diff --git "a/validation/1800-1899/brandes_naturlehre02_1831.jsonl" "b/validation/1800-1899/brandes_naturlehre02_1831.jsonl" new file mode 100644--- /dev/null +++ "b/validation/1800-1899/brandes_naturlehre02_1831.jsonl" @@ -0,0 +1,2949 @@ +{"basename":"brandes_naturlehre02_1831","par_idx":0,"date":1831,"orig":"Vorleſungen uͤber die Naturlehre zur Belehrung derer, denen es an mathematiſchen Vorkenntniſſen fehlt.","norm":"Vorlesungen über die Naturlehre zur Belehrung derer, denen es an mathematischen Vorkenntnissen 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+{"basename":"brandes_naturlehre02_1831","par_idx":151,"date":1831,"orig":"Wirkungen der Anziehungskraft feſter Koͤrper.","norm":"Wirkungen der Anziehungskraft fester Körper.","orig_tok":["Wirkungen","der","Anziehungskraft","feſter","Koͤrper","."],"norm_tok":["Wirkungen","der","Anziehungskraft","fester","Körper","."],"orig_spans":[[0,9],[10,13],[14,29],[30,36],[37,44],[44,45]],"norm_spans":[[0,9],[10,13],[14,29],[30,36],[37,43],[43,44]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"lb","orig_lang_de":0.667,"norm_lmscore":4.175899982452393} +{"basename":"brandes_naturlehre02_1831","par_idx":152,"date":1831,"orig":"So lange die Koͤrpertheilchen nicht in unmittelbarer Beruͤhrung ſind, ſcheint, bei geringen wie bei großen Entfernungen, die Kraft der Anziehung ſo abzunehmen, wie die Quadrate der Entfernung zunehmen, und obgleich die geringe Einwirkung kleiner Maſſen keine bis auf das Aeußerſte genaue Verſuche geſtattet, ſo ſcheinen doch Cavendiſhs Verſuche dieſes Geſetz zu beſtaͤtigen.","norm":"Solange die Körperteilchen nicht in unmittelbarer Berührung sind, scheint, bei geringen wie bei großen Entfernungen, die Kraft der Anziehung so abzunehmen, wie die Quadrate der Entfernung zunehmen, und obgleich die geringe Einwirkung kleiner Massen keine bis auf das Äußerste genaue Versuche gestattet, so scheinen doch Cavendishs Versuche dieses Gesetz zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":161,"date":1831,"orig":"Dieſe zweiten Verſuche wurden mit Glasflaͤchen, die an Faͤden von 80 Linien lang pendelartig aufgehaͤngt waren, angeſtellt, und es wurde die Zeit ihrer Schwingungen beobachtet, wenn die eine Glasflaͤche der andern ſehr nahe gebracht war.","norm":"Diese zweiten Versuche wurden mit Glasflächen, die an Fäden von 80 Linien lang pendelartig aufgehängt waren, angestellt, und es wurde die Zeit ihrer Schwingungen beobachtet, wenn die eine Glasfläche der anderen sehr nahe gebracht 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+{"basename":"brandes_naturlehre02_1831","par_idx":162,"date":1831,"orig":"Um dieſe Verſuche ganz zu uͤberſehen, ſtellen Sie ſich (Fig. 1.) zwei ebne Glasplatten AB, CD vor, die man im Waſſer einander ſehr nahe bringen kann.","norm":"Um diese Versuche ganz zu übersehen, stellen Sie sich (Fig. 1.) zwei ebne Glasplatten AB, CD vor, die man im Wasser einander sehr nahe bringen 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+{"basename":"brandes_naturlehre02_1831","par_idx":163,"date":1831,"orig":"Sie ſind an den Faͤden AE, CF ſo aufgehaͤngt, daß ſie Pendelſchwingungen machen koͤnnen, ſobald man die 80 Linien entfernten Enden E, F, nach e oder f verſchiebt, und dann die Platten, welche man bis dahin in ihrer Lage feſtgehalten hat, frei laͤßt.","norm":"Sie sind an den Fäden AE, CF so aufgehängt, dass sie Pendelschwingungen machen können, sobald man die 80 Linien entfernten Enden E, F, nach e oder f verschiebt, und dann die Platten, welche man bis dahin in ihrer Lage festgehalten hat, frei 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+{"basename":"brandes_naturlehre02_1831","par_idx":164,"date":1831,"orig":"Damit die Wirkung der Schwere hier geringe ſei und die Pendelbewegung langſam genug, um gut beobachtet zu werden, ſtatt finde, werden die Glasplatten mit Korkſtuͤcken verbunden, wodurch ſie ein nur ſehr wenig groͤßeres ſpecifiſches Gewicht als das Waſſer behalten; und bei dieſer geringen Einwirkung der Schwere werden nun, behauptet Girard, die Einwirkungen der einen Glasplatte auf die andre merklich.","norm":"Damit die Wirkung der Schwere hier geringe sei und die Pendelbewegung langsam genug, um gut beobachtet zu werden, stattfinde, werden die Glasplatten mit Korkstücken verbunden, wodurch sie ein nur sehr wenig größeres spezifisches Gewicht als das Wasser behalten; und bei dieser geringen Einwirkung der Schwere werden nun, behauptet Girard, die Einwirkungen der einen Glasplatte auf die andere 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F nach f, zum Beiſpiel in einem der Verſuche 4½ Lin. (ein Centimeter) weit, laͤßt dann die Platte CD frei und beobachtet die Zeit ihres erſten Pendelſchwunges.","norm":"Man bringt nämlich die beiden Glasplatten einander so nahe, dass nur noch ein dünner Silberfaden zwischen ihnen Platz hat, schraubt, während die Glasplatten noch in ihrer Entfernung erhalten werden, (Fig. 2.) F nach f, zum Beispiel in einem der Versuche 41/2 Lin. (ein Zentimeter) weit, lässt dann die Platte CD frei und beobachtet die Zeit ihres ersten 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+{"basename":"brandes_naturlehre02_1831","par_idx":166,"date":1831,"orig":"Statt nun daß dieſe erſte Schwingung 91 Secunden gebrauchte, wenn der Silberfaden die Platten in ⅑ Linie Entfernung erhalten hatte, ſo betrug die Zeit 217 Secunden, wenn dieſe Entfernung nur [Formel] Linie geweſen war, und 440 Secunden, wenn die Entfernung nur [Formel] Linie betragen hatte.","norm":"statt nun dass diese erste Schwingung 91 Sekunden gebrauchte, wenn der Silberfaden die Platten in ⅑ Linie Entfernung erhalten hatte, so betrug die Zeit 217 Sekunden, wenn diese Entfernung nur [Formel] Linie gewesen war, und 440 Sekunden, wenn die Entfernung nur [Formel] Linie betragen 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+{"basename":"brandes_naturlehre02_1831","par_idx":167,"date":1831,"orig":"Stellen Sie ſich naͤmlich in Fig. 2. dieſe kleinen Bewegungen ſtark vergroͤßert vor, ſo iſt in dem Augenblicke, wo die Platte CD ihre Bewegung anfaͤngt, der Faden Cf ſeitwaͤrts abgelenkt; die Platte CD ſollte alſo, weil ſie doch um etwas weniges ſpecifiſch ſchwerer als Waſſer iſt, eine langſame Pendelbewegung anfangen; aber die anziehende Kraft der Platte AB und des zwiſchen beiden durch die ausgeuͤbte Anziehung verdichteten Waſſers haͤlt CD zuruͤck, bewirkt alſo, daß die Zeit der erſten Oſcillation laͤnger wird.","norm":"Stellen Sie sich nämlich in Fig. 2. diese kleinen Bewegungen stark vergrößert vor, so ist in dem Augenblicke, wo die Platte CD ihre Bewegung anfängt, der Faden Cf seitwärts abgelenkt; die Platte CD sollte also, weil sie doch um etwas weniges spezifisch schwerer als Wasser ist, eine langsame Pendelbewegung anfangen; aber die anziehende Kraft der Platte AB und des zwischen beiden durch die 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+{"basename":"brandes_naturlehre02_1831","par_idx":180,"date":1831,"orig":"Aus aͤhnlichen Ueberlegungen mag ſich auch das feſte Anhaften der Moͤrtel- Arten, des Kittes und ſo weiter erklaͤren laſſen, die eine ſo feſte Verbindung fuͤr gewiſſe Koͤrper bewirken, daß ſie eher in der Mitte ihrer eignen Maſſe zerreißen, als von dem Koͤrper, an welchem ſie anhaften, ſich trennen.","norm":"Aus ähnlichen Überlegungen mag sich auch das feste Anhaften der Mörtel-Arten, des Kittes und so weiter erklären lassen, die eine so feste Verbindung für gewisse Körper bewirken, dass sie eher in der Mitte ihrer eigenen Masse zerreißen, als von dem Körper, an welchem sie anhaften, sich 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+{"basename":"brandes_naturlehre02_1831","par_idx":181,"date":1831,"orig":"Kalk, der ohne Zuſatz von Sand trocken geworden iſt, erlangt keine erhebliche Feſtigkeit; aber die genaue Miſchung mit Sand giebt ihm die Eigenſchaft eines ſo feſten Verbindungsmittels; es muß alſo die Einwirkung der Sandkoͤrner auf die zwiſchen liegende, ſehr duͤnne Kalkſchichte dieſen Kalktheilchen die Eigenſchaft, feſter zuſammenzuhaͤngen, ertheilt haben.","norm":"Kalk, der ohne Zusatz von Sand trocken geworden ist, erlangt keine erhebliche Festigkeit; aber die genaue Mischung mit Sand gibt ihm die Eigenschaft eines so festen Verbindungsmittels; es muss also die Einwirkung der Sandkörner auf die zwischen liegende, sehr dünne Kalkschichte diesen Kalkteilchen die Eigenschaft, fester zusammenzuhängen, erteilt haben.","orig_tok":["Kalk",",","der","ohne","Zuſatz","von","Sand","trocken","geworden","iſt",",","erlangt","keine","erhebliche","Feſtigkeit",";","aber","die","genaue","Miſchung","mit","Sand","giebt","ihm","die","Eigenſchaft","eines","ſo","feſten","Verbindungsmittels",";","es","muß","alſo","die","Einwirkung","der","Sandkoͤrner","auf","die","zwiſchen","liegende",",","ſehr","duͤnne","Kalkſchichte","dieſen","Kalktheilchen","die","Eigenſchaft",",","feſter","zuſammenzuhaͤngen",",","ertheilt","haben","."],"norm_tok":["Kalk",",","der","ohne","Zusatz","von","Sand","trocken","geworden","ist",",","erlangt","keine","erhebliche","Festigkeit",";","aber","die","genaue","Mischung","mit","Sand","gibt","ihm","die","Eigenschaft","eines","so","festen","Verbindungsmittels",";","es","muss","also","die","Einwirkung","der","Sandkörner","auf","die","zwischen","liegende",",","sehr","dünne","Kalkschichte","diesen","Kalkteilchen","die","Eigenschaft",",","fester","zusammenzuhängen",",","erteilt","haben","."],"orig_spans":[[0,4],[4,5],[6,9],[10,14],[15,21],[22,25],[26,30],[31,38],[39,47],[48,51],[51,52],[53,60],[61,66],[67,77],[78,88],[88,89],[90,94],[95,98],[99,105],[106,114],[115,118],[119,123],[124,129],[130,133],[134,137],[138,149],[150,155],[156,158],[159,165],[166,184],[184,185],[186,188],[189,192],[193,197],[198,201],[202,212],[213,216],[217,228],[229,232],[233,236],[237,245],[246,254],[254,255],[256,260],[261,267],[268,280],[281,287],[288,301],[302,305],[306,317],[317,318],[319,325],[326,343],[343,344],[345,353],[354,359],[359,360]],"norm_spans":[[0,4],[4,5],[6,9],[10,14],[15,21],[22,25],[26,30],[31,38],[39,47],[48,51],[51,52],[53,60],[61,66],[67,77],[78,88],[88,89],[90,94],[95,98],[99,105],[106,114],[115,118],[119,123],[124,128],[129,132],[133,136],[137,148],[149,154],[155,157],[158,164],[165,183],[183,184],[185,187],[188,192],[193,197],[198,201],[202,212],[213,216],[217,227],[228,231],[232,235],[236,244],[245,253],[253,254],[255,259],[260,265],[266,278],[279,285],[286,298],[299,302],[303,314],[314,315],[316,322],[323,339],[339,340],[341,348],[349,354],[354,355]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.403600215911865} 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+{"basename":"brandes_naturlehre02_1831","par_idx":183,"date":1831,"orig":"Dieſer wichtige Einfluß, den theils ſchon eine ungleiche Glaͤtte der Oberflaͤche, ganz vorzuͤglich aber die ungleiche innere Beſchaffenheit der feſten Koͤrper zeigt, wird am deutlichſten ſichtbar bei der Beruͤhrung feſter und fluͤſſiger Koͤrper.","norm":"Dieser wichtige Einfluss, den teils schon eine ungleiche Glätte der Oberfläche, ganz vorzüglich aber die ungleiche innere Beschaffenheit der festen Körper zeigt, wird am deutlichsten sichtbar bei der Berührung fester und flüssiger 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+{"basename":"brandes_naturlehre02_1831","par_idx":184,"date":1831,"orig":"Es iſt bekannt, daß gewiſſe Koͤrper vom Waſſer nicht naß werden, ſondern daß das Waſſer ſich von ihnen zuruͤckzieht, und wo es etwa nicht ganz ſich von der Oberflaͤche entfernen kann, ſich in Tropfen zuſammenzieht, ſtatt daß andre Koͤrper benetzt, mit einer Waſſerſchichte uͤberzogen, aus dem Waſſer hervorgehn.","norm":"Es ist bekannt, dass gewisse Körper vom Wasser nicht nass werden, sondern dass das Wasser sich von ihnen zurückzieht, und wo es etwa nicht ganz sich von der Oberfläche entfernen kann, sich in Tropfen zusammenzieht, statt dass andere Körper benetzt, mit einer Wasserschichte überzogen, aus dem Wasser 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+{"basename":"brandes_naturlehre02_1831","par_idx":186,"date":1831,"orig":"Da hingegen, wo eine Befeuchtung der Oberflaͤche ſtatt findet, halten dieſe Oberflaͤchen die Fluͤſſigkeit mit bedeutender Gewalt feſt, und dieſe Kraft laͤßt ſich in mehreren merkwuͤrdigen Erſcheinungen nachweiſen.","norm":"Da hingegen, wo eine Befeuchtung der Oberfläche stattfindet, halten diese Oberflächen die Flüssigkeit mit bedeutender Gewalt fest, und diese Kraft lässt sich in mehreren merkwürdigen Erscheinungen 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+{"basename":"brandes_naturlehre02_1831","par_idx":187,"date":1831,"orig":"Erſcheinungen in den Haarroͤhrchen.","norm":"Erscheinungen in den Haarröhrchen.","orig_tok":["Erſcheinungen","in","den","Haarroͤhrchen","."],"norm_tok":["Erscheinungen","in","den","Haarröhrchen","."],"orig_spans":[[0,13],[14,16],[17,20],[21,34],[34,35]],"norm_spans":[[0,13],[14,16],[17,20],[21,33],[33,34]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.654699802398682} +{"basename":"brandes_naturlehre02_1831","par_idx":188,"date":1831,"orig":"Eine der auffallendſten dieſer Erſcheinungen iſt das Aufſteigen der Fluͤſſigkeiten in Haarroͤhrchen.","norm":"Eine der auffallendsten dieser Erscheinungen ist das Aufsteigen der Flüssigkeiten in 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Fluͤſſigkeit, in welche wir ſie eintauchen, hinauftritt; daß im Loͤſchpapier die Befeuchtung, indem wir es in Waſſer tauchen, viel hoͤher als die Oberflaͤche geht; und das, was wir hier oft ſehen, zeigt ſich uns noch genauer in engen Glasroͤhren, die wir in Waſſer, Alcohol und andre Fluͤſſigkeiten eintauchen.","norm":"Es ist bekannt, dass wir in einer befeuchteten Feder die Tinte über die Oberfläche im Gefäße heraufsteigen sehen, dass in einer Reißfeder, deren Seitenflächen einander nahe sind, die Flüssigkeit, in welche wir sie eintauchen, hinauftritt; dass im Löschpapier die Befeuchtung, indem wir es in Wasser tauchen, viel höher als die Oberfläche geht; und das, was wir hier oft sehen, zeigt sich uns noch genauer in engen Glasröhren, die wir in Wasser, Alkohol und andere Flüssigkeiten 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jenes den Gesetzen der Hydrostatik anscheinend widersprechende Hinaufsteigen erklärlich 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zweifeln koͤnnte, ob eine in ſo enge Grenzen eingeſchloſſene Kraft bis in die Mitte des Haarroͤhrchens wirken und dort die Fluͤſſigkeit gehoben erhalten koͤnne.","norm":"Gegen die Erklärung dieser Erscheinungen, nach welcher sie als Folge der anziehenden Kraft der Röhrenwand anzusehen sind, von der wir doch behaupten, dass sie nur bis zu höchst kleinen Abständen merklich sei, scheint ein Einwurf so fern stattzufinden, als man zweifeln könnte, ob eine in so enge Grenzen eingeschlossene Kraft bis in die Mitte des Haarröhrchens wirken und dort die Flüssigkeit gehoben erhalten 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So bilden ſich Saͤulen, die die ganze Roͤhre fuͤllen, jede naͤher gegen den Mittelpunct zu liegende immer um etwas Geringes niedriger, als die der Wand naͤher liegende, und die Oberflaͤche des Fluͤſſigen in der Roͤhre bildet eine Hoͤhlung, eine Concavitaͤt, deren Entſtehung wohl aus dieſen Bemerkungen deutlich wird.","norm":"Indes ist dieser Einwurf offenbar leicht zu widerlegen, indem es von selbst erhellt, dass die Röhrenwand nur eine sehr dünne Schicht, die mit ihr in unmittelbarer Berührung ist, erhält, diese Schicht selbst aber trägt die zunächst anliegende Schicht, diese die abermals weiter nach dem Inneren liegende u. s. w. So bilden sich Säulen, die die ganze Röhre füllen, jede näher gegen den Mittelpunkt zu Liegende immer um etwas Geringes niedriger, als die der Wand näher liegende, und die Oberfläche des Flüssigen in der Röhre bildet eine Höhlung, eine Konkavität, deren Entstehung wohl aus diesen Bemerkungen deutlich 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eine etwas nähere Einsicht in die scharfsinnigen Schlüsse, auf denen Laplaces Theorie beruht, auch Ihnen angenehm sein wird, so werde ich versuchen, in populärer Darstellung Ihnen etwas von dem anzugeben, was den mathematischen Rechnungen Laplaces zum Grunde 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DE die Oberflaͤche ausmachte.","norm":"Und hier erhellt leicht, dass, so eng begrenzt auch die Anziehungsweite der der Achse benachbarten Teilchen ist, doch die um C oberhalb DE liegenden Teilchen eine Anziehung hinaufwärts ausüben, die nicht stattfände, wenn (Fig. 5.) 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+{"basename":"brandes_naturlehre02_1831","par_idx":219,"date":1831,"orig":"Dieſe der Kugelſchichte entſprechende Anziehung findet in C in der Axe der Roͤhre ſtatt, ſie findet dagegen offenbar nicht ſtatt in F, in der freien horizontalen Oberflaͤche des Fluͤſſigen; in C vermindert ſie den hinabwaͤrts gehenden Druck der Saͤule CK, die daher der ebenſo tief hinab, bis zu einerlei Horizontallinie IK, reichende Saͤule FI nur dann das Gleichgewicht halten kann, wenn jene hoͤher iſt.","norm":"Diese der Kugelschichte entsprechende Anziehung findet in C in der Achse der Röhre statt, sie findet dagegen offenbar nicht statt in F, in der freien horizontalen Oberfläche des Flüssigen; in C vermindert sie den hinabwärts gehenden Druck der Säule CK, die daher der ebenso tief hinab, bis zu einerlei Horizontallinie IK, reichende Säule FI nur dann das Gleichgewicht halten kann, wenn jene höher 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+{"basename":"brandes_naturlehre02_1831","par_idx":220,"date":1831,"orig":"Wir duͤrfen alſo behaupten, daß die Saͤule Cc, die oberhalb der Oberflaͤche des umgebenden Fluͤſſigen liegt, durch dieſe gegenſeitige Anziehung der Waſſertheilchen auf einander getragen werde, daß die Einwirkung einer concaven Oberflaͤche einen Zug nach außen hervorbringe, welcher allein dieſer Form der Oberflaͤche zuzuſchreiben iſt.","norm":"Wir dürfen also behaupten, dass die Säule Cc, die oberhalb der Oberfläche des umgebenden Flüssigen liegt, durch diese gegenseitige Anziehung der Wasserteilchen aufeinander getragen werde, dass die Einwirkung einer konkaven Oberfläche einen Zug nach außen hervorbringe, welcher allein dieser Form der Oberfläche zuzuschreiben 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+{"basename":"brandes_naturlehre02_1831","par_idx":221,"date":1831,"orig":"Daß dieſe hebende Kraft in C, oder allgemein dieſe nach außen ziehende Kraft einer concaven Oberflaͤche, dem Halbmeſſer der Kruͤmmung der Oberflaͤche umgekehrt proportional iſt, erhellt aus dem Vorigen.","norm":"Dass diese hebende Kraft in C, oder allgemein diese nach außen ziehende Kraft einer konkaven Oberfläche, dem Halbmesser der Krümmung der Oberfläche umgekehrt proportional ist, erhellt aus dem 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+{"basename":"brandes_naturlehre02_1831","par_idx":223,"date":1831,"orig":"Iſt DCE (Fig. 6.) dieſe Oberflaͤche, ab die ſie beruͤhrende Horizontallinie, ſo wuͤrden die dicht an C liegenden Theilchen der horizontalen Oberflaͤche eine anziehende Kraft hinaufwaͤrts ausuͤben, welche nicht ſtatt findet, wenn die oberhalb der Kugelflaͤche ihren Platz habenden Theilchen weggenommen ſind; es findet daher an der convexen Oberflaͤche ein verminderter Zug hinaufwaͤrts ſtatt, und folglich kann das Gleichgewicht zwiſchen der Saͤule CH in der Roͤhre und der Saͤule Ff außer der Roͤhre nur dann beſtehen, wenn jene Saͤule eine geringere Hoͤhe hat.","norm":"Ist DCE (Fig. 6.) diese Oberfläche, ab die sie berührende Horizontallinie, so würden die dicht an C liegenden Teilchen der horizontalen Oberfläche eine anziehende Kraft hinaufwärts ausüben, welche nicht stattfindet, wenn die oberhalb der Kugelfläche ihren Platz habenden Teilchen weggenommen sind; es findet daher an der konvexen Oberfläche ein verminderter Zug hinaufwärts statt, und folglich kann das Gleichgewicht zwischen der Säule CH in der Röhre und der Säule Ff außer der Röhre nur dann bestehen, wenn jene Säule eine geringere Höhe 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Theil aufgehoben, wenn der Raum bis zur Horizontalflaͤche mit der Fluͤſſigkeit gefuͤllt waͤre, aber dieſes findet jetzt nicht ſtatt, und die geſammte Einwirkung des Fluͤſſigen auf ſich ſelbſt beſteht alſo an der convexen Flaͤche in einem nach innen gekehrten Zuge, wodurch eine Vermehrung des Druckes hervorgebracht wird.","norm":"So geringe auch die Abstände sein mögen, von welchen her noch eine Einwirkung auf C stattfindet, so sind es doch in der konvexen Kugel-Oberfläche niedriger liegende Teilchen, die auf C wirken, und also herabwärts ziehend wirken; ihre Wirkung würde zum Teil aufgehoben, wenn der Raum bis zur Horizontalfläche mit der Flüssigkeit gefüllt wäre, aber dieses findet jetzt nicht statt, und die gesamte Einwirkung des Flüssigen auf sich selbst besteht also an der konvexen Fläche in einem nach innen gekehrten Zuge, wodurch eine Vermehrung des Druckes hervorgebracht 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das eine nicht voͤllig mit Waſſer gefuͤllt, das andere leer iſt, daß nicht allein das Waſſer ſich in dem Loͤſchpapier hinaufzieht, ſondern ſogar das Waſſer in das andere Gefaͤß hinuͤbergefuͤhrt wird.","norm":"Wir legen ein Streifchen Löschpapier über die Ränder zweier nebeneinander stehender Gläser, und sehen, wenn das eine nicht völlig mit Wasser gefüllt, das andere leer ist, dass nicht allein das Wasser sich in dem Löschpapier hinaufzieht, sondern sogar das Wasser in das andere Gefäß hinübergeführt 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+{"basename":"brandes_naturlehre02_1831","par_idx":247,"date":1831,"orig":"Wir ſehen das heiße Oel im Dochte der Lampe hinaufſteigen. —","norm":"Wir sehen das heiße Öl im Dochte der Lampe hinaufsteigen . —","orig_tok":["Wir","ſehen","das","heiße","Oel","im","Dochte","der","Lampe","hinaufſteigen",".","—"],"norm_tok":["Wir","sehen","das","heiße","Öl","im","Dochte","der","Lampe","hinaufsteigen",".","—"],"orig_spans":[[0,3],[4,9],[10,13],[14,19],[20,23],[24,26],[27,33],[34,37],[38,43],[44,57],[57,58],[59,60]],"norm_spans":[[0,3],[4,9],[10,13],[14,19],[20,22],[23,25],[26,32],[33,36],[37,42],[43,56],[57,58],[59,60]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,null],[null,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.683000087738037} +{"basename":"brandes_naturlehre02_1831","par_idx":248,"date":1831,"orig":"Dies alles iſt die Wirkung der Haarroͤhrchenkraft, der Attraction, die alle dieſe Koͤrper auf die fluͤſſigen ausuͤben; ja man kann, wenn man ſich zum Brennen einer in Glas leicht aufſteigenden Fluͤſſigkeit bedient, ſtatt des Dochtes glaͤſerne Haarroͤhrchen anwenden.","norm":"Dies alles ist die Wirkung der Haarröhrchenkraft, der Attraktion, die alle diese Körper auf die flüssigen ausüben; ja man kann, wenn man sich zum Brennen einer in Glas leicht aufsteigenden Flüssigkeit bedient, statt des Dochtes gläserne Haarröhrchen 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+{"basename":"brandes_naturlehre02_1831","par_idx":249,"date":1831,"orig":"Wenn wir mit einem Tuche ein Glas austrocknen, ſo iſt es dieſe Anziehungskraft, welche die Feuchtigkeit in die Zwiſchenraͤume des Leinens und aͤhnlicher Subſtanzen hineinbringt, durch welche wir das Austrocknen zu Stande bringen.","norm":"Wenn wir mit einem Tuche ein Glas austrocknen, so ist es diese Anziehungskraft, welche die Feuchtigkeit in die Zwischenräume des Leinens und ähnlicher Substanzen hineinbringt, durch welche wir das Austrocknen zu Stande 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+{"basename":"brandes_naturlehre02_1831","par_idx":250,"date":1831,"orig":"Man hat das Emporſteigen des Saftes in den Pflanzen durch eben dieſe Kraft erklaͤrt; und wenn man auch darin zu weit gegangen iſt, indem dazu gewiß noch eine Lebensthaͤtigkeit mitwirkt, ſo iſt doch wenigſtens gewiß, daß auch die gewoͤhnliche Anziehungskraft nicht ganz ohne Einfluß dabei iſt.","norm":"Man hat das Emporsteigen des Saftes in den Pflanzen durch eben diese Kraft erklärt; und wenn man auch darin zu weit gegangen ist, indem dazu gewiss noch eine Lebenstätigkeit mitwirkt, so ist doch wenigstens gewiss, dass auch die gewöhnliche Anziehungskraft nicht ganz ohne Einfluss dabei 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+{"basename":"brandes_naturlehre02_1831","par_idx":252,"date":1831,"orig":"Sie beſteht (Fig. 10.) aus einem uͤber zwei Rollen A, B, gehenden Seile ohne Ende; die um die untere Rolle B gehenden Theile des Seiles tauchen ſich in Waſſer und befeuchten ſich damit, und indem man mit ſchnellem Drehen der obern Rolle das Seil zu einem Umlaufe noͤthigt, werden die naſſen Theile b des Seiles hinaufgefuͤhrt und nehmen dabei, ganz mit Waſſer bedeckt, deſto mehr Waſſer mit hinauf, je ſchneller die Bewegung iſt; dieſes ſtreifen ſie an der Rolle A ab, wo es in dem Kaſten C aufgefangen, durch die Roͤhre D abgeleitet und in einem bei E angebrachten Gefaͤße geſammelt wird.","norm":"Sie besteht (Fig. 10.) aus einem über zwei Rollen A, B, gehenden Seile ohne Ende; die um die untere Rolle B gehenden Teile des Seiles tauchen sich in Wasser und befeuchten sich damit, und indem man mit schnellem Drehen der oberen Rolle das Seil zu einem Umlaufe nötigt, werden die nassen Teile b des Seiles hinaufgeführt und 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+{"basename":"brandes_naturlehre02_1831","par_idx":260,"date":1831,"orig":"Faſt alle dieſe Bemerkungen bezogen ſich nur auf die Koͤrper, die vom Gefaͤße ſtark angezogen werden und ſich daher an den Waͤnden deſſelben in die Hoͤhe ziehen; aber auch die entgegengeſetzte Erſcheinung verdient unſere Aufmerkſamkeit.","norm":"Fast alle diese Bemerkungen bezogen sich nur auf die Körper, die vom Gefäße stark angezogen werden und sich daher an den Wänden desselben in die Höhe ziehen; aber auch die entgegengesetzte Erscheinung verdient unsere 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+{"basename":"brandes_naturlehre02_1831","par_idx":264,"date":1831,"orig":"Scheinbare Anziehung bis zu groͤßer Entfernungen durch die Kraft der Haarroͤhrchen.","norm":"Scheinbare Anziehung bis zu größer Entfernungen durch die Kraft der Haarröhrchen.","orig_tok":["Scheinbare","Anziehung","bis","zu","groͤßer","Entfernungen","durch","die","Kraft","der","Haarroͤhrchen","."],"norm_tok":["Scheinbare","Anziehung","bis","zu","größer","Entfernungen","durch","die","Kraft","der","Haarröhrchen","."],"orig_spans":[[0,10],[11,20],[21,24],[25,27],[28,35],[36,48],[49,54],[55,58],[59,64],[65,68],[69,82],[82,83]],"norm_spans":[[0,10],[11,20],[21,24],[25,27],[28,34],[35,47],[48,53],[54,57],[58,63],[64,67],[68,80],[80,81]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.032000064849853} +{"basename":"brandes_naturlehre02_1831","par_idx":265,"date":1831,"orig":"Noch eine andere Reihe von Erſcheinungen, wo ſelbſt in bedeutenden Entfernungen der Schein von Anziehung und Abſtoßung ſtatt findet, gehoͤrt hieher.","norm":"Noch eine andere Reihe von Erscheinungen, wo selbst in bedeutenden Entfernungen der Schein von Anziehung und Abstoßung stattfindet, gehört 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aus.","orig_tok":["So","lange","naͤmlich","die","ſchwimmenden",",","vom","Waſſer","bis","uͤber","die","Waſſerflaͤche","hinauf","befeuchteten","Koͤrper","noch","ziemlich","weit","von","einander","entfernt","ſind",",","ziehen","ſie","zwar","neben","ſich","das","Waſſer","etwas","hoͤher","hinauf",",","aber","doch","nicht","in","erheblichem","Grade",";","kommen","ſie","aber","einander","nahe",",","oder","kommen","ſie","nahe","an","den","Rand",",","ſo","ſteigt","zwiſchen","ihnen",",","wie","zwiſchen","zwei","Glastafeln",",","das","Waſſer","erheblich","hoͤher",",","und","uͤbt","nun","eine","die","Koͤrper","gegen","einander","ziehende","Kraft","aus","."],"norm_tok":["Solange","nämlich","die","schwimmenden",",","vom","Wasser","bis","über","die","Wasserfläche","hinauf","befeuchteten","Körper","noch","ziemlich","weit","voneinander","entfernt","sind",",","ziehen","sie","zwar","neben","sich","das","Wasser","etwas","höher","hinauf",",","aber","doch","nicht","in","erheblichem","Grade",";","kommen","sie","aber","einander","nahe",",","oder","kommen","sie","nahe","an","den","Rand",",","so","steigt","zwischen","ihnen",",","wie","zwischen","zwei","Glastafeln",",","das","Wasser","erheblich","höher",",","und","übt","nun","eine","die","Körper","gegen","einander","ziehende","Kraft","aus","."],"orig_spans":[[0,2],[3,8],[9,17],[18,21],[22,34],[34,35],[36,39],[40,46],[47,50],[51,56],[57,60],[61,74],[75,81],[82,94],[95,102],[103,107],[108,116],[117,121],[122,125],[126,134],[135,143],[144,148],[148,149],[150,156],[157,160],[161,165],[166,171],[172,176],[177,180],[181,187],[188,193],[194,200],[201,207],[207,208],[209,213],[214,218],[219,224],[225,227],[228,239],[240,245],[245,246],[247,253],[254,257],[258,262],[263,271],[272,276],[276,277],[278,282],[283,289],[290,293],[294,298],[299,301],[302,305],[306,310],[310,311],[312,314],[315,321],[322,330],[331,336],[336,337],[338,341],[342,350],[351,355],[356,366],[366,367],[368,371],[372,378],[379,388],[389,395],[395,396],[397,400],[401,405],[406,409],[410,414],[415,418],[419,426],[427,432],[433,441],[442,450],[451,456],[457,460],[460,461]],"norm_spans":[[0,7],[8,15],[16,19],[20,32],[32,33],[34,37],[38,44],[45,48],[49,53],[54,57],[58,70],[71,77],[78,90],[91,97],[98,102],[103,111],[112,116],[117,128],[129,137],[138,142],[142,143],[144,150],[151,154],[155,159],[160,165],[166,170],[171,174],[175,181],[182,187],[188,193],[194,200],[200,201],[202,206],[207,211],[212,217],[218,220],[221,232],[233,238],[238,239],[240,246],[247,250],[251,255],[256,264],[265,269],[269,270],[271,275],[276,282],[283,286],[287,291],[292,294],[295,298],[299,303],[303,304],[305,307],[308,314],[315,323],[324,329],[329,330],[331,334],[335,343],[344,348],[349,359],[359,360],[361,364],[365,371],[372,381],[382,387],[387,388],[389,392],[393,396],[397,400],[401,405],[406,409],[410,416],[417,422],[423,431],[432,440],[441,446],[447,450],[450,451]],"alignment":[[0,0],[1,0],[2,1],[3,2],[4,3],[5,4],[6,5],[7,6],[8,7],[9,8],[10,9],[11,10],[12,11],[13,12],[14,13],[15,14],[16,15],[17,16],[18,17],[19,17],[20,18],[21,19],[22,20],[23,21],[24,22],[25,23],[26,24],[27,25],[28,26],[29,27],[30,28],[31,29],[32,30],[33,31],[34,32],[35,33],[36,34],[37,35],[38,36],[39,37],[40,38],[41,39],[42,40],[43,41],[44,42],[45,43],[46,44],[47,45],[48,46],[49,47],[50,48],[51,49],[52,50],[53,51],[54,52],[55,53],[56,54],[57,55],[58,56],[59,57],[60,58],[61,59],[62,60],[63,61],[64,62],[65,63],[66,64],[67,65],[68,66],[69,67],[70,68],[71,69],[72,70],[73,71],[74,72],[75,73],[76,74],[77,75],[78,76],[79,77],[80,78],[81,79]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.028999805450439} +{"basename":"brandes_naturlehre02_1831","par_idx":268,"date":1831,"orig":"Sind AB, CD, (Fig. 13.) ſolche ſchwimmende Koͤrper, ſo ſteht die Waſſerflaͤche zwiſchen ihnen hoͤher als an den aͤußern Seiten, und da beim Eingange des durch ſie begrenzten Raumes, bei a ein Gleichgewicht der Preſſungen ſtatt findet, ſo iſt in jedem oberhalb der Waſſerflaͤche EF liegenden Puncte innerhalb des engen Raumes der Druck niederwaͤrts geringer, als der Zug hinaufwaͤrts.","norm":"Sind AB, CD, (Fig. 13.) solche schwimmende Körper, so steht die Wasserfläche zwischen ihnen höher als an den äußeren Seiten, und da beim Eingange des durch sie begrenzten Raumes, bei a ein Gleichgewicht der Pressungen stattfindet, so ist in jedem oberhalb der Wasserfläche EF liegenden Punkte innerhalb des engen Raumes der Druck niederwärts geringer, als der Zug hinaufwärts.","orig_tok":["Sind","AB",",","CD",",","(","Fig.","13.",")","ſolche","ſchwimmende","Koͤrper",",","ſo","ſteht","die","Waſſerflaͤche","zwiſchen","ihnen","hoͤher","als","an","den","aͤußern","Seiten",",","und","da","beim","Eingange","des","durch","ſie","begrenzten","Raumes",",","bei","a","ein","Gleichgewicht","der","Preſſungen","ſtatt","findet",",","ſo","iſt","in","jedem","oberhalb","der","Waſſerflaͤche","EF","liegenden","Puncte","innerhalb","des","engen","Raumes","der","Druck","niederwaͤrts","geringer",",","als","der","Zug","hinaufwaͤrts","."],"norm_tok":["Sind","AB",",","CD",",","(","Fig",".","13.",")","solche","schwimmende","Körper",",","so","steht","die","Wasserfläche","zwischen","ihnen","höher","als","an","den","äußeren","Seiten",",","und","da","beim","Eingange","des","durch","sie","begrenzten","Raumes",",","bei","a","ein","Gleichgewicht","der","Pressungen","stattfindet",",","so","ist","in","jedem","oberhalb","der","Wasserfläche","EF","liegenden","Punkte","innerhalb","des","engen","Raumes","der","Druck","niederwärts","geringer",",","als","der","Zug","hinaufwärts","."],"orig_spans":[[0,4],[5,7],[7,8],[9,11],[11,12],[13,14],[14,18],[19,22],[22,23],[24,30],[31,42],[43,50],[50,51],[52,54],[55,60],[61,64],[65,78],[79,87],[88,93],[94,100],[101,104],[105,107],[108,111],[112,119],[120,126],[126,127],[128,131],[132,134],[135,139],[140,148],[149,152],[153,158],[159,162],[163,173],[174,180],[180,181],[182,185],[186,187],[188,191],[192,205],[206,209],[210,220],[221,226],[227,233],[233,234],[235,237],[238,241],[242,244],[245,250],[251,259],[260,263],[264,277],[278,280],[281,290],[291,297],[298,307],[308,311],[312,317],[318,324],[325,328],[329,334],[335,347],[348,356],[356,357],[358,361],[362,365],[366,369],[370,382],[382,383]],"norm_spans":[[0,4],[5,7],[7,8],[9,11],[11,12],[13,14],[14,17],[17,18],[19,22],[22,23],[24,30],[31,42],[43,49],[49,50],[51,53],[54,59],[60,63],[64,76],[77,85],[86,91],[92,97],[98,101],[102,104],[105,108],[109,116],[117,123],[123,124],[125,128],[129,131],[132,136],[137,145],[146,149],[150,155],[156,159],[160,170],[171,177],[177,178],[179,182],[183,184],[185,188],[189,202],[203,206],[207,217],[218,229],[229,230],[231,233],[234,237],[238,240],[241,246],[247,255],[256,259],[260,272],[273,275],[276,285],[286,292],[293,302],[303,306],[307,312],[313,319],[320,323],[324,329],[330,341],[342,350],[350,351],[352,355],[356,359],[360,363],[364,375],[375,376]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[6,7],[7,8],[8,9],[9,10],[10,11],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[24,25],[25,26],[26,27],[27,28],[28,29],[29,30],[30,31],[31,32],[32,33],[33,34],[34,35],[35,36],[36,37],[37,38],[38,39],[39,40],[40,41],[41,42],[42,43],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.953499794006348} 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+{"basename":"brandes_naturlehre02_1831","par_idx":289,"date":1831,"orig":"Daß eben hierauf die Geſtalt der gewoͤlbten Oberflaͤche beruht, die wir Waſſer in einem am Rande trockenen Gefaͤße annehmen ſehen, wenn es ſich uͤber den Rand erhebt, erhellt nun von ſelbſt.","norm":"Dass eben hierauf die Gestalt der gewölbten Oberfläche beruht, die wir Wasser in einem am Rande trockenen Gefäße annehmen sehen, wenn es sich über den Rand erhebt, erhellt nun von 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+{"basename":"brandes_naturlehre02_1831","par_idx":301,"date":1831,"orig":"Der Punct b leidet offenbar einen Druck durch die aufliegende Nadel von außen, durch die Waſſerſaͤule de von innen her, und beide Preſſungen heben einander auf; die Waſſertheilchen bei c leiden, tiefer liegend als d, einen Druck der kleinen, hoͤher ſtehenden Waſſerſaͤule; aber die Anziehungskraft, welche die Fluͤſſigkeit auf ſich ſelbſt an einer convexen Oberflaͤche e ausuͤbt, iſt nach innen gerichtet und zerſtoͤrt jenen Druck.","norm":"Der Punkt b leidet offenbar einen Druck durch die aufliegende Nadel von außen, durch die Wassersäule de von innen her, und beide Pressungen heben einander auf; die Wasserteilchen bei c leiden, tiefer liegend als d, einen Druck der kleinen, höher stehenden Wassersäule; aber die Anziehungskraft, welche die Flüssigkeit auf sich selbst an einer konvexen Oberfläche e ausübt, ist nach innen gerichtet und zerstört jenen 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+{"basename":"brandes_naturlehre02_1831","par_idx":302,"date":1831,"orig":"So ruht der viel ſchwerere Koͤrper auf dem leichtern Waſſer, ſo lange er ſich nicht benetzt, und ſo lange ſein Gewicht nicht mehr betraͤgt, als das von ihm und der ihn umgebenden Hoͤhlung aus der Stelle getriebene Waſſer.","norm":"So ruht der viel schwerere Körper auf dem leichteren Wasser, solange er sich nicht benetzt, und so lange sein Gewicht nicht mehr beträgt, als das von ihm und der ihn umgebenden Höhlung aus der Stelle getriebene 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+{"basename":"brandes_naturlehre02_1831","par_idx":304,"date":1831,"orig":"Sie ſehen aus dieſen mannigfaltigen Erſcheinungen, theils wie folgenreich die von Laplace richtig aufgefaßte Betrachtung der gegenſeitigen Anziehung der Theilchen an einer gekruͤmmten Oberflaͤche iſt, theils wie bedeutend ſich die Groͤße dieſer Kraͤfte zeigt.","norm":"Sie sehen aus diesen mannigfaltigen Erscheinungen, teils wie folgenreich die von Laplace richtig aufgefasste Betrachtung der gegenseitigen Anziehung der Teilchen an einer gekrümmten Oberfläche ist, teils wie bedeutend sich die Größe dieser Kräfte 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duͤrfen, wenigſtens etwas naͤher jene ganze Kraft kennen zu lernen.","norm":"Es gibt einige Phänomene, wo eine viel größere Anziehungskraft tätig zu sein scheint, und wo wir also wohl glauben dürfen, wenigstens etwas näher jene ganze Kraft 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dunkel.","norm":"Das lässt sich wohl einsehen, dass die Teilchen eines Flüssigen, einer Säure zum Beispiel, indem sie einen festen Körper innig berühren, seine Teilchen so anziehen können, dass sie dieselben nötigen, die Verbindung mit ihren nächsten Nachbarn aufzugeben, sich aufzulösen, in den flüssigen Körper überzugehen; es lässt sich einsehen, dass diese Anziehungskraft des flüssigen Körpers auf die nun schon getrennten Teile des Festen viel größer sein mag, wenn diese einzeln im Flüssigen schweben, indem nun nicht mehr von der Differenz der Wirkung benachbarter Teile des flüssigen und des festen Körpers die Rede ist, sondern der flüssige Körper seine ganze, volle Wirksamkeit ausübt; aber dass bei dieser großen Einwirkung aufeinander nun beide Körper ihre Natur verändern, dass ihre kleinsten Teilchen so miteinander in Verbindung treten, dass ein ganz neuer Körper entsteht, das bleibt immer gleich 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+{"basename":"brandes_naturlehre02_1831","par_idx":418,"date":1831,"orig":"Setzt man aber dieſer Aufloͤſung Schwefelſaͤure zu, ſo faͤllt ſogleich ein Niederſchlag zu Boden, der im Waſſer unaufloͤslich iſt, und der ſich ganz dem Gypſe, der ſchwefelſauren Kalk-Erde gleich zeigt, die wir eben vorhin als aus der Aufloͤſung des Kalkes in Schwefelſaͤure entſtehend kennen lernten.","norm":"Setzt man aber dieser Auflösung Schwefelsäure zu, so fällt sogleich ein Niederschlag zu Boden, der im Wasser unauflöslich ist, und der sich ganz dem Gypse, der schwefelsauren Kalkerde gleich zeigt, die wir eben vorhin als aus der Auflösung des Kalkes in Schwefelsäure entstehend kennen 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+{"basename":"brandes_naturlehre02_1831","par_idx":419,"date":1831,"orig":"Es zeigt ſich alſo die Anziehungskraft der Schwefelſaͤure gegen Kalk-Erde maͤchtiger, als die der Salpeterſaͤure gegen Kalk-Erde, und daher nimmt die Schwefelſaͤure die Kalktheilchen zu einer Verbindung mit ſich auf, indem ſie dieſelben der Aufloͤſung in Salpeterſaͤure entreißt.","norm":"Es zeigt sich also die Anziehungskraft der Schwefelsäure gegen Kalkerde mächtiger, als die der Salpetersäure gegen Kalkerde, und daher nimmt die Schwefelsäure die Kalkteilchen zu einer Verbindung mit sich auf, indem sie dieselben der Auflösung in Salpetersäure 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+{"basename":"brandes_naturlehre02_1831","par_idx":420,"date":1831,"orig":"Man ſpricht daher von einer Verwandtſchaft der Koͤrper unter einander und von einer Wahlverwandtſchaft, vermoͤge welcher hier die Kalk-Erde ſich vorzugsweiſe, gleichſam aus Wahl, wegen naͤherer Verwandtſchaft, der Schwefelſaͤure hingiebt, waͤhrend ſie die Salpeterſaͤure verlaͤßt.","norm":"Man spricht daher von einer Verwandtschaft der Körper untereinander und von einer Wahlverwandtschaft, vermöge welcher hier die Kalkerde sich vorzugsweise, gleichsam aus Wahl, wegen näherer Verwandtschaft, der Schwefelsäure hingibt, während sie die Salpetersäure 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+{"basename":"brandes_naturlehre02_1831","par_idx":421,"date":1831,"orig":"Eine ebenſolche Wahlverwandtſchaft, bei welcher die Schwefelſaͤure den Vorzug hat, zeigt ſich ſchon bei der Aufloͤſung der Kreide in Schwefelſaͤure.","norm":"Eine ebensolche Wahlverwandtschaft, bei welcher die Schwefelsäure den Vorzug hat, zeigt sich schon bei der Auflösung der Kreide in 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+{"basename":"brandes_naturlehre02_1831","par_idx":422,"date":1831,"orig":"Kreide iſt kohlenſaure Kalk-Erde, das heißt, die Kalk-Erde iſt hier ſchon mit einer Saͤure, die wir in Luftform, als kohlenſaure Luft, kohlenſaures Gas, kennen, verbunden; begießt man dieſe kohlenſaure Kalk-Erde mit Schwefelſaͤure, ſo loͤſt dieſe, vermoͤge ihrer ſtaͤrkern Verwandtſchaft, die Kalk-Erde auf, befreiet aber dadurch die Kohlenſaͤure von ihrer Verbindung mit der Kalk-Erde, und wir ſehen dieſe in Luftform, in Blaſen, unter ſtarkem Aufſchaͤumen entweichen.","norm":"Kreide ist kohlensaure Kalkerde, das heißt, die Kalkerde ist hier schon mit einer Säure, die wir in Luftform, als kohlensaure Luft, kohlensaures Gas, kennen, verbunden; begießt man diese kohlensaure Kalkerde mit Schwefelsäure, so löst diese, vermöge ihrer stärkeren Verwandtschaft, die Kalkerde auf, befreiet aber dadurch die Kohlensäure von ihrer Verbindung mit der Kalkerde, und wir sehen diese in Luftform, in Blasen, unter starkem Aufschäumen 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+{"basename":"brandes_naturlehre02_1831","par_idx":423,"date":1831,"orig":"Ebenſo geſchieht es bei der Aufloͤſung der Sode, des kohlenſauern Natrum, in Salzſaͤure, und in unzaͤhligen andern Faͤllen.","norm":"Ebenso geschieht es bei der Auflösung der Sode, des Kohlensauern Natrum, in Salzsäure, und in unzähligen anderen 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+{"basename":"brandes_naturlehre02_1831","par_idx":424,"date":1831,"orig":"Eine ganz aͤhnliche Erſcheinung zeigt ſich dann, wenn zwei Fluͤſſigkeiten, deren eine einen feſten Koͤrper aufgeloͤſt enthaͤlt, eine groͤßere Verwandtſchaft zu einander, als zu dem feſten Koͤrper haben.","norm":"Eine ganz ähnliche Erscheinung zeigt sich dann, wenn zwei Flüssigkeiten, deren eine einen festen Körper aufgelöst enthält, eine größere Verwandtschaft zueinander, als zu dem festen Körper 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+{"basename":"brandes_naturlehre02_1831","par_idx":425,"date":1831,"orig":"Weingeiſt loͤſet Harz auf, aber ſobald man Waſſer zu dieſer Aufloͤſung gießt, entſteht ein Niederſchlag; das Waſſer naͤmlich hat eine ſtaͤrkere Verwandtſchaft zu dem Weingeiſte und noͤthigt daher die Harztheile, ihre Verbindung mit dem Weingeiſte aufzugeben, ſo daß ſie wieder als Harz die Fluͤſſigkeit truͤben und nicht mehr mit dem Weingeiſt verbunden bleiben.","norm":"Weingeist löset Harz auf, aber sobald man Wasser zu dieser Auflösung gießt, entsteht ein Niederschlag; das Wasser nämlich hat eine stärkere Verwandtschaft zu dem Weingeiste und nötigt daher die Harzteile, ihre Verbindung mit dem Weingeiste aufzugeben, so dass sie wieder als Harz die Flüssigkeit trüben und nicht mehr mit dem Weingeist verbunden 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+{"basename":"brandes_naturlehre02_1831","par_idx":429,"date":1831,"orig":"Bringt man beide Aufloͤſungen zuſammen, ſo entſteht eine doppelte neue Verbindung, indem die Kohlenſaͤure mit dem Kupfer (eigentlich mit dem Kupfer- Oxyd) einen im Waſſer unaufloͤslichen Koͤrper bildet, der zu Boden faͤllt, waͤhrend die Schwefelſaͤure mit dem Natron in Verbindung eingeht, aber als aufloͤsliches Salz im Waſſer aufgeloͤſt bleibt, ſo daß man es erſt durch Abdampfen aus dem Waſſer herſtellen koͤnnte.","norm":"Bringt man beide Auflösungen zusammen, so entsteht eine doppelte neue Verbindung, indem die Kohlensäure mit dem Kupfer (eigentlich mit dem Kupfer-Oxyd) einen im Wasser unauflöslichen Körper bildet, der zu Boden fällt, während die Schwefelsäure mit dem Natron in Verbindung eingeht, aber als auflösliches Salz im Wasser aufgelöst bleibt, so dass man es erst durch Abdampfen aus dem Wasser herstellen 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B., der nahen Verwandtſchaft der Gallusſaͤure auf Eiſen ungeachtet, dennoch das Eiſen an die Koͤrper, von welchen man es zu trennen hoffte, feſter gebunden waͤre, ſo daß die Trennung nicht ſtatt faͤnde, und ſo in aͤhnlichen Faͤllen bei Reagentien fuͤr andere Koͤrper .","norm":"Diese Prüfungsmittel können jedoch dann keine Entscheidung geben, wenn z. 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B. iſt das Eiſen mit der faͤrbenden Subſtanz des Blutes ſo feſt verbunden, daß es ſich durch die gewoͤhnlichen Reagentien nicht davon trennen laͤßt. Poggend. Ann. VII. 84.","norm":"So z. B. ist das Eisen mit der färbenden Substanz des Blutes so fest verbunden, dass es sich durch die gewöhnlichen Reagenzien nicht davon trennen lässt . Poggend. Ann. 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+{"basename":"brandes_naturlehre02_1831","par_idx":474,"date":1831,"orig":"Die Bildung der Salzcryſtalle, ſie moͤgen nun beim Abdampfen, oder beim Erkalten in den Faͤllen, wo die kalte Aufloͤſung nicht ſo viel Salz als die warme Aufloͤſung enthaͤlt, entſtehen, iſt im Allgemeinen bekannt genug.","norm":"Die Bildung der Salzkristalle, sie mögen nun beim Abdampfen, oder beim Erkalten in den Fällen, wo die kalte Auflösung nicht so viel Salz als die warme Auflösung enthält, entstehen, ist im Allgemeinen bekannt genug.","orig_tok":["Die","Bildung","der","Salzcryſtalle",",","ſie","moͤgen","nun","beim","Abdampfen",",","oder","beim","Erkalten","in","den","Faͤllen",",","wo","die","kalte","Aufloͤſung","nicht","ſo","viel","Salz","als","die","warme","Aufloͤſung","enthaͤlt",",","entſtehen",",","iſt","im","Allgemeinen","bekannt","genug","."],"norm_tok":["Die","Bildung","der","Salzkristalle",",","sie","mögen","nun","beim","Abdampfen",",","oder","beim","Erkalten","in","den","Fällen",",","wo","die","kalte","Auflösung","nicht","so","viel","Salz","als","die","warme","Auflösung","enthält",",","entstehen",",","ist","im","Allgemeinen","bekannt","genug","."],"orig_spans":[[0,3],[4,11],[12,15],[16,29],[29,30],[31,34],[35,41],[42,45],[46,50],[51,60],[60,61],[62,66],[67,71],[72,80],[81,83],[84,87],[88,95],[95,96],[97,99],[100,103],[104,109],[110,120],[121,126],[127,129],[130,134],[135,139],[140,143],[144,147],[148,153],[154,164],[165,173],[173,174],[175,184],[184,185],[186,189],[190,192],[193,204],[205,212],[213,218],[218,219]],"norm_spans":[[0,3],[4,11],[12,15],[16,29],[29,30],[31,34],[35,40],[41,44],[45,49],[50,59],[59,60],[61,65],[66,70],[71,79],[80,82],[83,86],[87,93],[93,94],[95,97],[98,101],[102,107],[108,117],[118,123],[124,126],[127,131],[132,136],[137,140],[141,144],[145,150],[151,160],[161,168],[168,169],[170,179],[179,180],[181,184],[185,187],[188,199],[200,207],[208,213],[213,214]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.081699848175049} +{"basename":"brandes_naturlehre02_1831","par_idx":475,"date":1831,"orig":"Die Cryſtalle bilden ſich deſto groͤßer aus, je langſamer die Zuruͤckfuͤhrung in den feſten Zuſtand ſtatt findet, und je mehr die Fluͤſſigkeit dabei in Ruhe bleibt.","norm":"Die Crystalle bilden sich desto größer aus, je langsamer die Zurückführung in den festen Zustand stattfindet, und je mehr die Flüssigkeit dabei in Ruhe 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+{"basename":"brandes_naturlehre02_1831","par_idx":476,"date":1831,"orig":"Merkwuͤrdig iſt dabei, daß, ſo weit unſere Beobachtungen gehen, die Geſtalt der Cryſtalle gleich vom kleinſten Anfange an dieſelbe iſt, wie bei der nachherigen Vergroͤßerung, und daß man die Ausbildung dieſer Form ſelbſt unter dem Microſcop nicht eigentlich verfolgen kann.","norm":"Merkwürdig ist dabei, dass, so weit unsere Beobachtungen gehen, die Gestalt der Crystalle gleich vom kleinsten Anfange an dieselbe ist, wie bei der nachherigen Vergrößerung, und dass man die Ausbildung dieser Form selbst unter dem Mikroskop nicht eigentlich verfolgen 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+{"basename":"brandes_naturlehre02_1831","par_idx":477,"date":1831,"orig":"Welche Kraͤfte wir uns hier als wirkend denken muͤſſen, was fuͤr Eigenſchaften die kleinſten Theilchen beſitzen muͤſſen, um ſich gerade in ſo beſtimmter Ordnung an einander anzulegen, das ſcheint dem Scharfſinn der Naturforſcher noch ganz und gar ein Raͤthſel zu ſein.","norm":"Welche Kräfte wir uns hier als wirkend denken müssen, was für Eigenschaften die kleinsten Teilchen besitzen müssen, um sich gerade in so bestimmter Ordnung aneinander anzulegen, das scheint dem Scharfsinn der Naturforscher noch ganz und gar ein Rätsel zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":478,"date":1831,"orig":"Es iſt offenbar, daß wir die ganze Natur der feſten Koͤrper, die Urſache ihrer mannigfaltigen Bildung, den Grund ihres in gewiſſen Richtungen groͤßern, in andern Richtungen geringern Zuſammenhanges verſtehen wuͤrden, wenn wir eine Einſicht in die Wirkungs-Art dieſer Kraͤfte beſaͤßen.","norm":"Es ist offenbar, dass wir die ganze Natur der festen Körper, die Ursache ihrer mannigfaltigen Bildung, den Grund ihres in gewissen Richtungen größeren, in anderen Richtungen geringeren Zusammenhanges verstehen würden, wenn wir eine Einsicht in die Wirkungsart dieser Kräfte 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+{"basename":"brandes_naturlehre02_1831","par_idx":479,"date":1831,"orig":"Aber ſelbſt uͤber das naͤher liegende, uͤber die verſchiedenen Formen, die bei der Cryſtalliſirung ſtatt finden, uͤber die ſyſtematiſche Ueberſicht dieſer Cryſtallformen u. ſ. w. kann ich Sie hier nicht unterhalten, weil der Gegenſtand viel zu weitlaͤufig iſt, um hier eingeſchaltet zu werden, und in der That die Cryſtallographie zu einer ziemlich ſchwer zu uͤberſehenden, ausgedehnten Wiſſenſchaft geworden iſt.","norm":"Aber selbst über das näher liegende, über die verschiedenen Formen, die bei der Kristallisierung stattfinden, über die systematische Übersicht dieser Kristallformen u. s. w. kann ich Sie hier nicht unterhalten, weil der Gegenstand viel zu weitläufig ist, um hier eingeschaltet zu werden, und in der Tat die Kristallographie zu einer ziemlich schwer zu übersehenden, ausgedehnten Wissenschaft geworden 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+{"basename":"brandes_naturlehre02_1831","par_idx":481,"date":1831,"orig":"Die Cryſtalle laſſen ſich in gewiſſen Richtungen ſehr leicht, in andern Richtungen ſchwer zerlegen, und bieten daher natuͤrliche Durchgangsſchichten dar.","norm":"Die Crystalle lassen sich in gewissen Richtungen sehr leicht, in anderen Richtungen schwer zerlegen, und bieten daher natürliche Durchgangsschichten 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bestimmte integrierende Teilchen doch nur bestimmte Formen geben können, und daher gewisse Körper zwar zu verschiedenen Kristallformen, aber doch nur zu denen, die einer einzigen Art integrierender Teilchen entsprechen, geneigt 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Reihen in der Breite haben, ſo gelangt man durch zehn Schichten zu einem großen Wuͤrfel, der tauſend jener kleinen Wuͤrfel enthaͤlt, und der Wuͤrfel, Cubus, iſt alſo eine der Cryſtallformen, die aus jenen Wuͤrfelchen hervorgehen kann.","norm":"Wenn man sehr kleine Würfel so auf und aneinander schichtet, dass alle Schichten zehn Reihen in der Länge und zehn Reihen in der Breite haben, so gelangt man durch zehn Schichten zu einem großen Würfel, der tausend jener kleinen Würfel enthält, und der Würfel, Kubus, ist also eine der Kristallformen, die aus jenen Würfelchen hervorgehen 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*), und dass dies an allen Seiten so der Fall 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+{"basename":"brandes_naturlehre02_1831","par_idx":489,"date":1831,"orig":"Doch dieſe Betrachtung iſt nur ein geringer Anfang deſſen, was die Cryſtallographie und Cryſtallonomie leiſtet.","norm":"Doch diese Betrachtung ist nur ein geringer Anfang dessen, was die Kristallographie und Crystallonomie 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Lichtphaͤnomenen zu ergeben ſcheint, nicht nach allen Richtungen gleiche anziehende Kraft der Theilchen, und uͤber die Moͤglichkeit, daraus die Bildung der Cryſtalle abzuleiten, wage ich nicht etwas weiter zu ſagen, da dieſer Gegenſtand mir noch viel zu wenig klar entwickelt zu ſein ſcheint.","norm":"Über die, wie es sich aus den Lichtphänomenen zu ergeben scheint, nicht nach allen Richtungen gleiche anziehende Kraft der Teilchen, und über die Möglichkeit, daraus die Bildung der Crystalle abzuleiten, wage ich nicht etwas weiter zu sagen, da dieser Gegenstand mir noch viel zu wenig klar entwickelt zu sein 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H., und so wenig ich, als weit davon entfernt, mich für einen Chemiker auszugeben, es wagen darf, mich in eine tiefere Entwicklung chemischer Gegenstände einzulassen, so scheint es mir doch, dass einige in der neueren Chemie mit Glück beantwortete Hauptfragen hier noch erwähnt werden müssen, und von einigen Körpern und ihren Verbindungen hier geredet werden muss, so sehr auch immer diese fragmentarische Darstellung das Ansehen der Willkür und der Unzulänglichkeit haben 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noch am meisten ins Licht zu stellen; doch da ich hier nicht in den ganzen Umfang dieser Untersuchung einzugehen wagen darf, so will ich mich mehr bemühen, von einigen bekannteren und wichtigeren, mit anderen Zweigen der Physik in näherer Beziehung stehenden Stoffen etwas zu sagen, als mich über alle zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":537,"date":1831,"orig":"Die wichtige Frage, durch welche Mittel die Natur das Verhaͤltniß der beiden in der Atmoſphaͤre enthaltenen Luft-Arten beſtaͤndig beinahe unveraͤndert erhaͤlt, iſt noch immer nicht ganz beantwortet.","norm":"Die wichtige Frage, durch welche Mittel die Natur das Verhältnis der beiden in der Atmosphäre enthaltenen Luftarten beständig beinahe unverändert erhält, ist noch immer nicht ganz 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+{"basename":"brandes_naturlehre02_1831","par_idx":539,"date":1831,"orig":"Man hat zwar ſchon lange gewußt, daß die Pflanzen bei geſunder und friſcher Vegetation im Sonnenlichte Sauerſtoffgas erzeugen, aber da ſie bei Nacht und ſelbſt im Schatten dieſe Luft- Art wieder in ſich aufnehmen, ſo hat man es zweifelhaft gefunden, ob die Vegetation jene Gleichheit herſtellen koͤnne.","norm":"Man hat zwar schon lange gewusst, dass die Pflanzen bei gesunder und frischer Vegetation im Sonnenlichte Sauerstoffgas erzeugen, aber da sie bei Nacht und selbst im Schatten diese Luft-Art wieder in sich aufnehmen, so hat man es zweifelhaft gefunden, ob die Vegetation jene Gleichheit herstellen 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+{"basename":"brandes_naturlehre02_1831","par_idx":560,"date":1831,"orig":"Von dieſen hoͤchſt mannigfaltigen Verbindungen will ich nur zwei erwaͤhnen, die Oxyde als Verbindungen eines Metalles mit Sauerſtoff, und die Salze als Verbindungen dieſer Oxyde mit Saͤuren.","norm":"Von diesen höchst mannigfaltigen Verbindungen will ich nur zwei erwähnen, die Oxyde als Verbindungen eines Metalles mit Sauerstoff, und die Salze als Verbindungen dieser Oxyde mit 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+{"basename":"brandes_naturlehre02_1831","par_idx":561,"date":1831,"orig":"Unter den Oxyden nehmen auch die ſonſt ſogenannten feuerbeſtaͤndigen Alcalien ihren Platz ein, indem ſich aus dieſen durch Trennung des Sauerſtoffs eigenthuͤmliche Metalle darſtellen laſſen.","norm":"Unter den Oxyden nehmen auch die sonst sogenannten feuerbeständigen Alkalien ihren Platz ein, indem sich aus diesen durch Trennung des Sauerstoffs eigentümliche Metalle darstellen 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+{"basename":"brandes_naturlehre02_1831","par_idx":562,"date":1831,"orig":"Daſſelbe gilt von der Kalk-Erde, Schwer-Erde, Thon-Erde u. ſ. w.","norm":"Dasselbe gilt von der Kalkerde, Schwererde, Tonerde u. s. w.","orig_tok":["Daſſelbe","gilt","von","der","Kalk-Erde",",","Schwer-Erde",",","Thon-Erde","u.","ſ.","w","."],"norm_tok":["Dasselbe","gilt","von","der","Kalkerde",",","Schwererde",",","Tonerde","u.","s.","w."],"orig_spans":[[0,8],[9,13],[14,17],[18,21],[22,31],[31,32],[33,44],[44,45],[46,55],[56,58],[59,61],[62,63],[63,64]],"norm_spans":[[0,8],[9,13],[14,17],[18,21],[22,30],[30,31],[32,42],[42,43],[44,51],[52,54],[55,57],[58,60]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,11]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.31279993057251} +{"basename":"brandes_naturlehre02_1831","par_idx":563,"date":1831,"orig":"Zuſammenſetzungen der Koͤrper nach feſten 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in ihren Verbindungen meiſtens ſehr einfache, und allemal ſehr beſtimmte Verhaͤltniſſe.","norm":"Wenn man die Auflösungen der Körper, wenn man die verschiedenen Körper, die aus einerlei Bestandteilen gebildet sind, oberflächlich betrachtet, so kann man zu dem Gedanken, als ob das Verhältnis der Bestandteile in diesen zusammengesetzten Körpern sehr zufällig sei, veranlasst werden; aber diese Meinung ist unrichtig, und die Körper befolgen dagegen in ihren Verbindungen meistens sehr einfache, und allemal sehr bestimmte 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B. wenn Weingeiſt ſich mit Waſſer miſcht, da kann, obgleich wir dieſe Miſchung nicht mit einer bloß mechaniſchen Mengung verwechſeln duͤrfen, ein ſehr mannigfaltiges Verhaͤltniß der Miſchungstheile eintreten.","norm":"Nur da, wo bei der chemischen Verbindung keine wesentlich neue Eigenschaften hervorgehen, wie z. 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+{"basename":"brandes_naturlehre02_1831","par_idx":566,"date":1831,"orig":"Von dem einfachen Verhaͤltniſſe in Ruͤckſicht der Quantitaͤt der Miſchungstheile habe ich kurz vorher ſchon ein Beiſpiel angefuͤhrt, und es iſt nicht etwa nur beinahe, ſondern ſtrenge wahr, daß aus einem Maaß Sauerſtoffgas und zwei Maaß Waſſerſtoffgas Waſſer entſteht.","norm":"Von dem einfachen Verhältnisse in Rücksicht der Quantität der Mischungsteile habe ich kurz vorher schon ein Beispiel angeführt, und es ist nicht etwa nur beinahe, sondern strenge wahr, dass aus einem Maß Sauerstoffgas und zwei Maß Wasserstoffgas Wasser 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+{"basename":"brandes_naturlehre02_1831","par_idx":567,"date":1831,"orig":"Und ſo wie hier das 1 und 2 ſo einfach vorkommt, ſo iſt es in unzaͤhligen andern Faͤllen. 1 Maaß Chlorgas verbindet ſich mit 1 Maaß Waſſerſtoffgas zu 2 Maaß ſalzſaurem Gas, — nur unter der Einwirkung des Lichtes. — 1 Maaß Sauerſtoffgas verbindet ſich mit 2 Maaß Stickgas zu einer eigenen Luft-Art, dem oxydirten Stickſtoff; dagegen 1 Maaß Sauerſtoffgas mit 1 Maaß Stickgas zum Salpetergas.","norm":"Und so wie hier das 1 und 2 so einfach vorkommt, so ist es in unzähligen anderen Fällen . 1 Maß Chlorgas verbindet sich mit 1 Maß Wasserstoffgas zu 2 Maß salzsaurem Gas, — nur unter der Einwirkung des Lichtes . — 1 Maß Sauerstoffgas verbindet sich mit 2 Maß Stickgas zu einer eigenen Luftart, dem oxydierten Stickstoff; dagegen 1 Maß Sauerstoffgas mit 1 Maß Stickgas zum 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+{"basename":"brandes_naturlehre02_1831","par_idx":572,"date":1831,"orig":"Eine ebenſo merkwuͤrdige Zahl als es 2,01 beim Schwefel war, iſt 3,39 beim Eiſen, 3,96 beim Kupfer.","norm":"Eine ebenso merkwürdige Zahl als es 2,01 beim Schwefel war, ist 3,39 beim Eisen, 3,96 beim 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+{"basename":"brandes_naturlehre02_1831","par_idx":573,"date":1831,"orig":"Es verbinden ſich naͤmlich 3,39 Gewichtstheile Eiſen mit 1 Gewichtstheil Sauerſtoff zu Eiſen-Oxydul und mit 1½ Gewichtstheilen Sauerſtoff zu Eiſen- Oxyd; es verbinden ſich 3,96 Gewichtstheile Kupfer mit ½ Gewichtstheil Sauerſtoff zu Kupfer-Oxydul, mit 1 Theil Sauerſtoff zu Kupfer-Oxyd.","norm":"Es verbinden sich nämlich 3,39 Gewichtsteile Eisen mit 1 Gewichtsteil Sauerstoff zu Eisenoxydul und mit 11 / 2 Gewichtsteilen Sauerstoff zu Eisen-Oxyd; es verbinden sich 3,96 Gewichtsteile Kupfer mit ½ Gewichtsteil Sauerstoff zu Kupfer-Oxydul, mit 1 Teil Sauerstoff zu Kupferoxyd.","orig_tok":["Es","verbinden","ſich","naͤmlich","3,39","Gewichtstheile","Eiſen","mit","1","Gewichtstheil","Sauerſtoff","zu","Eiſen-Oxydul","und","mit","1½","Gewichtstheilen","Sauerſtoff","zu","Eiſen-","Oxyd",";","es","verbinden","ſich","3,96","Gewichtstheile","Kupfer","mit","½","Gewichtstheil","Sauerſtoff","zu","Kupfer-Oxydul",",","mit","1","Theil","Sauerſtoff","zu","Kupfer-Oxyd","."],"norm_tok":["Es","verbinden","sich","nämlich","3,39","Gewichtsteile","Eisen","mit","1","Gewichtsteil","Sauerstoff","zu","Eisenoxydul","und","mit","11","/","2","Gewichtsteilen","Sauerstoff","zu","Eisen-Oxyd",";","es","verbinden","sich","3,96","Gewichtsteile","Kupfer","mit","½","Gewichtsteil","Sauerstoff","zu","Kupfer-Oxydul",",","mit","1","Teil","Sauerstoff","zu","Kupferoxyd","."],"orig_spans":[[0,2],[3,12],[13,17],[18,26],[27,31],[32,46],[47,52],[53,56],[57,58],[59,72],[73,83],[84,86],[87,99],[100,103],[104,107],[108,110],[111,126],[127,137],[138,140],[141,147],[148,152],[152,153],[154,156],[157,166],[167,171],[172,176],[177,191],[192,198],[199,202],[203,204],[205,218],[219,229],[230,232],[233,246],[246,247],[248,251],[252,253],[254,259],[260,270],[271,273],[274,285],[285,286]],"norm_spans":[[0,2],[3,12],[13,17],[18,25],[26,30],[31,44],[45,50],[51,54],[55,56],[57,69],[70,80],[81,83],[84,95],[96,99],[100,103],[104,106],[107,108],[109,110],[111,125],[126,136],[137,139],[140,150],[150,151],[152,154],[155,164],[165,169],[170,174],[175,188],[189,195],[196,199],[200,201],[202,214],[215,225],[226,228],[229,242],[242,243],[244,247],[248,249],[250,254],[255,265],[266,268],[269,279],[279,280]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[null,16],[null,17],[16,18],[17,19],[18,20],[19,21],[20,21],[21,22],[22,23],[23,24],[24,25],[25,26],[26,27],[27,28],[28,29],[29,30],[30,31],[31,32],[32,33],[33,34],[34,35],[35,36],[36,37],[37,38],[38,39],[39,40],[40,41],[41,42]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.360599994659424} +{"basename":"brandes_naturlehre02_1831","par_idx":574,"date":1831,"orig":"Und eben dieſe Zahlen finden ſich nun auch bei den Verbindungen dieſer Metalle mit Schwefel, dieſer Metalle mit Schwefelſaͤure u. ſ. w., wieder.","norm":"Und eben diese Zahlen finden sich nun auch bei den Verbindungen dieser Metalle mit Schwefel, dieser Metalle mit Schwefelsäure u. s. w., wieder.","orig_tok":["Und","eben","dieſe","Zahlen","finden","ſich","nun","auch","bei","den","Verbindungen","dieſer","Metalle","mit","Schwefel",",","dieſer","Metalle","mit","Schwefelſaͤure","u.","ſ.","w.",",","wieder","."],"norm_tok":["Und","eben","diese","Zahlen","finden","sich","nun","auch","bei","den","Verbindungen","dieser","Metalle","mit","Schwefel",",","dieser","Metalle","mit","Schwefelsäure","u.","s.","w.",",","wieder","."],"orig_spans":[[0,3],[4,8],[9,14],[15,21],[22,28],[29,33],[34,37],[38,42],[43,46],[47,50],[51,63],[64,70],[71,78],[79,82],[83,91],[91,92],[93,99],[100,107],[108,111],[112,126],[127,129],[130,132],[133,135],[135,136],[137,143],[143,144]],"norm_spans":[[0,3],[4,8],[9,14],[15,21],[22,28],[29,33],[34,37],[38,42],[43,46],[47,50],[51,63],[64,70],[71,78],[79,82],[83,91],[91,92],[93,99],[100,107],[108,111],[112,125],[126,128],[129,131],[132,134],[134,135],[136,142],[142,143]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.1691999435424805} +{"basename":"brandes_naturlehre02_1831","par_idx":575,"date":1831,"orig":"Das Eiſen bildet naͤmlich drei Verbindungen mit Schwefel und zwar ſo, daß 3,39 Gewichtstheile Eiſen mit 2,01 Gewichtstheilen Schwefel die erſte, 3,39 Gewichtstheile Eiſen mit 1½. 2,01 (oder mit 3,015) Gewichtstheilen Schwefel die zweite, endlich 3,39 Gewichtstheile Eiſen mit zweimal 2,01 oder 4,02 Gewichtstheilen Schwefel die dritte bilden.","norm":"Das Eisen bildet nämlich drei Verbindungen mit Schwefel und zwar so, dass 3,39 Gewichtsteile Eisen mit 2,01 Gewichtsteilen Schwefel die erste, 3,39 Gewichtsteile Eisen mit 11/2. 2,01 (oder mit 3,015) Gewichtsteilen Schwefel die zweite, endlich 3,39 Gewichtsteile Eisen mit zweimal 2,01 oder 4,02 Gewichtsteilen Schwefel die dritte 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+{"basename":"brandes_naturlehre02_1831","par_idx":576,"date":1831,"orig":"Und ebenſo iſt im Schwefelkupfer ein Gewichts-Antheil von zweimal 3,96 Kupfer zu 2,01 Gewichtstheilen Schwefel.","norm":"Und ebenso ist im Schwefelkupfer ein Gewichts-Anteil von zweimal 3,96 Kupfer zu 2,01 Gewichtsteilen 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Verbindungen auf eine Vereinigung beſtimmter Atome dieſer Subſtanzen mit einander hindeuten.","norm":"An diese Erfahrungen knüpft sich wohl sehr natürlich der Gedanke, dass diese Verbindungen auf eine Vereinigung bestimmter Atome dieser Substanzen miteinander 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+{"basename":"brandes_naturlehre02_1831","par_idx":578,"date":1831,"orig":"Nimmt man an, daß 1 Atom Sauerſtoff ſich mit 2 Atomen Waſſerſtoff zu Waſſer verbindet, ſo folgt man genau dem, was die Verhaͤltniſſe der Raͤume angeben, und ebenſo darf man annehmen, daß 1 Atom Chlor mit 1 Atom Waſſerſtoff verbunden, die Salzſaͤure, Hydrochlorſaͤure, giebt.","norm":"Nimmt man an, dass 1 Atom Sauerstoff sich mit 2 Atomen Wasserstoff zu Wasser verbindet, so folgt man genau dem, was die Verhältnisse der Räume angeben, und ebenso darf man annehmen, dass 1 Atom Chlor mit 1 Atom Wasserstoff verbunden, die Salzsäure, Hydrochlorsäure, 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+{"basename":"brandes_naturlehre02_1831","par_idx":579,"date":1831,"orig":"Hieraus ergiebt ſich dann das, was man Atomengewichte nennt, von ſelbſt.","norm":"Hieraus ergibt sich dann das, was man Atomengewichte nennt, von selbst.","orig_tok":["Hieraus","ergiebt","ſich","dann","das",",","was","man","Atomengewichte","nennt",",","von","ſelbſt","."],"norm_tok":["Hieraus","ergibt","sich","dann","das",",","was","man","Atomengewichte","nennt",",","von","selbst","."],"orig_spans":[[0,7],[8,15],[16,20],[21,25],[26,29],[29,30],[31,34],[35,38],[39,53],[54,59],[59,60],[61,64],[65,71],[71,72]],"norm_spans":[[0,7],[8,14],[15,19],[20,24],[25,28],[28,29],[30,33],[34,37],[38,52],[53,58],[58,59],[60,63],[64,70],[70,71]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.797699928283691} +{"basename":"brandes_naturlehre02_1831","par_idx":580,"date":1831,"orig":"Die Abwaͤgung zeigt, daß 88,9 Gewichtstheile Sauerſtoff mit 11,1 Gewichtstheilen Waſſerſtoff Waſſer bilden; da wir in dem letztern Gewichte, wegen des doppelten Volumens doppelt ſo viel Atome als im erſtern annehmen, ſo iſt 88,9 zu 5,55, oder 100 zu 6,24, das Verhaͤltniß der Atomengewichte beider Koͤrper, und wenn wir 100 als das Atomengewicht des Sauerſtoffs annehmen, ſo iſt das des Waſſerſtoffs 6,24, das des Waſſers = 112,5, (naͤmlich 100 und zweimal 6,24.)","norm":"Die Abwägung zeigt, dass 88,9 Gewichtsteile Sauerstoff mit 11,1 Gewichtsteilen Wasserstoff Wasser bilden; da wir in dem letzteren Gewichte, wegen des doppelten Volumens doppelt so viel Atome als im ersteren Annehmen, so ist 88,9 zu 5,55, oder 100 zu 6,24, das Verhältnis der Atomengewichte beider Körper, und wenn wir 100 als das Atomengewicht des Sauerstoffs annehmen, so ist das des Wasserstoffs 6,24, das des Wassers = 112,5, (nämlich 100 und zweimal 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+{"basename":"brandes_naturlehre02_1831","par_idx":582,"date":1831,"orig":"Wenn das Atomengewicht des Schwefels = 201 geſetzt wird, ſo gehen die vier Verbindungen mit dem Sauerſtoff hervor, wenn ſich 2 Atome Schwefel mit 2 Atomen oder mit 4 Atomen oder mit 5 Atomen oder mit 6 Atomen Sauerſtoff verbinden .","norm":"Wenn das Atomengewicht des Schwefels = 201 gesetzt wird, so gehen die vier Verbindungen mit dem Sauerstoff hervor, wenn sich 2 Atome Schwefel mit 2 Atomen oder mit 4 Atomen oder mit 5 Atomen oder mit 6 Atomen Sauerstoff 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+{"basename":"brandes_naturlehre02_1831","par_idx":618,"date":1831,"orig":"Iſt der leuchtende Koͤrper ſo klein, daß wir ihn einen leuchtenden Punct nennen koͤnnen, ſo geben alle von dieſem Puncte ausgehenden und zugleich den dunkeln Koͤrper beruͤhrenden graden Linien die Grenze des Schattens an; fuͤr einen groͤßeren leuchtenden Koͤrper dagegen muß man ſich eine Ebne an den leuchtenden und den dunkeln Koͤrper beruͤhrend gelegt, und an beiden ſo, daß ſie alle Lichtſtrahlen ausſchließt, immer beide beruͤhrend, fortgefuͤhrt denken, wenn man die Schattengrenze erhalten will.","norm":"Ist der leuchtende Körper so klein, dass wir ihn einen leuchtenden Punkt nennen können, so geben alle von diesem Punkte ausgehenden und zugleich den dunklen Körper berührenden geraden Linien die Grenze des Schattens an; für einen größeren leuchtenden Körper dagegen muss man sich eine Ebene an den leuchtenden und den dunklen Körper berührend gelegt, und an beiden so, dass sie alle Lichtstrahlen ausschließt, 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+{"basename":"brandes_naturlehre02_1831","par_idx":620,"date":1831,"orig":"Iſt naͤmlich AB ein leuchtender Koͤrper (Fig. 19.), CD undurchſichtig, ſo gelangt in den Raum CDE gar kein Licht; in dem Puncte F erhaͤlt man zwar von dem Theile BG des Koͤrpers Licht, aber da noch ein Theil AG verdeckt iſt, ſo kann die Erleuchtung in F noch nicht ſo vollkommen ſein, als ſie ohne das Zwiſchentreten des dunkeln Koͤrpers waͤre, F liegt alſo im Halbſchatten; dagegen empfangen Puncte, die von H gegen I zu liegen, Licht von allen Puncten des leuchtenden Koͤrpers, ſie liegen im vollen Lichte und die Linie DH begrenzt alſo den Halbſchatten, ſo wie DE den vollen Schatten begrenzt.","norm":"Ist nämlich AB ein leuchtender Körper (Fig. 19.), CD undurchsichtig, so gelangt in den Raum CDE gar kein Licht; in dem Punkte F erhält man zwar von dem Teile BG des Körpers Licht, aber da noch ein Teil AG verdeckt ist, so kann die Erleuchtung in F noch nicht so vollkommen sein, als sie ohne das Zwischentreten des dunklen Körpers wäre, F liegt also im Halbschatten; dagegen empfangen Punkte, die von H gegen I zu liegen, Licht von allen Punkten des leuchtenden Körpers, sie liegen im vollen Lichte und die Linie DH begrenzt also den Halbschatten, so wie DE den vollen Schatten 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+{"basename":"brandes_naturlehre02_1831","par_idx":662,"date":1831,"orig":"Es iſt bekannt, daß wir einen ſchwarzen Kreis auf rein weißem Grunde in viel groͤßerer Entfernung erkennen, als wenn er auf grauem oder dunkelm Grunde aufgetragen waͤre, und in Beziehung auf dieſe Ueberzeugung werden wir nicht ſo leicht den auf weißem Grunde aufgetragenen Kreis fuͤr groͤßer halten, weil wir ſchon die Ruͤckſicht hierauf in unſer Urtheil mit hinein bringen; aber wenn wir in einem weit entfernten weißen Gebaͤude jetzt die Fenſter und andere durch Farbe oder Schatten unterſchiedene Theile deutlich ſehen, ſtatt daß ſie uns zu anderer Zeit unkenntlich ſind, ſo ſind wir geneigt, die jetzt kenntlichen Theile als groͤßer erſcheinend anzuſehen, obgleich ſie nur wegen einer hellern Beleuchtung ſich kenntlicher gegen das helle Weiß abſtechend zeigen.","norm":"Es ist bekannt, dass wir einen schwarzen Kreis auf rein weißem Grunde in viel größerer Entfernung erkennen, als wenn er auf grauem oder dunklem Grunde 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+{"basename":"brandes_naturlehre02_1831","par_idx":677,"date":1831,"orig":"Dieſes Sonnenbild iſt rund, ſelbſt wenn die Oeffnung, vorausgeſetzt, daß ſie klein genug bleibt, nicht rund iſt, weil die von den verſchiedenen Puncten des Sonnenrandes einfallenden Strahlen jenen Kegel beſtimmen.","norm":"Dieses Sonnenbild ist rund, selbst wenn die Öffnung, vorausgesetzt, dass sie klein genug bleibt, nicht rund ist, weil die von den verschiedenen Punkten des Sonnenrandes einfallenden Strahlen jenen Kegel 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+{"basename":"brandes_naturlehre02_1831","par_idx":678,"date":1831,"orig":"Dieſem Umſtande iſt es zuzuſchreiben, daß da, wo die Sonne durch das Laub von Baͤumen ſcheint, ſich allemal runde erhellte Flecke zeigen, und nur da die Form der Oeffnungen zwiſchen den Blaͤttern kenntlich wird, wo dieſe Oeffnungen ſchon eine erhebliche Groͤße erlangen.","norm":"Diesem Umstande ist es zuzuschreiben, dass da, wo die Sonne durch das Laub von Bäumen scheint, sich allemal runde erhellte Fleck zeigen, und nur da die Form der Öffnungen zwischen den Blättern kenntlich wird, wo diese Öffnungen schon eine erhebliche Größe 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+{"basename":"brandes_naturlehre02_1831","par_idx":688,"date":1831,"orig":"Solche Signale ſind die Verfinſterungen der Jupitersmonde.","norm":"Solche Signale sind die Verfinsterungen der Jupitersmonde.","orig_tok":["Solche","Signale","ſind","die","Verfinſterungen","der","Jupitersmonde","."],"norm_tok":["Solche","Signale","sind","die","Verfinsterungen","der","Jupitersmonde","."],"orig_spans":[[0,6],[7,14],[15,19],[20,23],[24,39],[40,43],[44,57],[57,58]],"norm_spans":[[0,6],[7,14],[15,19],[20,23],[24,39],[40,43],[44,57],[57,58]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.989500045776367} +{"basename":"brandes_naturlehre02_1831","par_idx":689,"date":1831,"orig":"Die aſtronomiſche Berechnung laͤßt ſich fuͤr ſie ſo ſtrenge fuͤhren, daß wir den wirklichen Augenblick, wo ſie eintreten muͤſſen, und die Zwiſchenzeiten von einer Verfinſterung bis zur andern, als vollkommen genau bekannt anſehen koͤnnen; aber dieſe Zwiſchenzeiten geben uns nun eben Gelegenheit, die allmaͤhlige Fortpflanzung des Lichtes wahrzunehmen.","norm":"Die astronomische Berechnung lässt sich für sie so strenge führen, dass wir den wirklichen Augenblick, wo sie eintreten müssen, und die Zwischenzeiten von einer Verfinsterung bis zur anderen, als vollkommen genau bekannt ansehen können; aber diese Zwischenzeiten geben uns nun eben Gelegenheit, die allmähliche Fortpflanzung des Lichtes 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+{"basename":"brandes_naturlehre02_1831","par_idx":693,"date":1831,"orig":"Zwiſchen zwei naͤchſten Verfinſterungen des erſten Mondes vergehen 42 Stunden und 28 bis 29 Minuten, und in dieſer Zeit vergroͤßert ſich die Entfernung der Erde vom Jupiter ungefaͤhr um 630000 Meilen; gebrauchte alſo der letzte, vor der Verfinſterung von dem Monde ausgehende Lichtſtrahl eine gewiſſe Zeit, um nach F zu gelangen, ſo braucht er bei der folgenden Verfinſterung etwas mehr Zeit, um nach G zu gelangen, und die Zwiſchenzeit des Anfanges der Finſterniſſe iſt daher groͤßer.","norm":"Zwischen zwei nächsten Verfinsterungen des ersten Mondes vergehen 42 Stunden und 28 bis 29 Minuten, und in dieser Zeit vergrößert sich die Entfernung der Erde vom Jupiter ungefähr um 630000 Meilen; gebrauchte also der letzte, vor der Verfinsterung von dem Monde ausgehende Lichtstrahl eine gewisse Zeit, um nach F zu gelangen, so braucht er bei der folgenden Verfinsterung etwas mehr Zeit, um nach G zu gelangen, und die Zwischenzeit des Anfanges der Finsternisse ist daher größer.","orig_tok":["Zwiſchen","zwei","naͤchſten","Verfinſterungen","des","erſten","Mondes","vergehen","42","Stunden","und","28","bis","29","Minuten",",","und","in","dieſer","Zeit","vergroͤßert","ſich","die","Entfernung","der","Erde","vom","Jupiter","ungefaͤhr","um","630000","Meilen",";","gebrauchte","alſo","der","letzte",",","vor","der","Verfinſterung","von","dem","Monde","ausgehende","Lichtſtrahl","eine","gewiſſe","Zeit",",","um","nach","F","zu","gelangen",",","ſo","braucht","er","bei","der","folgenden","Verfinſterung","etwas","mehr","Zeit",",","um","nach","G","zu","gelangen",",","und","die","Zwiſchenzeit","des","Anfanges","der","Finſterniſſe","iſt","daher","groͤßer","."],"norm_tok":["Zwischen","zwei","nächsten","Verfinsterungen","des","ersten","Mondes","vergehen","42","Stunden","und","28","bis","29","Minuten",",","und","in","dieser","Zeit","vergrößert","sich","die","Entfernung","der","Erde","vom","Jupiter","ungefähr","um","630000","Meilen",";","gebrauchte","also","der","letzte",",","vor","der","Verfinsterung","von","dem","Monde","ausgehende","Lichtstrahl","eine","gewisse","Zeit",",","um","nach","F","zu","gelangen",",","so","braucht","er","bei","der","folgenden","Verfinsterung","etwas","mehr","Zeit",",","um","nach","G","zu","gelangen",",","und","die","Zwischenzeit","des","Anfanges","der","Finsternisse","ist","daher","größer","."],"orig_spans":[[0,8],[9,13],[14,23],[24,39],[40,43],[44,50],[51,57],[58,66],[67,69],[70,77],[78,81],[82,84],[85,88],[89,91],[92,99],[99,100],[101,104],[105,107],[108,114],[115,119],[120,131],[132,136],[137,140],[141,151],[152,155],[156,160],[161,164],[165,172],[173,182],[183,185],[186,192],[193,199],[199,200],[201,211],[212,216],[217,220],[221,227],[227,228],[229,232],[233,236],[237,250],[251,254],[255,258],[259,264],[265,275],[276,287],[288,292],[293,300],[301,305],[305,306],[307,309],[310,314],[315,316],[317,319],[320,328],[328,329],[330,332],[333,340],[341,343],[344,347],[348,351],[352,361],[362,375],[376,381],[382,386],[387,391],[391,392],[393,395],[396,400],[401,402],[403,405],[406,414],[414,415],[416,419],[420,423],[424,436],[437,440],[441,449],[450,453],[454,466],[467,470],[471,476],[477,484],[484,485]],"norm_spans":[[0,8],[9,13],[14,22],[23,38],[39,42],[43,49],[50,56],[57,65],[66,68],[69,76],[77,80],[81,83],[84,87],[88,90],[91,98],[98,99],[100,103],[104,106],[107,113],[114,118],[119,129],[130,134],[135,138],[139,149],[150,153],[154,158],[159,162],[163,170],[171,179],[180,182],[183,189],[190,196],[196,197],[198,208],[209,213],[214,217],[218,224],[224,225],[226,229],[230,233],[234,247],[248,251],[252,255],[256,261],[262,272],[273,284],[285,289],[290,297],[298,302],[302,303],[304,306],[307,311],[312,313],[314,316],[317,325],[325,326],[327,329],[330,337],[338,340],[341,344],[345,348],[349,358],[359,372],[373,378],[379,383],[384,388],[388,389],[390,392],[393,397],[398,399],[400,402],[403,411],[411,412],[413,416],[417,420],[421,433],[434,437],[438,446],[447,450],[451,463],[464,467],[468,473],[474,480],[480,481]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.597599983215332} +{"basename":"brandes_naturlehre02_1831","par_idx":694,"date":1831,"orig":"Dieſe Vergroͤßerung der Zwiſchenzeit betraͤgt ungefaͤhr 15 Secunden, und ſo viel Zeit verwendet alſo das Licht, um 630000 Meilen zu durchlaufen.","norm":"Diese Vergrößerung der Zwischenzeit beträgt ungefähr 15 Sekunden, und so viel Zeit verwendet also das Licht, um 630000 Meilen zu durchlaufen.","orig_tok":["Dieſe","Vergroͤßerung","der","Zwiſchenzeit","betraͤgt","ungefaͤhr","15","Secunden",",","und","ſo","viel","Zeit","verwendet","alſo","das","Licht",",","um","630000","Meilen","zu","durchlaufen","."],"norm_tok":["Diese","Vergrößerung","der","Zwischenzeit","beträgt","ungefähr","15","Sekunden",",","und","so","viel","Zeit","verwendet","also","das","Licht",",","um","630000","Meilen","zu","durchlaufen","."],"orig_spans":[[0,5],[6,19],[20,23],[24,36],[37,45],[46,55],[56,58],[59,67],[67,68],[69,72],[73,75],[76,80],[81,85],[86,95],[96,100],[101,104],[105,110],[110,111],[112,114],[115,121],[122,128],[129,131],[132,143],[143,144]],"norm_spans":[[0,5],[6,18],[19,22],[23,35],[36,43],[44,52],[53,55],[56,64],[64,65],[66,69],[70,72],[73,77],[78,82],[83,92],[93,97],[98,101],[102,107],[107,108],[109,111],[112,118],[119,125],[126,128],[129,140],[140,141]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.907800197601318} +{"basename":"brandes_naturlehre02_1831","par_idx":695,"date":1831,"orig":"Die entgegengeſetzte Beobachtung findet ſtatt, wenn die Erde ſich in der Gegend HK ihrer Bahn dem unterdeß langſam fortruͤckenden Jupiter naͤhert; hier ſehen wir jede folgende Verfinſterung etwas eher eintreten, und der Zeit-Unterſchied iſt eben ſo der unterdeß erfolgten Annaͤherung der Erde zum Jupiter angemeſſen, wie im andern Falle der groͤßer werdenden Entfernung.","norm":"Die entgegengesetzte Beobachtung findet statt, wenn die Erde sich in der Gegend HK ihrer Bahn dem unterdes langsam fortrückenden Jupiter nähert; hier sehen wir jede folgende Verfinsterung etwas eher eintreten, und der Zeit-Unterschied ist eben so der unterdes erfolgten Annäherung der Erde zum Jupiter angemessen, wie im anderen Falle der größer werdenden Entfernung.","orig_tok":["Die","entgegengeſetzte","Beobachtung","findet","ſtatt",",","wenn","die","Erde","ſich","in","der","Gegend","HK","ihrer","Bahn","dem","unterdeß","langſam","fortruͤckenden","Jupiter","naͤhert",";","hier","ſehen","wir","jede","folgende","Verfinſterung","etwas","eher","eintreten",",","und","der","Zeit-Unterſchied","iſt","eben","ſo","der","unterdeß","erfolgten","Annaͤherung","der","Erde","zum","Jupiter","angemeſſen",",","wie","im","andern","Falle","der","groͤßer","werdenden","Entfernung","."],"norm_tok":["Die","entgegengesetzte","Beobachtung","findet","statt",",","wenn","die","Erde","sich","in","der","Gegend","HK","ihrer","Bahn","dem","unterdes","langsam","fortrückenden","Jupiter","nähert",";","hier","sehen","wir","jede","folgende","Verfinsterung","etwas","eher","eintreten",",","und","der","Zeit-Unterschied","ist","eben","so","der","unterdes","erfolgten","Annäherung","der","Erde","zum","Jupiter","angemessen",",","wie","im","anderen","Falle","der","größer","werdenden","Entfernung","."],"orig_spans":[[0,3],[4,20],[21,32],[33,39],[40,45],[45,46],[47,51],[52,55],[56,60],[61,65],[66,68],[69,72],[73,79],[80,82],[83,88],[89,93],[94,97],[98,106],[107,114],[115,129],[130,137],[138,145],[145,146],[147,151],[152,157],[158,161],[162,166],[167,175],[176,189],[190,195],[196,200],[201,210],[210,211],[212,215],[216,219],[220,236],[237,240],[241,245],[246,248],[249,252],[253,261],[262,271],[272,283],[284,287],[288,292],[293,296],[297,304],[305,315],[315,316],[317,320],[321,323],[324,330],[331,336],[337,340],[341,348],[349,358],[359,369],[369,370]],"norm_spans":[[0,3],[4,20],[21,32],[33,39],[40,45],[45,46],[47,51],[52,55],[56,60],[61,65],[66,68],[69,72],[73,79],[80,82],[83,88],[89,93],[94,97],[98,106],[107,114],[115,128],[129,136],[137,143],[143,144],[145,149],[150,155],[156,159],[160,164],[165,173],[174,187],[188,193],[194,198],[199,208],[208,209],[210,213],[214,217],[218,234],[235,238],[239,243],[244,246],[247,250],[251,259],[260,269],[270,280],[281,284],[285,289],[290,293],[294,301],[302,312],[312,313],[314,317],[318,320],[321,328],[329,334],[335,338],[339,345],[346,355],[356,366],[366,367]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.845799922943115} +{"basename":"brandes_naturlehre02_1831","par_idx":696,"date":1831,"orig":"Und indem wir ſo zu der Kenntniß gelangt ſind, daß das Licht ungefaͤhr 40000 Meilen in einer Secunde durchlaͤuft, ergiebt nun jede Beobachtung eine Pruͤfung und eine Beſtaͤtigung dieſer Angabe.","norm":"Und indem wir so zu der Kenntnis gelangt sind, dass das Licht ungefähr 40000 Meilen in einer Sekunde durchläuft, ergibt nun jede Beobachtung eine Prüfung und eine Bestätigung dieser Angabe.","orig_tok":["Und","indem","wir","ſo","zu","der","Kenntniß","gelangt","ſind",",","daß","das","Licht","ungefaͤhr","40000","Meilen","in","einer","Secunde","durchlaͤuft",",","ergiebt","nun","jede","Beobachtung","eine","Pruͤfung","und","eine","Beſtaͤtigung","dieſer","Angabe","."],"norm_tok":["Und","indem","wir","so","zu","der","Kenntnis","gelangt","sind",",","dass","das","Licht","ungefähr","40000","Meilen","in","einer","Sekunde","durchläuft",",","ergibt","nun","jede","Beobachtung","eine","Prüfung","und","eine","Bestätigung","dieser","Angabe","."],"orig_spans":[[0,3],[4,9],[10,13],[14,16],[17,19],[20,23],[24,32],[33,40],[41,45],[45,46],[47,50],[51,54],[55,60],[61,70],[71,76],[77,83],[84,86],[87,92],[93,100],[101,112],[112,113],[114,121],[122,125],[126,130],[131,142],[143,147],[148,156],[157,160],[161,165],[166,178],[179,185],[186,192],[192,193]],"norm_spans":[[0,3],[4,9],[10,13],[14,16],[17,19],[20,23],[24,32],[33,40],[41,45],[45,46],[47,51],[52,55],[56,61],[62,70],[71,76],[77,83],[84,86],[87,92],[93,100],[101,111],[111,112],[113,119],[120,123],[124,128],[129,140],[141,145],[146,153],[154,157],[158,162],[163,174],[175,181],[182,188],[188,189]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.518099784851074} +{"basename":"brandes_naturlehre02_1831","par_idx":697,"date":1831,"orig":"Wir wiſſen naͤmlich nun, daß wir in E den Eintritt in den Schatten oder den Austritt aus dem Schatten auch nicht dann ſehen, wenn er ſtatt findet, ſondern ungefaͤhr 35 Minuten ſpaͤter; wir berechnen dieſe Verzoͤgerung fuͤr die in F, G, L, beobachteten Austritte aus dem Schatten und fuͤr die in M, H, K, beobachteten Eintritte in den Schatten nach dem Maaße der jedesmaligen Entfernung, und die Beobachtung zeigt, daß dieſe berechnete Zeit, wobei auf die Fortpflanzung des Lichtes Ruͤckſicht genommen iſt, wirklich die iſt, die der Wahrheit gemaͤß iſt.","norm":"Wir wissen nämlich nun, dass wir in E den Eintritt in den Schatten oder den Austritt aus dem Schatten auch nicht dann sehen, wenn er stattfindet, sondern ungefähr 35 Minuten später; wir berechnen diese Verzögerung für die in F, G, L, beobachteten Austritte aus dem Schatten und für die in M, H, K, beobachteten Eintritte in den Schatten nach dem Maße der jedesmaligen Entfernung, und die Beobachtung zeigt, dass diese berechnete Zeit, wobei auf die Fortpflanzung des Lichtes Rücksicht genommen ist, wirklich die ist, die der Wahrheit gemäß 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+{"basename":"brandes_naturlehre02_1831","par_idx":698,"date":1831,"orig":"Der Himmel bietet uns noch eine Erſcheinung dar, welche uns uͤber die zwar ſehr ſchnelle, aber doch allmaͤhlige Fortpflanzung des Lichtes belehrt, naͤmlich die Aberration des Lichtes der Fixſterne; aber da die Erklaͤrung, woher dieſe entſteht, mehr in die Aſtronomie gehoͤrt, ſo will ich mich hier begnuͤgen, bloß zu bemerken, daß auch dieſe Erſcheinung auf eine eben ſo große Geſchwindigkeit des Lichtes fuͤhrt, und daß wir 41700 Meilen als den Weg des Lichtes in 1 Sec. angeben koͤnnen .","norm":"Der Himmel bietet uns noch eine Erscheinung dar, welche uns über die zwar sehr schnelle, aber doch allmähliche Fortpflanzung des Lichtes belehrt, nämlich die Aberration des Lichtes der Fixsterne; aber da die Erklärung, woher diese entsteht, mehr in die Astronomie gehört, so will ich mich hier begnügen, bloß zu bemerken, dass auch diese Erscheinung auf eine eben so große Geschwindigkeit des Lichtes führt, und dass wir 41700 Meilen als den Weg des Lichtes in 1 Sec . angeben 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+{"basename":"brandes_naturlehre02_1831","par_idx":699,"date":1831,"orig":"Das Licht hat daher 8¼ Min. noͤthig, um von der Sonne zu uns zu kommen, 2⅔ Stunden, um von dem entfernteſten Planeten des Sonnenſyſtems zu uns zu gelangen, und mehr als 6 Jahre, um den Weg von dem naͤchſten Fixſterne bis zu uns zu durchlaufen.","norm":"Das Licht hat daher 81/4 Min. nötig, um von der Sonne zu uns zu kommen, 2 2/3 Stunden, um von dem entferntesten Planeten des Sonnensystems zu uns zu gelangen, und mehr als 6 Jahre, um den Weg von dem nächsten Fixsterne bis zu uns zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":700,"date":1831,"orig":"Dieſe Zahlen geben zugleich den deutlichſten Begriff von der unermeßlichen Groͤße des Weltgebaͤudes, da das Licht ſo ſchnell iſt, daß die Geſchwindigkeit des Schalles nur ungefaͤhr dem 900000ſten Theile derſelben, die Geſchwindigkeit der Erde in ihrer Bahn dem 10200ſten Theile der Geſchwindigkeit des Lichtes gleichkoͤmmt.","norm":"Diese Zahlen geben zugleich den deutlichsten Begriff von der unermesslichen Größe des Weltgebäudes, da das Licht so schnell ist, dass die Geschwindigkeit des Schalles nur ungefähr dem 900000sten Teile derselben, die Geschwindigkeit der Erde in ihrer Bahn dem 10200sten Teile der Geschwindigkeit des Lichtes 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+{"basename":"brandes_naturlehre02_1831","par_idx":701,"date":1831,"orig":"Die Erklaͤrung der Abirrung des Lichtes ſetzt voraus, daß man von der großen Entfernung der Fixſterne und der eben deswegen ganz unmerklichen Parallaxe uͤberzeugt ſei, und ich kann ſie hier um ſo eher uͤbergehen, da ſie in den Vorleſungen uͤber die Aſtronomie, 2. Th. S. 210. vorkoͤmmt.","norm":"Die Erklärung der Abirrung des Lichtes setzt voraus, dass man von der großen Entfernung der Fixsterne und der eben deswegen ganz unmerklichen Parallaxe überzeugt sei, und ich kann sie hier um so eher übergehen, da sie in den Vorlesungen über die Astronomie, 2. Th. 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+{"basename":"brandes_naturlehre02_1831","par_idx":702,"date":1831,"orig":"Abhaͤngigkeit der Erleuchtung von der Entfernung und dem Einfallswinkel.","norm":"Abhängigkeit der Erleuchtung von der Entfernung und dem Einfallswinkel.","orig_tok":["Abhaͤngigkeit","der","Erleuchtung","von","der","Entfernung","und","dem","Einfallswinkel","."],"norm_tok":["Abhängigkeit","der","Erleuchtung","von","der","Entfernung","und","dem","Einfallswinkel","."],"orig_spans":[[0,13],[14,17],[18,29],[30,33],[34,37],[38,48],[49,52],[53,56],[57,71],[71,72]],"norm_spans":[[0,12],[13,16],[17,28],[29,32],[33,36],[37,47],[48,51],[52,55],[56,70],[70,71]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.4860000610351562} +{"basename":"brandes_naturlehre02_1831","par_idx":703,"date":1831,"orig":"— Photometrie.","norm":"— 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+{"basename":"brandes_naturlehre02_1831","par_idx":706,"date":1831,"orig":"Wenn wir die Erleuchtung, welche durch einen leuchtenden Punct hervorgebracht wird, theoretiſch zu vergleichen, ihre in verſchiedenen Faͤllen ſtatt findende Groͤße zu beſtimmen ſuchen wollen, ſo werden wir ſie gewiß als deſto groͤßer annehmen, je mehr Lichtſtrahlen wir auf denſelben Raum auffallend finden; nun iſt aber offenbar, daß (Fig. 24.) die von dem Licht ausſendenden Puncte S erleuchtete Flaͤche ABCD einen viermal ſo großen Raum, als ſie ſelbſt betraͤgt, EFGH, beſchattet, wenn man den Schatten in der doppelt ſo großen Entfernung, SE = 2. SA auffaͤngt, daß in der dreifachen Entfernung SI die beſchattete Flaͤche neunmal ſo groß iſt, u. ſ. w. oder mit andern Worten, dieſelbe Zahl von Lichtſtrahlen, welche ABCD erleuchtet, wird in der doppelten Entfernung eine vierfach ſo große Flaͤche, in der dreifachen Entfernung eine neunmal ſo große Flaͤche erleuchten, wenn man die Lichtſtrahlen ungehindert bis nach EFGH oder IKLM gelangen laͤßt; alſo iſt die Erleuchtung jedes Theiles, jedes einzelnen Punctes der Flaͤche EFGH nur ein Viertel ſo groß in der doppelten Entfernung, nur ⅑ ſo groß in der dreifachen Entfernung, nur [Formel] ſo groß in der vierfachen Entfernung u. ſ. w. Die Erleuchtung nimmt alſo ab, wenn die Entfernung zunimmt, und dies nicht in dem einfachen Verhaͤltniſſe der Entfernungen, ſondern im Verhaͤltniſſe der Quadrate der Entfernungen.","norm":"Wenn wir die Erleuchtung, welche durch einen leuchtenden Punkt hervorgebracht wird, theoretisch zu vergleichen, ihre in verschiedenen Fällen statt findende Größe zu bestimmen suchen wollen, so werden wir sie gewiss als desto größer annehmen, je mehr Lichtstrahlen wir auf denselben Raum auffallend finden; nun ist aber offenbar, dass (Fig. 24.) die von dem Licht aussendenden Punkte S erleuchtete Fläche ABCD einen viermal so großen Raum, als sie selbst beträgt, EFGH, beschattet, wenn man den Schatten in der doppelt so großen Entfernung, SE = 2. SA auffängt, dass in der dreifachen Entfernung SI die beschattete Fläche neunmal so groß ist, u. s. w. oder mit anderen Worten, dieselbe Zahl von Lichtstrahlen, welche ABCD erleuchtet, wird in der doppelten Entfernung eine vierfach so große Fläche, in der dreifachen Entfernung eine neunmal so große Fläche erleuchten, wenn man die Lichtstrahlen ungehindert bis nach EFGH oder IKLM gelangen lässt; also ist die Erleuchtung jedes Teiles, jedes einzelnen Punktes der Fläche EFGH nur ein Viertel so groß in der doppelten Entfernung, nur ⅑ so groß in der dreifachen Entfernung, nur [Formel] so groß in der vierfachen Entfernung u. s. w. Die Erleuchtung nimmt also ab, wenn die Entfernung zunimmt, und dies nicht in dem einfachen Verhältnisse der Entfernungen, sondern im Verhältnisse der Quadrate der 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neben einander aufſtellen, ſo iſt es gewiß, daß die Erleuchtung einer in beſtimmter Entfernung und Lage aufgeſtellten Ebene doppelt ſo groß iſt durch dieſe zwei Lichter, als durch eines, und wir beſitzen alſo ein Mittel, die doppelte, dreifache, vierfache Erleuchtung nach Willkuͤr zu bewirken; koͤnnen wir dieſe ſo hervorgebrachten Erleuchtungen alſo mit einer andern Erleuchtung vergleichen, ſo bietet ſich uns ein Mittel dar, die Wahrheit der theoretiſchen Beſtimmung zu pruͤfen.","norm":"Wenn wir zwei gleich hell brennende Lichter dicht nebeneinander aufstellen, so ist es gewiss, dass die Erleuchtung einer in bestimmter Entfernung und Lage aufgestellten Ebene doppelt so groß ist durch diese zwei Lichter, als durch eines, und wir besitzen also ein Mittel, die doppelte, dreifache, vierfache Erleuchtung nach Willkür zu bewirken; können wir diese so hervorgebrachten Erleuchtungen also mit einer anderen Erleuchtung vergleichen, so bietet sich uns ein Mittel dar, die Wahrheit der theoretischen Bestimmung zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":709,"date":1831,"orig":"Unſer Auge beſitzt nicht die Faͤhigkeit, bei der Betrachtung zweier erleuchteter Flaͤchen zu entſcheiden, ob die eine doppelt oder dreifach ſo ſtark, als die andere, erleuchtet iſt, aber es beſitzt die Faͤhigkeit, Gleichheit oder Ungleichheit der Erleuchtung recht wohl zu erkennen.","norm":"Unser Auge besitzt nicht die Fähigkeit, bei der Betrachtung zweier erleuchteter Flächen zu entscheiden, ob die eine doppelt oder dreifach so stark, als die andere, erleuchtet ist, aber es besitzt die Fähigkeit, Gleichheit oder Ungleichheit der Erleuchtung recht wohl zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":710,"date":1831,"orig":"Um daher jene Beſtimmung zu pruͤfen, ſtellt man in AB (Fig. 25.) eine weiße Flaͤche auf, die ihre Erleuchtung von den zwei Lichtern C und von dem einen Lichte D in beinahe ſenkrechter Richtung empfaͤngt; zwiſchen der Ebene AB und jenen Lichtern ſtellt man den undurchſichtigen Koͤrper EF ſo auf, daß ſein Schatten vom Lichte D her in ab, ſein in Beziehung auf die Lichter C entſtandener Schatten in cd, nahe daneben faͤllt.","norm":"Um daher jene Bestimmung zu prüfen, stellt man in AB (Fig. 25.) eine weiße Fläche auf, die ihre Erleuchtung von den zwei Lichtern C und von dem einen Lichte D in beinahe senkrechter Richtung empfängt; zwischen der Ebene AB und jenen Lichtern stellt man den undurchsichtigen Körper EF so auf, dass sein Schatten vom Lichte D her in ab, sein in Beziehung auf die Lichter C entstandener Schatten in cd, nahe daneben 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+{"basename":"brandes_naturlehre02_1831","par_idx":713,"date":1831,"orig":"Der wirkliche Verſuch zeigt, daß die Entfernung DH ſich zu CH wie 5 zu 7 verhalten muß, wenn die Erleuchtung durch ein Licht D eben ſo ſtark, als durch zwei Lichter C ſein ſoll, und da 5 mal 5 = 25, 7 mal 7 = 49, die letztere Zahl faſt genau die doppelte der erſten iſt, ſo giebt das Experiment eine Beſtaͤtigung des oben gefundenen Satzes.","norm":"Der wirkliche Versuch zeigt, dass die Entfernung DH sich zu CH wie 5 zu 7 verhalten muss, wenn die Erleuchtung durch ein Licht D eben so stark, als durch zwei Lichter C sein soll, und da 5 Mal 5 = 25, 7 Mal 7 = 49, die letztere Zahl fast genau die doppelte der ersten ist, so gibt das Experiment eine Bestätigung des oben gefundenen 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+{"basename":"brandes_naturlehre02_1831","par_idx":714,"date":1831,"orig":"Haͤtte man in C vier Lichter vereiniget, ſo muͤßte DH nur halb ſo groß ſein, als CH, weil ein Licht in der halben Entfernung viermal ſo ſtark erleuchtet, als ein Licht in der ganzen Entfernung.","norm":"Hätte man in C vier Lichter vereiniget, so müsste DH nur halb so groß sein, als CH, weil ein Licht in der halben Entfernung viermal so stark erleuchtet, als ein Licht in der ganzen 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+{"basename":"brandes_naturlehre02_1831","par_idx":715,"date":1831,"orig":"Dieſe eine photometriſche Beſtimmung leitet uns zu mehreren.","norm":"Diese eine photometrische Bestimmung leitet uns zu mehreren.","orig_tok":["Dieſe","eine","photometriſche","Beſtimmung","leitet","uns","zu","mehreren","."],"norm_tok":["Diese","eine","photometrische","Bestimmung","leitet","uns","zu","mehreren","."],"orig_spans":[[0,5],[6,10],[11,25],[26,36],[37,43],[44,47],[48,50],[51,59],[59,60]],"norm_spans":[[0,5],[6,10],[11,25],[26,36],[37,43],[44,47],[48,50],[51,59],[59,60]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.951099872589111} +{"basename":"brandes_naturlehre02_1831","par_idx":716,"date":1831,"orig":"Schon eine ſich von ſelbſt darbietende Erfahrung lehrt uns, daß die Erleuchtung ſchwaͤcher wird, wenn wir das Licht unter einem kleinen Winkel auf die erleuchtete Ebene fallen laſſen, und wir fragen daher auch hier nach dem Geſetze der Erleuchtung, ſofern ſie von dem Einfallswinkel der Lichtſtrahlen abhaͤngt.","norm":"Schon eine sich von selbst darbietende Erfahrung lehrt uns, dass die Erleuchtung schwächer wird, wenn wir das Licht unter einem kleinen Winkel auf die erleuchtete Ebene fallen lassen, und wir fragen daher auch hier nach dem Gesetze der Erleuchtung, sofern sie von dem Einfallswinkel der Lichtstrahlen 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+{"basename":"brandes_naturlehre02_1831","par_idx":717,"date":1831,"orig":"Sehen wir auf die Menge der Lichtſtrahlen, ſo erhellt leicht, daß die Ebene AB (Fig. 26.) nur von eben ſo vielen Lichtſtrahlen, als AC, getroffen wird, wenn aA, bB die von dem leuchtenden Puncte herkommenden Lichtſtrahlen ſind; iſt alſo die ſchiefe Flaͤche AB doppelt ſo groß, als AC, ſo iſt AB in jedem Puncte nur halb ſo ſtark erleuchtet, als es AC ſein wuͤrde, wenn AC eine die Strahlen auffangende Ebene waͤre.","norm":"Sehen wir auf die Menge der Lichtstrahlen, so erhellt leicht, dass die Ebene AB (Fig. 26.) nur von ebenso vielen Lichtstrahlen, als AC, getroffen wird, wenn aA, bB die von dem leuchtenden Punkte herkommenden Lichtstrahlen sind; ist also die schiefe Fläche AB doppelt so groß, als AC, so ist AB in jedem Punkte nur halb so stark erleuchtet, als es AC sein würde, wenn AC eine die Strahlen auffangende Ebene 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+{"basename":"brandes_naturlehre02_1831","par_idx":743,"date":1831,"orig":"Alle Umſtaͤnde laſſen ſich dabei freilich nicht wohl beruͤckſichtigen, indem die Waͤnde der benachbarten Haͤuſer, der weiße oder farbige Anſtrich des Zimmers, ſehr erheblich mit einwirken; indeß iſt es doch angenehm, zu uͤberſehen, welche Beſtimmungen ſich uns hier darbieten.","norm":"Alle Umstände lassen sich dabei freilich nicht wohl berücksichtigen, indem die Wände der benachbarten Häuser, der weiße oder farbige Anstrich des Zimmers, sehr erheblich mit einwirken; indes ist es doch angenehm, zu übersehen, welche Bestimmungen sich uns hier 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+{"basename":"brandes_naturlehre02_1831","par_idx":744,"date":1831,"orig":"Zum Schluſſe dieſer Betrachtung will ich noch beifuͤgen, daß eine horizontale Flaͤche durch den ganzen hellen Himmel, wenn deſſen Licht im Freien durch nichts aufgehalten wird, grade halb ſo ſehr erleuchtet wird, als es geſchehen wuͤrde, wenn alle von der Halbkugel des Himmels auffallenden Lichtſtrahlen ſenkrecht auffielen.","norm":"Zum Schlusse dieser Betrachtung will ich noch beifügen, dass eine horizontale Fläche durch den ganzen hellen Himmel, wenn dessen Licht im Freien durch nichts aufgehalten wird, gerade halb so sehr erleuchtet wird, als es geschehen würde, wenn alle von der Halbkugel des Himmels auffallenden Lichtstrahlen senkrecht auffielen.","orig_tok":["Zum","Schluſſe","dieſer","Betrachtung","will","ich","noch","beifuͤgen",",","daß","eine","horizontale","Flaͤche","durch","den","ganzen","hellen","Himmel",",","wenn","deſſen","Licht","im","Freien","durch","nichts","aufgehalten","wird",",","grade","halb","ſo","ſehr","erleuchtet","wird",",","als","es","geſchehen","wuͤrde",",","wenn","alle","von","der","Halbkugel","des","Himmels","auffallenden","Lichtſtrahlen","ſenkrecht","auffielen","."],"norm_tok":["Zum","Schlusse","dieser","Betrachtung","will","ich","noch","beifügen",",","dass","eine","horizontale","Fläche","durch","den","ganzen","hellen","Himmel",",","wenn","dessen","Licht","im","Freien","durch","nichts","aufgehalten","wird",",","gerade","halb","so","sehr","erleuchtet","wird",",","als","es","geschehen","würde",",","wenn","alle","von","der","Halbkugel","des","Himmels","auffallenden","Lichtstrahlen","senkrecht","auffielen","."],"orig_spans":[[0,3],[4,12],[13,19],[20,31],[32,36],[37,40],[41,45],[46,55],[55,56],[57,60],[61,65],[66,77],[78,85],[86,91],[92,95],[96,102],[103,109],[110,116],[116,117],[118,122],[123,129],[130,135],[136,138],[139,145],[146,151],[152,158],[159,170],[171,175],[175,176],[177,182],[183,187],[188,190],[191,195],[196,206],[207,211],[211,212],[213,216],[217,219],[220,229],[230,236],[236,237],[238,242],[243,247],[248,251],[252,255],[256,265],[266,269],[270,277],[278,290],[291,304],[305,314],[315,324],[324,325]],"norm_spans":[[0,3],[4,12],[13,19],[20,31],[32,36],[37,40],[41,45],[46,54],[54,55],[56,60],[61,65],[66,77],[78,84],[85,90],[91,94],[95,101],[102,108],[109,115],[115,116],[117,121],[122,128],[129,134],[135,137],[138,144],[145,150],[151,157],[158,169],[170,174],[174,175],[176,182],[183,187],[188,190],[191,195],[196,206],[207,211],[211,212],[213,216],[217,219],[220,229],[230,235],[235,236],[237,241],[242,246],[247,250],[251,254],[255,264],[265,268],[269,276],[277,289],[290,303],[304,313],[314,323],[323,324]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.2829999923706055} +{"basename":"brandes_naturlehre02_1831","par_idx":745,"date":1831,"orig":"Auch auf aſtronomiſche Gegenſtaͤnde findet eine Anwendung dieſer photometriſchen Regeln ſtatt.","norm":"Auch auf astronomische Gegenstände findet eine Anwendung dieser photometrischen Regeln statt.","orig_tok":["Auch","auf","aſtronomiſche","Gegenſtaͤnde","findet","eine","Anwendung","dieſer","photometriſchen","Regeln","ſtatt","."],"norm_tok":["Auch","auf","astronomische","Gegenstände","findet","eine","Anwendung","dieser","photometrischen","Regeln","statt","."],"orig_spans":[[0,4],[5,8],[9,22],[23,35],[36,42],[43,47],[48,57],[58,64],[65,80],[81,87],[88,93],[93,94]],"norm_spans":[[0,4],[5,8],[9,22],[23,34],[35,41],[42,46],[47,56],[57,63],[64,79],[80,86],[87,92],[92,93]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.082900047302246} +{"basename":"brandes_naturlehre02_1831","par_idx":746,"date":1831,"orig":"Der Planet Jupiter iſt 5 mal ſo weit als die Erde von der Sonne entfernt, alſo wird eine dort den Sonnenſtrahlen ſenkrecht dargebotene Ebne nur [Formel] ſo ſtark erleuchtet, als auf der Erde; auf der Venus hingegen, deren Entfernung von der Sonne nur ¾ der Entfernung der Erde von der Sonne iſt, muß die Erleuchtung beinahe doppelt ſo groß, als auf der Erde, ſein; und obgleich wir, bei unſerer Unkunde uͤber Farbe und ſonſtige Beſchaffenheit der Planeten-Oberflaͤchen, noch keine weitere Vergleichungen auf dieſe Beſtimmung gruͤnden koͤnnen, ſo erklaͤrt ſich doch das glaͤnzende Licht der Venus und des der Sonne noch naͤheren Mercurius aus dieſer Betrachtung.","norm":"Der Planet Jupiter ist 5 Mal so weit als die Erde von der Sonne entfernt, also wird eine dort den Sonnenstrahlen senkrecht dargebotene Ebene nur [Formel] so stark erleuchtet, als auf der Erde; auf der Venus hingegen, deren Entfernung von der Sonne nur ¾ der Entfernung der Erde von der Sonne ist, muss die Erleuchtung beinahe doppelt so groß, als auf der Erde, sein; und obgleich wir, bei unserer Unkunde über Farbe und sonstige Beschaffenheit der Planeten-Oberflächen, noch keine weitere Vergleichungen auf diese Bestimmung gründen können, so erklärt sich doch das glänzende Licht der Venus und des der Sonne noch näheren Mercurius aus dieser 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+{"basename":"brandes_naturlehre02_1831","par_idx":747,"date":1831,"orig":"Wie die Erleuchtung von der Lage der leuchtenden Oberflaͤche abhaͤngt.","norm":"Wie die Erleuchtung von der Lage der leuchtenden Oberfläche abhängt.","orig_tok":["Wie","die","Erleuchtung","von","der","Lage","der","leuchtenden","Oberflaͤche","abhaͤngt","."],"norm_tok":["Wie","die","Erleuchtung","von","der","Lage","der","leuchtenden","Oberfläche","abhängt","."],"orig_spans":[[0,3],[4,7],[8,19],[20,23],[24,27],[28,32],[33,36],[37,48],[49,60],[61,69],[69,70]],"norm_spans":[[0,3],[4,7],[8,19],[20,23],[24,27],[28,32],[33,36],[37,48],[49,59],[60,67],[67,68]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.051000118255615} +{"basename":"brandes_naturlehre02_1831","par_idx":748,"date":1831,"orig":"Wir haben die Erleuchtung bisher nur in Beziehung auf die Entfernung und Lage der erleuchteten Flaͤche unterſucht; aber ſie haͤngt auch von der Lage der leuchtenden Oberflaͤche ab.","norm":"Wir haben die Erleuchtung bisher nur in Beziehung auf die Entfernung und Lage der erleuchteten Fläche untersucht; aber sie hängt auch von der Lage der leuchtenden Oberfläche 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+{"basename":"brandes_naturlehre02_1831","par_idx":759,"date":1831,"orig":"Nach dieſen Ueberlegungen beurtheilen wir den ganzen Eindruck, den das Licht der verſchiedenen Planeten auf unſer Auge machen muͤßte, wenn ſie alle, als ihrer Natur nach gleich, zum Beiſpiel alle gleich weiß, uns ihre Erleuchtung gleich gut zeigten.","norm":"Nach diesen Überlegungen beurteilen wir den ganzen Eindruck, den das Licht der verschiedenen Planeten auf unser Auge machen müsste, wenn sie alle, als ihrer Natur nach gleich, zum Beispiel alle gleich weiß, uns ihre Erleuchtung gleich gut 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+{"basename":"brandes_naturlehre02_1831","par_idx":760,"date":1831,"orig":"Saturn iſt ungefaͤhr 10 mal ſo weit als unſer Mond von der Sonne entfernt, alſo jeder Theil ſeiner Oberflaͤche [Formel] ſo ſtark als die des Mondes erleuchtet; aber da er uns nur 19 Secunden im Durchmeſſer zu haben ſcheint, alſo ſeine Scheibe uns nur ungefaͤhr [Formel] ſo groß als die Mondſcheibe erſcheint, ſo giebt er uns nur ſo viel Erleuchtung, als der zehntauſendſte Theil der Mondſcheibe mit ein Hunderttel des Mondlichtes thun wuͤrde, das heißt nur ein Milliontel der Erleuchtung, welche der Mond uns giebt. —","norm":"Saturn ist ungefähr 10 Mal so weit als unser Mond von der Sonne entfernt, also jeder Teil seiner Oberfläche [Formel] so stark als die des Mondes erleuchtet; aber da er uns nur 19 Sekunden im Durchmesser zu haben scheint, also seine Scheibe uns nur ungefähr [Formel] so groß als die Mondscheibe erscheint, so gibt er uns nur so viel Erleuchtung, als der Zehntausendeste Teil der Mondscheibe mit ein Hunderttele des Mondlichtes tun würde, das heißt nur ein Milliontele der Erleuchtung, welche der Mond uns gibt . 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+{"basename":"brandes_naturlehre02_1831","par_idx":761,"date":1831,"orig":"Daß dieſe Abſchaͤtzungen indeß nur oberflaͤchlich ſein koͤnnen, da wir nicht wiſſen, ob nicht die Oberflaͤche des Saturns ſchneeweiß, die des Mondes grau iſt, verſteht ſich von ſelbſt.","norm":"Dass diese Abschätzungen indes nur oberflächlich sein können, da wir nicht wissen, ob nicht die Oberfläche des Saturns schneeweiß, die des Mondes grau ist, versteht sich von selbst.","orig_tok":["Daß","dieſe","Abſchaͤtzungen","indeß","nur","oberflaͤchlich","ſein","koͤnnen",",","da","wir","nicht","wiſſen",",","ob","nicht","die","Oberflaͤche","des","Saturns","ſchneeweiß",",","die","des","Mondes","grau","iſt",",","verſteht","ſich","von","ſelbſt","."],"norm_tok":["Dass","diese","Abschätzungen","indes","nur","oberflächlich","sein","können",",","da","wir","nicht","wissen",",","ob","nicht","die","Oberfläche","des","Saturns","schneeweiß",",","die","des","Mondes","grau","ist",",","versteht","sich","von","selbst","."],"orig_spans":[[0,3],[4,9],[10,24],[25,30],[31,34],[35,49],[50,54],[55,62],[62,63],[64,66],[67,70],[71,76],[77,83],[83,84],[85,87],[88,93],[94,97],[98,109],[110,113],[114,121],[122,132],[132,133],[134,137],[138,141],[142,148],[149,153],[154,157],[157,158],[159,167],[168,172],[173,176],[177,183],[183,184]],"norm_spans":[[0,4],[5,10],[11,24],[25,30],[31,34],[35,48],[49,53],[54,60],[60,61],[62,64],[65,68],[69,74],[75,81],[81,82],[83,85],[86,91],[92,95],[96,106],[107,110],[111,118],[119,129],[129,130],[131,134],[135,138],[139,145],[146,150],[151,154],[154,155],[156,164],[165,169],[170,173],[174,180],[180,181]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.198899984359741} +{"basename":"brandes_naturlehre02_1831","par_idx":762,"date":1831,"orig":"Ich ſchließe dieſe Bemerkungen, zu denen ſchon die Betrachtung des gradlinigt fortgehenden Lichtes Veranlaſſung gab, um zu den noch mannigfaltigeren Erſcheinungen des zuruͤckgeworfenen Lichtes uͤberzugehen.","norm":"Ich schließe diese Bemerkungen, zu denen schon die Betrachtung des gradlinig fortgehenden Lichtes Veranlassung gab, um zu den noch mannigfaltigeren Erscheinungen des zurückgeworfenen Lichtes 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+{"basename":"brandes_naturlehre02_1831","par_idx":763,"date":1831,"orig":"Fuͤnfte Vorleſung.","norm":"Fünfte Vorlesung.","orig_tok":["Fuͤnfte","Vorleſung","."],"norm_tok":["Fünfte","Vorlesung","."],"orig_spans":[[0,7],[8,17],[17,18]],"norm_spans":[[0,6],[7,16],[16,17]],"alignment":[[0,0],[1,1],[2,2]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.736000061035156} +{"basename":"brandes_naturlehre02_1831","par_idx":764,"date":1831,"orig":"Zuruͤckwerfung des zerſtreuten Lichtes an den Oberflaͤchen der Koͤrper.","norm":"Zurückwerfung des zerstreuten Lichtes an den Oberflächen der Körper.","orig_tok":["Zuruͤckwerfung","des","zerſtreuten","Lichtes","an","den","Oberflaͤchen","der","Koͤrper","."],"norm_tok":["Zurückwerfung","des","zerstreuten","Lichtes","an","den","Oberflächen","der","Körper","."],"orig_spans":[[0,14],[15,18],[19,30],[31,38],[39,41],[42,45],[46,58],[59,62],[63,70],[70,71]],"norm_spans":[[0,13],[14,17],[18,29],[30,37],[38,40],[41,44],[45,56],[57,60],[61,67],[67,68]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"lb","orig_lang_de":0.667,"norm_lmscore":4.743199825286865} +{"basename":"brandes_naturlehre02_1831","par_idx":765,"date":1831,"orig":"Die Erſcheinungen, welche das Licht uns darbietet, m. h. H., ſind uns allen in ſo großer Mannigfaltigkeit bekannt, daß es wohl eben nicht als eine Verletzung der wiſſenſchaftlichen Anordnung des Vortrages erſcheinen wird, wenn ich zuweilen Erſcheinungen erwaͤhne, deren Entſtehung noch nicht genau erklaͤrt iſt.","norm":"Die Erscheinungen, welche das Licht uns darbietet, m. h. 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+{"basename":"brandes_naturlehre02_1831","par_idx":771,"date":1831,"orig":"Wir legen den weißen Flaͤchen und denen, die in das Graue uͤbergehen, einen verſchiedenen Grad der Weiße bei, und verſtehen eben darunter ihre ungleiche Faͤhigkeit, das Licht zuruͤckzuwerfen.","norm":"Wir legen den weißen Flächen und denen, die in das Graue übergehen, einen verschiedenen Grad der Weiße bei, und verstehen eben darunter ihre ungleiche Fähigkeit, das Licht 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+{"basename":"brandes_naturlehre02_1831","par_idx":772,"date":1831,"orig":"Dieſen Grad der Weiße zu beurtheilen, koͤnnte folgendes Experiment, das ſchon hier verſtaͤndlich iſt, dienen.","norm":"Diesen Grad der Weiße zu beurteilen, könnte folgendes Experiment, das schon hier verständlich ist, 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B. friſch gefallenen Schnee, koͤnnten wir auch nach einem ſichern Maaßſtabe das beurtheilen, was uns nicht unmittelbar vor Augen liegt, wenn ein Andrer dieſe Vergleichung angeſtellt hat.","norm":"Auf diesem Wege können wir nicht allein, — worüber unser Auge sogleich entscheidet, — die größere oder mindere Weiße beurteilen, sondern in Vergleichung gegen einen bestimmten Körper, z. 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weißeste Papier nur etwa die Hälfte der Lichtstrahlen zurückwirft, oder nur diejenige Erleuchtung für eine andere Fläche, nur denjenigen Eindruck auf unser Auge hervorbringt, der von der Hälfte des auf die weiße Fläche auffallenden Lichtes unmittelbar hervorgebracht 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+{"basename":"brandes_naturlehre02_1831","par_idx":777,"date":1831,"orig":"Es giebt Zeitpuncte, wo der Mars uns ziemlich eben den geſammten Licht-Eindruck gewaͤhrt, wie Saturn, und da ſich aus der Entfernung beider Planeten von der Sonne und aus ihrer ſcheinbaren Groͤße beſtimmen laͤßt, welcher von beiden am meiſten geſammten Glanz zeigen ſollte, wenn ſie das Licht gleich gut zuruͤckwuͤrfen, ſo ergiebt ſich, welcher von beiden Planeten am meiſten geſchickt iſt, das Licht zuruͤckzuwerfen.","norm":"Es gibt Zeitpunkt, wo der Mars uns ziemlich eben den gesamten Lichteindruck gewährt, wie Saturn, und da sich aus der Entfernung beider Planeten von der Sonne und aus ihrer scheinbaren Größe bestimmen lässt, welcher von beiden am meisten gesamten Glanz zeigen sollte, wenn sie das Licht gleich gut zurückwürfen, so ergibt sich, welcher von beiden Planeten am meisten geschickt ist, das Licht 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+{"basename":"brandes_naturlehre02_1831","par_idx":812,"date":1831,"orig":"Wenn wir in einem undurchſichtigen ſchoͤn polirten Spiegel die Bilder der vor dem Spiegel liegenden Gegenſtaͤnde ſehen, ſo erſcheinen ſie uns gewoͤhnlich ſo lebhaft, daß wir ſie genau ſo, als ob ſie hinter dem Spiegel laͤgen, anerkennen, und voͤllig geneigt ſind, das Bild jedes Gegenſtandes als da erſcheinend, wohin die Theorie es verſetzt, anzunehmen; aber ſchon in einem ſchlecht polirten Metalle, in der Oberflaͤche polirten Holzes oder irgend eines andern Koͤrpers, wo die Oberflaͤche ſelbſt uns durch viele zerſtreut zuruͤckgeworfene Lichtſtrahlen ſichtbar wird, findet jene Taͤuſchung nicht ſo beſtimmt ſtatt, ſondern wir ſind hier eher geneigt, das geſpiegelte Bild naͤher hinter der Oberflaͤche zu ſuchen; und etwas Aehnliches iſt der Fall, wenn wir in einem unbelegten, alſo voͤllig durchſichtigen Glaſe die geſpiegelten Gegenſtaͤnde und zugleich die hinter dem Glaſe liegenden Gegenſtaͤnde ſehen.","norm":"Wenn wir in einem undurchsichtigen schön polierten Spiegel die Bilder der vor dem Spiegel liegenden Gegenstände sehen, so erscheinen sie uns gewöhnlich so lebhaft, dass wir sie genau so, als ob sie hinter dem Spiegel lägen, anerkennen, und völlig geneigt sind, das Bild jedes Gegenstandes als da erscheinend, wohin die Theorie es versetzt, anzunehmen; aber schon in einem schlecht polierten Metalle, in der Oberfläche polierten Holzes oder irgendeines anderen Körpers, wo die Oberfläche selbst uns durch viele zerstreut zurückgeworfene Lichtstrahlen sichtbar wird, findet jene Täuschung nicht so bestimmt statt, sondern wir sind hier eher geneigt, das gespiegelte Bild näher hinter der Oberfläche zu suchen; und etwas Ähnliches ist der Fall, wenn wir in einem unbelegten, also völlig durchsichtigen Glase die gespiegelten Gegenstände und zugleich die hinter dem Glase liegenden Gegenstände 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+{"basename":"brandes_naturlehre02_1831","par_idx":813,"date":1831,"orig":"Die optiſchen Regeln bleiben auch in dieſen Faͤllen dieſelben, aber unſer Urtheil verliert an Sicherheit, weil wir zweierlei Gegenſtaͤnde zugleich ſehen; wir werden dann geneigt, die Holzfaſern im polirten Holze zur Bezeichnung der Stelle, wo der reflectirte Strahl ausgeht, ins Auge zu faſſen, und je feſter wir das Auge in gleicher Stellung feſthalten, deſto vollkommener koͤnnen wir die Taͤuſchung, als erſchiene der geſpiegelte Gegenſtand in dieſer Oberflaͤche ſelbſt, beſtaͤrken; und ungefaͤhr ebenſo iſt es, wenn wir durch das ſpiegelnde Glas auf Gegenſtaͤnde jenſeits des Glaſes ſehen.","norm":"Die optischen Regeln bleiben auch in diesen Fällen dieselben, aber unser Urteil verliert an Sicherheit, weil wir zweierlei Gegenstände zugleich sehen; wir werden dann geneigt, die Holzfasern im polierten Holze zur Bezeichnung der Stelle, wo der reflektierte Strahl ausgeht, ins Auge zu fassen, und je fester wir das Auge in gleicher Stellung festhalten, desto vollkommener können wir die Täuschung, als erschiene der gespiegelte Gegenstand in dieser Oberfläche selbst, bestärken; und ungefähr ebenso ist es, wenn wir durch das spiegelnde Glas auf Gegenstände jenseits des Glases 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+{"basename":"brandes_naturlehre02_1831","par_idx":814,"date":1831,"orig":"Wollen wir uns hier uͤberzeugen, daß die nach optiſchen Regeln beſtimmte Lage des Bildes noch immer richtig beſtimmt iſt, ſo haben wir nur (Fig. 33.) noͤthig, das Auge von O nach o zu verruͤcken, wo der entferntere Gegenſtand A uns viel mehr, als der nahe Gegenſtand B, fortzuruͤcken ſcheint, jener von D nach d, dieſer nur von E nach e. Aehnliche Vergleichungen finden auch ſtatt, wenn man den geſpiegelten Gegenſtand auf einen hinter dem Glaſe liegenden Gegenſtand bezieht.","norm":"Wollen wir uns hier überzeugen, dass die nach optischen Regeln bestimmte Lage des Bildes noch immer richtig bestimmt ist, so haben wir nur (Fig. 33.) nötig, das Auge von O nach o zu verrücken, wo der entferntere Gegenstand A uns viel mehr, als der nahe Gegenstand B, fortzurücken scheint, jener von D nach d, dieser nur von E nach e. Ähnliche Vergleichungen finden auch statt, wenn man den gespiegelten Gegenstand auf einen hinter dem Glase liegenden Gegenstand 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AB, AC nach zwei entfernten Gegenſtaͤnden B, C, zwar auf einem feſtſtehenden Inſtrumente leicht bezeichnen und ſo den Winkel bAc abmeſſen kann; daß dies aber mit der groͤßten Schwierigkeit verbunden iſt, wenn man ſich auf einem ſchwankenden oder ſeine Stelle aͤndernden Schiffe befindet, wenn man am Fenſter eines Thurmes jene Gegenſtaͤnde nur ſehen kann, indem man das Inſtrument außerhalb des Fenſters hinaus haͤlt, und unter aͤhnlichen Umſtaͤnden.","norm":"Jedem, der sich auch nie selbst mit praktisch geometrischen Arbeiten oder mit dem Feldmessen abgegeben hat, ist es einleuchtend, dass man die Richtungslinien (Fig. 36.) AB, AC nach zwei entfernten Gegenständen B, C, zwar auf einem feststehenden Instrumente leicht bezeichnen und so den Winkel bAc abmessen kann; dass dies aber mit der größten Schwierigkeit verbunden ist, wenn man sich auf einem schwankenden oder seine Stelle ändernden Schiffe befindet, wenn man am Fenster eines Turmes jene Gegenstände nur sehen kann, indem man das Instrument außerhalb des Fensters hinaushält, und unter ähnlichen 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+{"basename":"brandes_naturlehre02_1831","par_idx":826,"date":1831,"orig":"Mit Huͤlfe eines gewoͤhnlichen Winkelmeſſers naͤmlich kann man immer nur einen Gegenſtand nach dem andern beobachten; das zuerſt gegen B gerichtete Lineal, deſſen richtige Stellung uns den Punct b auf dem Gradbogen kennen gelehrt hatte, muß nun nach C gewandt werden, damit wir den Bogen bc ableſen koͤnnen, und es bedarf daher eines feſten Standpunctes, damit das Inſtrument in der Zwiſchenzeit unverruͤckt bleibe.","norm":"Mit Hilfe eines gewöhnlichen Winkelmessers nämlich kann man immer nur einen Gegenstand nach dem anderen beobachten; das zuerst gegen B gerichtete Lineal, dessen richtige Stellung uns den Punkt b auf dem Gradbogen kennen gelehrt hatte, muss nun nach C gewandt werden, damit wir den Bogen bc ablesen können, und es bedarf daher eines festen Standpunktes, damit das Instrument in der Zwischenzeit unverrückt 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+{"basename":"brandes_naturlehre02_1831","par_idx":830,"date":1831,"orig":"Nun laͤßt ſich leicht uͤberſehen, daß das durch O beobachtende Auge des ſehr entfernten Gegenſtandes H Bild im Spiegel ſehen muß, wenn LG mit IF parallel und beider Lage ſo iſt, daß die Winkel ONF = INC gleich werden.","norm":"Nun lässt sich leicht übersehen, dass das durch O beobachtende Auge des sehr entfernten Gegenstandes H Bild im Spiegel sehen muss, wenn LG mit IF parallel und beider Lage so ist, dass die Winkel ONF = INC gleich 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+{"basename":"brandes_naturlehre02_1831","par_idx":831,"date":1831,"orig":"Der Gegenſtand H braucht naͤmlich nur einige tauſend Fuß entfernt zu ſein, ſo wird man ſchon die von ihm herkommenden Lichtſtrahlen KC und HNO, als unter ſich parallel anſehen duͤrfen, und da parallele Linien KC, HN, mit parallelen Linien LG, IF, gleiche Winkel machen, ſo wird, bei der vorausgeſetzten Stellung der Spiegel, der Lichtſtrahl KC vom erſten Spiegel LG unter dem Winkel NCG = KCL zuruͤckgeworfen, und erreicht, zum zweiten Male reflectirt, weil INC = ONF = HNI war, durch das Fernrohr gehend, das Auge.","norm":"Der Gegenstand H braucht nämlich nur einige tausend Fuß entfernt zu sein, so wird man schon die von ihm herkommenden Lichtstrahlen KC und HNO, als unter sich parallel ansehen dürfen, und da parallele Linien KC, HN, mit parallelen Linien LG, IF, gleiche Winkel machen, so wird, bei der vorausgesetzten Stellung der Spiegel, der Lichtstrahl KC vom ersten Spiegel LG unter dem Winkel NCG = KCL 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+{"basename":"brandes_naturlehre02_1831","par_idx":834,"date":1831,"orig":"Da das Fernrohr und der zweite Spiegel ihre feſte Stellung am Kreiſe behalten, ſo wird der nach zweimaliger Spiegelung reflectirte Strahl noch immer in der Richtung NO zum Auge gelangen, und eben deshalb auch immer nach der Richtung CN vom erſten Spiegel ausgegangen ſein; aber dieſer erſte Spiegel hat jetzt die Stellung lg und der unter dem Winkel NCg zuruͤckgeworfene Strahl muß unter dem eben ſo großen Winkel SCI aufgefallen ſein; damit iſt offenbar die Lage des Punctes S, der bei dieſer Stellung im Spiegel erſcheint, beſtimmt.","norm":"Da das Fernrohr und der zweite Spiegel ihre feste Stellung am Kreise behalten, so wird der nach zweimaliger Spiegelung reflektierte Strahl noch immer in der Richtung NO zum Auge gelangen, und eben deshalb auch immer nach der Richtung CN vom ersten Spiegel ausgegangen sein; aber dieser erste Spiegel hat jetzt die Stellung lg und der unter dem Winkel Ncg zurückgeworfene Strahl 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+{"basename":"brandes_naturlehre02_1831","par_idx":836,"date":1831,"orig":"Iſt LG um 20 Grade fortgeruͤckt, ſo iſt der Zuruͤckwerfungswinkel NCg um 20 Grade kleiner als NCG, und ebenſo groß muß der Unterſchied zwiſchen den Winkeln SCI und KCL ſein; es iſt daher KCS doppelt ſo groß = 40 Grad, weil KCI = KCL + 20°, SCI = KCL - 20° = NCg = NCG - 20°, SCK = 40° iſt, oder mit andern Worten: indem der Spiegel um 1 Grad fortruͤckt, aͤndert ſich ſo wohl der Einfallswinkel, als der Reflexionswinkel, um 1 Grad, und der geſpiegelte Gegenſtand iſt alſo um 2 Grade von demjenigen Gegenſtande entfernt, den man bei der vorigen Stellung im Spiegel ſah.","norm":"Ist LG um 20 Grade fortgerückt, so ist der Zurückwerfungswinkel Ncg um 20 Grade kleiner als NCG, und ebenso groß muss der Unterschied zwischen den Winkeln SCI und KCL sein; es ist daher KCS doppelt so groß = 40 Grad, weil Chi = KCL + 20 °, SCI = KCL - 20 ° = Ncg = NCG - 20 °, SCK = 40 ° ist, oder mit anderen Worten: indem der Spiegel um 1 Grad 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+{"basename":"brandes_naturlehre02_1831","par_idx":847,"date":1831,"orig":"Die Intenſitaͤt des Sonnenlichtes und ſelbſt des reflectirten Sonnenlichtes iſt aber ſo groß, daß man das geſpiegelte Sonnenbild in einem 2 bis 3 zolligen Spiegel bis auf 120000 Fuß, das heißt bis auf 5 deutſche Meilen, mit bloßem Auge ſieht, obgleich ein ſolcher Spiegel nur unter einem Sehewinkel von ⅓ bis ½ Secunden erſcheint.","norm":"Die Intensität des Sonnenlichtes und selbst des reflektierten Sonnenlichtes ist aber so groß, dass man das gespiegelte Sonnenbild in einem 2 bis 3 zolligen Spiegel bis auf 120000 Fuß, das heißt bis auf 5 deutsche Meilen, mit bloßem Auge sieht, obgleich ein solcher Spiegel nur unter einem Sehwinkel von 1/3 bis ½ Sekunden 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+{"basename":"brandes_naturlehre02_1831","par_idx":848,"date":1831,"orig":"Die Schwierigkeit bei der Anwendung dieſes Signales beſtand aber darin, daß man kein Inſtrument beſaß, mit deſſen Huͤlfe man mit Sicherheit dem entfernten Beobachter das Sonnenbild zuwerfen, oder ihn ſicher in Stand ſetzen konnte, das geſpiegelte Bild zu ſehen, welches man, um ihm einen genauen Abſehepunct zu geben, hervorbringt; und dieſer Schwierigkeit hilft das von Gauß unter dem Namen Heliotrop angegebene Inſtrument ab.","norm":"Die Schwierigkeit bei der Anwendung dieses Signales bestand aber darin, dass man kein Instrument besaß, mit dessen Hilfe man mit Sicherheit dem entfernten Beobachter das Sonnenbild zuwerfen, oder ihn sicher in Stand setzen konnte, das gespiegelte Bild zu sehen, welches man, um ihm einen genauen Absehpunkt zu geben, hervorbringt; und dieser Schwierigkeit hilft das von Gauß unter dem Namen Heliotrop angegebene Instrument 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+{"basename":"brandes_naturlehre02_1831","par_idx":850,"date":1831,"orig":"Stellen auch in Fig. 39. mq, gz die beiden Spiegel vor, ſo iſt die Regel des Gebrauchs dieſe:","norm":"Stellen auch in Fig. 39 . mq, gz die beiden Spiegel vor, so ist die Regel des Gebrauchs 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+{"basename":"brandes_naturlehre02_1831","par_idx":852,"date":1831,"orig":"Es iſt naͤmlich einleuchtend, daß der Sonnenſtrahl SN von dem Spiegel mq nach NO geworfen wird, wenn der Spiegel gz ihn nach NB zuruͤckwirft, weil aus der Gleichheit der Winkel SNz = BNg auch die Gleichheit SNm = ONq folgt. NB und NO machen alſo eine genaue grade Linie.","norm":"Es ist nämlich einleuchtend, dass der Sonnenstrahl SN von dem Spiegel mq nach NO geworfen wird, wenn der Spiegel gz ihn nach NB zurückwirft, weil aus der Gleichheit der Winkel Snz = Bng auch die Gleichheit Snm = Onq folgt . NB und NO machen also eine genaue gerade 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In Ermangelung eines ſo koſtbaren Inſtruments pflegt man den Spiegel, den man an den Fenſterladen anſchraubt, um einen Lichtſtrahl in das dunkle Zimmer zu werfen, mit zwei Schrauben zu verſehen, damit eine gehoͤrige Aenderung in der Stellung des Spiegels das zu beobachtende Sonnenbild ſtets an einer Stelle, den Sonnenſtrahl in ſtets gleicher Richtung, erhalte.","norm":"Die dazu von es Gravesand schon gemachte Anordnung des Instrumentes ist ziemlich zusammengesetzt, und die Erklärung der Gründe für diese Anordnung nicht leicht, weshalb ich sie hier übergehe . 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+{"basename":"brandes_naturlehre02_1831","par_idx":885,"date":1831,"orig":"Der Ort des Bildes, der Punct V, ruͤckt immer naͤher an den Spiegel, je naͤher der Gegenſtand ſelbſt an den Spiegel heranruͤckt.","norm":"Der Ort des Bildes, der Punkt V, rückt immer näher an den Spiegel, je näher der Gegenstand selbst an den Spiegel 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+{"basename":"brandes_naturlehre02_1831","par_idx":902,"date":1831,"orig":"Hohlſpiegel auf Leuchtthuͤrmen.","norm":"Hohlspiegel auf Leuchttürmen.","orig_tok":["Hohlſpiegel","auf","Leuchtthuͤrmen","."],"norm_tok":["Hohlspiegel","auf","Leuchttürmen","."],"orig_spans":[[0,11],[12,15],[16,30],[30,31]],"norm_spans":[[0,11],[12,15],[16,28],[28,29]],"alignment":[[0,0],[1,1],[2,2],[3,3]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.315599918365478} +{"basename":"brandes_naturlehre02_1831","par_idx":903,"date":1831,"orig":"Aber ſchließen kann ich doch die den Hohlſpiegel betreffenden Betrachtungen noch nicht, da ich den großen Nutzen, welchen er auf Leuchtthuͤrmen und bei andern Beleuchtungen gewaͤhrt, nicht uͤbergehen darf.","norm":"Aber schließen kann ich doch die den Hohlspiegel betreffenden Betrachtungen noch nicht, da ich den großen Nutzen, welchen er auf Leuchttürmen und bei anderen Beleuchtungen gewährt, nicht übergehen 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+{"basename":"brandes_naturlehre02_1831","par_idx":911,"date":1831,"orig":"Und ſo verhaͤlt es ſich in allen ſehr entfernten Puncten, ſo daß man die Entfernung, bis zu welcher man den Spiegel des Leuchtthurms ſehen kann, nach der ſcheinbaren Groͤße deſſelben beurtheilen muß, und dieſe ſcheinbare Groͤße braucht nur ſehr klein zu ſein, um bei heller Luft in dunkler Nacht dem Auge noch einen hinreichenden Eindruck zu geben.","norm":"Und so verhält es sich in allen sehr entfernten Punkten, so dass man die Entfernung, bis zu welcher man den Spiegel des Leuchtturms sehen kann, nach der scheinbaren Größe desselben beurteilen muss, und diese scheinbare Größe braucht nur sehr klein zu sein, um bei heller Luft in dunkler Nacht dem Auge noch einen hinreichenden Eindruck zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":912,"date":1831,"orig":"Daß dieſer Glanz des Spiegels uͤbrigens nicht voͤllig ſo groß iſt, daß naͤmlich der Spiegel nicht alle Lichtſtrahlen reflectirt, das laͤßt ſich leicht erwarten.","norm":"Dass dieser Glanz des Spiegels übrigens nicht völlig so groß ist, dass nämlich der Spiegel nicht alle Lichtstrahlen reflektiert, das lässt sich leicht erwarten.","orig_tok":["Daß","dieſer","Glanz","des","Spiegels","uͤbrigens","nicht","voͤllig","ſo","groß","iſt",",","daß","naͤmlich","der","Spiegel","nicht","alle","Lichtſtrahlen","reflectirt",",","das","laͤßt","ſich","leicht","erwarten","."],"norm_tok":["Dass","dieser","Glanz","des","Spiegels","übrigens","nicht","völlig","so","groß","ist",",","dass","nämlich","der","Spiegel","nicht","alle","Lichtstrahlen","reflektiert",",","das","lässt","sich","leicht","erwarten","."],"orig_spans":[[0,3],[4,10],[11,16],[17,20],[21,29],[30,39],[40,45],[46,53],[54,56],[57,61],[62,65],[65,66],[67,70],[71,79],[80,83],[84,91],[92,97],[98,102],[103,116],[117,127],[127,128],[129,132],[133,138],[139,143],[144,150],[151,159],[159,160]],"norm_spans":[[0,4],[5,11],[12,17],[18,21],[22,30],[31,39],[40,45],[46,52],[53,55],[56,60],[61,64],[64,65],[66,70],[71,78],[79,82],[83,90],[91,96],[97,101],[102,115],[116,127],[127,128],[129,132],[133,138],[139,143],[144,150],[151,159],[159,160]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.337500095367432} +{"basename":"brandes_naturlehre02_1831","par_idx":913,"date":1831,"orig":"Nach Herſchels Beſtimmungen betraͤgt bei den beſten Spiegeln das reflectirte Licht nur ungefaͤhr [Formel] des einfallenden.","norm":"Nach Herschels Bestimmungen beträgt bei den besten Spiegeln das reflektierte Licht nur ungefähr [Formel] des einfallenden.","orig_tok":["Nach","Herſchels","Beſtimmungen","betraͤgt","bei","den","beſten","Spiegeln","das","reflectirte","Licht","nur","ungefaͤhr","[Formel]","des","einfallenden","."],"norm_tok":["Nach","Herschels","Bestimmungen","beträgt","bei","den","besten","Spiegeln","das","reflektierte","Licht","nur","ungefähr","[","Formel","]","des","einfallenden","."],"orig_spans":[[0,4],[5,14],[15,27],[28,36],[37,40],[41,44],[45,51],[52,60],[61,64],[65,76],[77,82],[83,86],[87,96],[97,105],[106,109],[110,122],[122,123]],"norm_spans":[[0,4],[5,14],[15,27],[28,35],[36,39],[40,43],[44,50],[51,59],[60,63],[64,76],[77,82],[83,86],[87,95],[96,97],[97,103],[103,104],[105,108],[109,121],[121,122]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[13,14],[13,15],[14,16],[15,17],[16,18]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.664999961853027} +{"basename":"brandes_naturlehre02_1831","par_idx":914,"date":1831,"orig":"Ich habe bisher die Hohlſpiegel immer als genau kugelfoͤrmig angeſehen, weil wir mit dem Kreiſe, als der Durchſchnittslinie des Kugelſpiegels, am meiſten vertraut ſind; aber der Kreis hat nicht auf das Vollkommenſte die Eigenſchaft, daß parallel einfallende Strahlen in einem einzigen Puncte vereinigt werden, oder daß umgekehrt die vom Brennpuncte ausgehenden Strahlen eine genau parallele Richtung erlangen, ſondern fuͤr recht gute Hohlſpiegel, die zu Spiegelteleſcopen dienen oder auf Leuchtthuͤrmen gebraucht werden ſollen, muß die paraboliſche Geſtalt gewaͤhlt werden.","norm":"Ich habe bisher die Hohlspiegel immer als genau kugelförmig angesehen, weil wir mit dem Kreise, als der Durchschnittslinie des Kugelspiegels, am meisten vertraut sind; aber der Kreis hat nicht auf das Vollkommenste die Eigenschaft, dass parallel einfallende Strahlen in einem einzigen Punkte vereinigt werden, oder dass umgekehrt die vom 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+{"basename":"brandes_naturlehre02_1831","par_idx":922,"date":1831,"orig":"Da dieſe Brennlinie ſich uns am oͤfterſten da zeigt, wo ein nahe ſtehendes Licht ſeine Strahlen auf eine hohle Cylinderflaͤche wirft, etwa auf die innere Seite einer cylindriſchen Porcellantaſſe, ſo will ich ſie hier ſo zeichnen, wie ſie bei nahe ſtehendem Lichte erſcheint.","norm":"Da diese Brennlinie sich uns am öftesten da zeigt, wo ein nahe stehendes Licht seine Strahlen auf eine hohle Zylinderfläche wirft, etwa auf die innere Seite einer zylindrischen Porzellantasse, so will ich sie hier so zeichnen, wie sie bei nahe stehendem Lichte erscheint.","orig_tok":["Da","dieſe","Brennlinie","ſich","uns","am","oͤfterſten","da","zeigt",",","wo","ein","nahe","ſtehendes","Licht","ſeine","Strahlen","auf","eine","hohle","Cylinderflaͤche","wirft",",","etwa","auf","die","innere","Seite","einer","cylindriſchen","Porcellantaſſe",",","ſo","will","ich","ſie","hier","ſo","zeichnen",",","wie","ſie","bei","nahe","ſtehendem","Lichte","erſcheint","."],"norm_tok":["Da","diese","Brennlinie","sich","uns","am","öftesten","da","zeigt",",","wo","ein","nahe","stehendes","Licht","seine","Strahlen","auf","eine","hohle","Zylinderfläche","wirft",",","etwa","auf","die","innere","Seite","einer","zylindrischen","Porzellantasse",",","so","will","ich","sie","hier","so","zeichnen",",","wie","sie","bei","nahe","stehendem","Lichte","erscheint","."],"orig_spans":[[0,2],[3,8],[9,19],[20,24],[25,28],[29,31],[32,42],[43,45],[46,51],[51,52],[53,55],[56,59],[60,64],[65,74],[75,80],[81,86],[87,95],[96,99],[100,104],[105,110],[111,126],[127,132],[132,133],[134,138],[139,142],[143,146],[147,153],[154,159],[160,165],[166,179],[180,194],[194,195],[196,198],[199,203],[204,207],[208,211],[212,216],[217,219],[220,228],[228,229],[230,233],[234,237],[238,241],[242,246],[247,256],[257,263],[264,273],[273,274]],"norm_spans":[[0,2],[3,8],[9,19],[20,24],[25,28],[29,31],[32,40],[41,43],[44,49],[49,50],[51,53],[54,57],[58,62],[63,72],[73,78],[79,84],[85,93],[94,97],[98,102],[103,108],[109,123],[124,129],[129,130],[131,135],[136,139],[140,143],[144,150],[151,156],[157,162],[163,176],[177,191],[191,192],[193,195],[196,200],[201,204],[205,208],[209,213],[214,216],[217,225],[225,226],[227,230],[231,234],[235,238],[239,243],[244,253],[254,260],[261,270],[270,271]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.256199836730957} +{"basename":"brandes_naturlehre02_1831","par_idx":923,"date":1831,"orig":"Es ſtehe naͤmlich das Licht F uͤber dem Rande der Taſſe (Fig. 44.), deren kreisfoͤrmigen Querſchnitt die Figur darſtellt, ſo werden, wenn wir bloß auf dieſen kreisfoͤrmigen Querſchnitt ſehen, die Strahlen Fa nach aα, Fb nach bβ, Fc nach cγ und ſo ferner zuruͤckgeworfen, und da alles von dem Bogen ab reflectirte Licht ſich in dem kleinen Raume αβ, alles von bc reflectirte Licht ſich in dem kleinen Raume βγ vereinigt, ſo erſcheint die Linie αβγδεζ ſehr erhellt, und ſie iſt eben das, was wir Brennlinie nennen.","norm":"Es stehe nämlich das Licht F über dem Rande der Tasse (Fig. 44.), deren kreisförmigen Querschnitt die Figur darstellt, so werden, wenn wir bloß auf diesen kreisförmigen Querschnitt sehen, die Strahlen Fa nach aα, Fb nach bβ, Fc nach cγ und so ferner zurückgeworfen, und da alles von dem Bogen ab reflektierte Licht sich in dem kleinen Raume ab, alles von bc reflektierte Licht sich in dem kleinen Raume 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die convexen Spiegel dagegen bieten allenfalls nur einen recht angenehmen Anblick der geſpiegelten Gegenſtaͤnde dar, ohne bis jetzt weiteren Nutzen zu gewaͤhren.","norm":"Jene geben uns, wie Sie in der Folge sehen werden, Mittel, um in Teleskopen und Mikroskopen diejenigen Bilder darzustellen, deren Betrachtung den Zweck dieser Instrumente ausmacht; die konvexen Spiegel dagegen bieten allenfalls nur einen recht angenehmen Anblick der gespiegelten Gegenstände dar, ohne bis jetzt weiteren Nutzen zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":945,"date":1831,"orig":"Ein vor dem Cylinderſpiegel liegendes in richtigen Verhaͤltniſſen gezeichnetes Bild gibt daher ein verzerrtes Spiegelbild, und umgekehrt muß man ein nach beſtimmten Regeln unrichtiges, verzerrtes Bild zeichnen, wenn es im Spiegel in richtigen Verhaͤltniſſen erſcheinen ſoll.","norm":"Ein vor dem Zylinderspiegel liegendes in richtigen Verhältnissen gezeichnetes Bild gibt daher ein verzerrtes Spiegelbild, und umgekehrt muss man ein nach bestimmten Regeln unrichtiges, verzerrtes Bild zeichnen, wenn es im Spiegel in richtigen Verhältnissen erscheinen 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+{"basename":"brandes_naturlehre02_1831","par_idx":946,"date":1831,"orig":"Die Regeln, nach denen dieſe Zeichnungen verfertigt werden, ſind ziemlich verwickelt, und ich will daher bei ihnen nicht verweilen, ſondern die viel leichteren Regeln der Zeichnung fuͤr den Kegelſpiegel angeben.","norm":"Die Regeln, nach denen diese Zeichnungen verfertigt werden, sind ziemlich verwickelt, und ich will daher bei ihnen nicht verweilen, sondern die viel leichteren Regeln der Zeichnung für den Kegelspiegel 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+{"basename":"brandes_naturlehre02_1831","par_idx":947,"date":1831,"orig":"Wenn man oberhalb des Kegelſpiegels (Fig. 46.)","norm":"Wenn man oberhalb des Kegelspiegels (Fig. 46.)","orig_tok":["Wenn","man","oberhalb","des","Kegelſpiegels","(","Fig.","46",".",")"],"norm_tok":["Wenn","man","oberhalb","des","Kegelspiegels","(","Fig",".","46.",")"],"orig_spans":[[0,4],[5,8],[9,17],[18,21],[22,35],[36,37],[37,41],[42,44],[44,45],[45,46]],"norm_spans":[[0,4],[5,8],[9,17],[18,21],[22,35],[36,37],[37,40],[40,41],[42,45],[45,46]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,null],[8,7],[null,8],[9,9]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.345600128173828} +{"basename":"brandes_naturlehre02_1831","par_idx":948,"date":1831,"orig":"ACB das Auge in der verlaͤngerten Axe, in O haͤlt, ſo ſieht man alle um die Grundflaͤche des Kegels herum liegenden Puncte abgeſpiegelt, und ihr Bild erſcheint ungefaͤhr ſo, als ob die geſpiegelten Gegenſtaͤnde auf dieſer Grundflaͤche AB ſelbſt aufgezeichnet waͤren.","norm":"ACB das Auge in der verlängerten Achse, in O hält, so sieht man alle um die Grundfläche des Kegels herum liegenden Punkte abgespiegelt, und ihr Bild erscheint ungefähr so, als ob die gespiegelten Gegenstände auf dieser Grundfläche AB selbst aufgezeichnet 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+{"basename":"brandes_naturlehre02_1831","par_idx":949,"date":1831,"orig":"Will man nun einen Gegenſtand, einen Kopf zum Beiſpiel, als Spiegelbild erhalten, ſo muß man nach folgender Regel jeden Punct auf eine die Grundflaͤche umgebende Zeichnung eintragen.","norm":"Will man nun einen Gegenstand, einen Kopf zum Beispiel, als Spiegelbild erhalten, so muss man nach folgender Regel jeden Punkt auf eine die Grundfläche umgebende Zeichnung 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dem Augenpunkte, macht die Winkel sEB = BET = CEO gleich, und bemerkt, indem man so ET zieht, den Punkt T, wo diese Linie in die Ebene der Grundfläche eintrifft; — so weit als T von D entfernt ist, wird der aufzuzeichnende Punkt, auf eben dem Radius, in welchem s liegt, 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+{"basename":"brandes_naturlehre02_1831","par_idx":960,"date":1831,"orig":"Wir ſagen hier mit vollem Rechte, der von E ausgehende, zum Auge O gelangende Lichtſtrahl koͤmmt, weil er immer in einerlei Koͤrper, in der Luft, fortgeht, in grader Linie zum Auge, und da wir ihn, als unmittelbar an B vorbei gehend erkennen, ſo iſt EBO grade.","norm":"Wir sagen hier mit vollem Rechte, der von E ausgehende, zum Auge O gelangende Lichtstrahl kommt, weil er immer in einerlei Körper, in der Luft, fortgeht, in gerader Linie zum Auge, und da wir ihn, als unmittelbar an B vorbeigehend erkennen, so ist EBO 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+{"basename":"brandes_naturlehre02_1831","par_idx":961,"date":1831,"orig":"Aber wenn wir nun Waſſer eingießen und das Gefaͤß bis an GH fuͤllen, waͤhrend das Auge unverruͤckt in O bleibt, ſo ſcheint E uͤber den Rand hervorzuſteigen und ein Punct F, der vorher vom Rande bedeckt war, wird ſichtbar.","norm":"Aber wenn wir nun Wasser eingießen und das Gefäß bis an GH füllen, während das Auge unverrückt in O bleibt, so scheint E über den Rand hervorzusteigen und ein Punkt F, der vorher vom Rande bedeckt war, wird 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A, wo der Lichtſtrahl BA die Trennungsflaͤche der beiden durchſichtigen Koͤrper erreicht, die Senkrechte AC gegen dieſe Trennungsflaͤche DE oder das Einfallsloth errichtet.","norm":"Um diese Gesetze genau anzugeben, denken wir uns in dem Punkte (Fig. 48.) 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+{"basename":"brandes_naturlehre02_1831","par_idx":971,"date":1831,"orig":"Bei dieſer Brechung bleibt der Lichtſtrahl AG in eben der Ebne, in welcher der einfallende Strahl und das Einfallsloth lagen; er wird alſo nicht ſeitwaͤrts abgelenkt, ſondern ſein Fortgang wird nur nach der mit AH parallelen Richtung verſtaͤrkt; er wird zu einem tieferen Eindringen veranlaßt.","norm":"Bei dieser Brechung bleibt der Lichtstrahl AG in eben der Ebene, in welcher der einfallende Strahl und das Einfallslot lagen; er wird also nicht seitwärts abgelenkt, sondern sein Fortgang wird nur nach der mit AH parallelen Richtung verstärkt; er wird zu einem tieferen Eindringen veranlasst.","orig_tok":["Bei","dieſer","Brechung","bleibt","der","Lichtſtrahl","AG","in","eben","der","Ebne",",","in","welcher","der","einfallende","Strahl","und","das","Einfallsloth","lagen",";","er","wird","alſo","nicht","ſeitwaͤrts","abgelenkt",",","ſondern","ſein","Fortgang","wird","nur","nach","der","mit","AH","parallelen","Richtung","verſtaͤrkt",";","er","wird","zu","einem","tieferen","Eindringen","veranlaßt","."],"norm_tok":["Bei","dieser","Brechung","bleibt","der","Lichtstrahl","AG","in","eben","der","Ebene",",","in","welcher","der","einfallende","Strahl","und","das","Einfallslot","lagen",";","er","wird","also","nicht","seitwärts","abgelenkt",",","sondern","sein","Fortgang","wird","nur","nach","der","mit","AH","parallelen","Richtung","verstärkt",";","er","wird","zu","einem","tieferen","Eindringen","veranlasst","."],"orig_spans":[[0,3],[4,10],[11,19],[20,26],[27,30],[31,42],[43,45],[46,48],[49,53],[54,57],[58,62],[62,63],[64,66],[67,74],[75,78],[79,90],[91,97],[98,101],[102,105],[106,118],[119,124],[124,125],[126,128],[129,133],[134,138],[139,144],[145,155],[156,165],[165,166],[167,174],[175,179],[180,188],[189,193],[194,197],[198,202],[203,206],[207,210],[211,213],[214,224],[225,233],[234,244],[244,245],[246,248],[249,253],[254,256],[257,262],[263,271],[272,282],[283,292],[292,293]],"norm_spans":[[0,3],[4,10],[11,19],[20,26],[27,30],[31,42],[43,45],[46,48],[49,53],[54,57],[58,63],[63,64],[65,67],[68,75],[76,79],[80,91],[92,98],[99,102],[103,106],[107,118],[119,124],[124,125],[126,128],[129,133],[134,138],[139,144],[145,154],[155,164],[164,165],[166,173],[174,178],[179,187],[188,192],[193,196],[197,201],[202,205],[206,209],[210,212],[213,223],[224,232],[233,242],[242,243],[244,246],[247,251],[252,254],[255,260],[261,269],[270,280],[281,291],[291,292]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.3942999839782715} +{"basename":"brandes_naturlehre02_1831","par_idx":972,"date":1831,"orig":"In welchem Maaße dieſe Verkleinerung des Winkels HAG, der naͤmlich kleiner als BAC wird, ſtatt findet, das haͤngt von der eigenthuͤmlichen Natur der brechenden Koͤrper ab; aber es giebt ein vollkommen ſtrenges Geſetz, welches fuͤr einerlei Koͤrper in Beziehung auf alle Strahlen, der Winkel BAC ſei groͤßer oder kleiner, guͤltig iſt.","norm":"In welchem Maße diese Verkleinerung des Winkels HAG, der nämlich kleiner als BAC wird, stattfindet, das hängt von der eigentümlichen Natur der brechenden Körper ab; aber es gibt ein vollkommen strenges Gesetz, welches für einerlei Körper in Beziehung auf alle Strahlen, der Winkel back sei größer oder kleiner, gültig ist.","orig_tok":["In","welchem","Maaße","dieſe","Verkleinerung","des","Winkels","HAG",",","der","naͤmlich","kleiner","als","BAC","wird",",","ſtatt","findet",",","das","haͤngt","von","der","eigenthuͤmlichen","Natur","der","brechenden","Koͤrper","ab",";","aber","es","giebt","ein","vollkommen","ſtrenges","Geſetz",",","welches","fuͤr","einerlei","Koͤrper","in","Beziehung","auf","alle","Strahlen",",","der","Winkel","BAC","ſei","groͤßer","oder","kleiner",",","guͤltig","iſt","."],"norm_tok":["In","welchem","Maße","diese","Verkleinerung","des","Winkels","HAG",",","der","nämlich","kleiner","als","BAC","wird",",","stattfindet",",","das","hängt","von","der","eigentümlichen","Natur","der","brechenden","Körper","ab",";","aber","es","gibt","ein","vollkommen","strenges","Gesetz",",","welches","für","einerlei","Körper","in","Beziehung","auf","alle","Strahlen",",","der","Winkel","back","sei","größer","oder","kleiner",",","gültig","ist","."],"orig_spans":[[0,2],[3,10],[11,16],[17,22],[23,36],[37,40],[41,48],[49,52],[52,53],[54,57],[58,66],[67,74],[75,78],[79,82],[83,87],[87,88],[89,94],[95,101],[101,102],[103,106],[107,113],[114,117],[118,121],[122,138],[139,144],[145,148],[149,159],[160,167],[168,170],[170,171],[172,176],[177,179],[180,185],[186,189],[190,200],[201,209],[210,216],[216,217],[218,225],[226,230],[231,239],[240,247],[248,250],[251,260],[261,264],[265,269],[270,278],[278,279],[280,283],[284,290],[291,294],[295,298],[299,306],[307,311],[312,319],[319,320],[321,328],[329,332],[332,333]],"norm_spans":[[0,2],[3,10],[11,15],[16,21],[22,35],[36,39],[40,47],[48,51],[51,52],[53,56],[57,64],[65,72],[73,76],[77,80],[81,85],[85,86],[87,98],[98,99],[100,103],[104,109],[110,113],[114,117],[118,132],[133,138],[139,142],[143,153],[154,160],[161,163],[163,164],[165,169],[170,172],[173,177],[178,181],[182,192],[193,201],[202,208],[208,209],[210,217],[218,221],[222,230],[231,237],[238,240],[241,250],[251,254],[255,259],[260,268],[268,269],[270,273],[274,280],[281,285],[286,289],[290,296],[297,301],[302,309],[309,310],[311,317],[318,321],[321,322]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,16],[18,17],[19,18],[20,19],[21,20],[22,21],[23,22],[24,23],[25,24],[26,25],[27,26],[28,27],[29,28],[30,29],[31,30],[32,31],[33,32],[34,33],[35,34],[36,35],[37,36],[38,37],[39,38],[40,39],[41,40],[42,41],[43,42],[44,43],[45,44],[46,45],[47,46],[48,47],[49,48],[50,null],[null,49],[51,50],[52,51],[53,52],[54,53],[55,54],[56,55],[57,56],[58,57]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.564199924468994} +{"basename":"brandes_naturlehre02_1831","par_idx":973,"date":1831,"orig":"Um dieſes Geſetz zuerſt durch ein Beiſpiel zu erlaͤutern, dringe der Lichtſtrahl aus Luft in einen Glaskoͤrper DGE ein, ſo iſt faſt genau, wenn man einen Kreis um A zieht, alſo AN = AL nimmt, die ſenkrecht auf CH gezogene NO zwei Drittel der ebenfalls auf CH ſenkrechten LM, und dieſes Verhaͤltniß bleibt genau gleich bei allen Einfallswinkeln.","norm":"Um dieses Gesetz zuerst durch ein Beispiel zu erläutern, dringe der Lichtstrahl aus Luft in einen Glaskörper DGE ein, so ist fast genau, wenn man einen Kreis um A zieht, also AN = AL nimmt, die senkrecht auf CH gezogene NO zwei Drittel der ebenfalls auf CH senkrechten LM, und dieses Verhältnis bleibt genau gleich bei allen Einfallswinkeln.","orig_tok":["Um","dieſes","Geſetz","zuerſt","durch","ein","Beiſpiel","zu","erlaͤutern",",","dringe","der","Lichtſtrahl","aus","Luft","in","einen","Glaskoͤrper","DGE","ein",",","ſo","iſt","faſt","genau",",","wenn","man","einen","Kreis","um","A","zieht",",","alſo","AN","=","AL","nimmt",",","die","ſenkrecht","auf","CH","gezogene","NO","zwei","Drittel","der","ebenfalls","auf","CH","ſenkrechten","LM",",","und","dieſes","Verhaͤltniß","bleibt","genau","gleich","bei","allen","Einfallswinkeln","."],"norm_tok":["Um","dieses","Gesetz","zuerst","durch","ein","Beispiel","zu","erläutern",",","dringe","der","Lichtstrahl","aus","Luft","in","einen","Glaskörper","DGE","ein",",","so","ist","fast","genau",",","wenn","man","einen","Kreis","um","A","zieht",",","also","AN","=","AL","nimmt",",","die","senkrecht","auf","CH","gezogene","NO","zwei","Drittel","der","ebenfalls","auf","CH","senkrechten","LM",",","und","dieses","Verhältnis","bleibt","genau","gleich","bei","allen","Einfallswinkeln","."],"orig_spans":[[0,2],[3,9],[10,16],[17,23],[24,29],[30,33],[34,42],[43,45],[46,56],[56,57],[58,64],[65,68],[69,80],[81,84],[85,89],[90,92],[93,98],[99,110],[111,114],[115,118],[118,119],[120,122],[123,126],[127,131],[132,137],[137,138],[139,143],[144,147],[148,153],[154,159],[160,162],[163,164],[165,170],[170,171],[172,176],[177,179],[180,181],[182,184],[185,190],[190,191],[192,195],[196,205],[206,209],[210,212],[213,221],[222,224],[225,229],[230,237],[238,241],[242,251],[252,255],[256,258],[259,270],[271,273],[273,274],[275,278],[279,285],[286,297],[298,304],[305,310],[311,317],[318,321],[322,327],[328,343],[343,344]],"norm_spans":[[0,2],[3,9],[10,16],[17,23],[24,29],[30,33],[34,42],[43,45],[46,55],[55,56],[57,63],[64,67],[68,79],[80,83],[84,88],[89,91],[92,97],[98,108],[109,112],[113,116],[116,117],[118,120],[121,124],[125,129],[130,135],[135,136],[137,141],[142,145],[146,151],[152,157],[158,160],[161,162],[163,168],[168,169],[170,174],[175,177],[178,179],[180,182],[183,188],[188,189],[190,193],[194,203],[204,207],[208,210],[211,219],[220,222],[223,227],[228,235],[236,239],[240,249],[250,253],[254,256],[257,268],[269,271],[271,272],[273,276],[277,283],[284,294],[295,301],[302,307],[308,314],[315,318],[319,324],[325,340],[340,341]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.9106998443603525} +{"basename":"brandes_naturlehre02_1831","par_idx":974,"date":1831,"orig":"Hat man alſo eine Glas-Art, bei welcher dieſes Brechungsverhaͤltniß genau ſtatt findet, ſo iſt es ſehr leicht, fuͤr jeden einfallenden Strahl ba die Richtung des gebrochenen Strahles zu finden.","norm":"Hat man also eine Glasart, bei welcher dieses Brechungsverhältnis genau stattfindet, so ist es sehr leicht, für jeden einfallenden Strahl ba die Richtung des gebrochenen Strahles zu 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statt.","orig_tok":["Das","Geſetz","der","Brechung","iſt","alſo",",","daß","nicht","der","Winkel",",","welchen","der","einfallende","Strahl","mit","dem","Einfallslothe","macht",",","zu","dem","Winkel",",","den","der","gebrochene","Strahl","mit","dem","Einfallslothe","macht",",","einerlei","Verhaͤltniß","bei","allen","verſchiedenen","Richtungen","des","einfallenden","Strahles","behaͤlt",",","ſondern","dieſes","immer","gleiche","Verhaͤltniß","findet","zwiſchen","den","nach","der","vorigen","Regel","beſtimmten","ſenkrechten","Linien",",","die","man","die","Sinus","jener","Winkel","nennt",",","ſtatt","."],"norm_tok":["Das","Gesetz","der","Brechung","ist","also",",","dass","nicht","der","Winkel",",","welchen","der","einfallende","Strahl","mit","dem","Einfallslot","macht",",","zu","dem","Winkel",",","den","der","gebrochene","Strahl","mit","dem","Einfallslot","macht",",","einerlei","Verhältnis","bei","allen","verschiedenen","Richtungen","des","einfallenden","Strahles","behält",",","sondern","dieses","immer","gleiche","Verhältnis","findet","zwischen","den","nach","der","vorigen","Regel","bestimmten","senkrechten","Linien",",","die","man","die","Sinus","jener","Winkel","nennt",",","statt","."],"orig_spans":[[0,3],[4,10],[11,14],[15,23],[24,27],[28,32],[32,33],[34,37],[38,43],[44,47],[48,54],[54,55],[56,63],[64,67],[68,79],[80,86],[87,90],[91,94],[95,108],[109,114],[114,115],[116,118],[119,122],[123,129],[129,130],[131,134],[135,138],[139,149],[150,156],[157,160],[161,164],[165,178],[179,184],[184,185],[186,194],[195,206],[207,210],[211,216],[217,230],[231,241],[242,245],[246,258],[259,267],[268,275],[275,276],[277,284],[285,291],[292,297],[298,305],[306,317],[318,324],[325,333],[334,337],[338,342],[343,346],[347,354],[355,360],[361,371],[372,383],[384,390],[390,391],[392,395],[396,399],[400,403],[404,409],[410,415],[416,422],[423,428],[428,429],[430,435],[435,436]],"norm_spans":[[0,3],[4,10],[11,14],[15,23],[24,27],[28,32],[32,33],[34,38],[39,44],[45,48],[49,55],[55,56],[57,64],[65,68],[69,80],[81,87],[88,91],[92,95],[96,107],[108,113],[113,114],[115,117],[118,121],[122,128],[128,129],[130,133],[134,137],[138,148],[149,155],[156,159],[160,163],[164,175],[176,181],[181,182],[183,191],[192,202],[203,206],[207,212],[213,226],[227,237],[238,241],[242,254],[255,263],[264,270],[270,271],[272,279],[280,286],[287,292],[293,300],[301,311],[312,318],[319,327],[328,331],[332,336],[337,340],[341,348],[349,354],[355,365],[366,377],[378,384],[384,385],[386,389],[390,393],[394,397],[398,403],[404,409],[410,416],[417,422],[422,423],[424,429],[429,430]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.893899917602539} 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größeren Winkeln darf man diese Verwechselung nicht mehr gelten lassen, sondern muss das Verhältnis auf jene senkrechten Linien 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+{"basename":"brandes_naturlehre02_1831","par_idx":983,"date":1831,"orig":"Es iſt ziemlich von ſelbſt klar, daß wir einen kleinen Theil der krummen Oberflaͤche zunaͤchſt um den Punct, wo der einfallende Strahl dieſe trifft, als eben anſehen koͤnnen, und daß daher die dort beruͤhrende Ebne uns die Lage desjenigen ſehr kleinen Theiles der gekruͤmmten Flaͤche, auf den es hier ankoͤmmt, darſtellt.","norm":"Es ist ziemlich von selbst klar, dass wir einen kleinen Teil der krummen Oberfläche zunächst um den Punkt, wo der einfallende Strahl diese trifft, als eben ansehen können, und dass daher die dort berührende Ebene uns die Lage desjenigen sehr kleinen Teiles der gekrümmten Fläche, auf den es hier ankommt, 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+{"basename":"brandes_naturlehre02_1831","par_idx":984,"date":1831,"orig":"Wir muͤſſen daher auch bei einer krummen Flaͤche das Einfallsloth, die Linie, welche an dieſer Stelle ſenkrecht gegen die Oberflaͤche iſt, ziehen und in Beziehung auf dieſes den Winkel nach der Brechung aus dem Einfallswinkel ganz ſo wie bei einer Ebne beſtimmen.","norm":"Wir müssen daher auch bei einer krummen Fläche das Einfallslot, die Linie, welche an dieser Stelle senkrecht gegen die Oberfläche ist, ziehen und in Beziehung auf dieses den Winkel nach der Brechung aus dem Einfallswinkel ganz so wie bei einer Ebene 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+{"basename":"brandes_naturlehre02_1831","par_idx":985,"date":1831,"orig":"Mittel die Staͤrke der Brechung zu beſtimmen.","norm":"Mittel die Stärke der Brechung zu bestimmen.","orig_tok":["Mittel","die","Staͤrke","der","Brechung","zu","beſtimmen","."],"norm_tok":["Mittel","die","Stärke","der","Brechung","zu","bestimmen","."],"orig_spans":[[0,6],[7,10],[11,18],[19,22],[23,31],[32,34],[35,44],[44,45]],"norm_spans":[[0,6],[7,10],[11,17],[18,21],[22,30],[31,33],[34,43],[43,44]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.065599918365478} +{"basename":"brandes_naturlehre02_1831","par_idx":986,"date":1831,"orig":"Obgleich das Prisma uns das angemeſſenſte Mittel darbietet, um die Staͤrke der Brechung fuͤr verſchiedene Koͤrper zu beſtimmen, ſo iſt es doch wohl nicht ganz unpaſſend, auch einige einfachere Mittel, deren man ſich in fruͤhern Zeiten, um dieſen Zweck zu erreichen, bedient hat, hier anzufuͤhren.","norm":"Obgleich das Prisma uns das angemessenste Mittel darbietet, um die Stärke der Brechung für verschiedene Körper zu bestimmen, so ist es doch wohl nicht ganz unpassend, auch einige einfachere Mittel, deren man sich in früheren Zeiten, um diesen Zweck zu erreichen, bedient hat, hier anzuführen.","orig_tok":["Obgleich","das","Prisma","uns","das","angemeſſenſte","Mittel","darbietet",",","um","die","Staͤrke","der","Brechung","fuͤr","verſchiedene","Koͤrper","zu","beſtimmen",",","ſo","iſt","es","doch","wohl","nicht","ganz","unpaſſend",",","auch","einige","einfachere","Mittel",",","deren","man","ſich","in","fruͤhern","Zeiten",",","um","dieſen","Zweck","zu","erreichen",",","bedient","hat",",","hier","anzufuͤhren","."],"norm_tok":["Obgleich","das","Prisma","uns","das","angemessenste","Mittel","darbietet",",","um","die","Stärke","der","Brechung","für","verschiedene","Körper","zu","bestimmen",",","so","ist","es","doch","wohl","nicht","ganz","unpassend",",","auch","einige","einfachere","Mittel",",","deren","man","sich","in","früheren","Zeiten",",","um","diesen","Zweck","zu","erreichen",",","bedient","hat",",","hier","anzuführen","."],"orig_spans":[[0,8],[9,12],[13,19],[20,23],[24,27],[28,41],[42,48],[49,58],[58,59],[60,62],[63,66],[67,74],[75,78],[79,87],[88,92],[93,105],[106,113],[114,116],[117,126],[126,127],[128,130],[131,134],[135,137],[138,142],[143,147],[148,153],[154,158],[159,168],[168,169],[170,174],[175,181],[182,192],[193,199],[199,200],[201,206],[207,210],[211,215],[216,218],[219,227],[228,234],[234,235],[236,238],[239,245],[246,251],[252,254],[255,264],[264,265],[266,273],[274,277],[277,278],[279,283],[284,295],[295,296]],"norm_spans":[[0,8],[9,12],[13,19],[20,23],[24,27],[28,41],[42,48],[49,58],[58,59],[60,62],[63,66],[67,73],[74,77],[78,86],[87,90],[91,103],[104,110],[111,113],[114,123],[123,124],[125,127],[128,131],[132,134],[135,139],[140,144],[145,150],[151,155],[156,165],[165,166],[167,171],[172,178],[179,189],[190,196],[196,197],[198,203],[204,207],[208,212],[213,215],[216,224],[225,231],[231,232],[233,235],[236,242],[243,248],[249,251],[252,261],[261,262],[263,270],[271,274],[274,275],[276,280],[281,291],[291,292]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.395600080490112} +{"basename":"brandes_naturlehre02_1831","par_idx":987,"date":1831,"orig":"Dieſe Mittel, wenn ſie auch keine vollkommene Genauigkeit geſtatten, ſind doch darum bemerkenswerth, weil ſie ſich ſo unmittelbar an die einfachſte Erſcheinung anſchließen und deshalb am beſten zur Erlaͤuterung des bisher Angefuͤhrten dienen.","norm":"Diese Mittel, wenn sie auch keine vollkommene Genauigkeit gestatten, sind doch darum bemerkenswert, weil sie sich so unmittelbar an die einfachste Erscheinung anschließen und deshalb am besten zur Erläuterung des bisher Angeführten 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+{"basename":"brandes_naturlehre02_1831","par_idx":988,"date":1831,"orig":"— Stellen Sie ſich einen eingetheilten Kreis vor, um deſſen Mittelpunct ſich zwei verſchiedene Regeln oder Lineale drehen laſſen; dieſer ſei bis an ſeinen Durchmeſſer AB (Fig. 49.) in Waſſer oder in diejenige Fluͤſſigkeit, deren Brechungsvermoͤgen man pruͤfen will, eingetaucht, und nun das eine Lineal CD auf eine beſtimmte Zahl von Graden, zum Beiſpiel ſo geſtellt, daß der Winkel DCE 12 Grad vom Einfallslothe CE an betraͤgt.","norm":"— Stellen Sie sich einen eingeteilten Kreis vor, um dessen Mittelpunkt sich zwei verschiedene Regeln oder Lineale drehen lassen; dieser sei bis an seinen Durchmesser AB (Fig. 49.) in Wasser oder in diejenige Flüssigkeit, deren Brechungsvermögen man prüfen will, eingetaucht, und nun das eine Lineal CD auf eine bestimmte Zahl von Geraden, zum Beispiel so gestellt, dass der Winkel DCE 12 Grad vom Einfallslot CE an 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+{"basename":"brandes_naturlehre02_1831","par_idx":989,"date":1831,"orig":"Bringt man nun das außer dem Waſſer befindliche Lineal CF in die Stellung, wobei man nach der Richtung FC den Punct D ſieht, ſo iſt GCF nicht 12, ſondern fuͤr Waſſer ungefaͤhr 16 Grad, und fuͤr eine nicht allzu genaue Meſſung wird man ſelbſt noch, wenn auch die Winkel groͤßer werden, den Winkel GCF ziemlich genau in eben dem Verhaͤltniſſe groͤßer finden.","norm":"Bringt man nun das außer dem Wasser befindliche Lineal CF in die Stellung, wobei man nach der Richtung FC den Punkt D sieht, so ist GCF nicht 12, sondern für Wasser ungefähr 16 Grad, und für eine nicht allzu genaue Messung wird man selbst noch, wenn auch die Winkel größer werden, den Winkel GCF ziemlich genau in eben dem Verhältnisse größer 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+{"basename":"brandes_naturlehre02_1831","par_idx":1001,"date":1831,"orig":"Auch die Taͤuſchung, als ob der Boden des Gefaͤßes hoͤher ruͤcke, wenn man nach und nach mehr Waſſer hinein gießt, laͤßt ſich vollkommen erklaͤren.","norm":"Auch die Täuschung, als ob der Boden des Gefäßes höher rücke, wenn man nach und nach mehr Wasser hineingießt, lässt sich vollkommen erklären.","orig_tok":["Auch","die","Taͤuſchung",",","als","ob","der","Boden","des","Gefaͤßes","hoͤher","ruͤcke",",","wenn","man","nach","und","nach","mehr","Waſſer","hinein","gießt",",","laͤßt","ſich","vollkommen","erklaͤren","."],"norm_tok":["Auch","die","Täuschung",",","als","ob","der","Boden","des","Gefäßes","höher","rücke",",","wenn","man","nach","und","nach","mehr","Wasser","hineingießt",",","lässt","sich","vollkommen","erklären","."],"orig_spans":[[0,4],[5,8],[9,19],[19,20],[21,24],[25,27],[28,31],[32,37],[38,41],[42,50],[51,57],[58,64],[64,65],[66,70],[71,74],[75,79],[80,83],[84,88],[89,93],[94,100],[101,107],[108,113],[113,114],[115,120],[121,125],[126,136],[137,146],[146,147]],"norm_spans":[[0,4],[5,8],[9,18],[18,19],[20,23],[24,26],[27,30],[31,36],[37,40],[41,48],[49,54],[55,60],[60,61],[62,66],[67,70],[71,75],[76,79],[80,84],[85,89],[90,96],[97,108],[108,109],[110,115],[116,120],[121,131],[132,140],[140,141]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,20],[22,21],[23,22],[24,23],[25,24],[26,25],[27,26]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.823899984359741} +{"basename":"brandes_naturlehre02_1831","par_idx":1002,"date":1831,"orig":"Koͤnnten wir (Fig. 52.) unſern Blick auf den Boden A des Gefaͤßes ſo beſchraͤnken, daß wir nur den einzigen Punct A ins Auge faßten, von welchem der ſenkrecht die Oberflaͤche DE treffende Strahl ABO in das Auge O koͤmmt, ſo wuͤrden wir nichts bemerken, das eine Brechung verriethe; denn dieſer ſenkrecht auf die brechende Ebne DE treffende Strahl geht ungebrochen durch.","norm":"Könnten wir (Fig. 52.) unseren Blick auf den Boden A des Gefäßes so beschränken, dass wir nur den einzigen Punkt A ins Auge fassten, von welchem der senkrecht die Oberfläche DE treffende Strahl ABO in das Auge O kommt, so würden wir nichts bemerken, das eine Brechung verriete; denn dieser senkrecht auf die brechende Ebene DE treffende Strahl geht ungebrochen 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der Senkrechten AO entfernt 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vollständig.","orig_tok":["Und","da","bei","der","geringſten","Bewegung","des","Auges",",","A","ſelbſt","ſo","ſehr","ſeitwaͤrts","zu","ruͤcken","ſcheint",",","als","ob","er","in","a","laͤge",",","ſo","iſt","die","Taͤuſchung",",","als","ob","der","Boden","hoͤher","geruͤckt","waͤre",",","vollſtaͤndig","."],"norm_tok":["Und","da","bei","der","geringsten","Bewegung","des","Auges",",","A","selbst","so","sehr","seitwärts","zu","rücken","scheint",",","als","ob","er","in","a","läge",",","so","ist","die","Täuschung",",","als","ob","der","Boden","höher","gerückt","wäre",",","vollständig","."],"orig_spans":[[0,3],[4,6],[7,10],[11,14],[15,25],[26,34],[35,38],[39,44],[44,45],[46,47],[48,54],[55,57],[58,62],[63,73],[74,76],[77,84],[85,92],[92,93],[94,97],[98,100],[101,103],[104,106],[107,108],[109,114],[114,115],[116,118],[119,122],[123,126],[127,137],[137,138],[139,142],[143,145],[146,149],[150,155],[156,162],[163,171],[172,177],[177,178],[179,191],[191,192]],"norm_spans":[[0,3],[4,6],[7,10],[11,14],[15,25],[26,34],[35,38],[39,44],[44,45],[46,47],[48,54],[55,57],[58,62],[63,72],[73,75],[76,82],[83,90],[90,91],[92,95],[96,98],[99,101],[102,104],[105,106],[107,111],[111,112],[113,115],[116,119],[120,123],[124,133],[133,134],[135,138],[139,141],[142,145],[146,151],[152,157],[158,165],[166,170],[170,171],[172,183],[183,184]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.214700222015381} +{"basename":"brandes_naturlehre02_1831","par_idx":1005,"date":1831,"orig":"Eine andre Taͤuſchung bietet ſich uns darin dar, daß bei ſchwankender Oberflaͤche des Waſſers ſich die Gegenſtaͤnde auf dem Boden des Waſſers, oder alle die, welche ſich unter dem Waſſer befinden, zu bewegen ſcheinen.","norm":"Eine andere Täuschung bietet sich uns darin dar, dass bei schwankender Oberfläche des Wassers sich die Gegenstände auf dem Boden des Wassers, oder alle die, welche sich unter dem Wasser befinden, zu bewegen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1006,"date":1831,"orig":"Es iſt Ihnen bekannt, daß wir einen Koͤrper fuͤr bewegt halten, wenn die gegen ihn hin gezogene Richtungslinie eine andre Lage annimmt, oder wie wir hier es ausdruͤcken muͤſſen, wenn der von ihm zu unſerm Auge gelangende Lichtſtrahl in einer veraͤnderten Richtung unſer Auge erreicht; aber dieſe Richtung des zu uns gelangenden Lichtſtrahles wird gewiß geaͤndert, wenn die Oberflaͤche des Fluͤſſigen bei ihren Schwankungen eine verſchiedene Lage annimmt.","norm":"Es ist Ihnen bekannt, dass wir einen Körper für bewegt halten, wenn die gegen ihn hin gezogene Richtungslinie eine andere Lage annimmt, oder wie wir hier es ausdrücken müssen, wenn der von ihm zu unserem Auge gelangende Lichtstrahl in einer veränderten Richtung unser Auge erreicht; aber diese Richtung des zu uns gelangenden Lichtstrahles wird gewiss geändert, wenn die Oberfläche des Flüssigen bei ihren Schwankungen eine verschiedene Lage 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+{"basename":"brandes_naturlehre02_1831","par_idx":1007,"date":1831,"orig":"Ich will dies nur fuͤr den (Fig. 53.) von A ausgehenden Strahl zeigen, der, ſo lange die Oberflaͤche horizontal bleibt, ungebrochen nach O zum Auge gelangt, weil er die Oberflaͤche ſenkrecht trifft; wenn die Oberflaͤche die Lage DE annimmt, ſo gelangt dieſer Strahl AB nicht mehr zum Auge, ſondern wird vom Einfallslothe BG abwaͤrts in der Luft nach P gebrochen und ein andrer Strahl AH koͤmmt, bei H gebrochen, zum Auge, ſo daß dieſes den Punct A nun ſo ſieht, als ob er nach a fortgeruͤckt waͤre.","norm":"Ich will dies nur für den (Fig. 53.) von A ausgehenden Strahl zeigen, der, solange die Oberfläche horizontal bleibt, ungebrochen nach O zum Auge gelangt, weil er die Oberfläche senkrecht trifft; wenn die Oberfläche die Lage DE annimmt, so gelangt dieser Strahl AB nicht mehr zum Auge, sondern wird vom Einfallslot BG abwärts in der Luft nach P gebrochen und ein anderer Strahl AH kommt, bei H gebrochen, zum Auge, so 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+{"basename":"brandes_naturlehre02_1831","par_idx":1025,"date":1831,"orig":"— Theoretiſche Betrachtungen, die ich hier noch nicht anfuͤhren kann, laſſen ſchließen, daß es ſo ſein muß. —","norm":"— Theoretische Betrachtungen, die ich hier noch nicht anführen kann, lassen schließen, dass es so sein muss . 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+{"basename":"brandes_naturlehre02_1831","par_idx":1026,"date":1831,"orig":"Nach dieſem Geſetze laͤßt ſich nun zuerſt fuͤr parallele Oberflaͤchen der ganze Weg des Strahles zeichnen.","norm":"Nach diesem Gesetze lässt sich nun zuerst für parallele Oberflächen der ganze Weg des Strahles 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ABCD Glas, in welches der Strahl EF eintritt, ſo muß NO = ⅔ LM ſein, um die richtige Richtung des Strahles FG im Glaſe zu erhalten.","norm":"Es sei (Fig. 56.) ABCD Glas, in welches der Strahl EF eintritt, so muss NO = 2/3 LM sein, um die richtige Richtung des Strahles FG im Glase zu erhalten.","orig_tok":["Es","ſei","(","Fig.","56.",")","ABCD","Glas",",","in","welches","der","Strahl","EF","eintritt",",","ſo","muß","NO","=","⅔","LM","ſein",",","um","die","richtige","Richtung","des","Strahles","FG","im","Glaſe","zu","erhalten","."],"norm_tok":["Es","sei","(","Fig",".","56.",")","ABCD","Glas",",","in","welches","der","Strahl","EF","eintritt",",","so","muss","NO","="," ","2","/","3"," ","LM","sein",",","um","die","richtige","Richtung","des","Strahles","FG","im","Glase","zu","erhalten","."],"orig_spans":[[0,2],[3,6],[7,8],[8,12],[13,16],[16,17],[18,22],[23,27],[27,28],[29,31],[32,39],[40,43],[44,50],[51,53],[54,62],[62,63],[64,66],[67,70],[71,73],[74,75],[76,77],[78,80],[81,85],[85,86],[87,89],[90,93],[94,102],[103,111],[112,115],[116,124],[125,127],[128,130],[131,136],[137,139],[140,148],[148,149]],"norm_spans":[[0,2],[3,6],[7,8],[8,11],[11,12],[13,16],[16,17],[18,22],[23,27],[27,28],[29,31],[32,39],[40,43],[44,50],[51,53],[54,62],[62,63],[64,66],[67,71],[72,74],[75,76],[77,78],[78,79],[79,80],[80,81],[82,83],[83,85],[86,90],[90,91],[92,94],[95,98],[99,107],[108,116],[117,120],[121,129],[130,132],[133,135],[136,141],[142,144],[145,153],[153,154]],"alignment":[[0,0],[1,1],[2,2],[3,3],[3,4],[4,5],[5,6],[6,7],[7,8],[8,9],[9,10],[10,11],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,null],[21,null],[null,21],[null,22],[null,23],[null,24],[null,25],[null,26],[22,27],[23,28],[24,29],[25,30],[26,31],[27,32],[28,33],[29,34],[30,35],[31,36],[32,37],[33,38],[34,39],[35,40]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.245900154113769} +{"basename":"brandes_naturlehre02_1831","par_idx":1028,"date":1831,"orig":"Bei G trete der Strahl in Waſſer uͤber, ſo muß no = [Formel] lm ſein; und GH iſt dann der richtig gezeichnete Strahl.","norm":"Bei G trete der Strahl in Wasser über, so muss no = [Formel] lm sein; und GH ist dann der richtig gezeichnete Strahl.","orig_tok":["Bei","G","trete","der","Strahl","in","Waſſer","uͤber",",","ſo","muß","no","=","[Formel]","lm","ſein",";","und","GH","iſt","dann","der","richtig","gezeichnete","Strahl","."],"norm_tok":["Bei","G","trete","der","Strahl","in","Wasser","über",",","so","muss","no","=","[","Formel","]","lm","sein",";","und","GH","ist","dann","der","richtig","gezeichnete","Strahl","."],"orig_spans":[[0,3],[4,5],[6,11],[12,15],[16,22],[23,25],[26,32],[33,38],[38,39],[40,42],[43,46],[47,49],[50,51],[52,60],[61,63],[64,68],[68,69],[70,73],[74,76],[77,80],[81,85],[86,89],[90,97],[98,109],[110,116],[116,117]],"norm_spans":[[0,3],[4,5],[6,11],[12,15],[16,22],[23,25],[26,32],[33,37],[37,38],[39,41],[42,46],[47,49],[50,51],[52,53],[53,59],[59,60],[61,63],[64,68],[68,69],[70,73],[74,76],[77,80],[81,85],[86,89],[90,97],[98,109],[110,116],[116,117]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[13,14],[13,15],[14,16],[15,17],[16,18],[17,19],[18,20],[19,21],[20,22],[21,23],[22,24],[23,25],[24,26],[25,27]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.167500019073486} +{"basename":"brandes_naturlehre02_1831","par_idx":1029,"date":1831,"orig":"Bei H trete der Strahl durch die Ebne PQ wieder in die Luft hervor, ſo iſt nIoI = [Formel] lImI, und es laͤßt ſich nun leicht zeigen, daß, wenn alle Trennungsflaͤchen parallel waren, der wieder in die Luft hervorgegangene Strahl eine mit dem einfallenden Strahle parallele Richtung erlangt hat . Allemal alſo wird der durch eine Folge von Koͤrpern gegangene Strahl, wenn alle Trennungsflaͤchen parallel waren, ſeiner anfaͤnglichen Richtung parallel, wenn er wieder in dasjenige brechende Mittel, in dieſelbe Art von Koͤrper gelangt, aus welcher er in jene Schichte uͤbergegangen war.","norm":"Bei H trete der Strahl durch die Ebene PQ wieder in die Luft hervor, so ist nIoI = [Formel] lImI, und es lässt sich nun leicht zeigen, dass, wenn alle Trennungsflächen parallel waren, der wieder in die Luft hervorgegangene Strahl eine mit dem einfallenden Strahle parallele Richtung erlangt hat . 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+{"basename":"brandes_naturlehre02_1831","par_idx":1036,"date":1831,"orig":"Gewoͤhnlich bedient man ſich des dreiſeitigen Prisma's, eines Koͤrpers, deſſen Grundflaͤchen parallele Drei-Ecke ſind, und deſſen Seitenlinien unter einander parallel und gewoͤhnlich ſenkrecht gegen die dreiſeitigen Grundflaͤchen ſind; indeß koͤmmt es nur darauf an, daß zwei Seitenflaͤchen unter einem nicht zu kleinen Winkel gegen einander geneigt ſind; ſtatt der dritten Seitenflaͤche koͤnnten zwei oder mehr Seitenflaͤchen da ſein.","norm":"Gewöhnlich bedient man sich des dreiseitigen Prismas, eines Körpers, dessen Grundflächen parallele Dreiecke sind, und dessen Seitenlinien untereinander parallel und gewöhnlich senkrecht gegen die dreiseitigen Grundflächen sind; indes kommt es nur darauf an, dass zwei Seitenflächen unter einem nicht zu kleinen Winkel gegen einander geneigt sind; statt der dritten Seitenfläche könnten zwei oder mehr Seitenflächen da sein.","orig_tok":["Gewoͤhnlich","bedient","man","ſich","des","dreiſeitigen","Prisma's",",","eines","Koͤrpers",",","deſſen","Grundflaͤchen","parallele","Drei-Ecke","ſind",",","und","deſſen","Seitenlinien","unter","einander","parallel","und","gewoͤhnlich","ſenkrecht","gegen","die","dreiſeitigen","Grundflaͤchen","ſind",";","indeß","koͤmmt","es","nur","darauf","an",",","daß","zwei","Seitenflaͤchen","unter","einem","nicht","zu","kleinen","Winkel","gegen","einander","geneigt","ſind",";","ſtatt","der","dritten","Seitenflaͤche","koͤnnten","zwei","oder","mehr","Seitenflaͤchen","da","ſein","."],"norm_tok":["Gewöhnlich","bedient","man","sich","des","dreiseitigen","Prismas",",","eines","Körpers",",","dessen","Grundflächen","parallele","Dreiecke","sind",",","und","dessen","Seitenlinien","untereinander","parallel","und","gewöhnlich","senkrecht","gegen","die","dreiseitigen","Grundflächen","sind",";","indes","kommt","es","nur","darauf","an",",","dass","zwei","Seitenflächen","unter","einem","nicht","zu","kleinen","Winkel","gegen","einander","geneigt","sind",";","statt","der","dritten","Seitenfläche","könnten","zwei","oder","mehr","Seitenflächen","da","sein","."],"orig_spans":[[0,11],[12,19],[20,23],[24,28],[29,32],[33,45],[46,54],[54,55],[56,61],[62,70],[70,71],[72,78],[79,92],[93,102],[103,112],[113,117],[117,118],[119,122],[123,129],[130,142],[143,148],[149,157],[158,166],[167,170],[171,182],[183,192],[193,198],[199,202],[203,215],[216,229],[230,234],[234,235],[236,241],[242,248],[249,251],[252,255],[256,262],[263,265],[265,266],[267,270],[271,275],[276,290],[291,296],[297,302],[303,308],[309,311],[312,319],[320,326],[327,332],[333,341],[342,349],[350,354],[354,355],[356,361],[362,365],[366,373],[374,387],[388,396],[397,401],[402,406],[407,411],[412,426],[427,429],[430,434],[434,435]],"norm_spans":[[0,10],[11,18],[19,22],[23,27],[28,31],[32,44],[45,52],[52,53],[54,59],[60,67],[67,68],[69,75],[76,88],[89,98],[99,107],[108,112],[112,113],[114,117],[118,124],[125,137],[138,151],[152,160],[161,164],[165,175],[176,185],[186,191],[192,195],[196,208],[209,221],[222,226],[226,227],[228,233],[234,239],[240,242],[243,246],[247,253],[254,256],[256,257],[258,262],[263,267],[268,281],[282,287],[288,293],[294,299],[300,302],[303,310],[311,317],[318,323],[324,332],[333,340],[341,345],[345,346],[347,352],[353,356],[357,364],[365,377],[378,385],[386,390],[391,395],[396,400],[401,414],[415,417],[418,422],[422,423]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,20],[22,21],[23,22],[24,23],[25,24],[26,25],[27,26],[28,27],[29,28],[30,29],[31,30],[32,31],[33,32],[34,33],[35,34],[36,35],[37,36],[38,37],[39,38],[40,39],[41,40],[42,41],[43,42],[44,43],[45,44],[46,45],[47,46],[48,47],[49,48],[50,49],[51,50],[52,51],[53,52],[54,53],[55,54],[56,55],[57,56],[58,57],[59,58],[60,59],[61,60],[62,61],[63,62],[64,63]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.54390001296997} +{"basename":"brandes_naturlehre02_1831","par_idx":1037,"date":1831,"orig":"Das Prisma wird ſo gehalten, daß der Lichtſtrahl ziemlich nahe ſenkrecht gegen die des Prisma's Laͤnge darſtellenden Ecklinien iſt, und ich habe daher nur noͤthig, den dreiſeitigen Querſchnitt des Prisma's ZXY zu zeichnen.","norm":"Das Prisma wird so gehalten, dass der Lichtstrahl ziemlich nahe senkrecht gegen die des Prismas Länge darstellenden Ecklinien ist, und ich habe daher nur nötig, den dreiseitigen Querschnitt des Prismas ZXY zu zeichnen.","orig_tok":["Das","Prisma","wird","ſo","gehalten",",","daß","der","Lichtſtrahl","ziemlich","nahe","ſenkrecht","gegen","die","des","Prisma's","Laͤnge","darſtellenden","Ecklinien","iſt",",","und","ich","habe","daher","nur","noͤthig",",","den","dreiſeitigen","Querſchnitt","des","Prisma's","ZXY","zu","zeichnen","."],"norm_tok":["Das","Prisma","wird","so","gehalten",",","dass","der","Lichtstrahl","ziemlich","nahe","senkrecht","gegen","die","des","Prismas","Länge","darstellenden","Ecklinien","ist",",","und","ich","habe","daher","nur","nötig",",","den","dreiseitigen","Querschnitt","des","Prismas","ZXY","zu","zeichnen","."],"orig_spans":[[0,3],[4,10],[11,15],[16,18],[19,27],[27,28],[29,32],[33,36],[37,48],[49,57],[58,62],[63,72],[73,78],[79,82],[83,86],[87,95],[96,102],[103,116],[117,126],[127,130],[130,131],[132,135],[136,139],[140,144],[145,150],[151,154],[155,162],[162,163],[164,167],[168,180],[181,192],[193,196],[197,205],[206,209],[210,212],[213,221],[221,222]],"norm_spans":[[0,3],[4,10],[11,15],[16,18],[19,27],[27,28],[29,33],[34,37],[38,49],[50,58],[59,63],[64,73],[74,79],[80,83],[84,87],[88,95],[96,101],[102,115],[116,125],[126,129],[129,130],[131,134],[135,138],[139,143],[144,149],[150,153],[154,159],[159,160],[161,164],[165,177],[178,189],[190,193],[194,201],[202,205],[206,208],[209,217],[217,218]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.419099807739258} +{"basename":"brandes_naturlehre02_1831","par_idx":1038,"date":1831,"orig":"Faͤllt nun hier ein Lichtſtrahl in der Richtung (Fig. 58.) AB auf, ſo wird er innerhalb des dichteren Koͤrpers nach BC gebrochen fortgehen, und in C abermals gebrochen die Richtung CD annehmen, ſo daß ein Auge in D den Gegenſtand A in der Richtung DE, anſcheinend weit von ſeinem wahren Orte weggeruͤckt, ſieht.","norm":"Fällt nun hier ein Lichtstrahl in der Richtung (Fig. 58.) AB auf, so wird er innerhalb des dichteren Körpers nach BC gebrochen fortgehen, und in C abermals gebrochen die Richtung CD annehmen, so dass ein Auge in D den Gegenstand A in der Richtung DE, anscheinend weit von seinem wahren Orte weggerückt, sieht.","orig_tok":["Faͤllt","nun","hier","ein","Lichtſtrahl","in","der","Richtung","(","Fig.","58.",")","AB","auf",",","ſo","wird","er","innerhalb","des","dichteren","Koͤrpers","nach","BC","gebrochen","fortgehen",",","und","in","C","abermals","gebrochen","die","Richtung","CD","annehmen",",","ſo","daß","ein","Auge","in","D","den","Gegenſtand","A","in","der","Richtung","DE",",","anſcheinend","weit","von","ſeinem","wahren","Orte","weggeruͤckt",",","ſieht","."],"norm_tok":["Fällt","nun","hier","ein","Lichtstrahl","in","der","Richtung","(","Fig",".","58.",")","AB","auf",",","so","wird","er","innerhalb","des","dichteren","Körpers","nach","BC","gebrochen","fortgehen",",","und","in","C","abermals","gebrochen","die","Richtung","CD","annehmen",",","so","dass","ein","Auge","in","D","den","Gegenstand","A","in","der","Richtung","DE",",","anscheinend","weit","von","seinem","wahren","Orte","weggerückt",",","sieht","."],"orig_spans":[[0,6],[7,10],[11,15],[16,19],[20,31],[32,34],[35,38],[39,47],[48,49],[49,53],[54,57],[57,58],[59,61],[62,65],[65,66],[67,69],[70,74],[75,77],[78,87],[88,91],[92,101],[102,110],[111,115],[116,118],[119,128],[129,138],[138,139],[140,143],[144,146],[147,148],[149,157],[158,167],[168,171],[172,180],[181,183],[184,192],[192,193],[194,196],[197,200],[201,204],[205,209],[210,212],[213,214],[215,218],[219,229],[230,231],[232,234],[235,238],[239,247],[248,250],[250,251],[252,263],[264,268],[269,272],[273,279],[280,286],[287,291],[292,303],[303,304],[305,310],[310,311]],"norm_spans":[[0,5],[6,9],[10,14],[15,18],[19,30],[31,33],[34,37],[38,46],[47,48],[48,51],[51,52],[53,56],[56,57],[58,60],[61,64],[64,65],[66,68],[69,73],[74,76],[77,86],[87,90],[91,100],[101,108],[109,113],[114,116],[117,126],[127,136],[136,137],[138,141],[142,144],[145,146],[147,155],[156,165],[166,169],[170,178],[179,181],[182,190],[190,191],[192,194],[195,199],[200,203],[204,208],[209,211],[212,213],[214,217],[218,228],[229,230],[231,233],[234,237],[238,246],[247,249],[249,250],[251,262],[263,267],[268,271],[272,278],[279,285],[286,290],[291,301],[301,302],[303,308],[308,309]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[9,10],[10,11],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[24,25],[25,26],[26,27],[27,28],[28,29],[29,30],[30,31],[31,32],[32,33],[33,34],[34,35],[35,36],[36,37],[37,38],[38,39],[39,40],[40,41],[41,42],[42,43],[43,44],[44,45],[45,46],[46,47],[47,48],[48,49],[49,50],[50,51],[51,52],[52,53],[53,54],[54,55],[55,56],[56,57],[57,58],[58,59],[59,60],[60,61]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.978899955749512} +{"basename":"brandes_naturlehre02_1831","par_idx":1039,"date":1831,"orig":"Wenn das Prisma von einem Glaſe iſt, bei dem das Brechungsverhaͤltniß 1 zu ⅔ ſtatt findet, ſo zeichnet man den Weg des Lichtſtrahles genau, wenn man um B einen Kreis zeichnet und die Senkrechte LM auf das Einfallsloth OBE zieht, dann aber NO = ⅔ LM nimmt, um die Richtung des Strahles BC zu beſtimmen.","norm":"Wenn das Prisma von einem Glase ist, bei dem das Brechungsverhältnis 1 zu 2/3 stattfindet, so zeichnet man den Weg des Lichtstrahles genau, wenn man um B einen Kreis zeichnet und die Senkrechte LM auf das Einfallslot ob zieht, dann aber NO = 2/3 LM nimmt, um die Richtung des Strahles BC zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":1041,"date":1831,"orig":"Es erhellt hier leicht, daß die Groͤße der durch das Prisma beobachteten Brechung bei gleichem Einfallswinkel von dem Winkel Z, den man den brechenden Winkel des Prisma's nennt, abhaͤngt, indem ſie geringe iſt, wenn Z eine ſehr geringe Groͤße hat.","norm":"Es erhellt hier leicht, dass die Größe der durch das Prisma beobachteten Brechung bei gleichem Einfallswinkel von dem Winkel Z, den man den brechenden Winkel des Prismas nennt, abhängt, indem sie geringe ist, wenn Z eine sehr geringe Größe 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+{"basename":"brandes_naturlehre02_1831","par_idx":1042,"date":1831,"orig":"Aber auch ein zweites Geſetz laͤßt ſich leicht uͤberſehen, naͤmlich, daß die geſammte Ablenkung des Strahles fuͤr einen beſtimmten Winkel Z, das heißt, wenn man immer daſſelbe Prisma anwendet, dann am kleinſten wird, wenn der im Innern des Prisma's fortgehende Strahl BC (Fig. 59.) ein Drei-Eck, deſſen Seiten ZB = ZC gleich ſind, abſchneidet.","norm":"Aber auch ein zweites Gesetz lässt sich leicht übersehen, nämlich, dass die gesamte Ablenkung des Strahles für einen bestimmten Winkel Z, das heißt, wenn man immer dasselbe Prisma anwendet, dann am kleinsten wird, wenn der im Inneren des Prismas fortgehende Strahl BC (Fig . 59.) ein Dreieck, dessen Seiten ZB = ZC gleich sind, abschneidet.","orig_tok":["Aber","auch","ein","zweites","Geſetz","laͤßt","ſich","leicht","uͤberſehen",",","naͤmlich",",","daß","die","geſammte","Ablenkung","des","Strahles","fuͤr","einen","beſtimmten","Winkel","Z",",","das","heißt",",","wenn","man","immer","daſſelbe","Prisma","anwendet",",","dann","am","kleinſten","wird",",","wenn","der","im","Innern","des","Prisma's","fortgehende","Strahl","BC","(","Fig.","59.",")","ein","Drei-Eck",",","deſſen","Seiten","ZB","=","ZC","gleich","ſind",",","abſchneidet","."],"norm_tok":["Aber","auch","ein","zweites","Gesetz","lässt","sich","leicht","übersehen",",","nämlich",",","dass","die","gesamte","Ablenkung","des","Strahles","für","einen","bestimmten","Winkel","Z",",","das","heißt",",","wenn","man","immer","dasselbe","Prisma","anwendet",",","dann","am","kleinsten","wird",",","wenn","der","im","Inneren","des","Prismas","fortgehende","Strahl","BC","(","Fig",".","59.",")","ein","Dreieck",",","dessen","Seiten","ZB","=","ZC","gleich","sind",",","abschneidet","."],"orig_spans":[[0,4],[5,9],[10,13],[14,21],[22,28],[29,34],[35,39],[40,46],[47,57],[57,58],[59,67],[67,68],[69,72],[73,76],[77,85],[86,95],[96,99],[100,108],[109,113],[114,119],[120,130],[131,137],[138,139],[139,140],[141,144],[145,150],[150,151],[152,156],[157,160],[161,166],[167,175],[176,182],[183,191],[191,192],[193,197],[198,200],[201,210],[211,215],[215,216],[217,221],[222,225],[226,228],[229,235],[236,239],[240,248],[249,260],[261,267],[268,270],[271,272],[272,276],[277,280],[280,281],[282,285],[286,294],[294,295],[296,302],[303,309],[310,312],[313,314],[315,317],[318,324],[325,329],[329,330],[331,342],[342,343]],"norm_spans":[[0,4],[5,9],[10,13],[14,21],[22,28],[29,34],[35,39],[40,46],[47,56],[56,57],[58,65],[65,66],[67,71],[72,75],[76,83],[84,93],[94,97],[98,106],[107,110],[111,116],[117,127],[128,134],[135,136],[136,137],[138,141],[142,147],[147,148],[149,153],[154,157],[158,163],[164,172],[173,179],[180,188],[188,189],[190,194],[195,197],[198,207],[208,212],[212,213],[214,218],[219,222],[223,225],[226,233],[234,237],[238,245],[246,257],[258,264],[265,267],[268,269],[269,272],[273,274],[275,278],[278,279],[280,283],[284,291],[291,292],[293,299],[300,306],[307,309],[310,311],[312,314],[315,321],[322,326],[326,327],[328,339],[339,340]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[49,50],[50,51],[51,52],[52,53],[53,54],[54,55],[55,56],[56,57],[57,58],[58,59],[59,60],[60,61],[61,62],[62,63],[63,64],[64,65]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.378900051116943} +{"basename":"brandes_naturlehre02_1831","par_idx":1043,"date":1831,"orig":"In dieſem Falle naͤmlich ſind offenbar die Brechungen bei B und C gleich, der Winkel, den BC mit AB macht, iſt ebenſo groß als der, den BC mit CD bildet.","norm":"In diesem Falle nämlich sind offenbar die Brechungen bei B und C gleich, der Winkel, den BC mit AB macht, ist ebenso groß als der, den BC mit CD bildet.","orig_tok":["In","dieſem","Falle","naͤmlich","ſind","offenbar","die","Brechungen","bei","B","und","C","gleich",",","der","Winkel",",","den","BC","mit","AB","macht",",","iſt","ebenſo","groß","als","der",",","den","BC","mit","CD","bildet","."],"norm_tok":["In","diesem","Falle","nämlich","sind","offenbar","die","Brechungen","bei","B","und","C","gleich",",","der","Winkel",",","den","BC","mit","AB","macht",",","ist","ebenso","groß","als","der",",","den","BC","mit","CD","bildet","."],"orig_spans":[[0,2],[3,9],[10,15],[16,24],[25,29],[30,38],[39,42],[43,53],[54,57],[58,59],[60,63],[64,65],[66,72],[72,73],[74,77],[78,84],[84,85],[86,89],[90,92],[93,96],[97,99],[100,105],[105,106],[107,110],[111,117],[118,122],[123,126],[127,130],[130,131],[132,135],[136,138],[139,142],[143,145],[146,152],[152,153]],"norm_spans":[[0,2],[3,9],[10,15],[16,23],[24,28],[29,37],[38,41],[42,52],[53,56],[57,58],[59,62],[63,64],[65,71],[71,72],[73,76],[77,83],[83,84],[85,88],[89,91],[92,95],[96,98],[99,104],[104,105],[106,109],[110,116],[117,121],[122,125],[126,129],[129,130],[131,134],[135,137],[138,141],[142,144],[145,151],[151,152]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.336699962615967} +{"basename":"brandes_naturlehre02_1831","par_idx":1044,"date":1831,"orig":"Man kann nun ſich zwei wenig von AB abweichende Lichtſtrahlen aB und aIB denken, die grade ſo gewaͤhlt ſind, daß der eine cd nach der Brechung ebenſo geneigt gegen die zweite Flaͤche ſei, als der zweite aIB gegen die erſte Flaͤche; dieſe beiden Strahlen erleiden, obgleich ſie an verſchiedenen Seiten von AB liegen, den- noch eine gleiche geſammte Brechung, indem aB in der erſten Flaͤche mehr als AB, aber in der zweiten Flaͤche weniger als AB gebrochen iſt, und fuͤr aIB das Umgekehrte genau in eben dem Maaße ſtatt findet.","norm":"Man kann nun sich zwei wenig von AB abweichende Lichtstrahlen aB und aIB denken, die gerade so gewählt sind, dass der eine cd nach der Brechung ebenso geneigt gegen die zweite Fläche sei, als der zweite aIB gegen die erste Fläche; diese beiden Strahlen erleiden, obgleich sie an verschiedenen Seiten von AB liegen, den- noch eine gleiche gesamte Brechung, indem aB in der ersten Fläche mehr als AB, aber in der zweiten Fläche weniger als AB gebrochen ist, und für aIB das Umgekehrte genau in eben dem Maße 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+{"basename":"brandes_naturlehre02_1831","par_idx":1045,"date":1831,"orig":"Der Fall, wo BC gleiche Winkel mit ZB, ZC macht, iſt alſo ein ſolcher, von welchem an, man mag von dem Strahle AB zu aB oder zu aIB uͤbergehen, die Aenderung der geſammten Brechung dieſelbe iſt; aber bei der Vergroͤßerung des Winkels, den aB mit dem Einfallslothe macht, betraͤgt die Zunahme der Brechung mehr, als die Verminderung der Brechung bei der Verkleinerung des Winkels, den cd mit dem Einfallslothe macht, und daher iſt die Richtung cd mehr von der Richtung aB verſchieden, als CD von AB verſchieden war, und eben das gilt aus denſelben Gruͤnden fuͤr den Strahl aIBcIdI, der auch mehr als ABCD gebrochen wird .","norm":"Der Fall, wo BC gleiche Winkel mit ZB, ZC macht, ist also ein solcher, von welchem an, man mag von dem Strahle AB zu aB oder zu aIB übergehen, die Änderung der gesamten Brechung dieselbe ist; aber bei der Vergrößerung des Winkels, den aB mit dem Einfallslot macht, beträgt die Zunahme der Brechung mehr, als die Verminderung der Brechung bei der Verkleinerung des Winkels, den cd mit dem Einfallslot macht, und daher ist die Richtung cd mehr von der Richtung aB verschieden, als CD von AB verschieden war, und eben das gilt aus denselben Gründen für den Strahl aIBcIdI, der auch mehr als ABCD gebrochen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1046,"date":1831,"orig":"Ein Zahlenbeiſpiel wird dies vollkommen erlaͤutern.","norm":"Ein Zahlenbeispiel wird dies vollkommen erläutern.","orig_tok":["Ein","Zahlenbeiſpiel","wird","dies","vollkommen","erlaͤutern","."],"norm_tok":["Ein","Zahlenbeispiel","wird","dies","vollkommen","erläutern","."],"orig_spans":[[0,3],[4,18],[19,23],[24,28],[29,39],[40,50],[50,51]],"norm_spans":[[0,3],[4,18],[19,23],[24,28],[29,39],[40,49],[49,50]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.885799884796143} +{"basename":"brandes_naturlehre02_1831","par_idx":1047,"date":1831,"orig":"Das Prisma habe bei Z einen Winkel von 60 Graden, ſo iſt die geſammte Brechung am kleinſten, wenn BC mit BZ und CZ Winkel von 60 Graden macht, aber damit das geſchehe, muß ABG = DCH = 41°.25' ſein; macht dagegen aB einen Winkel aBG = 40°.25', ſo macht Bc mit BZ einen Winkel von 59°.30', alſo Bc mit eZ einen Winkel von 60°.30', und der gebrochene Strahl cd iſt gegen die Seite cZ unter einem Winkel von 42°.23' geneigt, das iſt, waͤhrend aB von AB um 1 Grad abweicht, hat CD ſeine Richtung cd nur um 58 Minuten geaͤndert, und dieſe letzte Aenderung gleicht die erſtere nicht ganz aus, ſondern die Brechung iſt vergroͤßert.","norm":"Das Prisma habe bei Z einen Winkel von 60 Geraden, so ist die gesamte Brechung am kleinsten, wenn BC mit BZ und CZ Winkel von 60 Geraden macht, aber damit das geschehe, muss ABG = DCH = 41 °.25' sein; macht dagegen aB einen Winkel aBG = 40 °.25', so macht Bc mit BZ einen Winkel von 59 °.30', also Bc mit eZ einen Winkel von 60 °.30', und der gebrochene Strahl cd ist gegen die Seite cZ unter einem Winkel von 42 °.23' geneigt, das ist, während aB von AB um 1 Grad abweicht, hat CD seine Richtung cd nur um 58 Minuten geändert, und diese letzte Änderung gleicht die erstere nicht ganz aus, sondern die Brechung ist 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+{"basename":"brandes_naturlehre02_1831","par_idx":1050,"date":1831,"orig":"Wenn man die auf das Prisma einfallenden Strahlen AB (Fig. 59.) alle Winkel mit der Ebne BZ durchlaufen laͤßt, ſo erhellt aus jeder Zeichnung, die den eben vorhin erwaͤhnten Regeln gemaͤß ausgefuͤhrt wird, daß der unter einem kleinen Neigungswinkel gegen die Ebne oder unter einem großen Einfallswinkel gegen das Neigungsloth einfallende Strahl bei B ſtark, bei C wenig gebrochen wird; nimmt der Winkel ABG zu, ſo werden beide Brechungen immer mehr gleich, endlich iſt dieſe Gleichheit erreicht, und bei noch fortgehender Vergroͤßerung des Winkels ABG kommen nun die vorigen Faͤlle in umgekehrter Ordnung wieder, weil das jetzt an der andern Seitenflaͤche ſtatt findet, was vorhin an der erſten Seitenflaͤche eintrat.","norm":"Wenn man die auf das Prisma einfallenden Strahlen AB (Fig. 59.) alle Winkel mit der Ebene BZ durchlaufen lässt, so erhellt aus jeder Zeichnung, die den eben vorhin erwähnten Regeln gemäß ausgeführt wird, dass der unter einem kleinen Neigungswinkel gegen die Ebene oder unter einem großen Einfallswinkel gegen das Neigungslot einfallende Strahl bei B stark, bei C wenig gebrochen wird; nimmt der Winkel ABG zu, so werden beide Brechungen immer mehr gleich, endlich ist diese Gleichheit erreicht, und bei noch fortgehender Vergrößerung des Winkels ABG kommen nun die vorigen Fälle in umgekehrter Ordnung wieder, weil das jetzt an der anderen Seitenfläche stattfindet, was vorhin an der ersten Seitenfläche 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+{"basename":"brandes_naturlehre02_1831","par_idx":1052,"date":1831,"orig":"Um aber Ihnen nun fuͤr dieſe theoretiſche Betrachtung, die vielleicht etwas trocken iſt, auch eine practiſche Erlaͤuterung zu geben, bitte ich Sie, das Glasprisma in die Hand zu nehmen und, indem ſie hindurch ſehen, den brechenden Winkel nach unten zu halten; dann muͤſſen Sie ſtark unterwaͤrts das Auge richten, um Gegenſtaͤnde, die ebenſo hoch als das Auge liegen, zu ſehen.","norm":"Um aber Ihnen nun für diese theoretische Betrachtung, die vielleicht etwas trocken ist, auch eine praktische Erläuterung zu geben, bitte ich Sie, das Glasprisma in die Hand zu nehmen und, indem sie hindurchsehen, den brechenden Winkel nach unten zu halten; dann müssen Sie stark unterwärts das Auge richten, um Gegenstände, die ebenso hoch als das Auge liegen, zu 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übergeht.","orig_tok":["Dieſes","iſt","dann","eben","die","Stellung",",","die","wir","vorhin","betrachteten",",","die","man","daher","leicht","mit","ziemlicher","Genauigkeit","auffindet",",","wenn","man","auf","einen","beſtimmten","Punct","achtet","und","bei","der","langſamen","Drehung","des","Prisma's","die","Stellung","wahrnimmt",",","wo","das","ſcheinbare","Steigen","jenes","Punctes","in","ein","Herabgehen","uͤbergeht","."],"norm_tok":["Dieses","ist","dann","eben","die","Stellung",",","die","wir","vorhin","betrachteten",",","die","man","daher","leicht","mit","ziemlicher","Genauigkeit","auffindet",",","wenn","man","auf","einen","bestimmten","Punkt","achtet","und","bei","der","langsamen","Drehung","des","Prismas","die","Stellung","wahrnimmt",",","wo","das","scheinbare","Steigen","jenes","Punktes","in","ein","Herabgehen","übergeht","."],"orig_spans":[[0,6],[7,10],[11,15],[16,20],[21,24],[25,33],[33,34],[35,38],[39,42],[43,49],[50,62],[62,63],[64,67],[68,71],[72,77],[78,84],[85,88],[89,99],[100,111],[112,121],[121,122],[123,127],[128,131],[132,135],[136,141],[142,152],[153,158],[159,165],[166,169],[170,173],[174,177],[178,187],[188,195],[196,199],[200,208],[209,212],[213,221],[222,231],[231,232],[233,235],[236,239],[240,250],[251,258],[259,264],[265,272],[273,275],[276,279],[280,290],[291,300],[300,301]],"norm_spans":[[0,6],[7,10],[11,15],[16,20],[21,24],[25,33],[33,34],[35,38],[39,42],[43,49],[50,62],[62,63],[64,67],[68,71],[72,77],[78,84],[85,88],[89,99],[100,111],[112,121],[121,122],[123,127],[128,131],[132,135],[136,141],[142,152],[153,158],[159,165],[166,169],[170,173],[174,177],[178,187],[188,195],[196,199],[200,207],[208,211],[212,220],[221,230],[230,231],[232,234],[235,238],[239,249],[250,257],[258,263],[264,271],[272,274],[275,278],[279,289],[290,298],[298,299]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.948999881744384} 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+{"basename":"brandes_naturlehre02_1831","par_idx":1062,"date":1831,"orig":"Selbſt fuͤr fluͤſſige Koͤrper iſt dieſe Methode brauchbar, nur muß man dann ein Prisma aus feſt verbundenen Glasſcheiben, um die Fluͤſſigkeit hineinzubringen, beſitzen, oder die in der Hoͤhlung ABDC (Fig. 62.) enthaltene Fluͤſſigkeit mit zwei Glasplatten AB, CD, ſo daß keine Luft irgendwo uͤbrig bleibt, verſchließen, und den Winkel (etwa mit Huͤlfe des Reflexions-Winkelmeſſers) abmeſſen, welchen dieſe mit einander machen.","norm":"Selbst für flüssige Körper ist diese Methode brauchbar, nur muss man dann ein Prisma aus fest verbundenen Glasscheiben, um die Flüssigkeit hineinzubringen, besitzen, oder die in der Höhlung ABDC (Fig. 62.) enthaltene Flüssigkeit mit zwei Glasplatten AB, CD, so dass keine Luft irgendwo übrig bleibt, verschließen, und den Winkel (etwa mit Hilfe des Reflexions-Winkelmessers) abmessen, welchen diese miteinander 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Glasscheiben selbst eine etwas prismatische Form und man erhält daher bei der Beobachtung der Brechung durch das mit Flüssigkeit gefüllte Prisma die Brechung durch diese etwas fehlerhaft.","orig_tok":["Die","den","fluͤſſigen","Koͤrper","einſchließenden","Glasplatten","muͤſſen","genau","an","beiden","Seiten","parallel","geſchliffen","ſein",",","und","ob","ſie","das","ſind",",","erkennt","man","daran",",","daß","der","Gegenſtand",",","den","man","durch","das","bloß","mit","Luft","gefuͤllte","Prisma","ſieht",",","in","unveraͤnderter","Richtung",",","ebenſo","als","wenn","das","Prisma","ganz","weggelaſſen","wird",",","erſcheint",";","wenn","dieſes","nicht","der","Fall","iſt",",","ſo","haben","die","Glasſcheiben","ſelbſt","eine","etwas","prismatiſche","Form","und","man","erhaͤlt","daher","bei","der","Beobachtung","der","Brechung","durch","das","mit","Fluͤſſigkeit","gefuͤllte","Prisma","die","Brechung","durch","dieſe","etwas","fehlerhaft","."],"norm_tok":["Die","den","flüssigen","Körper","einschließenden","Glasplatten","müssen","genau","an","beiden","Seiten","parallel","geschliffen","sein",",","und","ob","sie","das","sind",",","erkennt","man","daran",",","dass","der","Gegenstand",",","den","man","durch","das","bloß","mit","Luft","gefüllte","Prisma","sieht",",","in","unveränderter","Richtung",",","ebenso","als","wenn","das","Prisma","ganz","weggelassen","wird",",","erscheint",";","wenn","dieses","nicht","der","Fall","ist",",","so","haben","die","Glasscheiben","selbst","eine","etwas","prismatische","Form","und","man","erhält","daher","bei","der","Beobachtung","der","Brechung","durch","das","mit","Flüssigkeit","gefüllte","Prisma","die","Brechung","durch","diese","etwas","fehlerhaft","."],"orig_spans":[[0,3],[4,7],[8,18],[19,26],[27,42],[43,54],[55,62],[63,68],[69,71],[72,78],[79,85],[86,94],[95,106],[107,111],[111,112],[113,116],[117,119],[120,123],[124,127],[128,132],[132,133],[134,141],[142,145],[146,151],[151,152],[153,156],[157,160],[161,171],[171,172],[173,176],[177,180],[181,186],[187,190],[191,195],[196,199],[200,204],[205,214],[215,221],[222,227],[227,228],[229,231],[232,246],[247,255],[255,256],[257,263],[264,267],[268,272],[273,276],[277,283],[284,288],[289,300],[301,305],[305,306],[307,316],[316,317],[318,322],[323,329],[330,335],[336,339],[340,344],[345,348],[348,349],[350,352],[353,358],[359,362],[363,375],[376,382],[383,387],[388,393],[394,406],[407,411],[412,415],[416,419],[420,427],[428,433],[434,437],[438,441],[442,453],[454,457],[458,466],[467,472],[473,476],[477,480],[481,493],[494,503],[504,510],[511,514],[515,523],[524,529],[530,535],[536,541],[542,552],[552,553]],"norm_spans":[[0,3],[4,7],[8,17],[18,24],[25,40],[41,52],[53,59],[60,65],[66,68],[69,75],[76,82],[83,91],[92,103],[104,108],[108,109],[110,113],[114,116],[117,120],[121,124],[125,129],[129,130],[131,138],[139,142],[143,148],[148,149],[150,154],[155,158],[159,169],[169,170],[171,174],[175,178],[179,184],[185,188],[189,193],[194,197],[198,202],[203,211],[212,218],[219,224],[224,225],[226,228],[229,242],[243,251],[251,252],[253,259],[260,263],[264,268],[269,272],[273,279],[280,284],[285,296],[297,301],[301,302],[303,312],[312,313],[314,318],[319,325],[326,331],[332,335],[336,340],[341,344],[344,345],[346,348],[349,354],[355,358],[359,371],[372,378],[379,383],[384,389],[390,402],[403,407],[408,411],[412,415],[416,422],[423,428],[429,432],[433,436],[437,448],[449,452],[453,461],[462,467],[468,471],[472,475],[476,487],[488,496],[497,503],[504,507],[508,516],[517,522],[523,528],[529,534],[535,545],[545,546]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87],[88,88],[89,89],[90,90],[91,91],[92,92]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.60640001296997} +{"basename":"brandes_naturlehre02_1831","par_idx":1064,"date":1831,"orig":"Um aber doch die Unſicherheit, die aus den Farben hervorgeht, welche ſich im Prisma zeigen, hier nicht ganz unerwaͤhnt zu laſſen, muß ich noch die Bemerkung beifuͤgen, daß man bei ſolchen Meſſungen immer auf eine und dieſelbe Farbe die Meſſung richten muß.","norm":"Um aber doch die Unsicherheit, die aus den Farben hervorgeht, welche sich im Prisma zeigen, hier nicht ganz unerwähnt zu lassen, muss ich noch die Bemerkung beifügen, dass man bei solchen Messungen immer auf eine und dieselbe Farbe die Messung richten 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+{"basename":"brandes_naturlehre02_1831","par_idx":1065,"date":1831,"orig":"Sie werden in der Folge ſehen, mit welcher Genauigkeit ſich die dann hervorgehenden Beſtimmungen angeben laſſen.","norm":"Sie werden in der Folge sehen, mit welcher Genauigkeit sich die dann hervorgehenden Bestimmungen angeben 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ſo fein ſie auch iſt, bringt dennoch eine Brechung des Lichtes hervor, deren Kenntniß beſonders dem Aſtronomen wichtig iſt, und auch dieſe Brechung laͤßt ſich mit Huͤlfe des hohlen Prisma's beſtimmen.","norm":"Selbst die Luft, so fein sie auch ist, bringt dennoch eine Brechung des Lichtes hervor, deren Kenntnis besonders dem Astronomen wichtig ist, und auch diese Brechung lässt sich mit Hilfe des hohlen Prismas 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seitwärts angebrachten Hahn mit Hilfe der Luftpumpe diesen Raum luftleer machen; der bei CD eindringende Lichtstrahl wird dann, indem er in verdünnte Luft oder in einen beinahe luftleeren Raum übergeht, ein wenig vom Einfallslot abwärts, und indem er bei AB wieder in die dichtere Luft gelangt, ein wenig gegen das Einfallslot zu gebrochen, und so wenig dies auch beträgt, so haben doch Biot und Arago aus solchen Versuchen die Brechung bei dem Übergange aus dem leeren Raume in die Luft genau 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weniger als Bd gegen dieſe Ebne geneigter Strahl koͤnne gar nicht mehr hervordringen.","norm":"Wäre der Strahl so wie aB eingefallen, so wäre er in der Richtung Bd nach d gekommen und es hätte sich der Regel gemäß der ausfallende Strahl dq noch zeichnen lassen; aber er hätte eine so wenig von der Ebene DE abweichende Richtung erhalten, dass man wohl einsieht, ein noch weniger als Bd gegen diese Ebene geneigter Strahl könne gar nicht mehr 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+{"basename":"brandes_naturlehre02_1831","par_idx":1081,"date":1831,"orig":"Und dieſe Strahlen nun, die gebrochen nicht mehr hervordringen koͤnnen, werden nicht bloß theilweiſe, ſondern ganz zuruͤckgeworfen, und ein Auge in H ſieht den Gegenſtand A mit dem vollen Lichte, das nur der ſchoͤnſte Spiegel gewaͤhren kann, ſtatt daß andre Gegenſtaͤnde, deren meiſte Strahlen aus dem Glaſe hervorgehend nach q gelangen, nur vermittelſt der unbedeutend wenigen Strahlen, die allemal reflectirt werden, einem in der Gegend O ſtehenden Auge ſichtbar werden.","norm":"Und diese Strahlen nun, die gebrochen nicht mehr hervordringen können, werden nicht bloß teilweise, sondern ganz zurückgeworfen, und ein Auge in H sieht den Gegenstand A mit dem vollen Lichte, das nur der schönste Spiegel gewähren kann, statt dass andere Gegenstände, deren meiste Strahlen aus dem Glase hervorgehend nach q gelangen, nur vermittels der unbedeutend wenigen Strahlen, die allemal reflektiert werden, einem in der Gegend O 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+{"basename":"brandes_naturlehre02_1831","par_idx":1091,"date":1831,"orig":"Dieſe Fluͤſſigkeit ſteht naͤmlich dem Glaſe in Ruͤckſicht auf die Brechung viel naͤher als das Waſſer, und der von Q im Terpentin-Oel kommende Strahl geht daher beinahe durchaus ungebrochen in das Glas hinein, ſo daß auch in ſehr niedrigen Stellungen dennoch das Auge dieſe Lichtſtrahlen empfaͤngt.","norm":"Diese Flüssigkeit steht nämlich dem Glase in Rücksicht auf die Brechung viel näher als das Wasser, und der von Q im Terpentinöl kommende Strahl geht daher beinahe durchaus ungebrochen in das Glas hinein, so dass auch in sehr niedrigen Stellungen dennoch das Auge diese Lichtstrahlen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1096,"date":1831,"orig":"Dieſe unregelmaͤßige Brechung hoͤrt auf, wenn der Koͤrper von einer ebenſo ſtark brechenden Fluͤſſigkeit umgeben iſt, und die Erfahrung zeigt, daß alsdann auch die ſchwache Reflexion, die beim Uebergange des Lichtſtrahls aus Glas in Luft, und ſchon weit ſchwaͤcher bei dem Uebergange aus Glas in Waſſer ſtatt findet, gaͤnzlich aufhoͤrt; es kann uns daher nicht wundern, wenn wir ein in Waſſer getauchtes mattgeſchliffenes Glas ſeine Durchſichtigkeit einigermaßen wieder erlangen ſehen, und beim Eintauchen in Terpentin-Oel, welches die Lichtſtrahlen faſt ebenſo ſtark bricht als das Glas, die Durchſichtigkeit faſt voͤllig hergeſtellt finden.","norm":"Diese unregelmäßige Brechung hört auf, wenn der Körper von einer ebenso stark brechenden Flüssigkeit umgeben ist, und die Erfahrung zeigt, dass alsdann auch die schwache Reflexion, die beim Übergange des Lichtstrahls aus Glas in Luft, und schon weit schwächer bei dem Übergange aus Glas in Wasser stattfindet, gänzlich aufhört; es kann uns daher nicht wundern, wenn wir ein in Wasser getauchtes mattgeschliffenes Glas seine Durchsichtigkeit einigermaßen wieder erlangen sehen, und beim Eintauchen in Terpentinöl, welches die Lichtstrahlen fast ebenso stark bricht als das Glas, die Durchsichtigkeit fast völlig hergestellt 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+{"basename":"brandes_naturlehre02_1831","par_idx":1098,"date":1831,"orig":"Findet man fuͤr dieſe eine Fluͤſſigkeit oder eine Miſchung von Fluͤſſigkeiten, die ihnen ihre volle Durchſichtigkeit giebt, ſo kann man ſicher ſein, daß die Fluͤſſigkeit das Licht ebenſo ſtark, als der feſte Koͤrper, bricht.","norm":"Findet man für diese eine Flüssigkeit oder eine Mischung von Flüssigkeiten, die ihnen ihre volle Durchsichtigkeit gibt, so kann man sicher sein, dass die Flüssigkeit das Licht ebenso stark, als der feste Körper, 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+{"basename":"brandes_naturlehre02_1831","par_idx":1122,"date":1831,"orig":"Dieſes findet fuͤr alle Strahlen, weil man ſie als parallel einfallend anſehen kann, ſtatt.","norm":"Dieses findet für alle Strahlen, weil man sie als parallel einfallend ansehen kann, 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zwar beim Glaſe ſo, daß wenn ED der einfallende Strahl, CD das Einfallsloth iſt, FDG nach der Brechung anderthalbmal ſo groß iſt, als EDC vor der Brechung.","norm":"An der zweiten Oberfläche aber werden die Strahlen vom Einfallslot abwärts gebrochen, und zwar beim Glase so, dass wenn ED der einfallende Strahl, CD das Einfallslot ist, FDG nach der Brechung anderthalbmal so groß ist, als EDC vor der 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+{"basename":"brandes_naturlehre02_1831","par_idx":1125,"date":1831,"orig":"Der Brennpunct G liegt alſo doppelt ſo weit hinter dem Glaſe, als der Mittelpunct C vor dem Glaſe, und in dieſem Brennpuncte vereinigen ſich diejenigen Strahlen am genaueſten, die nur wenig von der Axe CG entfernt einfallen, die entfernteren wuͤrden, wenn man dem Glaſe eine zu große Breite gaͤbe, ſich nicht genau in eben dem Puncte vereinigen und daher eine Erleuchtung in benachbarten Puncten, damit zugleich aber eine Undeutlichkeit des Bildes, bewirken.","norm":"Der Brennpunkt G liegt also doppelt so weit hinter dem Glase, als der Mittelpunkt C vor dem Glase, und in diesem Brennpunkte vereinigen sich diejenigen Strahlen am genauesten, die nur wenig von der Achse CG entfernt einfallen, die entfernteren würden, wenn man dem Glase eine zu große Breite gäbe, sich nicht genau in eben dem Punkte vereinigen und daher eine Erleuchtung in benachbarten Punkten, damit zugleich aber eine Undeutlichkeit des Bildes, 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+{"basename":"brandes_naturlehre02_1831","par_idx":1128,"date":1831,"orig":"Eine planconvexe Diamantlinſe dagegen, wo das Brechungsverhaͤltniß I zu [Formel] iſt, giebt den Winkel FDGI = [Formel] DCGI, und CGI = [Formel] GID, oder CGI = [Formel] GIH, ſo daß GIH nur ⅔ CH wird, oder CH drei ſolche Theile, CGI fuͤnf ſolche Theile enthaͤlt, deren zwei ſich in GIH finden.","norm":"Eine plankonvexe Diamantlinse dagegen, wo das Brechungsverhältnis I zu [Formel] ist, gibt den Winkel FDGI = [Formel] DCGI, und Chi = [Formel] GID, oder Chi = [Formel] GIH, so dass GIH nur 2/3 CH wird, oder CH drei solche Teile, Chi fünf solche Teile enthält, deren zwei sich in GIH 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+{"basename":"brandes_naturlehre02_1831","par_idx":1129,"date":1831,"orig":"Eine Diamantlinſe hat alſo eine ſehr kurze Brennweite.","norm":"Eine Diamantlinse hat also eine sehr kurze Brennweite.","orig_tok":["Eine","Diamantlinſe","hat","alſo","eine","ſehr","kurze","Brennweite","."],"norm_tok":["Eine","Diamantlinse","hat","also","eine","sehr","kurze","Brennweite","."],"orig_spans":[[0,4],[5,17],[18,21],[22,26],[27,31],[32,36],[37,42],[43,53],[53,54]],"norm_spans":[[0,4],[5,17],[18,21],[22,26],[27,31],[32,36],[37,42],[43,53],[53,54]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.860599994659424} +{"basename":"brandes_naturlehre02_1831","par_idx":1130,"date":1831,"orig":"Wenn die Linſe an beiden Seiten eine gleiche Convexitaͤt hat oder gleichſeitig iſt, ſo giebt — wenn es eine Glaslinſe iſt — ein Punct H der um den doppelten Halbmeſſer der Kugelflaͤche vor dem Glaſe liegt, (Fig. 64.) ein Bild I ebenſo entfernt hinter dem Glaſe, indem dann der von H kommende Lichtſtrahl im Innern der Linſe mit der Axe parallel iſt.","norm":"Wenn die Linse an beiden Seiten eine gleiche Konvexität hat oder gleichseitig ist, so gibt — wenn es eine Glaslinse ist — ein Punkt H der um den doppelten Halbmesser der Kugelfläche vor dem Glase liegt, (Fig. 64.) ein Bild I ebenso entfernt hinter dem Glase, indem dann der von H kommende Lichtstrahl im Inneren der Linse mit der Achse parallel 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gleich.","orig_tok":["Die","Brennweite","eines","ſolchen","Glaſes","iſt","halb","ſo","groß","oder","dem","Halbmeſſer","der","Kugelflaͤche","gleich","."],"norm_tok":["Die","Brennweite","eines","solchen","Glases","ist","halb","so","groß","oder","dem","Halbmesser","der","Kugelfläche","gleich","."],"orig_spans":[[0,3],[4,14],[15,20],[21,28],[29,35],[36,39],[40,44],[45,47],[48,52],[53,57],[58,61],[62,72],[73,76],[77,89],[90,96],[96,97]],"norm_spans":[[0,3],[4,14],[15,20],[21,28],[29,35],[36,39],[40,44],[45,47],[48,52],[53,57],[58,61],[62,72],[73,76],[77,88],[89,95],[95,96]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.32420015335083} +{"basename":"brandes_naturlehre02_1831","par_idx":1132,"date":1831,"orig":"In jedem andern Falle erhaͤlt man bei Glaslinſen die Brennweite, wenn man die Zahlen, welche die Halbmeſſer beider Linſen angeben, in einander multiplicirt und mit der halben Summe der Halbmeſſer dividirt, und dieſes iſt genau fuͤr Glaͤſer, deren Brechungsverhaͤltniß 1 zu 1½ iſt.","norm":"In jedem anderen Falle erhält man bei Glaslinsen die Brennweite, wenn man die Zahlen, welche die Halbmesser beider Linsen angeben, ineinander multipliziert und mit der halben Summe der Halbmesser dividiert, und dieses ist genau für Gläser, deren Brechungsverhältnis 1 zu 11/2 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+{"basename":"brandes_naturlehre02_1831","par_idx":1133,"date":1831,"orig":"Noch in einem zweiten Falle laͤßt ſich der Punct, wo die Lichtſtrahlen geſammelt werden, leicht finden, naͤmlich wenn ein großer Glaskoͤrper nur an ſeiner Vorderflaͤche ſphaͤriſch gerundet iſt, und die Lichtſtrahlen ſich innerhalb des Glaſes vereinigen, — ein Fall, der freilich auf dieſe Weiſe eben nicht vorkoͤmmt.","norm":"Noch in einem zweiten Falle lässt sich der Punkt, wo die Lichtstrahlen gesammelt werden, leicht finden, nämlich wenn ein großer Glaskörper nur an seiner Vorderfläche sphärisch gerundet ist, und die Lichtstrahlen sich innerhalb des Glases vereinigen, — ein Fall, der freilich auf diese Weise eben nicht 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Hieran knuͤpft ſich ziemlich leicht die eben angefuͤhrte allgemeine Beſtimmung fuͤr Glaͤſer, die an beiden Seiten convex ſind; aber da es hier nur meine Abſicht iſt, die Wege anzudeuten, die man verfolgen muß, um zu genauen Beſtimmungen zu gelangen, nicht aber die meſſenden oder rechnenden Beſtimmungen ſtrenge in Zahlen nachzuweiſen, ſo breche ich dieſe geometriſche Betrachtung ab.","norm":"Hier wird (Fig. 66.) wenn C der Mittelpunkt, ED der einfallende Strahl, De dessen gerade Verlängerung ist, der Winkel CDG = ⅔ Cde, und weil Cde = Akt ist, auch CG = 2/3 GD, oder fast genau CG = 2/3 Geo, also der Punkt G, wo die seitwärts einfallenden Strahlen die Achse erreichen, dreimal so weit als C hinter dem Einfallspunkte A. 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+{"basename":"brandes_naturlehre02_1831","par_idx":1138,"date":1831,"orig":"Die mit ab parallel einfallenden Strahlen werden, wenn ihre Neigung gegen die Axe nicht allzu groß iſt, in eben der Entfernung Hg = HG hinter dem Glaſe geſammelt, und in Gg ſtellt ſich alſo ein Bild des entfernten Gegenſtandes dar, deſſen Endpuncte durch die Linien CH, ab getroffen werden.","norm":"Die mit ab parallel einfallenden Strahlen werden, wenn ihre Neigung gegen die Achse nicht allzu groß ist, in eben der Entfernung Hg = HG hinter dem Glase gesammelt, und in Gg stellt sich also ein Bild des entfernten Gegenstandes dar, dessen Endpunkte durch die Linien CH, ab getroffen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1139,"date":1831,"orig":"Bei concaven Glaͤſern findet ein ſolcher Vereinigungspunct nicht ſtatt.","norm":"Bei konkaven Gläsern findet ein solcher Vereinigungspunkt nicht statt.","orig_tok":["Bei","concaven","Glaͤſern","findet","ein","ſolcher","Vereinigungspunct","nicht","ſtatt","."],"norm_tok":["Bei","konkaven","Gläsern","findet","ein","solcher","Vereinigungspunkt","nicht","statt","."],"orig_spans":[[0,3],[4,12],[13,21],[22,28],[29,32],[33,40],[41,58],[59,64],[65,70],[70,71]],"norm_spans":[[0,3],[4,12],[13,20],[21,27],[28,31],[32,39],[40,57],[58,63],[64,69],[69,70]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.1981000900268555} +{"basename":"brandes_naturlehre02_1831","par_idx":1140,"date":1831,"orig":"Parallel mit der Axe einfallende Strahlen AD werden hier (Fig. 67.) ſo wohl beim Eintritt als beim Austritt von der Axe abwaͤrts gebrochen; denn beim Eintritt wird der Winkel ADI, den der ungebrochene Strahl mit dem Einfallslothe DI macht, verkleinert, FDi kleiner als ADI, alſo DF von der Axe abwaͤrts gelenkt; und beim Austritt, wo FK das Einfallsloth iſt, bringt die Vergroͤßerung des Winkels, indem DF nicht nach L, ſondern nach G fortgeht, auch eine Entfernung von der Axe hervor.","norm":"Parallel mit der Achse einfallende Strahlen AD werden hier (Fig. 67.) so wohl beim Eintritt als beim Austritt von der Achse abwärts gebrochen; denn beim Eintritt wird der Winkel ADI, den der ungebrochene Strahl mit dem Einfallslot DI macht, verkleinert, Fdi kleiner als ADI, also DF von der Achse abwärts gelenkt; und beim Austritt, wo FK das Einfallslot ist, bringt die Vergrößerung des Winkels, indem DF nicht nach L, sondern nach G fortgeht, auch eine Entfernung von der Achse 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+{"basename":"brandes_naturlehre02_1831","par_idx":1147,"date":1831,"orig":"Beſtimmung des Grades der Weiße einer weißen Flaͤche.","norm":"Bestimmung des Grades der Weiße einer weißen Fläche.","orig_tok":["Beſtimmung","des","Grades","der","Weiße","einer","weißen","Flaͤche","."],"norm_tok":["Bestimmung","des","Grades","der","Weiße","einer","weißen","Fläche","."],"orig_spans":[[0,10],[11,14],[15,21],[22,25],[26,31],[32,37],[38,44],[45,52],[52,53]],"norm_spans":[[0,10],[11,14],[15,21],[22,25],[26,31],[32,37],[38,44],[45,51],[51,52]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.367300033569336} +{"basename":"brandes_naturlehre02_1831","par_idx":1148,"date":1831,"orig":"Ehe ich zu den zuſammengeſetzteren Verbindungen der Linſenglaͤſer und den Anwendungen derſelben uͤbergehe, iſt es wohl hier der paſſendſte Ort, zu zeigen, wie Lambert mit Huͤlfe der Glaslinſen die ungleichen Grade der Weiße weißer Flaͤchen zu beſtimmen gelehrt hat.","norm":"Ehe ich zu den zusammengesetzteren Verbindungen der Linsengläser und den Anwendungen derselben übergehe, ist es wohl hier der passendste Ort, zu zeigen, wie Lambert mit Hilfe der Glaslinsen die ungleichen Grade der Weiße weißer Flächen zu bestimmen gelehrt 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+{"basename":"brandes_naturlehre02_1831","par_idx":1149,"date":1831,"orig":"Wenn man ein ſtark erleuchtetes weißes Papier als den Gegenſtand AB (Fig. 74*) anwendet, deſſen Bild ab man auf einer weißen Tafel auffangen will, ſo wird offenbar, wenn die Stellung der Linſe dieſelbe bleibt, dies Bild deſto lebhafter ſein, je ſtaͤrker das Papier erleuchtet wird und je groͤßer die Weiße des Papieres iſt; dagegen aber kann man die Erleuchtung des Bildes durch eine andre Stellung des Papieres und der Linſe nach Willkuͤr verſtaͤrken oder ſchwaͤchen, indem, wie Sie ſchon wiſſen, dadurch bald ein groͤßeres, matteres, bald ein helleres, lebhaftes Bild hervorgebracht wird.","norm":"Wenn man ein stark erleuchtetes weißes Papier als den Gegenstand AB (Fig. 74 *) anwendet, dessen Bild ab man auf einer weißen Tafel auffangen will, so wird offenbar, wenn die Stellung der Linse dieselbe bleibt, dies Bild desto lebhafter sein, je stärker das Papier erleuchtet wird und je größer die Weiße des Papieres ist; dagegen aber kann man die Erleuchtung des Bildes durch eine andere Stellung des Papieres und der Linse nach Willkür verstärken oder schwächen, indem, wie Sie schon wissen, dadurch bald ein größeres, matteres, bald ein helleres, lebhaftes Bild hervorgebracht 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geringerer, je mehr AB sich von der absoluten Weiße entfernt, als gegen die Linse EF zu ausstrahlend in Rechnung zu bringen; von diesen auf die Linse fallenden Strahlen, deren Menge man aus der Größe und Entfernung der Linse berechnen kann, sind nur [Formel] in dem Bilde ab angekommen, und so hat man alles, was zu Berechnung der Erleuchtung in ab erforderlich ist, nur die Weiße des Papieres AB 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+{"basename":"brandes_naturlehre02_1831","par_idx":1175,"date":1831,"orig":"Indem nun die Lichtſtrahlen auf die Hornhaut und durch ſie an die waͤſſerige Feuchtigkeit gelangen, werden ſie gegen die Axe des Auges zu gebrochen, und zwar ſo, daß ſie etwa 15 Linien hinter der Hornhaut ein Bild ſehr entfernter Gegenſtaͤnde darſtellen wuͤrden, wenn nicht die Linſe ſie ſtaͤrker braͤche; beim Eintritt in die Linſe und beim Austritt aus der Linſe werden ſie zu einer groͤßern Convergenz gebracht, ſo daß ſie etwa 8 Linien hinter der Linſe, das iſt, etwa 11½ Linien hinter der Hornhaut ſich zu einem Bilde vereinigen.","norm":"Indem nun die Lichtstrahlen auf die Hornhaut und durch sie an die wässerige Feuchtigkeit gelangen, werden sie gegen die Achse des Auges zu gebrochen, und zwar so, dass sie etwa 15 Linien hinter der Hornhaut ein Bild sehr entfernter Gegenstände darstellen würden, wenn nicht die Linse sie stärker bräche; beim Eintritt in die Linse und beim Austritt aus der Linse werden sie zu einer größeren Konvergenz gebracht, so dass sie etwa 8 Linien hinter der Linse, das ist, etwa 111/2 Linien hinter der Hornhaut sich zu einem Bilde vereinigen.","orig_tok":["Indem","nun","die","Lichtſtrahlen","auf","die","Hornhaut","und","durch","ſie","an","die","waͤſſerige","Feuchtigkeit","gelangen",",","werden","ſie","gegen","die","Axe","des","Auges","zu","gebrochen",",","und","zwar","ſo",",","daß","ſie","etwa","15","Linien","hinter","der","Hornhaut","ein","Bild","ſehr","entfernter","Gegenſtaͤnde","darſtellen","wuͤrden",",","wenn","nicht","die","Linſe","ſie","ſtaͤrker","braͤche",";","beim","Eintritt","in","die","Linſe","und","beim","Austritt","aus","der","Linſe","werden","ſie","zu","einer","groͤßern","Convergenz","gebracht",",","ſo","daß","ſie","etwa","8","Linien","hinter","der","Linſe",",","das","iſt",",","etwa","11½","Linien","hinter","der","Hornhaut","ſich","zu","einem","Bilde","vereinigen","."],"norm_tok":["Indem","nun","die","Lichtstrahlen","auf","die","Hornhaut","und","durch","sie","an","die","wässerige","Feuchtigkeit","gelangen",",","werden","sie","gegen","die","Achse","des","Auges","zu","gebrochen",",","und","zwar","so",",","dass","sie","etwa","15","Linien","hinter","der","Hornhaut","ein","Bild","sehr","entfernter","Gegenstände","darstellen","würden",",","wenn","nicht","die","Linse","sie","stärker","bräche",";","beim","Eintritt","in","die","Linse","und","beim","Austritt","aus","der","Linse","werden","sie","zu","einer","größeren","Konvergenz","gebracht",",","so","dass","sie","etwa","8","Linien","hinter","der","Linse",",","das","ist",",","etwa","111","/","2","Linien","hinter","der","Hornhaut","sich","zu","einem","Bilde","vereinigen","."],"orig_spans":[[0,5],[6,9],[10,13],[14,27],[28,31],[32,35],[36,44],[45,48],[49,54],[55,58],[59,61],[62,65],[66,76],[77,89],[90,98],[98,99],[100,106],[107,110],[111,116],[117,120],[121,124],[125,128],[129,134],[135,137],[138,147],[147,148],[149,152],[153,157],[158,160],[160,161],[162,165],[166,169],[170,174],[175,177],[178,184],[185,191],[192,195],[196,204],[205,208],[209,213],[214,218],[219,229],[230,242],[243,253],[254,261],[261,262],[263,267],[268,273],[274,277],[278,283],[284,287],[288,296],[297,304],[304,305],[306,310],[311,319],[320,322],[323,326],[327,332],[333,336],[337,341],[342,350],[351,354],[355,358],[359,364],[365,371],[372,375],[376,378],[379,384],[385,393],[394,404],[405,413],[413,414],[415,417],[418,421],[422,425],[426,430],[431,432],[433,439],[440,446],[447,450],[451,456],[456,457],[458,461],[462,465],[465,466],[467,471],[472,475],[476,482],[483,489],[490,493],[494,502],[503,507],[508,510],[511,516],[517,522],[523,533],[533,534]],"norm_spans":[[0,5],[6,9],[10,13],[14,27],[28,31],[32,35],[36,44],[45,48],[49,54],[55,58],[59,61],[62,65],[66,75],[76,88],[89,97],[97,98],[99,105],[106,109],[110,115],[116,119],[120,125],[126,129],[130,135],[136,138],[139,148],[148,149],[150,153],[154,158],[159,161],[161,162],[163,167],[168,171],[172,176],[177,179],[180,186],[187,193],[194,197],[198,206],[207,210],[211,215],[216,220],[221,231],[232,243],[244,254],[255,261],[261,262],[263,267],[268,273],[274,277],[278,283],[284,287],[288,295],[296,302],[302,303],[304,308],[309,317],[318,320],[321,324],[325,330],[331,334],[335,339],[340,348],[349,352],[353,356],[357,362],[363,369],[370,373],[374,376],[377,382],[383,391],[392,402],[403,411],[411,412],[413,415],[416,420],[421,424],[425,429],[430,431],[432,438],[439,445],[446,449],[450,455],[455,456],[457,460],[461,464],[464,465],[466,470],[471,474],[474,475],[475,476],[477,483],[484,490],[491,494],[495,503],[504,508],[509,511],[512,517],[518,523],[524,534],[534,535]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87],[null,88],[null,89],[88,90],[89,91],[90,92],[91,93],[92,94],[93,95],[94,96],[95,97],[96,98],[97,99]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.656699895858764} +{"basename":"brandes_naturlehre02_1831","par_idx":1176,"date":1831,"orig":"Grade hier aber, und dieſes mit ſo großer Genauigkeit, als es die Abmeſſung der Kruͤmmung der Hornhaut und der Linſe zu beſtimmen geſtattet, befindet ſich der mit der Nervenhaut oder Netzhaut bedeckte Boden des Auges, der alſo dieſes Bild aufnimmt.","norm":"Grade hier aber, und dieses mit so großer Genauigkeit, als es die Abmessung der Krümmung der Hornhaut und der Linse zu bestimmen gestattet, befindet sich der mit der Nervenhaut oder Netzhaut bedeckte Boden des Auges, der also dieses Bild 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+{"basename":"brandes_naturlehre02_1831","par_idx":1177,"date":1831,"orig":"Die aus dem Sehenerven ausgehende Netzhaut im Auge muß alſo ohne Zweifel dadurch, daß ſie durch die auffallenden Lichtſtrahlen gereizt wird, der Seele die Vorſtellungen, die wir dem Geſichte zuſchreiben, zufuͤhren.","norm":"Die aus dem Sehnerven ausgehende Netzhaut im Auge muss also ohne Zweifel dadurch, dass sie durch die auffallenden Lichtstrahlen gereizt wird, der Seele die Vorstellungen, die wir dem Gesichte zuschreiben, 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+{"basename":"brandes_naturlehre02_1831","par_idx":1178,"date":1831,"orig":"Daß jene optiſchen Bilder der aͤußere Grund dieſer Vorſtellungen ſind, daran iſt kein Zweifel, indem die ganze Einrichtung des Auges beweiſt, daß die Darſtellung dieſes Bildes der Zweck der ganzen Anordnung des Organes iſt; indem die kuͤnſtlichen Mittel, die dieſes Bild deutlich und beſtimmt machen, uns auch den Eindruck eines deutlichen Sehens gewaͤhren, und Fehler des Auges, durch welche das Bild undeutlich wird, durch ſolche kuͤnſtliche Mittel koͤnnen unſchaͤdlich gemacht werden.","norm":"Dass jene optischen Bilder der äußere Grund dieser Vorstellungen sind, daran ist kein Zweifel, indem die ganze Einrichtung des Auges beweist, dass die Darstellung dieses Bildes der Zweck der ganzen Anordnung des Organes ist; indem die künstlichen Mittel, die dieses Bild deutlich und bestimmt machen, uns auch den Eindruck eines deutlichen Sehen es gewähren, und Fehler des Auges, durch welche das Bild undeutlich wird, durch solche künstliche Mittel können unschädlich gemacht 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+{"basename":"brandes_naturlehre02_1831","par_idx":1186,"date":1831,"orig":"Sobald naͤmlich ein zu ſtarker Lichtreiz die Netzhaut des Auges trifft, ſo verengert ſich die Oeffnung der Pupille und vermindert dadurch die Menge der eingelaſſenen Strahlen, folglich auch die Erleuchtung des Bildes im Auge und den damit verbundenen Lichtreitz auf die Netzhaut.","norm":"Sobald nämlich ein zu starker Lichtreiz die Netzhaut des Auges trifft, so verengt sich die Öffnung der Pupille und vermindert dadurch die Menge der eingelassenen Strahlen, folglich auch die Erleuchtung des Bildes im Auge und den damit verbundenen Lichtreiz auf die 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Auges bewirken, indem die ſeitwaͤrts gerichtete Bewegung durch eine Dehnung des einen und Verkuͤrzung des andern Muskels, die das Seitwaͤrtsziehen bewirken, hervorgebracht wird, und ebenſo die Bewegung hinauf und hinabwaͤrts von beſtimmten Muskeln abhaͤngt.","norm":"Zu den Nebenteilen des Auges gehören noch die Muskeln, welche die Bewegung des Auges bewirken, indem die seitwärts gerichtete Bewegung durch eine Dehnung des einen und Verkürzung des anderen Muskels, die das Seitwärtsziehen bewirken, hervorgebracht wird, und ebenso die Bewegung hinauf und hinabwärts von bestimmten Muskeln 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+{"basename":"brandes_naturlehre02_1831","par_idx":1193,"date":1831,"orig":"Ehe ich zu den kuͤnſtlichen Mitteln, um theils den Augenfehlern abzuhelfen, theils das Sehen kleiner oder entfernter Gegenſtaͤnde zu verbeſſern, uͤbergehe, muß ich hier noch einige Fragen beantworten, die man gewoͤhnlich in Beziehung auf unſer Sehen aufwirft.","norm":"Ehe ich zu den künstlichen Mitteln, um teils den Augenfehlern abzuhelfen, teils das Sehen kleiner oder entfernter Gegenstände zu verbessern, übergehe, muss ich hier noch einige Fragen beantworten, die man gewöhnlich in Beziehung auf unser Sehen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1194,"date":1831,"orig":"Die erſte iſt, warum wir mit zwei Augen doch nur die Gegenſtaͤnde einfach ſehen.","norm":"Die erste ist, warum wir mit zwei Augen doch nur die Gegenstände einfach 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einfach ſahen, doppelt erſcheinen, ſo ergiebt ſich die Antwort auf jene Frage leicht, naͤmlich daß es uͤbereinſtimmende Puncte auf der Netzhaut beider Augen geben muß, die die Eigenſchaft haben, daß die Empfindung nur eines Bildes hervorgeht, wenn die gleichen Bilder auf dieſe uͤbereinſtimmenden Puncte fallen.","norm":"Da es bekannt ist, dass wir durch ein Seitwärtsdrücken des Auges bewirken können, dass die Gegenstände, die wir bei natürlicher Stellung des Auges einfach sahen, doppelt erscheinen, so ergibt sich die Antwort auf jene Frage leicht, nämlich dass es übereinstimmende Punkte auf der Netzhaut beider Augen geben muss, die die Eigenschaft haben, dass die Empfindung nur eines Bildes hervorgeht, wenn die gleichen Bilder auf diese übereinstimmenden Punkte 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+{"basename":"brandes_naturlehre02_1831","par_idx":1196,"date":1831,"orig":"Ob dieſes durch Gewoͤhnung hervorgegangen iſt, oder ob in der Bildung der Nerven etwas ſein kann, dem wir dieſe Vereinigung zweier Eindruͤcke in eine einzige gemeinſchaftliche Empfindung verdanken, ſcheint noch ungewiß.","norm":"Ob dieses durch Gewöhnung hervorgegangen ist, oder ob in der Bildung der Nerven etwas sein kann, dem wir diese Vereinigung zweier Eindrücke in eine einzige gemeinschaftliche Empfindung verdanken, scheint noch 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+{"basename":"brandes_naturlehre02_1831","par_idx":1200,"date":1831,"orig":"Es giebt einen Punct im Auge, wo das Bild uns gar keine Empfindung des Sehens gewaͤhrt.","norm":"Es gibt einen Punkt im Auge, wo das Bild uns gar keine Empfindung des Sehen es 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1½ Zoll von einander entfernt auf weißes Papier gezeichnet, in nahe horizontaler Stellung vor die Augen haͤlt, nun das rechte Auge ſchließt, und das linke auf den rechts liegenden Punct richtet, ſo bemerkt man, indem man das Papier allmaͤhlig bis auf etwa 6 Zoll naͤhert, daß der links liegende Fleck gar nicht geſehen wird, obgleich man ihn bei groͤßerer und auch bei erheblich kleinerer Entfernung wahrnimmt.","norm":"Wenn man zwei schwarze Fleck, etwa von 1 Linie Durchmesser 11/2 Zoll voneinander entfernt auf weißes Papier gezeichnet, in nahe horizontaler Stellung vor die Augen hält, nun das rechte Auge schließt, und das linke auf den rechts liegenden Punkt richtet, so bemerkt man, indem man das Papier allmählich bis auf etwa 6 Zoll nähert, dass der links liegende Fleck gar nicht gesehen wird, obgleich man ihn bei größerer und auch bei erheblich kleinerer Entfernung 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+{"basename":"brandes_naturlehre02_1831","par_idx":1204,"date":1831,"orig":"Beim gewoͤhnlichen Sehen bemerken wir dieſes nicht, weil, wenn wir einen einzelnen Punct genau wahrnehmen wollen, unſer Auge ſich grade gegen ihn wendet, ſtatt daß er bei jenem Verſuche ziemlich entfernt von der Axe des Auges liegen muß.","norm":"Beim gewöhnlichen Sehen bemerken wir dieses nicht, weil, wenn wir einen einzelnen Punkt genau wahrnehmen wollen, unser Auge sich gerade gegen ihn wendet, statt dass er bei jenem Versuche ziemlich entfernt von der Achse des Auges liegen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1205,"date":1831,"orig":"Eine zweite Frage, die man oft aufgeworfen hat, iſt, warum wir die Gegenſtaͤnde aufrecht ſehen, da doch ihr Bild im Auge, ſo wie das durch ein Linſenglas hervorgebrachte Bild, umgekehrt iſt.","norm":"Eine zweite Frage, die man oft aufgeworfen hat, ist, warum wir die Gegenstände aufrecht sehen, da doch ihr Bild im Auge, so wie das durch ein Linsenglas hervorgebrachte Bild, umgekehrt 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+{"basename":"brandes_naturlehre02_1831","par_idx":1206,"date":1831,"orig":"Dieſe Frage ſcheint mir auf einem bloßen Mißverſtehen der Art und Weiſe, wie jenes Bild im Auge unſre Geiſtesthaͤtigkeit erregt, das Bewußtſein des Sehens hervorbringt, zu beruhen.","norm":"Diese Frage scheint mir auf einem bloßen Missverstehen der Art und Weise, wie jenes Bild im Auge unsere Geistestätigkeit erregt, das Bewusstsein des Sehen es hervorbringt, zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":1223,"date":1831,"orig":"Wenn in einem etwas weiter vorruͤckenden Alter, oft ſchon im 45ten bis 50ten Jahre, die Feuchtigkeiten im Auge ſich vermindern und Linſe und Hornhaut eine etwas weniger convexe Form annehmen, ſo wird das Auge fernſichtig.","norm":"Wenn in einem etwas weiter vorrückenden Alter, oft schon im 45ten bis 50ten Jahre, die Feuchtigkeiten im Auge sich vermindern und Linse und Hornhaut eine etwas weniger konvexe Form annehmen, so wird das Auge 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Koͤnnen ſie aber des Glaſes nicht entbehren, ſo muͤſſen ſie kein zu hohl geſchliffenes waͤhlen, und es nicht anwenden, wenn ſie auf nahe Gegenſtaͤnde ſehen.","norm":"Da das jugendliche Auge noch fähig zu sein pflegt, durch Gewöhnung sich von seinen Fehlern zu erholen, so ist es allen jungen Leuten anzuraten, dass sie dadurch, dass sie entferntere Gegenstände scharf ins Auge fassen und sich anstrengen, um diese deutlich zu sehen, ihr Auge zu verbessern suchen . 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+{"basename":"brandes_naturlehre02_1831","par_idx":1250,"date":1831,"orig":"Wenn das Auge gewohnt iſt, durch parallele Strahlen gut zu ſehen, oder wenn es fernſichtig iſt, ſo ſieht es diejenigen Puncte durch eine einfache Linſe deutlich, die um den Brennpunct A liegen; denn die von da auf die Linſe fallenden Strahlen kommen parallel, wie DO, BO, (Fig. 70.) in das Auge.","norm":"Wenn das Auge gewohnt ist, durch parallele Strahlen gut zu sehen, oder wenn es fernsichtig ist, so sieht es diejenigen Punkte durch eine einfache Linse deutlich, die um den Brennpunkt A liegen; denn die von da auf die Linse fallenden Strahlen kommen parallel, wie DO, BO, (Fig. 70.) in das 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+{"basename":"brandes_naturlehre02_1831","par_idx":1251,"date":1831,"orig":"Iſt a ein Punct, der neben dem Brennpuncte liegt, und dieſem ſo nahe, wie es bei den durch ein Vergroͤßerungsglas betrachteten Gegenſtaͤnden der Fall iſt, ſo werden auch die von ihm ausgehenden Strahlen nach der Brechung parallel, und zwar parallel dem durch die Mitte B des Glaſes gehenden Strahle aB.","norm":"Ist a ein Punkt, der neben dem Brennpunkte liegt, und diesem so nahe, wie es bei den durch ein Vergrößerungsglas betrachteten Gegenständen der Fall ist, so werden auch die von ihm ausgehenden Strahlen nach der Brechung parallel, und zwar parallel dem durch die Mitte B des Glases gehenden Strahle aB.","orig_tok":["Iſt","a","ein","Punct",",","der","neben","dem","Brennpuncte","liegt",",","und","dieſem","ſo","nahe",",","wie","es","bei","den","durch","ein","Vergroͤßerungsglas","betrachteten","Gegenſtaͤnden","der","Fall","iſt",",","ſo","werden","auch","die","von","ihm","ausgehenden","Strahlen","nach","der","Brechung","parallel",",","und","zwar","parallel","dem","durch","die","Mitte","B","des","Glaſes","gehenden","Strahle","aB","."],"norm_tok":["Ist","a","ein","Punkt",",","der","neben","dem","Brennpunkte","liegt",",","und","diesem","so","nahe",",","wie","es","bei","den","durch","ein","Vergrößerungsglas","betrachteten","Gegenständen","der","Fall","ist",",","so","werden","auch","die","von","ihm","ausgehenden","Strahlen","nach","der","Brechung","parallel",",","und","zwar","parallel","dem","durch","die","Mitte","B","des","Glases","gehenden","Strahle","aB."],"orig_spans":[[0,3],[4,5],[6,9],[10,15],[15,16],[17,20],[21,26],[27,30],[31,42],[43,48],[48,49],[50,53],[54,60],[61,63],[64,68],[68,69],[70,73],[74,76],[77,80],[81,84],[85,90],[91,94],[95,113],[114,126],[127,140],[141,144],[145,149],[150,153],[153,154],[155,157],[158,164],[165,169],[170,173],[174,177],[178,181],[182,193],[194,202],[203,207],[208,211],[212,220],[221,229],[229,230],[231,234],[235,239],[240,248],[249,252],[253,258],[259,262],[263,268],[269,270],[271,274],[275,281],[282,290],[291,298],[299,301],[301,302]],"norm_spans":[[0,3],[4,5],[6,9],[10,15],[15,16],[17,20],[21,26],[27,30],[31,42],[43,48],[48,49],[50,53],[54,60],[61,63],[64,68],[68,69],[70,73],[74,76],[77,80],[81,84],[85,90],[91,94],[95,112],[113,125],[126,138],[139,142],[143,147],[148,151],[151,152],[153,155],[156,162],[163,167],[168,171],[172,175],[176,179],[180,191],[192,200],[201,205],[206,209],[210,218],[219,227],[227,228],[229,232],[233,237],[238,246],[247,250],[251,256],[257,260],[261,266],[267,268],[269,272],[273,279],[280,288],[289,296],[297,300]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,54]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.801399946212768} +{"basename":"brandes_naturlehre02_1831","par_idx":1252,"date":1831,"orig":"So ſieht alſo das Auge in O den Punct A in der Richtung OA, den Punct a in der Richtung OG, und er erſcheint ſo groß, als der Sehewinkel GOA, welcher dem aBA gleich iſt, angiebt; hielte man das Auge in E, ſo waͤre BE der von a zum Auge gelangende Strahl, DE der von A kommende; und bei jeder Stellung des Auges in O oder E, oder wo es den ganzen Gegenſtand Aa uͤberſieht, erſcheint dieſer unter einem Sehewinkel, der dem Winkel aBA gleich iſt, das heißt, ſo groß als er dem bloßen Auge, wenn dieſes in B waͤre, erſchiene.","norm":"So sieht also das Auge in O den Punkt A in der Richtung OA, den Punkt a in der Richtung OG, und er erscheint so groß, als der Sehwinkel GOA, welcher dem Abba gleich ist, angibt; hielte man das Auge in E, so wäre BE der von a zum Auge gelangende Strahl, DE der von A kommende; und bei jeder Stellung des Auges in O oder E, oder wo es den ganzen Gegenstand Aa übersieht, erscheint dieser unter einem Sehwinkel, der dem Winkel Abba gleich ist, das heißt, so groß als er dem bloßen Auge, wenn dieses in B wäre, 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+{"basename":"brandes_naturlehre02_1831","par_idx":1253,"date":1831,"orig":"Hieraus kann man die Vergroͤßerung berechnen.","norm":"Hieraus kann man die Vergrößerung berechnen.","orig_tok":["Hieraus","kann","man","die","Vergroͤßerung","berechnen","."],"norm_tok":["Hieraus","kann","man","die","Vergrößerung","berechnen","."],"orig_spans":[[0,7],[8,12],[13,16],[17,20],[21,34],[35,44],[44,45]],"norm_spans":[[0,7],[8,12],[13,16],[17,20],[21,33],[34,43],[43,44]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.340199947357178} +{"basename":"brandes_naturlehre02_1831","par_idx":1254,"date":1831,"orig":"Doch ehe ich dieſes nachweiſe, will ich noch die eine Bemerkung einſchalten, daß auch ein nicht ſo fernſichtiges Auge den Gegenſtand durch dieſe Linſe deutlich ſehen kann, nur muß dann der Gegenſtand naͤher an das Glas geruͤckt werden, damit die Strahlen beim Hervorgehen noch divergirend bleiben; dieſe Verminderung des Abſtandes braucht nur ſehr wenig zu betragen, und hat auf die eben angegebne Groͤße des Sehewinkels keinen bedeutenden Einfluß.","norm":"Doch ehe ich dieses nachweise, will ich noch die eine Bemerkung einschalten, dass auch ein nicht so fernsichtiges Auge den Gegenstand durch diese Linse deutlich sehen kann, nur muss dann der Gegenstand näher an das Glas gerückt werden, damit die Strahlen beim Hervorgehen noch divergierend bleiben; diese Verminderung des Abstandes braucht nur sehr wenig zu betragen, und hat auf die eben angegebene Größe des Sehwinkels keinen bedeutenden 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+{"basename":"brandes_naturlehre02_1831","par_idx":1256,"date":1831,"orig":"Iſt mein Auge ſo beſchaffen, daß es kleine Gegenſtaͤnde in 10 Zoll Entfernung am beſten ſieht, und hat meine Glaslinſe 1 Zoll Brennweite, ſo vergroͤßert dieſe mir 10 mal im Durchmeſſer, das heißt, ich erkenne [Formel] Linie unter dieſer Linſe noch eben ſo deutlich, als ¼ Linie mit bloßem Auge.","norm":"Ist mein Auge so beschaffen, dass es kleine Gegenstände in 10 Zoll Entfernung am besten sieht, und hat meine Glaslinse 1 Zoll Brennweite, so vergrößert diese mir 10 Mal im Durchmesser, das heißt, ich erkenne [Formel] Linie unter dieser Linse noch eben so deutlich, als ¼ Linie mit bloßem 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ſieht dagegen ein ſehr Kurzſichtiger, der die Gegenſtaͤnde auf 2 Zoll Weite dem Auge zu naͤhern pflegt, durch eben die Linſe, ſo ſieht er den Gegenſtand nur doppelt ſo groß, als bei dieſer ihm gewoͤhnlichen Stellung; er konnte ſchon mit bloßem Auge Abtheilungen, die [Formel] Linie betragen, ebenſo deutlich erkennen, als jenes Auge Abtheilungen von ¼ Linie (vorausgeſetzt, daß beide Augen gleich ſcharf Gegenſtaͤnde erkennen, die einem Sehewinkel von beſtimmter Groͤße entſprechen,) und dem Kurzſichtigen iſt daher mit der Linſe nur wenig gedient.","norm":"So verhält sich die Vergrößerung für dieses Auge; sieht dagegen ein sehr kurzsichtiger, der die Gegenstände auf 2 Zoll Weite dem Auge zu nähern pflegt, durch eben die Linse, so sieht er den Gegenstand nur doppelt so groß, als bei dieser ihm gewöhnlichen Stellung; er konnte schon mit bloßem Auge Abteilungen, die [Formel] Linie betragen, ebenso deutlich erkennen, als jenes Auge Abteilungen von ¼ Linie (vorausgesetzt, dass beide Augen gleich 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im Bilde mit den Teilungslinien des Maßstabes gleichlaufend sind; so kann man mit großer Genauigkeit wahrnehmen, wie viele Teile des vergrößerten Gegenstandes mit gewissen Teilen des Maßstabes 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+{"basename":"brandes_naturlehre02_1831","par_idx":1278,"date":1831,"orig":"Aber obgleich man ſo ein Mittel hat, um von einer Seite den Werth eines Microſcopes genau zu beſtimmen, naͤmlich von Seiten der Vergroͤßerung, ſo iſt damit doch keineswegs die wahre Brauchbarkeit deſſelben beſtimmt.","norm":"Aber obgleich man so ein Mittel hat, um von einer Seite den Wert eines Mikroskopes genau zu bestimmen, nämlich von Seiten der Vergrößerung, so ist damit doch keineswegs die wahre Brauchbarkeit desselben 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+{"basename":"brandes_naturlehre02_1831","par_idx":1286,"date":1831,"orig":"Je geringer die Brennweite einer Linſe iſt, deſto genauer muß der Gegenſtand in einem ganz beſtimmten Puncte ſich befinden, um deutlich geſehen zu werden, und es iſt bei ſtarken Vergroͤßerungen ganz unmoͤglich, Puncte, die etwas naͤher und die etwas entfernter ſind, zugleich deutlich zu ſehen; man muß daher die Stellung des Inſtruments aufs genaueſte dem zu beobachtenden Puncte gemaͤß anordnen, und ſie aͤndern, wenn man in dem Geſichtsfelde, welches man uͤberſieht, bald entferntere bald naͤhere Puncte beobachten will.","norm":"Je geringer die Brennweite einer Linse ist, desto genauer muss der Gegenstand in einem ganz bestimmten Punkte sich befinden, um deutlich gesehen zu werden, und es ist bei starken Vergrößerungen ganz unmöglich, Punkte, die etwas näher und die etwas entfernter sind, zugleich deutlich zu sehen; man muss daher die Stellung des Instruments aufs genaueste dem zu beobachtenden Punkte gemäß anordnen, und sie ändern, wenn man in dem Gesichtsfelde, welches man übersieht, bald entferntere bald nähere Punkte beobachten will.","orig_tok":["Je","geringer","die","Brennweite","einer","Linſe","iſt",",","deſto","genauer","muß","der","Gegenſtand","in","einem","ganz","beſtimmten","Puncte","ſich","befinden",",","um","deutlich","geſehen","zu","werden",",","und","es","iſt","bei","ſtarken","Vergroͤßerungen","ganz","unmoͤglich",",","Puncte",",","die","etwas","naͤher","und","die","etwas","entfernter","ſind",",","zugleich","deutlich","zu","ſehen",";","man","muß","daher","die","Stellung","des","Inſtruments","aufs","genaueſte","dem","zu","beobachtenden","Puncte","gemaͤß","anordnen",",","und","ſie","aͤndern",",","wenn","man","in","dem","Geſichtsfelde",",","welches","man","uͤberſieht",",","bald","entferntere","bald","naͤhere","Puncte","beobachten","will","."],"norm_tok":["Je","geringer","die","Brennweite","einer","Linse","ist",",","desto","genauer","muss","der","Gegenstand","in","einem","ganz","bestimmten","Punkte","sich","befinden",",","um","deutlich","gesehen","zu","werden",",","und","es","ist","bei","starken","Vergrößerungen","ganz","unmöglich",",","Punkte",",","die","etwas","näher","und","die","etwas","entfernter","sind",",","zugleich","deutlich","zu","sehen",";","man","muss","daher","die","Stellung","des","Instruments","aufs","genaueste","dem","zu","beobachtenden","Punkte","gemäß","anordnen",",","und","sie","ändern",",","wenn","man","in","dem","Gesichtsfelde",",","welches","man","übersieht",",","bald","entferntere","bald","nähere","Punkte","beobachten","will","."],"orig_spans":[[0,2],[3,11],[12,15],[16,26],[27,32],[33,38],[39,42],[42,43],[44,49],[50,57],[58,61],[62,65],[66,76],[77,79],[80,85],[86,90],[91,101],[102,108],[109,113],[114,122],[122,123],[124,126],[127,135],[136,143],[144,146],[147,153],[153,154],[155,158],[159,161],[162,165],[166,169],[170,177],[178,193],[194,198],[199,209],[209,210],[211,217],[217,218],[219,222],[223,228],[229,235],[236,239],[240,243],[244,249],[250,260],[261,265],[265,266],[267,275],[276,284],[285,287],[288,293],[293,294],[295,298],[299,302],[303,308],[309,312],[313,321],[322,325],[326,337],[338,342],[343,352],[353,356],[357,359],[360,373],[374,380],[381,387],[388,396],[396,397],[398,401],[402,405],[406,413],[413,414],[415,419],[420,423],[424,426],[427,430],[431,444],[444,445],[446,453],[454,457],[458,468],[468,469],[470,474],[475,486],[487,491],[492,499],[500,506],[507,517],[518,522],[522,523]],"norm_spans":[[0,2],[3,11],[12,15],[16,26],[27,32],[33,38],[39,42],[42,43],[44,49],[50,57],[58,62],[63,66],[67,77],[78,80],[81,86],[87,91],[92,102],[103,109],[110,114],[115,123],[123,124],[125,127],[128,136],[137,144],[145,147],[148,154],[154,155],[156,159],[160,162],[163,166],[167,170],[171,178],[179,193],[194,198],[199,208],[208,209],[210,216],[216,217],[218,221],[222,227],[228,233],[234,237],[238,241],[242,247],[248,258],[259,263],[263,264],[265,273],[274,282],[283,285],[286,291],[291,292],[293,296],[297,301],[302,307],[308,311],[312,320],[321,324],[325,336],[337,341],[342,351],[352,355],[356,358],[359,372],[373,379],[380,385],[386,394],[394,395],[396,399],[400,403],[404,410],[410,411],[412,416],[417,420],[421,423],[424,427],[428,441],[441,442],[443,450],[451,454],[455,464],[464,465],[466,470],[471,482],[483,487],[488,494],[495,501],[502,512],[513,517],[517,518]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87],[88,88],[89,89]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.953900098800659} +{"basename":"brandes_naturlehre02_1831","par_idx":1287,"date":1831,"orig":"Amici's Spiegelmicroſcop.","norm":"Amici es Spiegelmikroskop.","orig_tok":["Amici","'s","Spiegelmicroſcop","."],"norm_tok":["Amici","es","Spiegelmikroskop","."],"orig_spans":[[0,5],[5,7],[8,24],[24,25]],"norm_spans":[[0,5],[6,8],[9,25],[25,26]],"alignment":[[0,0],[1,1],[2,2],[3,3]],"lang_fastText":"en","lang_py3langid":"nl","lang_cld3":"ro","orig_lang_de":0,"norm_lmscore":9.482000350952148} +{"basename":"brandes_naturlehre02_1831","par_idx":1288,"date":1831,"orig":"Die ſehr mannigfaltig verſchiedenen Anordnungen der Glaͤſer in Microſcopen hier naͤher anzugeben, ſcheint mir nicht unſerm Zwecke angemeſſen; aber eine Art von Microſcopen, wo naͤmlich Hohlſpiegel angewandt werden, muß ich doch, weil ſie zu ſehr von den uͤbrigen abweichen, beſchreiben.","norm":"Die sehr mannigfaltig verschiedenen Anordnungen der Gläser in Mikroskopen hier näher anzugeben, scheint mir nicht unserem Zwecke angemessen; aber eine Art von Mikroskopen, wo nämlich Hohlspiegel angewandt werden, muss ich doch, weil sie zu sehr von den übrigen abweichen, beschreiben.","orig_tok":["Die","ſehr","mannigfaltig","verſchiedenen","Anordnungen","der","Glaͤſer","in","Microſcopen","hier","naͤher","anzugeben",",","ſcheint","mir","nicht","unſerm","Zwecke","angemeſſen",";","aber","eine","Art","von","Microſcopen",",","wo","naͤmlich","Hohlſpiegel","angewandt","werden",",","muß","ich","doch",",","weil","ſie","zu","ſehr","von","den","uͤbrigen","abweichen",",","beſchreiben","."],"norm_tok":["Die","sehr","mannigfaltig","verschiedenen","Anordnungen","der","Gläser","in","Mikroskopen","hier","näher","anzugeben",",","scheint","mir","nicht","unserem","Zwecke","angemessen",";","aber","eine","Art","von","Mikroskopen",",","wo","nämlich","Hohlspiegel","angewandt","werden",",","muss","ich","doch",",","weil","sie","zu","sehr","von","den","übrigen","abweichen",",","beschreiben","."],"orig_spans":[[0,3],[4,8],[9,21],[22,35],[36,47],[48,51],[52,59],[60,62],[63,74],[75,79],[80,86],[87,96],[96,97],[98,105],[106,109],[110,115],[116,122],[123,129],[130,140],[140,141],[142,146],[147,151],[152,155],[156,159],[160,171],[171,172],[173,175],[176,184],[185,196],[197,206],[207,213],[213,214],[215,218],[219,222],[223,227],[227,228],[229,233],[234,237],[238,240],[241,245],[246,249],[250,253],[254,262],[263,272],[272,273],[274,285],[285,286]],"norm_spans":[[0,3],[4,8],[9,21],[22,35],[36,47],[48,51],[52,58],[59,61],[62,73],[74,78],[79,84],[85,94],[94,95],[96,103],[104,107],[108,113],[114,121],[122,128],[129,139],[139,140],[141,145],[146,150],[151,154],[155,158],[159,170],[170,171],[172,174],[175,182],[183,194],[195,204],[205,211],[211,212],[213,217],[218,221],[222,226],[226,227],[228,232],[233,236],[237,239],[240,244],[245,248],[249,252],[253,260],[261,270],[270,271],[272,283],[283,284]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.4816999435424805} +{"basename":"brandes_naturlehre02_1831","par_idx":1289,"date":1831,"orig":"Dieſes von Amici ausgefuͤhrte Microſcop iſt aus Spiegeln und Linſenglaͤſern zuſammengeſetzt und heißt deshalb catadioptriſch.","norm":"Dieses von Amici ausgeführte Mikroskop ist aus Spiegeln und Linsengläsern zusammengesetzt und heißt deshalb catadioptrisch.","orig_tok":["Dieſes","von","Amici","ausgefuͤhrte","Microſcop","iſt","aus","Spiegeln","und","Linſenglaͤſern","zuſammengeſetzt","und","heißt","deshalb","catadioptriſch","."],"norm_tok":["Dieses","von","Amici","ausgeführte","Mikroskop","ist","aus","Spiegeln","und","Linsengläsern","zusammengesetzt","und","heißt","deshalb","catadioptrisch","."],"orig_spans":[[0,6],[7,10],[11,16],[17,29],[30,39],[40,43],[44,47],[48,56],[57,60],[61,75],[76,91],[92,95],[96,101],[102,109],[110,124],[124,125]],"norm_spans":[[0,6],[7,10],[11,16],[17,28],[29,38],[39,42],[43,46],[47,55],[56,59],[60,73],[74,89],[90,93],[94,99],[100,107],[108,122],[122,123]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.493199825286865} +{"basename":"brandes_naturlehre02_1831","par_idx":1290,"date":1831,"orig":"Ich habe bei den Spiegeln nicht den elliptiſch geſchliffenen Spiegel erwaͤhnt, der die Eigenſchaft hat, die aus dem einen Brennpuncte ausgehenden Strahlen in dem andern Brennpuncte der Ellipſe genau zu vereinigen.","norm":"Ich habe bei den Spiegeln nicht den elliptisch geschliffenen Spiegel erwähnt, der die Eigenschaft hat, die aus dem einen Brennpunkte ausgehenden Strahlen in dem anderen Brennpunkte der Ellipse genau zu vereinigen.","orig_tok":["Ich","habe","bei","den","Spiegeln","nicht","den","elliptiſch","geſchliffenen","Spiegel","erwaͤhnt",",","der","die","Eigenſchaft","hat",",","die","aus","dem","einen","Brennpuncte","ausgehenden","Strahlen","in","dem","andern","Brennpuncte","der","Ellipſe","genau","zu","vereinigen","."],"norm_tok":["Ich","habe","bei","den","Spiegeln","nicht","den","elliptisch","geschliffenen","Spiegel","erwähnt",",","der","die","Eigenschaft","hat",",","die","aus","dem","einen","Brennpunkte","ausgehenden","Strahlen","in","dem","anderen","Brennpunkte","der","Ellipse","genau","zu","vereinigen","."],"orig_spans":[[0,3],[4,8],[9,12],[13,16],[17,25],[26,31],[32,35],[36,46],[47,60],[61,68],[69,77],[77,78],[79,82],[83,86],[87,98],[99,102],[102,103],[104,107],[108,111],[112,115],[116,121],[122,133],[134,145],[146,154],[155,157],[158,161],[162,168],[169,180],[181,184],[185,192],[193,198],[199,201],[202,212],[212,213]],"norm_spans":[[0,3],[4,8],[9,12],[13,16],[17,25],[26,31],[32,35],[36,46],[47,60],[61,68],[69,76],[76,77],[78,81],[82,85],[86,97],[98,101],[101,102],[103,106],[107,110],[111,114],[115,120],[121,132],[133,144],[145,153],[154,156],[157,160],[161,168],[169,180],[181,184],[185,192],[193,198],[199,201],[202,212],[212,213]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.01609992980957} +{"basename":"brandes_naturlehre02_1831","par_idx":1291,"date":1831,"orig":"Die Ellipſe naͤmlich, die ich ſchon in den mechaniſchen Lehren der Phyſik an mehreren Stellen erwaͤhnt habe , beſitzt die Eigenſchaft, daß zwei Linien (Fig. 72.) von ihren beiden Brennpuncten A, B, aus, nach einem Puncte D des Umfangs gezogen, mit dem Einfallslothe DE gleiche Winkel oder mit der Beruͤhrungslinie FDG gleiche Winkel machen . Dieſe Eigenſchaft der Ellipſe bewirkt, daß ein von A ausgehender, in D antreffender Lichtſtrahl nach B reflectirt wird, wenn die ſpiegelnde Oberflaͤche nach der Ellipſe gebildet iſt, und da dies fuͤr jeden Punct, der von A ausgehende Strahl mag in D oder in d oder in dI antreffen, ebenſo geſchieht, ſo entſteht in B ein ſtark erleuchtetes Bild des Punctes A.","norm":"Die Ellipse nämlich, die ich schon in den mechanischen Lehren der Physik an mehreren Stellen erwähnt habe, besitzt die Eigenschaft, dass zwei Linien (Fig. 72.) von ihren beiden Brennpunkten A, B, aus, nach einem Punkte D des Umfangs gezogen, mit dem Einfallslot DE gleiche Winkel oder mit der Berührungslinie FDG gleiche Winkel machen . Diese Eigenschaft der Ellipse bewirkt, dass ein von A ausgehender, in D antreffender Lichtstrahl nach B reflektiert wird, wenn die spiegelnde Oberfläche nach der Ellipse gebildet ist, und da dies für jeden Punkt, der von A ausgehende Strahl mag in D oder in d oder in dI antreffen, ebenso geschieht, so entsteht in B ein stark erleuchtetes Bild des Punktes 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Punkte.","orig_tok":["Auf","eben","dieſer","Eigenſchaft","beruht","die","Zuruͤckwerfung","und","Sammlung","der","Wellen",",","wie","ſie","(","Fig.","107.","des","erſten","Theils",")","in","den","fruͤheren","Vorleſungen","angegeben","iſt",",","und","das","Hoͤren","des","Echo","an","dieſem","beſtimmten","Puncte","."],"norm_tok":["Auf","eben","dieser","Eigenschaft","beruht","die","Zurückwerfung","und","Sammlung","der","Wellen",",","wie","sie","(","Fig",".","107.","des","ersten","Teils",")","in","den","früheren","Vorlesungen","angegeben","ist",",","und","das","Hören","des","Echo","an","diesem","bestimmten","Punkte","."],"orig_spans":[[0,3],[4,8],[9,15],[16,27],[28,34],[35,38],[39,53],[54,57],[58,66],[67,70],[71,77],[77,78],[79,82],[83,86],[87,88],[88,92],[93,97],[98,101],[102,108],[109,115],[115,116],[117,119],[120,123],[124,133],[134,145],[146,155],[156,159],[159,160],[161,164],[165,168],[169,175],[176,179],[180,184],[185,187],[188,194],[195,205],[206,212],[212,213]],"norm_spans":[[0,3],[4,8],[9,15],[16,27],[28,34],[35,38],[39,52],[53,56],[57,65],[66,69],[70,76],[76,77],[78,81],[82,85],[86,87],[87,90],[90,91],[92,96],[97,100],[101,107],[108,113],[113,114],[115,117],[118,121],[122,130],[131,142],[143,152],[153,156],[156,157],[158,161],[162,165],[166,171],[172,175],[176,180],[181,183],[184,190],[191,201],[202,208],[208,209]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[24,25],[25,26],[26,27],[27,28],[28,29],[29,30],[30,31],[31,32],[32,33],[33,34],[34,35],[35,36],[36,37],[37,38]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.787700176239014} 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ND eben ſo gut = ⅔ NI, wie PQ = ⅔ PK; dann liegen dieſe Theilungspuncte D, Q, auf dem Umfange der Ellipſe.","norm":"Um die Ellipse zu zeichnen, kann man den Kreis HIKLM (Fig. 72.) zeichnen; gegen den Durchmesser HL eine Reihe senkrechter Linien ziehen, und ihre zwischen dem Durchmesser und dem Kreise liegenden Teile alle in gleichem Verhältnisse teilen, z. B. 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+{"basename":"brandes_naturlehre02_1831","par_idx":1296,"date":1831,"orig":"Dieſe Eigenſchaft des elliptiſchen Spiegels hat Amici zur Darſtellung eines Bildes kleiner Gegenſtaͤnde benutzt, indem ſich leicht ergiebt, daß wenn der Punct A ein Bild in B darſtellt, auch die zunaͤchſt liegenden Puncte auf aͤhnliche Weiſe Bilder geben, alſo den ganzen Gegenſtand, der allemal nur ſehr klein iſt, bei B im Bilde zeigen werden.","norm":"Diese Eigenschaft des elliptischen Spiegels hat Amici zur Darstellung eines Bildes kleiner Gegenstände benutzt, indem sich leicht ergibt, dass wenn der Punkt A ein Bild in B darstellt, auch die zunächst liegenden Punkte auf ähnliche Weise Bilder geben, also den ganzen Gegenstand, der allemal nur sehr klein ist, bei B im Bilde zeigen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1297,"date":1831,"orig":"Amici's Microſcop enthaͤlt nun am einen Ende des Rohres AB (Fig. 73.) einen elliptiſchen Spiegel E, der naͤmlich durch Umdrehung eines um den Scheitel liegenden Theiles der Ellipſe um die Axe ebenſo entſteht, wie die Kugelflaͤche durch die Umdrehung eines Kreiſes um ſeinen Durchmeſſer.","norm":"Amici es Mikroskop enthält nun am einen Ende des Rohres AB (Fig. 73.) einen elliptischen Spiegel E, der nämlich durch Umdrehung eines um den Scheitel liegenden Teiles der Ellipse um die Achse ebenso entsteht, wie die Kugelfläche durch die Umdrehung eines Kreises um seinen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1298,"date":1831,"orig":"Zwiſchen ſeinem naͤchſten Brennpuncte C und dem Scheitel E befindet ſich ein kleiner ebner Spiegel hi, und vor der Oeffnung neben L das zu beobachtende Object L.","norm":"Zwischen seinem nächsten Brennpunkte C und dem Scheitel E befindet sich ein kleiner ebener Spiegel hi, und vor der Öffnung neben L das zu beobachtende Objekt L.","orig_tok":["Zwiſchen","ſeinem","naͤchſten","Brennpuncte","C","und","dem","Scheitel","E","befindet","ſich","ein","kleiner","ebner","Spiegel","hi",",","und","vor","der","Oeffnung","neben","L","das","zu","beobachtende","Object","L","."],"norm_tok":["Zwischen","seinem","nächsten","Brennpunkte","C","und","dem","Scheitel","E","befindet","sich","ein","kleiner","ebener","Spiegel","hi",",","und","vor","der","Öffnung","neben","L","das","zu","beobachtende","Objekt","L."],"orig_spans":[[0,8],[9,15],[16,25],[26,37],[38,39],[40,43],[44,47],[48,56],[57,58],[59,67],[68,72],[73,76],[77,84],[85,90],[91,98],[99,101],[101,102],[103,106],[107,110],[111,114],[115,123],[124,129],[130,131],[132,135],[136,138],[139,151],[152,158],[159,160],[160,161]],"norm_spans":[[0,8],[9,15],[16,24],[25,36],[37,38],[39,42],[43,46],[47,55],[56,57],[58,66],[67,71],[72,75],[76,83],[84,90],[91,98],[99,101],[101,102],[103,106],[107,110],[111,114],[115,122],[123,128],[129,130],[131,134],[135,137],[138,150],[151,157],[158,160]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,27]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.493199825286865} +{"basename":"brandes_naturlehre02_1831","par_idx":1299,"date":1831,"orig":"Nach dem Geſetze des ebnen Spiegels kommen die von L ausgehenden, von hi reflectirten Strahlen ſo auf den elliptiſchen Spiegel E, als ob ſie von dem Bilde C hinter dem Spiegel ausgingen, und das Object muß daher ſo geſtellt werden, daß ſein Bild genau mit dem Brennpuncte C zuſammentrifft.","norm":"Nach dem Gesetze des ebnen Spiegels kommen die von L ausgehenden, von hi reflektierten Strahlen so auf den elliptischen Spiegel E, als ob sie von dem Bilde C hinter dem Spiegel ausgingen, und das Objekt muss daher so gestellt werden, dass sein Bild genau mit dem Brennpunkte C 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beſitzt, vollends anzugeben, muß ich noch das Sonnenmicroſcop erwaͤhnen, ein Inſtrument, das den Vortheil gewaͤhrt, die Vergroͤßerung bis zum hoͤchſten Grade zu treiben, das aber dennoch zu genauen Beobachtungen nicht tauglich iſt, weil die, freilich ſehr großen, Bilder nicht den Grad von Schaͤrfe und Beſtimmtheit haben, welche man fordern muß, wenn es darauf ankoͤmmt, feine Gegenſtaͤnde ſo zu ſehen, daß ihre Betrachtung zu nuͤtzlichen Schluͤſſen fuͤhren, und unſre Kenntniß uͤber ihre wahre Beſchaffenheit berichiigen kann.","norm":"Um aber nun die Mittel, die man zur Vergrößerung kleiner Gegenstände besitzt, vollends anzugeben, muss ich noch das Sonnenmikroskop erwähnen, ein Instrument, das den Vorteil gewährt, die Vergrößerung bis zum höchsten Grade zu treiben, das aber dennoch zu genauen Beobachtungen nicht tauglich ist, weil die, freilich sehr großen, Bilder nicht den Grad von Schärfe und Bestimmtheit haben, welche man fordern muss, wenn es darauf ankommt, feine Gegenstände so zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":1327,"date":1831,"orig":"Dieſe Zuſammenfuͤgung zweier Linſen giebt das aſtronomiſche Fernrohr, bei welchem wir zuerſt den Grund, warum man entfernte Gegenſtaͤnde deutlich ſieht, dann warum man ſie vergroͤßert ſieht, naͤher betrachten wollen.","norm":"Diese Zusammenfügung zweier Linsen gibt das astronomische Fernrohr, bei welchem wir zuerst den Grund, warum man entfernte Gegenstände deutlich sieht, dann warum man sie vergrößert sieht, näher betrachten 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+{"basename":"brandes_naturlehre02_1831","par_idx":1328,"date":1831,"orig":"Um die erſte Frage zu beantworten, brauche ich nur die von einem einzigen, ſehr entfernten Puncte ausgehenden Strahlen, die parallel auf das Objectivglas bAB (Fig. 75.) fallen, zu zeichnen, SA, sB, und Sie zu erinnern, daß dieſe im Brennpuncte F ſich vereinigen, und nun von ihm ausgehend das Augenglas DE ſo erreichen, daß, wenn dieſes ſeinen Brennpunct zugleich auch in F hat, ſie parallel aus dem Augenglaſe hervorgehen, alſo dem Auge O den entfernten Punct deutlich zeigen, wenn das Auge gewohnt iſt, entfernte Gegenſtaͤnde deutlich zu ſehen; aber die Gegenſtaͤnde erſcheinen auch vergroͤßert.","norm":"Um die erste Frage zu beantworten, brauche ich nur die von einem einzigen, sehr entfernten Punkte ausgehenden Strahlen, die parallel auf das Objektivglas bAB (Fig. 75.) fallen, zu zeichnen, SA, sB, und Sie zu erinnern, dass diese im Brennpunkte F sich vereinigen, und nun von ihm ausgehend das Augenglas DE so erreichen, dass, wenn dieses seinen Brennpunkt zugleich auch in F hat, sie parallel aus dem Augenglase hervorgehen, also dem Auge O den entfernten Punkt deutlich zeigen, wenn das Auge gewohnt ist, entfernte Gegenstände deutlich zu sehen; aber die Gegenstände erscheinen auch 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+{"basename":"brandes_naturlehre02_1831","par_idx":1340,"date":1831,"orig":"Um dieſe durch die Mitte des Objectivs gehenden Strahlen alle mit dem Auge aufzufangen, muß man das Auge in O, etwas weiter vom Augenglaſe entfernt halten, als die Brennweite KF angiebt, naͤmlich da, wo die nach dem Rande E gezogene EO mit tK parallel iſt.","norm":"Um diese durch die Mitte des Objektivs gehenden Strahlen alle mit dem Auge aufzufangen, muss man das Auge in O, etwas weiter vom Augenglase entfernt halten, als die Brennweite KF angibt, nämlich da, wo die nach dem Rande E gezogene EO mit tK parallel 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+{"basename":"brandes_naturlehre02_1831","par_idx":1345,"date":1831,"orig":"Die Einrichtung aller Fernroͤhre iſt ſo, daß man das Augenglas ein wenig mehr dem Objective naͤhern oder es davon entfernen kann, und Sie koͤnnen ſich leicht uͤberzeugen, daß der Kurzſichtige das Ocular ein wenig hineinſchieben muß.","norm":"Die Einrichtung aller Fernröhre ist so, dass man das Augenglas ein wenig mehr dem Objektive nähern oder es davon entfernen kann, und Sie können sich leicht überzeugen, dass der Kurzsichtige das Okular ein wenig hineinschieben 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Lichtſtrahl tEO (Fig. 75.) koͤmmt vom obern Theile des Augenglaſes ins Auge, obgleich der Gegenſtand T unterhalb S liegt.","norm":"Das bisher betrachtete, nur aus zwei Gläsern zusammengefügte Fernrohr würde allen Forderungen sehr wohl entsprechen, wenn es nicht die Gegenstände umgekehrt zeigte; denn so wie das durch ein Linsenglas hervorgebrachte Bild allemal umgekehrt ist, so muss es auch hier, wo wir ein solches Bild betrachten, sein; der Lichtstrahl tEO (Fig. 75.) kommt vom oberen Teile des Augenglases ins Auge, obgleich der Gegenstand T unterhalb S 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+{"basename":"brandes_naturlehre02_1831","par_idx":1370,"date":1831,"orig":"Dieſes Fernrohr hat die Unbequemlichkeit, nur ein kleines Geſichtsfeld darzubieten, welches uͤber das ſehr abnimmt, wenn man das Auge etwas weiter von dem Augenglaſe entfernt.","norm":"Dieses Fernrohr hat die Unbequemlichkeit, nur ein kleines Gesichtsfeld darzubieten, welches über das sehr abnimmt, wenn man das Auge etwas weiter von dem Augenglase 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+{"basename":"brandes_naturlehre02_1831","par_idx":1371,"date":1831,"orig":"Man wendet deßhalb dieſes Fernrohr jetzt nur noch da an, wo man mit 3 oder 4maliger Vergroͤßerung zufrieden iſt, indem hier das Augenglas ziemlich breit und dabei das Geſichtsfeld hinreichend groß werden kann.","norm":"Man wendet deshalb dieses Fernrohr jetzt nur noch da an, wo man mit 3 oder 4-maliger Vergrößerung zufrieden ist, indem hier das Augenglas ziemlich breit und dabei das Gesichtsfeld hinreichend groß werden 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+{"basename":"brandes_naturlehre02_1831","par_idx":1372,"date":1831,"orig":"Solche ſchwach vergroͤßernde Fernroͤhre ſind die kurzen Fernroͤhre, deren man ſich im Theater und in andern Faͤllen bedient, wo man in nicht weite Fernen ſehr ſcharf ſehen will.","norm":"Solche schwach vergrößernde Fernröhre sind die kurzen Fernröhre, deren man sich im Theater und in anderen Fällen bedient, wo man in nicht weite Fernen sehr scharf sehen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1373,"date":1831,"orig":"Das Erdfernrohr.","norm":"Das Erdfernrohr.","orig_tok":["Das","Erdfernrohr","."],"norm_tok":["Das","Erdfernrohr","."],"orig_spans":[[0,3],[4,15],[15,16]],"norm_spans":[[0,3],[4,15],[15,16]],"alignment":[[0,0],[1,1],[2,2]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"cy","orig_lang_de":0.667,"norm_lmscore":5.464600086212158} +{"basename":"brandes_naturlehre02_1831","par_idx":1374,"date":1831,"orig":"Fuͤr ſtaͤrkere Vergroͤßerungen gebraucht man lieber ein mit mehreren Ocularen verſehenes Fernrohr, das man das Erdfernrohr nennt.","norm":"Für stärkere Vergrößerungen gebraucht man lieber ein mit mehreren Okularen versehenes Fernrohr, das man das Erdfernrohr 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+{"basename":"brandes_naturlehre02_1831","par_idx":1375,"date":1831,"orig":"Es kann drei oder vier Glaͤſer in der Ocularroͤhre verbunden, enthalten; da aber unſre gewoͤhnlichen Fernroͤhre vier zu enthalten pflegen, ſo will ich darauf meine Erklaͤrung einrichten.","norm":"Es kann drei oder vier Gläser in der Okularröhre verbunden, enthalten; da aber unsere gewöhnlichen Fernröhre vier zu enthalten pflegen, so will ich darauf meine Erklärung 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+{"basename":"brandes_naturlehre02_1831","par_idx":1378,"date":1831,"orig":"Iſt das Fernrohr richtig ausgezogen, ſo daß ein gut in die Ferne ſehendes Auge entfernte Gegenſtaͤnde deutlich ſieht, ſo liegt bei dieſem Fernrohre das durch das Objectiv hervorgebrachte umgekehrte Bild ganz nahe vor dem erſten Oculare.","norm":"Ist das Fernrohr richtig ausgezogen, so dass ein gut in die Ferne sehendes Auge entfernte Gegenstände deutlich sieht, so liegt bei diesem Fernrohre das durch das Objektiv hervorgebrachte umgekehrte Bild ganz nahe vor dem ersten 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+{"basename":"brandes_naturlehre02_1831","par_idx":1379,"date":1831,"orig":"Da es dieſem Glaſe naͤher liegt, als der Brennpunct, ſo behalten die von einem Puncte des Bildes ausgehenden Strahlen auch an der andern Seite des Glaſes noch eine divergirende Richtung, jedoch mit geringerer Divergenz, als vor dem Glaſe.","norm":"Da es diesem Glase näher liegt, als der Brennpunkt, so behalten die von einem Punkte des Bildes ausgehenden Strahlen auch an der anderen Seite des Glases noch eine divergierende Richtung, jedoch mit geringerer Divergenz, als vor dem 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+{"basename":"brandes_naturlehre02_1831","par_idx":1395,"date":1831,"orig":"Bei dem Gregorianiſchen Teleſcop geſchieht dies ſo, daß dem groͤßeren Hohlſpiegel AB gegenuͤber ein kleiner Hohlſpiegel CD (Fig. 77.) ſteht; dieſer letztere hindert zwar fuͤr einige von SS her einfallende Strahlen den Zutritt zum Spiegel AB, aber da er nur klein zu ſein braucht, ſo iſt der dadurch verurſachte Verluſt an Licht nicht ſehr erheblich.","norm":"Bei dem Gregorianischen Teleskop geschieht dies so, dass dem größeren Hohlspiegel AB gegenüber ein kleiner Hohlspiegel CD (Fig. 77.) steht; dieser letztere hindert zwar für einige von SS her einfallende Strahlen den Zutritt zum Spiegel AB, aber da er nur klein zu sein braucht, so ist der dadurch verursachte Verlust an Licht nicht sehr 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zurückgeworfen würde, und wenn alles vom Objektivglase aufgefangene Licht vollkommen durchgelassen würde, so könnte man hiernach diese Raum durchdringende Kraft leicht berechnen; aber die besten Spiegel werfen nur ungefähr [Formel] des empfangenen Lichtes zurück und wenn von diesen [Formel], die der große Spiegel zurückgibt, abermals nur [Formel] am kleinen Spiegel reflektiert werden, so ist diese Lichtmenge nur [Formel] (eigentlich [Formel]) der einfallenden, so dass ein Spiegel, der 400 Mal so viel Fläche hat, als die Öffnung der Pupille des Auges, doch nur eine 170 Mal so große Lichtmenge in denselben Punkt vereinigt, also 13 Mal soviel Raum durchdringende Kraft als das bloße Auge besitzt, wenn man den Verlust bei dem Durchgegangen durch das Okular nicht 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+{"basename":"brandes_naturlehre02_1831","par_idx":1411,"date":1831,"orig":"Wuͤrde ein Stern ſechster Groͤße 96 mal ſo weit hinaus geruͤckt, als wo er ſich jetzt befindet, ſo bekaͤme unſer Auge nur [Formel] des Lichtes, das wir jetzt erhalten, und da jenes Fernrohr 9360 mal ſo viel Licht ſammelt, als das bloße Auge, ſo hat es reichlich eine 96 fache Raum durchdringende Kraft.","norm":"Würde ein Stern sechster Größe 96 Mal so weit hinausgerückt, als wo er sich jetzt befindet, so bekäme unser Auge nur [Formel] des Lichtes, das wir jetzt erhalten, und da jenes Fernrohr 9360 Mal so viel Licht sammelt, als das bloße Auge, so hat es reichlich eine 96-fache Raum durchdringende 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+{"basename":"brandes_naturlehre02_1831","par_idx":1412,"date":1831,"orig":"Die Refractoren leiſten ſchon bei viel geringerem Durchmeſſer der Objective ſehr viel, weil ſie das Licht weniger ſchwaͤchen.","norm":"Die Refraktoren leisten schon bei viel geringerem Durchmesser der Objektive sehr viel, weil sie das Licht weniger 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+{"basename":"brandes_naturlehre02_1831","par_idx":1413,"date":1831,"orig":"Nimmt man an, daß ſie [Formel] des empfangenen Lichtes durchlaſſen, ſo wuͤrde ein Objectiv von 9 Zoll Oeffnung etwa 45⋅45 = 2025 mal ſo viel Licht als das bloße Auge empfangen, etwa 1820 mal ſo viel durchlaſſen, alſo etwa die 42¾ malige Raum durchdringende Kraft haben, (da 43⋅43 = 1849 iſt).","norm":"Nimmt man an, dass sie [Formel] des empfangenen Lichtes durchlassen, so würde ein Objektiv von 9 Zoll Öffnung etwa 4545 = 2025 Mal so viel Licht als das bloße Auge empfangen, etwa 1820 Mal so viel durchlassen, also etwa die 423/4-malige Raum durchdringende Kraft haben, (da 4343 = 1849 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+{"basename":"brandes_naturlehre02_1831","par_idx":1414,"date":1831,"orig":"— Die Beobachtungen mit dem Fraunhoferſchen Fernrohre in Dorpat ſcheinen eine noch weit vortheilhaftere Vergleichung in Beziehung auf Spiegelteleſcope zu geben, ſo daß man den Lichtverluſt bei den Spiegeln wohl noch groͤßer anſetzen muͤßte.","norm":"— Die Beobachtungen mit dem Fraunhoferschen Fernrohre in Dorpat scheinen eine noch weit vorteilhaftere Vergleichung in Beziehung auf Spiegelteleskope zu geben, so dass man den Lichtverlust bei den Spiegeln wohl noch größer ansetzen 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Sehwinkel, sein Bild nähme (was dasselbe ist,) den 10000-fachen Raum auf der Netzhaut ein, in Vergleichung gegen den bei unbewaffnetem Auge durch das Licht gereizten Raum; so ist die Erleuchtung für jeden einzelnen Punkt des Bildes nur [Formel] dessen, was sie ohne Instrument war; nehmen wir eine 200-malige Vergrößerung, so ist diese Intensität der Lichterscheinung in jedem Punkte nur [Formel] oder [Formel] und nimmt mit jeder stärkeren Vergrößerung 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+{"basename":"brandes_naturlehre02_1831","par_idx":1417,"date":1831,"orig":"Daß wir deſſen ungeachtet mit einem ſehr lichtſtarken Inſtrumente auch ſchwach erleuchtete Gegenſtaͤnde beſſer erkennen, iſt gleichwohl richtig, indem bei ſchwacher Erleuchtung doch die unter groͤßerem Sehewinkel erſcheinenden Gegenſtaͤnde beſſer geſehen werden.","norm":"Dass wir dessen ungeachtet mit einem sehr lichtstarken Instrumente auch schwach erleuchtete Gegenstände besser erkennen, ist gleichwohl richtig, indem bei schwacher Erleuchtung doch die unter größerem Sehwinkel erscheinenden Gegenstände besser gesehen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1418,"date":1831,"orig":"Wenn ein Inſtrument wenig Lichtſtaͤrke hat, ſo wird man aller Vergroͤßerung ungeachtet bei anfangender Daͤmmerung die Gegenſtaͤnde nicht mehr unterſcheiden, weniger ſogar als mit bloßem Auge; bei einem lichtſtarken Inſtrumente wird der Dienſt, den das Inſtrument uns, ſelbſt bei anfangender Daͤmmerung, leiſtet, merklich werden, indem zwar die Erleuchtung eines jeden Punctes des Bildes ſchwaͤcher als bei bloßem Auge iſt, aber nicht in dem Maaße, daß nicht der Vortheil der Vergroͤßerung das Uebergewicht behielte.","norm":"Wenn ein Instrument wenig Lichtstärke hat, so wird man aller Vergrößerung ungeachtet bei anfangender Dämmerung die Gegenstände nicht mehr unterscheiden, weniger sogar als mit bloßem Auge; bei einem lichtstarken Instrumente wird der Dienst, den das Instrument uns, selbst bei anfangender Dämmerung, leistet, merklich werden, indem zwar die Erleuchtung eines jeden Punktes des Bildes schwächer als bei bloßem Auge ist, aber nicht in dem Maße, dass nicht der Vorteil der Vergrößerung das Übergewicht 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+{"basename":"brandes_naturlehre02_1831","par_idx":1421,"date":1831,"orig":"Faͤnde ſich nun, daß die Oeffnung nur den halben Durchmeſſer, alſo das Viertel der Groͤße, behalten haͤtte, ſo wuͤrde man das Licht des minder helleren dem Viertel des Lichtes des helleren gleich ſchaͤtzen und ſo ferner.","norm":"Fände sich nun, dass die Öffnung nur den halben Durchmesser, also das Viertel der Größe, behalten hätte, so würde man das Licht des minder helleren dem Viertel des Lichtes des helleren gleich schätzen und so ferner.","orig_tok":["Faͤnde","ſich","nun",",","daß","die","Oeffnung","nur","den","halben","Durchmeſſer",",","alſo","das","Viertel","der","Groͤße",",","behalten","haͤtte",",","ſo","wuͤrde","man","das","Licht","des","minder","helleren","dem","Viertel","des","Lichtes","des","helleren","gleich","ſchaͤtzen","und","ſo","ferner","."],"norm_tok":["Fände","sich","nun",",","dass","die","Öffnung","nur","den","halben","Durchmesser",",","also","das","Viertel","der","Größe",",","behalten","hätte",",","so","würde","man","das","Licht","des","minder","helleren","dem","Viertel","des","Lichtes","des","helleren","gleich","schätzen","und","so","ferner","."],"orig_spans":[[0,6],[7,11],[12,15],[15,16],[17,20],[21,24],[25,33],[34,37],[38,41],[42,48],[49,60],[60,61],[62,66],[67,70],[71,78],[79,82],[83,89],[89,90],[91,99],[100,106],[106,107],[108,110],[111,117],[118,121],[122,125],[126,131],[132,135],[136,142],[143,151],[152,155],[156,163],[164,167],[168,175],[176,179],[180,188],[189,195],[196,205],[206,209],[210,212],[213,219],[219,220]],"norm_spans":[[0,5],[6,10],[11,14],[14,15],[16,20],[21,24],[25,32],[33,36],[37,40],[41,47],[48,59],[59,60],[61,65],[66,69],[70,77],[78,81],[82,87],[87,88],[89,97],[98,103],[103,104],[105,107],[108,113],[114,117],[118,121],[122,127],[128,131],[132,138],[139,147],[148,151],[152,159],[160,163],[164,171],[172,175],[176,184],[185,191],[192,200],[201,204],[205,207],[208,214],[214,215]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.549799919128418} 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ſondern er will auch meſſen, er will die ſcheinbare Groͤße des geſehenen Gegenſtandes beſtimmen und daraus die wahre Groͤße berechnen.","norm":"Der Astronom will durch die Fernröhre nicht bloß sehen, sondern er will auch messen, er will die scheinbare Größe des gesehenen Gegenstandes bestimmen und daraus die wahre Größe 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+{"basename":"brandes_naturlehre02_1831","par_idx":1425,"date":1831,"orig":"Zu dieſer Meſſung kleiner Winkel dienen die Micrometer.","norm":"Zu dieser Messung kleiner Winkel dienen die Mikrometer.","orig_tok":["Zu","dieſer","Meſſung","kleiner","Winkel","dienen","die","Micrometer","."],"norm_tok":["Zu","dieser","Messung","kleiner","Winkel","dienen","die","Mikrometer","."],"orig_spans":[[0,2],[3,9],[10,17],[18,25],[26,32],[33,39],[40,43],[44,54],[54,55]],"norm_spans":[[0,2],[3,9],[10,17],[18,25],[26,32],[33,39],[40,43],[44,54],[54,55]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.925600051879883} +{"basename":"brandes_naturlehre02_1831","par_idx":1426,"date":1831,"orig":"Schon da, wo man auch nicht zu meſſen beabſichtigt, pflegt ein Fadenkreuz im Felde des Fernrohrs ſeine Mitte zu bezeichnen, und dieſe Faͤden befinden ſich genau da, wo das letzte Bild des Gegenſtandes ſich darſtellt, oder bei einem einfachen Oculare in dem Brennpuncte des Oculars.","norm":"Schon da, wo man auch nicht zu messen beabsichtigt, pflegt ein Fadenkreuz im Felde des Fernrohrs seine Mitte zu bezeichnen, und diese Fäden befinden sich genau da, wo das letzte Bild des Gegenstandes sich darstellt, oder bei einem einfachen Okulare in dem Brennpunkte des 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+{"basename":"brandes_naturlehre02_1831","par_idx":1429,"date":1831,"orig":"Stellt man naͤmlich das Fernrohr ſo, daß der zu meſſende Planet, um nur ein Beiſpiel zu nehmen, den einen der Kreutzfaͤden beruͤhrt, und bringt man nun durch die zu dieſem Zwecke angebrachte Schraube den beweglichen Faden ebenfalls zur Beruͤhrung des im Fernrohr geſehenen Bildes, ſo daß der Planet zwiſchen beiden parallelen Faͤden von ihnen beruͤhrt erſcheint, ſo ergiebt die Schraube, wie viele Schrauben-Umgaͤnge weit die Faͤden von einander ab ſtanden, folglich wie groß das Bild im Fernrohre war.","norm":"Stellt man nämlich das Fernrohr so, dass der zu messende Planet, um nur ein Beispiel zu nehmen, den einen der Kreuzfäden berührt, und bringt man nun durch die zu diesem Zwecke angebrachte Schraube den beweglichen Faden ebenfalls zur Berührung des im Fernrohr gesehenen Bildes, so dass der Planet zwischen beiden parallelen Fäden von ihnen berührt erscheint, so ergibt die Schraube, wie viele Schrauben-Umgänge 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+{"basename":"brandes_naturlehre02_1831","par_idx":1430,"date":1831,"orig":"Dieſe wahre Groͤße des Bildes giebt die Groͤße des Sehewinkels, entweder durch die Berechnung des Ganges der Lichtſtrahlen im Fernrohre oder durch Vergleichung mit einem auf der Erde in beſtimmter Entfernung beobachteten Gegenſtande, deſſen ſcheinbare Groͤße man kennt und mit den Angaben des Micrometers vergleicht.","norm":"Diese wahre Größe des Bildes gibt die Größe des Sehwinkels, entweder durch die Berechnung des Ganges der Lichtstrahlen im Fernrohre oder durch Vergleichung mit einem auf der Erde in bestimmter Entfernung beobachteten Gegenstande, dessen scheinbare Größe man kennt und mit den Angaben des Mikrometers 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+{"basename":"brandes_naturlehre02_1831","par_idx":1431,"date":1831,"orig":"Mit dieſer Einrichtung ſtimmen die meiſten Micrometer, wenn gleich die Art, wie das Bild gemeſſen wird, verſchieden iſt, der Hauptſache nach uͤberein . Man bedient ſich aber noch einer zweiten, weſentlich verſchiedenen Art von Micrometern, wo zwei Bilder hervorgebracht und beobachtet werden; dieſe ſind unter dem Namen Heliometer, Sonnenmeſſer, bekannt.","norm":"Mit dieser Einrichtung stimmen die meisten Mikrometer, wenn gleich die Art, wie das Bild gemessen wird, verschieden ist, der Hauptsache nach überein . Man bedient sich aber noch einer zweiten, wesentlich verschiedenen Art von Mikrometern, wo zwei Bilder hervorgebracht und beobachtet werden; diese sind unter dem Namen Heliometer, Sonnenmesser, 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+{"basename":"brandes_naturlehre02_1831","par_idx":1433,"date":1831,"orig":"Wenn Sie ein convexes Linſenglas aufſtellen, um das Bild eines Gegenſtandes hinter demſelben aufzufangen, ſo koͤnnen Sie die Haͤlfte des Glaſes bedecken, ohne daß das Bild dadurch in ſeiner Geſtalt und Genauigkeit leidet, ſondern es wird nur merklich lichtſchwaͤcher; die Strahlen von der bedeckten Haͤlfte des Glaſes haͤtten zwar neue Strahlen zu Erleuchtung der einzelnen Puncte des Bildes hinzu gelangen laſſen, aber die Form und Groͤße des Bildes haͤtten ſie nicht anders beſtimmt.","norm":"Wenn Sie ein konvexes Linsenglas aufstellen, um das Bild eines Gegenstandes hinter demselben aufzufangen, so können Sie die Hälfte des Glases bedecken, ohne dass das Bild dadurch in seiner Gestalt und Genauigkeit leidet, sondern es wird nur merklich lichtschwächer; die Strahlen von der bedeckten Hälfte des Glases hätten zwar neue Strahlen zu Erleuchtung der einzelnen Punkte des Bildes hinzugelangen lassen, aber die Form und Größe des Bildes hätten sie nicht anders 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+{"basename":"brandes_naturlehre02_1831","par_idx":1434,"date":1831,"orig":"Es laͤßt ſich alſo mit jeder Haͤlfte eines in zwei Haͤlften zerſchnittenen Objectives ein Bild eines Gegenſtandes hervorbringen, und die Bilder, die durch beide genau gleiche Haͤlften hervorgebracht werden, ſind, wenn beide Haͤlften getrennt ſind, genau gleich.","norm":"Es lässt sich also mit jeder Hälfte eines in zwei Hälften zerschnittenen Objektives ein Bild eines Gegenstandes hervorbringen, und die Bilder, die durch beide genau gleiche Hälften hervorgebracht werden, sind, wenn beide Hälften getrennt sind, genau gleich.","orig_tok":["Es","laͤßt","ſich","alſo","mit","jeder","Haͤlfte","eines","in","zwei","Haͤlften","zerſchnittenen","Objectives","ein","Bild","eines","Gegenſtandes","hervorbringen",",","und","die","Bilder",",","die","durch","beide","genau","gleiche","Haͤlften","hervorgebracht","werden",",","ſind",",","wenn","beide","Haͤlften","getrennt","ſind",",","genau","gleich","."],"norm_tok":["Es","lässt","sich","also","mit","jeder","Hälfte","eines","in","zwei","Hälften","zerschnittenen","Objektives","ein","Bild","eines","Gegenstandes","hervorbringen",",","und","die","Bilder",",","die","durch","beide","genau","gleiche","Hälften","hervorgebracht","werden",",","sind",",","wenn","beide","Hälften","getrennt","sind",",","genau","gleich","."],"orig_spans":[[0,2],[3,8],[9,13],[14,18],[19,22],[23,28],[29,36],[37,42],[43,45],[46,50],[51,59],[60,74],[75,85],[86,89],[90,94],[95,100],[101,113],[114,127],[127,128],[129,132],[133,136],[137,143],[143,144],[145,148],[149,154],[155,160],[161,166],[167,174],[175,183],[184,198],[199,205],[205,206],[207,211],[211,212],[213,217],[218,223],[224,232],[233,241],[242,246],[246,247],[248,253],[254,260],[260,261]],"norm_spans":[[0,2],[3,8],[9,13],[14,18],[19,22],[23,28],[29,35],[36,41],[42,44],[45,49],[50,57],[58,72],[73,83],[84,87],[88,92],[93,98],[99,111],[112,125],[125,126],[127,130],[131,134],[135,141],[141,142],[143,146],[147,152],[153,158],[159,164],[165,172],[173,180],[181,195],[196,202],[202,203],[204,208],[208,209],[210,214],[215,220],[221,228],[229,237],[238,242],[242,243],[244,249],[250,256],[256,257]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.210599899291992} +{"basename":"brandes_naturlehre02_1831","par_idx":1435,"date":1831,"orig":"Stellen Sie ſich nun am Ende eines gewoͤhnlichen Fernrohres die eine Haͤlfte des Objectivs feſt eingeſetzt, die andre aber auf die Art beweglich vor, daß ſie mit Huͤlfe einer Schraube in der Richtung der Theilungslinie fortgeſchoben werden kann, daß alſo die bewegliche Haͤlfte DE (Fig. 79.) ungefaͤhr in einer ſolchen Stellung, wie die Figur zeigt, gegen die feſtſtehende Haͤlfte AB ſich befindet.","norm":"Stellen Sie sich nun am Ende eines gewöhnlichen Fernrohres die eine Hälfte des Objektivs fest eingesetzt, die andere aber auf die Art beweglich vor, dass sie mit Hilfe einer Schraube in der Richtung der Teilungslinie fortgeschoben werden kann, dass also die bewegliche Hälfte DE (Fig. 79.) ungefähr in einer solchen Stellung, wie die Figur zeigt, gegen die feststehende Hälfte AB sich 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+{"basename":"brandes_naturlehre02_1831","par_idx":1436,"date":1831,"orig":"Die feſtſtehende Haͤlfte wird das Bild eines nahe an der Axe des Fernrohrs ſtehenden Gegenſtandes immer in F zeigen; das durch die andre Haͤlfte hervorgebrachte Bild f dagegen wird ſich deſto mehr entfernen, je weiter man DE hinaufſchraubt.","norm":"Die feststehende Hälfte wird das Bild eines nahe an der Achse des Fernrohrs stehenden Gegenstandes immer in F zeigen; das durch die andere Hälfte hervorgebrachte Bild f dagegen wird sich desto mehr entfernen, je weiter man DE 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+{"basename":"brandes_naturlehre02_1831","par_idx":1437,"date":1831,"orig":"Waͤhlt man alſo die Stellung der beweglichen Halblinſe ſo, daß der unterſte Punct des Bildes f den oberſten Punct des Bildes F beruͤhrt, ſo lernt man die Groͤße jedes dieſer beiden Bilder kennen; denn da die Haͤlfte DE ſo fortgeſchraubt wird, daß die Axen beider Haͤlften immer parallel bleiben, ſo giebt die Schraube an, um wieviel die Halblinſe oder um wieviel ihre Axe fortgeruͤckt iſt, und dieſes iſt die Groͤße des Bildes, aus welcher ſich, wie bei andern Micrometern, die ſcheinbare Groͤße des Gegenſtandes, der Sehewinkel, unter welchem er erſcheint, ergiebt.","norm":"Wählt man also die Stellung der beweglichen Halblinse so, dass der unterste Punkt des Bildes f den obersten Punkt des Bildes F berührt, so lernt man die Größe jedes dieser beiden Bilder kennen; denn da die Hälfte DE so fortgeschraubt wird, dass die Achsen beider Hälften immer parallel bleiben, so gibt die Schraube an, um wie viel die Halblinse oder um wie viel ihre Achse fortgerückt ist, und dieses ist die Größe des Bildes, aus welcher sich, wie bei anderen Mikrometern, die scheinbare Größe des Gegenstandes, der Sehwinkel, unter welchem er erscheint, 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+{"basename":"brandes_naturlehre02_1831","par_idx":1439,"date":1831,"orig":"Ich habe mir dieſe Frage ſogleich dadurch beantwortet, daß ein ſo feiner, zugleich viel Licht reflectirender Faden nicht genug erhitzt werde, und habe deshalb mit feinen Zwirnfaͤden und Seidenfaͤden, die doch ſchon ungemein dick gegen jene Spinnewebenfaͤden ſind, Verſuche im Brennpuncte einer 5 zolligen Linſe angeſtellt.","norm":"Ich habe mir diese Frage sogleich dadurch beantwortet, dass ein so feiner, zugleich viel Licht reflektierender Faden nicht genug erhitzt werde, und habe deshalb mit feinen Zwirnfäden und Seidenfäden, die doch schon ungemein dick gegen jene Spinnewebenfäden sind, Versuche im Brennpunkte einer 5 zolligen Linse 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+{"basename":"brandes_naturlehre02_1831","par_idx":1440,"date":1831,"orig":"Ein ſchwarzer Faden verbrannte ſogleich, ein rother Seidenfaden auch, ein feiner weißer Zwirnsfaden konnte aber ſchon mit vieler Sicherheit in den Brennpunct gebracht werden, obgleich drei oder vier Faͤden zuſammengedreht, auch wenn ſie weiß waren, in Brand geriethen.","norm":"Ein schwarzer Faden verbrannte sogleich, ein roter Seidenfaden auch, ein feiner weißer Zwirnsfaden konnte aber schon mit vieler Sicherheit in den Brennpunkt gebracht werden, obgleich drei oder vier Fäden zusammengedreht, auch wenn sie weiß waren, in Brand 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+{"basename":"brandes_naturlehre02_1831","par_idx":1441,"date":1831,"orig":"Strahlenbrechung in der Luft.","norm":"Strahlenbrechung in der Luft.","orig_tok":["Strahlenbrechung","in","der","Luft","."],"norm_tok":["Strahlenbrechung","in","der","Luft","."],"orig_spans":[[0,16],[17,19],[20,23],[24,28],[28,29]],"norm_spans":[[0,16],[17,19],[20,23],[24,28],[28,29]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.5485000610351562} +{"basename":"brandes_naturlehre02_1831","par_idx":1442,"date":1831,"orig":"Ich verlaſſe endlich die Inſtrumente, um Sie auf einige Erſcheinungen in der Atmoſphaͤre aufmerkſam zu machen, die ebenfalls von der Brechung der Lichtſtrahlen abhaͤngen; — Erſcheinungen, die zum Theil ſo auffallend ſind, daß ſie als Zauberbilder von den Bewohnern der Gegenden, wo ſie ſich am ſchoͤnſten zeigen, angeſehen werden.","norm":"Ich verlasse endlich die Instrumente, um Sie auf einige 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+{"basename":"brandes_naturlehre02_1831","par_idx":1449,"date":1831,"orig":"Die Strahlenbrechung verlaͤngert daher das Verweilen der Sonne uͤber dem Horizonte, da ſie uns die Sonne ſchon oberhalb des Horizontes zeigt, waͤhrend die grade Linie zur Sonne hin noch die Erde ſchneidet, und ebenſo wird der Untergang der Sonne durch die Strahlenbrechung verzoͤgert.","norm":"Die Strahlenbrechung verlängert daher das Verweilen der Sonne über dem Horizonte, da sie uns die Sonne schon oberhalb des Horizontes zeigt, während die gerade Linie zur Sonne hin noch die Erde schneidet, und ebenso wird der Untergang der Sonne durch die Strahlenbrechung verzögert.","orig_tok":["Die","Strahlenbrechung","verlaͤngert","daher","das","Verweilen","der","Sonne","uͤber","dem","Horizonte",",","da","ſie","uns","die","Sonne","ſchon","oberhalb","des","Horizontes","zeigt",",","waͤhrend","die","grade","Linie","zur","Sonne","hin","noch","die","Erde","ſchneidet",",","und","ebenſo","wird","der","Untergang","der","Sonne","durch","die","Strahlenbrechung","verzoͤgert","."],"norm_tok":["Die","Strahlenbrechung","verlängert","daher","das","Verweilen","der","Sonne","über","dem","Horizonte",",","da","sie","uns","die","Sonne","schon","oberhalb","des","Horizontes","zeigt",",","während","die","gerade","Linie","zur","Sonne","hin","noch","die","Erde","schneidet",",","und","ebenso","wird","der","Untergang","der","Sonne","durch","die","Strahlenbrechung","verzögert","."],"orig_spans":[[0,3],[4,20],[21,32],[33,38],[39,42],[43,52],[53,56],[57,62],[63,68],[69,72],[73,82],[82,83],[84,86],[87,90],[91,94],[95,98],[99,104],[105,110],[111,119],[120,123],[124,134],[135,140],[140,141],[142,150],[151,154],[155,160],[161,166],[167,170],[171,176],[177,180],[181,185],[186,189],[190,194],[195,204],[204,205],[206,209],[210,216],[217,221],[222,225],[226,235],[236,239],[240,245],[246,251],[252,255],[256,272],[273,283],[283,284]],"norm_spans":[[0,3],[4,20],[21,31],[32,37],[38,41],[42,51],[52,55],[56,61],[62,66],[67,70],[71,80],[80,81],[82,84],[85,88],[89,92],[93,96],[97,102],[103,108],[109,117],[118,121],[122,132],[133,138],[138,139],[140,147],[148,151],[152,158],[159,164],[165,168],[169,174],[175,178],[179,183],[184,187],[188,192],[193,202],[202,203],[204,207],[208,214],[215,219],[220,223],[224,233],[234,237],[238,243],[244,249],[250,253],[254,270],[271,280],[280,281]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.624599933624267} +{"basename":"brandes_naturlehre02_1831","par_idx":1450,"date":1831,"orig":"Bei dem mittleren Zuſtande der Atmoſphaͤre kann man ungefaͤhr ſagen, daß eine nach dem oberen Sonnenrande gezogene Linie, von einem wenig uͤber die Meeresflaͤche erhobenen Orte ausgehend, die Meeresflaͤche beruͤhrt, in dem Augenblicke, wo der untere Sonnenrand ſich ſchon ſcheinbar aus dem Meere erhebt.","norm":"Bei dem mittleren Zustande der Atmosphäre kann man ungefähr sagen, dass eine nach dem oberen Sonnenrande gezogene Linie, von einem wenig über die Meeresfläche erhobenen Orte ausgehend, die Meeresfläche berührt, in dem Augenblicke, wo der untere Sonnenrand sich schon scheinbar aus dem Meere erhebt.","orig_tok":["Bei","dem","mittleren","Zuſtande","der","Atmoſphaͤre","kann","man","ungefaͤhr","ſagen",",","daß","eine","nach","dem","oberen","Sonnenrande","gezogene","Linie",",","von","einem","wenig","uͤber","die","Meeresflaͤche","erhobenen","Orte","ausgehend",",","die","Meeresflaͤche","beruͤhrt",",","in","dem","Augenblicke",",","wo","der","untere","Sonnenrand","ſich","ſchon","ſcheinbar","aus","dem","Meere","erhebt","."],"norm_tok":["Bei","dem","mittleren","Zustande","der","Atmosphäre","kann","man","ungefähr","sagen",",","dass","eine","nach","dem","oberen","Sonnenrande","gezogene","Linie",",","von","einem","wenig","über","die","Meeresfläche","erhobenen","Orte","ausgehend",",","die","Meeresfläche","berührt",",","in","dem","Augenblicke",",","wo","der","untere","Sonnenrand","sich","schon","scheinbar","aus","dem","Meere","erhebt","."],"orig_spans":[[0,3],[4,7],[8,17],[18,26],[27,30],[31,42],[43,47],[48,51],[52,61],[62,67],[67,68],[69,72],[73,77],[78,82],[83,86],[87,93],[94,105],[106,114],[115,120],[120,121],[122,125],[126,131],[132,137],[138,143],[144,147],[148,161],[162,171],[172,176],[177,186],[186,187],[188,191],[192,205],[206,214],[214,215],[216,218],[219,222],[223,234],[234,235],[236,238],[239,242],[243,249],[250,260],[261,265],[266,271],[272,281],[282,285],[286,289],[290,295],[296,302],[302,303]],"norm_spans":[[0,3],[4,7],[8,17],[18,26],[27,30],[31,41],[42,46],[47,50],[51,59],[60,65],[65,66],[67,71],[72,76],[77,81],[82,85],[86,92],[93,104],[105,113],[114,119],[119,120],[121,124],[125,130],[131,136],[137,141],[142,145],[146,158],[159,168],[169,173],[174,183],[183,184],[185,188],[189,201],[202,209],[209,210],[211,213],[214,217],[218,229],[229,230],[231,233],[234,237],[238,244],[245,255],[256,260],[261,266],[267,276],[277,280],[281,284],[285,290],[291,297],[297,298]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.482200145721435} +{"basename":"brandes_naturlehre02_1831","par_idx":1451,"date":1831,"orig":"Unſre Geſichtslinie, der Weg, in welchem der Strahl zum Auge koͤmmt, iſt naͤmlich eine gekruͤmmte Linie FED, die vom untern Sonnenrande ausgehend die Meeresflaͤche D beruͤhrt, ſtatt daß die grade Beruͤhrungslinie einen hoͤhern Punct traͤfe, und die grade zu dem Gegenſtande hin gezogene Linie DG die Erde noch in D, H ſchneidet.","norm":"Unsere Gesichtslinie, der Weg, in welchem der Strahl zum Auge kommt, ist nämlich eine gekrümmte Linie Fett, die vom unteren Sonnenrande ausgehend die Meeresfläche D berührt, statt dass die gerade Berührungslinie einen höheren Punkt träfe, und die gerade zu dem Gegenstande hin gezogene Linie DG die Erde noch in D, H 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+{"basename":"brandes_naturlehre02_1831","par_idx":1452,"date":1831,"orig":"Und ſelbſt bei Gegenſtaͤnden auf der Erde wird dieſe Kruͤmmung in erheblichen Entfernungen merklich, ſo daß man beim Nivelliren auf erhebliche Weiten darauf Ruͤckſicht nehmen muß.","norm":"Und selbst bei Gegenständen auf der Erde wird diese Krümmung in erheblichen Entfernungen merklich, so dass man beim Nivellieren auf erhebliche Weiten darauf Rücksicht nehmen muss.","orig_tok":["Und","ſelbſt","bei","Gegenſtaͤnden","auf","der","Erde","wird","dieſe","Kruͤmmung","in","erheblichen","Entfernungen","merklich",",","ſo","daß","man","beim","Nivelliren","auf","erhebliche","Weiten","darauf","Ruͤckſicht","nehmen","muß","."],"norm_tok":["Und","selbst","bei","Gegenständen","auf","der","Erde","wird","diese","Krümmung","in","erheblichen","Entfernungen","merklich",",","so","dass","man","beim","Nivellieren","auf","erhebliche","Weiten","darauf","Rücksicht","nehmen","muss","."],"orig_spans":[[0,3],[4,10],[11,14],[15,28],[29,32],[33,36],[37,41],[42,46],[47,52],[53,62],[63,65],[66,77],[78,90],[91,99],[99,100],[101,103],[104,107],[108,111],[112,116],[117,127],[128,131],[132,142],[143,149],[150,156],[157,167],[168,174],[175,178],[178,179]],"norm_spans":[[0,3],[4,10],[11,14],[15,27],[28,31],[32,35],[36,40],[41,45],[46,51],[52,60],[61,63],[64,75],[76,88],[89,97],[97,98],[99,101],[102,106],[107,110],[111,115],[116,127],[128,131],[132,142],[143,149],[150,156],[157,166],[167,173],[174,178],[178,179]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.24370002746582} +{"basename":"brandes_naturlehre02_1831","par_idx":1453,"date":1831,"orig":"So verhaͤlt es ſich bei dem gewoͤhnlichen Zuſtande der Atmoſphaͤre, wo die Abnahme der Waͤrme in den hoͤhern Luftſchichten gleichmaͤßig und nicht ſo ſehr merklich in geringen Hoͤhen ſtatt findet; iſt aber dieſe Abnahme der Waͤrme in den hoͤhern Luftſchichten unregelmaͤßig, ſo bemerkt man mancherlei auffallende Phaͤnomene.","norm":"So verhält es sich bei dem gewöhnlichen Zustande der Atmosphäre, wo die Abnahme der Wärme in den höheren Luftschichten gleichmäßig und nicht so sehr merklich in geringen Höhen stattfindet; ist aber diese Abnahme der Wärme in den höheren Luftschichten unregelmäßig, so bemerkt man mancherlei auffallende 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abgelenkt finden, den blauen, grünen, gelben, roten in dieser Ordnung immer weniger; so sagen wir, aus dem weißen Lichtstrahl gehen farbige Lichtstrahlen hervor, die ungleich gebrochen werden, der violette am stärksten, der blaue etwas weniger, der grüne, gelbe, orangefarbene immer weniger, der rote am 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+{"basename":"brandes_naturlehre02_1831","par_idx":1526,"date":1831,"orig":"Aus dieſer ungleichen Brechbarkeit laſſen ſich alle Umſtaͤnde, die wir bei dieſem farbigen Sonnenbilde bemerken, erklaͤren, und alle fernern Experimente zeigen, daß wir genoͤthigt ſind, ſie anzunehmen.","norm":"Aus dieser ungleichen Brechbarkeit lassen sich alle Umstände, die wir bei diesem farbigen Sonnenbilde bemerken, erklären, und alle ferneren Experimente zeigen, dass wir genötigt sind, sie 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+{"basename":"brandes_naturlehre02_1831","par_idx":1527,"date":1831,"orig":"Schon Newton machte die Bemerkung, daß das Sonnenbild auch nach dem Durchgange durch das Prisma auf einer dem Strahle ſenkrecht dargebotenen Tafel faſt genau rund, aber roth, erſcheinen wuͤrde, wenn die Sonne uns nur rothe Strahlen zuſendete, Strahlen naͤmlich von gleicher Brechbarkeit; daß eine gelbe Sonne ein andres rundes Bild geben wuͤrde, und zwar etwas weiter von der Richtung der grade fortgehenden Strahlen entfernt, weil die gelben Strahlen etwas mehr gebrochen werden; daß eine gruͤne Sonne, eine blaue Sonne, eine violette Sonne, wenn wir uns ihre Strahlen nach und nach auf gleiche Weiſe einfallend verſchaffen koͤnnten, ein verſchieden gefaͤrbtes rundes Bild, jedes folgende weiter von der Richtung des ungebrochenen Strahles entfernt, geben wuͤrden.","norm":"Schon Newton machte die Bemerkung, dass das Sonnenbild auch nach dem Durchgegangen durch das Prisma auf einer dem Strahle senkrecht dargebotenen Tafel fast genau rund, aber rot, erscheinen würde, wenn die Sonne uns nur rote Strahlen zusendete, Strahlen nämlich von gleicher Brechbarkeit; dass eine gelbe Sonne ein anderes rundes Bild geben würde, und zwar etwas weiter von der Richtung der gerade fortgehenden Strahlen entfernt, weil die gelben Strahlen etwas mehr gebrochen werden; dass eine grüne Sonne, eine blaue Sonne, eine violette Sonne, wenn wir uns ihre Strahlen nach und nach auf gleiche Weise einfallend verschaffen könnten, ein verschieden gefärbtes rundes Bild, jedes folgende weiter von der Richtung des ungebrochenen Strahles entfernt, geben 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Nach dieſer Vorſtellungs-Art iſt alſo das Sonnenlicht eine Miſchung aus den verſchiedenen Farbenſtrahlen, die ich, als ſechs Hauptfarben darbietend, zuerſt nur als ſo viel einzelne Strahlen betrachten will, obgleich dieſe Vorſtellung noch etwas verbeſſert werden muß; jeder Farbenſtrahl erleidet eine andre Brechung, giebt daher nach dem Durchgange durch das Prisma einen in etwas verſchiedener Richtung fortgehenden Strahl und ein eignes Farbenbild.","norm":"Dieses kann entweder so wie Fig . 84. aus einer Reihe von Farben, Violett am einen, rot am anderen Ende, mit Mischungs-Übergängen vom Violett zum Blau, vom Blau zum Grün, vom Grün zum Gelb, vom Gelb zum Orange, vom Orange zum Rot, entstehen, oder sich bloß an den Enden gefärbt, in der Mitte weiß, darstellen, weil die Mischung aus allen Farben, die offenbar in Fig . 85. in der Mitte eintritt, wieder eben die Einwirkung auf unser Gesicht hervorbringt, wie sie bei dem freien Sonnenstrahl, in welchem auch alle jene Farbenstrahlen gemischt waren, stattfand . 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+{"basename":"brandes_naturlehre02_1831","par_idx":1540,"date":1831,"orig":"Bei dieſer Flamme tritt der fuͤr unſern Zweck vortheilhafte Umſtand ein, daß ſie faſt nur rein gelbes Licht, mit einer geringen Beimiſchung violetten Lichtes, ausſendet.","norm":"Bei dieser Flamme tritt der für unseren Zweck vorteilhafte Umstand ein, dass sie fast nur rein gelbes Licht, mit einer geringen Beimischung violetten Lichtes, 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+{"basename":"brandes_naturlehre02_1831","par_idx":1541,"date":1831,"orig":"Bei der Brechung findet daher nur ſofern eine Farbenzerſtreuung, eine Darſtellung verſchiedenfarbiger Erſcheinungen ſtatt, als ſich neben der gelben Hauptflamme noch eine ganz davon getrennte matte violette Flamme zeigt, und die Uebergangsfarben, das Gruͤn und Blau, die ſonſt beide Flammen verbinden, und eben dadurch ein undeutliches Bild, eine breitgezogene Flamme hervorbringen wuͤrden, gar nicht da ſind. —","norm":"Bei der Brechung findet daher nur sofern eine Farbenzerstreuung, eine Darstellung verschiedenfarbiger Erscheinungen statt, als sich neben der gelben Hauptflamme noch eine ganz davon getrennte matte violette Flamme zeigt, und die Übergangsfarben, das Grün und Blau, die sonst beide Flammen verbinden, und eben dadurch ein undeutliches Bild, eine breitgezogene Flamme hervorbringen würden, gar nicht da sind . 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demselben Mischungsverhältnisse vereint, wie im Sonnenstrahl, — eine weiße Erleuchtung hervorgeht, und wo sie in diesem Verhältnisse gemischt das Auge erreichen, das Auge die Empfindung des Weiß erlangt, auf unzählige Weise nachgewiesen werden 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+{"basename":"brandes_naturlehre02_1831","par_idx":1545,"date":1831,"orig":"Auf ſchwarzem Grunde wurden zwei neben einander gezeichnete Quadrate (Fig. 86.) AB, BD, deren eines roth, das andre blau gefaͤrbt war, gelegt; dieſe wurden durch das Prisma, deſſen Seiten mit AD parallel gehalten wurden, betrachtet, und es zeigte ſich nun das rothe Quadrat nicht mehr grade neben dem blauen, ſondern wenn jenes dem Auge nach ab herab geruͤckt erſchien, ſo war das blaue dagegen in der Lage cd zu ſehen; die Brechung der rothen Strahlen war alſo geringer, hatte eine geringere Aenderung der ſcheinbaren Lage hervorgebracht, als die Brechung der blauen Strahlen.","norm":"Auf schwarzem Grunde wurden zwei nebeneinander gezeichnete Quadrate (Fig. 86.) AB, BD, deren eines rot, das andere blau gefärbt war, gelegt; diese wurden durch das Prisma, dessen Seiten mit AD parallel gehalten wurden, betrachtet, und es zeigte sich nun das rote Quadrat nicht mehr gerade neben dem blauen, sondern wenn jenes dem Auge nach ab herab gerückt erschien, so war das blaue dagegen in der Lage cd zu sehen; die Brechung der roten Strahlen war also geringer, hatte eine geringere Änderung der scheinbaren Lage hervorgebracht, als die Brechung der blauen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1546,"date":1831,"orig":"Dieſer Verſuch hat nur darin einige Schwierigkeit, daß unſre Faͤrbeſtoffe nie ganz rein, nur eine Art farbigen Lichtes geben, ſondern immer noch einige Beimiſchung andrer Farben enthalten, und daß uͤberdieß die Oberflaͤche ſelten von einigem ſpiegelnden Glanze frei iſt, der ein aus allen Farben gemiſchtes weißes Licht giebt.","norm":"Dieser Versuch hat nur darin einige Schwierigkeit, dass unsere Färbestoffe nie ganz rein, nur eine Art farbigen Lichtes geben, sondern immer noch einige Beimischung anderer Farben enthalten, und dass überdies die Oberfläche selten von einigem spiegelnden Glanze frei ist, der ein aus allen Farben gemischtes weißes Licht 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+{"basename":"brandes_naturlehre02_1831","par_idx":1547,"date":1831,"orig":"Indeß obgleich das Roth nicht leicht ohne einen gelben Rand an der Seite AE, die der ſtaͤrkern Brechung entſpricht, und noch weniger das Blau ohne einen gruͤnen Rand an der der geringern Brechung entſprechenden Seite BF zu ſein pflegt, ſo iſt doch in der That das Experiment uͤberzeugend genug.","norm":"Indes obgleich das Rot nicht leicht ohne einen gelben Rand an der Seite AE, die der stärkeren Brechung entspricht, und noch weniger das Blau ohne einen grünen Rand an der der geringeren Brechung entsprechenden Seite BF zu sein pflegt, so ist doch in der Tat das Experiment überzeugend 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+{"basename":"brandes_naturlehre02_1831","par_idx":1548,"date":1831,"orig":"Einige Arten von Blumen ſind noch mehr dazu geeignet, indem die Lychnis chalcedonica ein faſt reines Roth, und einige blaue Blumen ein wenigſtens nicht mit allzu erheblichem gruͤnem Rande verſehenes Blau liefern.","norm":"Einige Arten von Blumen sind noch mehr dazu geeignet, indem die Lychnis chalcedonica ein fast reines Rot, und einige blaue Blumen ein wenigstens nicht mit allzu erheblichem grünem Rande versehenes Blau 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+{"basename":"brandes_naturlehre02_1831","par_idx":1549,"date":1831,"orig":"Man kann den Verſuch auch ſo abaͤndern, daß man (Fig. 86.) an den obern Rand des rothen Vier-Eckes ein blaues Blaͤttchen g, einen kleinen Theil des Roth verdeckend, legt; betrachtet man nun das Vier-Eck AB durch das Prisma, ſo daß es nach ab herabgeruͤckt erſcheint, ſo ſieht man bei gI einen dunkeln Fleck ohne Farbe, das Blau aber zeigt ſich bei e als einen violettern Schimmer auf dem Roth verbreitend.","norm":"Man kann den Versuch auch so abändern, dass man (Fig . 86.) an den oberen Rand des roten Viereckes ein blaues Blättchen g, einen kleinen Teil des Rot verdeckend, legt; betrachtet man nun das Viereck AB durch das Prisma, so dass es nach ab herabgerückt erscheint, so sieht man bei gI einen dunklen Fleck ohne Farbe, das Blau aber zeigt sich bei e als einen violetteren Schimmer auf dem Rot 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+{"basename":"brandes_naturlehre02_1831","par_idx":1550,"date":1831,"orig":"In der Gegend gI erſcheinen dem Auge gar keine Farbenſtrahlen, von dort koͤmmt gar kein Licht zum Auge, indem dort keine rothe, einer geringen Brechung empfaͤngliche Strahlen ausgehen, die blauen aber, ſtaͤrker gebrochen, das Auge ſo treffen, als ob ſie von e ausgingen.","norm":"In der Gegend gI erscheinen dem Auge gar keine Farbenstrahlen, von dort kommt gar kein Licht zum Auge, indem dort keine rote, einer geringen Brechung empfängliche Strahlen ausgehen, die blauen aber, stärker gebrochen, das Auge so treffen, als ob sie von e 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+{"basename":"brandes_naturlehre02_1831","par_idx":1551,"date":1831,"orig":"Daß aus dem weißen Sonnenlichte ein farbiges Bild hervorging, hatte Newton durch einen aͤhnlichen Verſuch, wie den oben beſchriebenen, gezeigt; aber es konnte nun die Frage entſtehen, ob denn nicht durch eine neue Brechung jeder Farbenſtrahl ſich abermals ebenſo in neue Strahlen zerſtreuen oder ausbreiten werde.","norm":"Dass aus dem weißen Sonnenlichte ein farbiges Bild hervorging, hatte Newton durch einen ähnlichen Versuch, wie den oben beschriebenen, gezeigt; aber es konnte nun die Frage entstehen, ob denn nicht durch eine neue Brechung jeder Farbenstrahl sich abermals ebenso in neue Strahlen zerstreuen oder ausbreiten 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+{"basename":"brandes_naturlehre02_1831","par_idx":1553,"date":1831,"orig":"Um das erſtere zu bewirken, wurde der durch das Prisma A (Fig. 87.) gebrochene Strahl durch eine kleine Oeffnung B und abermals durch eine kleine Oeffnung C durchgelaſſen; dadurch konnte man, indem die Mitte des rothen Strahles durch B nach C fiel, alles Gelb, und ſo, bei aͤhnlicher Anwendung eines andern Farbenſtrahles, faſt alles fremde Licht entfernt halten, alſo auf das Prisma D moͤglichſt reines, einfarbiges Licht fallen laſſen.","norm":"Um das erstere zu bewirken, wurde der durch das Prisma A (Fig. 87.) gebrochene Strahl durch eine kleine Öffnung B und abermals durch eine kleine Öffnung C durchgelassen; dadurch konnte man, indem die Mitte des roten Strahles durch B nach C fiel, alles Gelb, und so, bei ähnlicher Anwendung eines anderen Farbenstrahles, fast alles fremde Licht entfernt halten, also auf das Prisma D möglichst reines, einfarbiges Licht fallen lassen.","orig_tok":["Um","das","erſtere","zu","bewirken",",","wurde","der","durch","das","Prisma","A","(","Fig.","87.",")","gebrochene","Strahl","durch","eine","kleine","Oeffnung","B","und","abermals","durch","eine","kleine","Oeffnung","C","durchgelaſſen",";","dadurch","konnte","man",",","indem","die","Mitte","des","rothen","Strahles","durch","B","nach","C","fiel",",","alles","Gelb",",","und","ſo",",","bei","aͤhnlicher","Anwendung","eines","andern","Farbenſtrahles",",","faſt","alles","fremde","Licht","entfernt","halten",",","alſo","auf","das","Prisma","D","moͤglichſt","reines",",","einfarbiges","Licht","fallen","laſſen","."],"norm_tok":["Um","das","erstere","zu","bewirken",",","wurde","der","durch","das","Prisma","A","(","Fig",".","87.",")","gebrochene","Strahl","durch","eine","kleine","Öffnung","B","und","abermals","durch","eine","kleine","Öffnung","C","durchgelassen",";","dadurch","konnte","man",",","indem","die","Mitte","des","roten","Strahles","durch","B","nach","C","fiel",",","alles","Gelb",",","und","so",",","bei","ähnlicher","Anwendung","eines","anderen","Farbenstrahles",",","fast","alles","fremde","Licht","entfernt","halten",",","also","auf","das","Prisma","D","möglichst","reines",",","einfarbiges","Licht","fallen","lassen","."],"orig_spans":[[0,2],[3,6],[7,14],[15,17],[18,26],[26,27],[28,33],[34,37],[38,43],[44,47],[48,54],[55,56],[57,58],[58,62],[63,66],[66,67],[68,78],[79,85],[86,91],[92,96],[97,103],[104,112],[113,114],[115,118],[119,127],[128,133],[134,138],[139,145],[146,154],[155,156],[157,170],[170,171],[172,179],[180,186],[187,190],[190,191],[192,197],[198,201],[202,207],[208,211],[212,218],[219,227],[228,233],[234,235],[236,240],[241,242],[243,247],[247,248],[249,254],[255,259],[259,260],[261,264],[265,267],[267,268],[269,272],[273,283],[284,293],[294,299],[300,306],[307,321],[321,322],[323,327],[328,333],[334,340],[341,346],[347,355],[356,362],[362,363],[364,368],[369,372],[373,376],[377,383],[384,385],[386,396],[397,403],[403,404],[405,416],[417,422],[423,429],[430,436],[436,437]],"norm_spans":[[0,2],[3,6],[7,14],[15,17],[18,26],[26,27],[28,33],[34,37],[38,43],[44,47],[48,54],[55,56],[57,58],[58,61],[61,62],[63,66],[66,67],[68,78],[79,85],[86,91],[92,96],[97,103],[104,111],[112,113],[114,117],[118,126],[127,132],[133,137],[138,144],[145,152],[153,154],[155,168],[168,169],[170,177],[178,184],[185,188],[188,189],[190,195],[196,199],[200,205],[206,209],[210,215],[216,224],[225,230],[231,232],[233,237],[238,239],[240,244],[244,245],[246,251],[252,256],[256,257],[258,261],[262,264],[264,265],[266,269],[270,279],[280,289],[290,295],[296,303],[304,318],[318,319],[320,324],[325,330],[331,337],[338,343],[344,352],[353,359],[359,360],[361,365],[366,369],[370,373],[374,380],[381,382],[383,392],[393,399],[399,400],[401,412],[413,418],[419,425],[426,432],[432,433]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[24,25],[25,26],[26,27],[27,28],[28,29],[29,30],[30,31],[31,32],[32,33],[33,34],[34,35],[35,36],[36,37],[37,38],[38,39],[39,40],[40,41],[41,42],[42,43],[43,44],[44,45],[45,46],[46,47],[47,48],[48,49],[49,50],[50,51],[51,52],[52,53],[53,54],[54,55],[55,56],[56,57],[57,58],[58,59],[59,60],[60,61],[61,62],[62,63],[63,64],[64,65],[65,66],[66,67],[67,68],[68,69],[69,70],[70,71],[71,72],[72,73],[73,74],[74,75],[75,76],[76,77],[77,78],[78,79],[79,80],[80,81]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.215199947357178} +{"basename":"brandes_naturlehre02_1831","par_idx":1554,"date":1831,"orig":"Ward nun dieſes im Prisma D zum zweiten Male gebrochen, ſo zeigte ſich, daß dieſer farbige Strahl keine merkliche abermalige Ausbreitung, wie es bei erheblich verſchiedener Brechung ſeiner einzelnen Theile haͤtte ſtatt finden muͤſſen, zeigte; aber daß die neue Ablenkung, die er durch das Prisma D erlitt, am geringſten war, wenn man einen rothen Strahl durch B, C hatte einfallen laſſen, am ſtaͤrkſten, wenn der Strahl violett war, und daß alſo die ſtaͤrkere Brechbarkeit auch hier dem Violett zugehoͤrte, waͤhrend der blaue, gruͤne, gelbe, rothe Strahl ſich in dieſer Ordnung weniger brechbar zeigten.","norm":"Wurde nun dieses im Prisma D zum zweiten Male gebrochen, so zeigte sich, dass dieser farbige Strahl keine merkliche abermalige Ausbreitung, wie es bei erheblich verschiedener Brechung seiner einzelnen Teile hätte stattfinden müssen, zeigte; aber dass die neue Ablenkung, die er durch das Prisma D erlitt, am geringsten war, wenn man einen roten Strahl durch B, C hatte einfallen lassen, am stärksten, wenn der Strahl violett war, und dass also die stärkere Brechbarkeit auch hier dem Violett zugehörte, während der blaue, grüne, gelbe, rote Strahl sich in dieser Ordnung weniger brechbar 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Grotthus Vorſchrift kann man ein fuͤr unſer Auge als ganz rein erſcheinendes Weiß erhalten, wenn man durch zwei Prismen zwei Farbenbilder hervorbringt, die ſo auf einander fallen, daß das Roth des einen das Blaulichgruͤn des andern deckt; dieſes Weiß iſt aber durch das Prisma geſehen, nicht in alle Farben, ſondern nur in die, aus denen es entſtanden iſt, zerlegbar.","norm":"Nach v. Grottos Vorschrift kann man ein für unser Auge als ganz rein erscheinendes Weiß erhalten, wenn man durch zwei Prismen zwei Farbenbilder hervorbringt, die so aufeinander fallen, dass das Rot des einen das Blaulichgrün des anderen deckt; dieses Weiß ist aber durch das Prisma gesehen, nicht in alle Farben, sondern nur in die, aus denen es entstanden ist, 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Zusammenkommen aller Farben außer jener einen, die zugehörige Ergänzungsfarbe 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+{"basename":"brandes_naturlehre02_1831","par_idx":1570,"date":1831,"orig":"Genaue Beſtimmung des Brechungsverhaͤltniſſes fuͤr verſchiedene Farbenſtrahlen.","norm":"Genaue Bestimmung des Brechungsverhältnisses für verschiedene Farbenstrahlen.","orig_tok":["Genaue","Beſtimmung","des","Brechungsverhaͤltniſſes","fuͤr","verſchiedene","Farbenſtrahlen","."],"norm_tok":["Genaue","Bestimmung","des","Brechungsverhältnisses","für","verschiedene","Farbenstrahlen","."],"orig_spans":[[0,6],[7,17],[18,21],[22,45],[46,50],[51,63],[64,78],[78,79]],"norm_spans":[[0,6],[7,17],[18,21],[22,44],[45,48],[49,61],[62,76],[76,77]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.003600120544434} +{"basename":"brandes_naturlehre02_1831","par_idx":1571,"date":1831,"orig":"Von dieſen Verſuchen, welche die vereinte Wirkung mehrerer Farbenſtrahlen betrafen, kehre ich zu der ungleichen Groͤße der Brechung zuruͤck, indem es nicht genug iſt, dieſe Ungleichheit obenhin zu kennen, ſondern auch die Mittel zu einer ganz genauen Beſtimmung vollſtaͤndiger zu uͤberſehen.","norm":"Von diesen Versuchen, welche die vereinte Wirkung mehrerer Farbenstrahlen betrafen, kehre ich zu der ungleichen Größe der Brechung zurück, indem es nicht genug ist, diese Ungleichheit obenhin zu kennen, sondern auch die Mittel zu einer ganz genauen Bestimmung vollständiger zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":1572,"date":1831,"orig":"Um dieſe Beſtimmung zu erhalten, wandte Fraunhofer die ſchon vorhin beſchriebene Einrichtung zu Abmeſſung der Brechung an, die ich kaum noch weiter zu erklaͤren brauche, da die dem Vorigen beizufuͤgende Eroͤrterung ſich leicht von ſelbſt ergiebt.","norm":"Um diese Bestimmung zu erhalten, wandte Fraunhofer die schon vorhin beschriebene Einrichtung zu Abmessung der Brechung an, die ich kaum noch weiter zu erklären brauche, da die dem Vorigen beizufügende Erörterung sich leicht von selbst 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+{"basename":"brandes_naturlehre02_1831","par_idx":1573,"date":1831,"orig":"Wir ſahen es fruͤher (Fig. 61.) ſo an, als ob der nach der Richtung AB auf das Prisma fallende Strahl auch nach der Brechung im Prisma als ein einzelner Strahl, das heißt mit paralleler Richtung aller ſeiner Theile, hervorgehe; aber Sie wiſſen jetzt, daß dieſes nicht der Fall iſt, indem die violetten und rothen Strahlen und ſo auch alle zwiſchenliegenden merklich divergirend hervorgehen; es iſt alſo bei einer genauen Beſtimmung der Brechung noͤthig, mit jedem Farbenſtrahle beſonders die Beobachtung zu wiederholen, und indem man das eine Mal den rothen, das andre Mal den gelben Strahl genau in der Richtung des Fernrohrs ML beobachtet, die entſtandene Ablenkung von der erſten Richtung zu beſtimmen.","norm":"Wir sahen es früher (Fig. 61.) so an, als ob der nach der Richtung AB auf das Prisma fallende Strahl auch nach der Brechung im Prisma als ein einzelner Strahl, das heißt mit paralleler Richtung aller seiner Teile, hervorgehe; aber Sie wissen jetzt, dass dieses nicht der Fall ist, indem die violetten und roten Strahlen und so auch alle zwischenliegenden merklich divergierend hervorgehen; es ist also bei einer genauen Bestimmung der Brechung nötig, mit jedem Farbenstrahl besonders die Beobachtung zu wiederholen, und indem man das eine Mal den roten, das andere Mal den gelben Strahl genau in der Richtung des Fernrohrs ML beobachtet, die entstandene Ablenkung von der ersten Richtung zu 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ganz fehlt, die daher auch im Farbenbilde nicht sich darstellen 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Violett enthalten sind; aber obgleich dies sehr wenig von der Wahrheit abweicht, so zeigen doch die dunklen Linien, die man mit Hilfe des Fernrohres wahrnimmt, dass sehr kleine Lücken auch hier, den großen Lücken in jenem vorigen Beispiele ähnlich, vorhanden 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Ein duͤnner auf das Prisma fallender Strahl breitet ſich faͤcherfoͤrmig aus, wenn er aus dem Prisma hervorgeht, und wenn wir den kleinen Winkel, den der aͤußerſte rothe Strahl mit dem aͤußerſten violetten macht, in tauſend Theile zerlegen, ſo iſt jede dieſer tauſend Abtheilungen als mit Strahlen von ungleicher Brechbarkeit erfuͤllt anzuſehen; indeß lehren Fraunhofers Verſuche, daß unter dieſen tauſend Strahlen, die nach dem Geſetze der Stetigkeit immer einer etwas mehr als der andre gebrochen werden, doch hie und da einer fehlt.","norm":"Wir waren vorhin geneigt von sechs verschiedenen Farbenstrahlen zu reden, oder von sieben, wenn wir Newton folgen wollen, der im Blau zwei Farben unterscheidet; aber wir erkennen jetzt, dass wir viel mehrere ungleich brechbare Strahlen annehmen müssen, wenn gleich unser Auge eine ganze Reihe benachbarter Strahlen grün, eine andere Reihe benachbarter Strahlen gelb nennt, u. s. w. Ein dünner auf das Prisma fallender Strahl breitet sich fächerförmig aus, wenn er aus dem Prisma hervorgeht, und wenn wir den kleinen Winkel, den der äußerste rote Strahl mit dem äußersten violetten macht, in tausend Teile zerlegen, so ist jede dieser tausend Abteilungen als mit Strahlen von ungleicher Brechbarkeit erfüllt anzusehen; indes lehren Fraunhofers Versuche, dass unter diesen tausend Strahlen, die nach dem Gesetze der Stetigkeit immer einer etwas mehr als der andere gebrochen werden, doch hie und da einer 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+{"basename":"brandes_naturlehre02_1831","par_idx":1583,"date":1831,"orig":"So, glaube ich, muß man dieſe wichtige Entdeckung verſtehen, und folglich muͤſſen wir, wenn gleich im Allgemeinen der Glanz des Farbenbildes von den Seiten gegen die Mitte zunimmt, zugeſtehen, daß dieſer Fortgang nicht ſtrenge nach dem Geſetze der Stetigkeit erfolgt.","norm":"So, glaube ich, muss man diese wichtige Entdeckung verstehen, und folglich müssen wir, wenn gleich im Allgemeinen der Glanz des Farbenbildes von den Seiten gegen die Mitte zunimmt, zugestehen, dass dieser Fortgang nicht strenge nach dem Gesetze der Stetigkeit 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+{"basename":"brandes_naturlehre02_1831","par_idx":1584,"date":1831,"orig":"Wollaſton hat dieſe ſchon fruͤher geſehen, aber Fraunhofer entdeckte ſie, ohne dies zu wiſſen, und gab der Entdeckung erſt ihren rechten Werth durch die Anwendung.","norm":"Wollaston hat diese schon früher gesehen, aber Fraunhofer entdeckte sie, ohne dies zu wissen, und gab der Entdeckung erst ihren rechten Wert durch die 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+{"basename":"brandes_naturlehre02_1831","par_idx":1587,"date":1831,"orig":"Jetzt erſt laͤßt ſich alſo von dem Brechungsverhaͤltniſſe fuͤr verſchiedene Koͤrper mit Beſtimmtheit ſprechen, und wenn wir uns fruͤher begnuͤgten, oberflaͤchlich zu ſagen, die Sinus des Einfallswinkels und des Brechungswinkels (das iſt, des Winkels, der zwiſchen dem einfallenden Strahle und dem Einfallslothe liegt, und des Winkels, der zwiſchen dem gebrochenen Strahle und dem Einfallslothe liegt,) haͤtten fuͤr den Uebergang aus dem luftleeren Raume in Waſſer das Verhaͤltniß 1 zu ¾, (oder 1:0,75) oder bei dem Uebergange aus Waſſer in den luftleeren Raum das Verhaͤltniß 1 zu [Formel] , (oder 1 zu 1,3333,) ſo koͤnnen wir jetzt beſtimmter ſagen, daß das letztere Verhaͤltniß durch 1 zu 1,3309 fuͤr eine dunkle Linie, die dem rothen Ende des Bildes nahe iſt, durch 1 zu 1,3336 fuͤr die dunkle Linie zwiſchen Orange und Gelb, durch 1 zu 1,3358 fuͤr eine beſtimmte Stelle des Gruͤn, durch 1 zu 1,3413 fuͤr eine Stelle im tiefen Blau dem Violett nahe, durch 1 zu 1,3442 fuͤr eine beſtimmte Stelle gegen die Grenze des Farbenbildes im Violett, dargeſtellt wird. —","norm":"Jetzt erst lässt sich also von dem Brechungsverhältnisse für verschiedene Körper mit Bestimmtheit sprechen, und wenn wir uns früher begnügten, oberflächlich zu sagen, die Sinus des Einfallswinkels und des Brechungswinkels (das ist, des Winkels, der zwischen dem einfallenden Strahle und dem Einfallslot liegt, und des Winkels, der zwischen dem gebrochenen Strahle und dem Einfallslot liegt,) hätten für den Übergang aus dem luftleeren Raume in Wasser das Verhältnis 1 zu ¾, (oder 1:0,75) oder bei dem Übergange aus Wasser in den luftleeren Raum das Verhältnis 1 zu [Formel], (oder 1 zu 1,3333,) so können wir jetzt bestimmter sagen, dass das letztere Verhältnis durch 1 zu 1,3309 für eine dunkle Linie, die dem roten Ende des Bildes nahe ist, durch 1 zu 1,3336 für die dunkle Linie zwischen Orange und Gelb, durch 1 zu 1,3358 für eine bestimmte Stelle des Grün, durch 1 zu 1,3413 für eine Stelle im tiefen Blau dem Violett nahe, durch 1 zu 1,3442 für eine bestimmte Stelle gegen die Grenze des Farbenbildes im Violett, dargestellt wird . 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AB die weiße Tafel, oberhalb A und unterhalb B ſei die Flaͤche ſchwarz, am beſten ſo, daß ſie gar kein Licht ausſendet.","norm":"Um den Grund, warum die Farbenränder gerade so erscheinen, zu übersehen, sei (Fig. 90.) AB die weiße Tafel, oberhalb A und unterhalb B sei die Fläche schwarz, am besten so, dass sie gar kein Licht 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+{"basename":"brandes_naturlehre02_1831","par_idx":1604,"date":1831,"orig":"So wie wir vorhin die weiße Flaͤche oben mit rothem und gelbem Rande, unten mit violettem und blauem Rande umgeben ſahen, ſo wird, wenn noch immer die Brechung als herunterwaͤrts gehend, den Gegenſtand in einer tiefern Lage zeigend, angenommen wird, eine ſchwarze Flaͤche den violetten und blauen Rand oben, den rothen und gelben Rand unten zeigen.","norm":"So wie wir vorhin die weiße Fläche oben mit rotem und gelbem Rande, unten mit violettem und blauem Rande umgeben sahen, so wird, wenn noch immer die Brechung als herunterwärts gehend, den Gegenstand in einer tieferen Lage zeigend, angenommen wird, eine schwarze Fläche den violetten und blauen Rand oben, den roten und gelben Rand unten 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wieder ein Übergang in Weiß gesehen 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in den roten Strahlen rR, in den grünen geig, in den violetten vv bemerkbar zu machen; bei r sieht das in E stehende Auge noch alle Farben, also Weiß; bei g alle Farben vom Grün bis Violett, also Blau, (indem die Mischung Grün, Blau, Violett, die Mittelfarbe gibt); bei R oder v eine Mischung von Rot und Violett, die sich pfirsichfarben, hellrot, darstellt; bei G fehlt das Violett und Blau, daher Rot, Gelb, Grün, sich als Gelb darstellen; bei V endlich erscheint Weiß, weil alle Farben wieder zusammen 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Betrachtungen.","norm":"Das Prisma, dieses in der Farbenlehre fast unerschöpflichen Reichtum von Erscheinungen darbietende Werkzeug, gibt uns Gelegenheit noch zu mehreren 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+{"basename":"brandes_naturlehre02_1831","par_idx":1620,"date":1831,"orig":"Etwas genau Entſprechendes zeigt der Sonnenſtrahl im finſtern Zimmer.","norm":"Etwas genau Entsprechendes zeigt der Sonnenstrahl im finsteren Zimmer.","orig_tok":["Etwas","genau","Entſprechendes","zeigt","der","Sonnenſtrahl","im","finſtern","Zimmer","."],"norm_tok":["Etwas","genau","Entsprechendes","zeigt","der","Sonnenstrahl","im","finsteren","Zimmer","."],"orig_spans":[[0,5],[6,11],[12,26],[27,32],[33,36],[37,49],[50,52],[53,61],[62,68],[68,69]],"norm_spans":[[0,5],[6,11],[12,26],[27,32],[33,36],[37,49],[50,52],[53,62],[63,69],[69,70]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.619100093841553} +{"basename":"brandes_naturlehre02_1831","par_idx":1621,"date":1831,"orig":"Dreht man das Prisma ſo, daß der Sonnenſtrahl eh nach der Richtung Ga aus dem Prisma hervorgehend nur noch kaum aus dem Glaſe hervordringen kann, ſo ſieht man in dem Farbenbilde a das Violett und Blau zuerſt verſchwinden, waͤhrend die folgenden Farben ſich noch bei a zeigen; dagegen aber nimmt das geſpiegelte Bild, das man bei O wahrnimmt, ſtatt des reinen Weiß eine blauliche Farbe an, zum Zeichen, daß die bei a fehlenden blauen und violetten Farbenſtrahlen ſich jetzt mit dem Spiegelbilde O verbunden haben.","norm":"Dreht man das Prisma so, dass der Sonnenstrahl ehe nach der Richtung Ga aus dem Prisma hervorgehend nur noch kaum aus dem Glase hervordringen kann, so sieht man in dem Farbenbilde a das Violett und Blau zuerst verschwinden, während die folgenden Farben sich noch bei a zeigen; dagegen aber nimmt das gespiegelte Bild, das man bei O wahrnimmt, statt des reinen Weiß eine blauliche Farbe an, zum Zeichen, dass die bei a fehlenden blauen und violetten Farbenstrahlen sich jetzt mit dem Spiegelbilde O verbunden haben.","orig_tok":["Dreht","man","das","Prisma","ſo",",","daß","der","Sonnenſtrahl","eh","nach","der","Richtung","Ga","aus","dem","Prisma","hervorgehend","nur","noch","kaum","aus","dem","Glaſe","hervordringen","kann",",","ſo","ſieht","man","in","dem","Farbenbilde","a","das","Violett","und","Blau","zuerſt","verſchwinden",",","waͤhrend","die","folgenden","Farben","ſich","noch","bei","a","zeigen",";","dagegen","aber","nimmt","das","geſpiegelte","Bild",",","das","man","bei","O","wahrnimmt",",","ſtatt","des","reinen","Weiß","eine","blauliche","Farbe","an",",","zum","Zeichen",",","daß","die","bei","a","fehlenden","blauen","und","violetten","Farbenſtrahlen","ſich","jetzt","mit","dem","Spiegelbilde","O","verbunden","haben","."],"norm_tok":["Dreht","man","das","Prisma","so",",","dass","der","Sonnenstrahl","ehe","nach","der","Richtung","Ga","aus","dem","Prisma","hervorgehend","nur","noch","kaum","aus","dem","Glase","hervordringen","kann",",","so","sieht","man","in","dem","Farbenbilde","a","das","Violett","und","Blau","zuerst","verschwinden",",","während","die","folgenden","Farben","sich","noch","bei","a","zeigen",";","dagegen","aber","nimmt","das","gespiegelte","Bild",",","das","man","bei","O","wahrnimmt",",","statt","des","reinen","Weiß","eine","blauliche","Farbe","an",",","zum","Zeichen",",","dass","die","bei","a","fehlenden","blauen","und","violetten","Farbenstrahlen","sich","jetzt","mit","dem","Spiegelbilde","O","verbunden","haben","."],"orig_spans":[[0,5],[6,9],[10,13],[14,20],[21,23],[23,24],[25,28],[29,32],[33,45],[46,48],[49,53],[54,57],[58,66],[67,69],[70,73],[74,77],[78,84],[85,97],[98,101],[102,106],[107,111],[112,115],[116,119],[120,125],[126,139],[140,144],[144,145],[146,148],[149,154],[155,158],[159,161],[162,165],[166,177],[178,179],[180,183],[184,191],[192,195],[196,200],[201,207],[208,220],[220,221],[222,230],[231,234],[235,244],[245,251],[252,256],[257,261],[262,265],[266,267],[268,274],[274,275],[276,283],[284,288],[289,294],[295,298],[299,310],[311,315],[315,316],[317,320],[321,324],[325,328],[329,330],[331,340],[340,341],[342,347],[348,351],[352,358],[359,363],[364,368],[369,378],[379,384],[385,387],[387,388],[389,392],[393,400],[400,401],[402,405],[406,409],[410,413],[414,415],[416,425],[426,432],[433,436],[437,446],[447,461],[462,466],[467,472],[473,476],[477,480],[481,493],[494,495],[496,505],[506,511],[511,512]],"norm_spans":[[0,5],[6,9],[10,13],[14,20],[21,23],[23,24],[25,29],[30,33],[34,46],[47,50],[51,55],[56,59],[60,68],[69,71],[72,75],[76,79],[80,86],[87,99],[100,103],[104,108],[109,113],[114,117],[118,121],[122,127],[128,141],[142,146],[146,147],[148,150],[151,156],[157,160],[161,163],[164,167],[168,179],[180,181],[182,185],[186,193],[194,197],[198,202],[203,209],[210,222],[222,223],[224,231],[232,235],[236,245],[246,252],[253,257],[258,262],[263,266],[267,268],[269,275],[275,276],[277,284],[285,289],[290,295],[296,299],[300,311],[312,316],[316,317],[318,321],[322,325],[326,329],[330,331],[332,341],[341,342],[343,348],[349,352],[353,359],[360,364],[365,369],[370,379],[380,385],[386,388],[388,389],[390,393],[394,401],[401,402],[403,407],[408,411],[412,415],[416,417],[418,427],[428,434],[435,438],[439,448],[449,463],[464,468],[469,474],[475,478],[479,482],[483,495],[496,497],[498,507],[508,513],[513,514]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87],[88,88],[89,89],[90,90],[91,91],[92,92],[93,93]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.532700061798096} 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reflektierte Strahlen glänzender, indem die vollkommene Spiegelung 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+{"basename":"brandes_naturlehre02_1831","par_idx":1624,"date":1831,"orig":"— Daß die farbigen Bilder, die zugleich vervielfaͤltigten Bilder, die wir durch geſchliffene Steine, durch geſchliffene Cryſtallglaͤſer, durch regelmaͤßig viel-eckige Glaͤſer ſehen, ganz hieher gehoͤren, verſteht ſich von ſelbſt.","norm":"— Dass die farbigen Bilder, die zugleich vervielfältigten Bilder, die wir durch geschliffene Steine, durch geschliffene Kristallgläser, durch regelmäßig viel-eckige Gläser sehen, ganz hierhergehören, versteht sich von 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+{"basename":"brandes_naturlehre02_1831","par_idx":1633,"date":1831,"orig":"Dieſe Verſchiedenheit des Erfolges fuͤr ungleichfarbige Strahlen laͤßt ſich auch an unſern gewoͤhnlichen Linſen wahrnehmen, wenn wir das Sonnenlicht durch ſie ſammeln.","norm":"Diese Verschiedenheit des Erfolges für ungleichfarbige Strahlen lässt sich auch an unseren gewöhnlichen Linsen wahrnehmen, wenn wir das Sonnenlicht durch sie sammeln.","orig_tok":["Dieſe","Verſchiedenheit","des","Erfolges","fuͤr","ungleichfarbige","Strahlen","laͤßt","ſich","auch","an","unſern","gewoͤhnlichen","Linſen","wahrnehmen",",","wenn","wir","das","Sonnenlicht","durch","ſie","ſammeln","."],"norm_tok":["Diese","Verschiedenheit","des","Erfolges","für","ungleichfarbige","Strahlen","lässt","sich","auch","an","unseren","gewöhnlichen","Linsen","wahrnehmen",",","wenn","wir","das","Sonnenlicht","durch","sie","sammeln","."],"orig_spans":[[0,5],[6,21],[22,25],[26,34],[35,39],[40,55],[56,64],[65,70],[71,75],[76,80],[81,83],[84,90],[91,104],[105,111],[112,122],[122,123],[124,128],[129,132],[133,136],[137,148],[149,154],[155,158],[159,166],[166,167]],"norm_spans":[[0,5],[6,21],[22,25],[26,34],[35,38],[39,54],[55,63],[64,69],[70,74],[75,79],[80,82],[83,90],[91,103],[104,110],[111,121],[121,122],[123,127],[128,131],[132,135],[136,147],[148,153],[154,157],[158,165],[165,166]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.742499828338623} +{"basename":"brandes_naturlehre02_1831","par_idx":1634,"date":1831,"orig":"Wenn die Sonnenſtrahlen AB, CD (Fig. 94.) auf das Glas fallen, ſo werden die im Sonnenlichte enthaltenen violetten Strahlen in U, die rothen, als weniger gebrochen, als weniger von ihrer parallelen Richtung abgelenkt, erſt in V in einen Punct vereinigt, und der ganze Raum zwiſchen U, V, iſt als eine Reihe von Brennpuncten zu betrachten.","norm":"Wenn die Sonnenstrahlen AB, CD (Fig. 94.) auf das Glas fallen, so werden die im Sonnenlichte enthaltenen violetten Strahlen in U, die roten, als weniger gebrochen, als weniger von ihrer parallelen Richtung abgelenkt, erst in V in einen Punkt vereinigt, und der ganze Raum zwischen U, V, ist als eine Reihe von Brennpunkten zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":1635,"date":1831,"orig":"Faͤngt man das Licht in der Gegend pq auf einer weißen Tafel auf, ſo erhellt leicht, daß in der Mitte des Strahlenkegels alle Arten farbiger Strahlen vereiniget ſind, alſo in der Mitte der von den geſammelten Strahlen erhellte Raum weiß erſcheint; aber in der Naͤhe von p und q ſind nur rothe Strahlen, weil alle gelben ſchon vor V zuſammen kommen, und der erhellte Raum erſcheint daher, weil das, was ich eben bemerkt habe, gegen alle Raͤnder hin ſtatt findet, mit einem rothen Rande umgeben, der gegen die Mitte hin in Gelb, dann in glaͤnzendes Weiß uͤbergeht.","norm":"Fängt man das Licht in der Gegend pq auf einer weißen Tafel auf, so erhellt leicht, dass in der Mitte des Strahlenkegels alle Arten farbiger Strahlen vereiniget sind, also in der Mitte der von den gesammelten Strahlen erhellte Raum weiß erscheint; aber in der Nähe von p und q sind nur rote Strahlen, weil alle gelben schon vor V zusammen kommen, und der erhellte Raum erscheint daher, weil das, was ich eben bemerkt habe, gegen alle Ränder hin stattfindet, mit einem roten Rande umgeben, der gegen die Mitte hin in Gelb, dann in glänzendes Weiß 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+{"basename":"brandes_naturlehre02_1831","par_idx":1636,"date":1831,"orig":"Stellt man dagegen in rs eine weiße Tafel auf, ſo ſind hier die violetten Strahlen ſchon weit aus einander gegangen, und waͤhrend der erhellte Kreis, der ſich uns zeigt, in der Mitte weiß iſt, ſehen wir ihn mit einem blauen und violetten Rande umgeben.","norm":"Stellt man dagegen in rs eine weiße Tafel auf, so sind hier die violetten Strahlen schon weit auseinander gegangen, und während der erhellte Kreis, der sich uns zeigt, in der Mitte weiß ist, sehen wir ihn mit einem blauen und violetten Rande 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+{"basename":"brandes_naturlehre02_1831","par_idx":1638,"date":1831,"orig":"Wenn ein Microſcop ſehr genau die rothen Gegenſtaͤnde zeigt, ſo iſt es fuͤr die blauen nicht ganz ſtrenge richtig geſtellt, und weiße Gegenſtaͤnde geben kein ganz reines Bild, weil man offenbar nicht zugleich die rothen und blauen Strahlen, die im Weiß enthalten ſind, parallel hervorgehend erhalten kann, wenn ſie von einerlei Puncte ausgehen, aber dann auch das Bild im Auge nicht rein entſtehen kann.","norm":"Wenn ein Mikroskop sehr genau die roten Gegenstände zeigt, so ist es für die blauen nicht ganz strenge richtig gestellt, und weiße Gegenstände geben kein ganz reines Bild, weil man offenbar nicht zugleich die roten und blauen Strahlen, die im Weiß enthalten sind, parallel hervorgehend erhalten kann, wenn sie von einerlei Punkte ausgehen, aber dann auch das Bild im Auge nicht rein entstehen 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werden die roten dort noch nicht vereinigt, sondern erleuchten noch einen kleinen Kreis auf der Netzhaut, so dass sie das ganze Bild undeutlich 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+{"basename":"brandes_naturlehre02_1831","par_idx":1642,"date":1831,"orig":"Wenn die Oeffnung einer Linſe, der freie Raum Im, welcher Licht auffaͤngt (Fig. 96.), ſo klein iſt, wie bei dem Auge, ſo iſt der Nachtheil, der aus der Farbenzerſtreuung und der ungleichen Brechbarkeit hervorgeht, viel weniger erheblich.","norm":"Wenn die Öffnung einer Linse, der freie Raum im, welcher Licht auffängt (Fig. 96.), so klein ist, wie bei dem Auge, so ist der Nachteil, der aus der Farbenzerstreuung und der ungleichen Brechbarkeit hervorgeht, viel weniger 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+{"basename":"brandes_naturlehre02_1831","par_idx":1658,"date":1831,"orig":"Newtons großes Anſehen iſt wohl Urſache geweſen, daß man die Verbeſſerung der Refractoren wirklich lange Zeit ganz vernachlaͤſſigte; aber er hatte ſich in der Meinung, daß die Farbenzerſtreuung auf eine beſtimmte Weiſe an die Brechung gebunden ſei, geirrt, und als Dollond, durch Eulers Unterſuchungen veranlaßt, dieſen Gegenſtand genauer unterſuchte, zeigte es ſich, daß man durch zwei verbundene Prismen aus verſchiedenen Glas-Arten eine Brechung ohne alle Farbenzerſtreuung erhalten koͤnne.","norm":"Newtons großes Ansehen ist wohl Ursache gewesen, dass man die Verbesserung der Refraktoren wirklich lange Zeit ganz vernachlässigte; aber er hatte sich in der Meinung, dass die Farbenzerstreuung auf eine bestimmte Weise an die Brechung gebunden sei, geirrt, und als Dollond, durch Eulers Untersuchungen veranlasst, diesen Gegenstand genauer untersuchte, zeigte es sich, dass man durch zwei verbundene Prismen aus 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+{"basename":"brandes_naturlehre02_1831","par_idx":1659,"date":1831,"orig":"Wenn man zwei gleiche Prismen (Fig. 97.) ſo verbindet, daß ihre Seiten HE, IB und alſo auch HG, CI, parallel werden, ſo erhellt leicht, daß alle Farbenzerſtreuung, aber auch alle Brechung aufgehoben wird; ein einfallender Strahl AB wird zwar in B gebrochen, in C wieder gebrochen, aber da HG, IK parallel ſind, ſo iſt im zweiten Prisma DE mit BC, dann aber auch AB mit EF parallel.","norm":"Wenn man zwei gleiche Prismen (Fig. 97.) so verbindet, dass ihre Seiten HE, IB und also auch HG, CI, parallel werden, so erhellt leicht, dass alle Farbenzerstreuung, aber auch alle Brechung aufgehoben wird; ein einfallender Strahl AB wird zwar in B gebrochen, in C wieder gebrochen, aber da HG, IK parallel sind, so ist im zweiten Prisma DE mit BC, dann aber auch AB mit EF 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+{"basename":"brandes_naturlehre02_1831","par_idx":1660,"date":1831,"orig":"Fallen alſo bei B rothe, gelbe, blaue Strahlen, im weißen Strahle vereinigt, in einerlei Richtung ein, ſo gehen ſie auch in EF wieder parallel fort, und bringen den Eindruck des Weiß im Auge hervor.","norm":"Fallen also bei B rote, gelbe, blaue Strahlen, im weißen Strahle vereinigt, in einerlei Richtung ein, so gehen sie auch in EF wieder parallel fort, und bringen den Eindruck des Weiß im Auge 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+{"basename":"brandes_naturlehre02_1831","par_idx":1661,"date":1831,"orig":"Anders wuͤrde es ſein, wenn zwar die mittleren Strahlen, wofuͤr wir die ungefaͤhr an der Grenze des Gruͤn und Gelb im Farbenbilde liegenden annehmen, gleich gebrochen wuͤrden, aber die Farbenzerſtreuung im zweiten Prisma groͤßer waͤre, als im erſten.","norm":"Anders würde es sein, wenn zwar die mittleren Strahlen, wofür wir die ungefähr an der Grenze des Grün und Gelb im Farbenbilde liegenden annehmen, gleich gebrochen würden, aber die Farbenzerstreuung im zweiten Prisma größer wäre, als im 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+{"basename":"brandes_naturlehre02_1831","par_idx":1662,"date":1831,"orig":"In dieſem Falle wuͤrde es fuͤr jene mittleren Strahlen noch immer gelten, daß EF mit AB parallel waͤre; aber da das Roth im zweiten Prisma weniger, das Violett im zweiten Prisma mehr, als im erſten gebrochen wird, (denn das eben iſt es, was wir ſtaͤrkere Farbenzerſtreuung nennen,) ſo wird bei den aͤußerſten Farbenſtrahlen jene Zuruͤckfuͤhrung zu der parallelen Richtung nicht eintreten, ſondern der rothe Strahl Ef, der violette EfI, werden divergirend hervortreten, ein Auge bei F wird den Gegenſtand A farbig ſehen, obgleich bei den mittleren Strahlen alle Brechung aufgehoben iſt.","norm":"In diesem Falle würde es für jene mittleren Strahlen noch immer gelten, dass EF mit AB parallel wäre; aber da das Rot im zweiten Prisma weniger, das Violett im zweiten Prisma mehr, als im ersten gebrochen wird, (denn das eben ist es, was wir stärkere Farbenzerstreuung nennen,) so wird bei den äußersten Farbenstrahlen jene Zurückführung zu der parallelen Richtung nicht eintreten, sondern der rote Strahl Ef, der violette EfI, werden divergierend hervortreten, ein Auge bei F wird den Gegenstand A farbig sehen, obgleich bei den mittleren Strahlen alle Brechung aufgehoben 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+{"basename":"brandes_naturlehre02_1831","par_idx":1663,"date":1831,"orig":"Eben dieſe Verbindung von zwei ungleichartigen Prismen kann aber nun auch umgekehrt dienen, die ſaͤmmtlichen Farbenſtrahlen in einen weißen Strahl zu vereinigen, waͤhrend doch alle eine Brechung erlitten haben, alſo nicht wieder mit dem einfallenden Strahle parallel geworden ſind.","norm":"Eben diese Verbindung von zwei ungleichartigen Prismen kann aber nun auch umgekehrt dienen, die sämtlichen Farbenstrahlen in einen weißen Strahl zu vereinigen, während doch alle eine Brechung erlitten haben, also nicht wieder mit dem einfallenden Strahle parallel geworden 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+{"basename":"brandes_naturlehre02_1831","par_idx":1664,"date":1831,"orig":"Um die Erreichung dieſes Zweckes am ſchnellſten zu uͤberſehen, ſcheint es mir am beſten, zwei etwas ungleiche Prismen (Fig. 98.) anzunehmen, und zwar das ſchmalere aus dem Koͤrper, welcher am ſtaͤrkſten die Farben zerſtreut; den mittleren Strahlen lege ich noch immer gleiche Brechung in beiden Prismen bei.","norm":"Um die Erreichung dieses Zweckes am schnellsten zu übersehen, scheint es mir am besten, zwei etwas ungleiche Prismen (Fig. 98.) anzunehmen, und zwar das schmalere aus dem Körper, welcher am stärksten die Farben zerstreut; den mittleren Strahlen lege ich noch immer gleiche Brechung in beiden Prismen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1665,"date":1831,"orig":"Tritt nun ein weißer Lichtſtrahl bei B ſenkrecht ein, ſo gehen alle ſeine Farbenſtrahlen ungebrochen bis C durch, werden aber hier ungleich gebrochen, und erreichen in etwas verſchiedenen Richtungen das zweite Prisma.","norm":"Tritt nun ein weißer Lichtstrahl bei B senkrecht ein, so gehen alle seine Farbenstrahlen ungebrochen bis C durch, werden aber hier ungleich gebrochen, und erreichen in etwas verschiedenen Richtungen das zweite 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+{"basename":"brandes_naturlehre02_1831","par_idx":1666,"date":1831,"orig":"Da die beiden Seiten LM, NO parallel ſind und die mittleren Strahlen im zweiten Prisma ebenſo ſtark als im erſten gebrochen werden, ſo iſt fuͤr ſie DE mit BC parallel, aber dieſer Strahl iſt nicht ſenkrecht auf KM, er wird alſo nach EF gebrochen fortgehen.","norm":"Da die beiden Seiten LM, NO parallel sind und die mittleren Strahlen im zweiten Prisma ebenso stark als im ersten gebrochen werden, so ist für sie DE mit BC parallel, aber dieser Strahl ist nicht senkrecht auf KM, er wird also nach EF gebrochen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1667,"date":1831,"orig":"Der rothe Strahl leidet bei D eine etwas geringere Brechung als bei C, er weicht daher von der Richtung AC unterwaͤrts ab, und aus demſelben Grunde weicht der violette Strahl oberwaͤrts, nach einem hoͤhern Puncte zu gehend, ab; indem ſie ſo die Seite KM erreichen, macht der mittlere Strahl einen etwas ſpitzen Winkel mit EK und wird daher in E etwas unterwaͤrts gebrochen; der rothe Strahl, deſſen Richtung etwas mehr unterwaͤrts ging, der aber jetzt weniger gebrochen wird, kann alſo bei richtiger Wahl des Prisma's mit dem mittleren Strahle parallel werden oder wenigſtens wird die Ablenkung vom mittleren Strahle unterwaͤrts, die er ſchon hatte, vermindert; und ebenſo wird die kleine Ablenkung oberwaͤrts, die der violette Strahl hatte, durch ſeine ſtaͤrkere Brechung zum Theil oder ganz aufgehoben.","norm":"Der rote Strahl leidet bei D eine etwas geringere Brechung als bei C, er weicht daher von der Richtung AC unterwärts ab, und aus demselben Grunde weicht der violette Strahl oberwärts, nach einem höheren Punkte zu gehend, ab; indem sie so die Seite KM erreichen, macht der mittlere Strahl einen etwas spitzen Winkel mit EK und wird daher in E etwas unterwärts gebrochen; der rote Strahl, dessen Richtung etwas mehr unterwärts ging, der aber jetzt weniger gebrochen wird, kann also bei richtiger Wahl des Prismas mit dem mittleren Strahle parallel werden oder wenigstens wird die Ablenkung vom mittleren Strahle unterwärts, die er schon hatte, vermindert; und ebenso wird die kleine Ablenkung oberwärts, die der violette Strahl hatte, durch seine stärkere Brechung zum Teil oder ganz 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+{"basename":"brandes_naturlehre02_1831","par_idx":1668,"date":1831,"orig":"Dieſe Ueberlegung zeigt wohl deutlich, daß es moͤglich iſt, einen einfallenden weißen Strahl ſo gebrochen zu erhalten, daß er von ſeiner Richtung abweicht, alſo wirklich gebrochen iſt, doch aber alle Farbenſtrahlen in paralleler Richtung enthaͤlt, das iſt als weißer Strahl erſcheint.","norm":"Diese Überlegung zeigt wohl deutlich, dass es möglich ist, einen einfallenden weißen Strahl so gebrochen zu erhalten, dass er von seiner Richtung abweicht, also wirklich gebrochen ist, doch aber alle Farbenstrahlen in paralleler Richtung enthält, das ist als weißer Strahl erscheint.","orig_tok":["Dieſe","Ueberlegung","zeigt","wohl","deutlich",",","daß","es","moͤglich","iſt",",","einen","einfallenden","weißen","Strahl","ſo","gebrochen","zu","erhalten",",","daß","er","von","ſeiner","Richtung","abweicht",",","alſo","wirklich","gebrochen","iſt",",","doch","aber","alle","Farbenſtrahlen","in","paralleler","Richtung","enthaͤlt",",","das","iſt","als","weißer","Strahl","erſcheint","."],"norm_tok":["Diese","Überlegung","zeigt","wohl","deutlich",",","dass","es","möglich","ist",",","einen","einfallenden","weißen","Strahl","so","gebrochen","zu","erhalten",",","dass","er","von","seiner","Richtung","abweicht",",","also","wirklich","gebrochen","ist",",","doch","aber","alle","Farbenstrahlen","in","paralleler","Richtung","enthält",",","das","ist","als","weißer","Strahl","erscheint","."],"orig_spans":[[0,5],[6,17],[18,23],[24,28],[29,37],[37,38],[39,42],[43,45],[46,54],[55,58],[58,59],[60,65],[66,78],[79,85],[86,92],[93,95],[96,105],[106,108],[109,117],[117,118],[119,122],[123,125],[126,129],[130,136],[137,145],[146,154],[154,155],[156,160],[161,169],[170,179],[180,183],[183,184],[185,189],[190,194],[195,199],[200,214],[215,217],[218,228],[229,237],[238,246],[246,247],[248,251],[252,255],[256,259],[260,266],[267,273],[274,283],[283,284]],"norm_spans":[[0,5],[6,16],[17,22],[23,27],[28,36],[36,37],[38,42],[43,45],[46,53],[54,57],[57,58],[59,64],[65,77],[78,84],[85,91],[92,94],[95,104],[105,107],[108,116],[116,117],[118,122],[123,125],[126,129],[130,136],[137,145],[146,154],[154,155],[156,160],[161,169],[170,179],[180,183],[183,184],[185,189],[190,194],[195,199],[200,214],[215,217],[218,228],[229,237],[238,245],[245,246],[247,250],[251,254],[255,258],[259,265],[266,272],[273,282],[282,283]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.245699882507324} +{"basename":"brandes_naturlehre02_1831","par_idx":1669,"date":1831,"orig":"Zwei ſo zuſammen geordnete Prismen bilden ein achromatiſches, farbenfreies Prisma, welches aber nur da entſtehen kann, wo zwei durchſichtige Koͤrper von ungleicher Farbenzerſtreuung verbunden werden.","norm":"Zwei so zusammen geordnete Prismen bilden ein achromatisches, farbenfreies Prisma, welches aber nur da entstehen kann, wo zwei durchsichtige Körper von ungleicher Farbenzerstreuung verbunden werden.","orig_tok":["Zwei","ſo","zuſammen","geordnete","Prismen","bilden","ein","achromatiſches",",","farbenfreies","Prisma",",","welches","aber","nur","da","entſtehen","kann",",","wo","zwei","durchſichtige","Koͤrper","von","ungleicher","Farbenzerſtreuung","verbunden","werden","."],"norm_tok":["Zwei","so","zusammen","geordnete","Prismen","bilden","ein","achromatisches",",","farbenfreies","Prisma",",","welches","aber","nur","da","entstehen","kann",",","wo","zwei","durchsichtige","Körper","von","ungleicher","Farbenzerstreuung","verbunden","werden","."],"orig_spans":[[0,4],[5,7],[8,16],[17,26],[27,34],[35,41],[42,45],[46,60],[60,61],[62,74],[75,81],[81,82],[83,90],[91,95],[96,99],[100,102],[103,112],[113,117],[117,118],[119,121],[122,126],[127,140],[141,148],[149,152],[153,163],[164,181],[182,191],[192,198],[198,199]],"norm_spans":[[0,4],[5,7],[8,16],[17,26],[27,34],[35,41],[42,45],[46,60],[60,61],[62,74],[75,81],[81,82],[83,90],[91,95],[96,99],[100,102],[103,112],[113,117],[117,118],[119,121],[122,126],[127,140],[141,147],[148,151],[152,162],[163,180],[181,190],[191,197],[197,198]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.6666998863220215} +{"basename":"brandes_naturlehre02_1831","par_idx":1670,"date":1831,"orig":"Als ſolche Koͤrper, die eine ſehr ſtarke Farbenzerſtreuung geben, hat man ſchon fruͤh diejenigen Glas- Arten, die viel Blei enthalten, namentlich das engliſche Flintglas, kennen gelernt.","norm":"Als solche Körper, die eine sehr starke Farbenzerstreuung geben, hat man schon früh diejenigen Glas-Arten, die viel Blei enthalten, namentlich das englische Flintglas, kennen gelernt.","orig_tok":["Als","ſolche","Koͤrper",",","die","eine","ſehr","ſtarke","Farbenzerſtreuung","geben",",","hat","man","ſchon","fruͤh","diejenigen","Glas-","Arten",",","die","viel","Blei","enthalten",",","namentlich","das","engliſche","Flintglas",",","kennen","gelernt","."],"norm_tok":["Als","solche","Körper",",","die","eine","sehr","starke","Farbenzerstreuung","geben",",","hat","man","schon","früh","diejenigen","Glas-Arten",",","die","viel","Blei","enthalten",",","namentlich","das","englische","Flintglas",",","kennen","gelernt","."],"orig_spans":[[0,3],[4,10],[11,18],[18,19],[20,23],[24,28],[29,33],[34,40],[41,58],[59,64],[64,65],[66,69],[70,73],[74,79],[80,85],[86,96],[97,102],[103,108],[108,109],[110,113],[114,118],[119,123],[124,133],[133,134],[135,145],[146,149],[150,159],[160,169],[169,170],[171,177],[178,185],[185,186]],"norm_spans":[[0,3],[4,10],[11,17],[17,18],[19,22],[23,27],[28,32],[33,39],[40,57],[58,63],[63,64],[65,68],[69,72],[73,78],[79,83],[84,94],[95,105],[105,106],[107,110],[111,115],[116,120],[121,130],[130,131],[132,142],[143,146],[147,156],[157,166],[166,167],[168,174],[175,182],[182,183]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,16],[18,17],[19,18],[20,19],[21,20],[22,21],[23,22],[24,23],[25,24],[26,25],[27,26],[28,27],[29,28],[30,29],[31,30]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.751399993896484} +{"basename":"brandes_naturlehre02_1831","par_idx":1671,"date":1831,"orig":"Wenn man, nach der oben angefuͤhrten Fraunhoferſchen Beſtimmung ſich einen genau im Sonnenbilde beſtimmten rothen, gruͤnen und violetten Strahl bemerkt, deren erſter dem einen Ende des Farbenbildes, der zweite der hellſten Gegend des Farbenbildes, der dritte dem letzten Ende des Farbenbildes ziemlich nahe liegt, ſo findet man bei zwei von Fraunhofer angewandten Glasſorten beim Tafelglaſe 1,5258; 1,5330; 1,5466, beim Flintglaſe 1,6277; 1,6420; 1,6711, als die Brechungsverhaͤltniſſe; das heißt, wenn ein weißer Lichtſtrahl 1 Grad vom Einfallslothe abweichend die innere Seite des Glaſes erreicht, ſo iſt fuͤr den in die Luft hervorgegangenen Strahl der Winkel mit dem Einfallslothe 1) beim Tafelglaſe = 1,526 Gr. = 1°.31'.32'' fuͤr den rothen, 1,533 Gr. = 1°.31'.59'' fuͤr den gruͤnen, 1,547 Gr. = 1°.32'.49'' fuͤr den violetten, 2) beim Flintglaſe = 1,623 Gr. = 1°.37'.41'' fuͤr den rothen, 1,642 Gr. = 1°.38'.32'' fuͤr den gruͤnen, 1,671 Gr. = 1°.40'.16'' fu��r den violetten.","norm":"Wenn man, nach der oben angeführten Fraunhoferschen Bestimmung sich einen genau im Sonnenbilde bestimmten roten, grünen und violetten Strahl bemerkt, deren erster dem einen Ende des Farbenbildes, der zweite der hellsten Gegend des Farbenbildes, der dritte dem letzten Ende des Farbenbildes ziemlich nahe liegt, so findet man bei zwei von Fraunhofer angewandten Glassorten beim Tafelglase 1,5258; 1,5330; 1,5466, beim Flintglase 1,6277; 1,6420; 1,6711, als die Brechungsverhältnisse; das heißt, wenn ein weißer Lichtstrahl 1 Grad vom Einfallslot abweichend die innere Seite des Glases erreicht, so ist für den in die Luft hervorgegangenen Strahl der Winkel mit dem Einfallslot 1) beim Tafelglase = 1,526 Gr. = 1 °.31'.32 '' für den roten, 1,533 Gr. = 1 °.31'.59 '' für den grünen, 1,547 Gr. = 1 °.32'.49 '' für den violetten, 2) beim Flintglase = 1,623 Gr. = 1 °.37'.41 '' für den roten, 1,642 Gr. = 1 °.38'.32 '' für den grünen, 1,671 Gr. = 1 °.40'.16 '' für den 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+{"basename":"brandes_naturlehre02_1831","par_idx":1675,"date":1831,"orig":"Alsdann naͤmlich wuͤrde die Vorderflaͤche des zweiten Glaſes ſich genau an die Hinterflaͤche des erſten anlegen und beide Glaͤſer wuͤrden nur ein Glas bilden, und die vierte Flaͤche wuͤrde mit der erſten faſt genau parallel ſein; dadurch wuͤrde, wie bei unſern Uhrglaͤſern mit parallelen Oberflaͤchen, alle Brechung ſo gut wie ganz wegfallen.","norm":"Alsdann nämlich würde die Vorderfläche des zweiten Glases sich genau an die Hinterfläche des ersten anlegen und beide Gläser würden nur ein Glas bilden, und die vierte Fläche würde mit der ersten fast genau parallel sein; dadurch würde, wie bei unseren Uhrgläsern mit parallelen Oberflächen, alle Brechung so gut wie ganz 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+{"basename":"brandes_naturlehre02_1831","par_idx":1676,"date":1831,"orig":"Waͤhlen wir dagegen, noch immer von gleichem Glaſe, ein minder concaves Glas mit Beibehaltung jenes convexen, ſo iſt der Erfolg, daß die im voranſtehenden convexen Glaſe gebrochenen, dem Brennpuncte F (Fig. 99.) zu gehenden Strahlen im concaven Glaſe zwar etwas minder convergent gemacht werden, aber doch noch in einem entlegneren Puncte f, als dem jetzigen Brennpuncte zuſammen kommen.","norm":"Wählen wir dagegen, noch immer von gleichem Glase, ein minder konkaves Glas mit Beibehaltung jenes konvexen, so ist der Erfolg, dass die im voranstehenden konvexen Glase gebrochenen, dem Brennpunkte F (Fig. 99.) zu gehenden Strahlen im konkaven Glase zwar etwas minder convergent gemacht werden, aber doch noch in einem entlegeneren Punkte f, als dem jetzigen Brennpunkte zusammen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1678,"date":1831,"orig":"Offenbar muͤſſen wir auch hier ihre Concavitaͤt ſo waͤhlen, daß ſie die in der erſten Linſe eingetretene Brechung nicht ganz ausgleicht; die Flintglaslinſe muß daher eine viel geringere Concavitaͤt haben, die Halbmeſſer ihrer concaven Oberflaͤchen muͤſſen groͤßer ſein, als die Halbmeſſer der convexen Oberflaͤchen bei der Tafelglaslinſe, und das um deſto mehr, je mehr die mittlere Brechung im Flintglaſe groͤßer iſt, als in dieſem; haben wir ſie aber ſo gewaͤhlt, ſo erhellt die Moͤglichkeit einer Ausgleichung derjenigen Ungleichheit, die bei der erſten Linſe aus der ungleichen Brechung verſchiedener Farbenſtrahlen entſtanden iſt.","norm":"Offenbar müssen wir auch hier ihre Konkavität so wählen, dass sie die in der ersten Linse eingetretene Brechung nicht ganz ausgleicht; die Flintglaslinse muss daher eine viel geringere Konkavität haben, die Halbmesser ihrer konkaven Oberflächen müssen größer sein, als die 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Maße wie F hinaus, und umgekehrt findet für die violetten, die in starkem Maße mehr gebrochen werden, ein stärkeres Vorrücken statt, so dass es möglich ist, alle diese drei Brennpunkte völlig oder sehr nahe in einem Punkte f zu 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gruͤnen 56,286 Zoll, die violetten 54,888 Zoll; es iſt daher ganz deutlich, daß wenn man in 57 Zoll Entfernung eine Tafel aufſtellen wollte, jeder leuchtende weiße Punct nicht einen einzigen Punct des Bildes, ſondern wegen der hier ſchon ſtark aus einander gehenden violetten Strahlen einen kleinen Kreis erhellen wuͤrde, da der rothe und violette Brennpunct um 2,274 Zoll von einander entfernt ſind.","norm":"Wenn man eine Linse von dem oben angenommenen Tafelglase an beiden Seiten gleich in Schalen schleift, deren Halbmesser 60 Zoll ist, so vereinigen sich die Strahlen der drei dort angeführten Farben, die roten in einer Brennweite von 57,162 Zoll, die grünen 56,286 Zoll, die violetten 54,888 Zoll; es ist daher ganz deutlich, dass wenn man in 57 Zoll Entfernung eine Tafel aufstellen wollte, jeder leuchtende weiße Punkt nicht einen einzigen Punkt des Bildes, sondern wegen der hier schon stark auseinander gehenden violetten Strahlen einen kleinen Kreis erhellen würde, da der rote und violette Brennpunkt um 2,274 Zoll voneinander entfernt 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+{"basename":"brandes_naturlehre02_1831","par_idx":1683,"date":1831,"orig":"Man verbindet daher mit dieſem Glaſe eine hohle Flintglaslinſe, deren Zerſtreuungsweite fuͤr die mittleren Strahlen 96,73 Zoll entfernt iſt.","norm":"Man verbindet daher mit diesem Glase eine hohle Flintglaslinse, deren Zerstreuungsweite für die mittleren Strahlen 96,73 Zoll entfernt 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+{"basename":"brandes_naturlehre02_1831","par_idx":1684,"date":1831,"orig":"Eine ſolche Linſe haͤtte ihren Zerſtreuungspunct fuͤr parallel einfallende rothe Strahlen in 98,90 Zoll, fuͤr violette Strahlen in 92,53 Zoll Entfernung; aber den Punct, wo ſie, dicht an der vorigen anliegend, die mittleren Strahlen vereinigt, finden wir 134,61 Zoll, wo ſie die rothen vereinigt, = 135,31 Zoll, wo ſie die violetten vereinigt 134,90 Zoll.","norm":"Eine solche Linse hätte ihren Zerstreuungspunkt für parallel einfallende rote Strahlen in 98,90 Zoll, für violette Strahlen in 92,53 Zoll Entfernung; aber den Punkt, wo sie, dicht an der vorigen anliegend, die mittleren Strahlen vereinigt, finden wir 134,61 Zoll, wo sie die roten vereinigt, = 135,31 Zoll, wo sie die violetten vereinigt 134,90 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+{"basename":"brandes_naturlehre02_1831","par_idx":1688,"date":1831,"orig":"Meine eben gefuͤhrte Berechnung zeigt ſchon, daß die Vereinigung der violetten und gruͤnen Strahlen nicht zugleich die ganz genaue Vereinigung der gruͤnen und rothen Strahlen herbeifuͤhrt; dieſes beruht auf einer Ungleichheit in der Farbenzerſtreuung bei den einzelnen Farben.","norm":"Meine eben geführte Berechnung zeigt schon, dass die Vereinigung der violetten und grünen Strahlen nicht zugleich die ganz genaue Vereinigung der grünen und roten Strahlen herbeiführt; dieses beruht auf einer Ungleichheit in der Farbenzerstreuung bei den einzelnen Farben.","orig_tok":["Meine","eben","gefuͤhrte","Berechnung","zeigt","ſchon",",","daß","die","Vereinigung","der","violetten","und","gruͤnen","Strahlen","nicht","zugleich","die","ganz","genaue","Vereinigung","der","gruͤnen","und","rothen","Strahlen","herbeifuͤhrt",";","dieſes","beruht","auf","einer","Ungleichheit","in","der","Farbenzerſtreuung","bei","den","einzelnen","Farben","."],"norm_tok":["Meine","eben","geführte","Berechnung","zeigt","schon",",","dass","die","Vereinigung","der","violetten","und","grünen","Strahlen","nicht","zugleich","die","ganz","genaue","Vereinigung","der","grünen","und","roten","Strahlen","herbeiführt",";","dieses","beruht","auf","einer","Ungleichheit","in","der","Farbenzerstreuung","bei","den","einzelnen","Farben","."],"orig_spans":[[0,5],[6,10],[11,20],[21,31],[32,37],[38,43],[43,44],[45,48],[49,52],[53,64],[65,68],[69,78],[79,82],[83,90],[91,99],[100,105],[106,114],[115,118],[119,123],[124,130],[131,142],[143,146],[147,154],[155,158],[159,165],[166,174],[175,187],[187,188],[189,195],[196,202],[203,206],[207,212],[213,225],[226,228],[229,232],[233,250],[251,254],[255,258],[259,268],[269,275],[275,276]],"norm_spans":[[0,5],[6,10],[11,19],[20,30],[31,36],[37,42],[42,43],[44,48],[49,52],[53,64],[65,68],[69,78],[79,82],[83,89],[90,98],[99,104],[105,113],[114,117],[118,122],[123,129],[130,141],[142,145],[146,152],[153,156],[157,162],[163,171],[172,183],[183,184],[185,191],[192,198],[199,202],[203,208],[209,221],[222,224],[225,228],[229,246],[247,250],[251,254],[255,264],[265,271],[271,272]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.709000110626221} +{"basename":"brandes_naturlehre02_1831","par_idx":1689,"date":1831,"orig":"Sie wiſſen, daß wir nach Fraunhofers Entdeckung von einem genau beſtimmten rothen, gruͤnen, violetten Strahle, der naͤmlich einer jener im Sonnenlichte immer gleichen dunkeln Linien benachbart iſt, reden koͤnnen; geſetzt nun bei dem Tafelglasprisma haͤtten wir drei Strahlen aufgeſucht, die gleich weit im Farbenbilde aus einander laͤgen, ſo liegen dieſe im Farbenbilde des Flintglasprisma's nicht gleich weit aus einander, und wir ſagen zum Beiſpiel auch in Beziehung auf die im vorigen Beiſpiele angegebenen Brechungsverhaͤltniſſe, daß die Zerſtreuung zwiſchen Gruͤn und Violett im Flintglaſe in Vergleichung gegen Gruͤn und Roth ſtaͤrker iſt . Wegen dieſes ungleichen Verhaͤltniſſes laſſen ſich durch zwei verbundene Linſen nicht alle Farbenſtrahlen voͤllig vereinigen, und die Optiker muͤſſen ſich begnuͤgen, diejenigen Farbenſtrahlen, die am lichtvollſten ſind, gut zu vereinigen, damit die nicht genau in denſelben Brennpunct zu bringenden Strahlen als die ſchwaͤcheren wenig ſchaden.","norm":"Sie wissen, dass wir nach Fraunhofers Entdeckung von einem genau bestimmten roten, grünen, violetten Strahle, der nämlich einer jener im Sonnenlichte immer gleichen dunklen Linien benachbart ist, reden können; gesetzt nun bei dem Tafelglasprisma hätten wir drei Strahlen aufgesucht, die gleich weit im Farbenbilde auseinander lägen, so liegen diese im Farbenbilde des Flintglasprismas nicht gleich weit auseinander, und wir sagen zum Beispiel auch in Beziehung auf die im vorigen Beispiele angegebenen Brechungsverhältnisse, dass die Zerstreuung zwischen Grün und Violett im Flintglase in Vergleichung gegen Grün und Rot stärker ist . Wegen dieses ungleichen Verhältnisses lassen sich durch zwei verbundene Linsen nicht alle Farbenstrahlen völlig vereinigen, und die Optiker müssen sich begnügen, diejenigen Farbenstrahlen, die am lichtvollsten sind, gut zu vereinigen, damit die nicht genau in denselben Brennpunkt zu bringenden Strahlen als die schwächeren wenig 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Brennpunktes; aber diese Bilder sind schwach, weil die allermeisten Strahlen der einen Hälfte des Farbenbildes mit den allermeisten der anderen Hälfte fast ganz zusammenfallen.","orig_tok":["Nach","den","unter","andern","von","Prechtl","gegebenen","Anleitungen","vereinigt","man","am","beſten","das","an","das","Orange","grenzende","lebhaft","rothe","Licht","mit","dem","noch","recht","lichtvollen","tiefen","Blau",";","dann","liegt","freilich","ein","aus","dem","aͤußerſten","Roth","und","dem","aͤußerſten","Violett","gemiſchtes","Bild","ein","wenig","nach","der","einen","Seite",",","ein","ſchwaches","aus","Gruͤn","und","Gelb","gemiſchtes","Bild","an","der","andern","Seite","des","Brennpunctes",";","aber","dieſe","Bilder","ſind","ſchwach",",","weil","die","allermeiſten","Strahlen","der","einen","Haͤlfte","des","Farbenbildes","mit","den","allermeiſten","der","andern","Haͤlfte","faſt","ganz","zuſammenfallen","."],"norm_tok":["Nach","den","unter","anderen","von","Prechtl","gegebenen","Anleitungen","vereinigt","man","am","besten","das","an","das","Orange","grenzende","lebhaft","rote","Licht","mit","dem","noch","recht","lichtvollen","tiefen","Blau",";","dann","liegt","freilich","ein","aus","dem","äußersten","Rot","und","dem","äußersten","Violett","gemischtes","Bild","ein","wenig","nach","der","einen","Seite",",","ein","schwaches","aus","Grün","und","Gelb","gemischtes","Bild","an","der","anderen","Seite","des","Brennpunktes",";","aber","diese","Bilder","sind","schwach",",","weil","die","allermeisten","Strahlen","der","einen","Hälfte","des","Farbenbildes","mit","den","allermeisten","der","anderen","Hälfte","fast","ganz","zusammenfallen","."],"orig_spans":[[0,4],[5,8],[9,14],[15,21],[22,25],[26,33],[34,43],[44,55],[56,65],[66,69],[70,72],[73,79],[80,83],[84,86],[87,90],[91,97],[98,107],[108,115],[116,121],[122,127],[128,131],[132,135],[136,140],[141,146],[147,158],[159,165],[166,170],[170,171],[172,176],[177,182],[183,191],[192,195],[196,199],[200,203],[204,214],[215,219],[220,223],[224,227],[228,238],[239,246],[247,257],[258,262],[263,266],[267,272],[273,277],[278,281],[282,287],[288,293],[293,294],[295,298],[299,308],[309,312],[313,318],[319,322],[323,327],[328,338],[339,343],[344,346],[347,350],[351,357],[358,363],[364,367],[368,380],[380,381],[382,386],[387,392],[393,399],[400,404],[405,412],[412,413],[414,418],[419,422],[423,435],[436,444],[445,448],[449,454],[455,462],[463,466],[467,479],[480,483],[484,487],[488,500],[501,504],[505,511],[512,519],[520,524],[525,529],[530,544],[544,545]],"norm_spans":[[0,4],[5,8],[9,14],[15,22],[23,26],[27,34],[35,44],[45,56],[57,66],[67,70],[71,73],[74,80],[81,84],[85,87],[88,91],[92,98],[99,108],[109,116],[117,121],[122,127],[128,131],[132,135],[136,140],[141,146],[147,158],[159,165],[166,170],[170,171],[172,176],[177,182],[183,191],[192,195],[196,199],[200,203],[204,213],[214,217],[218,221],[222,225],[226,235],[236,243],[244,254],[255,259],[260,263],[264,269],[270,274],[275,278],[279,284],[285,290],[290,291],[292,295],[296,305],[306,309],[310,314],[315,318],[319,323],[324,334],[335,339],[340,342],[343,346],[347,354],[355,360],[361,364],[365,377],[377,378],[379,383],[384,389],[390,396],[397,401],[402,409],[409,410],[411,415],[416,419],[420,432],[433,441],[442,445],[446,451],[452,458],[459,462],[463,475],[476,479],[480,483],[484,496],[497,500],[501,508],[509,515],[516,520],[521,525],[526,540],[540,541]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87],[88,88]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.060999870300293} +{"basename":"brandes_naturlehre02_1831","par_idx":1691,"date":1831,"orig":"Dieſen geringen und bei zwei Linſen unvermeidlichen Chromatismus oder Reſt von Farben, bemerkt man darin, daß der Mond einen ſchwach purpurnen Rand hat, wenn das Ocular ein wenig zu ſehr, einen ſchwach gelbgruͤnen Rand, wenn das Ocular nicht ganz weit genug herausgezogen iſt.","norm":"Diesen geringen und bei zwei Linsen unvermeidlichen Chromatismus oder Rest von Farben, bemerkt man darin, dass der Mond einen schwach purpurnen Rand hat, wenn das Okular ein wenig zu sehr, einen schwach gelbgrünen Rand, wenn das Okular nicht ganz weit genug herausgezogen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1692,"date":1831,"orig":"Gruͤn und Roth divergirten 27'', Gruͤn und Violett 50'' im Tafelglaſe, da nun im Flintglaſe Gruͤn und Roth 50'' divergiren, ſo ſollten Gruͤn und Violett nur 93'' divergiren.","norm":"Grün und Rot divergierten 27 '', Grün und Violett 50 '' im Tafelglase, da nun im Flintglase Grün und Rot 50 '' divergieren, so sollten Grün und Violett nur 93 '' 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+{"basename":"brandes_naturlehre02_1831","par_idx":1693,"date":1831,"orig":"Die Erfahrung giebt aber 105''.","norm":"Die Erfahrung gibt aber 105 ''.","orig_tok":["Die","Erfahrung","giebt","aber","105","''","."],"norm_tok":["Die","Erfahrung","gibt","aber","105","''","."],"orig_spans":[[0,3],[4,13],[14,19],[20,24],[25,28],[28,30],[30,31]],"norm_spans":[[0,3],[4,13],[14,18],[19,23],[24,27],[28,30],[30,31]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":8.369500160217285} +{"basename":"brandes_naturlehre02_1831","par_idx":1694,"date":1831,"orig":"Dieſem Mangel koͤnnte man abhelfen, wenn man zwei Koͤrper faͤnde, in welchen zufaͤllig die Zerſtreuung der einzelnen Farben genau einander gemaͤß waͤre; und dies iſt einer der Gruͤnde, warum Blair und ſpaͤter Barlow Verſuche gemacht haben, eine mit Fluͤſſigkeit gefuͤllte Linſe der Glaslinſe beizufuͤgen, weil uns hier eine groͤßere Mannigfaltigkeit zur Wahl offen ſteht und Miſchungen verſchiedener Fluͤſſigkeiten vielleicht ſo angeordnet werden koͤnnten, daß ſie jenen Zweck, alle Farben zugleich zu zerſtoͤren, erfuͤllten.","norm":"Diesem Mangel könnte man abhelfen, wenn man zwei Körper fände, in welchen zufällig die Zerstreuung der einzelnen Farben genau einander gemäß wäre; und dies ist einer der Gründe, warum Blair und später Barlow Versuche gemacht haben, eine mit Flüssigkeit gefüllte Linse der Glaslinse beizufügen, weil uns hier eine größere Mannigfaltigkeit zur Wahl offen steht und Mischungen verschiedener Flüssigkeiten vielleicht so angeordnet werden könnten, dass sie jenen Zweck, alle Farben zugleich zu zerstören, 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+{"basename":"brandes_naturlehre02_1831","par_idx":1695,"date":1831,"orig":"In der neueſten Zeit iſt vorzuͤglich der Schwefel-Alcohol oder Schwefelkohlenſtoff hiezu empfohlen und als dem Zwecke ſehr entſprechend geruͤhmt worden; auch hat Blair beſonders ſich bemuͤht zu zeigen, daß man die Veraͤnderungen, die ſolche Fluͤſſigkeiten etwa erleiden koͤnnten, bei voͤllig feſter Einſchließung nicht zu fuͤrchten brauche.","norm":"In der neuesten Zeit ist vorzüglich der Schwefel-Alkohol oder Schwefelkohlenstoff hierzu empfohlen und als dem Zwecke sehr entsprechend gerühmt worden; auch hat Blair besonders sich bemüht zu zeigen, dass man die Veränderungen, die solche Flüssigkeiten etwa erleiden könnten, bei völlig fester Einschließung nicht zu fürchten 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+{"basename":"brandes_naturlehre02_1831","par_idx":1696,"date":1831,"orig":"Indeß iſt es mir noch nicht hinreichend bekannt, ob die Proben, die man mit dieſen Fluͤſſigkeiten angeſtellt hat, mit hinreichend großen Objectiven und mit ſtarker Vergroͤßerung angeſtellt ſind; und Fraunhofers Bemerkung, daß eine kleine Temperatur-Aenderung allemal das Bild im Fernrohre bei Anwendung von Fluͤſſigkeiten etwas truͤbe, weil die erkaltenden und die noch nicht erkalteten Theilchen das Licht ungleich brechen, ſcheint mir ſo wichtig, daß ich den Zweifel, ob auch wohl Blair und Barlow ihre Pruͤfungen mit der Strenge angeſtellt haben, die Fraunhofer anzuwenden gewohnt war, noch nicht fuͤr gehoben halte.","norm":"Indes ist es mir noch nicht hinreichend bekannt, ob die Proben, die man mit diesen Flüssigkeiten angestellt hat, mit hinreichend großen Objektiven und mit starker Vergrößerung angestellt sind; und Fraunhofers Bemerkung, dass eine kleine Temperaturänderung allemal das Bild im Fernrohre bei Anwendung von Flüssigkeiten etwas trübe, weil die erkaltenden und die noch nicht erkalteten Teilchen das Licht ungleich brechen, scheint mir so wichtig, dass ich den Zweifel, ob auch wohl Blair und Barlow ihre Prüfungen mit der Strenge angestellt haben, die Fraunhofer anzuwenden gewohnt war, noch nicht für gehoben 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+{"basename":"brandes_naturlehre02_1831","par_idx":1697,"date":1831,"orig":"Jener kleine Reſt von Farben, den man bei Anwendung zweier Glaͤſer nicht wegſchaffen kann, laͤßt ſich heben, wenn man dreifach zuſammengeſetzte Linſen anwendet; aber dieſe dreifachen Objective, die man fruͤher (beſonders wegen der aus der ſphaͤriſchen Geſtalt entſpringenden Abweichung) empfahl, ſcheinen doch, weil an den vielen Oberflaͤchen viel Licht verlohren geht, nicht zweckmaͤßig zu ſein, und Fraunhofers große Fernroͤhre zeigen, daß man auch ohne dieſe Zuſammenſetzung etwas hoͤchſt Vortreffliches liefern kann.","norm":"Jener kleine Rest von Farben, den man bei Anwendung zweier Gläser nicht wegschaffen kann, lässt sich heben, wenn man dreifach zusammengesetzte Linsen anwendet; aber diese dreifachen Objektive, die man früher (besonders wegen der aus der sphärischen Gestalt entspringenden Abweichung) empfahl, scheinen doch, weil an den vielen Oberflächen viel Licht verloren geht, nicht zweckmäßig zu sein, und 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+{"basename":"brandes_naturlehre02_1831","par_idx":1699,"date":1831,"orig":"Sie erinnern ſich, daß, ebenſo wie bei großen kugelfoͤrmigen Hohlſpiegeln ſtatt eines Brennpunctes eine Brennlinie entſtand, auch bei Linſenglaͤſern, wenn ſie erheblich groß werden, wenn die Oeffnung des Objectives bedeutend groß ſein ſoll, eine aͤhnliche Abweichung ſtatt findet, und nicht alle von einem Puncte ausgehenden Strahlen auch in einem Puncte des Bildes geſammelt werden.","norm":"Sie erinnern sich, dass, ebenso wie bei großen kugelförmigen Hohlspiegeln statt eines Brennpunktes eine Brennlinie entstand, auch bei Linsengläsern, wenn sie erheblich groß werden, wenn die Öffnung des Objektives bedeutend groß sein soll, eine ähnliche Abweichung stattfindet, und nicht alle von einem Punkte ausgehenden Strahlen auch in einem Punkte des Bildes gesammelt 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+{"basename":"brandes_naturlehre02_1831","par_idx":1701,"date":1831,"orig":"In Hinſicht auf die Berechnung der richtigen Geſtalt der beiden Glaͤſer bieten ſich hier mannigfaltige Schwierigkeiten dar, die jedoch von dem juͤngern Herſchel durch die von ihm bekannt gemachte Beſtimmung der Form dieſer Glaͤſer, noch fruͤher aber von Fraunhofer, welcher ſeinen Glaͤſern die Form gab, auf welche ſpaͤter auch Herſchel gekommen iſt, ſehr gluͤcklich uͤberwunden worden ſind.","norm":"In Hinsicht auf die Berechnung der richtigen Gestalt der beiden Gläser bieten sich hier mannigfaltige Schwierigkeiten dar, die jedoch von dem jüngern Herschel durch die von ihm bekannt gemachte Bestimmung der Form dieser Gläser, noch früher aber von Fraunhofer, welcher seinen Gläsern die Form gab, auf welche später auch Herschel gekommen ist, sehr glücklich überwunden worden 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+{"basename":"brandes_naturlehre02_1831","par_idx":1705,"date":1831,"orig":"Dieſer Umſtand liegt in der Unvollkommenheit des Glaſes.","norm":"Dieser Umstand liegt in der Unvollkommenheit des Glases.","orig_tok":["Dieſer","Umſtand","liegt","in","der","Unvollkommenheit","des","Glaſes","."],"norm_tok":["Dieser","Umstand","liegt","in","der","Unvollkommenheit","des","Glases","."],"orig_spans":[[0,6],[7,14],[15,20],[21,23],[24,27],[28,44],[45,48],[49,55],[55,56]],"norm_spans":[[0,6],[7,14],[15,20],[21,23],[24,27],[28,44],[45,48],[49,55],[55,56]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.145299911499023} +{"basename":"brandes_naturlehre02_1831","par_idx":1706,"date":1831,"orig":"Ein recht ſchoͤnes Glas, das wir fuͤr ganz gleichartig zu halten geneigt ſind, hat doch ſehr oft kleine Ungleichheiten, die bei der ſcharfen Pruͤfung, die ein Fernrohr bei ſtarker Vergroͤßerung 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+{"basename":"brandes_naturlehre02_1831","par_idx":1709,"date":1831,"orig":"Endlich muß ich denn auch noch mit wenig Worten erwaͤhnen, daß allerdings auch die Augenglaͤſer des Fernrohrs noch eine Farbenzerſtreuung veranlaſſen und einen farbigen Rand hervorbringen, wenn auch das vom Objectivglaſe hervorgebrachte Bild ganz rein von allen Farben waͤre.","norm":"Endlich muss ich denn auch noch mit wenig Worten erwähnen, dass allerdings auch die Augengläser des Fernrohrs noch eine Farbenzerstreuung veranlassen und einen farbigen Rand hervorbringen, wenn auch das vom Objektivglase hervorgebrachte Bild ganz rein von allen Farben 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ziemlich matte Erleuchtung, nämlich nur das Grau eines der Sonne gegenüber stehenden Regenschauers 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+{"basename":"brandes_naturlehre02_1831","par_idx":1723,"date":1831,"orig":"Aber wenn man ſorgfaͤltig die 10 Grad, 20 Grad, 30 Grad von A einfallenden Strahlen zeichnet, ſo ſieht man bald, daß die Bogen bei B, welche dieſe Strahlen oberhalb B abſchneiden, ungleich ſind, und immer kleiner werden, endlich gar kein Hoͤherruͤcken des Punctes E mehr ergeben, ſo daß die bei 50 Grad einfallenden Strahlen den Punct E am hoͤchſten geben und die noch hoͤher bei 70 Grad einfallenden Strahlen wieder naͤher bei B einſchneiden.","norm":"Aber wenn man sorgfältig die 10 Grad, 20 Grad, 30 Grad von A einfallenden Strahlen zeichnet, so sieht man bald, dass die Bogen bei B, welche diese Strahlen oberhalb B abschneiden, ungleich sind, und immer kleiner werden, endlich gar kein Höherücken des Punktes E mehr ergeben, so dass die bei 50 Grad einfallenden Strahlen den Punkt E am höchsten geben und die noch höher bei 70 Grad einfallenden Strahlen wieder näher bei B einschneiden.","orig_tok":["Aber","wenn","man","ſorgfaͤltig","die","10","Grad",",","20","Grad",",","30","Grad","von","A","einfallenden","Strahlen","zeichnet",",","ſo","ſieht","man","bald",",","daß","die","Bogen","bei","B",",","welche","dieſe","Strahlen","oberhalb","B","abſchneiden",",","ungleich","ſind",",","und","immer","kleiner","werden",",","endlich","gar","kein","Hoͤherruͤcken","des","Punctes","E","mehr","ergeben",",","ſo","daß","die","bei","50","Grad","einfallenden","Strahlen","den","Punct","E","am","hoͤchſten","geben","und","die","noch","hoͤher","bei","70","Grad","einfallenden","Strahlen","wieder","naͤher","bei","B","einſchneiden","."],"norm_tok":["Aber","wenn","man","sorgfältig","die","10","Grad",",","20","Grad",",","30","Grad","von","A","einfallenden","Strahlen","zeichnet",",","so","sieht","man","bald",",","dass","die","Bogen","bei","B",",","welche","diese","Strahlen","oberhalb","B","abschneiden",",","ungleich","sind",",","und","immer","kleiner","werden",",","endlich","gar","kein","Höherücken","des","Punktes","E","mehr","ergeben",",","so","dass","die","bei","50","Grad","einfallenden","Strahlen","den","Punkt","E","am","höchsten","geben","und","die","noch","höher","bei","70","Grad","einfallenden","Strahlen","wieder","näher","bei","B","einschneiden","."],"orig_spans":[[0,4],[5,9],[10,13],[14,25],[26,29],[30,32],[33,37],[37,38],[39,41],[42,46],[46,47],[48,50],[51,55],[56,59],[60,61],[62,74],[75,83],[84,92],[92,93],[94,96],[97,102],[103,106],[107,111],[111,112],[113,116],[117,120],[121,126],[127,130],[131,132],[132,133],[134,140],[141,146],[147,155],[156,164],[165,166],[167,178],[178,179],[180,188],[189,193],[193,194],[195,198],[199,204],[205,212],[213,219],[219,220],[221,228],[229,232],[233,237],[238,251],[252,255],[256,263],[264,265],[266,270],[271,278],[278,279],[280,282],[283,286],[287,290],[291,294],[295,297],[298,302],[303,315],[316,324],[325,328],[329,334],[335,336],[337,339],[340,349],[350,355],[356,359],[360,363],[364,368],[369,375],[376,379],[380,382],[383,387],[388,400],[401,409],[410,416],[417,423],[424,427],[428,429],[430,442],[442,443]],"norm_spans":[[0,4],[5,9],[10,13],[14,24],[25,28],[29,31],[32,36],[36,37],[38,40],[41,45],[45,46],[47,49],[50,54],[55,58],[59,60],[61,73],[74,82],[83,91],[91,92],[93,95],[96,101],[102,105],[106,110],[110,111],[112,116],[117,120],[121,126],[127,130],[131,132],[132,133],[134,140],[141,146],[147,155],[156,164],[165,166],[167,178],[178,179],[180,188],[189,193],[193,194],[195,198],[199,204],[205,212],[213,219],[219,220],[221,228],[229,232],[233,237],[238,248],[249,252],[253,260],[261,262],[263,267],[268,275],[275,276],[277,279],[280,284],[285,288],[289,292],[293,295],[296,300],[301,313],[314,322],[323,326],[327,332],[333,334],[335,337],[338,346],[347,352],[353,356],[357,360],[361,365],[366,371],[372,375],[376,378],[379,383],[384,396],[397,405],[406,412],[413,418],[419,422],[423,424],[425,437],[437,438]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.357200145721435} +{"basename":"brandes_naturlehre02_1831","par_idx":1724,"date":1831,"orig":"Man findet naͤmlich fuͤr AD = 10 Grad, BE = 5 Grad; fuͤr AD = 20°, BE = 9¾°; fuͤr AD = 30°, BE = 14°; fuͤr AD = 40°, BE = 17⅔°; fuͤr AD = 50°, BE = 20¼°; fuͤr AD = 60°, BE = 21°; fuͤr AD 70°, BE = 19⅔°; fuͤr AD = 80°, BE = 15¼°; fuͤr AD = 90°, BE = 7¼°.","norm":"Man findet nämlich für AD = 10 Grad, BE = 5 Grad; für AD = 20 °, BE = 93/4 °; für AD = 30 °, BE = 14 °; für AD = 40 °, BE = 17⅔ °; für AD = 50 °, BE = 201/4 °; für AD = 60 °, BE = 21 °; für AD 70 °, BE = 19⅔ °; für AD = 80 °, BE = 151/4 °; für AD = 90 °, BE = 71/4 °.","orig_tok":["Man","findet","naͤmlich","fuͤr","AD","=","10","Grad",",","BE","=","5","Grad",";","fuͤr","AD","=","20","°",",","BE","=","9¾","°",";","fuͤr","AD","=","30","°",",","BE","=","14","°",";","fuͤr","AD","=","40","°",",","BE","=","17⅔","°",";","fuͤr","AD","=","50","°",",","BE","=","20¼","°",";","fuͤr","AD","=","60","°",",","BE","=","21","°",";","fuͤr","AD","70","°",",","BE","=","19⅔","°",";","fuͤr","AD","=","80","°",",","BE","=","15¼","°",";","fuͤr","AD","=","90","°",",","BE","=","7¼","°","."],"norm_tok":["Man","findet","nämlich","für","AD","=","10","Grad",",","BE","=","5","Grad",";","für","AD","=","20","°",",","BE","=","93","/","4","°",";","für","AD","=","30","°",",","BE","=","14","°",";","für","AD","=","40","°",",","BE","=","17⅔","°",";","für","AD","=","50","°",",","BE","=","201","/","4","°",";","für","AD","=","60","°",",","BE","=","21","°",";","für","AD","70","°",",","BE","=","19⅔","°",";","für","AD","=","80","°",",","BE","=","151","/","4","°",";","für","AD","=","90","°",",","BE","=","71","/","4","°","."],"orig_spans":[[0,3],[4,10],[11,19],[20,24],[25,27],[28,29],[30,32],[33,37],[37,38],[39,41],[42,43],[44,45],[46,50],[50,51],[52,56],[57,59],[60,61],[62,64],[64,65],[65,66],[67,69],[70,71],[72,74],[74,75],[75,76],[77,81],[82,84],[85,86],[87,89],[89,90],[90,91],[92,94],[95,96],[97,99],[99,100],[100,101],[102,106],[107,109],[110,111],[112,114],[114,115],[115,116],[117,119],[120,121],[122,125],[125,126],[126,127],[128,132],[133,135],[136,137],[138,140],[140,141],[141,142],[143,145],[146,147],[148,151],[151,152],[152,153],[154,158],[159,161],[162,163],[164,166],[166,167],[167,168],[169,171],[172,173],[174,176],[176,177],[177,178],[179,183],[184,186],[187,189],[189,190],[190,191],[192,194],[195,196],[197,200],[200,201],[201,202],[203,207],[208,210],[211,212],[213,215],[215,216],[216,217],[218,220],[221,222],[223,226],[226,227],[227,228],[229,233],[234,236],[237,238],[239,241],[241,242],[242,243],[244,246],[247,248],[249,251],[251,252],[252,253]],"norm_spans":[[0,3],[4,10],[11,18],[19,22],[23,25],[26,27],[28,30],[31,35],[35,36],[37,39],[40,41],[42,43],[44,48],[48,49],[50,53],[54,56],[57,58],[59,61],[62,63],[63,64],[65,67],[68,69],[70,72],[72,73],[73,74],[75,76],[76,77],[78,81],[82,84],[85,86],[87,89],[90,91],[91,92],[93,95],[96,97],[98,100],[101,102],[102,103],[104,107],[108,110],[111,112],[113,115],[116,117],[117,118],[119,121],[122,123],[124,127],[128,129],[129,130],[131,134],[135,137],[138,139],[140,142],[143,144],[144,145],[146,148],[149,150],[151,154],[154,155],[155,156],[157,158],[158,159],[160,163],[164,166],[167,168],[169,171],[172,173],[173,174],[175,177],[178,179],[180,182],[183,184],[184,185],[186,189],[190,192],[193,195],[196,197],[197,198],[199,201],[202,203],[204,207],[208,209],[209,210],[211,214],[215,217],[218,219],[220,222],[223,224],[224,225],[226,228],[229,230],[231,234],[234,235],[235,236],[237,238],[238,239],[240,243],[244,246],[247,248],[249,251],[252,253],[253,254],[255,257],[258,259],[260,262],[262,263],[263,264],[265,266],[266,267]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[null,23],[null,24],[23,25],[24,26],[25,27],[26,28],[27,29],[28,30],[29,31],[30,32],[31,33],[32,34],[33,35],[34,36],[35,37],[36,38],[37,39],[38,40],[39,41],[40,42],[41,43],[42,44],[43,45],[44,46],[45,47],[46,48],[47,49],[48,50],[49,51],[50,52],[51,53],[52,54],[53,55],[54,56],[55,57],[null,58],[null,59],[56,60],[57,61],[58,62],[59,63],[60,64],[61,65],[62,66],[63,67],[64,68],[65,69],[66,70],[67,71],[68,72],[69,73],[70,74],[71,75],[72,76],[73,77],[74,78],[75,79],[76,80],[77,81],[78,82],[79,83],[80,84],[81,85],[82,86],[83,87],[84,88],[85,89],[86,90],[87,91],[null,92],[null,93],[88,94],[89,95],[90,96],[91,97],[92,98],[93,99],[94,100],[95,101],[96,102],[97,103],[98,104],[null,105],[null,106],[99,107],[100,108]],"lang_fastText":"eb","lang_py3langid":"lb","lang_cld3":"sv","orig_lang_de":0,"norm_lmscore":2.2255001068115234} +{"basename":"brandes_naturlehre02_1831","par_idx":1725,"date":1831,"orig":"Dieſer merkwuͤrdige Umſtand, daß fuͤr die bei 50° und 60° einfallenden Strahlen uv und wx die gebrochenen Strahlen am hoͤchſten und beinahe in einen Punct fallen, hat aber einen Erfolg in Hinſicht auf das reflectirte Licht, woraus die Entſtehung des Regenbogens ſich ſehr beſtimmt erklaͤrt.","norm":"Dieser merkwürdige Umstand, dass für die bei 50 ° und 60 ° einfallenden Strahlen uv und wx die gebrochenen Strahlen am höchsten und beinahe in einen Punkt fallen, hat aber einen Erfolg in Hinsicht auf das reflektierte Licht, woraus die Entstehung des Regenbogens sich sehr bestimmt 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+{"basename":"brandes_naturlehre02_1831","par_idx":1726,"date":1831,"orig":"Wenn wir uns ſtatt des Regentropfens eine Glaskugel denken, ſie wir den Sonnenſtrahlen ſo ausſetzen, daß immer nur 10 Grade in der Gegend von D, v, x, unbedeckt waͤren, ſtatt daß alle uͤbrigen Puncte gegen das auffallende Sonnenlicht beſchuͤtzt wuͤrden, ſo wuͤrde das von A bis 10° auffallende Licht ſich reflectiert auf den Raum Sh, das zwiſchen 10 und 20° einfallende Licht ſich reflectirt auf den Raum hv verbreiten; das von 50 bis 60° auffallende Licht zerſtreut ſich dagegen gar nicht, ſondern bleibt, faſt genau parallel ausfallend, ſo vereinigt, wie es einfiel.","norm":"Wenn wir uns statt des Regentropfens eine Glaskugel denken, sie wir den Sonnenstrahlen so aussetzen, dass immer nur 10 Grade in der Gegend von D, v, x, unbedeckt wären, statt dass alle übrigen Punkte gegen das auffallende Sonnenlicht beschützt würden, so würde das von A bis 10 ° auffallende Licht sich reflektiert auf den Raum Sh, das zwischen 10 und 20 ° einfallende Licht sich reflektiert auf den Raum hv verbreiten; das von 50 bis 60 ° auffallende Licht zerstreut sich dagegen gar nicht, sondern bleibt, fast genau parallel ausfallend, so vereinigt, wie es 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+{"basename":"brandes_naturlehre02_1831","par_idx":1727,"date":1831,"orig":"Ein in y ſtehendes und nach der beleuchteten Hinterſeite der Kugel ſehendes Auge wuͤrde nur durch Zuruͤckwerfung die wenigen Strahlen empfangen, die auf den Bogen von einigen Minuten einfallen; ein bei zz ſtehendes Auge dagegen empfaͤngt alle Strahlen, die als zuruͤckgeworfene dem Bogen von mehreren Graden zugehoͤren, und ein von y nach t, nach zz fortgehendes Auge muß daher von zz aus, nach der Richtung zp blickend, einen viel erheblicheren Glanz bemerken, als in jeder anderen Stellung.","norm":"Ein in y stehendes und nach der beleuchteten Hinterseite der Kugel sehendes Auge würde nur durch Zurückwerfung die wenigen Strahlen empfangen, die auf den Bogen von einigen Minuten einfallen; ein bei zz stehendes Auge dagegen empfängt alle Strahlen, die als zurückgeworfene dem Bogen von mehreren Geraden zugehören, und ein von y nach t, nach zz fortgehendes Auge muss daher von zz aus, nach der Richtung zp blickend, einen viel erheblicheren Glanz bemerken, als in jeder anderen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1728,"date":1831,"orig":"Und dieſe Richtung zp iſt es eben, in welcher wir die helle Erſcheinung des Regenbogens ſehen, der 42 Grade von dem der Sonne gegenuͤberliegenden Puncte, 42 Grade von dem Puncte, wohin der Schatten meines Kopfes faͤllt, erſcheint.","norm":"Und diese Richtung zp ist es eben, in welcher wir die helle Erscheinung des Regenbogens sehen, der 42 Grade von dem der Sonne gegenüberliegenden Punkte, 42 Grade von dem Punkte, wohin der Schatten meines Kopfes fällt, erscheint.","orig_tok":["Und","dieſe","Richtung","zp","iſt","es","eben",",","in","welcher","wir","die","helle","Erſcheinung","des","Regenbogens","ſehen",",","der","42","Grade","von","dem","der","Sonne","gegenuͤberliegenden","Puncte",",","42","Grade","von","dem","Puncte",",","wohin","der","Schatten","meines","Kopfes","faͤllt",",","erſcheint","."],"norm_tok":["Und","diese","Richtung","zp","ist","es","eben",",","in","welcher","wir","die","helle","Erscheinung","des","Regenbogens","sehen",",","der","42","Grade","von","dem","der","Sonne","gegenüberliegenden","Punkte",",","42","Grade","von","dem","Punkte",",","wohin","der","Schatten","meines","Kopfes","fällt",",","erscheint","."],"orig_spans":[[0,3],[4,9],[10,18],[19,21],[22,25],[26,28],[29,33],[33,34],[35,37],[38,45],[46,49],[50,53],[54,59],[60,71],[72,75],[76,87],[88,93],[93,94],[95,98],[99,101],[102,107],[108,111],[112,115],[116,119],[120,125],[126,145],[146,152],[152,153],[154,156],[157,162],[163,166],[167,170],[171,177],[177,178],[179,184],[185,188],[189,197],[198,204],[205,211],[212,218],[218,219],[220,229],[229,230]],"norm_spans":[[0,3],[4,9],[10,18],[19,21],[22,25],[26,28],[29,33],[33,34],[35,37],[38,45],[46,49],[50,53],[54,59],[60,71],[72,75],[76,87],[88,93],[93,94],[95,98],[99,101],[102,107],[108,111],[112,115],[116,119],[120,125],[126,144],[145,151],[151,152],[153,155],[156,161],[162,165],[166,169],[170,176],[176,177],[178,183],[184,187],[188,196],[197,203],[204,210],[211,216],[216,217],[218,227],[227,228]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.866799831390381} 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+{"basename":"brandes_naturlehre02_1831","par_idx":1730,"date":1831,"orig":"Der Regenbogen iſt dieſer helle Kreis, ſein hoͤchſter Punct ſteht 42 Grade uͤber dem Horizonte, wenn der Regenbogen ſich beim Aufgange oder Untergange der Sonne zeigt; ſteigt die Sonne hoͤher, ſo ruͤckt der Schatten meines Kopfes, der Mittelpunct des Regenbogens unter den Horizont hinab und der Bogen ſelbſt erſcheint niedriger; bei 40 Grad Sonnenhoͤhe ſieht man den Regenbogen nur noch ganz nahe am Horizonte und bei noch hoͤherm Stande der Sonne gar nicht mehr.","norm":"Der Regenbogen ist dieser helle Kreis, sein höchster Punkt steht 42 Grade über dem Horizonte, wenn der Regenbogen sich beim Aufgange oder Untergange der Sonne zeigt; steigt die Sonne höher, so rückt der Schatten meines Kopfes, der Mittelpunkt des Regenbogens unter den Horizont hinab und der Bogen selbst erscheint niedriger; bei 40 Grad Sonnenhöhe sieht man den Regenbogen nur noch ganz nahe am Horizonte und bei noch höherem Stande der Sonne gar 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findet.","orig_tok":["Hiebei","laͤßt","ſich","noch","eine","Bemerkung","machen",",","die","man","bei","aufmerkſamer","Beobachtung","beſtaͤtigt","findet","."],"norm_tok":["Hierbei","lässt","sich","noch","eine","Bemerkung","machen",",","die","man","bei","aufmerksamer","Beobachtung","bestätigt","findet","."],"orig_spans":[[0,6],[7,12],[13,17],[18,22],[23,27],[28,37],[38,44],[44,45],[46,49],[50,53],[54,57],[58,70],[71,82],[83,93],[94,100],[100,101]],"norm_spans":[[0,7],[8,13],[14,18],[19,23],[24,28],[29,38],[39,45],[45,46],[47,50],[51,54],[55,58],[59,71],[72,83],[84,93],[94,100],[100,101]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.0524001121521} +{"basename":"brandes_naturlehre02_1831","par_idx":1732,"date":1831,"orig":"Wenn ein Auge in S das an der Hinterſeite des Tropfens geſpiegelte Sonnenbild ſehen will, ſo muß es ſich grade nach A, das iſt nach dem der Sonne entgegengeſetzten Puncte, richten; ein Auge in y muß nach der Richtung yy blicken, ein Auge in t nach tF, und jede dieſer Richtungen iſt etwas weiter von der der Sonne entgegengeſetzten Richtung entfernt, bis man nach z koͤmmt; hier aber iſt der Winkel pzq zwiſchen der Richtung pz, nach welcher jener reflectirte Strahl ins Auge koͤmmt, und der Richtung zq, die den der Sonne entgegengeſetzten Punct bezeichnet, groͤßer als irgendwo; ein Auge jenſeits z erhaͤlt aus dieſem Tropfen gar keinen reflectirten Strahl mehr, weil die bei 80° eingefallenen Strahlen nach der Zuruͤckwerfung in der Richtung nr hervorbringen.","norm":"Wenn ein Auge in S das an der Hinterseite des Tropfens gespiegelte Sonnenbild sehen will, so muss es sich gerade nach A, das ist nach dem der Sonne entgegengesetzten Punkte, richten; ein Auge in y muss nach der Richtung yy blicken, ein Auge in t nach tF, und jede dieser Richtungen ist etwas weiter von der der Sonne entgegengesetzten Richtung entfernt, bis man nach z kommt; hier aber ist der Winkel pzq zwischen der Richtung pz, nach welcher jener reflektierte Strahl ins Auge kommt, und der Richtung zq, die den der Sonne entgegengesetzten Punkt bezeichnet, größer als irgendwo; ein Auge jenseits z erhält aus diesem Tropfen gar keinen reflektierten Strahl mehr, weil die bei 80 ° eingefallenen Strahlen nach der Zurückwerfung in der Richtung nr 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Tropfen in dem reichlichsten Maße erhält, weil es den sich nicht zerstreuenden Strahlen ausgesetzt ist; richtet das Auge in z seinen Blick nach einer mit tF parallelen Richtung, die weniger von zq abweicht, so erhält es aus einem etwas niedrigeren Tropfen den auf 40 Grad eingefallenen Lichtstrahl, und so aus noch niedrigeren Tropfen, die bei 20 Grad eingefallenen Strahlen und so weiter; blickt es aber weiter als zp von zq abwärts, so erhält es durchaus gar keine solche Strahlen, die von der Hinterseite des Tropfens zurückgeworfen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1734,"date":1831,"orig":"In der That bemerkt man, daß die unmittelbar uͤber dem Regenbogen liegende Gegend des Himmels dunkler, als die innerhalb des Regenbogens enthaltene, iſt; man bemerkt dies recht deutlich dann, wenn bei Sonnen-Untergang ein Regenbogen erſcheint, und die roth ſcheinende Sonne den ganzen oͤſtlichen Himmel innerhalb des Regenbogens mit einem roͤthlichen Grau faͤrbt, indem dann der oberhalb des Bogens liegende Theil der Wolken- oder der Regenwand von dieſer roͤthlichen Faͤrbung faſt gar nichts darbietet, deswegen weil ſich innerhalb des Regenbogens mit dem uͤberall von den Wolken und vom Regen zuruͤckgeworfenen Lichte auch noch einige von der Hinterſeite der Tropfen reflectirte Strahlen verbinden, die oberhalb des Regenbogens gaͤnzlich fehlen.","norm":"In der Tat bemerkt man, dass die unmittelbar über dem Regenbogen liegende Gegend des Himmels dunkler, als die innerhalb des Regenbogens enthaltene, ist; man bemerkt dies recht deutlich dann, wenn bei Sonnenuntergang ein Regenbogen erscheint, und die rot scheinende Sonne den ganzen östlichen Himmel innerhalb des Regenbogens mit einem rötlichen Grau färbt, indem dann der oberhalb des Bogens liegende Teil der Wolken- oder der Regenwand von dieser rötlichen Färbung fast gar nichts darbietet, deswegen weil sich innerhalb des Regenbogens mit dem überall von den Wolken und vom Regen zurückgeworfenen Lichte auch noch einige von der Hinterseite der Tropfen reflektierte Strahlen verbinden, die oberhalb des Regenbogens gänzlich 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+{"basename":"brandes_naturlehre02_1831","par_idx":1736,"date":1831,"orig":"Waͤre die Brechung ſtaͤrker, ſo wuͤrde offenbar der Strahl sD einen niedrigern Punct als E, naͤher naͤmlich an B liegend, erreichen, eben darum aber auch bei der Zuruͤckwerfung nicht in F, ſondern zwiſchen F und y ankommen, und alſo in einer weniger gegen SB oder gegen zq geneigten Richtung ins Auge kommen; und da eben das fuͤr die wirkſamen Strahlen pz ſtatt findet, ſo wuͤrde das Auge z den Regenbogen naͤher bei q ſehen, der Regenbogen wuͤrde einen kleinern Halbmeſſer haben, wenn die Strahlen ſtaͤrker gebrochen wuͤrden.","norm":"Wäre die Brechung stärker, so würde offenbar der Strahl sD einen niedrigeren Punkt als E, näher nämlich an B liegend, erreichen, eben darum aber auch bei der Zurückwerfung nicht in F, sondern zwischen F und y ankommen, und also in einer weniger gegen SB oder gegen zq geneigten Richtung ins Auge kommen; und da eben das für die wirksamen Strahlen pz stattfindet, so würde das Auge z den Regenbogen näher bei q sehen, der Regenbogen würde einen kleineren Halbmesser haben, wenn die Strahlen stärker gebrochen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1737,"date":1831,"orig":"In dem Falle, der ſich ſo oft unſrer Beobachtung darbietet, muͤſſen alſo die ſtaͤrker gebrochenen violetten Farbenſtrahlen den innern Rand des Bogens, die minder gebrochenen rothen Farbenſtrahlen, den aͤußern Rand darſtellen, ſo wie es wirklich bei dem Hauptregenbogen der Fall iſt.","norm":"In dem Falle, der sich so oft unserer Beobachtung darbietet, müssen also die stärker gebrochenen violetten Farbenstrahlen den inneren Rand des Bogens, die minder gebrochenen roten Farbenstrahlen, den äußeren Rand darstellen, so wie es wirklich bei dem Hauptregenbogen der Fall ist.","orig_tok":["In","dem","Falle",",","der","ſich","ſo","oft","unſrer","Beobachtung","darbietet",",","muͤſſen","alſo","die","ſtaͤrker","gebrochenen","violetten","Farbenſtrahlen","den","innern","Rand","des","Bogens",",","die","minder","gebrochenen","rothen","Farbenſtrahlen",",","den","aͤußern","Rand","darſtellen",",","ſo","wie","es","wirklich","bei","dem","Hauptregenbogen","der","Fall","iſt","."],"norm_tok":["In","dem","Falle",",","der","sich","so","oft","unserer","Beobachtung","darbietet",",","müssen","also","die","stärker","gebrochenen","violetten","Farbenstrahlen","den","inneren","Rand","des","Bogens",",","die","minder","gebrochenen","roten","Farbenstrahlen",",","den","äußeren","Rand","darstellen",",","so","wie","es","wirklich","bei","dem","Hauptregenbogen","der","Fall","ist","."],"orig_spans":[[0,2],[3,6],[7,12],[12,13],[14,17],[18,22],[23,25],[26,29],[30,36],[37,48],[49,58],[58,59],[60,67],[68,72],[73,76],[77,85],[86,97],[98,107],[108,122],[123,126],[127,133],[134,138],[139,142],[143,149],[149,150],[151,154],[155,161],[162,173],[174,180],[181,195],[195,196],[197,200],[201,208],[209,213],[214,224],[224,225],[226,228],[229,232],[233,235],[236,244],[245,248],[249,252],[253,268],[269,272],[273,277],[278,281],[281,282]],"norm_spans":[[0,2],[3,6],[7,12],[12,13],[14,17],[18,22],[23,25],[26,29],[30,37],[38,49],[50,59],[59,60],[61,67],[68,72],[73,76],[77,84],[85,96],[97,106],[107,121],[122,125],[126,133],[134,138],[139,142],[143,149],[149,150],[151,154],[155,161],[162,173],[174,179],[180,194],[194,195],[196,199],[200,207],[208,212],[213,223],[223,224],[225,227],[228,231],[232,234],[235,243],[244,247],[248,251],[252,267],[268,271],[272,276],[277,280],[280,281]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.103799819946289} +{"basename":"brandes_naturlehre02_1831","par_idx":1738,"date":1831,"orig":"Nimmt man bei Waſſer mit Fraunhofer das Brechungsverhaͤltniß fuͤr rothe Strahlen, die dem Ende des Farbenbildes nahe liegen, wie 1 zu 1,331, fuͤr violette Strahlen 1 zu 1,344, ſo iſt des rothen Bogens Halbmeſſer oder Abſtand vom Schatten des Kopfes des Beobachters 42°.24'; fuͤr den violetten Bogen dagegen 40°.28'.","norm":"Nimmt man bei Wasser mit Fraunhofer das Brechungsverhältnis für rote Strahlen, die dem Ende des Farbenbildes nahe liegen, wie 1 zu 1,331, für violette Strahlen 1 zu 1,344, so ist des roten Bogens Halbmesser oder Abstand vom Schatten des Kopfes des Beobachters 42 °.24'; für den violetten Bogen dagegen 40 °.28'.","orig_tok":["Nimmt","man","bei","Waſſer","mit","Fraunhofer","das","Brechungsverhaͤltniß","fuͤr","rothe","Strahlen",",","die","dem","Ende","des","Farbenbildes","nahe","liegen",",","wie","1","zu","1,331",",","fuͤr","violette","Strahlen","1","zu","1,344",",","ſo","iſt","des","rothen","Bogens","Halbmeſſer","oder","Abſtand","vom","Schatten","des","Kopfes","des","Beobachters","42","°.24","'",";","fuͤr","den","violetten","Bogen","dagegen","40","°.28'","."],"norm_tok":["Nimmt","man","bei","Wasser","mit","Fraunhofer","das","Brechungsverhältnis","für","rote","Strahlen",",","die","dem","Ende","des","Farbenbildes","nahe","liegen",",","wie","1","zu","1,331",",","für","violette","Strahlen","1","zu","1,344",",","so","ist","des","roten","Bogens","Halbmesser","oder","Abstand","vom","Schatten","des","Kopfes","des","Beobachters","42","°",".24","'",";","für","den","violetten","Bogen","dagegen","40","°",".28","'","."],"orig_spans":[[0,5],[6,9],[10,13],[14,20],[21,24],[25,35],[36,39],[40,60],[61,65],[66,71],[72,80],[80,81],[82,85],[86,89],[90,94],[95,98],[99,111],[112,116],[117,123],[123,124],[125,128],[129,130],[131,133],[134,139],[139,140],[141,145],[146,154],[155,163],[164,165],[166,168],[169,174],[174,175],[176,178],[179,182],[183,186],[187,193],[194,200],[201,211],[212,216],[217,224],[225,228],[229,237],[238,241],[242,248],[249,252],[253,264],[265,267],[267,271],[271,272],[272,273],[274,278],[279,282],[283,292],[293,298],[299,306],[307,309],[309,314],[314,315]],"norm_spans":[[0,5],[6,9],[10,13],[14,20],[21,24],[25,35],[36,39],[40,59],[60,63],[64,68],[69,77],[77,78],[79,82],[83,86],[87,91],[92,95],[96,108],[109,113],[114,120],[120,121],[122,125],[126,127],[128,130],[131,136],[136,137],[138,141],[142,150],[151,159],[160,161],[162,164],[165,170],[170,171],[172,174],[175,178],[179,182],[183,188],[189,195],[196,206],[207,211],[212,219],[220,223],[224,232],[233,236],[237,243],[244,247],[248,259],[260,262],[263,264],[264,267],[267,268],[268,269],[270,273],[274,277],[278,287],[288,293],[294,301],[302,304],[305,306],[306,309],[309,310],[310,311]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[47,48],[48,49],[49,50],[50,51],[51,52],[52,53],[53,54],[54,55],[55,56],[56,57],[56,58],[56,59],[57,60]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.295499801635742} +{"basename":"brandes_naturlehre02_1831","par_idx":1739,"date":1831,"orig":"Die mittleren Farben liegen in ihrer gewoͤhnlichen Ordnung zwiſchen beiden.","norm":"Die mittleren Farben liegen in ihrer gewöhnlichen Ordnung zwischen beiden.","orig_tok":["Die","mittleren","Farben","liegen","in","ihrer","gewoͤhnlichen","Ordnung","zwiſchen","beiden","."],"norm_tok":["Die","mittleren","Farben","liegen","in","ihrer","gewöhnlichen","Ordnung","zwischen","beiden","."],"orig_spans":[[0,3],[4,13],[14,20],[21,27],[28,30],[31,36],[37,50],[51,58],[59,67],[68,74],[74,75]],"norm_spans":[[0,3],[4,13],[14,20],[21,27],[28,30],[31,36],[37,49],[50,57],[58,66],[67,73],[73,74]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.008900165557861} +{"basename":"brandes_naturlehre02_1831","par_idx":1740,"date":1831,"orig":"Da die Sonne kein einzelner Punct, ſondern eine ziemlich große Scheibe iſt, ſo ſind die Farben nicht ganz rein.","norm":"Da die Sonne kein einzelner Punkt, sondern eine ziemlich große Scheibe ist, so sind die Farben nicht ganz 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+{"basename":"brandes_naturlehre02_1831","par_idx":1741,"date":1831,"orig":"Verſtehe ich unter dem Mittelpuncte des Bogens den Punct, der genau dem Mittelpuncte der Sonne gegenuͤberſteht, ſo faͤllt der vom obern Sonnenrande entſtehende rothe Bogen 16 Min. tiefer als der vom Sonnenmittelpuncte entſtehende, jener miſcht ſich daher mit dem gelben Bogen des von der untern Haͤlfte der Sonne hervorgebrachten Bogens und die Farben ſind deshalb minder rein, als ſie bei geringerem Durchmeſſer der Sonne ſein wuͤrden.","norm":"Verstehe ich unter dem Mittelpunkte des Bogens den Punkt, der genau dem Mittelpunkte der Sonne gegenübersteht, so fällt der vom oberen Sonnenrande entstehende rote Bogen 16 Min. tiefer als der vom Sonnenmittelpunkte entstehende, jener mischt sich daher mit dem gelben Bogen des von der unteren Hälfte der Sonne hervorgebrachten Bogens und die Farben sind deshalb minder rein, als sie bei geringerem Durchmesser der Sonne sein 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+{"basename":"brandes_naturlehre02_1831","par_idx":1742,"date":1831,"orig":"Entſtehung des zweiten, ſchwaͤcheren Regenbogens.","norm":"Entstehung des zweiten, schwächeren Regenbogens.","orig_tok":["Entſtehung","des","zweiten",",","ſchwaͤcheren","Regenbogens","."],"norm_tok":["Entstehung","des","zweiten",",","schwächeren","Regenbogens","."],"orig_spans":[[0,10],[11,14],[15,22],[22,23],[24,36],[37,48],[48,49]],"norm_spans":[[0,10],[11,14],[15,22],[22,23],[24,35],[36,47],[47,48]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.060800075531006} +{"basename":"brandes_naturlehre02_1831","par_idx":1743,"date":1831,"orig":"Dieſe Betrachtungen betrafen den Hauptregenbogen; der Nebenregenbogen, der gewoͤhnlich ſich auch zeigt, aber allemal viel ſchwaͤcher iſt und oberhalb des Hauptbogens liegt, entſteht durch zweimalige Zuruͤckwerfung der Lichtſtrahlen innerhalb des Tropfens.","norm":"Diese Betrachtungen betrafen den Hauptregenbogen; der Nebenregenbogen, der gewöhnlich sich auch zeigt, aber allemal viel schwächer ist und oberhalb des Hauptbogens liegt, entsteht durch zweimalige Zurückwerfung der Lichtstrahlen innerhalb des 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+{"basename":"brandes_naturlehre02_1831","par_idx":1744,"date":1831,"orig":"Es iſt naͤmlich gewiß, daß beim Eindringen des Lichtſtrahls in D (Fig. 100.), beim Antreffen an die Hinterflaͤche in E, und endlich auch beim zweiten Antreffen an die Oberflaͤche des Tropfens in F, ein Theil des Lichtes reflectirt wird, daß alſo auch in F nicht der ganze bei E zuruͤckgeworfene Strahl hervordringt, ſondern ein, wenn gleich gegen das Ganze geringer Theil eine abermalige Reflexion leidet.","norm":"Es ist nämlich gewiss, dass beim Eindringen des Lichtstrahls in D (Fig. 100.), beim Antreffen an die Hinterfläche in E, und endlich auch beim zweiten Antreffen an die Oberfläche des Tropfens in F, ein Teil des Lichtes reflektiert wird, dass also auch in F nicht der ganze bei E zurückgeworfene Strahl hervordringt, sondern ein, wenn gleich gegen das Ganze geringer Teil eine abermalige Reflexion 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+{"basename":"brandes_naturlehre02_1831","par_idx":1748,"date":1831,"orig":"Die Rechnung giebt fuͤr den Winkel POQ oder fuͤr den Abſtand dieſes hellen Kreiſes vom Schatten des Kopfes 50½ Grad fuͤr die rothen, 53¾ Grad fuͤr die violetten Strahlen.","norm":"Die Rechnung gibt für den Winkel POQ oder für den Abstand dieses hellen Kreises vom Schatten des Kopfes 501/2 Grad für die roten, 533/4 Grad für die violetten 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+{"basename":"brandes_naturlehre02_1831","par_idx":1749,"date":1831,"orig":"Dieſer zweite Regenbogen, der der Natur der Sache nach immer nur matt ſein kann, liegt alſo hoͤher als der Hauptbogen, umgiebt dieſen, und hat das Roth an der innern, das Violett an der aͤußern Seite, weil bei ſtaͤrkerer Brechung der Winkel POQ groͤßer wird.","norm":"Dieser zweite Regenbogen, der der Natur der Sache nach immer nur matt sein kann, liegt also höher als der Hauptbogen, umgibt diesen, und hat das Rot an der inneren, das Violett an der äußeren Seite, weil bei stärkerer Brechung der Winkel POQ größer 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+{"basename":"brandes_naturlehre02_1831","par_idx":1750,"date":1831,"orig":"In der Fig. 102. iſt ungefaͤhr dargeſtellt, wie beide Arten von Strahlen zum Auge O gelangen, indem die bei P liegenden Tropfen den lebhaftern, die bei Q liegenden den ſchwaͤchern Regenbogen darſtellen.","norm":"In der Fig. 102. ist ungefähr dargestellt, wie beide Arten von Strahlen zum Auge O gelangen, indem die bei P liegenden Tropfen den lebhafteren, die bei Q liegenden den schwächeren Regenbogen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1751,"date":1831,"orig":"Um die Bedenklichkeit, ob denn dieſe im Innern des Tropfens reflectirten Strahlen ein ſo glaͤnzendes Phaͤnomen, wie der Regenbogen iſt, hervorbringen koͤnnen, zu beſeitigen, muß ich noch eine Bemerkung beifuͤgen.","norm":"Um die Bedenklichkeit, ob denn diese im Inneren des Tropfens reflektierten Strahlen ein so glänzendes Phänomen, wie der Regenbogen ist, hervorbringen können, zu beseitigen, muss ich noch eine Bemerkung 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+{"basename":"brandes_naturlehre02_1831","par_idx":1752,"date":1831,"orig":"Ich habe immer nur von einem Tropfen, der uns dieſe Erſcheinung darbiete, geſprochen; es laͤßt ſich aber leicht uͤberſehen, daß alle in der ganzen Linie (Fig. 102.)","norm":"Ich habe immer nur von einem Tropfen, der uns diese Erscheinung darbiete, gesprochen; es lässt sich aber leicht übersehen, dass alle in der ganzen Linie (Fig. 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+{"basename":"brandes_naturlehre02_1831","par_idx":1776,"date":1831,"orig":"Daß man ihn vorzuͤglich gut nur dann ſieht, wenn die Sonne im Horizonte ſteht, kann theils davon herruͤhren, daß die ſehr weit in der Atmoſphaͤre fortlaufende, nach einem niedrigen Puncte gerichtete Geſichtslinie mehr Schneenadeln darbietet, theils auch davon, daß die nicht ganz in der richtigen Richtung liegenden Nadeln am Horizonte mehr als in der Hoͤhe zu Verſtaͤrkung dieſes glaͤnzenden Verticalkreiſes beitragen muͤſſen.","norm":"Dass man ihn vorzüglich gut nur dann sieht, wenn die Sonne im Horizonte steht, kann teils davon herrühren, dass die sehr weit in der Atmosphäre fortlaufende, nach einem niedrigen Punkte gerichtete Gesichtslinie mehr Schneenadeln darbietet, teils auch davon, dass die nicht ganz in der richtigen Richtung liegenden Nadeln am Horizonte mehr als in der Höhe zu Verstärkung dieses glänzenden Vertikalkreises beitragen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1777,"date":1831,"orig":"Eine zweite Erſcheinung, die ſich eben ſo einfach zu erklaͤren ſcheint, iſt ein zuweilen ſichtbarer horizontaler heller Kreis, der durch die Sonne geht.","norm":"Eine zweite Erscheinung, die sich eben so einfach zu erklären scheint, ist ein zuweilen sichtbarer horizontaler heller Kreis, der durch die Sonne 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+{"basename":"brandes_naturlehre02_1831","par_idx":1778,"date":1831,"orig":"Man ſieht ihn faſt immer in Verbindung mit Nebenſonnen.","norm":"Man sieht ihn fast immer in Verbindung mit Nebensonnen.","orig_tok":["Man","ſieht","ihn","faſt","immer","in","Verbindung","mit","Nebenſonnen","."],"norm_tok":["Man","sieht","ihn","fast","immer","in","Verbindung","mit","Nebensonnen","."],"orig_spans":[[0,3],[4,9],[10,13],[14,18],[19,24],[25,27],[28,38],[39,42],[43,54],[54,55]],"norm_spans":[[0,3],[4,9],[10,13],[14,18],[19,24],[25,27],[28,38],[39,42],[43,54],[54,55]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.93530011177063} +{"basename":"brandes_naturlehre02_1831","par_idx":1779,"date":1831,"orig":"Ein ſolcher Kreis muß ſich zeigen, wenn verticale Schneenadeln in der Luft ſchweben; denn wenn man einen vertical gehaltenen Spiegel in allerlei Richtungen, allemal aber ſo haͤlt, daß er ein Sonnenbild zeigt bei beſtaͤndig verticaler Lage, ſo erſcheint dieſes Sonnenbild ebenſo hoch uͤber dem Horizonte, als die Sonne ſelbſt; unzaͤhlige ſolche Spiegel in der Luft ſchwebend koͤnnen uͤberall ein reflectirtes Sonnenlicht und zwar immer in der ſcheinbaren Hoͤhe der Sonne geben, alſo einen hellen Horizontalkreis.","norm":"Ein solcher Kreis muss sich zeigen, wenn vertikale Schneenadeln in der Luft schweben; denn wenn man einen vertikal gehaltenen Spiegel in allerlei Richtungen, allemal aber so hält, dass er ein Sonnenbild zeigt bei beständig vertikaler Lage, so erscheint dieses Sonnenbild ebenso hoch über dem Horizonte, als die Sonne selbst; unzählige solche Spiegel in der Luft schwebend können überall ein reflektiertes Sonnenlicht und zwar immer in der scheinbaren Höhe der Sonne geben, also einen hellen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1781,"date":1831,"orig":"Eine genauere Unterſuchung beweiſet, daß bei etwas hoͤherem Stande der Sonne ſelbſt ziemlich geneigt ſchwebende Nadeln bis zu erheblichen Entfernungen von der Sonne zu Verſtaͤrkung des aus den verticalen Nadeln hervorgehenden Horizontalkreiſes beitragen, und vielleicht iſt das ein Grund, warum man ihn im Winter oͤfter beim Monde (wenn ich nicht irre,) geſehen hat, als bei der Sonne, weil naͤmlich der Mond in der Zeit ſeines beſten Lichtes im Winter hoch ſteht, die Sonne aber niedrig.","norm":"Eine genauere Untersuchung beweiset, dass bei etwas höherem Stande der Sonne selbst ziemlich geneigt schwebende Nadeln bis zu erheblichen Entfernungen von der Sonne zu Verstärkung des aus den vertikalen Nadeln hervorgehenden Horizontalkreises beitragen, und vielleicht ist das ein Grund, warum man ihn im Winter öfter beim Monde (wenn ich nicht irre,) gesehen hat, als bei der Sonne, weil nämlich der Mond in der Zeit seines besten Lichtes im Winter hochsteht, die Sonne aber 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+{"basename":"brandes_naturlehre02_1831","par_idx":1782,"date":1831,"orig":"Dieſer horizontale Kreis hat ſich nicht ſelten theilweiſe mit dem verticalen Streif zugleich gezeigt, und dann entweder ein Kreutz dargeſtellt, in deſſen Durchſchnittspuncte die Sonne oder der Mond ſtand, oder ein Kreutz dieſen Geſtirnen gegenuͤber.","norm":"Dieser horizontale Kreis hat sich nicht selten teilweise mit dem vertikalen Streife zugleich gezeigt, und dann entweder ein Kreuz dargestellt, in dessen Durchschnittspunkte die Sonne oder der Mond stand, oder ein Kreuz diesen Gestirnen gegenüber.","orig_tok":["Dieſer","horizontale","Kreis","hat","ſich","nicht","ſelten","theilweiſe","mit","dem","verticalen","Streif","zugleich","gezeigt",",","und","dann","entweder","ein","Kreutz","dargeſtellt",",","in","deſſen","Durchſchnittspuncte","die","Sonne","oder","der","Mond","ſtand",",","oder","ein","Kreutz","dieſen","Geſtirnen","gegenuͤber","."],"norm_tok":["Dieser","horizontale","Kreis","hat","sich","nicht","selten","teilweise","mit","dem","vertikalen","Streife","zugleich","gezeigt",",","und","dann","entweder","ein","Kreuz","dargestellt",",","in","dessen","Durchschnittspunkte","die","Sonne","oder","der","Mond","stand",",","oder","ein","Kreuz","diesen","Gestirnen","gegenüber","."],"orig_spans":[[0,6],[7,18],[19,24],[25,28],[29,33],[34,39],[40,46],[47,57],[58,61],[62,65],[66,76],[77,83],[84,92],[93,100],[100,101],[102,105],[106,110],[111,119],[120,123],[124,130],[131,142],[142,143],[144,146],[147,153],[154,173],[174,177],[178,183],[184,188],[189,192],[193,197],[198,203],[203,204],[205,209],[210,213],[214,220],[221,227],[228,237],[238,248],[248,249]],"norm_spans":[[0,6],[7,18],[19,24],[25,28],[29,33],[34,39],[40,46],[47,56],[57,60],[61,64],[65,75],[76,83],[84,92],[93,100],[100,101],[102,105],[106,110],[111,119],[120,123],[124,129],[130,141],[141,142],[143,145],[146,152],[153,172],[173,176],[177,182],[183,187],[188,191],[192,196],[197,202],[202,203],[204,208],[209,212],[213,218],[219,225],[226,235],[236,245],[245,246]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.925600051879883} +{"basename":"brandes_naturlehre02_1831","par_idx":1783,"date":1831,"orig":"Die eben angegebene Erklaͤrung iſt auf dieſe Erſcheinung anwendbar, nur ſteht ihr das im Wege, daß wir bei der Erſcheinung des Kreutzes horizontalſchwebende und verticalſchwebende Nadeln zugleich annehmen muͤſſen.","norm":"Die eben angegebene Erklärung ist auf diese Erscheinung anwendbar, nur steht ihr das im Wege, dass wir bei der Erscheinung des Kreuzes horizontalschwebende und vertikalschwebende Nadeln zugleich annehmen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1784,"date":1831,"orig":"Ohne dieſe Schwierigkeit ableugnen zu wollen, glaube ich doch, daß das ſo ſehr Genuͤgende jener Erklaͤrung uns berechtigt, ihr getreu zu bleiben, und daß wir die Vermuthung, es moͤge in einer Luftſchichte die eine Lage der Nadeln, in einer andern Luftſchichte die andre Lage vorherrſchend ſein, wagen duͤrfen, um dieſe Verbindung beider Phaͤnomene zu erklaͤren.","norm":"Ohne diese Schwierigkeit ableugnen zu wollen, glaube ich doch, dass das so sehr Genügende jener Erklärung uns berechtigt, ihr getreuzubleiben, und dass wir die Vermutung, es möge in einer Luftschichte die eine Lage der Nadeln, in einer anderen Luftschichte die andere Lage vorherrschend sein, wagen dürfen, um diese Verbindung beider Phänomene zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":1786,"date":1831,"orig":"Ringe um die Sonne.","norm":"Ringe um die Sonne.","orig_tok":["Ringe","um","die","Sonne","."],"norm_tok":["Ringe","um","die","Sonne","."],"orig_spans":[[0,5],[6,8],[9,12],[13,18],[18,19]],"norm_spans":[[0,5],[6,8],[9,12],[13,18],[18,19]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"af","orig_lang_de":0.667,"norm_lmscore":4.71150016784668} +{"basename":"brandes_naturlehre02_1831","par_idx":1787,"date":1831,"orig":"Dieſe hellen Kreiſe kommen am meiſten im Winter vor, und dieſes ſcheint der Erklaͤrung aus Eisnadeln zu einer Beſtaͤtigung zu gereichen; aber eine zweite Erſcheinung, die großen Ringe um Sonne und Mond, in deren Mittelpuncte dieſe Geſtirne ſtehen, zeigen ſich auch im Sommer oft, und es koͤnnte daher zweifelhaft ſcheinen, ob man auch dieſe aus der Brechung in Eisnadeln erklaͤren koͤnne.","norm":"Diese hellen Kreise kommen am meisten im Winter vor, und dieses scheint der Erklärung aus Eisnadeln zu einer Bestätigung zu gereichen; aber eine zweite Erscheinung, die großen Ringe um Sonne und Mond, in deren Mittelpunkte diese Gestirne stehen, zeigen sich auch im Sommer oft, und es könnte daher zweifelhaft scheinen, ob man auch diese aus der Brechung in Eisnadeln erklären 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+{"basename":"brandes_naturlehre02_1831","par_idx":1788,"date":1831,"orig":"Indeß da, wie Sie bald ſehen werden, ſich eine genau der Theorie des Regenbogens aͤhnliche Erklaͤrung fuͤr dieſe Ringe darbietet, wenn man prismatiſche, in der Luft ſchwebende Eisnadeln annimmt, ſo kann man wohl auch fuͤr ſie einer daran geknuͤpften Theorie ſeinen Beifall nicht verſagen, um ſo weniger, da ſich die Ringe ſo oft mit dem hellen Horizontalkreiſe und mit allen den Kreiſen verbinden, die bei dem vollſtaͤndigen Phaͤnomen der Nebenſonnen geſehen und aus Eisnadeln erklaͤrt werden.","norm":"Indes da, wie Sie bald sehen werden, sich eine genau der Theorie des Regenbogens ähnliche Erklärung für diese Ringe darbietet, wenn man prismatische, in der Luft schwebende Eisnadeln annimmt, so kann man wohl auch für sie einer daran geknüpften Theorie seinen Beifall nicht versagen, um so weniger, da sich die Ringe so oft mit dem hellen Horizontalkreise und mit allen den Kreisen verbinden, die bei dem vollständigen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1792,"date":1831,"orig":"Wir wollen jetzt ſehen, was die Theorie der Brechung in Eisprismen uns fuͤr Beſtimmungen giebt.","norm":"Wir wollen jetzt sehen, was die Theorie der Brechung in Eisprismen uns für Bestimmungen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1801,"date":1831,"orig":"Prismen, die weiter von der Sonne abſtehen, muͤſſen eine ſehr genau beſtimmte Stellung haben, wenn ſie den gebrochenen Strahl ins Auge ſenden ſollen, indem diejenigen, deren Stellung nur um 1 Grad geaͤndert iſt, den Lichtſtrahl ſchon nicht mehr dem Auge zuſenden; aber in 21 bis 22 Grad Entfernung kann man das Eisprisma ſehr erheblich drehen, ohne daß dadurch die Richtung des ausfallenden Strahles erheblich geaͤndert wird, und das Auge erhaͤlt daher hier aus einer Menge von Prismen die gebrochenen Strahlen, und ſieht hier den Himmel vorzuͤglich hell erleuchtet, — einen hellen Ring um die Sonne.","norm":"Prismen, die weiter von der Sonne abstehen, müssen eine sehr genau bestimmte Stellung haben, wenn sie den gebrochenen Strahl ins Auge senden sollen, indem diejenigen, deren Stellung nur um 1 Grad geändert ist, den Lichtstrahl schon nicht mehr dem Auge zusenden; aber in 21 bis 22 Grad Entfernung kann man das Eisprisma sehr erheblich drehen, ohne dass dadurch die Richtung des ausfallenden Strahles erheblich geändert wird, und das Auge erhält daher hier aus einer Menge von Prismen die gebrochenen Strahlen, und sieht hier den Himmel vorzüglich hell erleuchtet, — einen hellen Ring um die 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+{"basename":"brandes_naturlehre02_1831","par_idx":1802,"date":1831,"orig":"Dieſer ſollte innen roth, außen violett ſein, aber da die Farben weit weniger als bei dem Regenbogen aus einander gebrochen werden, ſo fallen die rothen vom einen Sonnenrande kommenden Strahlen mit den violetten vom andern Rande zuſammen und geben dem Ringe die weißliche Farbe, aus welcher nur das Roth am innern Rande noch am lebhafteſten hervortritt.","norm":"Dieser sollte innen rot, außen violett sein, aber da die Farben weit weniger als bei dem Regenbogen auseinander gebrochen werden, so fallen die roten vom einen Sonnenrande kommenden Strahlen mit den violetten vom anderen Rande zusammen und geben dem Ringe die weißliche Farbe, aus welcher nur das Rot am inneren Rande noch am lebhaftesten 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+{"basename":"brandes_naturlehre02_1831","par_idx":1803,"date":1831,"orig":"Dieſe ſchon von Mariotte angegebene, von Venturi und Fraunhofer genauer durchgefuͤhrte Theorie des erſten Ringes ſcheint als durchaus wohl begruͤndet angeſehen werden zu koͤnnen.","norm":"Diese schon von Mariotte angegebene, von Venturi und Fraunhofer genauer durchgeführte Theorie des ersten Ringes scheint als durchaus wohl begründet angesehen werden zu können.","orig_tok":["Dieſe","ſchon","von","Mariotte","angegebene",",","von","Venturi","und","Fraunhofer","genauer","durchgefuͤhrte","Theorie","des","erſten","Ringes","ſcheint","als","durchaus","wohl","begruͤndet","angeſehen","werden","zu","koͤnnen","."],"norm_tok":["Diese","schon","von","Mariotte","angegebene",",","von","Venturi","und","Fraunhofer","genauer","durchgeführte","Theorie","des","ersten","Ringes","scheint","als","durchaus","wohl","begründet","angesehen","werden","zu","können","."],"orig_spans":[[0,5],[6,11],[12,15],[16,24],[25,35],[35,36],[37,40],[41,48],[49,52],[53,63],[64,71],[72,86],[87,94],[95,98],[99,105],[106,112],[113,120],[121,124],[125,133],[134,138],[139,149],[150,159],[160,166],[167,169],[170,177],[177,178]],"norm_spans":[[0,5],[6,11],[12,15],[16,24],[25,35],[35,36],[37,40],[41,48],[49,52],[53,63],[64,71],[72,85],[86,93],[94,97],[98,104],[105,111],[112,119],[120,123],[124,132],[133,137],[138,147],[148,157],[158,164],[165,167],[168,174],[174,175]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.243000030517578} +{"basename":"brandes_naturlehre02_1831","par_idx":1804,"date":1831,"orig":"Es ſchließt ſich aber nun an dieſe Theorie ſehr natuͤrlich die Frage, ob es denn nicht noch andre Lagen dieſer Eisprismen gebe, die ebenfalls etwas Merkwuͤrdiges darbieten.","norm":"Es schließt sich aber nun an diese Theorie sehr natürlich die Frage, ob es denn nicht noch andere Lagen dieser Eisprismen gebe, die ebenfalls etwas Merkwürdiges 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+{"basename":"brandes_naturlehre02_1831","par_idx":1805,"date":1831,"orig":"Ich habe ſchon bemerkt, daß Prismen, die weniger als 21 Grad ſcheinbaren Abſtand von der Sonne haben, gar keine gebrochenen Strahlen dem Auge zuſenden, und daß in 21 bis 22 Graden Abſtand diejenigen Prismen liegen, die den reichſten Antheil von Strahlen zum Auge gelangen laſſen; ſtellt man die Betrachtung fuͤr noch groͤßere Abſtaͤnde an, ſo wird je mehr und mehr die Menge der zum Auge gelangenden Strahlen geringer, und Prismen, die uͤber 43½ Grad von der Sonne liegen, ſenden gar keine gebrochenen Strahlen mehr in das Auge.","norm":"Ich habe schon bemerkt, dass Prismen, die weniger als 21 Grad scheinbaren Abstand von der Sonne haben, gar keine gebrochenen Strahlen dem Auge zusenden, und dass in 21 bis 22 Geraden Abstand diejenigen Prismen liegen, die den reichsten Anteil von Strahlen zum Auge gelangen lassen; stellt man die Betrachtung für noch größere Abstände an, so wird je mehr und mehr die Menge der zum Auge gelangenden Strahlen geringer, und Prismen, die über 431/2 Grad von der Sonne liegen, senden gar keine gebrochenen Strahlen mehr in das Auge.","orig_tok":["Ich","habe","ſchon","bemerkt",",","daß","Prismen",",","die","weniger","als","21","Grad","ſcheinbaren","Abſtand","von","der","Sonne","haben",",","gar","keine","gebrochenen","Strahlen","dem","Auge","zuſenden",",","und","daß","in","21","bis","22","Graden","Abſtand","diejenigen","Prismen","liegen",",","die","den","reichſten","Antheil","von","Strahlen","zum","Auge","gelangen","laſſen",";","ſtellt","man","die","Betrachtung","fuͤr","noch","groͤßere","Abſtaͤnde","an",",","ſo","wird","je","mehr","und","mehr","die","Menge","der","zum","Auge","gelangenden","Strahlen","geringer",",","und","Prismen",",","die","uͤber","43½","Grad","von","der","Sonne","liegen",",","ſenden","gar","keine","gebrochenen","Strahlen","mehr","in","das","Auge","."],"norm_tok":["Ich","habe","schon","bemerkt",",","dass","Prismen",",","die","weniger","als","21","Grad","scheinbaren","Abstand","von","der","Sonne","haben",",","gar","keine","gebrochenen","Strahlen","dem","Auge","zusenden",",","und","dass","in","21","bis","22","Geraden","Abstand","diejenigen","Prismen","liegen",",","die","den","reichsten","Anteil","von","Strahlen","zum","Auge","gelangen","lassen",";","stellt","man","die","Betrachtung","für","noch","größere","Abstände","an",",","so","wird","je","mehr","und","mehr","die","Menge","der","zum","Auge","gelangenden","Strahlen","geringer",",","und","Prismen",",","die","über","431","/","2","Grad","von","der","Sonne","liegen",",","senden","gar","keine","gebrochenen","Strahlen","mehr","in","das","Auge","."],"orig_spans":[[0,3],[4,8],[9,14],[15,22],[22,23],[24,27],[28,35],[35,36],[37,40],[41,48],[49,52],[53,55],[56,60],[61,72],[73,80],[81,84],[85,88],[89,94],[95,100],[100,101],[102,105],[106,111],[112,123],[124,132],[133,136],[137,141],[142,150],[150,151],[152,155],[156,159],[160,162],[163,165],[166,169],[170,172],[173,179],[180,187],[188,198],[199,206],[207,213],[213,214],[215,218],[219,222],[223,232],[233,240],[241,244],[245,253],[254,257],[258,262],[263,271],[272,278],[278,279],[280,286],[287,290],[291,294],[295,306],[307,311],[312,316],[317,325],[326,335],[336,338],[338,339],[340,342],[343,347],[348,350],[351,355],[356,359],[360,364],[365,368],[369,374],[375,378],[379,382],[383,387],[388,399],[400,408],[409,417],[417,418],[419,422],[423,430],[430,431],[432,435],[436,441],[442,445],[446,450],[451,454],[455,458],[459,464],[465,471],[471,472],[473,479],[480,483],[484,489],[490,501],[502,510],[511,515],[516,518],[519,522],[523,527],[527,528]],"norm_spans":[[0,3],[4,8],[9,14],[15,22],[22,23],[24,28],[29,36],[36,37],[38,41],[42,49],[50,53],[54,56],[57,61],[62,73],[74,81],[82,85],[86,89],[90,95],[96,101],[101,102],[103,106],[107,112],[113,124],[125,133],[134,137],[138,142],[143,151],[151,152],[153,156],[157,161],[162,164],[165,167],[168,171],[172,174],[175,182],[183,190],[191,201],[202,209],[210,216],[216,217],[218,221],[222,225],[226,235],[236,242],[243,246],[247,255],[256,259],[260,264],[265,273],[274,280],[280,281],[282,288],[289,292],[293,296],[297,308],[309,312],[313,317],[318,325],[326,334],[335,337],[337,338],[339,341],[342,346],[347,349],[350,354],[355,358],[359,363],[364,367],[368,373],[374,377],[378,381],[382,386],[387,398],[399,407],[408,416],[416,417],[418,421],[422,429],[429,430],[431,434],[435,439],[440,443],[443,444],[444,445],[446,450],[451,454],[455,458],[459,464],[465,471],[471,472],[473,479],[480,483],[484,489],[490,501],[502,510],[511,515],[516,518],[519,522],[523,527],[527,528]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[null,82],[null,83],[82,84],[83,85],[84,86],[85,87],[86,88],[87,89],[88,90],[89,91],[90,92],[91,93],[92,94],[93,95],[94,96],[95,97],[96,98],[97,99]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.834399938583374} +{"basename":"brandes_naturlehre02_1831","par_idx":1806,"date":1831,"orig":"Sie werden ſich erinnern, daß wir fruͤher einmal den violetten und blauen Rand betrachteten, der die Grenze der durch das Prisma vermittelſt gebrochener Strahlen geſehenen Gegenſtaͤnde umgab, und ebenſo ſollte hier in 43 Grad Entfernung von der Sonne ein violetter und blauer Rand wegen dieſer aͤußerſten Grenze der gebrochenen Strahlen ſich darſtellen.","norm":"Sie werden sich erinnern, dass wir früher einmal den violetten und blauen Rand betrachteten, der die Grenze der durch das Prisma vermittels gebrochener Strahlen gesehenen Gegenstände umgab, und ebenso sollte hier in 43 Grad Entfernung von der Sonne ein violetter und blauer Rand wegen dieser äußersten Grenze der gebrochenen Strahlen sich darstellen.","orig_tok":["Sie","werden","ſich","erinnern",",","daß","wir","fruͤher","einmal","den","violetten","und","blauen","Rand","betrachteten",",","der","die","Grenze","der","durch","das","Prisma","vermittelſt","gebrochener","Strahlen","geſehenen","Gegenſtaͤnde","umgab",",","und","ebenſo","ſollte","hier","in","43","Grad","Entfernung","von","der","Sonne","ein","violetter","und","blauer","Rand","wegen","dieſer","aͤußerſten","Grenze","der","gebrochenen","Strahlen","ſich","darſtellen","."],"norm_tok":["Sie","werden","sich","erinnern",",","dass","wir","früher","einmal","den","violetten","und","blauen","Rand","betrachteten",",","der","die","Grenze","der","durch","das","Prisma","vermittels","gebrochener","Strahlen","gesehenen","Gegenstände","umgab",",","und","ebenso","sollte","hier","in","43","Grad","Entfernung","von","der","Sonne","ein","violetter","und","blauer","Rand","wegen","dieser","äußersten","Grenze","der","gebrochenen","Strahlen","sich","darstellen","."],"orig_spans":[[0,3],[4,10],[11,15],[16,24],[24,25],[26,29],[30,33],[34,41],[42,48],[49,52],[53,62],[63,66],[67,73],[74,78],[79,91],[91,92],[93,96],[97,100],[101,107],[108,111],[112,117],[118,121],[122,128],[129,140],[141,152],[153,161],[162,171],[172,184],[185,190],[190,191],[192,195],[196,202],[203,209],[210,214],[215,217],[218,220],[221,225],[226,236],[237,240],[241,244],[245,250],[251,254],[255,264],[265,268],[269,275],[276,280],[281,286],[287,293],[294,304],[305,311],[312,315],[316,327],[328,336],[337,341],[342,352],[352,353]],"norm_spans":[[0,3],[4,10],[11,15],[16,24],[24,25],[26,30],[31,34],[35,41],[42,48],[49,52],[53,62],[63,66],[67,73],[74,78],[79,91],[91,92],[93,96],[97,100],[101,107],[108,111],[112,117],[118,121],[122,128],[129,139],[140,151],[152,160],[161,170],[171,182],[183,188],[188,189],[190,193],[194,200],[201,207],[208,212],[213,215],[216,218],[219,223],[224,234],[235,238],[239,242],[243,248],[249,252],[253,262],[263,266],[267,273],[274,278],[279,284],[285,291],[292,301],[302,308],[309,312],[313,324],[325,333],[334,338],[339,349],[349,350]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.19350004196167} +{"basename":"brandes_naturlehre02_1831","par_idx":1807,"date":1831,"orig":"Indeß koͤnnte dieſer Rand nur ſehr ſchwach ſichtbar ſein, und gewiß kann er nicht das Einzige ſein, wodurch ſich uns in ungefaͤhr 43 Graden Abſtand von der Sonne zuweilen ein ſehr ſchoͤner zweiter Ring darſtellt.","norm":"Indes könnte dieser Rand nur sehr schwach sichtbar sein, und gewiss kann er nicht das Einzige sein, wodurch sich uns in ungefähr 43 Geraden Abstand von der Sonne zuweilen ein sehr schöner zweiter Ring darstellt.","orig_tok":["Indeß","koͤnnte","dieſer","Rand","nur","ſehr","ſchwach","ſichtbar","ſein",",","und","gewiß","kann","er","nicht","das","Einzige","ſein",",","wodurch","ſich","uns","in","ungefaͤhr","43","Graden","Abſtand","von","der","Sonne","zuweilen","ein","ſehr","ſchoͤner","zweiter","Ring","darſtellt","."],"norm_tok":["Indes","könnte","dieser","Rand","nur","sehr","schwach","sichtbar","sein",",","und","gewiss","kann","er","nicht","das","Einzige","sein",",","wodurch","sich","uns","in","ungefähr","43","Geraden","Abstand","von","der","Sonne","zuweilen","ein","sehr","schöner","zweiter","Ring","darstellt","."],"orig_spans":[[0,5],[6,13],[14,20],[21,25],[26,29],[30,34],[35,42],[43,51],[52,56],[56,57],[58,61],[62,67],[68,72],[73,75],[76,81],[82,85],[86,93],[94,98],[98,99],[100,107],[108,112],[113,116],[117,119],[120,129],[130,132],[133,139],[140,147],[148,151],[152,155],[156,161],[162,170],[171,174],[175,179],[180,188],[189,196],[197,201],[202,211],[211,212]],"norm_spans":[[0,5],[6,12],[13,19],[20,24],[25,28],[29,33],[34,41],[42,50],[51,55],[55,56],[57,60],[61,67],[68,72],[73,75],[76,81],[82,85],[86,93],[94,98],[98,99],[100,107],[108,112],[113,116],[117,119],[120,128],[129,131],[132,139],[140,147],[148,151],[152,155],[156,161],[162,170],[171,174],[175,179],[180,187],[188,195],[196,200],[201,210],[210,211]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.825300216674805} +{"basename":"brandes_naturlehre02_1831","par_idx":1808,"date":1831,"orig":"Dieſer, freilich nur ſelten ſichtbare, alſo wohl mehr vom zufaͤlligen Zuſammentreffen guͤnſtiger Umſtaͤnde abhaͤngende Ring zeigt ſehr ſchoͤne, reine Farben, reiner als ſie ſelbſt im Regenbogen vorkommen; er hat ſein Roth der Sonne am naͤchſten und ein ſchoͤnes Gruͤn und Blau oder Violett mehr von der Sonne entfernt; aber ſelten ſieht man mehr als ein kleines Stuͤck grade uͤber der Sonne.","norm":"Dieser, freilich nur selten sichtbare, also wohl mehr vom zufälligen Zusammentreffen günstiger Umstände abhängende Ring zeigt sehr schöne, reine Farben, reiner als sie selbst im Regenbogen vorkommen; er hat sein Rot der Sonne am nächsten und ein schönes Grün und Blau oder Violett mehr von der Sonne entfernt; aber selten sieht man mehr als ein kleines Stück gerade über der Sonne.","orig_tok":["Dieſer",",","freilich","nur","ſelten","ſichtbare",",","alſo","wohl","mehr","vom","zufaͤlligen","Zuſammentreffen","guͤnſtiger","Umſtaͤnde","abhaͤngende","Ring","zeigt","ſehr","ſchoͤne",",","reine","Farben",",","reiner","als","ſie","ſelbſt","im","Regenbogen","vorkommen",";","er","hat","ſein","Roth","der","Sonne","am","naͤchſten","und","ein","ſchoͤnes","Gruͤn","und","Blau","oder","Violett","mehr","von","der","Sonne","entfernt",";","aber","ſelten","ſieht","man","mehr","als","ein","kleines","Stuͤck","grade","uͤber","der","Sonne","."],"norm_tok":["Dieser",",","freilich","nur","selten","sichtbare",",","also","wohl","mehr","vom","zufälligen","Zusammentreffen","günstiger","Umstände","abhängende","Ring","zeigt","sehr","schöne",",","reine","Farben",",","reiner","als","sie","selbst","im","Regenbogen","vorkommen",";","er","hat","sein","Rot","der","Sonne","am","nächsten","und","ein","schönes","Grün","und","Blau","oder","Violett","mehr","von","der","Sonne","entfernt",";","aber","selten","sieht","man","mehr","als","ein","kleines","Stück","gerade","über","der","Sonne","."],"orig_spans":[[0,6],[6,7],[8,16],[17,20],[21,27],[28,37],[37,38],[39,43],[44,48],[49,53],[54,57],[58,69],[70,85],[86,96],[97,106],[107,118],[119,123],[124,129],[130,134],[135,142],[142,143],[144,149],[150,156],[156,157],[158,164],[165,168],[169,172],[173,179],[180,182],[183,193],[194,203],[203,204],[205,207],[208,211],[212,216],[217,221],[222,225],[226,231],[232,234],[235,244],[245,248],[249,252],[253,261],[262,267],[268,271],[272,276],[277,281],[282,289],[290,294],[295,298],[299,302],[303,308],[309,317],[317,318],[319,323],[324,330],[331,336],[337,340],[341,345],[346,349],[350,353],[354,361],[362,368],[369,374],[375,380],[381,384],[385,390],[390,391]],"norm_spans":[[0,6],[6,7],[8,16],[17,20],[21,27],[28,37],[37,38],[39,43],[44,48],[49,53],[54,57],[58,68],[69,84],[85,94],[95,103],[104,114],[115,119],[120,125],[126,130],[131,137],[137,138],[139,144],[145,151],[151,152],[153,159],[160,163],[164,167],[168,174],[175,177],[178,188],[189,198],[198,199],[200,202],[203,206],[207,211],[212,215],[216,219],[220,225],[226,228],[229,237],[238,241],[242,245],[246,253],[254,258],[259,262],[263,267],[268,272],[273,280],[281,285],[286,289],[290,293],[294,299],[300,308],[308,309],[310,314],[315,321],[322,327],[328,331],[332,336],[337,340],[341,344],[345,352],[353,358],[359,365],[366,370],[371,374],[375,380],[380,381]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.669000148773193} +{"basename":"brandes_naturlehre02_1831","par_idx":1809,"date":1831,"orig":"Offenbar reicht die eben angegebene Bemerkung nicht hin, um dieſen Ring zu erklaͤren; aber aus eben der Gegend koͤnnen noch andre wirkſame Lichtſtrahlen in das Auge kommen.","norm":"Offenbar reicht die eben angegebene Bemerkung nicht hin, um diesen Ring zu erklären; aber aus eben der Gegend können noch andere wirksame Lichtstrahlen in das Auge 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+{"basename":"brandes_naturlehre02_1831","par_idx":1810,"date":1831,"orig":"Wenn naͤmlich (Fig. 105.) zwei Prismen rnq, qmp ſo verbunden ſind, oder auch nur in einer ſolchen Stellung frei neben einander ſchweben, daß der durch das erſte Prisma ſchon gebrochene Strahl xw mit der Oberflaͤche des zweiten Prisma's einen ebenſo großen Winkel als mit der des erſten macht, ſo bringt die Brechung im zweiten Prisma ebenſowohl wirkſame Strahlen hervor, wie es im vorigen Falle bei einem Prisma ſtatt fand.","norm":"Wenn nämlich (Fig. 105.) zwei Prismen rnq, qmp so verbunden sind, oder auch nur in einer solchen Stellung frei nebeneinander schweben, dass der durch das erste Prisma schon gebrochene Strahl xw mit der Oberfläche des zweiten Prismas einen ebenso großen Winkel als mit der des ersten macht, so bringt die Brechung im zweiten Prisma ebenso wohl wirksame Strahlen hervor, wie es im vorigen Falle bei einem Prisma stattfand.","orig_tok":["Wenn","naͤmlich","(","Fig.","105.",")","zwei","Prismen","rnq",",","qmp","ſo","verbunden","ſind",",","oder","auch","nur","in","einer","ſolchen","Stellung","frei","neben","einander","ſchweben",",","daß","der","durch","das","erſte","Prisma","ſchon","gebrochene","Strahl","xw","mit","der","Oberflaͤche","des","zweiten","Prisma's","einen","ebenſo","großen","Winkel","als","mit","der","des","erſten","macht",",","ſo","bringt","die","Brechung","im","zweiten","Prisma","ebenſowohl","wirkſame","Strahlen","hervor",",","wie","es","im","vorigen","Falle","bei","einem","Prisma","ſtatt","fand","."],"norm_tok":["Wenn","nämlich","(","Fig",".","105.",")","zwei","Prismen","rnq",",","qmp","so","verbunden","sind",",","oder","auch","nur","in","einer","solchen","Stellung","frei","nebeneinander","schweben",",","dass","der","durch","das","erste","Prisma","schon","gebrochene","Strahl","xw","mit","der","Oberfläche","des","zweiten","Prismas","einen","ebenso","großen","Winkel","als","mit","der","des","ersten","macht",",","so","bringt","die","Brechung","im","zweiten","Prisma","ebenso","wohl","wirksame","Strahlen","hervor",",","wie","es","im","vorigen","Falle","bei","einem","Prisma","stattfand","."],"orig_spans":[[0,4],[5,13],[14,15],[15,19],[20,24],[24,25],[26,30],[31,38],[39,42],[42,43],[44,47],[48,50],[51,60],[61,65],[65,66],[67,71],[72,76],[77,80],[81,83],[84,89],[90,97],[98,106],[107,111],[112,117],[118,126],[127,135],[135,136],[137,140],[141,144],[145,150],[151,154],[155,160],[161,167],[168,173],[174,184],[185,191],[192,194],[195,198],[199,202],[203,214],[215,218],[219,226],[227,235],[236,241],[242,248],[249,255],[256,262],[263,266],[267,270],[271,274],[275,278],[279,285],[286,291],[291,292],[293,295],[296,302],[303,306],[307,315],[316,318],[319,326],[327,333],[334,344],[345,353],[354,362],[363,369],[369,370],[371,374],[375,377],[378,380],[381,388],[389,394],[395,398],[399,404],[405,411],[412,417],[418,422],[422,423]],"norm_spans":[[0,4],[5,12],[13,14],[14,17],[17,18],[19,23],[23,24],[25,29],[30,37],[38,41],[41,42],[43,46],[47,49],[50,59],[60,64],[64,65],[66,70],[71,75],[76,79],[80,82],[83,88],[89,96],[97,105],[106,110],[111,124],[125,133],[133,134],[135,139],[140,143],[144,149],[150,153],[154,159],[160,166],[167,172],[173,183],[184,190],[191,193],[194,197],[198,201],[202,212],[213,216],[217,224],[225,232],[233,238],[239,245],[246,252],[253,259],[260,263],[264,267],[268,271],[272,275],[276,282],[283,288],[288,289],[290,292],[293,299],[300,303],[304,312],[313,315],[316,323],[324,330],[331,337],[338,342],[343,351],[352,360],[361,367],[367,368],[369,372],[373,375],[376,378],[379,386],[387,392],[393,396],[397,402],[403,409],[410,419],[419,420]],"alignment":[[0,0],[1,1],[2,2],[3,3],[3,4],[4,5],[5,6],[6,7],[7,8],[8,9],[9,10],[10,11],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[61,62],[62,63],[63,64],[64,65],[65,66],[66,67],[67,68],[68,69],[69,70],[70,71],[71,72],[72,73],[73,74],[74,75],[75,75],[76,76]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.411200046539307} +{"basename":"brandes_naturlehre02_1831","par_idx":1811,"date":1831,"orig":"Es gehen naͤmlich zwar die Farbenſtrahlen jeder in verſchiedenen Richtungen hervor, aber gleichfarbige Strahlen, die unter etwas verſchiedenen Richtungen auffallen, gehen in einerlei Richtung hervor, ſo daß auch hier mehrere Prismen zu den dem Auge zugeſendeten Strahlen ihren Beitrag liefern.","norm":"Es gehen nämlich zwar die Farbenstrahlen jeder in verschiedenen Richtungen hervor, aber gleichfarbige Strahlen, die unter etwas verschiedenen Richtungen auffallen, gehen in einerlei Richtung hervor, so dass auch hier mehrere Prismen zu den dem Auge zugesendeten Strahlen ihren Beitrag 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+{"basename":"brandes_naturlehre02_1831","par_idx":1812,"date":1831,"orig":"Hier koͤnnte es nun freilich ſcheinen, als ob die Verbindung unter allerlei Winkeln geſchehen koͤnne, wodurch dann offenbar Ringe von ganz verſchiedenen Durchmeſſern entſtehen muͤßten, und alſo keiner lebhafter als der andre hervortreten wuͤrde.","norm":"Hier könnte es nun freilich scheinen, als ob die Verbindung unter allerlei Winkeln geschehen könne, wodurch dann offenbar Ringe von ganz verschiedenen Durchmessern entstehen müssten, und also keiner lebhafter als der andere hervortreten würde.","orig_tok":["Hier","koͤnnte","es","nun","freilich","ſcheinen",",","als","ob","die","Verbindung","unter","allerlei","Winkeln","geſchehen","koͤnne",",","wodurch","dann","offenbar","Ringe","von","ganz","verſchiedenen","Durchmeſſern","entſtehen","muͤßten",",","und","alſo","keiner","lebhafter","als","der","andre","hervortreten","wuͤrde","."],"norm_tok":["Hier","könnte","es","nun","freilich","scheinen",",","als","ob","die","Verbindung","unter","allerlei","Winkeln","geschehen","könne",",","wodurch","dann","offenbar","Ringe","von","ganz","verschiedenen","Durchmessern","entstehen","müssten",",","und","also","keiner","lebhafter","als","der","andere","hervortreten","würde","."],"orig_spans":[[0,4],[5,12],[13,15],[16,19],[20,28],[29,37],[37,38],[39,42],[43,45],[46,49],[50,60],[61,66],[67,75],[76,83],[84,93],[94,100],[100,101],[102,109],[110,114],[115,123],[124,129],[130,133],[134,138],[139,152],[153,165],[166,175],[176,183],[183,184],[185,188],[189,193],[194,200],[201,210],[211,214],[215,218],[219,224],[225,237],[238,244],[244,245]],"norm_spans":[[0,4],[5,11],[12,14],[15,18],[19,27],[28,36],[36,37],[38,41],[42,44],[45,48],[49,59],[60,65],[66,74],[75,82],[83,92],[93,98],[98,99],[100,107],[108,112],[113,121],[122,127],[128,131],[132,136],[137,150],[151,163],[164,173],[174,181],[181,182],[183,186],[187,191],[192,198],[199,208],[209,212],[213,216],[217,223],[224,236],[237,242],[242,243]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.69789981842041} +{"basename":"brandes_naturlehre02_1831","par_idx":1813,"date":1831,"orig":"Dieſer Einwurf iſt nicht ganz ungegruͤndet, indem zum Beiſpiel, wenn wqx = 36° iſt, ein Ring von ungefaͤhr 56 Grad Halbmeſſer entſtaͤnde, wenn jener 64 Grad iſt, dieſer von 43 Gr. Halbmeſſer fuͤr die rothen Strahlen wird; aber dabei tritt nun doch der merkwuͤrdige Umſtand ein, daß fuͤr den Winkel wqx = 70° bis wqx = 90°, wo dieſer Ring ſo klein, als es uͤberhaupt moͤglich iſt, wird, ſeine Groͤße faſt voͤllig gleich bleibt, und alſo dieſe unter ſo verſchiedenen Winkeln verbundenen Prismen, wenn ſie in der richtigen Stellung gegen den Lichtſtrahl ſind, alle geeignet ſind, einen rothen Ring von 42° 30', einen violetten Ring von 44° Halbmeſſer hervorzubringen.","norm":"Dieser Einwurf ist nicht ganz ungegründet, indem zum Beispiel, wenn wqx = 36 ° ist, ein Ring von ungefähr 56 Grad Halbmesser entstände, wenn jener 64 Grad ist, dieser von 43 Gr. Halbmesser für die roten Strahlen wird; aber dabei tritt nun doch der merkwürdige Umstand ein, dass für den Winkel wqx = 70 ° bis wqx = 90 °, wo dieser Ring so klein, als es überhaupt möglich ist, wird, seine Größe fast völlig gleich bleibt, und also diese unter so verschiedenen Winkeln verbundenen Prismen, wenn sie in der richtigen Stellung gegen den Lichtstrahl sind, alle geeignet sind, einen roten Ring von 42 ° 30', einen violetten Ring von 44 ° Halbmesser 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+{"basename":"brandes_naturlehre02_1831","par_idx":1833,"date":1831,"orig":"Wenn die Sonnenſtrahlen, von s in das Auge O (Fig. 104.) kommen, von S, SI, SII, SIII auf die in verſchiedenen Lagen ſich befindenden Prismen fallen, ſo iſt AIBICI dasjenige Prisma, wo der gebrochene Strahl aIbI der Seite AIBI parallel iſt, und in welchem die kleinſte Brechung ſtatt findet; es iſt alſo eines von denen, welche dem Auge O den innerſten Ring darbieten; hat das Prisma die Lage ABC oder abc, ſo kommen die aͤußerſten Strahlen durch Brechung in das Auge O, weil SIIe nur noch an der Seite des Prisma's hinſtreift, alſo der letzte auffallende Strahl fuͤr ACB iſt, und weil fO nahe an der Seite des Prisma's abc hervorgeht, und alſo der letzte hervordringende Strahl iſt.","norm":"Wenn die Sonnenstrahlen, von s in das Auge O (Fig. 104.) kommen, von S, SI, sie, sie auf die in verschiedenen Lagen sich befindenden Prismen fallen, so ist AIBICI dasjenige Prisma, wo der gebrochene Strahl aIbI der Seite AIBI 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+{"basename":"brandes_naturlehre02_1831","par_idx":1834,"date":1831,"orig":"Dieſe beiden Prismen ſenden nur noch die letzten gebrochenen Strahlen nach O, und bei der geringſten weitern Fortruͤckung nach α zu gehen alle Strahlen reflectirt nach OI; und eben dieſe reflectirten Strahlen, wo naͤmlich die auf die Seite ac fallenden Strahlen, aubc reflectirt nach oI kommen, ſtellen dem Auge in O vermittelſt des Prisma's αβγ, ein reflectirtes Sonnenbild, das aus der Reflexion aller Strahlen entſteht, dar.","norm":"Diese beiden Prismen senden nur noch die letzten gebrochenen Strahlen nach O, und bei der geringsten weiteren Fortrückung nach α zu gehen alle Strahlen reflektiert nach OI; und eben diese reflektierten Strahlen, wo nämlich die auf die Seite ac fallenden Strahlen, aubc reflektiert nach oI kommen, stellen dem Auge in O vermittels des Prismas αβγ, ein reflektiertes Sonnenbild, das aus der Reflexion aller Strahlen entsteht, dar.","orig_tok":["Dieſe","beiden","Prismen","ſenden","nur","noch","die","letzten","gebrochenen","Strahlen","nach","O",",","und","bei","der","geringſten","weitern","Fortruͤckung","nach","α","zu","gehen","alle","Strahlen","reflectirt","nach","OI",";","und","eben","dieſe","reflectirten","Strahlen",",","wo","naͤmlich","die","auf","die","Seite","ac","fallenden","Strahlen",",","aubc","reflectirt","nach","oI","kommen",",","ſtellen","dem","Auge","in","O","vermittelſt","des","Prisma's","αβγ",",","ein","reflectirtes","Sonnenbild",",","das","aus","der","Reflexion","aller","Strahlen","entſteht",",","dar","."],"norm_tok":["Diese","beiden","Prismen","senden","nur","noch","die","letzten","gebrochenen","Strahlen","nach","O",",","und","bei","der","geringsten","weiteren","Fortrückung","nach","α","zu","gehen","alle","Strahlen","reflektiert","nach","OI",";","und","eben","diese","reflektierten","Strahlen",",","wo","nämlich","die","auf","die","Seite","ac","fallenden","Strahlen",",","aubc","reflektiert","nach","oI","kommen",",","stellen","dem","Auge","in","O","vermittels","des","Prismas","αβγ",",","ein","reflektiertes","Sonnenbild",",","das","aus","der","Reflexion","aller","Strahlen","entsteht",",","dar","."],"orig_spans":[[0,5],[6,12],[13,20],[21,27],[28,31],[32,36],[37,40],[41,48],[49,60],[61,69],[70,74],[75,76],[76,77],[78,81],[82,85],[86,89],[90,100],[101,108],[109,121],[122,126],[127,128],[129,131],[132,137],[138,142],[143,151],[152,162],[163,167],[168,170],[170,171],[172,175],[176,180],[181,186],[187,199],[200,208],[208,209],[210,212],[213,221],[222,225],[226,229],[230,233],[234,239],[240,242],[243,252],[253,261],[261,262],[263,267],[268,278],[279,283],[284,286],[287,293],[293,294],[295,302],[303,306],[307,311],[312,314],[315,316],[317,328],[329,332],[333,341],[342,345],[345,346],[347,350],[351,363],[364,374],[374,375],[376,379],[380,383],[384,387],[388,397],[398,403],[404,412],[413,421],[421,422],[423,426],[426,427]],"norm_spans":[[0,5],[6,12],[13,20],[21,27],[28,31],[32,36],[37,40],[41,48],[49,60],[61,69],[70,74],[75,76],[76,77],[78,81],[82,85],[86,89],[90,100],[101,109],[110,121],[122,126],[127,128],[129,131],[132,137],[138,142],[143,151],[152,163],[164,168],[169,171],[171,172],[173,176],[177,181],[182,187],[188,201],[202,210],[210,211],[212,214],[215,222],[223,226],[227,230],[231,234],[235,240],[241,243],[244,253],[254,262],[262,263],[264,268],[269,280],[281,285],[286,288],[289,295],[295,296],[297,304],[305,308],[309,313],[314,316],[317,318],[319,329],[330,333],[334,341],[342,345],[345,346],[347,350],[351,364],[365,375],[375,376],[377,380],[381,384],[385,388],[389,398],[399,404],[405,413],[414,422],[422,423],[424,427],[427,428]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.790500164031982} +{"basename":"brandes_naturlehre02_1831","par_idx":1835,"date":1831,"orig":"Die hiezu erforderliche Lage des Prisma's iſt 88 Grad von der Sonne, wo ungefaͤhr die Nebenſonnen f, g, beobachtet worden ſind.","norm":"Die hierzu erforderliche Lage des Prismas ist 88 Grad von der Sonne, wo ungefähr die Nebensonnen f, g, beobachtet worden 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+{"basename":"brandes_naturlehre02_1831","par_idx":1836,"date":1831,"orig":"Ob dieſe Erklaͤrung ganz ausreicht, das wage ich nicht zu entſcheiden; aber ſie iſt wenigſtens bis jetzt die einzige, die einiges Gewicht zu haben ſcheint, und das ſilberweiße Anſehen dieſer Nebenſonnen deutet auf das Entſtehen aus der vollkommenen Spiegelung in den Prismen hin .","norm":"Ob diese Erklärung ganz ausreicht, das wage ich nicht zu entscheiden; aber sie ist wenigstens bis jetzt die einzige, die einiges Gewicht zu haben scheint, und das silberweiße Ansehen dieser Nebensonnen deutet auf das Entstehen aus der vollkommenen Spiegelung in den Prismen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1838,"date":1831,"orig":"Die Erklaͤrung der beiden geneigten Kreiſe rhma, shla muß ohne Zweifel auf eben den Gruͤnden beruhen, wie die Erklaͤrung des weißen Horizontalkreiſes, alſo auf Spiegelung in den Schneenadeln.","norm":"Die Erklärung der beiden geneigten Kreise rhma, shla muss ohne Zweifel auf eben den Gründen beruhen, wie die Erklärung des weißen Horizontalkreises, also auf Spiegelung in den 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+{"basename":"brandes_naturlehre02_1831","par_idx":1839,"date":1831,"orig":"Da nun die Schneenadeln ſich immer unter Winkeln von 60 Graden vereinigen, ſo giebt es an den verticalen Nadeln gewiß unzaͤhlige, die unter 60 Grad geneigt ſind, und wenn dieſe oder eine uͤberwiegende Zahl von ihnen eine parallele Lage haben, ſo muͤſſen ſolche helle Kreiſe entſtehen.","norm":"Da nun die Schneenadeln sich immer unter Winkeln von 60 Geraden vereinigen, so gibt es an den vertikalen Nadeln gewiss unzählige, die unter 60 Grad geneigt sind, und wenn diese oder eine überwiegende Zahl von ihnen eine parallele Lage haben, so müssen solche helle Kreise 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+{"basename":"brandes_naturlehre02_1831","par_idx":1840,"date":1831,"orig":"Ihre Seltenheit haͤngt wohl davon ab, daß nur ſelten dieſe parallele Lage ſtatt findet.","norm":"Ihre Seltenheit hängt wohl davon ab, dass nur selten diese parallele Lage 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viele horizontale Schneenadeln vorhanden sind, so muss sich auch neben dem oberen und neben dem unteren Teile des ersten Ringes eine Lichterscheinung von bedeutendem Glanze, ein vom Ringe sich nach außen entfernender sehr glänzender Bogen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1844,"date":1831,"orig":"Die Theorie giebt an, daß dieſe Bogen nicht immer als Kreisbogen erſcheinen muͤſſen, und bei kuͤnftigen Beobachtungen wird es durch Ausmeſſung dieſer Bogen moͤglich ſein, die Richtigkeit der Theorie zu pruͤfen.","norm":"Die Theorie gibt an, dass diese Bogen nicht immer als Kreisbogen erscheinen müssen, und bei künftigen Beobachtungen wird es durch Ausmessung dieser Bogen möglich sein, die Richtigkeit der Theorie zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":1845,"date":1831,"orig":"Aehnliche Betrachtungen finden fuͤr die Beruͤhrungsbogen am zweiten Ringe, die allemal ſchoͤnfarbig ſind und darin dem zweiten Ringe ſelbſt gleichen, ſtatt; die Theorie zeigt, daß ſie bei 30 Grad Sonnenhoͤhe ſich beſſer als bei ganz niedrigem Stande der Sonne zeigen muͤſſen, und bietet daher wieder den Beobachtern Pruͤfungsmittel, um zu ſehen, ob die Erfahrung hiemit uͤbereinſtimmt, dar.","norm":"Ähnliche Betrachtungen finden für die Berührungsbogen am zweiten Ringe, die allemal schönfarbig sind und darin dem zweiten Ringe selbst gleichen, statt; die Theorie zeigt, dass sie bei 30 Grad Sonnenhöhe sich besser als bei ganz niedrigem Stande der Sonne zeigen müssen, und bietet daher wieder den Beobachtern Prüfungsmittel, um zu sehen, ob die Erfahrung hiermit übereinstimmt, dar.","orig_tok":["Aehnliche","Betrachtungen","finden","fuͤr","die","Beruͤhrungsbogen","am","zweiten","Ringe",",","die","allemal","ſchoͤnfarbig","ſind","und","darin","dem","zweiten","Ringe","ſelbſt","gleichen",",","ſtatt",";","die","Theorie","zeigt",",","daß","ſie","bei","30","Grad","Sonnenhoͤhe","ſich","beſſer","als","bei","ganz","niedrigem","Stande","der","Sonne","zeigen","muͤſſen",",","und","bietet","daher","wieder","den","Beobachtern","Pruͤfungsmittel",",","um","zu","ſehen",",","ob","die","Erfahrung","hiemit","uͤbereinſtimmt",",","dar","."],"norm_tok":["Ähnliche","Betrachtungen","finden","für","die","Berührungsbogen","am","zweiten","Ringe",",","die","allemal","schönfarbig","sind","und","darin","dem","zweiten","Ringe","selbst","gleichen",",","statt",";","die","Theorie","zeigt",",","dass","sie","bei","30","Grad","Sonnenhöhe","sich","besser","als","bei","ganz","niedrigem","Stande","der","Sonne","zeigen","müssen",",","und","bietet","daher","wieder","den","Beobachtern","Prüfungsmittel",",","um","zu","sehen",",","ob","die","Erfahrung","hiermit","übereinstimmt",",","dar","."],"orig_spans":[[0,9],[10,23],[24,30],[31,35],[36,39],[40,56],[57,59],[60,67],[68,73],[73,74],[75,78],[79,86],[87,99],[100,104],[105,108],[109,114],[115,118],[119,126],[127,132],[133,139],[140,148],[148,149],[150,155],[155,156],[157,160],[161,168],[169,174],[174,175],[176,179],[180,183],[184,187],[188,190],[191,195],[196,207],[208,212],[213,219],[220,223],[224,227],[228,232],[233,242],[243,249],[250,253],[254,259],[260,266],[267,274],[274,275],[276,279],[280,286],[287,292],[293,299],[300,303],[304,315],[316,331],[331,332],[333,335],[336,338],[339,344],[344,345],[346,348],[349,352],[353,362],[363,369],[370,384],[384,385],[386,389],[389,390]],"norm_spans":[[0,8],[9,22],[23,29],[30,33],[34,37],[38,53],[54,56],[57,64],[65,70],[70,71],[72,75],[76,83],[84,95],[96,100],[101,104],[105,110],[111,114],[115,122],[123,128],[129,135],[136,144],[144,145],[146,151],[151,152],[153,156],[157,164],[165,170],[170,171],[172,176],[177,180],[181,184],[185,187],[188,192],[193,203],[204,208],[209,215],[216,219],[220,223],[224,228],[229,238],[239,245],[246,249],[250,255],[256,262],[263,269],[269,270],[271,274],[275,281],[282,287],[288,294],[295,298],[299,310],[311,325],[325,326],[327,329],[330,332],[333,338],[338,339],[340,342],[343,346],[347,356],[357,364],[365,378],[378,379],[380,383],[383,384]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.761000156402588} +{"basename":"brandes_naturlehre02_1831","par_idx":1846,"date":1831,"orig":"Dies ſind die, wie ich hoffe, nicht ganz mißlungenen Verſuche, dieſe verwickelte Luft-Erſcheinung, wenn ſie am meiſten regelmaͤßig ſich darſtellt, zu erklaͤren; manche einzelne Erſcheinungen, wo noch mehr Kreiſe ſich dargeſtellt haben ſollen, wo der ſtarke Glanz der Nebenſonnen vielleicht hinreichte, um dieſe wieder mit aͤhnlichen Kreiſen wie die wahre Sonne zu umgeben, oder wo vielleicht andre Nebenumſtaͤnde mitwirkten, laſſen ſich ſchwerlich ſchon jetzt voͤllig erklaͤren, und ich uͤbergehe ſie hier um ſo mehr, da ich ohnehin ſchon eine Entſchuldigung meines langen Verweilens bei einer einzigen Erſcheinung noͤthig finde .","norm":"Dies sind die, wie ich hoffe, nicht ganz misslungenen Versuche, diese verwickelte Luft-Erscheinung, wenn sie am meisten regelmäßig sich darstellt, zu erklären; manche einzelne Erscheinungen, wo noch mehr Kreise sich dargestellt haben sollen, wo der starke Glanz der Nebensonnen vielleicht hinreichte, um diese wieder mit ähnlichen Kreisen wie die wahre Sonne zu umgeben, oder wo vielleicht andere Nebenumstände mitwirkten, lassen sich schwerlich schon jetzt völlig erklären, und ich übergehe sie hier um so mehr, da ich ohnehin schon eine Entschuldigung meines langen Verweilens bei einer einzigen Erscheinung nötig 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Woͤrterbuch Art. Hof, darf ich wohl den Beobachtern zur Pruͤfung empfehlen, indem ſie berechnete Zahlen genug enthalten, mit denen die Beobachtungen uͤbereinſtimmen muͤſſen, wenn die Theorie richtig iſt.","norm":"Meine umständlichen theoretischen Untersuchungen über diesen Gegenstand in Gehleres phys. Wörterbuch Art. Hof, darf ich wohl den Beobachtern zur Prüfung empfehlen, indem sie berechnete Zahlen genug enthalten, mit denen die Beobachtungen übereinstimmen müssen, wenn die Theorie richtig 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+{"basename":"brandes_naturlehre02_1831","par_idx":1850,"date":1831,"orig":"Farben der undurchſichtigen Koͤrper.","norm":"Farben der undurchsichtigen Körper.","orig_tok":["Farben","der","undurchſichtigen","Koͤrper","."],"norm_tok":["Farben","der","undurchsichtigen","Körper","."],"orig_spans":[[0,6],[7,10],[11,27],[28,35],[35,36]],"norm_spans":[[0,6],[7,10],[11,27],[28,34],[34,35]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.098299980163574} +{"basename":"brandes_naturlehre02_1831","par_idx":1851,"date":1831,"orig":"Daß die Entſtehung der Farben ohne die ungleichen Farbenſtrahlen des auffallenden Lichtes nicht ſtatt finden koͤnne, das geht wohl ſchon aus den vorigen Betrachtungen hervor.","norm":"Dass die Entstehung der Farben ohne die ungleichen Farbenstrahlen des auffallenden Lichtes nicht stattfinden könne, das geht wohl schon aus den vorigen Betrachtungen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1852,"date":1831,"orig":"Der rothe Koͤrper erſcheint roth, weil er die rothen Lichtſtrahlen zuruͤckwirft, wenig vermiſcht mit andern Farbenſtrahlen, der weiße Koͤrper erſcheint weiß, weil er alle Lichtſtrahlen in ziemlich gleichem Maaße zuruͤckwirft; und wenn gleich die eigenthuͤmliche Beſchaffenheit des einen Koͤrpers ihn faͤhig macht, die rothen Lichtſtrahlen zuruͤck zu geben, waͤhrend ein andrer fuͤr die zerſtreute Reflexion der blauen, ein andrer fuͤr die zerſtreute Reflexion aller Strahlen geeignet iſt, ſo muß es doch in der Beleuchtung rothe Strahlen geben, wenn der Koͤrper, den wir roth zu ſehen gewohnt ſind, roth erſcheinen ſoll.","norm":"Der rote Körper erscheint rot, weil er die roten Lichtstrahlen zurückwirft, wenig vermischt mit anderen Farbenstrahlen, der weiße Körper erscheint weiß, weil er alle Lichtstrahlen in ziemlich gleichem Maße zurückwirft; und wenn gleich die eigentümliche Beschaffenheit des einen Körpers ihn 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Strahlen zurückgeben kann, und so für alle 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+{"basename":"brandes_naturlehre02_1831","par_idx":1855,"date":1831,"orig":"Selbſt die im vollen Sonnenlichte blau erſcheinende Flaͤche zeigt ſich uns roth, aber mit weniger Erleuchtung, wenn ſie im Roth des prismatiſchen Sonnenbildes liegt; ſie warf naͤmlich im vollen Sonnenlichte vorzuͤglich die blauen Lichtſtrahlen zuruͤck, und nur ſehr wenige andre Strahlen, die wir zum Beiſpiel am blauen Seidenzeuge als den Spiegelglanz der Oberflaͤche darbietend beobachten, wurden ebenfalls von ihr zuruͤckgegeben; daher kann ſie da, wo die blauen Lichtſtrahlen ganz fehlen, uns nur als ſehr wenig Licht gebend erſcheinen, und wo nur rothe Strahlen auffallen, da wird dieſes wenige Licht rothes Licht ſein.","norm":"Selbst die im vollen Sonnenlichte blau erscheinende Fläche zeigt sich uns rot, aber mit weniger Erleuchtung, wenn sie im Rot des prismatischen Sonnenbildes liegt; sie warf nämlich im vollen Sonnenlichte vorzüglich die blauen Lichtstrahlen zurück, und nur sehr wenige andere Strahlen, die wir zum Beispiel am blauen Seidenzeuge als den Spiegelglanz der Oberfläche darbietend beobachten, wurden ebenfalls von ihr zurückgegeben; daher kann sie da, wo die blauen Lichtstrahlen ganz fehlen, uns nur als sehr wenig Licht gebend erscheinen, und wo nur rote Strahlen auffallen, da wird dieses wenige Licht rotes Licht 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Lampenlicht.","orig_tok":["Am","auffallendſten","ſehen","wir",",","wie","die","Farben","der","Koͤrper","von","der","Erleuchtung","abhaͤngig","ſind",",","bei","der","Erleuchtung","durch","Lampenlicht","."],"norm_tok":["Am","auffallendsten","sehen","wir",",","wie","die","Farben","der","Körper","von","der","Erleuchtung","abhängig","sind",",","bei","der","Erleuchtung","durch","Lampenlicht","."],"orig_spans":[[0,2],[3,17],[18,23],[24,27],[27,28],[29,32],[33,36],[37,43],[44,47],[48,55],[56,59],[60,63],[64,75],[76,85],[86,90],[90,91],[92,95],[96,99],[100,111],[112,117],[118,129],[129,130]],"norm_spans":[[0,2],[3,17],[18,23],[24,27],[27,28],[29,32],[33,36],[37,43],[44,47],[48,54],[55,58],[59,62],[63,74],[75,83],[84,88],[88,89],[90,93],[94,97],[98,109],[110,115],[116,127],[127,128]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.602099895477295} +{"basename":"brandes_naturlehre02_1831","par_idx":1857,"date":1831,"orig":"Ich habe ſchon neulich erwaͤhnt, daß ein mit Kuͤchenſalz eingeriebener Docht in der Weingeiſtlampe brennend eine Flamme giebt, die durch das Prisma gar kein Roth, kein Gruͤn, kein Blau und auch nur wenig Violett zeigt.","norm":"Ich habe schon neulich erwähnt, dass ein mit Küchensalz eingeriebener Docht in der Weingeistlampe brennend eine Flamme gibt, die durch das Prisma gar kein Rot, kein Grün, kein Blau und auch nur wenig Violett 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+{"basename":"brandes_naturlehre02_1831","par_idx":1874,"date":1831,"orig":"Bei jenen muͤſſen wir wohl annehmen, daß ſie die uͤbrigen Farben ebenſo groͤßtentheils ganz aufheben, wie es bei den undurchſichtigen Koͤrpern mit den ſaͤmmtlichen Lichtſtrahlen ſtatt zu finden ſcheint, die nicht reflectirt werden; das gelbe Glas abſorbirt faſt alle andern Strahlen, wirft von ſeiner hintern Oberflaͤche, oder auch von ſeinen einzelnen Theilchen gelbe Lichtſtrahlen zuruͤck und laͤßt die uͤbrigen gelben Strahlen durch; die an der Vorderflaͤche ſpiegelnd reflectirten Strahlen ſind weiß, indem auf ſie der Koͤrper noch nicht einwirkt.","norm":"Bei jenen müssen wir wohl annehmen, dass sie die übrigen Farben ebenso größtenteils ganz aufheben, wie es bei den undurchsichtigen Körpern mit den sämtlichen Lichtstrahlen stattzufinden scheint, die nicht reflektiert werden; das gelbe Glas absorbiert fast alle anderen Strahlen, wirft von seiner hinteren Oberfläche, oder auch von seinen einzelnen Teilchen gelbe Lichtstrahlen zurück und lässt die übrigen gelben Strahlen durch; die an der Vorderfläche spiegelnd reflektierten Strahlen sind weiß, indem auf sie der Körper noch nicht 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+{"basename":"brandes_naturlehre02_1831","par_idx":1876,"date":1831,"orig":"Das weiße Knochenglas iſt ein ſolcher Koͤrper; es laͤßt vorzuͤglich nur die tief rothen Strahlen durch und die allermeiſten andern reflectirt es, ſo daß dieſer Koͤrper blaulich weiß erſcheint, wenn das Licht auf ihn faͤllt, — weiß, weil ſo viele Farbenſtrahlen gemiſcht reflectirt werden, blaulich weiß, weil die rothen, durchgelaſſenen Strahlen in der Miſchung dieſer Farben fehlen und daher das Blau darin uͤberwiegend wird.","norm":"Das weiße Knochenglas ist ein solcher Körper; es lässt vorzüglich nur die tief roten Strahlen durch und die allermeisten anderen reflektiert es, so dass dieser Körper blaulich weiß erscheint, wenn das Licht auf ihn fällt, — weiß, weil so viele Farbenstrahlen gemischt reflektiert werden, blaulich weiß, weil die roten, durchgelassenen Strahlen in der Mischung dieser Farben fehlen und daher das Blau darin überwiegend 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+{"basename":"brandes_naturlehre02_1831","par_idx":1901,"date":1831,"orig":"— Anders iſt es mit dem Rauche, der von der Sonne beſchienen blau erſcheint, und uns die Sonne roth zeigt, wenn wir ſie durch den Rauch ſehen; der Rauch laͤßt die gelben und rothen Strahlen durch und reflectirt die blauen.","norm":"— Anders ist es mit dem Rauche, der von der Sonne beschienen blau erscheint, und uns die Sonne rot zeigt, wenn wir sie durch den Rauch sehen; der Rauch lässt die gelben und roten Strahlen durch und reflektiert die 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+{"basename":"brandes_naturlehre02_1831","par_idx":1902,"date":1831,"orig":"— Trockne Nebel haben einiges mit dem Rauche gemein.","norm":"— Trockene Nebel haben einiges mit dem Rauche gemein.","orig_tok":["—","Trockne","Nebel","haben","einiges","mit","dem","Rauche","gemein","."],"norm_tok":["—","Trockene","Nebel","haben","einiges","mit","dem","Rauche","gemein","."],"orig_spans":[[0,1],[2,9],[10,15],[16,21],[22,29],[30,33],[34,37],[38,44],[45,51],[51,52]],"norm_spans":[[0,1],[2,10],[11,16],[17,22],[23,30],[31,34],[35,38],[39,45],[46,52],[52,53]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.042099952697754} +{"basename":"brandes_naturlehre02_1831","par_idx":1903,"date":1831,"orig":"Die reine Luft ſcheint dagegen die Eigenſchaft zu haben, daß ſie die mehr brechbaren Strahlen, die zuſammen Blau darſtellen, beſſer zuruͤckwirft, die weniger brechbaren, die in ihrer Miſchung Orange geben, vorzugsweiſe durchlaͤßt.","norm":"Die reine Luft scheint dagegen die Eigenschaft zu haben, dass sie die mehr brechbaren Strahlen, die zusammen Blau darstellen, besser zurückwirft, die weniger brechbaren, die in ihrer Mischung Orange geben, vorzugsweise 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+{"basename":"brandes_naturlehre02_1831","par_idx":1904,"date":1831,"orig":"Dieſe Eigenſchaft erklaͤrt das Blau des Himmels und das Roth der Abendroͤthe.","norm":"Diese Eigenschaft erklärt das Blau des Himmels und das Rot der Abendröte.","orig_tok":["Dieſe","Eigenſchaft","erklaͤrt","das","Blau","des","Himmels","und","das","Roth","der","Abendroͤthe","."],"norm_tok":["Diese","Eigenschaft","erklärt","das","Blau","des","Himmels","und","das","Rot","der","Abendröte","."],"orig_spans":[[0,5],[6,17],[18,26],[27,30],[31,35],[36,39],[40,47],[48,51],[52,55],[56,60],[61,64],[65,76],[76,77]],"norm_spans":[[0,5],[6,17],[18,25],[26,29],[30,34],[35,38],[39,46],[47,50],[51,54],[55,58],[59,62],[63,72],[72,73]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.529599905014038} +{"basename":"brandes_naturlehre02_1831","par_idx":1905,"date":1831,"orig":"Wenn die Luft mit Duͤnſten, die ſich ſchon niederſchlagen, gefuͤllt iſt, ſo iſt der Himmel weißlich, weil von dieſen Duͤnſten weiße Lichtſtrahlen zuruͤckgeworfen werden, die ſich mit dem Blau der in der Luft, gleichſam an jedem Lufttheilchen reflectirten Strahlen miſchen; zu ſolchen Zeiten iſt auch die Abendroͤthe weißlich, hellgelb, weil die durchgelaſſenen Strahlen zwar zum Theil ihres Blau beraubt ſind, aber die Erfuͤllung mit Duͤnſten kein ſehr ungleiches Verhaͤltniß der Farben in den durchgelaſſenen Strahlen zulaͤßt; — die Sonne geht dann nicht roth, ſondern weißlich gelb unter.","norm":"Wenn die Luft mit Dünsten, die sich schon niederschlagen, gefüllt ist, so ist der Himmel weißlich, weil von diesen Dünsten weiße Lichtstrahlen zurückgeworfen werden, die sich mit dem Blau der in der Luft, gleichsam an jedem Luftteilchen reflektierten Strahlen mischen; zu solchen Zeiten ist auch die Abendröte weißlich, hellgelb, weil die durchgelassenen Strahlen zwar zum Teil ihres Blau beraubt sind, aber die 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endlich gegen das Zenith blau zeigt.","norm":"Wenn an einem heiteren Abend die Sonne untergegangen ist, so zeigt sich bald am östlichen Horizonte ein dunkelblauer bogenförmig begrenzter Raum, über welchem sich der Himmel etwas rötlich, höher hinauf weiß, endlich gegen das Zenit blau 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diesen Bogen umgibt, gehört einer Gegend an, wo das von der reineren oberen Luft reflektierte Blau der Sonnenstrahlen selbst sich mit dem von den Dünsten zurückgeworfenen Rot der Abendrötestrahlen vermischt, und so dem Auge ein aus allen Farbenstrahlen gemischtes Weiß darstellt; am Zenit endlich ist der Himmel blau, weil unsere Gesichtslinie durch zu wenige rotgefärbte Dünste geht, um uns durch ihre reflektierten Strahlen eine das Blau ganz aufhebende weiße Mischung zu 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darstellt.","orig_tok":["Ungefaͤhr","ebenſo","verhaͤlt","es","ſich","am","weſtlichen","Himmel",",","wo","ebenfalls","das","Orange","der","Abendroͤthe","einige","Zeit","nach","Sonnen-Untergang","einen","Uebergang","durch","Weiß","zum","Blau",",","das","am","Zenith","ſich","noch","zeigt",",","darſtellt","."],"norm_tok":["Ungefähr","ebenso","verhält","es","sich","am","westlichen","Himmel",",","wo","ebenfalls","das","Orange","der","Abendröte","einige","Zeit","nach","Sonnenuntergang","einen","Übergang","durch","Weiß","zum","Blau",",","das","am","Zenit","sich","noch","zeigt",",","darstellt","."],"orig_spans":[[0,9],[10,16],[17,25],[26,28],[29,33],[34,36],[37,47],[48,54],[54,55],[56,58],[59,68],[69,72],[73,79],[80,83],[84,95],[96,102],[103,107],[108,112],[113,129],[130,135],[136,145],[146,151],[152,156],[157,160],[161,165],[165,166],[167,170],[171,173],[174,180],[181,185],[186,190],[191,196],[196,197],[198,207],[207,208]],"norm_spans":[[0,8],[9,15],[16,23],[24,26],[27,31],[32,34],[35,45],[46,52],[52,53],[54,56],[57,66],[67,70],[71,77],[78,81],[82,91],[92,98],[99,103],[104,108],[109,124],[125,130],[131,139],[140,145],[146,150],[151,154],[155,159],[159,160],[161,164],[165,167],[168,173],[174,178],[179,183],[184,189],[189,190],[191,200],[200,201]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.517099857330322} +{"basename":"brandes_naturlehre02_1831","par_idx":1921,"date":1831,"orig":"Die Duͤnſte naͤmlich, die ſich in der nach dieſem Weiß hin gezogenen Geſichtslinie befinden, geben die rothen Strahlen theils der Sonne ſelbſt, theils der Abendroͤthe zuruͤck, und die hoͤheren reineren Luftſchichten wuͤrden fuͤr ſich allein ſich blau zeigen, ſie gewaͤhren uns daher ebenfalls eine Miſchung aller Farben, und darum iſt der Uebergang vom Orange zum Blau hier gewoͤhnlich ein ziemlich reines Weiß. —","norm":"Die Dünste nämlich, die sich in der nach diesem Weiß hin gezogenen Gesichtslinie befinden, geben die roten Strahlen teils der Sonne selbst, teils der Abendröte zurück, und die höheren reineren Luftschichten würden für sich allein sich blau zeigen, sie gewähren uns daher ebenfalls eine Mischung aller Farben, und darum ist der Übergang vom Orange zum Blau hier gewöhnlich ein ziemlich reines Weiß . 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+{"basename":"brandes_naturlehre02_1831","par_idx":1925,"date":1831,"orig":"Wenn wir anhaltend und mit einiger An��trengung des Auges auf einen ſchwarzen Kreis oder eine andre ſchwarze nicht zu ausgedehnte Flaͤche ſehen, die auf weißem Grunde liegt, ſo bemerken wir, ſobald wir das Auge ein wenig von jenem, ſcharf ins Auge gefaßten Gegenſtande auf die daneben liegenden weißen Flaͤchentheile wenden, daß dieſe uns etwas glaͤnzender weiß ſcheinen, als die entfernteren; und umgekehrt, wenn ein weißer Kreis auf grauem Grunde liegend mit Anſtrengung des Auges angeſehen wird, ſo bemerkt man, daß das Grau in ſeiner Naͤhe dunkler erſcheint.","norm":"Wenn wir anhaltend und mit einiger Anstrengung des Auges auf einen schwarzen Kreis oder eine andere schwarze nicht zu ausgedehnte Fläche sehen, die auf weißem Grunde liegt, so bemerken wir, sobald wir das Auge ein wenig von jenem, scharf ins Auge gefassten Gegenstande auf die daneben liegenden weißen Flächenteile wenden, dass diese uns etwas glänzender weiß scheinen, als die entfernteren; und umgekehrt, wenn ein weißer Kreis auf grauem Grunde liegend mit Anstrengung des Auges angesehen wird, so bemerkt man, dass das Grau in seiner Nähe dunkler 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ausgehenden Lichtstrahlen noch lebhaft gerührt werden, erhalten jene durch eben solche Lichtstrahlen eine schwächere Empfindung und die Flächenteile, deren Bild auf die mehr gereizte Stelle fällt, erscheinen uns dunkel.","orig_tok":["Dieſe","Erſcheinung","hat","in","der","Blendung","und","dem","Ueberreitze",",","der","durch","helleres","Licht","auf","einige","Theile","der","Netzhaut","ausgeuͤbt","worden",",","ihren","Grund",";","dieſe","Theile","naͤmlich",",","die","bei","gleichmaͤßigem","ſtarren","Hinblicken","den","ſtaͤrkern","Lichtreitz","empfunden","haben",",","ſind","abgeſtumpfter",",","als","die","zunaͤchſt","benachbarten",";","waͤhrend","daher","dieſe","durch","die","vom","Grau","ausgehenden","Lichtſtrahlen","noch","lebhaft","geruͤhrt","werden",",","erhalten","jene","durch","eben","ſolche","Lichtſtrahlen","eine","ſchwaͤchere","Empfindung","und","die","Flaͤchentheile",",","deren","Bild","auf","die","mehr","gereitzte","Stelle","faͤllt",",","erſcheinen","uns","dunkel","."],"norm_tok":["Diese","Erscheinung","hat","in","der","Blendung","und","dem","Überreize",",","der","durch","helleres","Licht","auf","einige","Teile","der","Netzhaut","ausgeübt","worden",",","ihren","Grund",";","diese","Teile","nämlich",",","die","bei","gleichmäßigem","starren","Hinblicken","den","stärkeren","Lichtreiz","empfunden","haben",",","sind","abgestumpfter",",","als","die","zunächst","benachbarten",";","während","daher","diese","durch","die","vom","Grau","ausgehenden","Lichtstrahlen","noch","lebhaft","gerührt","werden",",","erhalten","jene","durch","eben","solche","Lichtstrahlen","eine","schwächere","Empfindung","und","die","Flächenteile",",","deren","Bild","auf","die","mehr","gereizte","Stelle","fällt",",","erscheinen","uns","dunkel","."],"orig_spans":[[0,5],[6,17],[18,21],[22,24],[25,28],[29,37],[38,41],[42,45],[46,57],[57,58],[59,62],[63,68],[69,77],[78,83],[84,87],[88,94],[95,101],[102,105],[106,114],[115,124],[125,131],[131,132],[133,138],[139,144],[144,145],[146,151],[152,158],[159,167],[167,168],[169,172],[173,176],[177,191],[192,199],[200,210],[211,214],[215,224],[225,235],[236,245],[246,251],[251,252],[253,257],[258,271],[271,272],[273,276],[277,280],[281,290],[291,303],[303,304],[305,313],[314,319],[320,325],[326,331],[332,335],[336,339],[340,344],[345,356],[357,370],[371,375],[376,383],[384,392],[393,399],[399,400],[401,409],[410,414],[415,420],[421,425],[426,432],[433,446],[447,451],[452,463],[464,474],[475,478],[479,482],[483,497],[497,498],[499,504],[505,509],[510,513],[514,517],[518,522],[523,532],[533,539],[540,546],[546,547],[548,558],[559,562],[563,569],[569,570]],"norm_spans":[[0,5],[6,17],[18,21],[22,24],[25,28],[29,37],[38,41],[42,45],[46,55],[55,56],[57,60],[61,66],[67,75],[76,81],[82,85],[86,92],[93,98],[99,102],[103,111],[112,120],[121,127],[127,128],[129,134],[135,140],[140,141],[142,147],[148,153],[154,161],[161,162],[163,166],[167,170],[171,184],[185,192],[193,203],[204,207],[208,217],[218,227],[228,237],[238,243],[243,244],[245,249],[250,263],[263,264],[265,268],[269,272],[273,281],[282,294],[294,295],[296,303],[304,309],[310,315],[316,321],[322,325],[326,329],[330,334],[335,346],[347,360],[361,365],[366,373],[374,381],[382,388],[388,389],[390,398],[399,403],[404,409],[410,414],[415,421],[422,435],[436,440],[441,451],[452,462],[463,466],[467,470],[471,483],[483,484],[485,490],[491,495],[496,499],[500,503],[504,508],[509,517],[518,524],[525,530],[530,531],[532,542],[543,546],[547,553],[553,554]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.560299873352051} +{"basename":"brandes_naturlehre02_1831","par_idx":1928,"date":1831,"orig":"Im Gegentheil, die Theile der Netzhaut, die ſich bei dem Blicke auf das Schwarz ausgeruht haben, werden lebhafter von den Strahlen des Weiß oder Grau gereitzt, und geben uns die Empfindung eines lebhafteren Eindrucks, eines glaͤnzenderen Weißes, eines helleren Grau.","norm":"Im Gegenteil, die Teile der Netzhaut, die sich bei dem Blicke auf das Schwarz ausgeruht haben, werden lebhafter von den Strahlen des Weiß oder Grau gereizt, und geben uns die Empfindung eines lebhafteren Eindrucks, eines glänzenderen Weißes, eines helleren 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+{"basename":"brandes_naturlehre02_1831","par_idx":1929,"date":1831,"orig":"Daß wir, nachdem wir in die untergehende Sonne geſehen haben, runde Schattenbilder vor unſerm Auge ſchweben ſehen, iſt bekannt und hat eben den Grund; der dunkeln runden Bilder ſind gewoͤhnlich viele, ohne Zweifel weil wir die Sonne nicht gut mit der Stetigkeit anſehen koͤnnen, daß nur ein immer gleicher Theil der Netzhaut geruͤhrt wuͤrde.","norm":"Dass wir, nachdem wir in die untergehende Sonne gesehen haben, runde Schattenbilder vor unserem Auge schweben sehen, ist bekannt und hat eben den Grund; der dunklen runden Bilder sind gewöhnlich viele, ohne Zweifel weil wir die Sonne nicht gut mit der Stetigkeit ansehen können, dass nur ein immer gleicher Teil der Netzhaut gerührt 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+{"basename":"brandes_naturlehre02_1831","par_idx":1934,"date":1831,"orig":"Wir ſehen naͤmlich, daß das Auge abgeſtumpft wird fuͤr den Eindruck der rothen Strahlen, wenn dieſe anhaltend und mit lebhaftem Glanze einen beſtimmten Theil der Netzhaut treffen; faͤllt nun auf eben den Theil der Netzhaut ein Bild eines weißen Koͤrpers, ſo machen die aus dem Weiß hervorgehenden blauen, gruͤnen, gelben Strahlen den gewoͤhnlichen, die rothen Strahlen einen ſchwaͤchern Eindruck, und das Gruͤn, welches aus der Miſchung der erſtern entſpringt, zeigt ſich uͤberwiegend in dem Bilde, welches eigentlich weiß ſein ſollte; ein ſehr helles Gruͤn aber muß ſich zeigen, weil es ſich nur in dem Maaße mit dem Weiß gemiſcht zeigt, als der ſchwaͤchere Eindruck des Roth das Gruͤn vorherrſchend macht, indem ja der Eindruck des Roth keinesweges ganz fehlt.","norm":"Wir sehen nämlich, dass das Auge abgestumpft wird für den Eindruck der roten Strahlen, wenn diese anhaltend und mit lebhaftem Glanze einen bestimmten 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+{"basename":"brandes_naturlehre02_1831","par_idx":1935,"date":1831,"orig":"Von Goͤthe hat dies etwas anders erklaͤrt, indem er eine Gegenwirkung des Auges annimmt, eine eigene Art von Lebensthaͤtigkeit, die einen Gegenſatz nach zu ſtarkem Reitze hervorbringt und hier beim Sehen einen Gegenſatz, der auf unſer Bewußtſein ſo wirkt, wie es die Ergaͤnzungsfarbe in andern Faͤllen als objective Farbe thut.","norm":"Von Goethe hat dies etwas anders erklärt, indem er eine Gegenwirkung des Auges annimmt, eine eigene Art von Lebenstätigkeit, die einen Gegensatz nach zu starkem Reize hervorbringt und hier beim Sehen einen Gegensatz, der auf unser Bewusstsein so wirkt, wie es die Ergänzungsfarbe in anderen Fällen als objektive Farbe 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hieher.","norm":"Die schon vorhin erwähnten Schattenbilder der Sonne sind, wenn man sie genau betrachtet, blau oder purpurfarben, so wie es die Ergänzungsfarbe der orangefarben untergehenden Sonne fordert, und das Bild der Lichtflamme im geschlossenen Auge, das nach langem Hinsehen auf die Lichtflamme bemerkt wird, gehört gleichfalls 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Stellt (Fig. 107.) AB eine gelbe Glasplatte, DE einen dunkeln Gegenſtand, O das Auge vor, ſo wiſſen Sie, daß ſich dem Auge zwei Bilder des dunkeln Gegenſtandes zeigen, eines durch die zwiſchen d und e zuruͤckgeworfenen Strahlen an der Vorderſeite des Glaſes, ein zweites durch die zwiſchen dI und eI an der Hinterſeite zuruͤckgeworfenen Strahlen.","norm":"Eine andere hiermit verwandte Erscheinung ist das Doppelbild bei der Spiegelung in einer gefärbten, unbelegten Glasplatte, wo nämlich der dunkle Körper neben einer weißen Fläche in dem Bilde, welches von der Spiegelung an der Hinterseite der Glasplatte ausgeht, am Rande die Ergänzungsfarbe zu der des gefärbten Glases zeigt. Stellt (Fig. 107.) 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+{"basename":"brandes_naturlehre02_1831","par_idx":1987,"date":1831,"orig":"Auch die Aberration des Lichtes iſt dieſer Hypotheſe angemeſſen, indem ſich uns die Einwirkung des Lichtes nach den Geſetzen der Zuſammenſetzung der Bewegung darſtellen muß, wenn wir die bewegten Lichttheilchen auf der bewegten Erde wahrnehmen; wir muͤſſen unſer Fernrohr in die Stellung bringen, die der relativen Bewegung des Lichttheilchens gegen die Erde gemaͤß iſt, grade ſo, wie die Beobachtung der Aberration es zeigt.","norm":"Auch die Aberration des Lichtes ist dieser Hypothese angemessen, indem sich uns die Einwirkung des Lichtes nach den Gesetzen der Zusammensetzung der Bewegung darstellen muss, wenn wir die bewegten Lichtteilchen auf der bewegten Erde wahrnehmen; wir müssen unser Fernrohr in die Stellung bringen, die der relativen Bewegung des Lichtteilchens gegen die Erde gemäß ist, gerade so, wie die Beobachtung der Aberration es 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+{"basename":"brandes_naturlehre02_1831","par_idx":1989,"date":1831,"orig":"Durchſichtigkeit beſtaͤnde alſo darin, daß die Lichttheilchen leicht ſich eine Bahn durch den Koͤrper machten, und undurchſichtige Koͤrper waͤren die, in deren Structur der Fortgang des Lichtes Hinderniſſe findet, durch welche es ſeine Bewegung verliert.","norm":"Durchsichtigkeit bestände also darin, dass die Lichtteilchen leicht sich eine Bahn durch den Körper machten, und undurchsichtige Körper wären die, in deren Struktur der Fortgang des Lichtes Hindernisse findet, durch welche es seine Bewegung 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+{"basename":"brandes_naturlehre02_1831","par_idx":1990,"date":1831,"orig":"Dabei iſt das wenigſtens gewiß, daß Koͤrper, deren Structur deutlich geſchichtet, faſerig, oder ſonſt von Zwiſchenraͤumen unterbrochen iſt, ſich allemal undurchſichtig zeigen, und daß Gleichfoͤrmigkeit der Dichtigkeit ſelbſt in den kleinſten Theilen, ſo wie ſie bei fluͤſſigen Koͤrpern in hohem Grade ſtatt findet, die Durchſichtigkeit befoͤrdert; daher wird Papier mit Waſſer getraͤnkt durchſcheinend und mit Oel getraͤnkt noch mehr durchſichtig, weil die Einwirkung des Oeles auf die Lichttheilchen noch naͤher der Einwirkung der Papiertheilchen gleich ſein muß.","norm":"Dabei ist das wenigstens gewiss, dass Körper, deren Struktur deutlich geschichtet, faserig, oder sonst von Zwischenräumen unterbrochen ist, sich allemal undurchsichtig zeigen, und dass Gleichförmigkeit der Dichtigkeit selbst in den kleinsten Teilen, so wie sie bei flüssigen Körpern in hohem Grade stattfindet, die Durchsichtigkeit befördert; daher wird Papier mit Wasser getränkt durchscheinend und mit Öl getränkt noch mehr durchsichtig, weil die Einwirkung des Öles auf die Lichtteilchen noch näher der Einwirkung der Papierteilchen gleich sein 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+{"basename":"brandes_naturlehre02_1831","par_idx":1991,"date":1831,"orig":"An den Grenzen ungleich auf das Licht wirkender Koͤrper wird das Licht reflectirt und zerſtreut, alſo im Innern der Koͤrper ganz und gar unwirkſam.","norm":"An den Grenzen ungleich auf das Licht wirkender Körper wird das Licht reflektiert und zerstreut, also im Inneren der Körper ganz und gar unwirksam.","orig_tok":["An","den","Grenzen","ungleich","auf","das","Licht","wirkender","Koͤrper","wird","das","Licht","reflectirt","und","zerſtreut",",","alſo","im","Innern","der","Koͤrper","ganz","und","gar","unwirkſam","."],"norm_tok":["An","den","Grenzen","ungleich","auf","das","Licht","wirkender","Körper","wird","das","Licht","reflektiert","und","zerstreut",",","also","im","Inneren","der","Körper","ganz","und","gar","unwirksam","."],"orig_spans":[[0,2],[3,6],[7,14],[15,23],[24,27],[28,31],[32,37],[38,47],[48,55],[56,60],[61,64],[65,70],[71,81],[82,85],[86,95],[95,96],[97,101],[102,104],[105,111],[112,115],[116,123],[124,128],[129,132],[133,136],[137,146],[146,147]],"norm_spans":[[0,2],[3,6],[7,14],[15,23],[24,27],[28,31],[32,37],[38,47],[48,54],[55,59],[60,63],[64,69],[70,81],[82,85],[86,95],[95,96],[97,101],[102,104],[105,112],[113,116],[117,123],[124,128],[129,132],[133,136],[137,146],[146,147]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.100100040435791} +{"basename":"brandes_naturlehre02_1831","par_idx":1992,"date":1831,"orig":"Geſetze der Brechung nach dieſer Theorie.","norm":"Gesetze der Brechung nach dieser Theorie.","orig_tok":["Geſetze","der","Brechung","nach","dieſer","Theorie","."],"norm_tok":["Gesetze","der","Brechung","nach","dieser","Theorie","."],"orig_spans":[[0,7],[8,11],[12,20],[21,25],[26,32],[33,40],[40,41]],"norm_spans":[[0,7],[8,11],[12,20],[21,25],[26,32],[33,40],[40,41]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.990799903869629} +{"basename":"brandes_naturlehre02_1831","par_idx":1993,"date":1831,"orig":"Da die Brechung des Lichtes ſo ſehr genuͤgend von Newton erklaͤrt iſt, ſo will ich dieſe hier eher als die Zuruͤckwerfung abhandeln, um ſo mehr, da die Einwuͤrfe gegen die Erklaͤrung der letztern dadurch verſtaͤndlicher werden.","norm":"Da die Brechung des Lichtes so sehr genügend von Newton erklärt ist, so will ich diese hier eher als die Zurückwerfung abhandeln, um so mehr, da die Einwürfe gegen die Erklärung der letzteren dadurch verständlicher werden.","orig_tok":["Da","die","Brechung","des","Lichtes","ſo","ſehr","genuͤgend","von","Newton","erklaͤrt","iſt",",","ſo","will","ich","dieſe","hier","eher","als","die","Zuruͤckwerfung","abhandeln",",","um","ſo","mehr",",","da","die","Einwuͤrfe","gegen","die","Erklaͤrung","der","letztern","dadurch","verſtaͤndlicher","werden","."],"norm_tok":["Da","die","Brechung","des","Lichtes","so","sehr","genügend","von","Newton","erklärt","ist",",","so","will","ich","diese","hier","eher","als","die","Zurückwerfung","abhandeln",",","um","so","mehr",",","da","die","Einwürfe","gegen","die","Erklärung","der","letzteren","dadurch","verständlicher","werden","."],"orig_spans":[[0,2],[3,6],[7,15],[16,19],[20,27],[28,30],[31,35],[36,45],[46,49],[50,56],[57,65],[66,69],[69,70],[71,73],[74,78],[79,82],[83,88],[89,93],[94,98],[99,102],[103,106],[107,121],[122,131],[131,132],[133,135],[136,138],[139,143],[143,144],[145,147],[148,151],[152,161],[162,167],[168,171],[172,182],[183,186],[187,195],[196,203],[204,219],[220,226],[226,227]],"norm_spans":[[0,2],[3,6],[7,15],[16,19],[20,27],[28,30],[31,35],[36,44],[45,48],[49,55],[56,63],[64,67],[67,68],[69,71],[72,76],[77,80],[81,86],[87,91],[92,96],[97,100],[101,104],[105,118],[119,128],[128,129],[130,132],[133,135],[136,140],[140,141],[142,144],[145,148],[149,157],[158,163],[164,167],[168,177],[178,181],[182,191],[192,199],[200,214],[215,221],[221,222]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.491899967193603} +{"basename":"brandes_naturlehre02_1831","par_idx":1994,"date":1831,"orig":"Nach Newton's Meinung uͤben alle Koͤrper auf die Lichttheilchen eine anziehende Kraft aus, und da dieſe ungleich ſtark iſt nach der Dichtigkeit und ſonſtigen Verſchiedenheit der Koͤrper, ſo muß auch die Aenderung der Richtung des Lichtſtrahls, das iſt die Brechung, verſchieden ſein.","norm":"Nach Newtons Meinung üben alle Körper auf die Lichtteilchen eine anziehende Kraft aus, und da diese ungleich stark ist nach der Dichtigkeit und sonstigen Verschiedenheit der Körper, so muss auch die Änderung der Richtung des Lichtstrahls, das ist die Brechung, verschieden sein.","orig_tok":["Nach","Newton's","Meinung","uͤben","alle","Koͤrper","auf","die","Lichttheilchen","eine","anziehende","Kraft","aus",",","und","da","dieſe","ungleich","ſtark","iſt","nach","der","Dichtigkeit","und","ſonſtigen","Verſchiedenheit","der","Koͤrper",",","ſo","muß","auch","die","Aenderung","der","Richtung","des","Lichtſtrahls",",","das","iſt","die","Brechung",",","verſchieden","ſein","."],"norm_tok":["Nach","Newtons","Meinung","üben","alle","Körper","auf","die","Lichtteilchen","eine","anziehende","Kraft","aus",",","und","da","diese","ungleich","stark","ist","nach","der","Dichtigkeit","und","sonstigen","Verschiedenheit","der","Körper",",","so","muss","auch","die","Änderung","der","Richtung","des","Lichtstrahls",",","das","ist","die","Brechung",",","verschieden","sein","."],"orig_spans":[[0,4],[5,13],[14,21],[22,27],[28,32],[33,40],[41,44],[45,48],[49,63],[64,68],[69,79],[80,85],[86,89],[89,90],[91,94],[95,97],[98,103],[104,112],[113,118],[119,122],[123,127],[128,131],[132,143],[144,147],[148,157],[158,173],[174,177],[178,185],[185,186],[187,189],[190,193],[194,198],[199,202],[203,212],[213,216],[217,225],[226,229],[230,242],[242,243],[244,247],[248,251],[252,255],[256,264],[264,265],[266,277],[278,282],[282,283]],"norm_spans":[[0,4],[5,12],[13,20],[21,25],[26,30],[31,37],[38,41],[42,45],[46,59],[60,64],[65,75],[76,81],[82,85],[85,86],[87,90],[91,93],[94,99],[100,108],[109,114],[115,118],[119,123],[124,127],[128,139],[140,143],[144,153],[154,169],[170,173],[174,180],[180,181],[182,184],[185,189],[190,194],[195,198],[199,207],[208,211],[212,220],[221,224],[225,237],[237,238],[239,242],[243,246],[247,250],[251,259],[259,260],[261,272],[273,277],[277,278]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.952899932861328} +{"basename":"brandes_naturlehre02_1831","par_idx":1995,"date":1831,"orig":"Um hier die hoͤchſt genuͤgende Reihe der Schluͤſſe Newton's zu entwickeln, muß ich auf einige Lehrſaͤtze der Mechanik zuruͤckgehen.","norm":"Um hier die höchst genügende Reihe der Schlüsse Newtons zu entwickeln, muss ich auf einige Lehrsätze der Mechanik 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+{"basename":"brandes_naturlehre02_1831","par_idx":1996,"date":1831,"orig":"So lange das Lichttheilchen in einer gleichartigen Materie fortgeht, wird es von allen Seiten gleich angezogen, es iſt daher kein Grund da, warum es von ſeiner graden Richtung abweichen ſollte.","norm":"Solange das Lichtteilchen in einer gleichartigen Materie fortgeht, wird es von allen Seiten gleich angezogen, es ist daher kein Grund da, warum es von seiner geraden Richtung abweichen 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+{"basename":"brandes_naturlehre02_1831","par_idx":1997,"date":1831,"orig":"Naͤhert ſich das Lichttheilchen einem dichteren oder das Licht mehr anziehenden Koͤrper, und iſt die Trennungsflaͤche beider Koͤrper eine Ebne, die ſich weiter als die Wirkungsſphaͤre der Koͤrpertheilchen erſtreckt, ſo uͤbt dieſer Koͤrper eine auf die Trennungsflaͤche ſenkrechte Kraft aus, weil die Anziehung ſeitwaͤrts, als nach allen Seiten gleich, ſich aufhebt.","norm":"Nähert sich das Lichtteilchen einem dichteren oder das Licht mehr anziehenden Körper, und ist die Trennungsfläche beider Körper eine Ebene, die sich weiter als die Wirkungssphäre der Körperteilchen erstreckt, so übt dieser Körper eine auf die Trennungsfläche senkrechte Kraft aus, weil die Anziehung seitwärts, als nach allen Seiten gleich, sich 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Winkel, unter welchem das Teilchen auftrifft, abhängt; und aus diesem fest begründeten Satze der Mechanik geht es als notwendige Folgerung hervor, dass der Sinus des Einfallswinkels zum Sinus des Brechungswinkels bei allen Richtungen des Strahls ein gleiches Verhältnis behalten muss, wenn die Körper, aus welchem und in welchen der Strahl übergeht, dieselben 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+{"basename":"brandes_naturlehre02_1831","par_idx":2002,"date":1831,"orig":"Dieſer Satz iſt leicht zu erweiſen.","norm":"Dieser Satz ist leicht zu erweisen.","orig_tok":["Dieſer","Satz","iſt","leicht","zu","erweiſen","."],"norm_tok":["Dieser","Satz","ist","leicht","zu","erweisen","."],"orig_spans":[[0,6],[7,11],[12,15],[16,22],[23,25],[26,34],[34,35]],"norm_spans":[[0,6],[7,11],[12,15],[16,22],[23,25],[26,34],[34,35]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.440599918365478} +{"basename":"brandes_naturlehre02_1831","par_idx":2003,"date":1831,"orig":"Offenbar naͤmlich wird der Fortgang des Lichttheilchens nach einer mit der Oberflaͤche CD parallelen Richtung durch die anziehende Kraft weder befoͤrdert noch gehindert, und wenn der Lichtſtrahl in einer beſtimmten Zeit von I nach K kam vor dem Eintritte und von K nach L nach dem Eintritte, ſo iſt IN = LM; daraus aber ergiebt ſich ſogleich, daß fuͤr KP = IK das Verhaͤltniß der Senkrechten IN, PQ immer gleich iſt fuͤr alle Einfallswinkel, weil das Verhaͤltniß der Geſchwindigkeiten IK, KL, nicht von dem Einfallswinkel abhaͤngt.","norm":"Offenbar nämlich wird der Fortgang des Lichtteilchens nach einer mit der Oberfläche CD parallelen Richtung durch die anziehende Kraft weder befördert noch gehindert, und wenn der Lichtstrahl in einer bestimmten Zeit von I nach K kam vor dem Eintritte und von K nach L nach dem Eintritte, so ist IN = LM; daraus aber ergibt sich sogleich, dass für KP = IK das Verhältnis der Senkrechten IN, PQ immer gleich ist für alle Einfallswinkel, weil das Verhältnis der Geschwindigkeiten IK, KL, nicht von dem Einfallswinkel 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+{"basename":"brandes_naturlehre02_1831","par_idx":2010,"date":1831,"orig":"An dieſe Berechnung der Brechungskraft hat ſchon Newton eine wichtige Bemerkung geknuͤpft.","norm":"An diese Berechnung der Brechungskraft hat schon Newton eine wichtige Bemerkung geknüpft.","orig_tok":["An","dieſe","Berechnung","der","Brechungskraft","hat","ſchon","Newton","eine","wichtige","Bemerkung","geknuͤpft","."],"norm_tok":["An","diese","Berechnung","der","Brechungskraft","hat","schon","Newton","eine","wichtige","Bemerkung","geknüpft","."],"orig_spans":[[0,2],[3,8],[9,19],[20,23],[24,38],[39,42],[43,48],[49,55],[56,60],[61,69],[70,79],[80,89],[89,90]],"norm_spans":[[0,2],[3,8],[9,19],[20,23],[24,38],[39,42],[43,48],[49,55],[56,60],[61,69],[70,79],[80,88],[88,89]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.900700092315674} +{"basename":"brandes_naturlehre02_1831","par_idx":2011,"date":1831,"orig":"Im Allgemeinen ſteigt, wie ſich erwarten laͤßt, die Brechungskraft mit der Dichtigkeit, ſo daß zum Beiſpiel die Dichtigkeit des Flintglaſes und Kronglaſes ſich wie 1,69 zu 1,15, die Brechungskraft, wie 1,69 zu 1,37, verhalten; die Dichtigkeit des Sapphirs zur Dichtigkeit des Kronglaſes wie 2,2 zu 1,38, die Brechungskraft 2,2 zu 1,37 iſt, u. ſ. w.; aber die brennbaren Koͤrper machen hiervon eine hoͤchſt auffallende Ausnahme, ſo daß ſie eine viel ſtaͤrkere Brechungskraft haben, als ihre Dichtigkeit zu fordern ſcheint.","norm":"Im Allgemeinen steigt, wie sich erwarten lässt, die Brechungskraft mit der Dichtigkeit, so dass zum Beispiel die Dichtigkeit des Flintglases und Kronglases sich wie 1,69 zu 1,15, die Brechungskraft, wie 1,69 zu 1,37, verhalten; die Dichtigkeit des Sapphirs zur Dichtigkeit des Kronglases wie 2,2 zu 1,38, die Brechungskraft 2,2 zu 1,37 ist, u. s. w.; aber die brennbaren Körper machen hiervon eine höchst auffallende Ausnahme, so dass sie eine viel stärkere Brechungskraft haben, als ihre Dichtigkeit zu fordern 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+{"basename":"brandes_naturlehre02_1831","par_idx":2012,"date":1831,"orig":"Der Diamant iſt nicht ſo dicht als Flintglas und hat eine dreimal ſo große Brechungskraft als dieſes; der Sapphir iſt bedeutend ſchwerer als der Diamant, und doch hat dieſer eine 2¼ mal ſo große Brechungskraft; Oliven-Oel iſt ſo leicht, daß Kronglas als 2¾ mal ſo dicht kann angegeben werden, und doch ſteht die Brechungskraft des Oliven-Oeles der des Kronglaſes nicht viel nach.","norm":"Der Diamant ist nicht so dicht als Flintglas und hat eine dreimal so große Brechungskraft als dieses; der Saphir ist bedeutend schwerer als der Diamant, und doch hat dieser eine 21 / 4 Mal so große Brechungskraft; Olivenöl ist so leicht, dass Kronglas als 23 / 4 Mal so dicht kann angegeben werden, und doch steht die Brechungskraft des Oliven-Oeles der des Kronglases nicht viel 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+{"basename":"brandes_naturlehre02_1831","par_idx":2013,"date":1831,"orig":"Indeß auch bei andern Koͤrpern haͤngt dieſe Brechungskraft nicht ſo beſtimmt von der Dichtigkeit ab, und es erhellt, daß auch hier die mannigfaltigſten Verſchiedenheiten, ungleiche Verwandtſchaften der Koͤrper zum Lichte, ſtatt finden moͤgen.","norm":"Indes auch bei anderen Körpern hängt diese Brechungskraft nicht so bestimmt von der Dichtigkeit ab, und es erhellt, dass auch hier die mannigfaltigsten Verschiedenheiten, ungleiche Verwandtschaften der Körper zum Lichte, stattfinden 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+{"basename":"brandes_naturlehre02_1831","par_idx":2014,"date":1831,"orig":"Nimmt man auf die geringe Dichtigkeit des Phosphors Ruͤckſicht, ſo ſteht er in dem Maaße ſeiner Brechungskraft noch uͤber dem Diamant, auch der Schwefel geht dieſem letztern noch voran; nach dem Diamant folgen die Oele, Harze, Campher; Waſſer und Salzſaͤure, welche Hydrogen enthalten, ſtehen vor den Sauerſtoffſaͤuren, den Glas-Arten, den Edelſteinen u. ſ. w.","norm":"Nimmt man auf die geringe Dichtigkeit des Phosphors Rücksicht, so steht er in dem Maße seiner Brechungskraft noch über dem Diamant, auch der Schwefel geht diesem letzteren noch voran; nach dem Diamant folgen die Öle, Harze, Kampfer; Wasser und Salzsäure, welche Hydrogen enthalten, stehen vor den Sauerstoffsäuren, den Glasarten, den Edelsteinen u. s. 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B. im Prisma ſich alle Gegenſtaͤnde im vollſten Glanze geſpiegelt zeigten; die Theorie fuͤhrt auf dieſen Fall als auf eine nothwendige Folgerung.","norm":"Sie erinnern sich der Umstände, wo an der Rückseite des Glases die Brechung in Zurückwerfung überging, wo z. 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AB, als bei B allmaͤhlich der mindern Anziehung der Luft unterworfen, bei C aus dem Glaſe hervordringend, bei D die ganze Wirkungsſphaͤre des Glaſes verlaſſend, und nun nach der graden Linie DE in der Luft fortgehend, zeichne.","norm":"Obgleich die Brechung so plötzlich erfolgt, dass die Krümmung des Lichtstrahls, durch welche der Übergang aus der Richtung vor der Brechung in die Richtung nach der Brechung stattfindet, ganz unmerklich ist, so wird es mir doch erlaubt sein, die unmerkliche kleine Krümmung, gleichsam stark vergrößert gesehen, so darzustellen, dass ich den aus dem Glase AFGL hervordringenden Strahl (Fig. 109.) AB, als bei B allmählich der minderen Anziehung der Luft unterworfen, bei C aus dem Glase hervordringend, bei D die ganze Wirkungssphäre des Glases verlassend, und nun nach der geraden Linie DE in der Luft fortgehend, 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Oberfläche FG näher gebracht; aber wenn der Strahl unter einer solchen Neigung wie Je sich der Oberfläche nähert, so lässt sich leicht übersehen, dass der Strahl in der Gegend K schon alle gegen die Oberfläche zu gerichtete Geschwindigkeit kann verloren haben, und dass, wenn dort seine Richtung mit FG parallel geworden ist, ehe das Lichtteilchen die Wirkungssphäre des dichteren Körpers verlassen hat, nun die anziehende Kraft des Glases das Lichtteilchen nötigen wird, eine Bahn der Jeck ganz ähnlich nach KLM zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2019,"date":1831,"orig":"Fuͤr unſre Beobachtung iſt der ganze Theil HKL der Bahn des Lichttheilchens, als ein unmittelbar an der Oberflaͤche liegender Punct anzuſehen, und der Lichtſtrahl zeigt ſich uns, als unter eben dem Winkel reflectirt, unter welchem er ankommend die Oberflaͤche erreicht hatte.","norm":"Für unsere Beobachtung ist der ganze Teil HKL der Bahn des Lichtteilchens, als ein unmittelbar an der Oberfläche liegender Punkt anzusehen, und der Lichtstrahl zeigt sich uns, als unter eben dem Winkel reflektiert, unter welchem er ankommend die Oberfläche erreicht hatte.","orig_tok":["Fuͤr","unſre","Beobachtung","iſt","der","ganze","Theil","HKL","der","Bahn","des","Lichttheilchens",",","als","ein","unmittelbar","an","der","Oberflaͤche","liegender","Punct","anzuſehen",",","und","der","Lichtſtrahl","zeigt","ſich","uns",",","als","unter","eben","dem","Winkel","reflectirt",",","unter","welchem","er","ankommend","die","Oberflaͤche","erreicht","hatte","."],"norm_tok":["Für","unsere","Beobachtung","ist","der","ganze","Teil","HKL","der","Bahn","des","Lichtteilchens",",","als","ein","unmittelbar","an","der","Oberfläche","liegender","Punkt","anzusehen",",","und","der","Lichtstrahl","zeigt","sich","uns",",","als","unter","eben","dem","Winkel","reflektiert",",","unter","welchem","er","ankommend","die","Oberfläche","erreicht","hatte","."],"orig_spans":[[0,4],[5,10],[11,22],[23,26],[27,30],[31,36],[37,42],[43,46],[47,50],[51,55],[56,59],[60,75],[75,76],[77,80],[81,84],[85,96],[97,99],[100,103],[104,115],[116,125],[126,131],[132,141],[141,142],[143,146],[147,150],[151,162],[163,168],[169,173],[174,177],[177,178],[179,182],[183,188],[189,193],[194,197],[198,204],[205,215],[215,216],[217,222],[223,230],[231,233],[234,243],[244,247],[248,259],[260,268],[269,274],[274,275]],"norm_spans":[[0,3],[4,10],[11,22],[23,26],[27,30],[31,36],[37,41],[42,45],[46,49],[50,54],[55,58],[59,73],[73,74],[75,78],[79,82],[83,94],[95,97],[98,101],[102,112],[113,122],[123,128],[129,138],[138,139],[140,143],[144,147],[148,159],[160,165],[166,170],[171,174],[174,175],[176,179],[180,185],[186,190],[191,194],[195,201],[202,213],[213,214],[215,220],[221,228],[229,231],[232,241],[242,245],[246,256],[257,265],[266,271],[271,272]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.419700145721435} +{"basename":"brandes_naturlehre02_1831","par_idx":2020,"date":1831,"orig":"Dieſe vollkommene Reflexion kann eigentlich, wenn wir die Betrachtung ſo auf eine, weit uͤber die Schaͤrfe der Sinne hinausgehende Weiſe anſtellen, in zwei verſchiedenen Faͤllen ſtatt finden, indem jener Punct K, wo der Ruͤckgang gegen das Innere des dichtern Koͤrpers anfaͤngt, entweder noch innerhalb des dichtern Koͤrpers, oder auch ſo nahe außerhalb deſſelben in K liegen kann, daß er noch in der Wirkungsſphaͤre des dichteren Koͤrpers ſich befindet.","norm":"Diese vollkommene Reflexion kann eigentlich, wenn wir die Betrachtung so auf eine, weit über die Schärfe der Sinne hinausgehende Weise anstellen, in zwei verschiedenen Fällen stattfinden, indem jener Punkt K, wo der Rückgang gegen das Innere des dichteren Körpers anfängt, entweder noch innerhalb des dichteren Körpers, oder auch so nahe außerhalb desselben in K liegen kann, dass er noch in der Wirkungssphäre des dichteren Körpers sich 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+{"basename":"brandes_naturlehre02_1831","par_idx":2021,"date":1831,"orig":"In beiden Faͤllen iſt die vollkommene Zuruͤckwerfung gleich gut vorhanden; aber nur in dem erſteren Falle laͤßt ſich die intereſſante Anwendung von dieſer Betrachtung machen, die Wollaſton davon angegeben hat, bei der ich einen Augenblick verweilen will.","norm":"In beiden Fällen ist die vollkommene Zurückwerfung gleich gut vorhanden; aber nur in dem ersteren Falle lässt sich die interessante Anwendung von dieser Betrachtung machen, die Wollaston davon angegeben hat, bei der ich einen Augenblick verweilen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2022,"date":1831,"orig":"Sie haben im Vorigen geſehen, daß wir Mittel haben, fuͤr feſte und fluͤſſige durchſichtige Koͤrper das Brechungsverhaͤltniß und folglich die Brechungskraft zu finden, und daß dieſes ſogar fuͤr ſo zerſtuͤckelte durchſichtige Koͤrper, von denen man keine erhebliche Stuͤcke erhalten kann, gelang; aber an die Beſtimmung der Brechung in undurchſichtigen Koͤrpern ſcheint es, duͤrfe man gar nicht denken; — gleichwohl bietet ſich uns hier ein Weg dazu dar.","norm":"Sie haben im Vorigen gesehen, dass wir Mittel haben, für feste und flüssige durchsichtige Körper das Brechungsverhältnis und folglich die Brechungskraft zu finden, und dass dieses sogar für so zerstückelte durchsichtige Körper, von denen man keine erhebliche Stücke erhalten kann, gelang; aber an die Bestimmung der Brechung in undurchsichtigen Körpern scheint es, dürfe man gar nicht denken; — gleichwohl bietet sich uns hier ein Weg dazu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2028,"date":1831,"orig":"Zuruͤckwerfung des Lichtes.","norm":"Zurückwerfung des Lichtes.","orig_tok":["Zuruͤckwerfung","des","Lichtes","."],"norm_tok":["Zurückwerfung","des","Lichtes","."],"orig_spans":[[0,14],[15,18],[19,26],[26,27]],"norm_spans":[[0,13],[14,17],[18,25],[25,26]],"alignment":[[0,0],[1,1],[2,2],[3,3]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.764400005340576} +{"basename":"brandes_naturlehre02_1831","par_idx":2029,"date":1831,"orig":"Ungleiche Zuſtaͤnde der Lichttheilchen.","norm":"Ungleiche Zustände der 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+{"basename":"brandes_naturlehre02_1831","par_idx":2033,"date":1831,"orig":"Daß aber jedes Hineintreffen zwiſchen die Theile der Vorderflaͤche ein Zerſtreuen der Lichtſtrahlen bewirken muͤſſe, ein Abweichen von dem genauen Geſetze der Zuruͤckwerfung an einer geometriſch vollkommenen Ebene, das iſt wohl klar genug.","norm":"Dass aber jedes Hineintreffen zwischen die Teile der Vorderfläche ein Zerstreuen der Lichtstrahlen bewirken müsse, ein Abweichen von dem genauen Gesetze der Zurückwerfung an einer geometrisch vollkommenen Ebene, das ist wohl klar 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+{"basename":"brandes_naturlehre02_1831","par_idx":2034,"date":1831,"orig":"Wahr iſt es freilich, daß ſelbſt der ſchoͤnſte Spiegel nicht alles Licht zuruͤckwirft, daß nur wenig uͤber die Haͤlfte den Geſetzen der Reflexion folgt, und alles uͤbrige alſo theils zerſtreut zuruͤckgeworfen wird, theils in den feſten Koͤrper eindringt und verlohren geht; aber es ſcheint dennoch, daß die Unvollkommenheit der Spiegelflaͤche noch groͤßere Unregelmaͤßigkeit bewirken muͤßte.","norm":"Wahr ist es freilich, dass selbst der schönste Spiegel nicht alles Licht zurückwirft, dass nur wenig über die Hälfte den Gesetzen der Reflexion folgt, und alles übrige also teils zerstreut zurückgeworfen wird, teils in den festen Körper eindringt und verloren geht; aber es scheint dennoch, dass die Unvollkommenheit der Spiegelfläche noch größere Unregelmäßigkeit bewirken 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+{"basename":"brandes_naturlehre02_1831","par_idx":2035,"date":1831,"orig":"Newton hat daher noͤthig gefunden, den Koͤrpern auch eine an ihren Oberflaͤchen wirkſame Reflexionskraft oder zuruͤckſtoßende Kraft beizulegen, und wenn man die Wirkungsſphaͤre dieſer als die Groͤße der Unebenheiten der Oberflaͤche uͤbertreffend anſieht, ſo bildet die Grenze der Wirkungsſphaͤren ABC (Fig. 110.) oder der um a, b, c, d, e, f, g, gezogenen Kreiſe eine mehr der Ebene nahe kommende Flaͤche, als die feſte Oberflaͤche afbcgde ſelbſt.","norm":"Newton hat daher nötig gefunden, den Körpern auch eine an ihren Oberflächen wirksame Reflexionskraft oder zurückstoßende Kraft beizulegen, und wenn man die Wirkungssphäre dieser als die Größe der Unebenheiten der Oberfläche übertreffend ansieht, so bildet die Grenze der Wirkungssphären ABC (Fig. 110.) oder der um a, b, c, d, e, f, g, gezogenen Kreise eine mehr der Ebene nahe kommende Fläche, als die feste Oberfläche afbcgde 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+{"basename":"brandes_naturlehre02_1831","par_idx":2038,"date":1831,"orig":"Dem letzten Einwurfe weicht Newton durch eine, hier noch nicht ganz begruͤndete, aus andern Erſcheinungen aber einen hoͤhern Grad von Wahrſcheinlichkeit erhaltende Vorausſetzung aus, indem er die Lichttheilchen als einem wechſelnden Zuſtande unterworfen anſieht, vermoͤge deſſen daſſelbe Lichttheilchen bald zu einer leichtern Zuruͤckwerfung geeignet, bald einer leichteren Durchlaſſung durch die jene zwei ungleichen Koͤrper trennende Oberflaͤche faͤhig iſt.","norm":"Dem letzten Einwurfe weicht Newton durch eine, hier noch nicht ganz begründete, aus anderen Erscheinungen aber einen höheren Grad von Wahrscheinlichkeit erhaltende Voraussetzung aus, indem er die Lichtteilchen als einem wechselnden Zustande unterworfen ansieht, vermöge dessen dasselbe Lichtteilchen bald zu einer leichteren Zurückwerfung geeignet, bald einer leichteren Durchlassung durch die jene zwei ungleichen Körper trennende Oberfläche fähig 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+{"basename":"brandes_naturlehre02_1831","par_idx":2039,"date":1831,"orig":"Die Gruͤnde, die fuͤr dieſe Abwechſelungen, fuͤr dieſe Anwandlungen, leichtern Durchgangs und leichterer Zuruͤckwerfung ſprechen, werde ich ſpaͤter anfuͤhren; hier genuͤgt es, zu bemerken, daß die Zuruͤckwerfung einiger Lichtſtrahlen, die Durchlaſſung anderer allerdings ſtatt finden kann, wenn eine ſolche ungleiche Einwirkung der Kraͤfte angenommen wird.","norm":"Die Gründe, die für diese Abwechselungen, für diese Anwandlungen, leichteren Durchgangs und leichterer Zurückwerfung sprechen, werde ich später anführen; hier genügt es, zu bemerken, dass die Zurückwerfung einiger Lichtstrahlen, die Durchlassung anderer allerdings stattfinden kann, wenn eine solche ungleiche Einwirkung der Kräfte angenommen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2041,"date":1831,"orig":"Wir wuͤrden demnach die an irgend eine Oberflaͤche antreffenden Theilchen als in allen verſchiedenen Phaſen der Anwandelungen (das heißt in allen verſchiedenen Zuſtaͤnden, welche den Uebergang von der leichteſten Zuruͤckwerfbarkeit bis zu der groͤßten Faͤhigkeit durchgelaſſen zu werden, in den andern Koͤrper einzudringen, darſtellen,) antreffend anſehen muͤſſen, und dann wuͤrden am leichteſten diejenigen Theilchen zuruͤckgeworfen werden, die ſich in dem Zuſtande der leichteſten Zuruͤckwerfung befinden; dieſe wuͤrden, ſelbſt bei ſenkrechtem Auftreffen auf die Trennungsflaͤche beider Koͤrper, ihre ganze Geſchwindigkeit durch die abſtoßende Kraft des Koͤrpers verlieren und eine neue abwaͤrts gerichtete Geſchwindigkeit erhalten, ſo daß ſie ſelbſt in dieſem Falle eine theilweiſe Zuruͤckwerfung des Strahles ergaͤben.","norm":"Wir würden demnach die an irgendeine Oberfläche antreffenden Teilchen als in allen verschiedenen Phasen der Anwandlungen (das heißt in allen verschiedenen Zuständen, welche den Übergang von der leichtesten Zurückwerfbarkeit bis zu der größten Fähigkeit durchgelassen zu werden, in den anderen Körper einzudringen, darstellen,) antreffend ansehen müssen, und dann würden am leichtesten diejenigen Teilchen zurückgeworfen werden, die sich in dem Zustande der leichtesten Zurückwerfung befinden; diese würden, selbst bei senkrechtem Auftreffen auf die Trennungsfläche beider Körper, ihre ganze Geschwindigkeit durch die abstoßende Kraft des Körpers verlieren und eine neue abwärts gerichtete Geschwindigkeit erhalten, so dass sie selbst in diesem Falle eine teilweise Zurückwerfung des Strahles 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die Richtung des Strahles mit der Richtung der Oberfläche übereinstimmt; je mehr dies der Fall ist, desto leichter wird die abstoßende Kraft diese gegen die Oberfläche senkrechte Geschwindigkeit zerstören, desto mehr werden also auch diejenigen Teilchen, die weniger leicht zurückgeworfen werden, die in einem Zustande sind, der sie weniger den abstoßenden Kräften unterworfen macht, sich mit den zurückgeworfenen vereinigen, und es wird das eintreten, was sehr bekannte Erfahrungen lehren, dass bei schief einfallenden Strahlen die durch Spiegelung zurückgehenden Strahlen immer zahlreicher 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also deren gegen diese Ebene gerichtete Geschwindigkeit leicht völlig zu zerstören ist, dennoch immer einige Teilchen in den dichteren Körper eindringen; wäre in Beziehung auf diese die abstoßende Kraft die zuerst oder bis zu größeren Fernen einwirkende, so würden sie gar nicht in den Wirkungskreis der anziehenden Kräfte 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in den meisten Fällen ganz verschwindet; indes macht Brewster die Bemerkung, dass dieses gänzliche Verschwinden der zurückgeworfenen Strahlen, wenigstens in einigen Fälle, wo doch die Brechung vollkommen aufhörte, oder wo die anziehenden Kräfte sich als völlig gleich bei beiden Körpern zeigten, nicht im strengsten Sinne 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Farbe geben, wirkt.","norm":"Die verschiedene Brechbarkeit der einzelnen Farbenstrahlen erklärt sich hier aus der ungleichen Gewalt, mit welcher die anziehende Kraft der Körper auf die verschiedenen Lichtteilchen, die unserem Auge den Eindruck einer verschiedenen Farbe geben, wirkt.","orig_tok":["Die","verſchiedene","Brechbarkeit","der","einzelnen","Farbenſtrahlen","erklaͤrt","ſich","hier","aus","der","ungleichen","Gewalt",",","mit","welcher","die","anziehende","Kraft","der","Koͤrper","auf","die","verſchiedenen","Lichttheilchen",",","die","unſerm","Auge","den","Eindruck","einer","verſchiedenen","Farbe","geben",",","wirkt","."],"norm_tok":["Die","verschiedene","Brechbarkeit","der","einzelnen","Farbenstrahlen","erklärt","sich","hier","aus","der","ungleichen","Gewalt",",","mit","welcher","die","anziehende","Kraft","der","Körper","auf","die","verschiedenen","Lichtteilchen",",","die","unserem","Auge","den","Eindruck","einer","verschiedenen","Farbe","geben",",","wirkt","."],"orig_spans":[[0,3],[4,16],[17,29],[30,33],[34,43],[44,58],[59,67],[68,72],[73,77],[78,81],[82,85],[86,96],[97,103],[103,104],[105,108],[109,116],[117,120],[121,131],[132,137],[138,141],[142,149],[150,153],[154,157],[158,171],[172,186],[186,187],[188,191],[192,198],[199,203],[204,207],[208,216],[217,222],[223,236],[237,242],[243,248],[248,249],[250,255],[255,256]],"norm_spans":[[0,3],[4,16],[17,29],[30,33],[34,43],[44,58],[59,66],[67,71],[72,76],[77,80],[81,84],[85,95],[96,102],[102,103],[104,107],[108,115],[116,119],[120,130],[131,136],[137,140],[141,147],[148,151],[152,155],[156,169],[170,183],[183,184],[185,188],[189,196],[197,201],[202,205],[206,214],[215,220],[221,234],[235,240],[241,246],[246,247],[248,253],[253,254]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.136099815368652} 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des Blau, Grün, Gelb, Orange, Rot geben, sind, je näher sie dem Rot stehen, desto weniger einer starken Anziehung unterworfen, und da es eine Abstufung, eine stetige Folge dieser Teilchen gibt, so breitet der Strahl sich in die stetige Folge ungleich gebrochener Strahlen aus, die wir durch die Versuche kennen 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Farbenbildes, sondern es finden die Ungleichheiten in der Farbenzerstreuung statt, die ich schon früher erwähnt habe.","orig_tok":["Die","Verwandtſchaft","der","einzelnen","Koͤrper","gegen","die","eine","und","gegen","die","andre","Art","der","Lichttheilchen","iſt","nicht","in","uͤbereinſtimmendem","Maaße","ungleich",",","daher","iſt","die","Farbenzerſtreuung",",","ſelbſt","bei","gleicher","Brechung","der","mittleren","Farbenſtrahlen",",","bei","verſchiedenen","Koͤrpern","ungleich",",","daher","iſt","nicht","in","jedem","prismatiſchen","Farbenbilde","die","Ausdehnung","einer","beſtimmten","Farbe","gleich","im","Verhaͤltniß","des","ganzen","Farbenbildes",",","ſondern","es","finden","die","Ungleichheiten","in","der","Farbenzerſtreuung","ſtatt",",","die","ich","ſchon","fruͤher","erwaͤhnt","habe","."],"norm_tok":["Die","Verwandtschaft","der","einzelnen","Körper","gegen","die","eine","und","gegen","die","andere","Art","der","Lichtteilchen","ist","nicht","in","übereinstimmendem","Maße","ungleich",",","daher","ist","die","Farbenzerstreuung",",","selbst","bei","gleicher","Brechung","der","mittleren","Farbenstrahlen",",","bei","verschiedenen","Körpern","ungleich",",","daher","ist","nicht","in","jedem","prismatischen","Farbenbilde","die","Ausdehnung","einer","bestimmten","Farbe","gleich","im","Verhältnis","des","ganzen","Farbenbildes",",","sondern","es","finden","die","Ungleichheiten","in","der","Farbenzerstreuung","statt",",","die","ich","schon","früher","erwähnt","habe","."],"orig_spans":[[0,3],[4,18],[19,22],[23,32],[33,40],[41,46],[47,50],[51,55],[56,59],[60,65],[66,69],[70,75],[76,79],[80,83],[84,98],[99,102],[103,108],[109,111],[112,130],[131,136],[137,145],[145,146],[147,152],[153,156],[157,160],[161,178],[178,179],[180,186],[187,190],[191,199],[200,208],[209,212],[213,222],[223,237],[237,238],[239,242],[243,256],[257,265],[266,274],[274,275],[276,281],[282,285],[286,291],[292,294],[295,300],[301,314],[315,326],[327,330],[331,341],[342,347],[348,358],[359,364],[365,371],[372,374],[375,386],[387,390],[391,397],[398,410],[410,411],[412,419],[420,422],[423,429],[430,433],[434,448],[449,451],[452,455],[456,473],[474,479],[479,480],[481,484],[485,488],[489,494],[495,502],[503,511],[512,516],[516,517]],"norm_spans":[[0,3],[4,18],[19,22],[23,32],[33,39],[40,45],[46,49],[50,54],[55,58],[59,64],[65,68],[69,75],[76,79],[80,83],[84,97],[98,101],[102,107],[108,110],[111,128],[129,133],[134,142],[142,143],[144,149],[150,153],[154,157],[158,175],[175,176],[177,183],[184,187],[188,196],[197,205],[206,209],[210,219],[220,234],[234,235],[236,239],[240,253],[254,261],[262,270],[270,271],[272,277],[278,281],[282,287],[288,290],[291,296],[297,310],[311,322],[323,326],[327,337],[338,343],[344,354],[355,360],[361,367],[368,370],[371,381],[382,385],[386,392],[393,405],[405,406],[407,414],[415,417],[418,424],[425,428],[429,443],[444,446],[447,450],[451,468],[469,474],[474,475],[476,479],[480,483],[484,489],[490,496],[497,504],[505,509],[509,510]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.029200077056885} +{"basename":"brandes_naturlehre02_1831","par_idx":2051,"date":1831,"orig":"Bei der Zuruͤckwerfung findet keine Farbenzerſtreuung ſtatt.","norm":"Bei der Zurückwerfung findet keine Farbenzerstreuung statt.","orig_tok":["Bei","der","Zuruͤckwerfung","findet","keine","Farbenzerſtreuung","ſtatt","."],"norm_tok":["Bei","der","Zurückwerfung","findet","keine","Farbenzerstreuung","statt","."],"orig_spans":[[0,3],[4,7],[8,22],[23,29],[30,35],[36,53],[54,59],[59,60]],"norm_spans":[[0,3],[4,7],[8,21],[22,28],[29,34],[35,52],[53,58],[58,59]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.816800117492676} +{"basename":"brandes_naturlehre02_1831","par_idx":2052,"date":1831,"orig":"Denn obgleich es wohl nicht zu bezweifeln iſt, daß wegen eben dieſer ungleichen Einwirkung der anziehenden und abſtoßenden Kraͤfte auf die verſchiedenartigen Lichttheilchen, der Weg der zuruͤckgeworfenen violetten Theilchen ein andrer, als der Weg des rothen Lichtes iſt, ſo ſind dieſe Wege doch nur in dem unmerklich kleinen Raume, ſo weit die Wirkungsſphaͤre jener Kraͤfte ſich erſtreckt, etwa ſo wie CDE, CdE, (Fig. 111.) verſchieden, und nach vollendeter Einwirkung iſt fuͤr die einen wie fuͤr die andern, die Neigung des zuruͤckgeworfenen Strahles ſo groß, wie fuͤr den einfallenden Strahl, und alle Farbenſtrahlen gehen parallel fort, vereinigen ihre Wirkung auf unſer Auge und ſtellen uns alſo ein Weiß dar.","norm":"Denn obgleich es wohl nicht zu bezweifeln ist, dass wegen eben dieser ungleichen Einwirkung der anziehenden und abstoßenden Kräfte auf die verschiedenartigen Lichtteilchen, der Weg der zurückgeworfenen violetten Teilchen ein anderer, als der Weg des roten Lichtes ist, so sind diese Wege doch nur in dem unmerklich kleinen Raume, so weit die Wirkungssphäre jener Kräfte sich erstreckt, etwa so wie CDE, CdE, (Fig. 111.) verschieden, und nach vollendeter Einwirkung ist für die einen wie für die anderen, die Neigung des zurückgeworfenen Strahles so groß, wie für den einfallenden Strahl, und alle Farbenstrahlen gehen parallel fort, vereinigen ihre Wirkung auf unser Auge und stellen uns also ein Weiß 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+{"basename":"brandes_naturlehre02_1831","par_idx":2069,"date":1831,"orig":"Sie erinnern ſich naͤmlich, daß wir ſchon bei der Fortpflanzung des Schalles die Folgerung theoretiſch begruͤndet fanden, daß die Geſchwindigkeit des Schalles in irgend einer Luft-Art deſto groͤßer ſei, je groͤßer die Elaſticitaͤt dieſer Luft-Art in Vergleichung gegen ihre Dichtigkeit iſt; und die ſo ſehr große Geſchwindigkeit des Lichtes kann daher nur aus einem noch viel hoͤhern Grade von Elaſticitaͤt des Aethers hervorgehen.","norm":"Sie erinnern sich nämlich, dass wir schon bei der Fortpflanzung des Schalles die Folgerung theoretisch begründet fanden, dass die Geschwindigkeit des Schalles in irgendeiner Luftart desto größer sei, je größer die Elastizität dieser Luftart in Vergleichung gegen ihre Dichtigkeit ist; und die so sehr große Geschwindigkeit des Lichtes kann daher nur aus einem noch viel höheren Grade von Elastizität des Äthers 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für jede stärkere oder schwächere Lichterscheinung und für alle Farbenstrahlen als gleich anzusehen, die Verschiedenheit der Farben aber erklärt sich durch die mit mehr oder minderer Schnelligkeit aufeinander folgenden 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1/3 Fuß beilegen und so 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+{"basename":"brandes_naturlehre02_1831","par_idx":2074,"date":1831,"orig":"Ebenſo koͤnnten wir alſo auch hier von der Wellenlaͤnge der Lichtwellen reden, wenn es uns gelingen ſollte, dieſe naͤher zu beſtimmen; und ſo wie dort jedem Tone eine eigene Wellenlaͤnge zukoͤmmt, ſo nehmen wir hier fuͤr jeden Farbenſtrahl eine eigene Wellenlaͤnge an.","norm":"Ebenso könnten wir also auch hier von der Wellenlänge der Lichtwellen reden, wenn es uns gelingen sollte, diese näher zu bestimmen; und so wie dort jedem Tone eine eigene Wellenlänge zukommt, so nehmen wir hier für jeden Farbenstrahl eine eigene Wellenlänge 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+{"basename":"brandes_naturlehre02_1831","par_idx":2075,"date":1831,"orig":"Geſetze der gradlinigen Fortpflanzung des Lichtes.","norm":"Gesetze der gradlinigen Fortpflanzung des Lichtes.","orig_tok":["Geſetze","der","gradlinigen","Fortpflanzung","des","Lichtes","."],"norm_tok":["Gesetze","der","gradlinigen","Fortpflanzung","des","Lichtes","."],"orig_spans":[[0,7],[8,11],[12,23],[24,37],[38,41],[42,49],[49,50]],"norm_spans":[[0,7],[8,11],[12,23],[24,37],[38,41],[42,49],[49,50]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.06059980392456} +{"basename":"brandes_naturlehre02_1831","par_idx":2076,"date":1831,"orig":"Unerklaͤrbarkeit der Aberration.","norm":"Unerklärbarkeit der 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+{"basename":"brandes_naturlehre02_1831","par_idx":2078,"date":1831,"orig":"Wird die Lichtwelle nur durch eine kleine Oeffnung AB eingelaſſen (Fig. 112.), ſo geht ſie ſo wie die Kreiſe anzeigen fort, und die Erleuchtung findet nur da ſtatt, wohin die vom leuchtenden Puncte C durch die Oeffnung gezogenen Linien gelangen koͤnnen, das iſt, die Lichtſtrahlen CAE, CBF, und ſo alle andere, gehen in graden Linien fort.","norm":"Wird die Lichtwelle nur durch eine kleine Öffnung AB eingelassen (Fig. 112.), so geht sie so wie die Kreise anzeigen fort, und die Erleuchtung findet nur da statt, wohin die vom leuchtenden Punkte C durch die Öffnung gezogenen Linien gelangen können, das ist, die Lichtstrahlen CAE, CBF, und so alle andere, gehen in geraden Linien 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in der Folge noch sorgfältiger in Erwägung ziehen werde, seine Kraft 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welchem wir hier das Licht vergleichen, wird nach eben den Geſetzen ſchwaͤcher, wie die Erleuchtung; und die Theorie zeigt, daß die Erſchuͤtterung der einzelnen Theilchen in den kugelfoͤrmigen Wellenſchichten ſo abnimmt, daß die durch dieſe Erſchuͤtterung hervorgebrachte Wirkung (und dieſe eben zeigt ſich uns als Erleuchtung) dem Quadrate der Abſtaͤnde umgekehrt proportional iſt.","norm":"Der Schall, mit welchem wir hier das Licht vergleichen, wird nach eben den Gesetzen schwächer, wie die Erleuchtung; und die Theorie zeigt, dass die Erschütterung der einzelnen Teilchen in den kugelförmigen Wellenschichten so abnimmt, dass die durch diese Erschütterung hervorgebrachte Wirkung (und diese eben zeigt sich uns als Erleuchtung) dem Quadrate der Abstände umgekehrt proportional 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+{"basename":"brandes_naturlehre02_1831","par_idx":2083,"date":1831,"orig":"So ſcheinen alſo die Geſetze der gradlinigen Fortpflanzung des Lichtes ſehr vollkommen dieſer Undulationstheorie zu entſprechen.","norm":"So scheinen also die Gesetze der gradlinigen Fortpflanzung des Lichtes sehr vollkommen dieser Undulationstheorie zu 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die Aberration des Lichtes laͤßt ſich, ſelbſt nach Fresnel's Geſtaͤndniſſe, der zu den eifrigſten Vertheidigern der Undulationstheorie gehoͤrt, nicht wohl erklaͤren.","norm":"Aber die Aberration des Lichtes lässt sich, selbst nach Fresnels Geständnisse, der zu den eifrigsten Verteidigern der Undulationstheorie gehört, nicht wohl 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Lichtſtrahlen, ſo iſt es vollkommen leicht begreiflich, daß die an dieſe Oberflaͤche antreffenden Lichtwellen eine wegen der Ungleichheit der Oberflaͤche unregelmaͤßige Zuruͤckwerfung erleiden, daß alſo von jedem Puncte, den die Lichtwelle trifft, neue Lichtwellen nach allen Richtungen ausgehen, und ſo der erleuchtete Koͤrper ſich als ein Licht ausſendender zeigt.","norm":"Sehen wir zuerst auf die unregelmäßig von der Oberfläche der Körper zurückgeworfenen Lichtstrahlen, so ist es vollkommen leicht begreiflich, dass die an diese Oberfläche antreffenden Lichtwellen eine wegen der Ungleichheit der Oberfläche unregelmäßige Zurückwerfung erleiden, dass also von jedem Punkte, den die Lichtwelle trifft, neue Lichtwellen nach allen Richtungen ausgehen, und so der erleuchtete Körper sich als ein Licht aussendender 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würde man den Unterschied, dass bei einigen Körpern die übrigen Wellen an der Oberfläche zurückgeworfen werden, bei anderen Körpern die übrigen Wellen im Inneren völlig unwirksam werden, zugestehen müssen; jene nämlich wären die, welche bei der Zurückwerfung des Lichtes die Ergänzungsfarbe zu der Farbe des durchgelassenen Lichtes zeigen, diese hingegen zeigen unter beiden Umständen einerlei 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+{"basename":"brandes_naturlehre02_1831","par_idx":2130,"date":1831,"orig":"Dieſe Wellen treffen an die Grenzflaͤche eines Koͤrpers an, in welchem ſie, wenn wir das Glas als Beiſpiel nehmen, nur zwei Drittel ihrer vorigen Schnelligkeit behalten, und die in A antreffende Welle hat ſich daher innerhalb nur bis R fortgepflanzt, waͤhrend ſie außerhalb bis CD gelangt iſt, ſie hat ſich nur bis S oder T fortgepflanzt, waͤhrend ſie außerhalb bis EF oder GH gelangt iſt, und es laͤßt ſich daher leicht uͤberſehen, daß RC, SE, TG die im Innern fortgehenden Wellen darſtellen.","norm":"Diese Wellen treffen an die Grenzfläche eines Körpers an, in welchem sie, wenn wir das Glas als Beispiel nehmen, nur zwei Drittel ihrer vorigen Schnelligkeit behalten, und die in A antreffende Welle hat sich daher innerhalb nur bis R fortgepflanzt, während sie außerhalb bis CD gelangt ist, sie hat sich nur bis S oder T fortgepflanzt, während sie außerhalb bis EF oder GH gelangt ist, und es lässt sich daher leicht übersehen, dass RC, SE, TG die im Inneren fortgehenden Wellen 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ist.","orig_tok":["Da","wir","nun","unter","der","Richtung","des","Lichtſtrahles","die","auf","die","Wellenzuͤge","ſenkrechte","Richtung",",","oder","diejenige",",","nach","welcher","die","Wellen","fortruͤcken",",","verſtehen",",","ſo","iſt","UA","die","Richtung","des","einfallenden",",","AV","die","Richtung","des","gebrochenen","Strahles",";","und","es","iſt","VW","=","⅔","UX",",","wenn","AU","=","AV","und","AT","=","⅔","GZ","iſt","."],"norm_tok":["Da","wir","nun","unter","der","Richtung","des","Lichtstrahles","die","auf","die","Wellenzüge","senkrechte","Richtung",",","oder","diejenige",",","nach","welcher","die","Wellen","fortrücken",",","verstehen",",","so","ist","UA","die","Richtung","des","einfallenden",",","AV","die","Richtung","des","gebrochenen","Strahles",";","und","es","ist","VW","=","⅔","UX",",","wenn","AU","=","AV","und","AT","="," ","2","/","3"," 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+{"basename":"brandes_naturlehre02_1831","par_idx":2132,"date":1831,"orig":"Alſo wenn die Beſchaffenheit des zweiten Koͤrpers es mit ſich bringt, daß die Geſchwindigkeit des Lichtes auf zwei Drittel vermindert wird, ſo iſt der Sinus des gebrochenen Winkels gleich zwei Dritteln vom Sinus des Einfallswinkels, und das Geſetz der Brechung, daß dieſes Brechungsverhaͤltniß gleich bleibt bei allen Einfallswinkeln, iſt eine Folgerung, die aus den Geſetzen der Undulationstheorie hervorgeht.","norm":"Also wenn die Beschaffenheit des zweiten Körpers es mit sich bringt, dass die Geschwindigkeit des Lichtes auf zwei Drittel vermindert wird, so ist der Sinus des gebrochenen Winkels gleich zwei Dritteln vom Sinus des Einfallswinkels, und das Gesetz der Brechung, dass dieses Brechungsverhältnis gleich bleibt bei allen Einfallswinkeln, ist eine Folgerung, die aus den Gesetzen der Undulationstheorie hervorgeht.","orig_tok":["Alſo","wenn","die","Beſchaffenheit","des","zweiten","Koͤrpers","es","mit","ſich","bringt",",","daß","die","Geſchwindigkeit","des","Lichtes","auf","zwei","Drittel","vermindert","wird",",","ſo","iſt","der","Sinus","des","gebrochenen","Winkels","gleich","zwei","Dritteln","vom","Sinus","des","Einfallswinkels",",","und","das","Geſetz","der","Brechung",",","daß","dieſes","Brechungsverhaͤltniß","gleich","bleibt","bei","allen","Einfallswinkeln",",","iſt","eine","Folgerung",",","die","aus","den","Geſetzen","der","Undulationstheorie","hervorgeht","."],"norm_tok":["Also","wenn","die","Beschaffenheit","des","zweiten","Körpers","es","mit","sich","bringt",",","dass","die","Geschwindigkeit","des","Lichtes","auf","zwei","Drittel","vermindert","wird",",","so","ist","der","Sinus","des","gebrochenen","Winkels","gleich","zwei","Dritteln","vom","Sinus","des","Einfallswinkels",",","und","das","Gesetz","der","Brechung",",","dass","dieses","Brechungsverhältnis","gleich","bleibt","bei","allen","Einfallswinkeln",",","ist","eine","Folgerung",",","die","aus","den","Gesetzen","der","Undulationstheorie","hervorgeht","."],"orig_spans":[[0,4],[5,9],[10,13],[14,28],[29,32],[33,40],[41,49],[50,52],[53,56],[57,61],[62,68],[68,69],[70,73],[74,77],[78,93],[94,97],[98,105],[106,109],[110,114],[115,122],[123,133],[134,138],[138,139],[140,142],[143,146],[147,150],[151,156],[157,160],[161,172],[173,180],[181,187],[188,192],[193,201],[202,205],[206,211],[212,215],[216,231],[231,232],[233,236],[237,240],[241,247],[248,251],[252,260],[260,261],[262,265],[266,272],[273,293],[294,300],[301,307],[308,311],[312,317],[318,333],[333,334],[335,338],[339,343],[344,353],[353,354],[355,358],[359,362],[363,366],[367,375],[376,379],[380,398],[399,409],[409,410]],"norm_spans":[[0,4],[5,9],[10,13],[14,28],[29,32],[33,40],[41,48],[49,51],[52,55],[56,60],[61,67],[67,68],[69,73],[74,77],[78,93],[94,97],[98,105],[106,109],[110,114],[115,122],[123,133],[134,138],[138,139],[140,142],[143,146],[147,150],[151,156],[157,160],[161,172],[173,180],[181,187],[188,192],[193,201],[202,205],[206,211],[212,215],[216,231],[231,232],[233,236],[237,240],[241,247],[248,251],[252,260],[260,261],[262,266],[267,273],[274,293],[294,300],[301,307],[308,311],[312,317],[318,333],[333,334],[335,338],[339,343],[344,353],[353,354],[355,358],[359,362],[363,366],[367,375],[376,379],[380,398],[399,409],[409,410]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.244899988174438} +{"basename":"brandes_naturlehre02_1831","par_idx":2133,"date":1831,"orig":"Eine Schwierigkeit ſcheint dagegen die Undulationstheorie in Beziehung auf die vollkommene Zuruͤckwerfung des Lichtſtrahles an der Hinterflaͤche eines dichteren, das Licht ſtaͤrker brechenden Koͤrpers darzubieten.","norm":"Eine Schwierigkeit scheint dagegen die Undulationstheorie in Beziehung auf die vollkommene Zurückwerfung des Lichtstrahles an der Hinterfläche eines dichteren, das Licht stärker brechenden Körpers darzubieten.","orig_tok":["Eine","Schwierigkeit","ſcheint","dagegen","die","Undulationstheorie","in","Beziehung","auf","die","vollkommene","Zuruͤckwerfung","des","Lichtſtrahles","an","der","Hinterflaͤche","eines","dichteren",",","das","Licht","ſtaͤrker","brechenden","Koͤrpers","darzubieten","."],"norm_tok":["Eine","Schwierigkeit","scheint","dagegen","die","Undulationstheorie","in","Beziehung","auf","die","vollkommene","Zurückwerfung","des","Lichtstrahles","an","der","Hinterfläche","eines","dichteren",",","das","Licht","stärker","brechenden","Körpers","darzubieten","."],"orig_spans":[[0,4],[5,18],[19,26],[27,34],[35,38],[39,57],[58,60],[61,70],[71,74],[75,78],[79,90],[91,105],[106,109],[110,123],[124,126],[127,130],[131,144],[145,150],[151,160],[160,161],[162,165],[166,171],[172,180],[181,191],[192,200],[201,212],[212,213]],"norm_spans":[[0,4],[5,18],[19,26],[27,34],[35,38],[39,57],[58,60],[61,70],[71,74],[75,78],[79,90],[91,104],[105,108],[109,122],[123,125],[126,129],[130,142],[143,148],[149,158],[158,159],[160,163],[164,169],[170,177],[178,188],[189,196],[197,208],[208,209]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.745699882507324} +{"basename":"brandes_naturlehre02_1831","par_idx":2134,"date":1831,"orig":"Sie wiſſen, daß dieſe da entſteht, wo gar kein Theil des Lichtſtrahles hervordringend in den minder dichten Koͤrper uͤbergeht, und es ſcheint nicht wohl moͤglich, anzunehmen, daß die Undulationen ſich hier durchaus nicht in jene minder dichten Aetherſchichten hinuͤber fortpflanzen ſollten.","norm":"Sie wissen, dass diese da entsteht, wo gar kein Teil des Lichtstrahles hervordringend in den minder dichten Körper übergeht, und es scheint nicht wohl möglich, anzunehmen, dass die Undulationen sich hier durchaus nicht in jene minder dichten Ätherschichten hinüber fortpflanzen 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nun bietet ſich eine wichtige Schwierigkeit dar, zu deren Wegraͤumung die Undulationstheorie kein Mittel anzugeben ſcheint.","norm":"Aber nun bietet sich eine wichtige Schwierigkeit dar, zu deren Wegräumung die Undulationstheorie kein Mittel anzugeben 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+{"basename":"brandes_naturlehre02_1831","par_idx":2140,"date":1831,"orig":"Es erhellt naͤmlich aus den eben durchgefuͤhrten Betrachtungen, daß die Groͤße der Brechung ganz allein von der Schnelligkeit der Fortpflanzung der Lichtwellen in den an einander grenzenden Materien abhaͤngt, dieſe Schnelligkeit aber durch die Dichtigkeit des Aethers beſtimmt iſt; da nun doch gewiß keine verſchiedene Aether-Arten in einem und demſelben Raume angenommen werden koͤnnen, ſo muͤſſen auch in dem zweiten Koͤrper alle Lichtwellen eine gleiche Geſchwindigkeit und folglich auch eine gleiche Brechung haben; eine Zerſtreuung der Farbenſtrahlen, eine ungleiche Brechbarkeit des verſchiedenfarbigen Lichtes ſcheint nicht ſtatt finden zu koͤnnen.","norm":"Es erhellt nämlich aus den eben durchgeführten Betrachtungen, dass die Größe der Brechung ganz allein von der Schnelligkeit der Fortpflanzung der Lichtwellen in den aneinander grenzenden Materien abhängt, diese Schnelligkeit aber durch die Dichtigkeit des Äthers bestimmt ist; da nun doch gewiss keine verschiedene Ätherarten in einem und demselben Raume angenommen werden können, so müssen auch in dem zweiten Körper alle Lichtwellen eine gleiche Geschwindigkeit und folglich auch eine gleiche Brechung haben; eine Zerstreuung der Farbenstrahlen, eine ungleiche Brechbarkeit des verschiedenfarbigen Lichtes scheint nicht stattfinden zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2141,"date":1831,"orig":"Da gleichwohl die Erfahrung dieſe ungleiche Brechung zeigt, ſo muͤſſen wir etwas genauer die Verſchiedenheit der Umſtaͤnde bei den verſchiedenen Farben erwaͤgen, um zu ſehen, wo etwa eine Erklaͤrung dieſer Erſcheinung im Sinne der Undulationstheorie geſucht werden koͤnnte.","norm":"Da gleichwohl die Erfahrung diese ungleiche Brechung zeigt, so müssen wir etwas genauer die Verschiedenheit der Umstände bei den verschiedenen Farben erwägen, um zu sehen, wo etwa eine Erklärung dieser Erscheinung im Sinne der Undulationstheorie gesucht werden könnte.","orig_tok":["Da","gleichwohl","die","Erfahrung","dieſe","ungleiche","Brechung","zeigt",",","ſo","muͤſſen","wir","etwas","genauer","die","Verſchiedenheit","der","Umſtaͤnde","bei","den","verſchiedenen","Farben","erwaͤgen",",","um","zu","ſehen",",","wo","etwa","eine","Erklaͤrung","dieſer","Erſcheinung","im","Sinne","der","Undulationstheorie","geſucht","werden","koͤnnte","."],"norm_tok":["Da","gleichwohl","die","Erfahrung","diese","ungleiche","Brechung","zeigt",",","so","müssen","wir","etwas","genauer","die","Verschiedenheit","der","Umstände","bei","den","verschiedenen","Farben","erwägen",",","um","zu","sehen",",","wo","etwa","eine","Erklärung","dieser","Erscheinung","im","Sinne","der","Undulationstheorie","gesucht","werden","könnte","."],"orig_spans":[[0,2],[3,13],[14,17],[18,27],[28,33],[34,43],[44,52],[53,58],[58,59],[60,62],[63,70],[71,74],[75,80],[81,88],[89,92],[93,108],[109,112],[113,122],[123,126],[127,130],[131,144],[145,151],[152,160],[160,161],[162,164],[165,167],[168,173],[173,174],[175,177],[178,182],[183,187],[188,198],[199,205],[206,217],[218,220],[221,226],[227,230],[231,249],[250,257],[258,264],[265,272],[272,273]],"norm_spans":[[0,2],[3,13],[14,17],[18,27],[28,33],[34,43],[44,52],[53,58],[58,59],[60,62],[63,69],[70,73],[74,79],[80,87],[88,91],[92,107],[108,111],[112,120],[121,124],[125,128],[129,142],[143,149],[150,157],[157,158],[159,161],[162,164],[165,170],[170,171],[172,174],[175,179],[180,184],[185,194],[195,201],[202,213],[214,216],[217,222],[223,226],[227,245],[246,253],[254,260],[261,267],[267,268]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.4079999923706055} +{"basename":"brandes_naturlehre02_1831","par_idx":2142,"date":1831,"orig":"Nach dieſer Theorie iſt die Fortpflanzungsgeſchwindigkeit fuͤr alle Farben gleich, aber da die Wellen des violetten Lichtes ſchneller auf einander folgen, einen geringern Zwiſchenraum zwiſchen den in gleichem Zuſtande befindlichen Theilchen darbieten, ſo muͤßte die Theorie einen Grund angeben, warum dieſe kuͤrzeren Wellen mehr gebrochen werden.","norm":"Nach dieser Theorie ist die Fortpflanzungsgeschwindigkeit für alle Farben gleich, aber da die Wellen des violetten Lichtes schneller aufeinander folgen, einen geringeren Zwischenraum zwischen den in gleichem Zustande befindlichen Teilchen darbieten, so müsste die Theorie einen Grund angeben, warum diese kürzeren Wellen mehr gebrochen werden.","orig_tok":["Nach","dieſer","Theorie","iſt","die","Fortpflanzungsgeſchwindigkeit","fuͤr","alle","Farben","gleich",",","aber","da","die","Wellen","des","violetten","Lichtes","ſchneller","auf","einander","folgen",",","einen","geringern","Zwiſchenraum","zwiſchen","den","in","gleichem","Zuſtande","befindlichen","Theilchen","darbieten",",","ſo","muͤßte","die","Theorie","einen","Grund","angeben",",","warum","dieſe","kuͤrzeren","Wellen","mehr","gebrochen","werden","."],"norm_tok":["Nach","dieser","Theorie","ist","die","Fortpflanzungsgeschwindigkeit","für","alle","Farben","gleich",",","aber","da","die","Wellen","des","violetten","Lichtes","schneller","aufeinander","folgen",",","einen","geringeren","Zwischenraum","zwischen","den","in","gleichem","Zustande","befindlichen","Teilchen","darbieten",",","so","müsste","die","Theorie","einen","Grund","angeben",",","warum","diese","kürzeren","Wellen","mehr","gebrochen","werden","."],"orig_spans":[[0,4],[5,11],[12,19],[20,23],[24,27],[28,57],[58,62],[63,67],[68,74],[75,81],[81,82],[83,87],[88,90],[91,94],[95,101],[102,105],[106,115],[116,123],[124,133],[134,137],[138,146],[147,153],[153,154],[155,160],[161,170],[171,183],[184,192],[193,196],[197,199],[200,208],[209,217],[218,230],[231,240],[241,250],[250,251],[252,254],[255,261],[262,265],[266,273],[274,279],[280,285],[286,293],[293,294],[295,300],[301,306],[307,316],[317,323],[324,328],[329,338],[339,345],[345,346]],"norm_spans":[[0,4],[5,11],[12,19],[20,23],[24,27],[28,57],[58,61],[62,66],[67,73],[74,80],[80,81],[82,86],[87,89],[90,93],[94,100],[101,104],[105,114],[115,122],[123,132],[133,144],[145,151],[151,152],[153,158],[159,169],[170,182],[183,191],[192,195],[196,198],[199,207],[208,216],[217,229],[230,238],[239,248],[248,249],[250,252],[253,259],[260,263],[264,271],[272,277],[278,283],[284,291],[291,292],[293,298],[299,304],[305,313],[314,320],[321,325],[326,335],[336,342],[342,343]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,19],[21,20],[22,21],[23,22],[24,23],[25,24],[26,25],[27,26],[28,27],[29,28],[30,29],[31,30],[32,31],[33,32],[34,33],[35,34],[36,35],[37,36],[38,37],[39,38],[40,39],[41,40],[42,41],[43,42],[44,43],[45,44],[46,45],[47,46],[48,47],[49,48],[50,49]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.1774001121521} +{"basename":"brandes_naturlehre02_1831","par_idx":2143,"date":1831,"orig":"Euler hatte die Meinung geaͤußert, dies ſei deswegen der Fall, weil jede folgende mehr als bei laͤngern Wellen auf die Bewegung der Theilchen einwirke; aber Poiſſon macht die richtige Bemerkung, daß dieſe Einwirkung in einer verminderten Abnahme der Geſchwindigkeit beſtehen muͤßte, daß naͤmlich die violetten Strahlen ſich nach dem Eintritte in den dichteren Koͤrper ſchneller als die rothen bewegen, eben darum alſo auch jene weniger, dieſe mehr gebrochen werden muͤßten, welches grade das Gegentheil deſſen iſt, was wir aus Erfahrung wiſſen.","norm":"Euler hatte die Meinung geäußert, dies sei deswegen der Fall, weil jede folgende mehr als bei längeren Wellen auf die Bewegung der Teilchen einwirke; aber Poisson macht die richtige Bemerkung, dass diese Einwirkung in einer verminderten Abnahme der Geschwindigkeit bestehen müsste, dass nämlich die violetten Strahlen sich nach dem Eintritte in den dichteren Körper schneller als die roten bewegen, eben darum also auch jene weniger, diese mehr gebrochen werden müssten, welches gerade das Gegenteil dessen ist, was wir aus Erfahrung 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+{"basename":"brandes_naturlehre02_1831","par_idx":2144,"date":1831,"orig":"Poiſſon, der unter den Vertheidigern der Undulationstheorie am allerſtrengſten ſich an die ſicher begruͤndeten theoretiſchen Schluͤſſe gehalten hat, geſteht, daß bis jetzt dieſe Schwierigkeit nicht gehoben werden koͤnne, daß man indeß in einer ſo ſchwierigen Unterſuchung, ohne die Rechnung ganz durchzufuͤhren, nicht den Erfolg aller Umſtaͤnde nach einer ungefaͤhren Vorausſicht angeben koͤnne, und daß es daher ungewiß ſei, ob vielleicht ein ſolcher Einfluß der ſchneller einander folgenden Wellen, ſo wie die Erfahrung ihn anzudeuten ſcheine, da ſtatt finden koͤnne, wo die Wirkungsſphaͤre der Kraͤfte, welche die Elaſticitaͤt des Aethers beſtimmt, ſich weiter als bis auf eine Wellenlaͤnge erſtreckt.","norm":"Poisson, der unter den Verteidigern der Undulationstheorie am allerstrengsten sich an die sicher begründeten theoretischen Schlüsse gehalten hat, gesteht, dass bis jetzt diese Schwierigkeit nicht gehoben werden könne, dass man indes in einer so schwierigen Untersuchung, ohne die Rechnung ganz durchzuführen, nicht den Erfolg aller Umstände nach einer ungefähren Voraussicht angeben könne, und dass es daher ungewiss sei, ob vielleicht ein solcher Einfluss der schneller einander folgenden Wellen, so wie die Erfahrung ihn anzudeuten scheine, da stattfinden könne, wo die Wirkungssphäre der Kräfte, welche die Elastizität des Äthers bestimmt, sich weiter als bis auf eine Wellenlänge 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+{"basename":"brandes_naturlehre02_1831","par_idx":2146,"date":1831,"orig":"Young und Fresnel ſuchen die Schwierigkeit auf eine andre Weiſe zu heben, die ich fruͤher ſchon angedeutet habe, und der ich hier noch eine kleine Einleitung voranſchicken muß.","norm":"Young und Fresnel suchen die Schwierigkeit auf eine andere Weise zu heben, die ich früher schon angedeutet habe, und der ich hier noch eine kleine Einleitung voranschicken 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+{"basename":"brandes_naturlehre02_1831","par_idx":2150,"date":1831,"orig":"Sie machen naͤmlich bemerklich, daß durch die Lichtwellen auch wohl die groͤberen materiellen Theilchen der Koͤrper in Vibrationen geſetzt werden und daß dieſe die Aetherwellen im Innern des Koͤrpers modificiren koͤnnten.","norm":"Sie machen nämlich bemerkbar, dass durch die Lichtwellen auch wohl die gröberen materiellen Teilchen der Körper in Vibrationen gesetzt werden und dass diese die Ätherwellen im Inneren des Körpers modifizieren 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+{"basename":"brandes_naturlehre02_1831","par_idx":2151,"date":1831,"orig":"Daß dies moͤglich ſei, bin ich nicht geneigt ganz zu leugnen; aber indem wir eine ſolche Einmiſchung andrer Vibrationen annehmen, geben wir es auf, die theoretiſche Strenge der Undulationstheorie aufrecht zu erhalten, und ſetzen uns eben dem Vorwurfe aus, den Fresnel ſo oft der Newton'ſchen Theorie macht, zu jeder neuen Erſcheinung neue, nicht in der Grundhypotheſe ſchon liegende Vorausſetzungen zu Huͤlfe zu nehmen.","norm":"Dass dies möglich sei, bin ich nicht geneigt ganz zu leugnen; aber indem wir eine solche Einmischung anderer Vibrationen annehmen, geben wir es auf, die theoretische Strenge der Undulationstheorie aufrechtzuerhalten, und setzen uns eben dem Vorwurfe aus, den Fresnel so oft der Newton'schen Theorie macht, zu jeder neuen Erscheinung neue, nicht in der Grundhypothese schon liegende Voraussetzungen zu Hilfe zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2152,"date":1831,"orig":"Daß uͤbrigens dieſer Einfluß der materiellen Theilchen vielleicht ein ſehr mannigfaltiger und grade ſo ſein kann, wie die verſchiedene Brechung der einzelnen Farbenſtrahlen ihn fordert, das laͤßt ſich weder beweiſen noch leugnen.","norm":"Dass übrigens dieser Einfluss der materiellen Teilchen vielleicht ein sehr mannigfaltiger und gerade so sein kann, wie die verschiedene Brechung der einzelnen Farbenstrahlen ihn fordert, das lässt sich weder beweisen noch 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+{"basename":"brandes_naturlehre02_1831","par_idx":2153,"date":1831,"orig":"Die ungleiche Farbenzerſtreuung, welche darin beſteht, daß nicht im ſtrengſten Sinne ein gewiſſer Farbenſtrahl eine genau gleiche Stelle im Farbenbilde einnimmt, iſt offenbar ein Umſtand, der die Schwierigkeit noch vergroͤßert.","norm":"Die ungleiche Farbenzerstreuung, welche darin besteht, dass nicht im strengsten Sinne ein gewisser Farbenstrahl eine genau gleiche Stelle im Farbenbilde einnimmt, ist offenbar ein Umstand, der die Schwierigkeit noch 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+{"basename":"brandes_naturlehre02_1831","par_idx":2161,"date":1831,"orig":"Aber dieſer Abſtand iſt ein anderer bei den Wellen des gelben Lichtes, bei denen des gruͤnen, des blauen, des violetten, und da, wie ich fruͤher uͤberzeugend gezeigt zu haben hoffe, es eine unendliche Mannigfaltigkeit ungleich brechbarer Strahlen giebt, da zwiſchen dem aͤußerſten Roth und dem aͤußerſten Violett im Sonnenſtrahle faſt alle Abſtufungen von Brechbarkeit in wenig unterbrochener Reihenfolge vorkommen; ſo muß es eine unzaͤhlig mannigfaltige Reihenfolge verſchiedener Wellen geben, die alle eine gleiche Fortpflanzungsgeſchwindigkeit haben, aber an Laͤnge oder in Hinſicht des Abſtandes der in gleichem Verdichtungs- und Verduͤnnungszuſtande befindlichen Aethertheilchen, in einer ganzen Reihe von Abſtufunge von einander verſchieden ſind.","norm":"Aber dieser Abstand ist ein anderer bei den Wellen des gelben Lichtes, bei denen des grünen, des blauen, des violetten, und da, wie ich früher überzeugend gezeigt zu haben hoffe, es eine unendliche Mannigfaltigkeit ungleich brechbarer Strahlen gibt, da zwischen dem äußersten Rot und dem äußersten Violett im Sonnenstrahl fast alle Abstufungen von Brechbarkeit in wenig unterbrochener Reihenfolge vorkommen; so muss es eine unzählig mannigfaltige Reihenfolge verschiedener Wellen geben, die alle eine gleiche Fortpflanzungsgeschwindigkeit haben, aber an Länge oder in Hinsicht des Abstandes der in gleichem Verdichtungs- und Verdünnungszustande befindlichen Ätherteilchen, in einer ganzen Reihe von Abstufung voneinander verschieden 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+{"basename":"brandes_naturlehre02_1831","par_idx":2164,"date":1831,"orig":"— Gewiß iſt dieſe Vorſtellung von ſo mannigfaltigen Wellen-Arten, die jede in eben der Richtung ihre Bewegung regelmaͤßig fortſetzen, deren keine die andre ſtoͤrt, ſchon etwas ſchwer zu faſſendes, und doch muͤſſen wir, um die wunderbaren Erſcheinungen des Lichtes zu verſtehen, noch groͤßere Verwickelungen zugeſtehen.","norm":"— Gewiss ist diese Vorstellung von so mannigfaltigen Wellenarten, die jede in eben der Richtung ihre Bewegung regelmäßig fortsetzen, deren keine die andere stört, schon etwas schwer zu fassendes, und doch müssen wir, um die wunderbaren Erscheinungen des Lichtes zu verstehen, noch größere Verwicklungen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2172,"date":1831,"orig":"Stellen Sie ein Gefaͤß mit reinem Waſſer ſo, daß ſie den hellen Himmel, er ſei nun heiter oder bewoͤlkt, geſpiegelt im Waſſer ſehen; bringen Sie dann einen kleinen Tropfen Terpentin-Oel oder ein andres Oel, das ſich leicht auf dem Waſſer ausbreitet, auf das Waſſer; ſo ſehen Sie dieſen Tropfen, die lebhafteſten, ſchoͤnſten Farben gebend, ſich verbreiten.","norm":"Stellen Sie ein Gefäß mit reinem Wasser so, dass sie den hellen Himmel, er sei nun heiter oder bewölkt, gespiegelt im Wasser sehen; bringen Sie dann einen kleinen Tropfen Terpentinöl oder ein anderes Öl, das sich leicht auf dem Wasser ausbreitet, auf das Wasser; so sehen Sie diesen Tropfen, die lebhaftesten, schönsten Farben gebend, sich 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+{"basename":"brandes_naturlehre02_1831","par_idx":2174,"date":1831,"orig":"Newton's Farbenringe.","norm":"Newtons Farbenringe.","orig_tok":["Newton's","Farbenringe","."],"norm_tok":["Newtons","Farbenringe","."],"orig_spans":[[0,8],[9,20],[20,21]],"norm_spans":[[0,7],[8,19],[19,20]],"alignment":[[0,0],[1,1],[2,2]],"lang_fastText":"en","lang_py3langid":"da","lang_cld3":"yo","orig_lang_de":0,"norm_lmscore":6.387199878692627} +{"basename":"brandes_naturlehre02_1831","par_idx":2175,"date":1831,"orig":"Aber um dieſe einfachen Verſuche recht zu verſtehen, muͤſſen wir etwas kuͤnſtlichere Verſuche anſtellen, bei welchen das Maaß der Dicke dieſer farbenloſen und dennoch Farben zeigenden Schichten angegeben werden kann; und hier iſt es wieder Newton, der dieſe Verſuche zuerſt und mit großer Genauigkeit angeſtellt, der eben dadurch die Regeln, nach welchen ſich dieſe Farben zeigen, vollſtaͤndig entdeckt hat.","norm":"Aber um diese einfachen Versuche recht zu verstehen, müssen wir etwas 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hat.","orig_tok":["Aber","um","dieſe","einfachen","Verſuche","recht","zu","verſtehen",",","muͤſſen","wir","etwas","kuͤnſtlichere","Verſuche","anſtellen",",","bei","welchen","das","Maaß","der","Dicke","dieſer","farbenloſen","und","dennoch","Farben","zeigenden","Schichten","angegeben","werden","kann",";","und","hier","iſt","es","wieder","Newton",",","der","dieſe","Verſuche","zuerſt","und","mit","großer","Genauigkeit","angeſtellt",",","der","eben","dadurch","die","Regeln",",","nach","welchen","ſich","dieſe","Farben","zeigen",",","vollſtaͤndig","entdeckt","hat","."],"norm_tok":["Aber","um","diese","einfachen","Versuche","recht","zu","verstehen",",","müssen","wir","etwas","künstlichere","Versuche","anstellen",",","bei","welchen","das","Maß","der","Dicke","dieser","farbenlosen","und","dennoch","Farben","zeigenden","Schichten","angegeben","werden","kann",";","und","hier","ist","es","wieder","Newton",",","der","diese","Versuche","zuerst","und","mit","großer","Genauigkeit","angestellt",",","der","eben","dadurch","die","Regeln",",","nach","welchen","sich","diese","Farben","zeigen",",","vollständig","entdeckt","hat","."],"orig_spans":[[0,4],[5,7],[8,13],[14,23],[24,32],[33,38],[39,41],[42,51],[51,52],[53,60],[61,64],[65,70],[71,84],[85,93],[94,103],[103,104],[105,108],[109,116],[117,120],[121,125],[126,129],[130,135],[136,142],[143,154],[155,158],[159,166],[167,173],[174,183],[184,193],[194,203],[204,210],[211,215],[215,216],[217,220],[221,225],[226,229],[230,232],[233,239],[240,246],[246,247],[248,251],[252,257],[258,266],[267,273],[274,277],[278,281],[282,288],[289,300],[301,311],[311,312],[313,316],[317,321],[322,329],[330,333],[334,340],[340,341],[342,346],[347,354],[355,359],[360,365],[366,372],[373,379],[379,380],[381,393],[394,402],[403,406],[406,407]],"norm_spans":[[0,4],[5,7],[8,13],[14,23],[24,32],[33,38],[39,41],[42,51],[51,52],[53,59],[60,63],[64,69],[70,82],[83,91],[92,101],[101,102],[103,106],[107,114],[115,118],[119,122],[123,126],[127,132],[133,139],[140,151],[152,155],[156,163],[164,170],[171,180],[181,190],[191,200],[201,207],[208,212],[212,213],[214,217],[218,222],[223,226],[227,229],[230,236],[237,243],[243,244],[245,248],[249,254],[255,263],[264,270],[271,274],[275,278],[279,285],[286,297],[298,308],[308,309],[310,313],[314,318],[319,326],[327,330],[331,337],[337,338],[339,343],[344,351],[352,356],[357,362],[363,369],[370,376],[376,377],[378,389],[390,398],[399,402],[402,403]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.4481000900268555} +{"basename":"brandes_naturlehre02_1831","par_idx":2176,"date":1831,"orig":"Newton bemerkte dieſe Farben da, wo zwiſchen zwei Glaͤſern ein ſehr kleiner Zwiſchenraum, alſo eine duͤnne Luftſchichte, enthalten iſt, und dieſes veranlaßte ihn, ein nach einem ſehr großen Halbmeſſer geſchliffenes Linſenglas auf ein voͤllig ebnes Glas zu legen, um die ſich hier zeigenden Farben zu beobachten.","norm":"Newton bemerkte diese Farben da, wo zwischen zwei Gläsern ein sehr kleiner Zwischenraum, also eine dünne Luftschichte, enthalten ist, und dieses veranlasste ihn, ein nach einem sehr großen Halbmesser geschliffenes Linsenglas auf ein völlig ebenes Glas zu legen, um die sich hier zeigenden Farben zu beobachten.","orig_tok":["Newton","bemerkte","dieſe","Farben","da",",","wo","zwiſchen","zwei","Glaͤſern","ein","ſehr","kleiner","Zwiſchenraum",",","alſo","eine","duͤnne","Luftſchichte",",","enthalten","iſt",",","und","dieſes","veranlaßte","ihn",",","ein","nach","einem","ſehr","großen","Halbmeſſer","geſchliffenes","Linſenglas","auf","ein","voͤllig","ebnes","Glas","zu","legen",",","um","die","ſich","hier","zeigenden","Farben","zu","beobachten","."],"norm_tok":["Newton","bemerkte","diese","Farben","da",",","wo","zwischen","zwei","Gläsern","ein","sehr","kleiner","Zwischenraum",",","also","eine","dünne","Luftschichte",",","enthalten","ist",",","und","dieses","veranlasste","ihn",",","ein","nach","einem","sehr","großen","Halbmesser","geschliffenes","Linsenglas","auf","ein","völlig","ebenes","Glas","zu","legen",",","um","die","sich","hier","zeigenden","Farben","zu","beobachten","."],"orig_spans":[[0,6],[7,15],[16,21],[22,28],[29,31],[31,32],[33,35],[36,44],[45,49],[50,58],[59,62],[63,67],[68,75],[76,88],[88,89],[90,94],[95,99],[100,106],[107,119],[119,120],[121,130],[131,134],[134,135],[136,139],[140,146],[147,157],[158,161],[161,162],[163,166],[167,171],[172,177],[178,182],[183,189],[190,200],[201,214],[215,225],[226,229],[230,233],[234,241],[242,247],[248,252],[253,255],[256,261],[261,262],[263,265],[266,269],[270,274],[275,279],[280,289],[290,296],[297,299],[300,310],[310,311]],"norm_spans":[[0,6],[7,15],[16,21],[22,28],[29,31],[31,32],[33,35],[36,44],[45,49],[50,57],[58,61],[62,66],[67,74],[75,87],[87,88],[89,93],[94,98],[99,104],[105,117],[117,118],[119,128],[129,132],[132,133],[134,137],[138,144],[145,156],[157,160],[160,161],[162,165],[166,170],[171,176],[177,181],[182,188],[189,199],[200,213],[214,224],[225,228],[229,232],[233,239],[240,246],[247,251],[252,254],[255,260],[260,261],[262,264],[265,268],[269,273],[274,278],[279,288],[289,295],[296,298],[299,309],[309,310]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.959399938583374} +{"basename":"brandes_naturlehre02_1831","par_idx":2177,"date":1831,"orig":"Die Farben erſcheinen hier in regelmaͤßigen Ringen, die den Mittelpunct, wo beide Glaͤſer ſich beruͤhren, als concentriſche Kreiſe umgeben; iſt das obere Glas wenig gegen das untere gedruͤckt, ſo zeigt ſich irgend eine Farbe in der Mitte, die von andern Farbenringen umgeben iſt; verſtaͤrkt man dann den Druck, ſo daß der Abſtand der Glaͤſer von einander etwas geringer wird, ſo breitet ſich jene den Mittelpunct ausfuͤllende Farbe in einen Ring aus, den die vorigen Ringe, nun einen etwas groͤßern Durchmeſſer annehmend, umgeben, und eine neue Farbe nimmt die Mitte ein; bei noch mehr verſtaͤrktem Drucke geht wieder die Farbe des Mittelpuncts in einen neuen Ring uͤber, und ſo entſtehen nach und nach bei verſtaͤrktem Druck mehr Ringe, bis endlich in der Mitte die innige Beruͤhrung beider Glaͤſer erreicht und ein dunkler Fleck in der Mitte entſtanden iſt, und dann iſt die Folge der Farbenringe allemal voͤllig gleich.","norm":"Die Farben erscheinen hier in regelmäßigen Ringen, die den Mittelpunkt, wo beide Gläser sich berühren, als konzentrische Kreise umgeben; ist das obere Glas wenig gegen das untere gedrückt, so zeigt sich irgendeine Farbe in der Mitte, die von anderen Farbenringen umgeben ist; verstärkt man dann den Druck, so dass der Abstand der Gläser voneinander etwas geringer wird, so breitet sich jene den Mittelpunkt ausfüllende Farbe in einen Ring aus, den die vorigen Ringe, nun einen etwas größeren Durchmesser annehmend, umgeben, und eine neue Farbe nimmt die Mitte ein; bei noch mehr verstärktem Drucke geht wieder die Farbe des Mittelpunkts in einen neuen Ring über, und so entstehen nach und nach bei verstärktem Druck mehr Ringe, bis endlich in der Mitte die innige Berührung beider Gläser erreicht und ein dunkler Fleck in der Mitte entstanden ist, und dann ist die Folge der Farbenringe allemal völlig gleich.","orig_tok":["Die","Farben","erſcheinen","hier","in","regelmaͤßigen","Ringen",",","die","den","Mittelpunct",",","wo","beide","Glaͤſer","ſich","beruͤhren",",","als","concentriſche","Kreiſe","umgeben",";","iſt","das","obere","Glas","wenig","gegen","das","untere","gedruͤckt",",","ſo","zeigt","ſich","irgend","eine","Farbe","in","der","Mitte",",","die","von","andern","Farbenringen","umgeben","iſt",";","verſtaͤrkt","man","dann","den","Druck",",","ſo","daß","der","Abſtand","der","Glaͤſer","von","einander","etwas","geringer","wird",",","ſo","breitet","ſich","jene","den","Mittelpunct","ausfuͤllende","Farbe","in","einen","Ring","aus",",","den","die","vorigen","Ringe",",","nun","einen","etwas","groͤßern","Durchmeſſer","annehmend",",","umgeben",",","und","eine","neue","Farbe","nimmt","die","Mitte","ein",";","bei","noch","mehr","verſtaͤrktem","Drucke","geht","wieder","die","Farbe","des","Mittelpuncts","in","einen","neuen","Ring","uͤber",",","und","ſo","entſtehen","nach","und","nach","bei","verſtaͤrktem","Druck","mehr","Ringe",",","bis","endlich","in","der","Mitte","die","innige","Beruͤhrung","beider","Glaͤſer","erreicht","und","ein","dunkler","Fleck","in","der","Mitte","entſtanden","iſt",",","und","dann","iſt","die","Folge","der","Farbenringe","allemal","voͤllig","gleich","."],"norm_tok":["Die","Farben","erscheinen","hier","in","regelmäßigen","Ringen",",","die","den","Mittelpunkt",",","wo","beide","Gläser","sich","berühren",",","als","konzentrische","Kreise","umgeben",";","ist","das","obere","Glas","wenig","gegen","das","untere","gedrückt",",","so","zeigt","sich","irgendeine","Farbe","in","der","Mitte",",","die","von","anderen","Farbenringen","umgeben","ist",";","verstärkt","man","dann","den","Druck",",","so","dass","der","Abstand","der","Gläser","voneinander","etwas","geringer","wird",",","so","breitet","sich","jene","den","Mittelpunkt","ausfüllende","Farbe","in","einen","Ring","aus",",","den","die","vorigen","Ringe",",","nun","einen","etwas","größeren","Durchmesser","annehmend",",","umgeben",",","und","eine","neue","Farbe","nimmt","die","Mitte","ein",";","bei","noch","mehr","verstärktem","Drucke","geht","wieder","die","Farbe","des","Mittelpunkts","in","einen","neuen","Ring","über",",","und","so","entstehen","nach","und","nach","bei","verstärktem","Druck","mehr","Ringe",",","bis","endlich","in","der","Mitte","die","innige","Berührung","beider","Gläser","erreicht","und","ein","dunkler","Fleck","in","der","Mitte","entstanden","ist",",","und","dann","ist","die","Folge","der","Farbenringe","allemal","völlig","gleich","."],"orig_spans":[[0,3],[4,10],[11,21],[22,26],[27,29],[30,43],[44,50],[50,51],[52,55],[56,59],[60,71],[71,72],[73,75],[76,81],[82,89],[90,94],[95,104],[104,105],[106,109],[110,123],[124,130],[131,138],[138,139],[140,143],[144,147],[148,153],[154,158],[159,164],[165,170],[171,174],[175,181],[182,191],[191,192],[193,195],[196,201],[202,206],[207,213],[214,218],[219,224],[225,227],[228,231],[232,237],[237,238],[239,242],[243,246],[247,253],[254,266],[267,274],[275,278],[278,279],[280,290],[291,294],[295,299],[300,303],[304,309],[309,310],[311,313],[314,317],[318,321],[322,329],[330,333],[334,341],[342,345],[346,354],[355,360],[361,369],[370,374],[374,375],[376,378],[379,386],[387,391],[392,396],[397,400],[401,412],[413,425],[426,431],[432,434],[435,440],[441,445],[446,449],[449,450],[451,454],[455,458],[459,466],[467,472],[472,473],[474,477],[478,483],[484,489],[490,498],[499,510],[511,520],[520,521],[522,529],[529,530],[531,534],[535,539],[540,544],[545,550],[551,556],[557,560],[561,566],[567,570],[570,571],[572,575],[576,580],[581,585],[586,598],[599,605],[606,610],[611,617],[618,621],[622,627],[628,631],[632,644],[645,647],[648,653],[654,659],[660,664],[665,670],[670,671],[672,675],[676,678],[679,688],[689,693],[694,697],[698,702],[703,706],[707,719],[720,725],[726,730],[731,736],[736,737],[738,741],[742,749],[750,752],[753,756],[757,762],[763,766],[767,773],[774,784],[785,791],[792,799],[800,808],[809,812],[813,816],[817,824],[825,830],[831,833],[834,837],[838,843],[844,854],[855,858],[858,859],[860,863],[864,868],[869,872],[873,876],[877,882],[883,886],[887,898],[899,906],[907,914],[915,921],[921,922]],"norm_spans":[[0,3],[4,10],[11,21],[22,26],[27,29],[30,42],[43,49],[49,50],[51,54],[55,58],[59,70],[70,71],[72,74],[75,80],[81,87],[88,92],[93,101],[101,102],[103,106],[107,120],[121,127],[128,135],[135,136],[137,140],[141,144],[145,150],[151,155],[156,161],[162,167],[168,171],[172,178],[179,187],[187,188],[189,191],[192,197],[198,202],[203,213],[214,219],[220,222],[223,226],[227,232],[232,233],[234,237],[238,241],[242,249],[250,262],[263,270],[271,274],[274,275],[276,285],[286,289],[290,294],[295,298],[299,304],[304,305],[306,308],[309,313],[314,317],[318,325],[326,329],[330,336],[337,348],[349,354],[355,363],[364,368],[368,369],[370,372],[373,380],[381,385],[386,390],[391,394],[395,406],[407,418],[419,424],[425,427],[428,433],[434,438],[439,442],[442,443],[444,447],[448,451],[452,459],[460,465],[46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+{"basename":"brandes_naturlehre02_1831","par_idx":2179,"date":1831,"orig":"Man ſieht dieſe Ringe recht ſchoͤn nur bei einem großen Linſenglaſe, deſſen auf dem andern Glaſe liegende Woͤlbung nach einem ſehr großen Halbmeſſer geſchliffen iſt, weil da die Abſtaͤnde beider Glaͤſer, worauf es hier ankommt, nur ſehr langſam zunehmen; aber auch bei kleinern Linſen, etwa bei einem Brennglaſe von 3 oder 4 Zoll Durchmeſſer, deſſen Brennweite 1 bis 2 Fuß iſt, bemerkt man beim feſten Andruͤcken gegen ein zweites Glas einen Fleck, der, wenn man ihn mit einem einfachen Vergroͤßerungsglaſe betrachtet, mit eben jenen Ringen umgeben iſt.","norm":"Man sieht diese Ringe recht schön nur bei einem großen Linsenglase, dessen auf dem anderen Glase liegende Wölbung nach einem sehr großen Halbmesser geschliffen ist, weil da die Abstände beider Gläser, worauf es hier ankommt, nur sehr langsam zunehmen; aber auch bei kleineren Linsen, etwa bei einem Brennglase von 3 oder 4 Zoll Durchmesser, dessen Brennweite 1 bis 2 Fuß ist, bemerkt man beim festen Andrücken gegen ein zweites Glas einen Fleck, der, wenn man ihn mit einem einfachen Vergrößerungsglase betrachtet, mit eben jenen Ringen umgeben 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Verſuche iſt es alſo ſchon entſchieden, daß ein enger Zwiſchenraum zwiſchen zwei Oberflaͤchen feſter Koͤrper eine Farben-Erſcheinung hervorbringt; aber Newton, welcher in der hier eintretenden Trennung der Farben eine aus der Miſchung der Farbenſtrahlen im weißen Lichte hervorgehende mindere Einfachheit des Erfolges erkannte, ſah mit ſeinem gewoͤhnlichen Scharfſinne voraus, daß der Verſuch mit einfarbigem Lichte angeſtellt werden muͤſſe, um leichter die von jedem einzelnen Farbenſtrahle hier befolgten Geſetze angeben zu koͤnnen.","norm":"Durch diese Versuche ist es also schon entschieden, dass ein enger Zwischenraum zwischen zwei Oberflächen fester Körper eine Farbenerscheinung hervorbringt; aber Newton, welcher in der hier eintretenden Trennung der Farben eine aus der Mischung der Farbenstrahlen im weißen Lichte hervorgehende mindere Einfachheit des Erfolges erkannte, sah mit seinem gewöhnlichen Scharfsinne voraus, dass der Versuch mit einfarbigem Lichte angestellt werden müsse, um 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+{"basename":"brandes_naturlehre02_1831","par_idx":2192,"date":1831,"orig":"Dieſes ließ ſich nicht anders erwarten.","norm":"Dieses ließ sich nicht anders erwarten.","orig_tok":["Dieſes","ließ","ſich","nicht","anders","erwarten","."],"norm_tok":["Dieses","ließ","sich","nicht","anders","erwarten","."],"orig_spans":[[0,6],[7,11],[12,16],[17,22],[23,29],[30,38],[38,39]],"norm_spans":[[0,6],[7,11],[12,16],[17,22],[23,29],[30,38],[38,39]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.685699939727783} +{"basename":"brandes_naturlehre02_1831","par_idx":2193,"date":1831,"orig":"Aber zugleich zeigte ſich, daß bei Anwendung derſelben Glaͤſer die von gelbem Lichte hervorgebrachten Ringe kleiner als die rothen, die gruͤnen kleiner als die gelben, die blauen kleiner als die gruͤnen, die violetten kleiner als die blauen waren, daß alſo jede Art von Farbenſtrahlen eine eigene Dicke der Luftſchichte fordere, um durch Zuruͤckwerfung ſichtbar zu werden.","norm":"Aber zugleich zeigte sich, dass bei Anwendung derselben Gläser die von gelbem Lichte hervorgebrachten Ringe kleiner als die roten, die grünen kleiner als die gelben, die blauen kleiner als die grünen, die violetten kleiner als die blauen waren, dass also jede Art von Farbenstrahlen eine eigene Dicke der Luftschichte forder, um durch Zurückwerfung sichtbar zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2194,"date":1831,"orig":"Newton berechnete aus den Halbmeſſern der Ringe die Dicke der Luftſchichte, und ſo ergab ſich, daß die Mitte des durch die aͤußerſten violetten Strahlen hervorgebrachten erſten Ringes da lag, wo der Zwiſchenraum 4 Milliontel Zoll betrug, daß die Mitte des zweiten durch eben dieſes Violett hervorgebrachten Ringes dem Zwiſchenraume von 12 Millionteln, die Mitte des dritten 20 Millionteln, die Mitte des vierten 28 Millionteln des Zolles entſprach, ſo daß dieſe Zahlen in der Folge 1 mal 4, 3 mal 4, 5 mal 4, 7 mal 4, 9 mal 4 u. ſ. w. fortgehen.","norm":"Newton berechnete aus den Halbmessern der Ringe die Dicke der Luftschichte, und so ergab sich, dass die Mitte des durch die äußersten violetten Strahlen hervorgebrachten ersten Ringes da lag, wo der Zwischenraum 4 Milliontele Zoll betrug, dass die Mitte des zweiten durch eben dieses Violett hervorgebrachten Ringes dem Zwischenraume von 12 Milliontelen, die Mitte des dritten 20 Milliontelen, die Mitte des vierten 28 Milliontelen des Zolles entsprach, so dass diese Zahlen in der Folge 1 Mal 4, 3 Mal 4, 5 Mal 4, 7 Mal 4, 9 Mal 4 u. s. w. 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Zolles) iſt, von einem violetten und blauen Ringe umgeben iſt.","norm":"Der erste violette Ring fängt da an, wo der Abstand 2 ist, und da kein anderer Ring einem kleineren Abstande entspricht oder keiner dem Mittelpunkte des in der Mitte genau berührenden Glases näher liegt, so erscheint in der Mitte gar kein zurückgeworfenes Licht, sondern ein schwarzer Fleck, der da, wo der Abstand 2 (immer nämlich Milliontele des engl. Zolles) ist, von einem violetten und blauen Ringe umgeben 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+{"basename":"brandes_naturlehre02_1831","par_idx":2199,"date":1831,"orig":"Aber ſchon dem Abſtande 3¼ entſpricht der innere Rand des rothen Ringes und hier gehen alſo bei einfallendem weißem Lichte Strahlen aller Farben zuruͤckgeworfen hervor, ſo daß ſich der violette und blaue Ring nur ganz ſchmal zeigen kann und dann von einem weißen Ringe umgeben iſt.","norm":"Aber schon dem Abstande 31/4 entspricht der innere Rand des roten Ringes und hier gehen also bei einfallendem weißem Lichte Strahlen aller Farben zurückgeworfen hervor, so dass sich der violette und blaue Ring nur ganz schmal zeigen kann und dann von einem weißen Ringe umgeben ist.","orig_tok":["Aber","ſchon","dem","Abſtande","3¼","entſpricht","der","innere","Rand","des","rothen","Ringes","und","hier","gehen","alſo","bei","einfallendem","weißem","Lichte","Strahlen","aller","Farben","zuruͤckgeworfen","hervor",",","ſo","daß","ſich","der","violette","und","blaue","Ring","nur","ganz","ſchmal","zeigen","kann","und","dann","von","einem","weißen","Ringe","umgeben","iſt","."],"norm_tok":["Aber","schon","dem","Abstande","31","/","4","entspricht","der","innere","Rand","des","roten","Ringes","und","hier","gehen","also","bei","einfallendem","weißem","Lichte","Strahlen","aller","Farben","zurückgeworfen","hervor",",","so","dass","sich","der","violette","und","blaue","Ring","nur","ganz","schmal","zeigen","kann","und","dann","von","einem","weißen","Ringe","umgeben","ist","."],"orig_spans":[[0,4],[5,10],[11,14],[15,23],[24,26],[27,37],[38,41],[42,48],[49,53],[54,57],[58,64],[65,71],[72,75],[76,80],[81,86],[87,91],[92,95],[96,108],[109,115],[116,122],[123,131],[132,137],[138,144],[145,160],[161,167],[167,168],[169,171],[172,175],[176,180],[181,184],[185,193],[194,197],[198,203],[204,208],[209,212],[213,217],[218,224],[225,231],[232,236],[237,240],[241,245],[246,249],[250,255],[256,262],[263,268],[269,276],[277,280],[280,281]],"norm_spans":[[0,4],[5,10],[11,14],[15,23],[24,26],[26,27],[27,28],[29,39],[40,43],[44,50],[51,55],[56,59],[60,65],[66,72],[73,76],[77,81],[82,87],[88,92],[93,96],[97,109],[110,116],[117,123],[124,132],[133,138],[139,145],[146,160],[161,167],[167,168],[169,171],[172,176],[177,181],[182,185],[186,194],[195,198],[199,204],[205,209],[210,213],[214,218],[219,225],[226,232],[233,237],[238,241],[242,246],[247,250],[251,256],[257,263],[264,269],[270,277],[278,281],[281,282]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[null,5],[null,6],[5,7],[6,8],[7,9],[8,10],[9,11],[10,12],[11,13],[12,14],[13,15],[14,16],[15,17],[16,18],[17,19],[18,20],[19,21],[20,22],[21,23],[22,24],[23,25],[24,26],[25,27],[26,28],[27,29],[28,30],[29,31],[30,32],[31,33],[32,34],[33,35],[34,36],[35,37],[36,38],[37,39],[38,40],[39,41],[40,42],[41,43],[42,44],[43,45],[44,46],[45,47],[46,48],[47,49]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.070400238037109} +{"basename":"brandes_naturlehre02_1831","par_idx":2200,"date":1831,"orig":"Bei dem Abſtande 6 hoͤrt der erſte violette Ring auf und in der Entfernung vom Mittelpuncte, wo der Abſtand = 7 iſt, werden nur noch gruͤne, gelbe, orange und rothe Strahlen reflectirt, deren Miſchung, wie Sie wiſſen, Gelb giebt, alſo geht hier der weiße Ring in Gelb uͤber, an welches da, wo der Abſtand 9 iſt, ganz reines Roth ſich anſchließt, indem ſelbſt der orangefarbene Ring ſich ſo weit nicht erſtreckt.","norm":"Bei dem Abstande 6 hört der erste violette Ring auf und in der Entfernung vom Mittelpunkte, wo der Abstand = 7 ist, werden nur noch grüne, gelbe, orange und rote Strahlen reflektiert, deren Mischung, wie Sie wissen, Gelb gibt, also geht hier der weiße Ring in Gelb über, an welches da, wo der Abstand 9 ist, ganz reines Rot sich anschließt, indem selbst der orangefarbene Ring sich so weit nicht erstreckt.","orig_tok":["Bei","dem","Abſtande","6","hoͤrt","der","erſte","violette","Ring","auf","und","in","der","Entfernung","vom","Mittelpuncte",",","wo","der","Abſtand","=","7","iſt",",","werden","nur","noch","gruͤne",",","gelbe",",","orange","und","rothe","Strahlen","reflectirt",",","deren","Miſchung",",","wie","Sie","wiſſen",",","Gelb","giebt",",","alſo","geht","hier","der","weiße","Ring","in","Gelb","uͤber",",","an","welches","da",",","wo","der","Abſtand","9","iſt",",","ganz","reines","Roth","ſich","anſchließt",",","indem","ſelbſt","der","orangefarbene","Ring","ſich","ſo","weit","nicht","erſtreckt","."],"norm_tok":["Bei","dem","Abstande","6","hört","der","erste","violette","Ring","auf","und","in","der","Entfernung","vom","Mittelpunkte",",","wo","der","Abstand","=","7","ist",",","werden","nur","noch","grüne",",","gelbe",",","orange","und","rote","Strahlen","reflektiert",",","deren","Mischung",",","wie","Sie","wissen",",","Gelb","gibt",",","also","geht","hier","der","weiße","Ring","in","Gelb","über",",","an","welches","da",",","wo","der","Abstand","9","ist",",","ganz","reines","Rot","sich","anschließt",",","indem","selbst","der","orangefarbene","Ring","sich","so","weit","nicht","erstreckt","."],"orig_spans":[[0,3],[4,7],[8,16],[17,18],[19,24],[25,28],[29,34],[35,43],[44,48],[49,52],[53,56],[57,59],[60,63],[64,74],[75,78],[79,91],[91,92],[93,95],[96,99],[100,107],[108,109],[110,111],[112,115],[115,116],[117,123],[124,127],[128,132],[133,139],[139,140],[141,146],[146,147],[148,154],[155,158],[159,164],[165,173],[174,184],[184,185],[186,191],[192,200],[200,201],[202,205],[206,209],[210,216],[216,217],[218,222],[223,228],[228,229],[230,234],[235,239],[240,244],[245,248],[249,254],[255,259],[260,262],[263,267],[268,273],[273,274],[275,277],[278,285],[286,288],[288,289],[290,292],[293,296],[297,304],[305,306],[307,310],[310,311],[312,316],[317,323],[324,328],[329,333],[334,344],[344,345],[346,351],[352,358],[359,362],[363,376],[377,381],[382,386],[387,389],[390,394],[395,400],[401,410],[410,411]],"norm_spans":[[0,3],[4,7],[8,16],[17,18],[19,23],[24,27],[28,33],[34,42],[43,47],[48,51],[52,55],[56,58],[59,62],[63,73],[74,77],[78,90],[90,91],[92,94],[95,98],[99,106],[107,108],[109,110],[111,114],[114,115],[116,122],[123,126],[127,131],[132,137],[137,138],[139,144],[144,145],[146,152],[153,156],[157,161],[162,170],[171,182],[182,183],[184,189],[190,198],[198,199],[200,203],[204,207],[208,214],[214,215],[216,220],[221,225],[225,226],[227,231],[232,236],[237,241],[242,245],[246,251],[252,256],[257,259],[260,264],[265,269],[269,270],[271,273],[274,281],[282,284],[284,285],[286,288],[289,292],[293,300],[301,302],[303,306],[306,307],[308,312],[313,319],[320,323],[324,328],[329,339],[339,340],[341,346],[347,353],[354,357],[358,371],[372,376],[377,381],[382,384],[385,389],[390,395],[396,405],[405,406]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.33620023727417} +{"basename":"brandes_naturlehre02_1831","par_idx":2201,"date":1831,"orig":"Der zweite violette Ring faͤngt bei dem Abſtande 10 an und geht bis 14, der zweite blaue geht von 10¾ bis 15¾, der zweite gruͤne von 12 bis 18, der gelbe von 13 bis 19¾, der orange von 14 bis 20½, der rothe von 14¾ bis 22¼.","norm":"Der zweite violette Ring fängt bei dem Abstande 10 an und geht bis 14, der zweite blaue geht von 103/4 bis 153/4, der zweite grüne von 12 bis 18, der gelbe von 13 bis 193/4, der orange von 14 bis 201/2, der rote von 143/4 bis 221/4.","orig_tok":["Der","zweite","violette","Ring","faͤngt","bei","dem","Abſtande","10","an","und","geht","bis","14",",","der","zweite","blaue","geht","von","10¾","bis","15¾",",","der","zweite","gruͤne","von","12","bis","18",",","der","gelbe","von","13","bis","19¾",",","der","orange","von","14","bis","20½",",","der","rothe","von","14¾","bis","22¼","."],"norm_tok":["Der","zweite","violette","Ring","fängt","bei","dem","Abstande","10","an","und","geht","bis","14",",","der","zweite","blaue","geht","von","103","/","4","bis","153","/","4",",","der","zweite","grüne","von","12","bis","18",",","der","gelbe","von","13","bis","193","/","4",",","der","orange","von","14","bis","201","/","2",",","der","rote","von","143","/","4","bis","221","/","4."],"orig_spans":[[0,3],[4,10],[11,19],[20,24],[25,31],[32,35],[36,39],[40,48],[49,51],[52,54],[55,58],[59,63],[64,67],[68,70],[70,71],[72,75],[76,82],[83,88],[89,93],[94,97],[98,101],[102,105],[106,109],[109,110],[111,114],[115,121],[122,128],[129,132],[133,135],[136,139],[140,142],[142,143],[144,147],[148,153],[154,157],[158,160],[161,164],[165,168],[168,169],[170,173],[174,180],[181,184],[185,187],[188,191],[192,195],[195,196],[197,200],[201,206],[207,210],[211,214],[215,218],[219,222],[222,223]],"norm_spans":[[0,3],[4,10],[11,19],[20,24],[25,30],[31,34],[35,38],[39,47],[48,50],[51,53],[54,57],[58,62],[63,66],[67,69],[69,70],[71,74],[75,81],[82,87],[88,92],[93,96],[97,100],[100,101],[101,102],[103,106],[107,110],[110,111],[111,112],[112,113],[114,117],[118,124],[125,130],[131,134],[135,137],[138,141],[142,144],[144,145],[146,149],[150,155],[156,159],[160,162],[163,166],[167,170],[170,171],[171,172],[172,173],[174,177],[178,184],[185,188],[189,191],[192,195],[196,199],[199,200],[200,201],[201,202],[203,206],[207,211],[212,215],[216,219],[219,220],[220,221],[222,225],[226,229],[229,230],[230,232]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[null,21],[null,22],[21,23],[22,24],[null,25],[null,26],[23,27],[24,28],[25,29],[26,30],[27,31],[28,32],[29,33],[30,34],[31,35],[32,36],[33,37],[34,38],[35,39],[36,40],[37,41],[null,42],[null,43],[38,44],[39,45],[40,46],[41,47],[42,48],[43,49],[44,50],[null,51],[null,52],[45,53],[46,54],[47,55],[48,56],[49,57],[null,58],[null,59],[50,60],[51,61],[52,null],[null,62],[null,63]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.296200037002563} +{"basename":"brandes_naturlehre02_1831","par_idx":2202,"date":1831,"orig":"Da alſo, wo der Abſtand nur 10 bis 10¾ iſt, ſieht man bloß violette Strahlen, bis gegen den Abſtand 12 nur violette und blaue gemiſcht; bei dem Abſtande 13 und 14 ein aus Violett, Blau, Gruͤn, gemiſchtes Blau; bei 16 eine Farbenmiſchung, welcher Violett und Blau fehlen, die alſo aus Gruͤn ſchon in Gelb uͤbergeht; bei 18 ein aus Gruͤn, Gelb, Orange, Roth entſtehendes Gelb; bei 19 und 20 ſind Gelb, Orange, Roth des zweiten Ringes ſchon mit Violett des dritten gemiſcht.","norm":"Da also, wo der Abstand nur 10 bis 103/4 ist, sieht man bloß violette Strahlen, bis gegen den Abstand 12 nur violette und blaue gemischt; bei dem Abstande 13 und 14 ein aus Violett, Blau, Grün, gemischtes Blau; bei 16 eine Farbenmischung, welcher Violett und Blau fehlen, die also aus Grün schon in Gelb übergeht; bei 18 ein aus Grün, Gelb, Orange, Rot entstehendes Gelb; bei 19 und 20 sind Gelb, Orange, Rot des zweiten Ringes schon mit Violett des dritten 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+{"basename":"brandes_naturlehre02_1831","par_idx":2203,"date":1831,"orig":"Dieſe Nachweiſung der Farben des zweiten Ringes ſtimmt ſo vollkommen mit den Beobachtungen uͤberein, daß auch dieſe das Gruͤn als ſchwach und weißlich angeben (weil bei 15 faſt alle Farbenſtrahlen hervorgehen,) und das Roth als mit hinuͤbergehend in den dritten violetten Ring.","norm":"Diese Nachweisung der Farben des zweiten Ringes stimmt so vollkommen mit den Beobachtungen überein, dass auch diese das Grün als schwach und weißlich angeben (weil bei 15 fast alle Farbenstrahlen hervorgehen,) und das Rot als mit hinübergehend in den dritten violetten Ring.","orig_tok":["Dieſe","Nachweiſung","der","Farben","des","zweiten","Ringes","ſtimmt","ſo","vollkommen","mit","den","Beobachtungen","uͤberein",",","daß","auch","dieſe","das","Gruͤn","als","ſchwach","und","weißlich","angeben","(","weil","bei","15","faſt","alle","Farbenſtrahlen","hervorgehen",",",")","und","das","Roth","als","mit","hinuͤbergehend","in","den","dritten","violetten","Ring","."],"norm_tok":["Diese","Nachweisung","der","Farben","des","zweiten","Ringes","stimmt","so","vollkommen","mit","den","Beobachtungen","überein",",","dass","auch","diese","das","Grün","als","schwach","und","weißlich","angeben","(","weil","bei","15","fast","alle","Farbenstrahlen","hervorgehen",",",")","und","das","Rot","als","mit","hinübergehend","in","den","dritten","violetten","Ring","."],"orig_spans":[[0,5],[6,17],[18,21],[22,28],[29,32],[33,40],[41,47],[48,54],[55,57],[58,68],[69,72],[73,76],[77,90],[91,99],[99,100],[101,104],[105,109],[110,115],[116,119],[120,125],[126,129],[130,137],[138,141],[142,150],[151,158],[159,160],[160,164],[165,168],[169,171],[172,176],[177,181],[182,196],[197,208],[208,209],[209,210],[211,214],[215,218],[219,223],[224,227],[228,231],[232,246],[247,249],[250,253],[254,261],[262,271],[272,276],[276,277]],"norm_spans":[[0,5],[6,17],[18,21],[22,28],[29,32],[33,40],[41,47],[48,54],[55,57],[58,68],[69,72],[73,76],[77,90],[91,98],[98,99],[100,104],[105,109],[110,115],[116,119],[120,124],[125,128],[129,136],[137,140],[141,149],[150,157],[158,159],[159,163],[164,167],[168,170],[171,175],[176,180],[181,195],[196,207],[207,208],[208,209],[210,213],[214,217],[218,221],[222,225],[226,229],[230,243],[244,246],[247,250],[251,258],[259,268],[269,273],[273,274]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.9644999504089355} +{"basename":"brandes_naturlehre02_1831","par_idx":2204,"date":1831,"orig":"Bei dem Abſtande 20 naͤmlich koͤmmt das dritte Violett noch mit vielem Roth der zweiten Ordnung zuſammen; bei 22 bis 24 iſt Blau theils aus Violett und Blau, theils aus dieſen Farben und Gruͤn gemiſcht; bei 25 verbinden ſich Blau, Gruͤn, Gelb zu einem ſchoͤnen Gruͤn; ebenſo ſchoͤn tritt das Gelb hervor; aber das Roth, welches bei 28 bis 31 am lebhafteſten erſcheinen ſollte, iſt ſchon ſtark mit dem vierten Violett, welches bei 26 anfaͤngt, und Blau, welches bei 29 anfaͤngt, gemiſcht.","norm":"Bei dem Abstande 20 nämlich kommt das dritte Violett noch mit vielem Rot der zweiten Ordnung zusammen; bei 22 bis 24 ist Blau teils aus Violett und Blau, teils aus diesen Farben und Grün gemischt; bei 25 verbinden sich Blau, Grün, Gelb zu einem schönen Grün; ebenso schön tritt das Gelb hervor; aber das Rot, welches bei 28 bis 31 am lebhaftesten erscheinen sollte, ist schon stark mit dem vierten Violett, welches bei 26 anfängt, und Blau, welches bei 29 anfängt, gemischt.","orig_tok":["Bei","dem","Abſtande","20","naͤmlich","koͤmmt","das","dritte","Violett","noch","mit","vielem","Roth","der","zweiten","Ordnung","zuſammen",";","bei","22","bis","24","iſt","Blau","theils","aus","Violett","und","Blau",",","theils","aus","dieſen","Farben","und","Gruͤn","gemiſcht",";","bei","25","verbinden","ſich","Blau",",","Gruͤn",",","Gelb","zu","einem","ſchoͤnen","Gruͤn",";","ebenſo","ſchoͤn","tritt","das","Gelb","hervor",";","aber","das","Roth",",","welches","bei","28","bis","31","am","lebhafteſten","erſcheinen","ſollte",",","iſt","ſchon","ſtark","mit","dem","vierten","Violett",",","welches","bei","26","anfaͤngt",",","und","Blau",",","welches","bei","29","anfaͤngt",",","gemiſcht","."],"norm_tok":["Bei","dem","Abstande","20","nämlich","kommt","das","dritte","Violett","noch","mit","vielem","Rot","der","zweiten","Ordnung","zusammen",";","bei","22","bis","24","ist","Blau","teils","aus","Violett","und","Blau",",","teils","aus","diesen","Farben","und","Grün","gemischt",";","bei","25","verbinden","sich","Blau",",","Grün",",","Gelb","zu","einem","schönen","Grün",";","ebenso","schön","tritt","das","Gelb","hervor",";","aber","das","Rot",",","welches","bei","28","bis","31","am","lebhaftesten","erscheinen","sollte",",","ist","schon","stark","mit","dem","vierten","Violett",",","welches","bei","26","anfängt",",","und","Blau",",","welches","bei","29","anfängt",",","gemischt","."],"orig_spans":[[0,3],[4,7],[8,16],[17,19],[20,28],[29,35],[36,39],[40,46],[47,54],[55,59],[60,63],[64,70],[71,75],[76,79],[80,87],[88,95],[96,104],[104,105],[106,109],[110,112],[113,116],[117,119],[120,123],[124,128],[129,135],[136,139],[140,147],[148,151],[152,156],[156,157],[158,164],[165,168],[169,175],[176,182],[183,186],[187,192],[193,201],[201,202],[203,206],[207,209],[210,219],[220,224],[225,229],[229,230],[231,236],[236,237],[238,242],[243,245],[246,251],[252,260],[261,266],[266,267],[268,274],[275,281],[282,287],[288,291],[292,296],[297,303],[303,304],[305,309],[310,313],[314,318],[318,319],[320,327],[328,331],[332,334],[335,338],[339,341],[342,344],[345,357],[358,368],[369,375],[375,376],[377,380],[381,386],[387,392],[393,396],[397,400],[401,408],[409,416],[416,417],[418,425],[426,429],[430,432],[433,441],[441,442],[443,446],[447,451],[451,452],[453,460],[461,464],[465,467],[468,476],[476,477],[478,486],[486,487]],"norm_spans":[[0,3],[4,7],[8,16],[17,19],[20,27],[28,33],[34,37],[38,44],[45,52],[53,57],[58,61],[62,68],[69,72],[73,76],[77,84],[85,92],[93,101],[101,102],[103,106],[107,109],[110,113],[114,116],[117,120],[121,125],[126,131],[132,135],[136,143],[144,147],[148,152],[152,153],[154,159],[160,163],[164,170],[171,177],[178,181],[182,186],[187,195],[195,196],[197,200],[201,203],[204,213],[214,218],[219,223],[223,224],[225,229],[229,230],[231,235],[236,238],[239,244],[245,252],[253,257],[257,258],[259,265],[266,271],[272,277],[278,281],[282,286],[287,293],[293,294],[295,299],[300,303],[304,307],[307,308],[309,316],[317,320],[321,323],[324,327],[328,330],[331,333],[334,346],[347,357],[358,364],[364,365],[366,369],[370,375],[376,381],[382,385],[386,389],[390,397],[398,405],[405,406],[407,414],[415,418],[419,421],[422,429],[429,430],[431,434],[435,439],[439,440],[441,448],[449,452],[453,455],[456,463],[463,464],[465,473],[473,474]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87],[88,88],[89,89],[90,90],[91,91],[92,92],[93,93],[94,94],[95,95]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.060500144958496} 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muͤſſen.","norm":"Hier fangen nun die Ringe der nächsten Ordnung an, so stark aufeinander zu fallen, dass das Violett und Blau der vierten Ordnung gar nicht erscheint; denn erst bei dem Abstand 343/4 endigt sich völlig der dritte rote Ring, und da der vierte violette Ring sich sogar schon früher endigt, so tritt bei 34 nur Blau und Grün, bei 36 bis 38 eine Mischung aus dem Gelb der vierten und dem Violett oder Violett und Blau der fünften Ordnung zu Grün gemischt hervor; bei 40 bis 42 ist das Orange und Rot der vierten Ordnung mit dem Blau der fünften Ordnung gemischt; und da das Rot der vierten Ordnung sich bis 473/4 erstrecken sollte, wo zugleich das Gelb der fünften und das Violett und Blau der sechsten Ordnung hervorgeht, so erhellt, dass die Ringe, die mit Rot und Grün wechselnd noch als fünfte und sechste Ordnung hervorgehen, nun je mehr und mehr unkenntlich, sich allmählich in Weiß verlieren 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+{"basename":"brandes_naturlehre02_1831","par_idx":2210,"date":1831,"orig":"Fuͤr die Mitte des gruͤnen Strahles kann man 5 Milliontel als den Abſtand der beſten Reflexion angeben, dagegen 4¾ fuͤr einen ſchon voͤllig blauen Lichtſtrahl; wir werden alſo ein Licht noch fuͤr vollkommen gruͤn anſehen, ſo wohl wenn 5 als wenn 4,9 Milliontel dem Abſtande der beſten Reflexion entſprechen; aber dieſe beiden gruͤnen Lichtſtrahlen geben im ſtrengſten Sinne genommen ſchon ungleiche Farbenringe dem Durchmeſſer nach, wenn auch, ſo weit das Urtheil unſeres Auges geht, nicht der Farbe nach.","norm":"Für die Mitte des grünen Strahles kann man 5 Milliontele als den Abstand der besten Reflexion angeben, dagegen 43/4 für einen schon völlig blauen Lichtstrahl; wir werden also ein Licht noch für vollkommen grün ansehen, so wohl wenn 5 als wenn 4,9 Milliontele dem Abstande der besten Reflexion entsprechen; aber diese beiden grünen Lichtstrahlen geben im strengsten Sinne genommen schon ungleiche Farbenringe dem Durchmesser nach, wenn auch, so weit das Urteil unseres Auges geht, nicht der Farbe 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+{"basename":"brandes_naturlehre02_1831","par_idx":2219,"date":1831,"orig":"Wir ſehen dieſe Farben oft da, wo bei Koͤrpern, die aus Blaͤttchen beſtehen, entweder dieſe Blaͤttchen duͤnne genug ſind, um uns Farben einer niedrigen Ordnung, wo naͤmlich noch keine Miſchung aller Farben eintritt, zu zeigen, oder wo zwiſchen den Schichten ſich ſo duͤnne Luftſchichten eingeſchloſſen befinden.","norm":"Wir sehen diese Farben oft da, wo bei Körpern, die aus Blättchen bestehen, entweder diese Blättchen dünne genug sind, um uns Farben einer niedrigen Ordnung, wo nämlich noch keine Mischung aller Farben eintritt, zu zeigen, oder wo zwischen den Schichten sich so dünne Luftschichten eingeschlossen 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der Zurückwerfung 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+{"basename":"brandes_naturlehre02_1831","par_idx":2222,"date":1831,"orig":"Die Seifenblaſen ſind als hoͤchſt duͤnne Waſſerſchichten ſo gut geeignet, dieſe Farben zu zeigen, und da bei großen Blaſen die Waſſerſchichte oben merklich duͤnner als unten iſt, ſo gehoͤren die Farben oben den geringeren Dicken, den kleineren Ringen in den vorhin betrachteten Faͤllen, an; wenn bei laͤngerer Dauer die Blaſe oben immer mehr ſich verduͤnnt, ſo zeigt ſich oben der ſchwarze Fleck, ſo wie in der Mitte der Glaslinſe, und die Ringe der erſten und zweiten Ordnung umgeben ihn; aber das Zerſpringen der Blaſe iſt dann auch nicht mehr lange entfernt.","norm":"Die Seifenblasen sind als höchst dünne Wasserschichten so gut geeignet, diese Farben zu zeigen, und da bei großen Blasen die Wasserschichte oben merklich dünner als unten ist, so gehören die Farben oben den geringeren Dicken, den kleineren Ringen in den vorhin betrachteten Fällen, an; wenn bei längerer Dauer die Blase oben immer mehr sich verdünnt, so zeigt sich oben der schwarze Fleck, so wie in der Mitte der Glaslinse, und die Ringe der ersten und zweiten Ordnung umgeben ihn; aber das Zerspringen der Blase ist dann auch nicht mehr lange 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vierfachen Dicke wieder ganz durchgelaſſen zu werden, aber eine Zuruͤckwerfung zu erleiden, wenn die Dicke ein Halb, drei Halbe, fuͤnf Halbe u. ſ. w. jener Dicke iſt, dieſe hat eigentlich der Newton'ſchen Vorſtellung von ungleichen, in gewiſſen Perioden wiederkehrenden Zuſtaͤnden der Lichttheilchen ihre Entſtehung gegeben.","norm":"Diese wunderbare Eigenschaft der Lichtstrahlen, bei gewisser Dicke der Schicht gänzlich durchgelassen, bei der doppelten, dreifachen, vierfachen Dicke wieder ganz durchgelassen zu werden, aber eine Zurückwerfung zu erleiden, wenn die Dicke ein Halb, drei Halbe, fünf Halbe u. s. w. jener Dicke ist, diese hat eigentlich der Newton'schen Vorstellung von ungleichen, in gewissen Perioden wiederkehrenden Zuständen der Lichtteilchen ihre Entstehung 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+{"basename":"brandes_naturlehre02_1831","par_idx":2231,"date":1831,"orig":"Hiernach laͤßt ſich die ganze Erſcheinung uͤberſehen, wenn man bloß auf diejenigen Lichttheilchen Ruͤckſicht nimmt, die beim Eintritte in die duͤnne Schichte ſich beinahe in dem vollkommenſten Zuſtande des leichteſten Durchgangs befanden, oder, wie man es ausdruͤckt, in der Phaſe des allerleichteſten Durchgangs waren.","norm":"Hiernach lässt sich die ganze Erscheinung übersehen, wenn man bloß auf diejenigen Lichtteilchen Rücksicht nimmt, die beim Eintritte in die dünne Schicht sich beinahe in dem vollkommensten Zustande des leichtesten Durchgangs befanden, oder, wie man es ausdrückt, in der Phase des allerleichtesten Durchgangs waren.","orig_tok":["Hiernach","laͤßt","ſich","die","ganze","Erſcheinung","uͤberſehen",",","wenn","man","bloß","auf","diejenigen","Lichttheilchen","Ruͤckſicht","nimmt",",","die","beim","Eintritte","in","die","duͤnne","Schichte","ſich","beinahe","in","dem","vollkommenſten","Zuſtande","des","leichteſten","Durchgangs","befanden",",","oder",",","wie","man","es","ausdruͤckt",",","in","der","Phaſe","des","allerleichteſten","Durchgangs","waren","."],"norm_tok":["Hiernach","lässt","sich","die","ganze","Erscheinung","übersehen",",","wenn","man","bloß","auf","diejenigen","Lichtteilchen","Rücksicht","nimmt",",","die","beim","Eintritte","in","die","dünne","Schicht","sich","beinahe","in","dem","vollkommensten","Zustande","des","leichtesten","Durchgangs","befanden",",","oder",",","wie","man","es","ausdrückt",",","in","der","Phase","des","allerleichtesten","Durchgangs","waren","."],"orig_spans":[[0,8],[9,14],[15,19],[20,23],[24,29],[30,41],[42,52],[52,53],[54,58],[59,62],[63,67],[68,71],[72,82],[83,97],[98,108],[109,114],[114,115],[116,119],[120,124],[125,134],[135,137],[138,141],[142,148],[149,157],[158,162],[163,170],[171,173],[174,177],[178,192],[193,201],[202,205],[206,217],[218,228],[229,237],[237,238],[239,243],[243,244],[245,248],[249,252],[253,255],[256,266],[266,267],[268,270],[271,274],[275,280],[281,284],[285,301],[302,312],[313,318],[318,319]],"norm_spans":[[0,8],[9,14],[15,19],[20,23],[24,29],[30,41],[42,51],[51,52],[53,57],[58,61],[62,66],[67,70],[71,81],[82,95],[96,105],[106,111],[111,112],[113,116],[117,121],[122,131],[132,134],[135,138],[139,144],[145,152],[153,157],[158,165],[166,168],[169,172],[173,187],[188,196],[197,200],[201,212],[213,223],[224,232],[232,233],[234,238],[238,239],[240,243],[244,247],[248,250],[251,260],[260,261],[262,264],[265,268],[269,274],[275,278],[279,295],[296,306],[307,312],[312,313]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.275599956512451} 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+{"basename":"brandes_naturlehre02_1831","par_idx":2235,"date":1831,"orig":"Erklaͤrung dieſer Erſcheinungen nach der Undulationstheorie.","norm":"Erklärung dieser Erscheinungen nach der Undulationstheorie.","orig_tok":["Erklaͤrung","dieſer","Erſcheinungen","nach","der","Undulationstheorie","."],"norm_tok":["Erklärung","dieser","Erscheinungen","nach","der","Undulationstheorie","."],"orig_spans":[[0,10],[11,17],[18,31],[32,36],[37,40],[41,59],[59,60]],"norm_spans":[[0,9],[10,16],[17,30],[31,35],[36,39],[40,58],[58,59]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.281199932098389} +{"basename":"brandes_naturlehre02_1831","par_idx":2236,"date":1831,"orig":"Nach der Undulationstheorie legten wir den Aetherwellen eine abwechſelnde Verduͤnnung und Verdichtung bei, und machten die Bemerkung, daß zwei Lichtſtrahlen ſich verſtaͤrken, wenn die Verdichtung in der einen Lichtwelle mit der Verdichtung in der andern zuſammentrifft; aber wir muͤſſen offenbar auch hinzufuͤgen, daß eine Interferenz, eine gegenſeitige Zerſtoͤrung der Wellen eintreten kann, wenn Verdichtung der einen mit Verduͤnnung der andern fortwaͤhrend zuſammentrifft.","norm":"Nach der Undulationstheorie legten wir den Ätherwellen eine abwechselnde Verdünnung und Verdichtung bei, und machten die Bemerkung, dass zwei Lichtstrahlen sich verstärken, wenn die Verdichtung in der einen Lichtwelle mit der Verdichtung in der anderen zusammentrifft; aber wir müssen offenbar auch hinzufügen, dass eine Interferenz, eine gegenseitige Zerstörung der Wellen eintreten kann, wenn Verdichtung der einen mit Verdünnung der anderen fortwährend zusammentrifft.","orig_tok":["Nach","der","Undulationstheorie","legten","wir","den","Aetherwellen","eine","abwechſelnde","Verduͤnnung","und","Verdichtung","bei",",","und","machten","die","Bemerkung",",","daß","zwei","Lichtſtrahlen","ſich","verſtaͤrken",",","wenn","die","Verdichtung","in","der","einen","Lichtwelle","mit","der","Verdichtung","in","der","andern","zuſammentrifft",";","aber","wir","muͤſſen","offenbar","auch","hinzufuͤgen",",","daß","eine","Interferenz",",","eine","gegenſeitige","Zerſtoͤrung","der","Wellen","eintreten","kann",",","wenn","Verdichtung","der","einen","mit","Verduͤnnung","der","andern","fortwaͤhrend","zuſammentrifft","."],"norm_tok":["Nach","der","Undulationstheorie","legten","wir","den","Ätherwellen","eine","abwechselnde","Verdünnung","und","Verdichtung","bei",",","und","machten","die","Bemerkung",",","dass","zwei","Lichtstrahlen","sich","verstärken",",","wenn","die","Verdichtung","in","der","einen","Lichtwelle","mit","der","Verdichtung","in","der","anderen","zusammentrifft",";","aber","wir","müssen","offenbar","auch","hinzufügen",",","dass","eine","Interferenz",",","eine","gegenseitige","Zerstörung","der","Wellen","eintreten","kann",",","wenn","Verdichtung","der","einen","mit","Verdünnung","der","anderen","fortwährend","zusammentrifft","."],"orig_spans":[[0,4],[5,8],[9,27],[28,34],[35,38],[39,42],[43,55],[56,60],[61,73],[74,85],[86,89],[90,101],[102,105],[105,106],[107,110],[111,118],[119,122],[123,132],[132,133],[134,137],[138,142],[143,156],[157,161],[162,173],[173,174],[175,179],[180,183],[184,195],[196,198],[199,202],[203,208],[209,219],[220,223],[224,227],[228,239],[240,242],[243,246],[247,253],[254,268],[268,269],[270,274],[275,278],[279,286],[287,295],[296,300],[301,312],[312,313],[314,317],[318,322],[323,334],[334,335],[336,340],[341,353],[354,365],[366,369],[370,376],[377,386],[387,391],[391,392],[393,397],[398,409],[410,413],[414,419],[420,423],[424,435],[436,439],[440,446],[447,459],[460,474],[474,475]],"norm_spans":[[0,4],[5,8],[9,27],[28,34],[35,38],[39,42],[43,54],[55,59],[60,72],[73,83],[84,87],[88,99],[100,103],[103,104],[105,108],[109,116],[117,120],[121,130],[130,131],[132,136],[137,141],[142,155],[156,160],[161,171],[171,172],[173,177],[178,181],[182,193],[194,196],[197,200],[201,206],[207,217],[218,221],[222,225],[226,237],[238,240],[241,244],[245,252],[253,267],[267,268],[269,273],[274,277],[278,284],[285,293],[294,298],[299,309],[309,310],[311,315],[316,320],[321,332],[332,333],[334,338],[339,351],[352,362],[363,366],[367,373],[374,383],[384,388],[388,389],[390,394],[395,406],[407,410],[411,416],[417,420],[421,431],[432,435],[436,443],[444,455],[456,470],[470,471]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.659699916839599} 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+{"basename":"brandes_naturlehre02_1831","par_idx":2239,"date":1831,"orig":"Da wo ſo ſehr nahe an einander zwei zuruͤckgehende Wellen an zwei nur um wenige Milliontel eines Zolles von einander entfernten Oberflaͤchen entſtehen, da kann dieſe Verſtaͤrkung ſowohl als dieſe Ausloͤſchung ſichtbar werden, und die Erklaͤrung der Farbenringe liegt hier ſehr nahe.","norm":"Da wo so sehr nahe aneinander zwei zurückgehende Wellen an zwei nur um wenige Milliontele eines Zolles voneinander entfernten Oberflächen entstehen, da kann diese Verstärkung sowohl als diese Auslöschung sichtbar werden, und die Erklärung der Farbenringe liegt hier sehr nahe.","orig_tok":["Da","wo","ſo","ſehr","nahe","an","einander","zwei","zuruͤckgehende","Wellen","an","zwei","nur","um","wenige","Milliontel","eines","Zolles","von","einander","entfernten","Oberflaͤchen","entſtehen",",","da","kann","dieſe","Verſtaͤrkung","ſowohl","als","dieſe","Ausloͤſchung","ſichtbar","werden",",","und","die","Erklaͤrung","der","Farbenringe","liegt","hier","ſehr","nahe","."],"norm_tok":["Da","wo","so","sehr","nahe","aneinander","zwei","zurückgehende","Wellen","an","zwei","nur","um","wenige","Milliontele","eines","Zolles","voneinander","entfernten","Oberflächen","entstehen",",","da","kann","diese","Verstärkung","sowohl","als","diese","Auslöschung","sichtbar","werden",",","und","die","Erklärung","der","Farbenringe","liegt","hier","sehr","nahe","."],"orig_spans":[[0,2],[3,5],[6,8],[9,13],[14,18],[19,21],[22,30],[31,35],[36,50],[51,57],[58,60],[61,65],[66,69],[70,72],[73,79],[80,90],[91,96],[97,103],[104,107],[108,116],[117,127],[128,140],[141,150],[150,151],[152,154],[155,159],[160,165],[166,178],[179,185],[186,189],[190,195],[196,208],[209,217],[218,224],[224,225],[226,229],[230,233],[234,244],[245,248],[249,260],[261,266],[267,271],[272,276],[277,281],[281,282]],"norm_spans":[[0,2],[3,5],[6,8],[9,13],[14,18],[19,29],[30,34],[35,48],[49,55],[56,58],[59,63],[64,67],[68,70],[71,77],[78,89],[90,95],[96,102],[103,114],[115,125],[126,137],[138,147],[147,148],[149,151],[152,156],[157,162],[163,174],[175,181],[182,185],[186,191],[192,203],[204,212],[213,219],[219,220],[221,224],[225,228],[229,238],[239,242],[243,254],[255,260],[261,265],[266,270],[271,275],[275,276]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,5],[7,6],[8,7],[9,8],[10,9],[11,10],[12,11],[13,12],[14,13],[15,14],[16,15],[17,16],[18,17],[19,17],[20,18],[21,19],[22,20],[23,21],[24,22],[25,23],[26,24],[27,25],[28,26],[29,27],[30,28],[31,29],[32,30],[33,31],[34,32],[35,33],[36,34],[37,35],[38,36],[39,37],[40,38],[41,39],[42,40],[43,41],[44,42]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.736700057983398} 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vermoͤge der eindringenden Welle entſteht, leidet dabei nur eine geringe Schwaͤchung.","norm":"Nehmen wir dieses an, so entsteht erstlich eine Interferenz da, wo beide Oberflächen der dünnen Luftschichte einander so nahe sind, dass ihr Abstand selbst gegen die geringe Länge einer Lichtwelle unbedeutend ist; denn hier geht an der ersten Fläche die Welle, die sich um eine halbe Undulation verändert hat, und an der zweiten die unveränderte Welle zurück; war also der antreffende Teil der Welle ein verdichteter, so geht dort ein verdünnter, hier ein verdichteter zurück, und weil diese sich gänzlich ausgleichen, so geht gar keine Erleuchtung bewirkende Lichtwelle zurück, indem bei dem antreffenden verdünnenden Wellenteile und so bei jedem einzelnen Teile der Welle die beiden neu entstehenden Wellen sich ebenso zerstören; — da also, wo die Glasflächen einander berühren, erhält das Auge kein zurückgeworfenes Licht, weil die zwei Wellen sich zerstören; das durchgelassene Licht, welches vermöge der eindringenden Welle entsteht, leidet dabei nur eine geringe 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+{"basename":"brandes_naturlehre02_1831","par_idx":2245,"date":1831,"orig":"Um dies deutlich zu uͤberſehen, wollen wir die Wellenlaͤnge in vier Theile zerlegen, und die Grenze derſelben als den am meiſten verdichteten, mittlern, am meiſten verduͤnnten, mittlern Theil bezeichnen.","norm":"Um dies deutlich zu übersehen, wollen wir die Wellenlänge in vier Teile zerlegen, und die Grenze derselben als den am meisten verdichteten, mittleren, am meisten verdünnten, mittleren Teil 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+{"basename":"brandes_naturlehre02_1831","par_idx":2246,"date":1831,"orig":"Da nun die vordringende und die vom feſten Koͤrper, hier von der zweiten Oberflaͤche der Luftſchichte, reflectirte Welle ſich in Ruͤckſicht der Ordnung dieſer Theile nicht aͤndern, die an der erſten Oberflaͤche der Luftſchichte zuruͤckgehende dagegen gleichſam ploͤtzlich in das Entgegengeſetzte des Zuſtandes uͤbergeht; ſo iſt leicht zu uͤberſehen, daß fuͤr eine Dicke = ¼ Wellenlaͤnge, der eindringende am meiſten verdichtete Theil die zweite Seite der Luftſchichte erreicht, wenn der von mittlerer Dichtigkeit an der erſten Seite eindringt, daß der am meiſten verdichtete Theil wieder durch die erſte Oberflaͤche zuruͤckgeht, wenn der am meiſten verduͤnnte Theil dort antrifft und dort eine ruͤckgehende Welle erregt, die ſogleich mit ihrem am meiſten verdichteten Theile in eben dem Momente hier ausgeht; ſo gehen alſo nun zwei verdichtete Wellentheile, die einen verſtaͤrkten Eindruck bewirken, zugleich von hier aus, und geben dem die reflectirten Strahlen empfangenden Auge den Anblick einer Licht-Erſcheinung oder einer Farben-Erſcheinung.","norm":"Da nun die vordringende und die vom festen Körper, hier von der zweiten Oberfläche der Luftschichte, reflektierte Welle sich in Rücksicht der Ordnung dieser Teile nicht ändern, die an der ersten Oberfläche der Luftschichte zurückgehende dagegen gleichsam plötzlich in das Entgegengesetzte des Zustandes übergeht; so ist leicht zu übersehen, dass für eine Dicke = ¼ Wellenlänge, der eindringende am meisten verdichtete Teil die zweite Seite der Luftschichte erreicht, wenn der von mittlerer Dichtigkeit an der ersten Seite eindringt, dass der am meisten verdichtete Teil wieder durch die erste Oberfläche zurückgeht, wenn der am meisten verdünnte Teil dort antrifft und dort eine rückgehende Welle erregt, die sogleich mit ihrem am meisten verdichteten Teile in eben dem Momente hier ausgeht; so gehen also nun zwei verdichtete Wellenteile, die einen verstärkten 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+{"basename":"brandes_naturlehre02_1831","par_idx":2255,"date":1831,"orig":"Hier iſt der von der erſten Oberflaͤche beim zweiten Antreffen an dieſelbe reflectirte Wellentheil genau um eine ganze Wellenlaͤnge dem gradezu durchgehenden voraus geweſen, es treffen alſo ein nach zweimaliger Zuruͤckwerfung am feſten Koͤrper in der zweiten Oberflaͤche ankommender und ein gradezu durchgehender ganz gleicher Wellentheil zuſammen, und das Auge ſieht hier verſtaͤrktes Licht.","norm":"Hier ist der von der ersten Oberfläche beim zweiten Antreffen an dieselbe reflektierte Wellenteil genau um eine ganze Wellenlänge dem geradezu durchgehenden voraus gewesen, es treffen also ein nach zweimaliger Zurückwerfung am festen Körper in der zweiten Oberfläche ankommender und ein geradezu durchgehender ganz gleicher Wellenteil zusammen, und das Auge sieht hier verstärktes 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+{"basename":"brandes_naturlehre02_1831","par_idx":2256,"date":1831,"orig":"Wenn die duͤnne Schichte keine Luftſchichte iſt, ſondern eine Waſſerſchichte, ſo haben die Lichtwellen nur ¾ der Laͤnge, die ſie in der Luft hatten, indem, wie Sie fruͤher geſehen haben, das Brechungsverhaͤltniß 1 zu ¾, wie es bei Luft und Waſſer ſtatt findet, eben daher entſteht, weil die Geſchwindigkeit des Lichtes von 1 auf ¾ abnimmt.","norm":"Wenn die dünne Schicht keine Luftschichte ist, sondern eine Wasserschichte, so haben die Lichtwellen nur ¾ der Länge, die sie in der Luft hatten, indem, wie Sie früher gesehen haben, das Brechungsverhältnis 1 zu ¾, wie es bei Luft und Wasser stattfindet, eben daher entsteht, weil die Geschwindigkeit des Lichtes von 1 auf ¾ 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+{"basename":"brandes_naturlehre02_1831","par_idx":2257,"date":1831,"orig":"Die Lichtwellen von einerlei Farbe behalten aber gleiche Zeitperiode, ihre Laͤnge nimmt alſo auf ¾ ab, und die Interferenzen finden dieſen kleineren Wellenlaͤngen entſprechend ſtatt; und grade ſo ergeben es ſchon die Newton'ſchen Meſſungen der Ringe.","norm":"Die Lichtwellen von einerlei Farbe behalten aber gleiche Zeitperiode, ihre Länge nimmt also auf ¾ ab, und die Interferenzen finden diesen kleineren Wellenlängen entsprechend statt; und gerade so ergeben es schon die Newton'schen Messungen der 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+{"basename":"brandes_naturlehre02_1831","par_idx":2258,"date":1831,"orig":"Schwieriger wuͤrde es ſein, hier den Grund nachzuweiſen, warum die Halbmeſſer der Ringe bei ſchiefem Durchgange der Strahlen ſich vergroͤßern, und da ich ohnehin ſchon ſo lange hiebei verweile, ſo will ich mich bloß auf Fresnel's Autoritaͤt, daß die Theorie der Undulationen dieſes erklaͤre, berufen.","norm":"Schwieriger würde es sein, hier den Grund nachzuweisen, warum die Halbmesser der Ringe bei schiefem Durchgegangen der Strahlen sich vergrößern, und da ich ohnehin schon so lange hierbei verweile, so will ich mich bloß auf Fresnels Autorität, dass die Theorie der Undulationen dieses erkläre, 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+{"basename":"brandes_naturlehre02_1831","par_idx":2259,"date":1831,"orig":"Ich habe bisher nur von einer beſtimmten Wellenlaͤnge geſprochen, aber Sie wiſſen ſchon, daß wir jedem Farbenſtrahle eine eigenthuͤmliche Wellenlaͤnge zuſchreiben und uͤberſehen nun auch, daß die mit jedem einzelnen Farbenſtrahle angeſtellten Experimente uns dieſe verſchiedenen Wellenlaͤngen kennen lehren.","norm":"Ich habe bisher nur von einer bestimmten Wellenlänge gesprochen, aber Sie wissen schon, dass wir jedem Farbenstrahl eine eigentümliche Wellenlänge zuschreiben und übersehen nun auch, dass die mit jedem einzelnen Farbenstrahl angestellten Experimente uns diese verschiedenen Wellenlängen kennen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2260,"date":1831,"orig":"Jene 4 Milliontel Zoll fuͤr die aͤußerſten violetten, und 6⅜ Milliontel Zoll fuͤr die aͤußerſten rothen Strahlen ſind das Viertel der Wellenlaͤnge, ſo daß ich nun nach Herſchel's Beſtimmung 26,6 Milliontel fuͤr das aͤußerſte Roth, 21,9 fuͤr die an der Grenze des Gelb und Gruͤn 16,7 fuͤr die an der Grenze des aͤußerſten Violett liegenden Strahlen als ganze Wellenlaͤnge angeben kann.","norm":"Jene 4 Milliontele Zoll für die äußersten violetten, und 6 3/8 Milliontele Zoll für die äußersten roten Strahlen sind das Viertel der Wellenlänge, so dass ich nun nach Herschels Bestimmung 26,6 Milliontele für das äußerste Rot, 21,9 für die an der Grenze des Gelb und Grün 16,7 für die an der Grenze des äußersten Violett liegenden Strahlen als ganze Wellenlänge angeben 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+{"basename":"brandes_naturlehre02_1831","par_idx":2261,"date":1831,"orig":"Von der erſten Art Wellen kommen 37640, von der letztern 59750 auf 1 Zoll, und 458 Billionen fuͤr die erſten, 727 Billionen fuͤr die letzten, geben die Zahl der Vibrationen in einer Secunde an.","norm":"Von der ersten Art Wellen kommen 37640, von der letzteren 59750 auf 1 Zoll, und 458 Billionen für die ersten, 727 Billionen für die letzten, geben die Zahl der Vibrationen in einer Sekunde 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+{"basename":"brandes_naturlehre02_1831","par_idx":2262,"date":1831,"orig":"— Sie werden in der Folge ſehen, daß die Schluͤſſe der Undulationstheorie uns noch zu andern hiemit uͤbereinſtimmenden Angaben fuͤr die Wellenlaͤnge der verſchiedenen Farbenſtrahlen fuͤhren; und ſo wenig wir es vergeſſen duͤrfen, daß dieſe Theorie uͤber die ungleiche Brechung der verſchiedenen Farben keinen genuͤgenden Aufſchluß giebt, und daß nach ihr die ungleichen Grade der Farbenzerſtreuung voͤllig unerklaͤrt bleiben; ſo muͤſſen wir doch geſtehen, daß in den eben durchgefuͤhrten Betrachtungen und in denen uͤber die Beugung des Lichtes, worauf ich bald komme, eine große Empfehlung dieſer Theorie liegt.","norm":"— Sie werden in der Folge sehen, dass die Schlüsse der Undulationstheorie uns noch zu anderen hiermit übereinstimmenden Angaben für die Wellenlänge der verschiedenen Farbenstrahlen führen; und so wenig wir es vergessen dürfen, dass diese Theorie über die ungleiche Brechung der verschiedenen Farben keinen genügenden Aufschluss gibt, und dass nach ihr die ungleichen Grade der Farbenzerstreuung völlig unerklärt bleiben; so m��ssen wir doch gestehen, dass in den eben durchgeführten Betrachtungen und in denen über die Beugung des Lichtes, worauf ich bald komme, eine große Empfehlung dieser Theorie 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Lichtſtrahlen von AB nach O, obgleich der ganze Raum zwiſchen E und F im Schatten liegen ſollte; ſie werden alſo bei C, D, gebeugt, von ihrer graden Richtung abgelenkt.","norm":"Hier kommen also (Fig. 118 .) Lichtstrahlen von AB nach O, obgleich der ganze Raum zwischen E und F im Schatten liegen sollte; sie werden also bei C, D, gebeugt, von ihrer geraden Richtung 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+{"basename":"brandes_naturlehre02_1831","par_idx":2292,"date":1831,"orig":"Daraus entſteht, wenn man einen ſchmalen Spalt vor dem Auge gegen die Lichtflamme haͤlt, die Erſcheinung dunkler und heller Linien, parallel mit den Seiten des Spalts, und endlich, wenn dieſer einen gewiſſen Grad von Engheit erreicht, eine dunkle Linie in der Mitte, wo doch grade das Licht am freieſten ſcheint durchgehen zu muͤſſen.","norm":"Daraus entsteht, wenn man einen schmalen Spalt vor dem Auge gegen die Lichtflamme hält, die Erscheinung dunkler und heller Linien, parallel mit den Seiten des Spalts, und endlich, wenn dieser einen gewissen Grad von Engheit erreicht, eine dunkle Linie in der Mitte, wo doch gerade das Licht am freisten scheint durchgehen zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2293,"date":1831,"orig":"Verſuche im dunkeln Zimmer.","norm":"Versuche im dunklen Zimmer.","orig_tok":["Verſuche","im","dunkeln","Zimmer","."],"norm_tok":["Versuche","im","dunklen","Zimmer","."],"orig_spans":[[0,8],[9,11],[12,19],[20,26],[26,27]],"norm_spans":[[0,8],[9,11],[12,19],[20,26],[26,27]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.938300132751465} +{"basename":"brandes_naturlehre02_1831","par_idx":2294,"date":1831,"orig":"Alle dieſe Erſcheinungen gehoͤren zu denen, die man der Beugung des Lichtes zuſchreibt; aber wenn man ſie ſo beobachtet, ſo kann man dem Zweifel, welchen Antheil die Undeutlichkeit des Sehens hieran hat, nicht ganz ausweichen, und es iſt daher wichtig, die Erſcheinungen auf einer weißen Tafel wahrzunehmen, welches nur im dunkeln Zimmer gut geſchehen kann.","norm":"Alle diese Erscheinungen gehören zu denen, die man 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+{"basename":"brandes_naturlehre02_1831","par_idx":2298,"date":1831,"orig":"Man bedient ſich am beſten hiezu zweier in eine grade Schaͤrfe endigender Metallplatten, deren Raͤnder entweder parallel oder gegen einander geneigt einander genaͤhert werden koͤnnen.","norm":"Man bedient sich am besten hierzu zweier in eine gerade Schärfe endigender Metallplatten, deren Ränder entweder parallel oder gegen einander geneigt einander genähert werden 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+{"basename":"brandes_naturlehre02_1831","par_idx":2299,"date":1831,"orig":"Iſt hier die Entfernung beider Schaͤrfen noch ziemlich groß, ſo zeigt ſich, in jenem beſchraͤnkten Sonnenſtrahle gehalten, der Schatten beider Schaͤrfen mit hellen Linien umgeben; bei groͤßerer Annaͤherung bemerkt man, wenn der Schatten in nicht allzu geringer Entfernung hinter dem Spalte auf einer Tafel aufgefangen wird, deutlich, daß dieſe den Schatten umgebenden Linien farbig ſind, und immer mehr ſich von der Schattengrenze entfernen; ruͤcken die Schaͤrfen einander noch naͤher, ſo ruͤcken die farbigen Linien, die dem einen Schatten angehoͤren, in den andern Schatten hinein.","norm":"Ist hier die Entfernung beider Schärfen noch ziemlich groß, so zeigt sich, in jenem beschränkten Sonnenstrahl gehalten, der Schatten beider Schärfen mit hellen Linien umgeben; bei größerer Annäherung bemerkt man, wenn der Schatten in nicht allzu geringer Entfernung hinter dem Spalte auf einer Tafel aufgefangen wird, deutlich, dass diese den Schatten umgebenden Linien farbig sind, und immer mehr sich von der Schattengrenze entfernen; rücken die Schärfen einander noch näher, so rücken die farbigen Linien, die dem einen Schatten angehören, in den anderen Schatten 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+{"basename":"brandes_naturlehre02_1831","par_idx":2300,"date":1831,"orig":"Wenn die Schaͤrfen einander bis ungefaͤhr auf ¼ Linie nahe gekommen ſind, ſo hat der erhellte Raum zwiſchen den beiden Schatten ſeine geringſte Breite erreicht, und bei noch geringerm Abſtande verbreitert er ſich wieder, erhaͤlt aber dann eine dunkle Schattenlinie in der Mitte.","norm":"Wenn die Schärfen einander bis ungefähr auf ¼ Linie nahe gekommen sind, so hat der erhellte Raum zwischen den beiden Schatten seine geringste Breite erreicht, und bei noch geringerem Abstande verbreitert er sich wieder, erhält aber dann eine dunkle Schattenlinie in der 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+{"basename":"brandes_naturlehre02_1831","par_idx":2301,"date":1831,"orig":"Wenn man dieſe Erſcheinungen auf der weißen Tafel einmal geſehen hat, ſo iſt man hinreichend uͤberzeugt, daß nicht etwa nur eine Taͤuſchung durch undeutliches Sehen ſtatt findet, und kann ſich dann die Erſcheinungen ſchoͤner verſchaffen, wenn man die Schatten auf ein matt geſchliffenes Glas fallen laͤßt, und dieſes mit einer Vergroͤßerungslinſe von der Hinterſeite her betrachtet; ja wenn man dies mit Aufmerkſamkeit thut, ſo ſieht man, daß es gar nicht erſt noͤthig iſt, die Schatten und Farbenraͤnder auf dem matten Glaſe aufzufangen, ſondern die Linſe zeigt, auch unmittelbar die Strahlen auffangend, die Erſcheinung dem Auge ſo, wie ſie auf einem in ihrem Brennpuncte gehaltenen matten Glaſe oder auf einer im Brennpuncte gehaltenen andern Tafel erſcheinen wuͤrden, und man hat den Vortheil, hier durch die directen Strahlen eine viel ſchoͤnere Farben-Erſcheinung zu erhalten, als die iſt, die ſich auf dem matt 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+{"basename":"brandes_naturlehre02_1831","par_idx":2306,"date":1831,"orig":"Dieſe aus dem weißen Lichte hervorgehende Faͤrbung laͤßt ſchon vermuthen, daß man auch hier die Erſcheinung einfacher ſehen muß, wenn man die durch das Prisma getrennten Farbenſtrahlen einzeln auf den Zwiſchenraum zwiſchen beiden Metallplatten auffallen laͤßt, und ſchon Newton hat die Verſuche ſo angeſtellt, und gefunden, daß unter ſonſt gleichen Umſtaͤnden die Raͤnder im rothen Lichte am breiteſten, im violetten am ſchmalſten waren.","norm":"Diese aus dem weißen Lichte hervorgehende Färbung lässt schon vermuten, dass man auch hier die Erscheinung einfacher sehen muss, wenn man die durch das Prisma getrennten Farbenstrahlen einzeln auf den Zwischenraum zwischen beiden Metallplatten auffallen lässt, und schon Newton hat die Versuche so angestellt, und gefunden, dass unter sonst gleichen Umständen die Ränder im roten Lichte am breitesten, im violetten am schmalsten 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Entfernungen von dem Koͤrper annimmt; ſo wird doch die gegenſeitige Einwirkung der an beiden Seiten des Spaltes durchgehenden Strahlen gar nicht erklaͤrt, und auch die ganz gleiche Einwirkung aller Koͤrper bei der Beugung des Lichtes auf keine Weiſe mit ihrer ungleichen Einwirkung bei der Brechung in Verbindung gebracht.","norm":"Die Emissionstheorie hat keine recht genügende Erklärung für alle diese Erscheinungen und ebenso wenig für diejenigen, die ich bald noch weiter erwähnen werde, dargeboten; denn wenn man auch die Attractions- und Repulsionskräfte zugesteht, die an den Grenzen der Körper auf die Lichtteilchen einwirken und diese von ihrem Wege ablenken könnten; wenn man auch, was hier notwendig geschehen müsste, einen Wechsel dieser Kräfte in unmerklich kleinen Entfernungen von dem Körper annimmt; so wird doch die gegenseitige Einwirkung der an beiden Seiten des Spaltes durchgehenden Strahlen gar nicht erklärt, und auch die ganz gleiche Einwirkung aller Körper bei der Beugung des Lichtes auf keine Weise mit ihrer ungleichen Einwirkung bei der Brechung in Verbindung 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+{"basename":"brandes_naturlehre02_1831","par_idx":2314,"date":1831,"orig":"Es laͤßt ſich daher wohl nicht leugnen, daß die Emiſſionstheorie hier einen Mangel zeigt, ſtatt daß gerade einige hieher gehoͤrige Erſcheinungen ſo beſtimmt fuͤr die Undulationstheorie zu ſprechen ſcheinen, daß ſie zuerſt Young und Fresnel bewogen, ſich fuͤr dieſe Theorie zu erklaͤren.","norm":"Es lässt sich daher wohl nicht leugnen, dass die Emissionstheorie hier einen Mangel zeigt, statt dass gerade einige hierher gehörige Erscheinungen so bestimmt für die Undulationstheorie zu sprechen scheinen, dass sie zuerst Young und Fresnel bewogen, sich für diese Theorie zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2316,"date":1831,"orig":"Ein ſolcher Schatten naͤmlich zeigt nicht bloß die Raͤnder an der aͤußern Seite, ſondern, wenn der Koͤrper lang und ſchmal iſt, ſo iſt der Schatten ſelbſt ſeiner ganzen Laͤnge nach in Farbenſtreifen, die mit dunkeln Streifen abwechſeln, zerlegt.","norm":"Ein solcher Schatten nämlich zeigt nicht bloß die Ränder an der äußeren Seite, sondern, wenn der Körper lang und schmal ist, so ist der Schatten selbst seiner ganzen Länge nach in Farbenstreifen, die mit dunklen Streifen abwechseln, 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+{"basename":"brandes_naturlehre02_1831","par_idx":2330,"date":1831,"orig":"Aber nicht bloß dieſe oberflaͤchliche Zuſammenſtimmung zwiſchen der Theorie und der Erfahrung findet ſtatt, ſondern die Abmeſſung bei genauen Beobachtungen zeigt, daß die Unterſchiede der Wege DG, CG, ſo ſtrenge als die Schaͤrfe der Beobachtung es nur erlaubt, eben die Wellenlaͤngen angeben, die wir ſchon fruͤher aus andern Beſtimmungen gefunden haben.","norm":"Aber nicht bloß diese oberflächliche Zusammenstimmung zwischen der Theorie und der Erfahrung findet statt, sondern die Abmessung bei genauen Beobachtungen zeigt, dass die Unterschiede der Wege DG, CG, so strenge als die Schärfe der Beobachtung es nur erlaubt, eben die Wellenlängen angeben, die wir schon früher aus anderen Bestimmungen gefunden 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+{"basename":"brandes_naturlehre02_1831","par_idx":2332,"date":1831,"orig":"Wenn man die an dem ſchmalen Koͤrper CD (Fig. 118.) vorbei gegangenen Strahlen, welche bei EOF die Streifen im Schatten hervorbringen, etwa bei I ſo durch ein ſehr durchſichtiges Glas gehen laͤßt, daß die von D kommenden Strahlen durch das Glas gehen, waͤhrend die von C kommenden ungehindert nach EF gelangen; ſo aͤndert ſich die Lage der dunkeln und hellen Streifen, wenn das Glas ſehr duͤnne iſt, und ſie verſchwinden ganz, wenn es dicker iſt.","norm":"Wenn man die an dem schmalen Körper CD (Fig. 118.) vorbei gegangenen Strahlen, welche bei EOF die Streifen im Schatten hervorbringen, etwa bei I so durch ein sehr durchsichtiges Glas gehen lässt, dass die von D kommenden Strahlen durch das Glas gehen, während die von C kommenden ungehindert nach EF gelangen; so ändert sich die Lage der dunklen und hellen Streifen, wenn das Glas sehr dünne ist, und sie verschwinden ganz, wenn es dicker 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+{"basename":"brandes_naturlehre02_1831","par_idx":2379,"date":1831,"orig":"Auf dieſe Weiſe beſtimmt ſich die Richtung des gebeugten Lichtſtrahles nach aͤhnlichen Geſetzen wie fruͤher, und es wird nun bequem fuͤr den Ausdruck, zu ſagen, von jedem Faden A oder a des Gitters geht ein erſter, ein zweiter, ein dritter, gebeugter Strahl, ſo wie AB, AC, AD (Fig. 122.) andeuten, aus; eigentlich ſollte es heißen, in AB liegt die erſte Folge aller verſtaͤrkend zuſammentreffenden Wellen, in AC die zweite Reihe und ſo ferner; ab, ac, ad bedeuten eben das fuͤr einen andern Faden oder fuͤr eine andre undurchſichtige Linie des Gitters . Dieſe ſich verſtaͤrkenden Lichtwellen gewaͤhren alſo dem Auge in B die Empfindung eines nach der Richtung AB zu ihm gelangenden Lichtſtrahles, alſo eines um den Winkel SBA von dem leuchtenden Puncte entfernten Nebenbildes.","norm":"Auf diese Weise bestimmt sich die Richtung des gebeugten Lichtstrahles nach ähnlichen Gesetzen wie früher, und es wird nun bequem für den Ausdruck, zu sagen, von jedem Faden A oder a des Gitters geht ein erster, ein zweiter, ein dritter, gebeugter Strahl, so wie AB, AC, AD (Fig. 122.) andeuten, aus; eigentlich sollte es heißen, in AB liegt die erste Folge aller verstärkend zusammentreffenden Wellen, in AC die zweite Reihe und so ferner; ab, ac, ad bedeuten eben das für einen anderen Faden oder für eine andere undurchsichtige Linie des Gitters . Diese sich verstärkenden Lichtwellen gewähren also dem Auge in B die Empfindung eines nach der Richtung AB zu ihm gelangenden Lichtstrahles, also eines um den Winkel SBA von dem leuchtenden Punkte entfernten 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enthielte.","orig_tok":["Moͤglich","waͤre","es","indeß",",","daß","die","durch","den","Widerſtand","der","Luft","beſtimmte","Geſtalt","der","Regentropfen","einen","Grund","fuͤr","die","zur","Entſtehung","mehrerer","Bogen","noͤthige","Form","enthielte","."],"norm_tok":["Möglich","wäre","es","indes",",","dass","die","durch","den","Widerstand","der","Luft","bestimmte","Gestalt","der","Regentropfen","einen","Grund","für","die","zur","Entstehung","mehrerer","Bogen","nötige","Form","enthielte","."],"orig_spans":[[0,8],[9,14],[15,17],[18,23],[23,24],[25,28],[29,32],[33,38],[39,42],[43,53],[54,57],[58,62],[63,72],[73,80],[81,84],[85,97],[98,103],[104,109],[110,114],[115,118],[119,122],[123,133],[134,142],[143,148],[149,157],[158,162],[163,172],[172,173]],"norm_spans":[[0,7],[8,12],[13,15],[16,21],[21,22],[23,27],[28,31],[32,37],[38,41],[42,52],[53,56],[57,61],[62,71],[72,79],[80,83],[84,96],[97,102],[103,108],[109,112],[113,116],[117,120],[121,131],[132,140],[141,146],[147,153],[154,158],[159,168],[168,169]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.800099849700928} +{"basename":"brandes_naturlehre02_1831","par_idx":2410,"date":1831,"orig":"Indeß, obgleich wir uͤber die ganz genaue Form der Regentropfen ununterrichtet ſind, ſo ſcheint es mir doch glaublicher, daß man die Wiederholung der Farben Gruͤn und Violett, die ſogar oͤfter als zweimal ſcheint vorkommen zu koͤnnen, aus einem andern Umſtande erklaͤren muͤſſe.","norm":"Indes, obgleich wir über die ganz genaue Form der Regentropfen ununterrichtet sind, so scheint es mir doch glaublicher, dass man die Wiederholung der Farben Grün und Violett, die sogar öfter als zweimal scheint vorkommen zu können, aus einem anderen Umstande erklären müsse.","orig_tok":["Indeß",",","obgleich","wir","uͤber","die","ganz","genaue","Form","der","Regentropfen","ununterrichtet","ſind",",","ſo","ſcheint","es","mir","doch","glaublicher",",","daß","man","die","Wiederholung","der","Farben","Gruͤn","und","Violett",",","die","ſogar","oͤfter","als","zweimal","ſcheint","vorkommen","zu","koͤnnen",",","aus","einem","andern","Umſtande","erklaͤren","muͤſſe","."],"norm_tok":["Indes",",","obgleich","wir","über","die","ganz","genaue","Form","der","Regentropfen","ununterrichtet","sind",",","so","scheint","es","mir","doch","glaublicher",",","dass","man","die","Wiederholung","der","Farben","Grün","und","Violett",",","die","sogar","öfter","als","zweimal","scheint","vorkommen","zu","können",",","aus","einem","anderen","Umstande","erklären","müsse","."],"orig_spans":[[0,5],[5,6],[7,15],[16,19],[20,25],[26,29],[30,34],[35,41],[42,46],[47,50],[51,63],[64,78],[79,83],[83,84],[85,87],[88,95],[96,98],[99,102],[103,107],[108,119],[119,120],[121,124],[125,128],[129,132],[133,145],[146,149],[150,156],[157,162],[163,166],[167,174],[174,175],[176,179],[180,185],[186,192],[193,196],[197,204],[205,212],[213,222],[223,225],[226,233],[233,234],[235,238],[239,244],[245,251],[252,260],[261,270],[271,277],[277,278]],"norm_spans":[[0,5],[5,6],[7,15],[16,19],[20,24],[25,28],[29,33],[34,40],[41,45],[46,49],[50,62],[63,77],[78,82],[82,83],[84,86],[87,94],[95,97],[98,101],[102,106],[107,118],[118,119],[120,124],[125,128],[129,132],[133,145],[146,149],[150,156],[157,161],[162,165],[166,173],[173,174],[175,178],[179,184],[185,190],[191,194],[195,202],[203,210],[211,220],[221,223],[224,230],[230,231],[232,235],[236,241],[242,249],[250,258],[259,267],[268,273],[273,274]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.35860013961792} +{"basename":"brandes_naturlehre02_1831","par_idx":2411,"date":1831,"orig":"Wenn naͤmlich zur Zeit des Entſtehens eines Regenbogens zugleich ein hinreichend lebhafter Farbenring, ein Hof um die Sonne erſchiene, ſo muͤßten Nebenbogen erſcheinen, und dieſe vorzuͤglich an der innern Seite und aus Gruͤn, Blau und Violett beſtehend.","norm":"Wenn nämlich zur Zeit des Entstehens eines Regenbogens zugleich ein hinreichend lebhafter Farbenring, ein Hof um die Sonne erschiene, so müssten Nebenbogen erscheinen, und diese vorzüglich an der inneren Seite und aus Grün, Blau und Violett bestehend.","orig_tok":["Wenn","naͤmlich","zur","Zeit","des","Entſtehens","eines","Regenbogens","zugleich","ein","hinreichend","lebhafter","Farbenring",",","ein","Hof","um","die","Sonne","erſchiene",",","ſo","muͤßten","Nebenbogen","erſcheinen",",","und","dieſe","vorzuͤglich","an","der","innern","Seite","und","aus","Gruͤn",",","Blau","und","Violett","beſtehend","."],"norm_tok":["Wenn","nämlich","zur","Zeit","des","Entstehens","eines","Regenbogens","zugleich","ein","hinreichend","lebhafter","Farbenring",",","ein","Hof","um","die","Sonne","erschiene",",","so","müssten","Nebenbogen","erscheinen",",","und","diese","vorzüglich","an","der","inneren","Seite","und","aus","Grün",",","Blau","und","Violett","bestehend","."],"orig_spans":[[0,4],[5,13],[14,17],[18,22],[23,26],[27,37],[38,43],[44,55],[56,64],[65,68],[69,80],[81,90],[91,101],[101,102],[103,106],[107,110],[111,113],[114,117],[118,123],[124,133],[133,134],[135,137],[138,145],[146,156],[157,167],[167,168],[169,172],[173,178],[179,190],[191,193],[194,197],[198,204],[205,210],[211,214],[215,218],[219,224],[224,225],[226,230],[231,234],[235,242],[243,252],[252,253]],"norm_spans":[[0,4],[5,12],[13,16],[17,21],[22,25],[26,36],[37,42],[43,54],[55,63],[64,67],[68,79],[80,89],[90,100],[100,101],[102,105],[106,109],[110,112],[113,116],[117,122],[123,132],[132,133],[134,136],[137,144],[145,155],[156,166],[166,167],[168,171],[172,177],[178,188],[189,191],[192,195],[196,203],[204,209],[210,213],[214,217],[218,222],[222,223],[224,228],[229,232],[233,240],[241,250],[250,251]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.916900157928467} +{"basename":"brandes_naturlehre02_1831","par_idx":2412,"date":1831,"orig":"Um dies zu uͤberſehen, muß ich Sie zuerſt daran erinnern, daß der rothe Bogen des Hauptregenbogens 42½, der violette Bogen 40½ Grad, alſo der gruͤne etwa 41½ Grad Halbmeſſer hatte; und nun koͤnnen wir fragen, wie wuͤrden ſich die Erſcheinungen verhalten, wenn oberhalb und unterhalb der Sonne zuerſt nur kleine Theile farbiger Ringe ſtaͤnden.","norm":"Um dies zu übersehen, muss ich Sie zuerst daran erinnern, dass der rote Bogen des Hauptregenbogens 421/2, der violette Bogen 401/2 Grad, also der grüne etwa 411/2 Grad Halbmesser hatte; und nun können wir fragen, wie würden sich die Erscheinungen verhalten, wenn oberhalb und unterhalb der Sonne zuerst nur kleine Teile farbiger Ringe ständen.","orig_tok":["Um","dies","zu","uͤberſehen",",","muß","ich","Sie","zuerſt","daran","erinnern",",","daß","der","rothe","Bogen","des","Hauptregenbogens","42½",",","der","violette","Bogen","40½","Grad",",","alſo","der","gruͤne","etwa","41½","Grad","Halbmeſſer","hatte",";","und","nun","koͤnnen","wir","fragen",",","wie","wuͤrden","ſich","die","Erſcheinungen","verhalten",",","wenn","oberhalb","und","unterhalb","der","Sonne","zuerſt","nur","kleine","Theile","farbiger","Ringe","ſtaͤnden","."],"norm_tok":["Um","dies","zu","übersehen",",","muss","ich","Sie","zuerst","daran","erinnern",",","dass","der","rote","Bogen","des","Hauptregenbogens","421","/","2",",","der","violette","Bogen","401","/","2","Grad",",","also","der","grüne","etwa","411","/","2","Grad","Halbmesser","hatte",";","und","nun","können","wir","fragen",",","wie","würden","sich","die","Erscheinungen","verhalten",",","wenn","oberhalb","und","unterhalb","der","Sonne","zuerst","nur","kleine","Teile","farbiger","Ringe","ständen","."],"orig_spans":[[0,2],[3,7],[8,10],[11,21],[21,22],[23,26],[27,30],[31,34],[35,41],[42,47],[48,56],[56,57],[58,61],[62,65],[66,71],[72,77],[78,81],[82,98],[99,102],[102,103],[104,107],[108,116],[117,122],[123,126],[127,131],[131,132],[133,137],[138,141],[142,148],[149,153],[154,157],[158,162],[163,173],[174,179],[179,180],[181,184],[185,188],[189,196],[197,200],[201,207],[207,208],[209,212],[213,220],[221,225],[226,229],[230,243],[244,253],[253,254],[255,259],[260,268],[269,272],[273,282],[283,286],[287,292],[293,299],[300,303],[304,310],[311,317],[318,326],[327,332],[333,341],[341,342]],"norm_spans":[[0,2],[3,7],[8,10],[11,20],[20,21],[22,26],[27,30],[31,34],[35,41],[42,47],[48,56],[56,57],[58,62],[63,66],[67,71],[72,77],[78,81],[82,98],[99,102],[102,103],[103,104],[104,105],[106,109],[110,118],[119,124],[125,128],[128,129],[129,130],[131,135],[135,136],[137,141],[142,145],[146,151],[152,156],[157,160],[160,161],[161,162],[163,167],[168,178],[179,184],[184,185],[186,189],[190,193],[194,200],[201,204],[205,211],[211,212],[213,216],[217,223],[224,228],[229,232],[233,246],[247,256],[256,257],[258,262],[263,271],[272,275],[276,285],[286,289],[290,295],[296,302],[303,306],[307,313],[314,319],[320,328],[329,334],[335,342],[342,343]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[null,19],[null,20],[19,21],[20,22],[21,23],[22,24],[23,25],[null,26],[null,27],[24,28],[25,29],[26,30],[27,31],[28,32],[29,33],[30,34],[null,35],[null,36],[31,37],[32,38],[33,39],[34,40],[35,41],[36,42],[37,43],[38,44],[39,45],[40,46],[41,47],[42,48],[43,49],[44,50],[45,51],[46,52],[47,53],[48,54],[49,55],[50,56],[51,57],[52,58],[53,59],[54,60],[55,61],[56,62],[57,63],[58,64],[59,65],[60,66],[61,67]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.265600204467773} +{"basename":"brandes_naturlehre02_1831","par_idx":2413,"date":1831,"orig":"Ich will fuͤr dieſe Ringe die Abſtaͤnde = 1° fuͤr das erſte Roth, 1¼° fuͤr das erſte Gruͤn, 1½ Grad fuͤr das erſte Violett, 1¾° fuͤr das zweite Roth annehmen, und dieſe Theile der Ringe als kleine farbige Sonnen oberhalb und unterhalb der wahren Sonne anſehen.","norm":"Ich will für diese Ringe die Abstände = 1 ° für das erste Rot, 11/4 ° für das erste Grün, 11/2 Grad für das erste Violett, 13/4 ° für das zweite Rot annehmen, und diese Teile der Ringe als kleine farbige Sonnen oberhalb und unterhalb der wahren Sonne 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+{"basename":"brandes_naturlehre02_1831","par_idx":2414,"date":1831,"orig":"Stellen nun (Fig. 123.) ab, cd, ef die drei genannten Farben des Hauptbogens dar, ſo giebt die obenſtehende rothe Sonne einen rothen Bogen, der 1 Grad tiefer als ab liegt, die zweite oben ſtehende rothe Sonne einen Bogen, der 1¾ Grad tiefer als ab liegt; beide fallen in den Hauptbogen und ſind zu ſchwach, um ſich dort kenntlich zu machen; der gruͤne Bogen der erſten oberen gruͤnen Sonne liegt 1¼ Grad, der zweiten oberen gruͤnen Sonne etwa 2 Grad unter cd, alſo beide ſchon außerhalb des Hauptbogens bei gh; die violetten Bogen liegen 1½ Grad und 2¼ Grad unter dem violetten Bogen; und es iſt alſo der erſte gruͤne Bogen unter dem violetten Hauptbogen kenntlich, der erſte violette Bogen unter dem erſten gruͤnen; der zweite gruͤne nahe unter dem erſten violetten, der zweite violette noch tiefer.","norm":"Stellen nun (Fig. 123.) ab, cd, ef die drei genannten Farben des Hauptbogens dar, so gibt die obenstehende rote Sonne einen roten Bogen, der 1 Grad tiefer als abliegt, die zweite oben stehende rote Sonne einen Bogen, der 13/4 Grad tiefer als abliegt; beide fallen in den Hauptbogen und sind zu schwach, um sich dort kenntlich zu machen; der grüne Bogen der ersten oberen grünen Sonne liegt 11/4 Grad, der zweiten oberen grünen Sonne etwa 2 Grad unter cd, also beide schon außerhalb des Hauptbogens bei gh; die violetten Bogen liegen 11/2 Grad und 21/4 Grad unter dem violetten Bogen; und es ist also der erste grüne Bogen unter dem violetten Hauptbogen kenntlich, der erste violette Bogen unter dem ersten grünen; der zweite grüne nahe unter dem ersten violetten, der zweite violette noch 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zweiten violetten finden wir 21/4 Grad über ef mit dem ersten grünen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2418,"date":1831,"orig":"So ſchiene ſich alſo das Entſtehen von zwei innern Nebenbogen aus Gruͤn und Violett gut zu erklaͤren, wenn bloß oberhalb und unterhalb der Sonne jene Theile der Hoͤfe vorkaͤmen; da ſtatt deſſen aber ganze farbige Ringe angenommen werden muͤſſen, ſo ſollten ſich eigentlich unzaͤhlige, ſo wie gh, ik, lm, ſich in einander verlaufende gruͤne Bogen und ebenſolche violette Bogen bilden; es ſcheint mir ganz richtig, daß der vereinte Glanz derſelben einen mit ef gleichlaufenden Bogen bildet.","norm":"So schiene sich also das Entstehen von zwei inneren Nebenbogen aus Grün und Violett gut zu erklären, wenn bloß oberhalb und unterhalb der Sonne jene Teile der Höfe vorkämen; da stattdessen aber ganze farbige Ringe angenommen werden müssen, so sollten sich eigentlich unzählige, so wie gh, ik, lm, sich ineinander verlaufende grüne Bogen und ebensolche violette Bogen bilden; es scheint mir ganz richtig, dass der vereinte Glanz derselben einen mit ef gleichlaufenden Bogen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2419,"date":1831,"orig":"Der einzige Umſtand, der unerklaͤrt bliebe, waͤre alſo, warum dieſe Nebenbogen ſich nicht ganz bis zu dem unteren Theile des Regenbogens herab erſtrecken.","norm":"Der einzige Umstand, der unerklärt bliebe, wäre also, warum diese Nebenbogen sich nicht ganz bis zu dem unteren Teile des Regenbogens herab 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+{"basename":"brandes_naturlehre02_1831","par_idx":2420,"date":1831,"orig":"Doch da dieſe Erklaͤrung der Erſcheinung noch von andern Phyſikern nicht gepruͤft worden iſt, ſo uͤberlaſſe ich es Ihnen, zu beurtheilen, ob ſie Beifall verdient.","norm":"Doch da diese Erklärung der Erscheinung noch von anderen Physikern nicht geprüft worden ist, so überlasse ich es Ihnen, zu beurteilen, ob sie Beifall 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+{"basename":"brandes_naturlehre02_1831","par_idx":2421,"date":1831,"orig":"Farben-Erſcheinungen durch Zuruͤckwerfung.","norm":"Farbenerscheinungen durch Zurückwerfung.","orig_tok":["Farben-Erſcheinungen","durch","Zuruͤckwerfung","."],"norm_tok":["Farbenerscheinungen","durch","Zurückwerfung","."],"orig_spans":[[0,20],[21,26],[27,41],[41,42]],"norm_spans":[[0,19],[20,25],[26,39],[39,40]],"alignment":[[0,0],[1,1],[2,2],[3,3]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.458000183105469} +{"basename":"brandes_naturlehre02_1831","par_idx":2422,"date":1831,"orig":"Auch durch die Zuruͤckwerfung des Lichtes entſtehen Farben- Erſcheinungen, die auf aͤhnliche Weiſe, wie bei der Beugung, von Interferenzen abhaͤngen.","norm":"Auch durch die Zurückwerfung des Lichtes entstehen Farben-Erscheinungen, die auf ähnliche Weise, wie bei der Beugung, von Interferenzen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2426,"date":1831,"orig":"Iſt hier die ganze Flaͤche AB (Fig. 124.) gleich gut geeignet die Lichtwellen zu erregen, ſo entſteht, auf die fruͤher gezeigte Weiſe, die regelmaͤßige Reflexion; aber wenn dagegen nur ein ſehr kleiner Raum D, ſo klein, daß er ſelbſt in Vergleichung gegen die Kleinheit der Lichtwellen nicht erheblich iſt, die Eigenſchaft Lichtwellen zu erregen beſitzt, ſo werden von D nach allen Seiten Lichtwellen ausgehen, und es wird keine beſtimmte Richtung des reflectirten Strahles ſtatt finden.","norm":"Ist hier die ganze Fläche AB (Fig. 124.) gleich gut geeignet die Lichtwellen zu erregen, so entsteht, auf die früher gezeigte Weise, die regelmäßige Reflexion; aber wenn dagegen nur ein sehr kleiner Raum D, so klein, dass er selbst in Vergleichung gegen die Kleinheit der Lichtwellen nicht erheblich ist, die Eigenschaft Lichtwellen zu erregen besitzt, so werden von D nach allen Seiten Lichtwellen ausgehen, und es wird keine 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+{"basename":"brandes_naturlehre02_1831","par_idx":2429,"date":1831,"orig":"Die Stellungen des Auges, die einer Licht-Erſcheinung angemeſſen ſind, liegen alſo offenbar anders fuͤr die violetten Strahlen als fuͤr die rothen, ſie liegen anders fuͤr die um zwei Wellenlaͤngen verſchiedenen Wege, als fuͤr die um eine Wellenlaͤnge verſchiedenen Wege u. ſ. w. Eine Betrachtung, der vorhin fuͤr Gitter gefuͤhrten ganz aͤhnlich, zeigt, daß man mehrere dieſer Farbenbilder zugleich, aber nach verſchiedenen Richtungen, ſehen kann, und daß ſie deſto ſchoͤner farbig erſcheinen muͤſſen, je enger an einander und je gleichmaͤßiger dieſe Licht zuruͤckwerfenden Theile liegen.","norm":"Die Stellungen des Auges, die einer Lichterscheinung angemessen sind, liegen also offenbar anders für die violetten Strahlen als für die roten, sie liegen anders für die um zwei Wellenlängen verschiedenen Wege, als für die um eine Wellenlänge verschiedenen Wege u. s. w. Eine Betrachtung, der vorhin für Gitter geführten ganz ähnlich, zeigt, dass man mehrere dieser Farbenbilder zugleich, aber nach verschiedenen Richtungen, sehen kann, und dass sie desto schöner farbig erscheinen müssen, je enger aneinander und je gleichmäßiger diese Licht zurückwerfenden Teile 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+{"basename":"brandes_naturlehre02_1831","par_idx":2440,"date":1831,"orig":"Fresnel's Experiment uͤber die Interferenz- Erſcheinungen.","norm":"Fresnels Experiment über die Interferenz-Erscheinungen.","orig_tok":["Fresnel's","Experiment","uͤber","die","Interferenz-","Erſcheinungen","."],"norm_tok":["Fresnels","Experiment","über","die","Interferenz-Erscheinungen","."],"orig_spans":[[0,9],[10,20],[21,26],[27,30],[31,43],[44,57],[57,58]],"norm_spans":[[0,8],[9,19],[20,24],[25,28],[29,54],[54,55]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,4],[6,5]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.6529998779296875} +{"basename":"brandes_naturlehre02_1831","par_idx":2441,"date":1831,"orig":"Endlich muß ich noch ein Experiment, welches Fresnel zu Darſtellung der Interferenz-Erſcheinungen empfohlen hat, anfuͤhren.","norm":"Endlich muss ich noch ein Experiment, welches Fresnel zu Darstellung der Interferenzerscheinungen empfohlen hat, 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H., auch bisher ſchon mitgetheilt habe, ſo haben doch die in den neueſten Zeiten angeſtellten Unterſuchungen uͤber die Phaͤnomene des Lichtes noch vieles dargeboten, was noch uͤberraſchender iſt, uns das wunderbare Weſen des Lichtes in noch mannigfaltigern Modificationen kennen lehrt, aber auch des Raͤthſelhaften und Unerklaͤrlichen noch ſehr viel darbietet.","norm":"So merkwürdige und zum Teil überraschende Erscheinungen ich Ihnen, m. h. H., auch bisher schon mitgeteilt habe, so haben doch die in den neuesten Zeiten angestellten Untersuchungen über die Phänomene des Lichtes noch vieles dargeboten, was noch überraschender ist, uns das wunderbare Wesen des Lichtes in noch mannigfaltigeren Modifikationen kennen lehrt, aber auch des Rätselhaften und Unerklärlichen noch sehr viel 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+{"basename":"brandes_naturlehre02_1831","par_idx":2458,"date":1831,"orig":"Die doppelte Brechung der Lichtſtrahlen.","norm":"Die doppelte Brechung der Lichtstrahlen.","orig_tok":["Die","doppelte","Brechung","der","Lichtſtrahlen","."],"norm_tok":["Die","doppelte","Brechung","der","Lichtstrahlen","."],"orig_spans":[[0,3],[4,12],[13,21],[22,25],[26,39],[39,40]],"norm_spans":[[0,3],[4,12],[13,21],[22,25],[26,39],[39,40]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.049699783325195} +{"basename":"brandes_naturlehre02_1831","par_idx":2459,"date":1831,"orig":"An die Lehre von der Brechung des Lichtes ſchließt ſich eine Erſcheinung an, die vielleicht im erſten Augenblicke nicht von ſo ſehr tiefer Bedeutung zu ſein ſcheint, und die dennoch uns Eigenſchaften des Lichtes kennen lehrt, auf die keine der bisher erklaͤrten Erſcheinungen hinwies.","norm":"An die Lehre von der Brechung des Lichtes 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+{"basename":"brandes_naturlehre02_1831","par_idx":2463,"date":1831,"orig":"Dieſer iſt ein durch parallele, aber ſchief gegen einander geneigte Ebenen begrenzter Koͤrper, ein Rhomboid, deſſen Seitenflaͤchen ſchiefe Vier-Ecke mit parallelen Seiten ſind, in welchen die zwei ſpitzen Winkel 78° 5', die zwei ſtumpfen Winkel 101°. 55'. ſind; dieſe Seitenflaͤchen machen mit einander Neigungswinkel von 74°. 55' und 105°. 5' und dieſe Abmeſſungen finden ſich bei allen dieſen Cryſtallen gleich.","norm":"Dieser ist ein durch parallele, aber schief gegen einander geneigte Ebenen begrenzter Körper, ein Rhomboid, dessen Seitenflächen schiefe Vierecke mit parallelen Seiten sind, in welchen die zwei spitzen Winkel 78 ° 5', die zwei stumpfen Winkel 101 ° . 55' . sind; diese Seitenflächen machen miteinander Neigungswinkel von 74 ° . 55' und 105 ° . 5' und diese Abmessungen finden sich bei allen diesen Kristallen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2464,"date":1831,"orig":"Der Cryſtall laͤßt ſich leicht in Blaͤttchen, die den Oberflaͤchen parallel liegen, zerlegen, und die integrirenden Theilchen des Cryſtalls muͤſſen alſo als eben ſolche Rhomboide angeſehen werden, denen wir uͤberdies gleiche Seitenlinien und eine mit der Lage der Seiten des großen Cryſtalls uͤbereinſtimmende Lage beilegen duͤrfen.","norm":"Der Kristall lässt sich leicht in Blättchen, die den Oberflächen parallel liegen, zerlegen, und die integrierenden Teilchen des Kristalls müssen also als eben solche Rhomboide angesehen werden, denen wir überdies gleiche Seitenlinien und eine mit der Lage der Seiten des großen Kristalls übereinstimmende Lage beilegen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2465,"date":1831,"orig":"Der große Cryſtall ſowohl, als dieſe Elementarcryſtalle, woraus wir uns ihn zuſammengeſetzt denken, hat unter ſeinen acht koͤrperlichen Ecken zwei, die aus lauter ſtumpfen Winkeln von 101°. 55', als Seitenflaͤchen der Ecke, gebildet ſind, die ſechs uͤbrigen haben zwei ſpitze und einen ſtumpfen Winkel als Seitenflaͤche.","norm":"Der große Kristall sowohl, als diese Elementarkristalle, woraus wir uns ihn zusammengesetzt denken, hat unter seinen acht körperlichen Ecken zwei, die aus lauter stumpfen Winkeln von 101 ° . 55', als Seitenflächen der Ecke, gebildet sind, die sechs übrigen haben zwei spitze und einen stumpfen Winkel als 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ſenkrecht gezogen iſt, ſo ſieht das Auge O jenen Punct doppelt; bei genauerer Unterſuchung uͤberzeugt man ſich, daß zwar die Richtung, nach welcher das eine dieſer doppelten Bilder geſehen wird, mit der Senkrechten OT genau uͤbereinſtimmt, der Lichtſtrahl alſo ungebrochen zum Auge koͤmmt, daß aber der andre Strahl, ganz den Geſetzen der gewoͤhnlichen Brechung entgegen, auch hier eine Brechung leidet.","norm":"Wenn sich unter der Grundfläche im T (Fig. 126.) ein kenntlicher Punkt befindet, zu welchem die vom Auge O ausgehende Linie gegen beide Oberflächen ABC, DKL, senkrecht gezogen ist, so sieht das Auge O jenen Punkt doppelt; bei genauerer Untersuchung überzeugt man sich, dass zwar die Richtung, nach welcher das eine dieser doppelten Bilder gesehen wird, mit der Senkrechten OT genau übereinstimmt, der Lichtstrahl also ungebrochen zum Auge kommt, dass aber der andere Strahl, ganz den Gesetzen der gewöhnlichen Brechung entgegen, auch hier eine Brechung 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bleibt auch der ungewöhnlich gebrochene Strahl in dieser Ebene; weicht dagegen das Auge von dieser Ebene ab, so ist für den ungewöhnlichen Strahl das bei der gewöhnlichen Brechung ganz allgemeine und auch hier für den gewöhnlich gebrochenen Strahl immer statt findende Gesetz, dass der einfallende und der gebrochene Strahl mit dem Einfallslot in einer Ebene liegen, nicht mehr 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+{"basename":"brandes_naturlehre02_1831","par_idx":2475,"date":1831,"orig":"Dabei muß ich Sie nur immer erinnern, wenn der Cryſtall ungleiche Seiten hat, jene Axe als Ecklinie fuͤr einen Cryſtall mit gleichen Seitenlinien zu ziehen, und ſich zu erinnern, daß in jedem Puncte, wo ein Strahl einfaͤllt oder durchgehend hingelangt, in den kleinern Cryſtallen, die wir als integrirende Theile des Ganzen anſehen, ſolche Axen, alle unter einander parallel, vorhanden ſind.","norm":"Dabei muss ich Sie nur immer erinnern, wenn der Kristall ungleiche Seiten hat, jene Achse als Ecklinie für einen Kristall mit gleichen Seitenlinien zu ziehen, und sich zu erinnern, dass in jedem Punkte, wo ein Strahl einfällt oder durchgehend hingelangt, in den kleineren Kristallen, die wir als integrierende Teile des Ganzen ansehen, solche Achsen, alle untereinander parallel, vorhanden 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+{"basename":"brandes_naturlehre02_1831","par_idx":2476,"date":1831,"orig":"Um den Einfluß dieſer Axen kennen zu lernen, laͤßt man einen Cryſtall ſo ſchneiden, daß er zwei auf dieſe Axen ſenkrechte Ebnen als Seitenflaͤchen erhaͤlt; und hier zeigt ſich nun erſtlich, wenn der Lichtſtrahl mit der Axe parallel, das heißt, ſenkrecht auf die neuen Oberflaͤchen einfaͤllt, daß er ungebrochen und unzerſpalten durchgeht, und daher der geſehene Punct einfach erſcheint; dagegen zweitens, wenn der Strahl geneigt einfaͤllt, der gewoͤhnlich gebrochene Strahl der Axe naͤher liegt, als der nun wieder getrennt erſcheinende ungewoͤhnliche Strahl.","norm":"Um den Einfluss dieser Achsen kennenzulernen, lässt man einen Kristall so schneiden, dass er zwei auf diese Achsen senkrechte Ebnen als Seitenflächen erhält; und hier zeigt sich nun erstlich, wenn der Lichtstrahl mit der Achse parallel, das heißt, senkrecht auf die neuen Oberflächen einfällt, dass er ungebrochen und unzerspalten durchgeht, und daher der gesehene Punkt einfach erscheint; dagegen zweitens, wenn der Strahl geneigt einfällt, der gewöhnlich gebrochene Strahl der Achse näher liegt, als der nun wieder getrennt erscheinende ungewöhnliche 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+{"basename":"brandes_naturlehre02_1831","par_idx":2477,"date":1831,"orig":"Da naͤmlich (Fig. 127.) hier BC die Axe (oder die verlaͤngerte Axe) des an B anliegenden kleinen Cryſtalles iſt, ſo wird der einfallende Strahl AB in den gewoͤhnlichen BO und den ungewoͤhnlichen BE geſpalten, beide erleiden eine Brechung, aber der ungewoͤhnlich gebrochene Theil des Strahles verhaͤlt ſich ſo, als ob er durch irgend eine nur auf ihn allein wirkende Kraft von der Axe BC zuruͤckgeſtoßen wuͤrde.","norm":"Da nämlich (Fig. 127.) hier BC die Achse (oder die verlängerte Achse) des an B anliegenden kleinen Kristalles ist, so wird der einfallende Strahl AB in den gewöhnlichen BO und den ungewöhnlichen BE gespalten, beide erleiden eine Brechung, aber der ungewöhnlich gebrochene Teil des Strahles verhält sich so, als ob er durch irgendeine nur auf ihn allein wirkende Kraft von der Achse BC zurückgestoßen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2484,"date":1831,"orig":"Am belehrendſten ſind hier die zwei Faͤlle, wo entweder der einfallende Strahl in einer durch das Einfallsloth gelegten, mit der Axe parallelen, oder in einer auf ſie ſenkrechten Ebne liegt.","norm":"Am belehrendsten sind hier die zwei Fälle, wo entweder der einfallende Strahl in einer durch das Einfallslot gelegten, mit der Achse parallelen, oder in einer auf sie senkrechten Ebene 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+{"basename":"brandes_naturlehre02_1831","par_idx":2485,"date":1831,"orig":"Es ſei AC (Fig. 129.) dieſe Axe und der Lichtſtrahl IK liege ſo, daß er ſich in einer durch KL und KM ſenkrecht auf AC gelegten Ebne befinde; ſo bleibt der ungewoͤhnlich gebrochene und der gewoͤhnlich gebrochene Strahl in eben dieſer durch MKI oder MKL gelegten Ebne, aber der Winkel, den der ungewoͤhnlich gebrochene Strahl KE mit dem Einfallslothe KN macht, iſt groͤßer als der, den der gewoͤhnlich gebrochene KO mit KN macht, und in dieſem Falle, naͤmlich wenn die Ebne MKI ſenkrecht auf die Axe iſt, haben ſowohl die Sinus der Winkel IKM, OKN, als die Sinus der Winkel IKM, EKN ein bei allen Einfallswinkeln gleich bleibendes Verhaͤltniß.","norm":"Es sei AC (Fig. 129.) diese Achse und der Lichtstrahl IK liege so, dass er sich in einer durch KL und KM senkrecht auf AC gelegten Ebene befinde; so bleibt der ungewöhnlich gebrochene und der gewöhnlich gebrochene Strahl in eben dieser durch MKI oder MKL gelegten Ebene, 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B. fuͤr IKM = 10°, iſt EKN = 6° 43⅓', und OKN = 6° 1½').","norm":"Dieses Verhältnis wird bei jenen durch 1 zu 0,604 oder 1,656 zu 1, bei diesen durch 1 zu 0,674 oder 1,484 zu 1 ausgedrückt, und der Winkel NKE ist also allemal größer als NKO; (z. 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Ansicht gemäß sahen wir die in den dichteren und stärker brechenden Körpern größere Geschwindigkeit so an, als ob sie durch die anziehende Kraft des Körpers beschleunigt wäre, und diese Beschleunigung finden wir also hier geringer bei den der ungewöhnlichen Brechung folgenden Teilchen; dieses Resultat lässt sich, wie Biot richtig bemerkt, mit der Vorstellung, dass die Achse eine abstoßende Kraft auf die Lichtteilchen, — auf diejenigen nämlich, welche der ungewöhnlichen Brechung folgen, — ausübt, vereinigen, indem diese Kraft, weil die Lichtteilchen in diesem Falle immer senkrecht auf die Achsen treffen, nur zu Verminderung der Geschwindigkeit beiträgt, und daher die dieser zurückhaltenden Kraft unterworfenen Teilchen sich nicht so sehr beschleunigen, als die im gewöhnlichen Strahle enthaltenen, das ist, die dieser Kraft nicht unterworfenen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2491,"date":1831,"orig":"Der zweite merkwuͤrdige Fall, welcher ſich darbietet, wenn die Oberflaͤche, durch welche der Strahl eintritt, die Axe ſelbſt in ſich enthaͤlt, iſt der, wo der Strahl in der durch die Axe und das Einfallsloth gehenden Ebne ſich befindet.","norm":"Der zweite merkwürdige Fall, welcher sich darbietet, wenn die Oberfläche, durch welche der Strahl eintritt, die Achse selbst in sich enthält, ist der, wo der Strahl in der durch die Achse und das Einfallslot gehenden Ebene sich 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+{"basename":"brandes_naturlehre02_1831","par_idx":2492,"date":1831,"orig":"Auch in dieſem Falle geht der ungewoͤhnlich gebrochene Strahl ſo wenig, als der gewoͤhnlich gebrochene, aus der durch das Einfallsloth und den einfallenden Strahl gelegten Ebne heraus, weil die abſtoßende Kraft, die wir der Axe beilegen, hier in eben derſelben Ebne wirkt; aber der ungewoͤhnlich gebrochene Strahl entfernt ſich mehr als der gewoͤhnlich gebrochene Strahl von dieſer Axe, ſo daß wenn (Fig. 130.)","norm":"Auch in diesem Falle geht der ungewöhnlich gebrochene Strahl so wenig, als der gewöhnlich gebrochene, aus der durch das Einfallslot und den einfallenden Strahl gelegten Ebene heraus, weil die abstoßende Kraft, die wir der Achse beilegen, hier in eben derselben Ebene wirkt; aber der ungewöhnlich gebrochene Strahl entfernt sich mehr als der gewöhnlich gebrochene Strahl von dieser Achse, so dass wenn (Fig. 130.)","orig_tok":["Auch","in","dieſem","Falle","geht","der","ungewoͤhnlich","gebrochene","Strahl","ſo","wenig",",","als","der","gewoͤhnlich","gebrochene",",","aus","der","durch","das","Einfallsloth","und","den","einfallenden","Strahl","gelegten","Ebne","heraus",",","weil","die","abſtoßende","Kraft",",","die","wir","der","Axe","beilegen",",","hier","in","eben","derſelben","Ebne","wirkt",";","aber","der","ungewoͤhnlich","gebrochene","Strahl","entfernt","ſich","mehr","als","der","gewoͤhnlich","gebrochene","Strahl","von","dieſer","Axe",",","ſo","daß","wenn","(","Fig.","130",".",")"],"norm_tok":["Auch","in","diesem","Falle","geht","der","ungewöhnlich","gebrochene","Strahl","so","wenig",",","als","der","gewöhnlich","gebrochene",",","aus","der","durch","das","Einfallslot","und","den","einfallenden","Strahl","gelegten","Ebene","heraus",",","weil","die","abstoßende","Kraft",",","die","wir","der","Achse","beilegen",",","hier","in","eben","derselben","Ebene","wirkt",";","aber","der","ungewöhnlich","gebrochene","Strahl","entfernt","sich","mehr","als","der","gewöhnlich","gebrochene","Strahl","von","dieser","Achse",",","so","dass","wenn","(","Fig",".","130.",")"],"orig_spans":[[0,4],[5,7],[8,14],[15,20],[21,25],[26,29],[30,43],[44,54],[55,61],[62,64],[65,70],[70,71],[72,75],[76,79],[80,91],[92,102],[102,103],[104,107],[108,111],[112,117],[118,121],[122,134],[135,138],[139,142],[143,155],[156,162],[163,171],[172,176],[177,183],[183,184],[185,189],[190,193],[194,204],[205,210],[210,211],[212,215],[216,219],[220,223],[224,227],[228,236],[236,237],[238,242],[243,245],[246,250],[251,260],[261,265],[266,271],[271,272],[273,277],[278,281],[282,295],[296,306],[307,313],[314,322],[323,327],[328,332],[333,336],[337,340],[341,352],[353,363],[364,370],[371,374],[375,381],[382,385],[385,386],[387,389],[390,393],[394,398],[399,400],[400,404],[405,408],[408,409],[409,410]],"norm_spans":[[0,4],[5,7],[8,14],[15,20],[21,25],[26,29],[30,42],[43,53],[54,60],[61,63],[64,69],[69,70],[71,74],[75,78],[79,89],[90,100],[100,101],[102,105],[106,109],[110,115],[116,119],[120,131],[132,135],[136,139],[140,152],[153,159],[160,168],[169,174],[175,181],[181,182],[183,187],[188,191],[192,202],[203,208],[208,209],[210,213],[214,217],[218,221],[222,227],[228,236],[236,237],[238,242],[243,245],[246,250],[251,260],[261,266],[267,272],[272,273],[274,278],[279,282],[283,295],[296,306],[307,313],[314,322],[323,327],[328,332],[333,336],[337,340],[341,351],[352,362],[363,369],[370,373],[374,380],[381,386],[386,387],[388,390],[391,395],[396,400],[401,402],[402,405],[405,406],[407,411],[411,412]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,null],[71,70],[null,71],[72,72]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.296800136566162} +{"basename":"brandes_naturlehre02_1831","par_idx":2493,"date":1831,"orig":"AB die Oberflaͤche und zugleich die Richtung der in ihr liegenden Axe darſtellt, KL der einfallende Strahl, LP das Einfallsloth iſt, LE den ungewoͤhnlich gebrochenen, LO den gewoͤhnlich gebrochenen Strahl darſtellen wuͤrde.","norm":"AB die Oberfläche und zugleich die Richtung der in ihr liegenden Achse darstellt, KL der einfallende Strahl, LP das Einfallslot ist, LE den ungewöhnlich gebrochenen, LO den gewöhnlich gebrochenen Strahl darstellen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2494,"date":1831,"orig":"Fuͤr den gewoͤhnlich gebrochenen Strahl findet auch hier eben das Verhaͤltniß der Sinus, wie vorhin, ſtatt; aber fuͤr den ungewoͤhnlich gebrochenen Strahl gilt ein andres Geſetz, das ſich in einer Zeichnung darſtellen laͤßt.","norm":"Für den gewöhnlich gebrochenen Strahl findet auch hier eben das Verhältnis der Sinus, wie vorhin, statt; aber für den ungewöhnlich gebrochenen Strahl gilt ein anderes Gesetz, das sich in einer Zeichnung darstellen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2496,"date":1831,"orig":"Eine Zeichnung, der fruͤher angewandten aͤhnlich, giebt hier die Richtung beider Strahlen, indem man beide Senkrechten auf das Einfallsloth nach den oben angegebenen Zahlen, alſo NO = 0,60. LM (Fig. 131.) und no = 0,67. LM eintragen, und AO als gewoͤhnlich, AoE als ungewoͤhnlich gebrochenen Strahl zeichnen muͤßte; aber es laͤßt ſich dies noch bequemer thun.","norm":"Eine Zeichnung, der früher angewandten ähnlich, gibt hier die Richtung beider Strahlen, indem man beide Senkrechten auf das Einfallslot nach den oben angegebenen Zahlen, also NO = 0,60. LM (Fig. 131.) und no = 0,67. LM eintragen, und AO als gewöhnlich, AoE als ungewöhnlich gebrochenen Strahl zeichnen müsste; aber es lässt sich dies noch bequemer 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+{"basename":"brandes_naturlehre02_1831","par_idx":2497,"date":1831,"orig":"Man zeichne zwei Kreiſe, deren Halbmeſſer ſich (Fig. 131.) wie 604 zu 674 verhalten, um den Einfallspunct A; man beſtimme in dem erſten auf die gewoͤhnliche Weiſe den Punct O, um die Lage des gewoͤhnlich gebrochenen Strahles zu erhalten und ziehe die Beruͤhrungslinie an O, welche die Brechungsflaͤche in K ſchneidet; zieht man nun von K eine Beruͤhrungslinie KE an den zweiten Kreis, ſo giebt AE, nach dem Beruͤhrungspuncte E gezogen, in dieſem Falle den ungewoͤhnlich gebrochenen Strahl.","norm":"Man zeichne zwei Kreise, deren Halbmesser sich (Fig. 131.) wie 604 zu 674 verhalten, um den Einfallspunkt A; man bestimme in dem ersten auf die gewöhnliche Weise den Punkt O, um die Lage des gewöhnlich gebrochenen Strahles zu erhalten und ziehe die Berührungslinie an O, welche die Brechungsfläche in K schneidet; zieht man nun von K eine Berührungslinie KE an den zweiten Kreis, so gibt AE, nach dem Berührungspunkte E gezogen, in diesem Falle den ungewöhnlich gebrochenen Strahl.","orig_tok":["Man","zeichne","zwei","Kreiſe",",","deren","Halbmeſſer","ſich","(","Fig.","131.",")","wie","604","zu","674","verhalten",",","um","den","Einfallspunct","A",";","man","beſtimme","in","dem","erſten","auf","die","gewoͤhnliche","Weiſe","den","Punct","O",",","um","die","Lage","des","gewoͤhnlich","gebrochenen","Strahles","zu","erhalten","und","ziehe","die","Beruͤhrungslinie","an","O",",","welche","die","Brechungsflaͤche","in","K","ſchneidet",";","zieht","man","nun","von","K","eine","Beruͤhrungslinie","KE","an","den","zweiten","Kreis",",","ſo","giebt","AE",",","nach","dem","Beruͤhrungspuncte","E","gezogen",",","in","dieſem","Falle","den","ungewoͤhnlich","gebrochenen","Strahl","."],"norm_tok":["Man","zeichne","zwei","Kreise",",","deren","Halbmesser","sich","(","Fig",".","131.",")","wie","604","zu","674","verhalten",",","um","den","Einfallspunkt","A",";","man","bestimme","in","dem","ersten","auf","die","gewöhnliche","Weise","den","Punkt","O",",","um","die","Lage","des","gewöhnlich","gebrochenen","Strahles","zu","erhalten","und","ziehe","die","Berührungslinie","an","O",",","welche","die","Brechungsfläche","in","K","schneidet",";","zieht","man","nun","von","K","eine","Berührungslinie","KE","an","den","zweiten","Kreis",",","so","gibt","AE",",","nach","dem","Berührungspunkte","E","gezogen",",","in","diesem","Falle","den","ungewöhnlich","gebrochenen","Strahl","."],"orig_spans":[[0,3],[4,11],[12,16],[17,23],[23,24],[25,30],[31,41],[42,46],[47,48],[48,52],[53,57],[57,58],[59,62],[63,66],[67,69],[70,73],[74,83],[83,84],[85,87],[88,91],[92,105],[106,107],[107,108],[109,112],[113,121],[122,124],[125,128],[129,135],[136,139],[140,143],[144,156],[157,162],[163,166],[167,172],[173,174],[174,175],[176,178],[179,182],[183,187],[188,191],[192,203],[204,215],[216,224],[225,227],[228,236],[237,240],[241,246],[247,250],[251,267],[268,270],[271,272],[272,273],[274,280],[281,284],[285,301],[302,304],[305,306],[307,316],[316,317],[318,323],[324,327],[328,331],[332,335],[336,337],[338,342],[343,359],[360,362],[363,365],[366,369],[370,377],[378,383],[383,384],[385,387],[388,393],[394,396],[396,397],[398,402],[403,406],[407,424],[425,426],[427,434],[434,435],[436,438],[439,445],[446,451],[452,455],[456,469],[470,481],[482,488],[488,489]],"norm_spans":[[0,3],[4,11],[12,16],[17,23],[23,24],[25,30],[31,41],[42,46],[47,48],[48,51],[51,52],[53,57],[57,58],[59,62],[63,66],[67,69],[70,73],[74,83],[83,84],[85,87],[88,91],[92,105],[106,107],[107,108],[109,112],[113,121],[122,124],[125,128],[129,135],[136,139],[140,143],[144,155],[156,161],[162,165],[166,171],[172,173],[173,174],[175,177],[178,181],[182,186],[187,190],[191,201],[202,213],[214,222],[223,225],[226,234],[235,238],[239,244],[245,248],[249,264],[265,267],[268,269],[269,270],[271,277],[278,281],[282,297],[298,300],[301,302],[303,312],[312,313],[314,319],[320,323],[324,327],[328,331],[332,333],[334,338],[339,354],[355,357],[358,360],[361,364],[365,372],[373,378],[378,379],[380,382],[383,387],[388,390],[390,391],[392,396],[397,400],[401,417],[418,419],[420,427],[427,428],[429,431],[432,438],[439,444],[445,448],[449,461],[462,473],[474,480],[480,481]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[9,10],[10,11],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[24,25],[25,26],[26,27],[27,28],[28,29],[29,30],[30,31],[31,32],[32,33],[33,34],[34,35],[35,36],[36,37],[37,38],[38,39],[39,40],[40,41],[41,42],[42,43],[43,44],[44,45],[45,46],[46,47],[47,48],[48,49],[49,50],[50,51],[51,52],[52,53],[53,54],[54,55],[55,56],[56,57],[57,58],[58,59],[59,60],[60,61],[61,62],[62,63],[63,64],[64,65],[65,66],[66,67],[67,68],[68,69],[69,70],[70,71],[71,72],[72,73],[73,74],[74,75],[75,76],[76,77],[77,78],[78,79],[79,80],[80,81],[81,82],[82,83],[83,84],[84,85],[85,86],[86,87],[87,88],[88,89],[89,90]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.541800022125244} +{"basename":"brandes_naturlehre02_1831","par_idx":2498,"date":1831,"orig":"Es iſt naͤmlich leicht zu zeigen, daß die Senkrechten NO, no, die in einerlei Kreiſe gezogen ſind, alsdann das richtige Verhaͤltniß haben . Dieſe Zeichnung galt bei der Lage des Strahls in einer auf die Axe ſenkrechten Ebne; fuͤr die Lage des Strahls in einer durch das Einfallsloth parallel mit der Axe des Cryſtalls gelegten Ebne gilt eine ziemlich uͤbereinſtimmende Zeichnung.","norm":"Es ist nämlich leicht zu zeigen, dass die Senkrechten NO, no, die in einerlei Kreise gezogen sind, alsdann das richtige Verhältnis haben . Diese Zeichnung galt bei der Lage des Strahls in einer auf die Achse senkrechten Ebene; für die Lage des Strahls in einer durch das Einfallslot parallel mit der Achse des Kristalls gelegten Ebene gilt eine ziemlich übereinstimmende Zeichnung.","orig_tok":["Es","iſt","naͤmlich","leicht","zu","zeigen",",","daß","die","Senkrechten","NO",",","no",",","die","in","einerlei","Kreiſe","gezogen","ſind",",","alsdann","das","richtige","Verhaͤltniß","haben",".","Dieſe","Zeichnung","galt","bei","der","Lage","des","Strahls","in","einer","auf","die","Axe","ſenkrechten","Ebne",";","fuͤr","die","Lage","des","Strahls","in","einer","durch","das","Einfallsloth","parallel","mit","der","Axe","des","Cryſtalls","gelegten","Ebne","gilt","eine","ziemlich","uͤbereinſtimmende","Zeichnung","."],"norm_tok":["Es","ist","nämlich","leicht","zu","zeigen",",","dass","die","Senkrechten","NO",",","no",",","die","in","einerlei","Kreise","gezogen","sind",",","alsdann","das","richtige","Verhältnis","haben",".","Diese","Zeichnung","galt","bei","der","Lage","des","Strahls","in","einer","auf","die","Achse","senkrechten","Ebene",";","für","die","Lage","des","Strahls","in","einer","durch","das","Einfallslot","parallel","mit","der","Achse","des","Kristalls","gelegten","Ebene","gilt","eine","ziemlich","übereinstimmende","Zeichnung","."],"orig_spans":[[0,2],[3,6],[7,15],[16,22],[23,25],[26,32],[32,33],[34,37],[38,41],[42,53],[54,56],[56,57],[58,60],[60,61],[62,65],[66,68],[69,77],[78,84],[85,92],[93,97],[97,98],[99,106],[107,110],[111,119],[120,131],[132,137],[138,139],[140,145],[146,155],[156,160],[161,164],[165,168],[169,173],[174,177],[178,185],[186,188],[189,194],[195,198],[199,202],[203,206],[207,218],[219,223],[223,224],[225,229],[230,233],[234,238],[239,242],[243,250],[251,253],[254,259],[260,265],[266,269],[270,282],[283,291],[292,295],[296,299],[300,303],[304,307],[308,317],[318,326],[327,331],[332,336],[337,341],[342,350],[351,368],[369,378],[378,379]],"norm_spans":[[0,2],[3,6],[7,14],[15,21],[22,24],[25,31],[31,32],[33,37],[38,41],[42,53],[54,56],[56,57],[58,60],[60,61],[62,65],[66,68],[69,77],[78,84],[85,92],[93,97],[97,98],[99,106],[107,110],[111,119],[120,130],[131,136],[137,138],[139,144],[145,154],[155,159],[160,163],[164,167],[168,172],[173,176],[177,184],[185,187],[188,193],[194,197],[198,201],[202,207],[208,219],[220,225],[225,226],[227,230],[231,234],[235,239],[240,243],[244,251],[252,254],[255,260],[261,266],[267,270],[271,282],[283,291],[292,295],[296,299],[300,305],[306,309],[310,319],[320,328],[329,334],[335,339],[340,344],[345,353],[354,370],[371,380],[380,381]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.414999961853027} +{"basename":"brandes_naturlehre02_1831","par_idx":2499,"date":1831,"orig":"Man giebt wieder dem Halbmeſſer AF eines um den Einfallspunct A (Fig. 132.) gezogenen Kreiſes die Groͤße von 604 Theilen und traͤgt AG = 674 Theilen auf; man zieht nun die mit AG parallelen Linien und theilt jede derſelben, ſo weit ſie zwiſchen AH und dem Umfange des Kreiſes liegen, in 604 Theile, verlaͤngert ſie aber dann um 70 eben ſolche Theile, ſo daß PO ſich zu PE wie 604 zu 674 verhalte; durch die ſo beſtimmten Endpuncte zieht man die krumme Linie HEG, welche eine Ellipſe wird.","norm":"Man gibt wieder dem Halbmesser AF eines um den Einfallspunkt A (Fig. 132.) gezogenen Kreises die Größe von 604 Teilen und trägt AG = 674 Teilen auf; man zieht nun die mit AG parallelen Linien und teilt jede derselben, so weit sie zwischen AH und dem Umfange des Kreises liegen, in 604 Teile, verlängert sie aber dann um 70 eben solche Teile, so dass PO sich zu PE wie 604 zu 674 verhalte; durch die so bestimmten Endpunkte zieht man die krumme Linie HEG, welche eine Ellipse 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+{"basename":"brandes_naturlehre02_1831","par_idx":2512,"date":1831,"orig":"Und ſo wie hier der wahre Abſtand derjenigen beiden Puncte gefunden wird, die in den beiden Bildern als zuſammenfallend erſcheinen, ſo kann man auch umgekehrt den Weg beider von demſelben Puncte ausgehenden Strahlen beſtimmen.","norm":"Und so wie hier der wahre Abstand derjenigen beiden Punkte gefunden wird, die in den beiden Bildern als zusammenfallend erscheinen, so kann man auch umgekehrt den Weg beider von demselben Punkte ausgehenden Strahlen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2521,"date":1831,"orig":"Wenn der Gegenſtand L weit entfernt ſteht, ſo ſind Lg, lg Strahlen, die von einerlei Puncte ausgehen, und das Auge in P ſieht alſo den Punct L verdoppelt und die beiden Bilder um den Winkel OPe von einander entfernt.","norm":"Wenn der Gegenstand L weit entfernt steht, so sind Lg, lg Strahlen, die von einerlei Punkte ausgehen, und das Auge in P sieht also den Punkt L verdoppelt und die beiden Bilder um den Winkel Ope voneinander 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+{"basename":"brandes_naturlehre02_1831","par_idx":2532,"date":1831,"orig":"Dies ſcheint grade nicht unerwartet; aber wir wollen einen zweiten Fall betrachten.","norm":"Dies scheint gerade nicht unerwartet; aber wir wollen einen zweiten Fall betrachten.","orig_tok":["Dies","ſcheint","grade","nicht","unerwartet",";","aber","wir","wollen","einen","zweiten","Fall","betrachten","."],"norm_tok":["Dies","scheint","gerade","nicht","unerwartet",";","aber","wir","wollen","einen","zweiten","Fall","betrachten","."],"orig_spans":[[0,4],[5,12],[13,18],[19,24],[25,35],[35,36],[37,41],[42,45],[46,52],[53,58],[59,66],[67,71],[72,82],[82,83]],"norm_spans":[[0,4],[5,12],[13,19],[20,25],[26,36],[36,37],[38,42],[43,46],[47,53],[54,59],[60,67],[68,72],[73,83],[83,84]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.26669979095459} 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+{"basename":"brandes_naturlehre02_1831","par_idx":2539,"date":1831,"orig":"Alle anderen Faͤlle dagegen zeigen, daß dieſe Modification, welche der Lichtſtrahl erlangt hat, in einer gewiſſen Beziehung der Seiten des Strahls zu den Seiten oder Axen des Cryſtalles ſteht; die verſchiedenen Seiten des Lichtſtrahls haben ungleiche Eigenſchaften, das Licht iſt, wie man es genannt hat, polariſirt.","norm":"Alle anderen Fälle dagegen zeigen, dass diese Modifikation, welche der Lichtstrahl erlangt hat, in einer gewissen Beziehung der Seiten des Strahls zu den Seiten oder Achsen des Kristalles steht; die verschiedenen Seiten des Lichtstrahls haben ungleiche Eigenschaften, das Licht ist, wie man es genannt hat, 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+{"basename":"brandes_naturlehre02_1831","par_idx":2540,"date":1831,"orig":"Aehnliche Beſtimmungen fuͤr die Wege des Lichtſtrahls, wie ſie beim Uebergange in einen zweiten Cryſtall ſich hier ergaben, finden auch da ſtatt, wo ein Strahl von der zweiten Oberflaͤche des Cryſtalles reflectirt, in das Innere deſſelben zuruͤckgeht.","norm":"Ähnliche Bestimmungen für die Wege des Lichtstrahls, wie sie beim Übergange in einen zweiten Kristall sich hier ergaben, finden auch da statt, wo ein Strahl von der zweiten Oberfläche des Kristalles reflektiert, in das Innere desselben 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+{"basename":"brandes_naturlehre02_1831","par_idx":2542,"date":1831,"orig":"Iſt der zur zweiten Oberflaͤche gelangende Strahl ein gewoͤhnlich gebrochener, ſo wird der im Innern reflectirte Theil aus einem gewoͤhnlich gebrochenen Strahle beſtehen, der ganz ſo zuruͤckgeht, wie es in jedem andern Falle ſtatt findet; aber neben ihm geht auch jetzt ein ungewoͤhnlicher Strahl zuruͤck, deſſen Richtung ſo beſtimmt iſt, wie es bei der Brechung geſchehen wuͤrde, wenn der reflectirte Strahl aus einem einfallenden, gebrochenen entſtanden waͤre; man muß daher zu dem gewoͤhnlich reflectirten Strahle die Richtung außerhalb des Cryſtalles ſuchen, in welcher ein Strahl einfallen muͤßte, um jenen Strahl als gewoͤhnlich gebrochenen hervorzubringen, dann iſt der ungewoͤhnlich gebrochene Theil eben dieſes erdichteten Strahles einerlei mit dem eben erwaͤhnten ungewoͤhnlichen Theile des reflectirten Strahles.","norm":"Ist der zur zweiten Oberfläche gelangende Strahl ein gewöhnlich gebrochener, so wird der im 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+{"basename":"brandes_naturlehre02_1831","par_idx":2551,"date":1831,"orig":"Eine dieſer Ebnen findet man, wenn man ſich im Cryſtall die beiden, ſich durchſchneidenden Axen gezogen denkt, dann eine Linie zieht, die den von ihnen gebildeten Winkel halbirt, und eine Ebne auf ſie ſenkrecht legt; in dieſer Ebne behaͤlt der eine Strahl bei jeder in ihr liegenden Richtung gleiche Geſchwindigkeit.","norm":"Eine dieser Ebnen findet man, wenn man sich im Kristall die beiden, sich durchschneidenden Achsen gezogen denkt, dann eine Linie zieht, die den von ihnen gebildeten Winkel halbiert, und eine Ebene auf sie senkrecht legt; in dieser Ebene behält der eine Strahl bei jeder in ihr liegenden Richtung gleiche 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+{"basename":"brandes_naturlehre02_1831","par_idx":2555,"date":1831,"orig":"Uebereinſtimmung der geometriſchen Axen mit den optiſchen Axen.","norm":"Übereinstimmung der geometrischen Achsen mit den optischen Achsen.","orig_tok":["Uebereinſtimmung","der","geometriſchen","Axen","mit","den","optiſchen","Axen","."],"norm_tok":["Übereinstimmung","der","geometrischen","Achsen","mit","den","optischen","Achsen","."],"orig_spans":[[0,16],[17,20],[21,34],[35,39],[40,43],[44,47],[48,57],[58,62],[62,63]],"norm_spans":[[0,15],[16,19],[20,33],[34,40],[41,44],[45,48],[49,58],[59,65],[65,66]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.956500053405761} +{"basename":"brandes_naturlehre02_1831","par_idx":2556,"date":1831,"orig":"Nach Brewſter's Beſtimmung giebt es gewiſſe Arten von Kerngeſtalten der Cryſtalle, welche einfache Brechung, welche doppelte Brechung mit einer Axe, welche 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+{"basename":"brandes_naturlehre02_1831","par_idx":2557,"date":1831,"orig":"Sie erinnern ſich, daß wir fruͤher nach Hauͤys Angaben, die von andern Mineralogen vielfaͤltig verbeſſert und vervollſtaͤndigt ſind, jeden Cryſtall als aus gleichen kleinen Cryſtallen, (nicht allemal dem Ganzen aͤhnlich,) zuſammengeſetzt anſahen.","norm":"Sie erinnern sich, dass wir früher nach Heus Angaben, die von anderen Mineralogen vielfältig verbessert und vervollständigt sind, jeden Kristall als aus gleichen kleinen Kristallen, (nicht allemal dem Ganzen ähnlich,) zusammengesetzt 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der Lage des Strahles gegen die Axe ungleiche Geſchwindigkeit annehmen.","norm":"Folgen wir zuerst Newtons Ansicht, so müssen wir offenbar einräumen, dass die Lichtteilchen nicht alle einer gleichen Anziehung ausgesetzt sind, dass nämlich in den Kristallen mit einer Achse zwar einige Lichtteilchen, nämlich die der gewöhnlichen Brechung folgenden, eine immer gleiche Geschwindigkeit erlangen, die übrigen aber eine nach der Lage des Strahles gegen die Achse ungleiche Geschwindigkeit 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+{"basename":"brandes_naturlehre02_1831","par_idx":2578,"date":1831,"orig":"Hier wuͤrde es uns nun freilich nicht ſo ſehr uͤberraſchen, eine von der Richtung der Axe abhaͤngende Anziehungskraft zu bemerken, da alle Cryſtalliſation auf einer regelmaͤßig ungleich vertheilten Anordnung der Materie zu beruhen ſcheint; aber der Grund, warum nur einige Lichttheilchen der einen Art von Anziehung folgen, andre Theilchen der andern, bleibt voͤllig unerklaͤrt.","norm":"Hier würde es uns nun freilich nicht so sehr überraschen, eine von der Richtung der Achse abhängende Anziehungskraft zu bemerken, da alle Kristallisation auf einer regelmäßig ungleich verteilten Anordnung der Materie zu beruhen scheint; aber der Grund, warum nur einige Lichtteilchen der einen Art von Anziehung folgen, andere Teilchen der anderen, bleibt völlig 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+{"basename":"brandes_naturlehre02_1831","par_idx":2585,"date":1831,"orig":"Die im gewoͤhnlichen Sonnenſtrahle oder in andern Lichtſtrahlen zu uns gelangenden Lichttheilchen haben dieſe Axe nach den mannigfaltigſten Richtungen gewandt, und behalten auch dieſe mannigfaltigen Richtungen bei der Brechung in den einfach brechenden Koͤrpern; die doppelt brechenden Koͤrper aber beſitzen die Eigenſchaft die Axen der Lichttheilchen in beſtimmte Richtungen zu zwingen, die Lichttheilchen zu polariſiren.","norm":"Die im gewöhnlichen Sonnenstrahl oder in anderen Lichtstrahlen zu uns gelangenden Lichtteilchen haben diese Achse nach den mannigfaltigsten Richtungen gewandt, und behalten auch diese mannigfaltigen Richtungen bei der Brechung in den einfach brechenden Körpern; die doppelt brechenden Körper aber besitzen die Eigenschaft die Achsen der Lichtteilchen in bestimmte Richtungen zu zwingen, die Lichtteilchen zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2595,"date":1831,"orig":"Dieſe Darſtellung, wenn ſie auch zu hypothetiſch ſcheinen mag, um als den wahren Grund der Erſcheinungen ausſprechend angeſehen zu werden, bringt doch wenigſtens die bis jetzt betrachteten Erſcheinungen in einen Zuſammenhang, der die Ueberſicht der mannigfaltigen Phaͤnomene ſehr erleichtert, und hat in dieſer Hinſicht gewiß einen hohen Werth.","norm":"Diese Darstellung, wenn sie auch zu hypothetisch scheinen mag, um als den wahren Grund der Erscheinungen aussprechend angesehen zu werden, bringt doch wenigstens die bis jetzt betrachteten Erscheinungen in einen Zusammenhang, der die Übersicht der mannigfaltigen Phänomene sehr erleichtert, und hat in dieser Hinsicht gewiss einen hohen 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angemeſſenere Darſtellung gegeben haben, ſo will ich nur dieſe hier in einem kurzen Abriſſe mittheilen.","norm":"Schon Huyghens hatte dieses mit dem ihm eigentümlichen großen Scharfsinne gezeigt, da indes die neueren Entwicklungen der Undulationstheorie eine noch angemessenere Darstellung gegeben haben, so will ich nur diese hier in einem kurzen Abrisse 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+{"basename":"brandes_naturlehre02_1831","par_idx":2598,"date":1831,"orig":"Die gewoͤhnliche Beſtimmung der Fortpflanzung der Aetherwelle ſetzt voraus, daß der Aether nach allen Richtungen gleich elaſtiſch ſei, und in der That kann auch wohl kein andrer Fall da angenommen werden, wo die Koͤrpertheilchen, zwiſchen welchen der Aether enthalten iſt, eine gleichmaͤßige Austheilung haben; aber in einem cryſtalliſirten Koͤrper iſt es nicht unmoͤglich, daß die nach beſtimmten Richtungen anders als nach den uͤbrigen Richtungen wirkenden Attractionskraͤfte dem Aether eine andre Elaſticitaͤt nach der einen als nach der andern Richtung geben, oder bewirken, daß die von ihrem Gleichgewichtszuſtande entfernten Theilchen nach der einen Richtung mit mehr Gewalt als nach der andern zu demſelben zuruͤck gefuͤhrt werden.","norm":"Die gewöhnliche Bestimmung der Fortpflanzung der Ätherwelle setzt voraus, dass der Äther nach allen Richtungen gleich elastisch sei, und in der Tat kann auch wohl kein anderer 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+{"basename":"brandes_naturlehre02_1831","par_idx":2599,"date":1831,"orig":"Nimmt man eine ſolche Ungleichheit an, ſo iſt die Geſtalt einer von einem Mittelpuncte ausgehenden Welle nicht mehr kugelfoͤrmig, ſondern ſphaͤroidiſch oder ellipſoidiſch , und ihre Fortpflanzung von dem Puncte, wo ſie ausgeht, ſtellt ſich, als unter ſich aͤhnlichen Ellipſoiden um jenen Punct entſprechend, dar.","norm":"Nimmt man eine solche Ungleichheit an, so ist die Gestalt einer von einem Mittelpunkte ausgehenden Welle nicht mehr kugelförmig, sondern sphäroidisch oder ellipsoidisch, und ihre Fortpflanzung von dem Punkte, wo sie ausgeht, stellt sich, als unter sich ähnlichen Ellipsoiden um jenen Punkt entsprechend, 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+{"basename":"brandes_naturlehre02_1831","par_idx":2600,"date":1831,"orig":"Da wo eine Lichtwelle einen Cryſtall trifft, entſtehen ſo um die Puncte, wo ſie nach und nach die Oberflaͤche deſſelben erreicht, ſolche ellipſoidiſche Wellen, und die Fortpflanzung des Strahles haͤngt nun nach eben den Regeln von der gemeinſchaftlichen Wirkung dieſer Wellen, wie in den fruͤhern Betrachtungen von den ſich gleichſam in einander verlaufenden Kreiswellen ab; und da zeigt ſich, daß die Richtung des auf dieſe Weiſe im Innern des Cryſtalles fortgepflanzten, ungewoͤhnlich gebrochenen Strahles nach den Geſetzen beſtimmt wird, die ich bei den Cryſtallen mit einer Axe nachgewieſen habe.","norm":"Da wo eine Lichtwelle einen Kristall trifft, entstehen so um die Punkte, wo sie nach und nach die Oberfläche desselben erreicht, solche ellipsoidische Wellen, und die Fortpflanzung des Strahles hängt nun nach eben den Regeln von der gemeinschaftlichen Wirkung dieser Wellen, wie in den früheren Betrachtungen von den sich gleichsam ineinander verlaufenden Kreiswellen ab; und da zeigt sich, dass die Richtung des auf diese Weise im Inneren des Kristalles fortgepflanzten, ungewöhnlich gebrochenen Strahles nach den Gesetzen bestimmt wird, die ich bei den Kristallen mit einer Achse nachgewiesen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2632,"date":1831,"orig":"Dieſe Erfahrung, daß der Lichtſtrahl unter gewiſſen Umſtaͤnden der Zuruͤckwerfung nicht mehr unterworfen iſt, leitet wohl von ſelbſt zu der Frage, ob denn etwa alles Licht durchgelaſſen wird, und dieſe Vermuthung findet ſich beſtaͤtigt.","norm":"Diese Erfahrung, dass der Lichtstrahl unter gewissen Umständen der Zurückwerfung nicht mehr unterworfen ist, leitet wohl von selbst zu der Frage, ob denn etwa alles Licht durchgelassen wird, und diese Vermutung findet sich 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+{"basename":"brandes_naturlehre02_1831","par_idx":2641,"date":1831,"orig":"Nach Brewſter's Entdeckung iſt naͤmlich der Polariſationswinkel derjenige Einfallswinkel, bei welchem der eindringende, gebrochene Strahl mit dem zuruͤckgeworfenen Strahle einen rechten Winkel macht.","norm":"Nach Brewsters Entdeckung ist nämlich der Polarisationswinkel derjenige Einfallswinkel, bei welchem der eindringende, gebrochene Strahl mit dem zurückgeworfenen Strahle einen rechten Winkel macht.","orig_tok":["Nach","Brewſter's","Entdeckung","iſt","naͤmlich","der","Polariſationswinkel","derjenige","Einfallswinkel",",","bei","welchem","der","eindringende",",","gebrochene","Strahl","mit","dem","zuruͤckgeworfenen","Strahle","einen","rechten","Winkel","macht","."],"norm_tok":["Nach","Brewsters","Entdeckung","ist","nämlich","der","Polarisationswinkel","derjenige","Einfallswinkel",",","bei","welchem","der","eindringende",",","gebrochene","Strahl","mit","dem","zurückgeworfenen","Strahle","einen","rechten","Winkel","macht","."],"orig_spans":[[0,4],[5,15],[16,26],[27,30],[31,39],[40,43],[44,63],[64,73],[74,88],[88,89],[90,93],[94,101],[102,105],[106,118],[118,119],[120,130],[131,137],[138,141],[142,145],[146,163],[164,171],[172,177],[178,185],[186,192],[193,198],[198,199]],"norm_spans":[[0,4],[5,14],[15,25],[26,29],[30,37],[38,41],[42,61],[62,71],[72,86],[86,87],[88,91],[92,99],[100,103],[104,116],[116,117],[118,128],[129,135],[136,139],[140,143],[144,160],[161,168],[169,174],[175,182],[183,189],[190,195],[195,196]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.1869001388549805} +{"basename":"brandes_naturlehre02_1831","par_idx":2642,"date":1831,"orig":"Sie wiſſen, daß im Glaſe fuͤr den gebrochenen Strahl BE (Fig. 143.) der Winkel FBE leicht aus dem Winkel ABC, den der einfallende Strahl AB mit dem Einfallslothe BC macht, beſtimmt wird, und daß fuͤr den reflectirten Strahl BD der Winkel CBD = CBA iſt.","norm":"Sie wissen, dass im Glase für den gebrochenen Strahl BE (Fig. 143.) der Winkel FBE leicht aus dem Winkel ABC, den der einfallende Strahl AB mit dem Einfallslot BC macht, bestimmt wird, und dass für den reflektierten Strahl BD der Winkel CBD = CBA ist.","orig_tok":["Sie","wiſſen",",","daß","im","Glaſe","fuͤr","den","gebrochenen","Strahl","BE","(","Fig.","143.",")","der","Winkel","FBE","leicht","aus","dem","Winkel","ABC",",","den","der","einfallende","Strahl","AB","mit","dem","Einfallslothe","BC","macht",",","beſtimmt","wird",",","und","daß","fuͤr","den","reflectirten","Strahl","BD","der","Winkel","CBD","=","CBA","iſt","."],"norm_tok":["Sie","wissen",",","dass","im","Glase","für","den","gebrochenen","Strahl","BE","(","Fig",".","143.",")","der","Winkel","FBE","leicht","aus","dem","Winkel","ABC",",","den","der","einfallende","Strahl","AB","mit","dem","Einfallslot","BC","macht",",","bestimmt","wird",",","und","dass","für","den","reflektierten","Strahl","BD","der","Winkel","CBD","=","CBA","ist","."],"orig_spans":[[0,3],[4,10],[10,11],[12,15],[16,18],[19,24],[25,29],[30,33],[34,45],[46,52],[53,55],[56,57],[57,61],[62,66],[66,67],[68,71],[72,78],[79,82],[83,89],[90,93],[94,97],[98,104],[105,108],[108,109],[110,113],[114,117],[118,129],[130,136],[137,139],[140,143],[144,147],[148,161],[162,164],[165,170],[170,171],[172,180],[181,185],[185,186],[187,190],[191,194],[195,199],[200,203],[204,216],[217,223],[224,226],[227,230],[231,237],[238,241],[242,243],[244,247],[248,251],[251,252]],"norm_spans":[[0,3],[4,10],[10,11],[12,16],[17,19],[20,25],[26,29],[30,33],[34,45],[46,52],[53,55],[56,57],[57,60],[60,61],[62,66],[66,67],[68,71],[72,78],[79,82],[83,89],[90,93],[94,97],[98,104],[105,108],[108,109],[110,113],[114,117],[118,129],[130,136],[137,139],[140,143],[144,147],[148,159],[160,162],[163,168],[168,169],[170,178],[179,183],[183,184],[185,188],[189,193],[194,197],[198,201],[202,215],[216,222],[223,225],[226,229],[230,236],[237,240],[241,242],[243,246],[247,250],[250,251]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[24,25],[25,26],[26,27],[27,28],[28,29],[29,30],[30,31],[31,32],[32,33],[33,34],[34,35],[35,36],[36,37],[37,38],[38,39],[39,40],[40,41],[41,42],[42,43],[43,44],[44,45],[45,46],[46,47],[47,48],[48,49],[49,50],[50,51],[51,52]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.537399768829346} +{"basename":"brandes_naturlehre02_1831","par_idx":2643,"date":1831,"orig":"Nun findet man fuͤr Glas, deſſen Brechungsverhaͤltniß ⅔ iſt, daß mit dem Neigungswinkel = 34° = ABG, oder ABC = 56°, der Winkel EBF = 33°. 33'. zuſammen gehoͤren wuͤrde, alſo DBE = 34° + 56° 27' = 90°. 27' ſein wuͤrde; — das Glas muͤßte das Brechungsverhaͤltniß 0,6745 oder beim Hervorgehen des Strahles 1,4826 haben, wenn genaue 90° herauskommen ſollten, oder wenn der Polariſationswinkel ganz genau 34° ſein ſollte . Hingegen ein Flintglas von der Brechung = 1,64 fordert hiernach einen Winkel von 31° 20', um die vollkommenſte Polariſirung hervorzubringen.","norm":"Nun findet man für Glas, dessen Brechungsverhältnis 2/3 ist, dass mit dem Neigungswinkel = 34 ° = ABG, oder ABC = 56 °, der Winkel EBF = 33 ° . 33' . zusammen gehören würde, also DBE = 34 ° + 56 ° 27' = 90 ° . 27' sein würde; — das Glas müsste das Brechungsverhältnis 0,6745 oder beim Hervorgehen des Strahles 1,4826 haben, wenn genaue 90 ° herauskommen sollten, oder wenn der Polarisationswinkel ganz genau 34 ° sein sollte . Hingegen ein Flintglas von der Brechung = 1,64 fordert hiernach einen Winkel von 31 ° 20', um die vollkommenste Polarisierung hervorzubringen.","orig_tok":["Nun","findet","man","fuͤr","Glas",",","deſſen","Brechungsverhaͤltniß","⅔","iſt",",","daß","mit","dem","Neigungswinkel","=","34","°","=","ABG",",","oder","ABC","=","56","°",",","der","Winkel","EBF","=","33","°",".","33'",".","zuſammen","gehoͤren","wuͤrde",",","alſo","DBE","=","34","°","+","56","°","27'","=","90","°",".","27'","ſein","wuͤrde",";","—","das","Glas","muͤßte","das","Brechungsverhaͤltniß","0,6745","oder","beim","Hervorgehen","des","Strahles","1,4826","haben",",","wenn","genaue","90","°","herauskommen","ſollten",",","oder","wenn","der","Polariſationswinkel","ganz","genau","34","°","ſein","ſollte",".","Hingegen","ein","Flintglas","von","der","Brechung","=","1,64","fordert","hiernach","einen","Winkel","von","31","°","20'",",","um","die","vollkommenſte","Polariſirung","hervorzubringen","."],"norm_tok":["Nun","findet","man","für","Glas",",","dessen","Brechungsverhältnis"," ","2","/","3"," 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+{"basename":"brandes_naturlehre02_1831","par_idx":2644,"date":1831,"orig":"Malus und Biot geben fuͤr Glas 35° 25' als den Polariſationswinkel an; da aber die Glaͤſer ſo ſehr ungleich ſind, ſo habe ich lieber den beibehalten, welcher dem Brechungsverhaͤltniß ⅔ beinahe entſpricht.","norm":"Malus und Biot geben für Glas 35 ° 25' als den Polarisationswinkel an; da aber die Gläser so sehr ungleich sind, so habe ich lieber den beibehalten, welcher dem Brechungsverhältnis 2/3 beinahe entspricht.","orig_tok":["Malus","und","Biot","geben","fuͤr","Glas","35","°","25'","als","den","Polariſationswinkel","an",";","da","aber","die","Glaͤſer","ſo","ſehr","ungleich","ſind",",","ſo","habe","ich","lieber","den","beibehalten",",","welcher","dem","Brechungsverhaͤltniß","⅔","beinahe","entſpricht","."],"norm_tok":["Malus","und","Biot","geben","für","Glas","35","°","25","'","als","den","Polarisationswinkel","an",";","da","aber","die","Gläser","so","sehr","ungleich","sind",",","so","habe","ich","lieber","den","beibehalten",",","welcher","dem","Brechungsverhältnis"," ","2","/","3"," ","beinahe","entspricht","."],"orig_spans":[[0,5],[6,9],[10,14],[15,20],[21,25],[26,30],[31,33],[33,34],[35,38],[39,42],[43,46],[47,66],[67,69],[69,70],[71,73],[74,78],[79,82],[83,90],[91,93],[94,98],[99,107],[108,112],[112,113],[114,116],[117,121],[122,125],[126,132],[133,136],[137,148],[148,149],[150,157],[158,161],[162,182],[183,184],[185,192],[193,203],[203,204]],"norm_spans":[[0,5],[6,9],[10,14],[15,20],[21,24],[25,29],[30,32],[33,34],[35,37],[37,38],[39,42],[43,46],[47,66],[67,69],[69,70],[71,73],[74,78],[79,82],[83,89],[90,92],[93,97],[98,106],[107,111],[111,112],[113,115],[116,120],[121,124],[125,131],[132,135],[136,147],[147,148],[149,156],[157,160],[161,180],[181,182],[182,183],[183,184],[184,185],[186,187],[187,194],[195,205],[205,206]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[8,9],[9,10],[10,11],[11,12],[12,13],[13,14],[14,15],[15,16],[16,17],[17,18],[18,19],[19,20],[20,21],[21,22],[22,23],[23,24],[24,25],[25,26],[26,27],[27,28],[28,29],[29,30],[30,31],[31,32],[32,33],[33,null],[34,null],[null,34],[null,35],[null,36],[null,37],[null,38],[null,39],[35,40],[36,41]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.419400215148926} +{"basename":"brandes_naturlehre02_1831","par_idx":2645,"date":1831,"orig":"Dies Geſetz findet ſelbſt da ſtatt, wo der Lichtſtrahl nicht aus Luft, ſondern aus einem andern fluͤſſigen Koͤrper in einen feſten Koͤrper uͤbergeht.","norm":"Dies Gesetz findet selbst da statt, wo der Lichtstrahl nicht aus Luft, sondern aus einem anderen flüssigen Körper in einen festen Körper 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+{"basename":"brandes_naturlehre02_1831","par_idx":2646,"date":1831,"orig":"Bedeckt man das Glas mit Terpentin-Oel, ſo leidet der Lichtſtrahl beim Uebergange aus dieſem in Glas gar keine Brechung und der Einfallswinkel muß daher 45° ſein, damit der eindringende und der zuruͤckgeworfene Strahl einen rechten Winkel mit einander machen, und wirklich findet man 45° dann als Polariſationswinkel.","norm":"Bedeckt man das Glas mit Terpentinöl, so leidet der Lichtstrahl beim Übergange aus diesem in Glas gar keine Brechung und der Einfallswinkel muss daher 45 ° sein, damit der eindringende und der zurückgeworfene Strahl einen rechten Winkel miteinander machen, und wirklich findet man 45 ° dann als 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+{"basename":"brandes_naturlehre02_1831","par_idx":2647,"date":1831,"orig":"Bei einigen Koͤrpern, namentlich ſolchen, die einen kleinen Einfallswinkel fordern, wird das Licht nicht vollſtaͤndig polariſirt; hier naͤmlich betraͤgt der, nach Verſchiedenheit der Koͤrper ſehr ungleiche, Antheil von Licht, der bei der Zuruͤckwerfung nicht polariſirt wird, ſo viel, daß man keine ſo vollſtaͤndige Erfolge wie bei andern Koͤrpern wahrnimmt.","norm":"Bei einigen Körpern, namentlich solchen, die einen kleinen Einfallswinkel fordern, wird das Licht nicht vollständig polarisiert; hier nämlich beträgt der, nach Verschiedenheit der Körper sehr ungleiche, Anteil von Licht, der bei der Zurückwerfung nicht polarisiert wird, so viel, dass man keine so vollständige Erfolge wie bei anderen Körpern 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+{"basename":"brandes_naturlehre02_1831","par_idx":2648,"date":1831,"orig":"Daß aber uͤberhaupt bei keinem Einfallswinkel eine durchaus vollkommene Polariſirung ſtatt finden kann, ſcheint ſchon aus der ungleichen Brechung der Farbenſtrahlen zu erhellen; denn beim Fraunhofer'ſchen Flintglaſe muͤßten die rothen Strahlen bei 31° 34', die violetten bei 30° 53' vollkommen polariſirt ſein; es bleibt alſo bei jedem Winkel noch etwas unpolariſirtes Licht uͤbrig, und mit dieſem verbindet ſich dasjenige, welches als zerſtreutes Licht von der Oberflaͤche zuruͤckgegeben dieſer Veraͤnderung gar nicht unterworfen iſt.","norm":"Dass aber überhaupt bei keinem Einfallswinkel eine durchaus vollkommene Polarisierung stattfinden kann, scheint schon aus der ungleichen Brechung der Farbenstrahlen zu erhellen; denn beim Fraunhoferschen Flintglase müssten die roten Strahlen bei 31 ° 34', die violetten bei 30 ° 53' vollkommen polarisiert sein; es bleibt also bei jedem Winkel noch etwas unpolarisiertes Licht 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daß ein Lichtſtrahl ſie unter 34 Grad Neigung trifft, ſo wird bekanntlich nur ein Theil des Lichtes von der erſten Platte durchgelaſſen, und der uͤbrige reflectirt; eben das geſchieht an der zweiten, dritten, vierten Platte, aber immer wird desjenigen Lichtes, welches der Zuruͤckwerfung unterworfen iſt, weniger, und nach dem Durchgange durch eine große Reihe von Platten hat der Strahl die Eigenſchaft erlangt, von einer mit den vorigen parallel gehaltenen Platte gar nicht mehr zuruͤckgeworfen zu werden, ſondern ungeſchwaͤcht durchzugehen, und ſich als polariſirt zu zeigen.","norm":"Wenn mehrere Platten guten Glases mit parallelen Oberflächen so parallel aufgestellt werden, dass ein Lichtstrahl sie unter 34 Grad Neigung trifft, so wird bekanntlich nur ein Teil des Lichtes von der ersten Platte durchgelassen, und der übrige reflektiert; eben das geschieht an der zweiten, dritten, vierten Platte, aber immer wird desjenigen Lichtes, welches der Zurückwerfung unterworfen ist, weniger, und 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einen Spiegel so fällt, dass die Reflexionsebene vertikal ist, (dass der zurückgeworfene Strahl sich in der durch den einfallenden gelegten vertikalen Ebene befindet,) oder ob diese Ebene horizontal ist, in welchem Falle ich das Auge in eben der Höhe, wo der einfallende Strahl liegt, halten muss, um den reflektierten Lichtstrahl zu erhalten; hier aber ist dieses nicht gleichgültig, und wenn ich im letzten Falle den Lichtstrahl wenig oder gar nicht zurückgeworfen fände, so würde ich schließen, dass jener horizontale Strahl die Modifikation, die Polarisierung heißt, erlitten hätte, dass er also schon von einem anderen Spiegel in vertikaler Ebene reflektiert sein möge, oder sonst einer polarisierenden Einwirkung ausgesetzt gewesen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2658,"date":1831,"orig":"Ebenſo fanden wir die durch doppelt brechende Cryſtalle durchgegangenen Strahlen ſo veraͤndert, daß ſie nach einer Richtung andre Eigenſchaften als nach der darauf ſenkrechten Richtung zeigten; und es bietet ſich daher die Frage dar, wiefern dieſe Polariſirung in doppelt brechenden Cryſtallen mit der hier betrachteten einerlei ſei, oder nicht.","norm":"Ebenso fanden wir die durch doppelt brechende Crystalle durchgegangenen Strahlen so verändert, dass sie nach einer Richtung andere Eigenschaften als nach der darauf senkrechten Richtung zeigten; und es bietet sich daher die Frage dar, wiefern diese Polarisierung in doppelt brechenden Kristallen mit der hier betrachteten einerlei sei, oder 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erinnern ſich, daß ein durch den Doppelſpath gegangener gewoͤhnlich gebrochener Strahl auch in einem zweiten Doppelſpathe gewoͤhnlich gebrochen wurde, wenn die Hauptſchnitte beider Cryſtalle parallel waren; wir koͤnnen alſo ſagen, bei dieſer Lage des zweiten Cryſtalles behalte der Strahl eben die Polariſirung, die er ſchon hatte, indem er, auch wenn ein dritter Cryſtall hinzu kaͤme, ſich beim Durchgange durch dieſen ſo verhalten wuͤrde, als wenn er nur durch einen Cryſtall gegangen waͤre.","norm":"Sie erinnern sich, dass ein durch den Doppelspat gegangener gewöhnlich gebrochener Strahl auch in einem zweiten Doppelspate gewöhnlich gebrochen wurde, wenn die Hauptschnitte beider Crystalle parallel waren; wir können also sagen, bei dieser Lage des zweiten Kristalles behalte der Strahl eben die Polarisierung, die er schon hatte, indem er, auch wenn ein dritter Kristall hinzukäme, sich beim durchgegangen durch diesen so verhalten würde, als wenn er nur durch einen Kristall gegangen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2662,"date":1831,"orig":"Iſt der zweite Cryſtall zwar immer ſo geſtellt, daß ſeine vom Strahle getroffenen Oberflaͤchen denen des erſten parallel ſind, aber zugleich ſo, daß der Hauptſchnitt des zweiten ſenkrecht auf den des erſten iſt, ſo leidet der Strahl ganz die ungewoͤhnliche Brechung, ohne ſich zu ſpalten, und behaͤlt dabei die Eigenſchaft, in einem dritten Cryſtalle ſich ebenſo zu verhalten, als wenn der zweite nicht da geweſen waͤre.","norm":"Ist der zweite Kristall zwar immer so gestellt, dass seine vom Strahle getroffenen Oberflächen denen des ersten parallel sind, aber zugleich so, dass der Hauptschnitt des zweiten senkrecht auf den des ersten ist, so leidet der Strahl ganz die ungewöhnliche Brechung, ohne sich zu spalten, und behält dabei die Eigenschaft, in einem dritten Crystalle sich ebenso zu verhalten, als wenn der zweite nicht da gewesen wäre.","orig_tok":["Iſt","der","zweite","Cryſtall","zwar","immer","ſo","geſtellt",",","daß","ſeine","vom","Strahle","getroffenen","Oberflaͤchen","denen","des","erſten","parallel","ſind",",","aber","zugleich","ſo",",","daß","der","Hauptſchnitt","des","zweiten","ſenkrecht","auf","den","des","erſten","iſt",",","ſo","leidet","der","Strahl","ganz","die","ungewoͤhnliche","Brechung",",","ohne","ſich","zu","ſpalten",",","und","behaͤlt","dabei","die","Eigenſchaft",",","in","einem","dritten","Cryſtalle","ſich","ebenſo","zu","verhalten",",","als","wenn","der","zweite","nicht","da","geweſen","waͤre","."],"norm_tok":["Ist","der","zweite","Kristall","zwar","immer","so","gestellt",",","dass","seine","vom","Strahle","getroffenen","Oberflächen","denen","des","ersten","parallel","sind",",","aber","zugleich","so",",","dass","der","Hauptschnitt","des","zweiten","senkrecht","auf","den","des","ersten","ist",",","so","leidet","der","Strahl","ganz","die","ungewöhnliche","Brechung",",","ohne","sich","zu","spalten",",","und","behält","dabei","die","Eigenschaft",",","in","einem","dritten","Crystalle","sich","ebenso","zu","verhalten",",","als","wenn","der","zweite","nicht","da","gewesen","wäre","."],"orig_spans":[[0,3],[4,7],[8,14],[15,23],[24,28],[29,34],[35,37],[38,46],[46,47],[48,51],[52,57],[58,61],[62,69],[70,81],[82,94],[95,100],[101,104],[105,111],[112,120],[121,125],[125,126],[127,131],[132,140],[141,143],[143,144],[145,148],[149,152],[153,165],[166,169],[170,177],[178,187],[188,191],[192,195],[196,199],[200,206],[207,210],[210,211],[212,214],[215,221],[222,225],[226,232],[233,237],[238,241],[242,256],[257,265],[265,266],[267,271],[272,276],[277,279],[280,287],[287,288],[289,292],[293,300],[301,306],[307,310],[311,322],[322,323],[324,326],[327,332],[333,340],[341,350],[351,355],[356,362],[363,365],[366,375],[375,376],[377,380],[381,385],[386,389],[390,396],[397,402],[403,405],[406,413],[414,419],[419,420]],"norm_spans":[[0,3],[4,7],[8,14],[15,23],[24,28],[29,34],[35,37],[38,46],[46,47],[48,52],[53,58],[59,62],[63,70],[71,82],[83,94],[95,100],[101,104],[105,111],[112,120],[121,125],[125,126],[127,131],[132,140],[141,143],[143,144],[145,149],[150,153],[154,166],[167,170],[171,178],[179,188],[189,192],[193,196],[197,200],[201,207],[208,211],[211,212],[213,215],[216,222],[223,226],[227,233],[234,238],[239,242],[243,256],[257,265],[265,266],[267,271],[272,276],[277,279],[280,287],[287,288],[289,292],[293,299],[300,305],[306,309],[310,321],[321,322],[323,325],[326,331],[332,339],[340,349],[350,354],[355,361],[362,364],[365,374],[374,375],[376,379],[380,384],[385,388],[389,395],[396,401],[402,404],[405,412],[413,417],[417,418]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.206099987030029} +{"basename":"brandes_naturlehre02_1831","par_idx":2663,"date":1831,"orig":"Dagegen wenn der Hauptſchnitt des zweiten einen vom rechten Winkel verſchiedenen Winkel mit dem Hauptſchnitte des erſten macht, ſo wird ſowohl der Strahl, welcher im erſten gewoͤhnlich gebrochen war, als der ungewoͤhnlich gebrochene in zwei Strahlen geſpalten, und dieſe Strahlen haben nun ihre Beziehung auf die Axe des erſten Cryſtalles ganz verlohren.","norm":"Dagegen wenn der Hauptschnitt des zweiten einen vom rechten Winkel verschiedenen Winkel mit dem Hauptschnitte des ersten macht, so wird sowohl der Strahl, welcher im ersten gewöhnlich gebrochen war, als der ungewöhnlich gebrochene in zwei Strahlen gespalten, und diese Strahlen haben nun ihre Beziehung auf die Achse des ersten Kristalles ganz 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+{"basename":"brandes_naturlehre02_1831","par_idx":2664,"date":1831,"orig":"Auf aͤhnliche Weiſe wie hier der im erſten Cryſtalle gewoͤhnlich gebrochene Strahl verhaͤlt ſich der unter dem Polariſationswinkel vom erſten Spiegel unſers Inſtrumentes reflectirte Strahl.","norm":"Auf ähnliche Weise wie hier der im ersten Crystalle gewöhnlich gebrochene Strahl verhält sich der unter dem Polarisationswinkel vom ersten Spiegel unseres Instrumentes reflektierte Strahl.","orig_tok":["Auf","aͤhnliche","Weiſe","wie","hier","der","im","erſten","Cryſtalle","gewoͤhnlich","gebrochene","Strahl","verhaͤlt","ſich","der","unter","dem","Polariſationswinkel","vom","erſten","Spiegel","unſers","Inſtrumentes","reflectirte","Strahl","."],"norm_tok":["Auf","ähnliche","Weise","wie","hier","der","im","ersten","Crystalle","gewöhnlich","gebrochene","Strahl","verhält","sich","der","unter","dem","Polarisationswinkel","vom","ersten","Spiegel","unseres","Instrumentes","reflektierte","Strahl","."],"orig_spans":[[0,3],[4,13],[14,19],[20,23],[24,28],[29,32],[33,35],[36,42],[43,52],[53,64],[65,75],[76,82],[83,91],[92,96],[97,100],[101,106],[107,110],[111,130],[131,134],[135,141],[142,149],[150,156],[157,169],[170,181],[182,188],[188,189]],"norm_spans":[[0,3],[4,12],[13,18],[19,22],[23,27],[28,31],[32,34],[35,41],[42,51],[52,62],[63,73],[74,80],[81,88],[89,93],[94,97],[98,103],[104,107],[108,127],[128,131],[132,138],[139,146],[147,154],[155,167],[168,180],[181,187],[187,188]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.018899917602539} +{"basename":"brandes_naturlehre02_1831","par_idx":2665,"date":1831,"orig":"Bringt man bei D einen Doppelſpath ſo an, daß der polariſirte Strahl ſenkrecht auf die natuͤrliche Oberflaͤche deſſelben trifft, ſo bleibt dieſer Strahl auch nach dem Durchgange ebenſo polariſirt, ſowohl wenn der Hauptſchnitt des Cryſtalles mit der erſten Reflexions-Ebne parallel, als wenn er ſenkrecht auf ſie iſt, bei allen andern Stellungen zeigt er ſich nicht mehr ſo polariſirt, daß der zweite Spiegel ihn nicht zuruͤckwerfen kann.","norm":"Bringt man bei D einen Doppelspat so an, dass der polarisierte Strahl senkrecht auf die natürliche Oberfläche desselben trifft, so bleibt dieser Strahl auch nach dem Durchgegangen ebenso polarisiert, sowohl wenn der Hauptschnitt des Kristalles mit der ersten Reflexionsebene parallel, als wenn er senkrecht auf sie ist, bei allen anderen Stellungen zeigt er sich nicht mehr so polarisiert, dass der zweite Spiegel ihn nicht zurückwerfen 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verſchwunden iſt.","norm":"Um die Entscheidung, ob der durch Zurückwerfung polarisierte Strahl dem im Crystalle gewöhnlich gebrochenen oder dem ungewöhnlich gebrochenen Strahle entspreche, zu erhalten, müsste man den polarisierten Strahl bei seinem Durchgegangen durch den Kristall noch genauer beobachten; und dann findet man, dass der auf beide Oberflächen senkrechte Strahl ganz ungebrochen durchgeht, wenn die Ebene des Hauptschnittes der ersten Reflexionsebene parallel ist, dass ein geringer Teil des Strahles der ungewöhnlichen Brechung folgt, ein größerer Anteil dagegen gewöhnlich gebrochen wird, wenn der Hauptschnitt wenig von dieser Richtung abweicht, dass dieser ungewöhnlich gebrochene Strahl immer mehr zunimmt, der gewöhnlich gebrochene immer mehr abnimmt, je mehr der Hauptschnitt sich der senkrechten Stellung gegen die Reflexions-Ebene nähert, dass bei 45 ° Neigung beide gleich sind, bei 90 ° der gewöhnlich gebrochene ganz verschwunden 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Lichttheilchen in die Ebne der Zuruͤckwerfung gebracht und ſenkrecht auf die Richtung des Strahles geſtellt, und daher ſei es erklaͤrlich, daß am zweiten Spiegel kein Theilchen reflectirt werde.","norm":"Biot fügt, seiner schon früher angeführten Ansicht gemäß, hinzu, bei der Zurückwerfung von einer polierten Oberfläche werde, wenn der Einfallswinkel die genaue Größe des Polarisationswinkels hat, die Achse aller zurückgeworfenen Lichtteilchen in die Ebene der Zurückwerfung gebracht und senkrecht auf die Richtung des Strahles gestellt, und daher sei es erklärlich, dass am zweiten Spiegel kein Teilchen reflektiert 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wenn man die eine Platte so dreht, dass ihre Ebene zwar immer noch der anderen parallel bleibt, aber jene Achsenrichtung in der einen nun senkrecht gegen die Achsenrichtung in der anderen wird, so wird das durchgehende Licht in hohem Grade geschwächt, ja bei hinreichender Dicke der Platten gänzlich 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+{"basename":"brandes_naturlehre02_1831","par_idx":2689,"date":1831,"orig":"Erklaͤrung der Polariſirung nach der Undulationstheorie.","norm":"Erklärung der Polarisierung nach der Undulationstheorie.","orig_tok":["Erklaͤrung","der","Polariſirung","nach","der","Undulationstheorie","."],"norm_tok":["Erklärung","der","Polarisierung","nach","der","Undulationstheorie","."],"orig_spans":[[0,10],[11,14],[15,27],[28,32],[33,36],[37,55],[55,56]],"norm_spans":[[0,9],[10,13],[14,27],[28,32],[33,36],[37,55],[55,56]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.659800052642822} +{"basename":"brandes_naturlehre02_1831","par_idx":2690,"date":1831,"orig":"Bei der Erklaͤrung aller Erſcheinungen, die nicht von Polariſation abhaͤngen, blieb die Undulationstheorie dem Grundſatze getreu, das Licht als dem Schalle analog anzuſehen, bei den Vibrationen nicht bloß eine kugelfoͤrmige Ausbreitung der Wellen anzunehmen, ſondern auch die Vibrationsbewegung der einzelnen Theilchen als ſenkrecht auf dieſe Wellenſchichten vorauszuſetzen.","norm":"Bei der Erklärung aller Erscheinungen, die nicht von Polarisation abhängen, blieb die Undulationstheorie dem Grundsatze getreu, das Licht als dem Schalle analog anzusehen, bei den Vibrationen nicht bloß eine kugelförmige Ausbreitung der Wellen anzunehmen, sondern auch die Vibrationsbewegung der einzelnen Teilchen als senkrecht auf diese Wellenschichten 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+{"basename":"brandes_naturlehre02_1831","par_idx":2691,"date":1831,"orig":"In Beziehung hierauf konnte man von einem verduͤnnten Aether in der einen Haͤlfte der Welle, von einem verdichteten in der andern Haͤlfte reden, und das Entſtehen der Interferenzen nach den Geſetzen, wie ſie bei elaſtiſch fluͤſſigen Koͤrpern ſtatt finden muͤſſen, erklaͤren.","norm":"In Beziehung hierauf konnte man von einem verdünnten Äther in der einen Hälfte der Welle, von einem verdichteten in der anderen Hälfte reden, und das Entstehen der Interferenzen nach den Gesetzen, wie sie bei elastisch flüssigen Körpern stattfinden müssen, 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+{"basename":"brandes_naturlehre02_1831","par_idx":2692,"date":1831,"orig":"Aber die Erſcheinungen der Polariſation ließen ſich nach dieſen Anſichten nicht erklaͤren und Fresnel fand daher noͤthig, in Beziehung auf ſie ganz andre Vorausſetzungen anzunehmen.","norm":"Aber die Erscheinungen der Polarisation ließen sich nach diesen Ansichten nicht erklären und Fresnel fand daher nötig, in Beziehung auf sie ganz andere Voraussetzungen anzunehmen.","orig_tok":["Aber","die","Erſcheinungen","der","Polariſation","ließen","ſich","nach","dieſen","Anſichten","nicht","erklaͤren","und","Fresnel","fand","daher","noͤthig",",","in","Beziehung","auf","ſie","ganz","andre","Vorausſetzungen","anzunehmen","."],"norm_tok":["Aber","die","Erscheinungen","der","Polarisation","ließen","sich","nach","diesen","Ansichten","nicht","erklären","und","Fresnel","fand","daher","nötig",",","in","Beziehung","auf","sie","ganz","andere","Voraussetzungen","anzunehmen","."],"orig_spans":[[0,4],[5,8],[9,22],[23,26],[27,39],[40,46],[47,51],[52,56],[57,63],[64,73],[74,79],[80,89],[90,93],[94,101],[102,106],[107,112],[113,120],[120,121],[122,124],[125,134],[135,138],[139,142],[143,147],[148,153],[154,169],[170,180],[180,181]],"norm_spans":[[0,4],[5,8],[9,22],[23,26],[27,39],[40,46],[47,51],[52,56],[57,63],[64,73],[74,79],[80,88],[89,92],[93,100],[101,105],[106,111],[112,117],[117,118],[119,121],[122,131],[132,135],[136,139],[140,144],[145,151],[152,167],[168,178],[178,179]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.800300121307373} +{"basename":"brandes_naturlehre02_1831","par_idx":2693,"date":1831,"orig":"Er bemerkte, daß die bis dahin gehegte Meinung, es muͤſſe die Materie, in welcher das Licht ſich fortpflanzt, ein elaſtiſches Fluidum ſein, in welchem die an einander liegenden Theilchen unmittelbar ſich beruͤhren, in welchem dieſe Theilchen ſich nach Verhaͤltniß des Druckes zuſammendruͤcken laſſen, eine viel zu beſchraͤnkte ſei, und daß man uͤber die Art der Vibrationen der Lichtwellen eine andre Vorſtellung faſſen muͤſſe.","norm":"Er bemerkte, dass die bis dahin gehegte Meinung, es müsse die Materie, in welcher das Licht sich fortpflanzt, ein elastisches Fluidum sein, in welchem die aneinander liegenden Teilchen unmittelbar sich berühren, in welchem diese Teilchen sich nach Verhältnis des Druckes zusammendrücken lassen, eine viel zu beschränkte sei, und dass man über die Art der Vibrationen der Lichtwellen eine andere Vorstellung fassen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2694,"date":1831,"orig":"Wenn die Vibrationen der Aethertheilchen nach der Richtung des Strahles gehen, wie wir es mit gutem Grunde beim Schalle annehmen, ſo iſt nicht einzuſehen, wie der Lichtſtrahl in Beziehung auf die eine Seite andre Modificationen leiden koͤnne, als in Beziehung auf die um einen rechten Winkel von jener abſtehende Seite; die Moͤglichkeit einer ſolchen Verſchiedenheit wird dagegen klar, wenn wir Quervibrationen vorausſetzen.","norm":"Wenn die Vibrationen der Ätherteilchen nach der Richtung des Strahles gehen, wie wir es mit gutem Grunde beim Schalle annehmen, so ist nicht einzusehen, wie der Lichtstrahl in Beziehung auf die eine Seite andere Modifikationen leiden könne, als in Beziehung auf die um einen rechten Winkel von jener abstehende Seite; die Möglichkeit einer solchen Verschiedenheit wird dagegen klar, wenn wir Quervibrationen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2696,"date":1831,"orig":"Fresnel hat die Moͤglichkeit einer bei dieſer Querrichtung der Verſchiebung dennoch ſtatt findenden Fortpflanzung von einer Kugelſchichte zur andern nachgewieſen, indem er folgendes bemerkt:","norm":"Fresnel hat die Möglichkeit einer bei dieser Querrichtung der Verschiebung dennoch statt findenden Fortpflanzung von einer Kugelschichte zur anderen nachgewiesen, indem er folgendes 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+{"basename":"brandes_naturlehre02_1831","par_idx":2697,"date":1831,"orig":"Wenn wir uns einzeln ſtehende Koͤrperchen, welche zu einem Gleichgewichte gelangt ſind, denken, und ſie, um der leichtern Vorſtellung willen, als in parallele Schichten geordnet anſehen; ſo koͤnnten die in einer Schichte liegenden und in dieſer Schichte bleibenden nicht von ihrer Stelle weichen, ohne vermoͤge der nun geaͤnderten Attractionen und Repulſionen auch in den Koͤrpern der naͤchſten Schichte eine Aenderung der Lage hervorzubringen; — ſo alſo werde eine einmal erregte Quervibration ſich von Schichte zu Schichte fortpflanzen.","norm":"Wenn wir uns einzeln stehende Körperchen, welche zu einem Gleichgewichte gelangt sind, denken, und sie, um der leichteren Vorstellung willen, als in parallele Schichten geordnet ansehen; so könnten die in einer Schicht liegenden und in dieser Schicht bleibenden nicht von ihrer Stelle weichen, ohne vermöge der nun geänderten Attraktionen und Repulsionen auch in den Körpern der nächsten Schicht eine Änderung der Lage hervorzubringen; — so also werde eine einmal erregte Quervibration sich von Schicht zu Schicht 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Bewegung auch mitteilen, warum der durch eine kleine Öffnung eindringende Strahl nach der Richtung des Strahles, welche senkrecht auf jene Quervibrationen ist, die starken Wirkungen der Erleuchtung hervorbringt oder die Entstehung neuer gleich starker Quervibrationen zur Folge hat, statt dass seitwärts nur die kaum merklichen Phänomene der Beugung des Lichtes stattfinden, in den Gegenden, wohin die Ausweichungen der Ätherteilchen gerade gerichtet sind, und, wie es scheint, gerade die stärkste Wirkung hervorbringen 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durch die Richtung des Strahles und der Axe gelegte Ebne.","norm":"Nach Fresnels Vorstellung sollen wir uns nun diese Ausweichungen der einzelnen Teilchen im unpolarisierten Strahle als nach verschiedenen Richtungen in so schneller Folge eintretend denken, dass keine einzelne Richtung der Vibrationen den Vorzug vor der anderen hat; im polarisierten Strahle hingegen sind diese Quervibrationen nur nach einer Richtung da, und die Veränderung, welche der Strahl bei der Polarisation leidet, besteht also darin, dass die in unendlich schneller Folge wechselnden Richtungen der Vibrationen in den unpolarisierten Strahlen hier dagegen in immer gleiche Richtungen gebracht werden, dass da, wo zwei Strahlen bei der doppelten Brechung hervorgebracht werden, durch eine Zerlegung nach zwei aufeinander senkrechten Richtungen, die Vibrationen des einen Strahles in einer durch seine Richtung und die Richtung der Achse gehenden Ebene vorgehen, die des anderen Strahles in einer Ebene senkrecht auf die durch die Richtung des Strahles und der Achse gelegte 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+{"basename":"brandes_naturlehre02_1831","par_idx":2707,"date":1831,"orig":"Er ſetzt keine nach der Natur fluͤſſiger Koͤrper bedingte Verbindung der einzelnen Theilchen derjenigen Materie, in welcher das Licht ſich fortpflanzt, voraus, ſondern ſucht die Bewegungen zu beſtimmen, die bei getrennten, durch Attraction und Repulſion auf einander wirkenden Theilchen entſtehen koͤnnen.","norm":"Er setzt keine nach der Natur flüssiger Körper bedingte Verbindung der einzelnen Teilchen derjenigen Materie, in welcher das Licht sich fortpflanzt, voraus, sondern sucht die Bewegungen zu bestimmen, die bei getrennten, durch Attraktion und Repulsion aufeinander wirkenden Teilchen entstehen 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Die ferneren Folgerungen findet Cauchy den Erfahrungen uͤber die doppelte Brechung ſehr entſprechend und Fresnel's Vorſtellung von Quervibrationen gerechtfertigt; es koͤmmt aber hier alles darauf an, daß zuerſt die Gruͤnde der allgemeinen Unterſuchung deutlicher entwickelt, dann die beſchraͤnkenden Vorausſetzungen uͤber die Geſetze der Wirkſamkeit der hier thaͤtigen Kraͤfte gepruͤft werden, und endlich die Frage vollſta��ndig entſchieden werde, ob in einer Rechnung, wo man allerdings manche Glieder der Formeln, ihrer Kleinheit wegen, wird weglaſſen duͤrfen, nicht eine zu große Willkuͤr in dieſer Hinſicht, dadurch aber Unſicherheit der ganzen Schlußfolge eintrete.","norm":"Sind die anfänglichen Verschiebungen der Teilchen zwar in einer Ebene, aber nach allen möglichen Richtungen in derselben wechselnd, so soll sich aus dieser Theorie ergeben, dass die entstehenden drei Strahlen eine Polarisierung ganz in dem von Fresnel angenommenen Sinne haben, und dass jeder dieser Strahlen bei der Fortpflanzung in einem sich gleichen elastischen Mittel nun keine neue Spaltung mehr leidet, u. s. w. 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H., neulich erklaͤrte, bieten zwar viel Unerwartetes und Ueberraſchendes dar, aber ſie werden von den jetzt anzugebenden bei weitem uͤbertroffen durch die glanzvollen Farben-Erſcheinungen, welche ſich, gleichfalls durch die Polariſation hervorgebracht, darſtellen laſſen.","norm":"Die Versuche über die Polarisierung des Lichtes, welche ich Ihnen, m. 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ersten Spiegel reflektierte Licht weißer Wolken hell hervortreten, wenn der Hauptschnitt des Kristalles schief gegen die erste Reflexionsebene geneigt war, und wieder in Dunkelheit verschwinden, wenn jener Hauptschnitt mit der ersten Reflexionsebene parallel oder auf sie senkrecht 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+{"basename":"brandes_naturlehre02_1831","par_idx":2718,"date":1831,"orig":"Depolariſirung einiger Farbenſtrahlen.","norm":"Depolarisierung einiger Farbenstrahlen.","orig_tok":["Depolariſirung","einiger","Farbenſtrahlen","."],"norm_tok":["Depolarisierung","einiger","Farbenstrahlen","."],"orig_spans":[[0,14],[15,22],[23,37],[37,38]],"norm_spans":[[0,15],[16,23],[24,38],[38,39]],"alignment":[[0,0],[1,1],[2,2],[3,3]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.011300086975098} +{"basename":"brandes_naturlehre02_1831","par_idx":2719,"date":1831,"orig":"Wenn man blaͤtterigen Gyps, Frauen-Eis, Selenit, ein Mineral, das ſich in ſehr feine, voͤllig durchſichtige und farbenloſe Blaͤtter zertheilen laͤßt, in ſehr duͤnnen Blaͤttern dem aus dem erſten Spiegel zuruͤckgeworfenen polariſirten Strahle ſenkrecht darbietet, und das Auge in der gehoͤrigen Stellung auf den zweiten Spiegel richtet, ſo bemerkt man in vier Stellungen jenes Blattes ein Verſchwinden des Bildes, in allen dazwiſchen liegenden Stellungen dagegen iſt es ſchoͤn gefaͤrbt ſichtbar, und die Farben ſind faſt bei jedem andern Blaͤttchen andre.","norm":"Wenn man blätterigen Gips, Fraueneis, Selenit, ein Mineral, das sich in sehr feine, völlig durchsichtige und farbenlose Blätter zerteilen lässt, in sehr dünnen Blättern dem aus dem ersten Spiegel zurückgeworfenen polarisierten Strahle senkrecht darbietet, und das Auge in der gehörigen Stellung auf den zweiten Spiegel richtet, so bemerkt man in vier Stellungen jenes Blattes ein Verschwinden des Bildes, in allen dazwischen liegenden Stellungen dagegen ist es schön gefärbt sichtbar, und die Farben sind fast bei jedem anderen Blättchen andere.","orig_tok":["Wenn","man","blaͤtterigen","Gyps",",","Frauen-Eis",",","Selenit",",","ein","Mineral",",","das","ſich","in","ſehr","feine",",","voͤllig","durchſichtige","und","farbenloſe","Blaͤtter","zertheilen","laͤßt",",","in","ſehr","duͤnnen","Blaͤttern","dem","aus","dem","erſten","Spiegel","zuruͤckgeworfenen","polariſirten","Strahle","ſenkrecht","darbietet",",","und","das","Auge","in","der","gehoͤrigen","Stellung","auf","den","zweiten","Spiegel","richtet",",","ſo","bemerkt","man","in","vier","Stellungen","jenes","Blattes","ein","Verſchwinden","des","Bildes",",","in","allen","dazwiſchen","liegenden","Stellungen","dagegen","iſt","es","ſchoͤn","gefaͤrbt","ſichtbar",",","und","die","Farben","ſind","faſt","bei","jedem","andern","Blaͤttchen","andre","."],"norm_tok":["Wenn","man","blätterigen","Gips",",","Fraueneis",",","Selenit",",","ein","Mineral",",","das","sich","in","sehr","feine",",","völlig","durchsichtige","und","farbenlose","Blätter","zerteilen","lässt",",","in","sehr","dünnen","Blättern","dem","aus","dem","ersten","Spiegel","zurückgeworfenen","polarisierten","Strahle","senkrecht","darbietet",",","und","das","Auge","in","der","gehörigen","Stellung","auf","den","zweiten","Spiegel","richtet",",","so","bemerkt","man","in","vier","Stellungen","jenes","Blattes","ein","Verschwinden","des","Bildes",",","in","allen","dazwischen","liegenden","Stellungen","dagegen","ist","es","schön","gefärbt","sichtbar",",","und","die","Farben","sind","fast","bei","jedem","anderen","Blättchen","andere","."],"orig_spans":[[0,4],[5,8],[9,21],[22,26],[26,27],[28,38],[38,39],[40,47],[47,48],[49,52],[53,60],[60,61],[62,65],[66,70],[71,73],[74,78],[79,84],[84,85],[86,93],[94,107],[108,111],[112,122],[123,131],[132,142],[143,148],[148,149],[150,152],[153,157],[158,165],[166,175],[176,179],[180,183],[184,187],[188,194],[195,202],[203,220],[221,233],[234,241],[242,251],[252,261],[261,262],[263,266],[267,270],[271,275],[276,278],[279,282],[283,293],[294,302],[303,306],[307,310],[311,318],[319,326],[327,334],[334,335],[336,338],[339,346],[347,350],[351,353],[354,358],[359,369],[370,375],[376,383],[384,387],[388,400],[401,404],[405,411],[411,412],[413,415],[416,421],[422,432],[433,442],[443,453],[454,461],[462,465],[466,468],[469,475],[476,484],[485,493],[493,494],[495,498],[499,502],[503,509],[510,514],[515,519],[520,523],[524,529],[530,536],[537,547],[548,553],[553,554]],"norm_spans":[[0,4],[5,8],[9,20],[21,25],[25,26],[27,36],[36,37],[38,45],[45,46],[47,50],[51,58],[58,59],[60,63],[64,68],[69,71],[72,76],[77,82],[82,83],[84,90],[91,104],[105,108],[109,119],[120,127],[128,137],[138,143],[143,144],[145,147],[148,152],[153,159],[160,168],[169,172],[173,176],[177,180],[181,187],[188,195],[196,212],[213,226],[227,234],[235,244],[245,254],[254,255],[256,259],[260,263],[264,268],[269,271],[272,275],[276,285],[286,294],[295,298],[299,302],[303,310],[311,318],[319,326],[326,327],[328,330],[331,338],[339,342],[343,345],[346,350],[351,361],[362,367],[368,375],[376,379],[380,392],[393,396],[397,403],[403,404],[405,407],[408,413],[414,424],[425,434],[435,445],[446,453],[454,457],[458,460],[461,466],[467,474],[475,483],[483,484],[485,488],[489,492],[493,499],[500,504],[505,509],[510,513],[514,519],[520,527],[528,537],[538,544],[544,545]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87],[88,88],[89,89]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.64900016784668} +{"basename":"brandes_naturlehre02_1831","par_idx":2720,"date":1831,"orig":"Dieſer blaͤtterige Gyps iſt ein doppelt brechendes Mineral; es beſteht aus prismatiſchen Cryſtallen, deren Grundflaͤche ein ſchiefwinkliches Parallelogramm iſt, und die zwei Axen doppelter Brechung liegen in der Grundflaͤche ſelbſt, das iſt, in der Ebne der Blaͤttchen, die wir mit ziemlich leichter Muͤhe abloͤſen, und die gern die Form jenes ſchiefen Parallelogrammes annehmen, welche als eigentliche Cryſtallform dieſer Blaͤttchen anzuſehen iſt.","norm":"Dieser blätterige Gips ist ein doppelt brechendes Mineral; es besteht aus prismatischen Kristallen, deren Grundfläche ein schiefwinkliches Parallelogramm ist, und die zwei Achsen doppelter Brechung liegen in der Grundfläche selbst, das ist, in der Ebene der Blättchen, die wir mit ziemlich leichter Mühe ablösen, und die gern die Form jenes schiefen Parallelogrammes annehmen, welche als eigentliche Kristallform dieser Blättchen anzusehen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2721,"date":1831,"orig":"Die Mittellinie zwiſchen beiden Axen macht nach Biot's Beſtimmung einen Winkel von 16¼ Grad mit der einen Seite des Parallelogrammes, und dieſe Mittellinie iſt es, die wir hier vorzuͤglich zu beachten haben.","norm":"Die Mittellinie zwischen beiden Achsen macht nach Biots Bestimmung einen Winkel von 161/4 Grad mit der einen Seite des Parallelogrammes, und diese Mittellinie ist es, die wir hier vorzüglich zu beachten 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+{"basename":"brandes_naturlehre02_1831","par_idx":2722,"date":1831,"orig":"Immer bleiben unſre duͤnnen Cryſtalltafeln ſenkrecht auf die Richtung des polariſirten Strahles, aber wir geben ihnen, indem wir ſie, ohne ſie von der ſenkrechten Stellung zu entfernen, drehen, mannigfaltig verſchiedene Lagen.","norm":"Immer bleiben unsere dünnen Kristalltafeln senkrecht auf die Richtung des polarisierten Strahles, aber wir geben ihnen, indem wir sie, ohne sie von der senkrechten Stellung zu entfernen, drehen, mannigfaltig verschiedene 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+{"basename":"brandes_naturlehre02_1831","par_idx":2723,"date":1831,"orig":"Sieht man dann, ohne den zweiten Spiegel anzuwenden, durch das Gypsblaͤttchen von O her in den erſten Spiegel, ſo nimmt man das Bild der weißen Wolken (denn von dieſen laͤßt man hier am liebſten Licht auffallen, weil die Farbe der Flamme ſtoͤrend iſt,) hell und ohne Faͤrbung wahr; bringt man aber den zweiten Spiegel wieder in diejenige Stellung, wo er die polariſirten Strahlen nicht zuruͤckwarf, und ſucht das Bild der glaͤnzenden Wolken, welches vom erſten Spiegel her im zweiten ſichtbar ſein ſollte, auf; ſo erſcheint dieſes erſtlich hoͤchſt dunkel, faſt gar nicht, wenn jene Mittellinie des Blaͤttchens in der Ebne der erſten Reflexions-Ebne liegt, dagegen zweitens tritt dieſes Bild immer heller und heller, und mit einer ſich immer glaͤnzender zeigenden Farbe hervor, wenn man jene Mittellinie von der erſten Reflexions-Ebne entfernt, bis ſie bei 45° Entfernung den groͤßten Glanz erreicht; von da an nimmt der Glanz ab, und — drittens — bei der Entfernung = 90° iſt wieder Dunkelheit da.","norm":"Sieht man dann, ohne den zweiten Spiegel anzuwenden, durch das Gipsblättchen von O her in den ersten Spiegel, so nimmt man das Bild der weißen Wolken (denn von diesen lässt man hier am liebsten Licht auffallen, weil die Farbe der Flamme störend ist,) hell und ohne Färbung wahr; bringt man aber den zweiten Spiegel wieder in diejenige Stellung, wo er die polarisierten Strahlen nicht zurückwarf, und sucht das Bild der glänzenden Wolken, welches vom ersten Spiegel her im zweiten sichtbar sein sollte, auf; so erscheint dieses erstlich höchst dunkel, fast gar nicht, wenn jene Mittellinie des Blättchens in der Ebene der ersten Reflexionsebene liegt, dagegen zweitens tritt dieses Bild immer heller und heller, und mit einer sich immer glänzender zeigenden Farbe hervor, wenn man jene Mittellinie von der ersten Reflexionsebene entfernt, bis sie bei 45 ° Entfernung den größten Glanz erreicht; von da an nimmt der 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ſtatt des zweiten an der Ruͤckſeite geſchwaͤrzten Spiegels eines durchſichtigen Glaſes, aber in den richtigen Polariſationswinkel und ſo geſtellt, daß die polariſirten Strahlen nicht zuruͤckgeworfen werden, bedient, ſo ſieht man durch Spiegelung in dieſem zweiten Glaſe noch die vorigen Erſcheinungen; haͤlt man aber das Auge in O, um die durchgehenden Strahlen zu empfangen, ſo ſieht man das Bild der weißen Wolken weiß, wenn die Zuruͤckwerfung aufhoͤrt (bei der Stellung der Platte in 0°, 90°, 180°, 270°,); dagegen erſcheint das Bild der Wolken farbig, und zwar mit derjenigen Farbe, welche der durch Spiegelung geſehenen als Ergaͤnzungsfarbe zugehoͤrt, wenn die Stellung des Gypsblaͤttchens eine mittlere iſt.","norm":"Wenn man sich statt des zweiten an der Rückseite geschwärzten Spiegels eines durchsichtigen Glases, aber in den richtigen Polarisationswinkel und so gestellt, dass die polarisierten Strahlen nicht zurückgeworfen werden, bedient, so sieht man durch Spiegelung in diesem zweiten 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+{"basename":"brandes_naturlehre02_1831","par_idx":2731,"date":1831,"orig":"Das hier erſcheinende durchgelaſſene Licht iſt zwar immer nur wenig gefaͤrbt, weil das geſammte reflectirte Licht doch nur einen geringen Theil des vorhandenen Lichtes ausmacht, das durchgegangene Licht alſo viel weiße Strahlen enthaͤlt; aber die Faͤrbung iſt deutlich genug, um den neulich ſchon ausgeſprochenen Satz zu beſtaͤtigen, daß da, wo gar kein Licht reflectirt wird, alles Licht durchgeht, ſtatt daß hier in dem Falle da ein Antheil gruͤnen Lichtes reflectirt wird, ſich in dem durchgehenden ein deutlicher Ueberſchuß an violettem Lichte zeigen muß, und wo violettes Licht zuruͤckgeworfen wird, das durchgelaſſene Licht gruͤnlich iſt.","norm":"Das hier erscheinende durchgelassene Licht ist zwar immer nur wenig gefärbt, weil das gesamte reflektierte Licht doch nur einen geringen Teil des vorhandenen Lichtes ausmacht, das durchgegangene Licht also viel weiße Strahlen enthält; aber die Färbung ist deutlich genug, um den neulich schon ausgesprochenen Satz zu bestätigen, dass da, wo gar kein Licht reflektiert wird, alles Licht durchgeht, statt dass hier in dem Falle da ein Anteil grünen Lichtes reflektiert wird, sich in dem durchgehenden ein deutlicher Überschuss an violettem Lichte zeigen muss, und wo violettes Licht zurückgeworfen wird, das durchgelassene Licht grünlich 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+{"basename":"brandes_naturlehre02_1831","par_idx":2733,"date":1831,"orig":"Wenn man den zweiten Spiegel wegnimmt und an deſſen Stelle einen Doppelſpath, deſſen gegen FI gekehrte Flaͤche bedeckt iſt und nur durch ein einziges Loͤchelchen dem Lichtſtrahle Zutritt laͤßt, ſo befeſtigt, daß der vom erſten Spiegel kommende Strahl ſeine Oberflaͤche ſenkrecht trifft; ſo ſieht man, das Gypsblaͤttchen mag ganz fehlen oder ſeine Hauptlinie mag mit der erſten Reflexions-Ebne parallel oder auf ſie ſenkrecht ſein, auch durch den Doppelſpath keine farbigen Bilder.","norm":"Wenn man den zweiten Spiegel wegnimmt und an dessen Stelle einen Doppelspat, dessen gegen FI gekehrte Fläche bedeckt ist und nur durch ein einziges Lochchen dem Lichtstrahl Zutritt lässt, so befestigt, dass der vom ersten Spiegel kommende Strahl seine Oberfläche senkrecht trifft; so sieht man, das Gipsblättchen mag ganz fehlen oder seine Hauptlinie mag mit der ersten Reflexionsebene parallel oder auf sie senkrecht sein, auch durch den Doppelspat keine farbigen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2735,"date":1831,"orig":"Aber dieſe Farbenloſigkeit hoͤrt ſogleich auf, wenn das Gypsblaͤttchen eine andre Stellung, verſchieden von jenen beiden Stellungen hat, und am beſten treten die Farben der Bilder auch in dieſem Falle hervor, wenn die Hauptlinie des Blaͤttchens, das iſt, die Mittellinie zwiſchen ſeinen Axen, 45° gegen jene Zuruͤckwerfungs-Ebne geneigt iſt.","norm":"Aber diese Farbenlosigkeit hört sogleich auf, wenn das Gipsblättchen eine andere Stellung, verschieden von jenen beiden Stellungen hat, und am besten treten die Farben der Bilder auch in diesem Falle hervor, wenn die Hauptlinie des Blättchens, das ist, die Mittellinie zwischen seinen Achsen, 45 ° gegen jene Zurückwerfungsebene geneigt 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+{"basename":"brandes_naturlehre02_1831","par_idx":2736,"date":1831,"orig":"Bleibt hier noch immer der Doppelſpath an der Stelle des zweiten Spiegels, und empfaͤngt er das Licht durch ein einziges in der Bedeckung ſeiner Vorderſeite gemachtes Loͤchelchen; ſo ſieht man nun bei jeder Stellung des Doppelſpathes ein doppeltes Bild, das aber ſeine Farben bei ungleicher Stellung des Doppelſpaths aͤndert.","norm":"Bleibt hier noch immer der Doppelspat an der Stelle des zweiten Spiegels, und empfängt er das Licht durch ein einziges in der Bedeckung seiner Vorderseite gemachtes Lochchen; so sieht man nun bei jeder Stellung des Doppelspates ein doppeltes Bild, das aber seine Farben bei ungleicher Stellung des Doppelspaths 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+{"basename":"brandes_naturlehre02_1831","par_idx":2737,"date":1831,"orig":"Ich nehme an, daß, wie in dem vorhin erwaͤhnten Falle, das Gypsblaͤttchen ein gelbliches Gruͤn bei der einen Stellung des Spiegels, ein Purpur bei der andern Stellung zeigte; ſo ſieht man im Doppelſpath die beiden Bilder mit eben dieſen Farben erſcheinen, wenn der Hauptſchnitt des Doppelſpaths parallel mit der erſten Zuruͤckwerfungs-Ebne oder ſenkrecht gegen ſie iſt, dagegen weiß bei der genau mittleren Stellung; in den Lagen, die zwiſchen 0° und 45° liegen, und ebenſo zwiſchen 45° und 90° wird die Faͤrbung deſto ſchwaͤcher, je naͤher der Cryſtall die genaue mittlere Stellung erreicht.","norm":"Ich nehme an, dass, wie in dem vorhin erwähnten Falle, das Gipsblättchen ein gelbliches Grün bei der einen Stellung des Spiegels, ein Purpur bei der anderen Stellung zeigte; so sieht man im Doppelspat die beiden Bilder mit eben diesen Farben erscheinen, wenn der Hauptschnitt des Doppelspaths parallel mit der ersten Zurückwerfungsebene oder senkrecht gegen sie ist, dagegen weiß bei der genau mittleren Stellung; in den Lagen, die zwischen 0 ° und 45 ° liegen, und ebenso zwischen 45 ° und 90 ° wird die Färbung desto schwächer, je näher der Kristall die genaue mittlere Stellung 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+{"basename":"brandes_naturlehre02_1831","par_idx":2739,"date":1831,"orig":"Ich fuͤrchte, daß dieſe Eroͤrterung einzelner Faͤlle Ihnen ermuͤdend ſcheinen kann, aber dennoch noͤthigt mich die große Merkwuͤrdigkeit der hier ſtatt findenden Erſcheinungen, noch etwas laͤnger bei dieſen Gegenſaͤtzen zu verweilen; damit ich aber die Ueberſicht erleichtere, will ich die Betrachtung der einzelnen Faͤlle mit den fruͤhern Betrachtungen in Verbindung ſetzen.","norm":"Ich fürchte, dass diese Erörterung einzelner Fälle Ihnen ermüdend scheinen kann, aber dennoch nötigt mich die große Merkwürdigkeit der hier statt findenden Erscheinungen, noch etwas länger bei diesen Gegensätzen zu verweilen; damit ich aber die Übersicht erleichtere, will ich die Betrachtung der einzelnen Fälle mit den früheren Betrachtungen in Verbindung 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+{"basename":"brandes_naturlehre02_1831","par_idx":2740,"date":1831,"orig":"Sie erinnern ſich, daß der aus dem erſten Spiegel kommende, vollkommen polariſirte Strahl ganz einem im Doppelſpathe gewoͤhnlich gebrochenen Strahle glich, wenn des Doppelſpaths Hauptſchnitt der Zuruͤckwerfungs-Ebne parallel iſt.","norm":"Sie erinnern sich, dass der aus dem ersten Spiegel kommende, vollkommen polarisierte Strahl ganz einem im Doppelspate gewöhnlich gebrochenen Strahle glich, wenn des Doppelspaths Hauptschnitt der Zurückwerfungsebene parallel 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+{"basename":"brandes_naturlehre02_1831","par_idx":2741,"date":1831,"orig":"So lange das Cryſtallblaͤttchen diejenige Lage hat, bei welcher die Art der Polariſirung des Strahles ungeaͤndert bleibt, wo naͤmlich die Mittellinie beider Axen, die hier die Stelle des Hauptſchnittes vertritt, parallel mit der Zuruͤckwerfungs-Ebne oder ſenkrecht auf ſie iſt, bringt die Gegenwart dieſes Gypsblaͤttchens keine Wirkung hervor, — das Bild des weißen Himmels erſcheint am dunkelſten im zweiten Spiegel bei der Stellung auf 90° und vollkommen hell bei 0° oder 180°, der vom Doppelſpath durchgelaſſene Strahl iſt einfach, keiner Spaltung unterworfen, wenn ſein Hauptſchnitt in 0°, 90°, 180°, gerichtet iſt, dagegen doppelt bei den dazwiſchen liegenden Stellungen.","norm":"Solange das Kristallblättchen diejenige Lage hat, bei welcher die Art der Polarisierung des Strahles ungeändert bleibt, wo nämlich die Mittellinie beider Achsen, die hier die Stelle des Hauptschnittes vertritt, parallel mit der Zurückwerfungsebene oder senkrecht auf sie ist, bringt die Gegenwart dieses Gipsblättchens keine Wirkung hervor, — das Bild des weißen Himmels erscheint am dunkelsten im zweiten Spiegel bei der Stellung auf 90 ° und vollkommen hell bei 0 ° oder 180 °, der vom Doppelspat durchgelassene Strahl ist einfach, keiner Spaltung unterworfen, wenn sein Hauptschnitt in 0 °, 90 °, 180 °, gerichtet ist, dagegen doppelt bei den dazwischen liegenden 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+{"basename":"brandes_naturlehre02_1831","par_idx":2742,"date":1831,"orig":"Dagegen wenn deſ Gypsblaͤttchens Hauptlinie auf 45° gerichtet iſt, ſo iſt der Lichtſtrahl theilweiſe depolariſirt, und die Erſcheinung iſt nur darin von derjenigen verſchieden, die ein dickerer doppelt brechender Koͤrper darbietet, daß die einzelnen Farbenſtrahlen eine ungleiche Depolariſirung erleiden.","norm":"Dagegen wenn des Gipsblättchens Hauptlinie auf 45 ° gerichtet ist, so ist der Lichtstrahl teilweise depolarisiert, und die Erscheinung ist nur darin von derjenigen verschieden, die ein dickerer doppelt brechender Körper darbietet, dass die einzelnen Farbenstrahlen eine ungleiche Depolarisierung 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+{"basename":"brandes_naturlehre02_1831","par_idx":2743,"date":1831,"orig":"Um bei unſerm Blaͤttchen, dem die Farben Gruͤn und Purpur angehoͤrten, zu bleiben, muͤſſen wir hier ſagen, die gruͤnen Strahlen haben ihre Polariſirung verlohren, die Purpurſtrahlen haben ſie behalten, daher werden jene nun aus dem zweiten Spiegel, der die in der Richtung der erſten Reflexions- Ebne polariſirten Strahlen nicht zuruͤckgab, (bei der Querſtellung ſeiner Reflexions-Ebne,) zuruͤckgeworfen, und die andern hingegen, die Purpurſtrahlen, werden da zuruͤckgeworfen (bei der Parallelſtellung ſeiner Reflexions-Ebne,) wo die polariſirten Strahlen reflectirt wurden.","norm":"Um bei unserem Blättchen, dem die Farben Grün und Purpur angehörten, zu bleiben, müssen wir hier sagen, die grünen Strahlen haben ihre Polarisierung verloren, die Purpurstrahlen haben sie behalten, daher werden jene nun aus dem zweiten Spiegel, der die in der Richtung der ersten Reflexions-Ebene polarisierten Strahlen nicht zurückgab, (bei der Querstellung seiner Reflexionsebene,) zurückgeworfen, und die anderen hingegen, die Purpurstrahlen, werden da zurückgeworfen (bei der Parallelstellung seiner Reflexionsebene,) wo die polarisierten Strahlen reflektiert 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+{"basename":"brandes_naturlehre02_1831","par_idx":2745,"date":1831,"orig":"Das Durchſehen durch einen Doppelſpath, den man an die Stelle des zweiten Spiegels bringt, um durch ihn grade in den erſten Spiegel zu blicken, ergiebt eben das.","norm":"Das Durchsehen durch einen Doppelspat, den man an die Stelle des zweiten Spiegels bringt, um durch ihn gerade in den ersten Spiegel zu blicken, ergibt eben 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+{"basename":"brandes_naturlehre02_1831","par_idx":2747,"date":1831,"orig":"Die gruͤnen Strahlen ſind jetzt nicht mehr in der Richtung der erſten Reflexions-Ebne, ſondern auf ſie ſenkrecht polariſirt, ſie leiden alſo, wenn der Doppelſpath ſeinen Hauptſchnitt in jener Ebne hat, (auf 0°) die ungewoͤhnliche Brechung, ſtatt daß die Purpurſtrahlen als in jener Ebne polariſirt, den gewoͤhnlich gebrochenen Strahl geben; dreht man den Doppelſpath um 90°, ſo haben ſich die Farben vertauſcht, weil der in der erſten Zuruͤckwerfungs-Ebne polariſirte Purpurſtrahl nun der ungewoͤhnlich gebrochene Strahl iſt; dieſer Uebergang vom Gruͤn zum Purpur, dem ein entgegengeſetzter Uebergang des andern Strahles entſpricht, findet dadurch ſtatt, daß beide Bilder weiß erſcheinen, wenn der Doppelſpath die Mittelſtellung hat, und ſo muß es ſein, weil der Doppelſpath dann eben ſo viele Lichttheile aus dem nach der einen Richtung polariſirten Purpurſtrahle als aus dem nach der darauf ſenkrechten Richtung polariſirten gruͤnen Strahle in dem gewoͤhnlich gebrochenen Strahle, und ebenſo auch in dem ungewoͤhnlich gebrochenen Strahle, vereinigt.","norm":"Die grünen Strahlen sind jetzt nicht mehr in der Richtung der ersten Reflexionsebene, sondern auf sie senkrecht polarisiert, sie leiden also, wenn der Doppelspat seinen Hauptschnitt in jener Ebene hat, (auf 0 °) die ungewöhnliche Brechung, statt dass die Purpurstrahlen als in jener Ebene polarisiert, den gewöhnlich gebrochenen Strahl geben; dreht man den Doppelspat um 90 °, so haben sich die Farben vertauscht, weil der in der ersten Zurückwerfungsebene polarisierte Purpurstrahl nun der ungewöhnlich gebrochene Strahl ist; dieser Übergang vom Grün zum Purpur, dem ein entgegengesetzter Übergang des anderen Strahles entspricht, findet dadurch statt, dass beide Bilder weiß erscheinen, wenn der Doppelspat die Mittelstellung hat, und so muss es sein, weil der Doppelspat dann ebenso viele Lichtteile aus dem nach der einen Richtung polarisierten Purpurstrahl als aus dem nach der darauf senkrechten Richtung polarisierten grünen Strahle in dem gewöhnlich gebrochenen Strahle, und ebenso auch in dem ungewöhnlich gebrochenen Strahle, 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ſeinem Hauptſchnitte der erſten Reflexions-Ebne parallel ſteht und dieſe vertical iſt; ſo wiſſen Sie, daß BO der gewoͤhnliche, BE der ungewoͤhnliche Strahl iſt, daß alſo der gewoͤhnliche der untere iſt, wenn die Axe GH des Cryſtalles von oben nach unten gegen den Beobachter P zu geht, und dieſer gewoͤhnlich gebrochene Strahl muß alſo in unſerm Falle Purpur darſtellen, wenn es gegruͤndet iſt, daß der in der erſten Reflexions-Ebne polariſirt bleibende Strahl mit dem gewoͤhnlich gebrochenen Strahle des ſo geſtellten Doppelſpathcryſtalls uͤbereinſtimmt.","norm":"Wenn die Richtung des aus dem ersten Spiegel kommenden Strahles AB (Fig . 144.) ziemlich nahe horizontal ist, das Gipsblättchen auf 45 ° steht, der Doppelspat mit seinem Hauptschnitte der ersten Reflexionsebene parallel steht und diese vertikal ist; so wissen Sie, dass BO der gewöhnliche, BE der ungewöhnliche Strahl ist, dass also der gewöhnliche der untere ist, wenn die Achse GH des Kristalles von oben nach unten gegen den 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+{"basename":"brandes_naturlehre02_1831","par_idx":2751,"date":1831,"orig":"Beſtimmung der Farbe nach der Dicke des Gypsblaͤttchens.","norm":"Bestimmung der Farbe nach der Dicke des Gipsblättchens.","orig_tok":["Beſtimmung","der","Farbe","nach","der","Dicke","des","Gypsblaͤttchens","."],"norm_tok":["Bestimmung","der","Farbe","nach","der","Dicke","des","Gipsblättchens","."],"orig_spans":[[0,10],[11,14],[15,20],[21,25],[26,29],[30,35],[36,39],[40,55],[55,56]],"norm_spans":[[0,10],[11,14],[15,20],[21,25],[26,29],[30,35],[36,39],[40,54],[54,55]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.924599885940551} +{"basename":"brandes_naturlehre02_1831","par_idx":2752,"date":1831,"orig":"Ich verweile jetzt nicht bei den Erſcheinungen, die ein in andre Stellungen gegen die erſte Reflexions-Ebne gebrachtes Gypsblaͤttchen hervorbringt, indem die Mannigfaltigkeit der Erſcheinungen zu groß iſt, um hier umſtaͤndlich erklaͤrt zu werden; dagegen muß ich bei dem Geſetze, nach welchem ſich die Entſtehung der Verſchiedenheit der Farben richtet, nothwendig verweilen.","norm":"Ich verweile jetzt nicht bei den Erscheinungen, die ein in andere Stellungen gegen die erste Reflexionsebene gebrachtes Gipsblättchen hervorbringt, indem die Mannigfaltigkeit der Erscheinungen zu groß ist, um hier umständlich erklärt zu werden; dagegen muss ich bei dem Gesetze, nach welchem sich die Entstehung der Verschiedenheit der Farben richtet, notwendig 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+{"basename":"brandes_naturlehre02_1831","par_idx":2753,"date":1831,"orig":"Und hiebei bietet ſich die auffallendſte Uebereinſtimmung derjenigen Farben, die wir hier beobachten, mit denen, die Sie in den Newton'ſchen Farbenringen kennen gelernt haben, dar.","norm":"Und hierbei bietet sich die auffallendste Übereinstimmung derjenigen Farben, die wir hier beobachten, mit denen, die Sie in den Newton'schen Farbenringen kennen gelernt haben, dar.","orig_tok":["Und","hiebei","bietet","ſich","die","auffallendſte","Uebereinſtimmung","derjenigen","Farben",",","die","wir","hier","beobachten",",","mit","denen",",","die","Sie","in","den","Newton'ſchen","Farbenringen","kennen","gelernt","haben",",","dar","."],"norm_tok":["Und","hierbei","bietet","sich","die","auffallendste","Übereinstimmung","derjenigen","Farben",",","die","wir","hier","beobachten",",","mit","denen",",","die","Sie","in","den","Newton'schen","Farbenringen","kennen","gelernt","haben",",","dar","."],"orig_spans":[[0,3],[4,10],[11,17],[18,22],[23,26],[27,40],[41,57],[58,68],[69,75],[75,76],[77,80],[81,84],[85,89],[90,100],[100,101],[102,105],[106,111],[111,112],[113,116],[117,120],[121,123],[124,127],[128,140],[141,153],[154,160],[161,168],[169,174],[174,175],[176,179],[179,180]],"norm_spans":[[0,3],[4,11],[12,18],[19,23],[24,27],[28,41],[42,57],[58,68],[69,75],[75,76],[77,80],[81,84],[85,89],[90,100],[100,101],[102,105],[106,111],[111,112],[113,116],[117,120],[121,123],[124,127],[128,140],[141,153],[154,160],[161,168],[169,174],[174,175],[176,179],[179,180]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.180699825286865} +{"basename":"brandes_naturlehre02_1831","par_idx":2754,"date":1831,"orig":"Biot hat die Dicke vieler Blaͤttchen ſorgfaͤltig abgemeſſen und gefunden, daß die Farben, welche der Polariſation entzogen werden, genau in eben dem Zuſammenhange mit dem Verhaͤltniß der Dicken der Blaͤttchen ſtehen, wie die Farben der durch Zuruͤckwerfung entſtehenden Newton'ſchen Ringe mit den Dicken der Luftſchichten.","norm":"Biot hat die Dicke vieler Blättchen sorgfältig abgemessen und gefunden, dass die Farben, welche der Polarisation entzogen werden, genau in eben dem Zusammenhang mit dem Verhältnis der Dicken der Blättchen stehen, wie die Farben der durch Zurückwerfung entstehenden Newton'schen Ringe mit den Dicken der 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+{"basename":"brandes_naturlehre02_1831","par_idx":2755,"date":1831,"orig":"Nach Biot's Verſuchen war es zum Beiſpiel ein Blaͤttchen von 82 Tauſendteln eines Millimeters (ungefaͤhr 3 Tauſendtel Zoll), welches das Blau des erſten ſchoͤnen Farbenringes gab, und es fand ſich nun in allen Faͤllen beſtaͤtigt, daß ein doppelt ſo dickes Blaͤttchen eben die Farbe Orange des zweiten ſchoͤnen Farbenringes) gab, die man bei Newton's Farbenringen da erhaͤlt, wo die Luftſchichte doppelt ſo dick iſt, als bei jenem Blau; oder allgemein, daß man das Verhaͤltniß der Dicke eines zweiten Blaͤttchens zu jenem erſten nur zu kennen brauchte, um die der Polariſirung entzogene Farbe zu beſtimmen, welche immer diejenige war, die dem Verhaͤltniſſe der Dicken der Luftſchichten bei Newton's Verſuchen entſpricht.","norm":"Nach Biots Versuchen war es zum Beispiel ein Blättchen von 82 Tausendtelen eines Millimeters (ungefähr 3 Tausendtele Zoll), welches das Blau des ersten schönen Farbenringes gab, und es fand sich nun in allen Fällen bestätigt, dass ein doppelt so dickes Blättchen eben die Farbe Orange des zweiten schönen Farbenringes) gab, die man bei Newtons Farbenringen da erhält, wo die Luftschichte doppelt so dick ist, als bei jenem Blau; oder allgemein, dass man das Verhältnis der Dicke eines zweiten Blättchens zu jenem ersten nur zu kennen brauchte, um die der Polarisierung entzogene Farbe zu bestimmen, welche immer diejenige war, die dem Verhältnisse der Dicken der Luftschichten bei Newtons Versuchen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2765,"date":1831,"orig":"Wenn alſo bei einfarbigem gruͤnem Lichte, das ſo polariſirt war, daß es aus dem zweiten Spiegel nicht zuruͤckgeworfen wurde, die Dicke des Blaͤttchens grade einer ſolchen Periode entſpricht, ſo geht das Lichttheilchen in einer neuen Richtung polariſirt hervor, und die Ebne dieſer Polariſation iſt doppelt ſo weit von der urſpruͤnglichen Polariſations-Ebne entfernt, als die Hauptlinie des Blaͤttchens von derſelben entfernt iſt.","norm":"Wenn also bei einfarbigem grünem Lichte, das so polarisiert war, dass es aus dem zweiten Spiegel nicht zurückgeworfen wurde, die Dicke des Blättchens gerade einer solchen Periode entspricht, so geht das Lichtteilchen in einer neuen Richtung polarisiert hervor, und die Ebene dieser Polarisation ist doppelt so weit von der ursprünglichen Polarisationsebene entfernt, als die Hauptlinie des Blättchens von derselben entfernt 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+{"basename":"brandes_naturlehre02_1831","par_idx":2766,"date":1831,"orig":"Bei der von uns vorhin angenommenen Lage der Hauptlinie in 45° Neigung, iſt alſo das Aeußerſte der Oſcillation = 90°, und das hervorgehende gruͤne Lichttheilchen wird nun grade bei der Stellung des zweiten Spiegels vollkommen gut reflectirt, bei welcher es vorhin gar nicht reflectirt wurde, und umgekehrt, wenn man den zweiten Spiegel in die Stellung bringt, wo vorhin die Zuruͤckwerfung des polariſirten Lichtes ſtatt fand, ſo ſieht man nur Dunkel, weil jenes einfarbige Licht gaͤnzlich in die neue Polariſirung uͤbergegangen iſt.","norm":"Bei der von uns vorhin angenommenen Lage der Hauptlinie in 45 ° Neigung, ist also das Äußerste der Oszillation = 90 °, und das hervorgehende grüne Lichtteilchen wird nun gerade bei der Stellung des zweiten Spiegels vollkommen gut reflektiert, bei welcher es vorhin gar nicht reflektiert wurde, und umgekehrt, wenn man den zweiten Spiegel in die Stellung bringt, wo vorhin die 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Polarisation angenommen, wenn die Platte den grünen Strahlen entsprechend gewählt war, und die Erscheinung des Rot würde daher minder lebhaft stattfinden; — und so für jede andere Farbe würde eine andere Dicke der Blättchen erfordert werden, um die Erscheinungen den vollendeten Perioden entsprechend zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2770,"date":1831,"orig":"Hat nun das Blaͤttchen die Dicke, welche einem ganzen Ausweichen oder einer vollendeten Oſcillation des Gruͤn entſpricht, ſo werden die Theilchen gruͤnen Lichtes genau und die dem Gruͤn benachbarten Theile nahe genug in die neue Polariſations- Ebne gebracht ſein; die rothen Strahlen dagegen und alle weit vom Gruͤn liegenden Farbentheilchen ſind noch zu nahe bei der anfaͤnglichen Polariſations-Ebne, und zeigen ſich als nach dem Durchgange ſo polariſirt, wie ſie es vorher waren.","norm":"Hat nun das Blättchen die Dicke, welche einem ganzen Ausweichen oder einer vollendeten Oszillation des Grün entspricht, so werden die Teilchen grünen Lichtes genau und die dem Grün benachbarten Teile nahe genug in die neue Polarisations-Ebene gebracht sein; die roten Strahlen dagegen und alle weit vom Grün liegenden Farbenteilchen sind noch zu nahe bei der anfänglichen Polarisationsebene, und zeigen sich als nach dem Durchgegangen so polarisiert, wie sie es vorher 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+{"basename":"brandes_naturlehre02_1831","par_idx":2773,"date":1831,"orig":"Weicht dieſe Richtung noch wenig ab, ſo iſt die Farbe noch wenig lichtvoll, weil der Spiegel die in einer wenig vortheilhaften Richtung polariſirten Strahlen ſchlecht zuruͤckwirft; iſt die Abweichung 45°, ſo iſt die Zuruͤckwerfung vollkommen; bei einer noch weiter fortruͤckenden Stellung des Blaͤttchens geht die Lage der neuen Polariſations-Ebne uͤber 90° hinaus und wird alſo minder vortheilhaft; aber das mehrere oder wenigere Licht iſt immer von gleicher Farbe.","norm":"Weicht diese Richtung noch wenig ab, so ist die Farbe noch wenig lichtvoll, weil der Spiegel die in einer wenig vorteilhaften Richtung polarisierten Strahlen schlecht zurückwirft; ist die Abweichung 45 °, so ist die Zurückwerfung vollkommen; bei einer noch weiter fortrückenden Stellung des Blättchens geht die Lage der neuen Polarisationsebene über 90 ° hinaus und wird also minder vorteilhaft; aber das mehrere oder weniger Licht ist immer von 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+{"basename":"brandes_naturlehre02_1831","par_idx":2775,"date":1831,"orig":"Hier wird die Ergaͤnzungsfarbe von jener immer zuruͤckgeworfen; aber bei einer geringen Neigung der Hauptlinie des Blaͤttchens gegen dieſe Ebne wird auch viel von der in der neuen Richtung polariſirten Farbe zuruͤckgeworfen, wodurch dann ein nur wenig in jene Ergaͤnzungsfarbe hinuͤbergehendes Weiß hervorgeht; erſt bei einer Richtung der Hauptlinie, die nahe gegen 45° iſt, fehlt jene Farbe ganz, und die Ergaͤnzungsfarbe tritt rein hervor.","norm":"Hier wird die Ergänzungsfarbe von jener immer zurückgeworfen; aber bei einer geringen Neigung der Hauptlinie des Blättchens gegen diese Ebene wird auch viel von der in der neuen Richtung polarisierten Farbe zurückgeworfen, wodurch dann ein nur wenig in jene Ergänzungsfarbe hinübergehendes Weiß hervorgeht; erst bei einer Richtung der Hauptlinie, die nahe gegen 45 ° ist, fehlt jene Farbe ganz, und die Ergänzungsfarbe tritt rein 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+{"basename":"brandes_naturlehre02_1831","par_idx":2793,"date":1831,"orig":"Das durch den Doppelſpath ſehende Auge erhaͤlt alſo einen aus zwei Strahlen zuſammen hervorgegangenen nach BF polariſirten Strahl, und eine Verbindung zweier nach BG und nach BH polariſirter Strahlen; und hier ſind die zwei erſten zuſammen treffenden Strahlen der Interferenz faͤhig, weil ſie nach gleicher Richtung polariſirt ſind und aus einem und demſelben urſpruͤnglichen polariſirten Strahle herſtammen; die zwei letzten ſind es auch, da ihre Polariſirungs-Ebne eine und dieſelbe iſt, wenn gleich die Polariſirung nach BD ſich nach den Richtungen BF, BH, und die nach BE ſich nach BF, BG zerlegt hat.","norm":"Das durch den Doppelspat sehende Auge erhält also einen aus zwei Strahlen zusammen hervorgegangenen nach BF polarisierten Strahl, und eine Verbindung zweier nach BG und nach BH polarisierter Strahlen; und hier sind die zwei ersten zusammen treffenden Strahlen der Interferenz fähig, weil sie nach gleicher Richtung polarisiert sind und aus einem und demselben ursprünglichen polarisierten Strahle herstammen; die zwei letzten sind es auch, da ihre Polarisirungs-Ebne eine und dieselbe ist, wenn gleich die Polarisierung nach BD sich nach den Richtungen BF, BH, und die nach BE sich nach BF, BG zerlegt 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+{"basename":"brandes_naturlehre02_1831","par_idx":2795,"date":1831,"orig":"Hat zum Beiſpiel das Gypsblaͤttchen die Dicke, daß grade die Wellen gruͤnen Lichtes um eine ganze Wellenlaͤnge aus einander ſind, ſo gehen dieſe im erſten Strahle vollkommen verſtaͤrkt, die benachbarten blauen und gelben, (als der Phaſe vollkommener Gleichheit nahe,) etwas ſich verſtaͤrkend hervor, und der erſte Strahl zeigt ſich uns gruͤn; der zweite dagegen zeigt, — vermoͤge der noch nicht erklaͤrten, aber der Beobachtung entſprechenden Eigenthuͤmlichkeit, eine halbe Wellenlaͤnge zu verlieren, — eine Verſtaͤrkung der Farben, deren Wellen um eine halbe Wellenlaͤnge von einander entfernt ſind, das iſt, derer die im erſten Strahle wegen ihrer ſich zerſtoͤrenden Interferenz nicht ſichtbar wurden.","norm":"Hat zum Beispiel das Gipsblättchen die Dicke, dass gerade die Wellen grünen Lichtes um eine ganze Wellenlänge auseinander sind, so gehen diese im ersten Strahle vollkommen verstärkt, die benachbarten blauen und gelben, (als der Phase vollkommener Gleichheit nahe,) etwas sich verstärkend hervor, und der erste Strahl zeigt sich uns grün; der zweite dagegen zeigt, — vermöge der noch nicht erklärten, aber der Beobachtung entsprechenden Eigentümlichkeit, eine halbe Wellenlänge zu verlieren, — eine Verstärkung der Farben, deren Wellen um eine halbe Wellenlänge voneinander entfernt sind, das ist, derer die im ersten Strahle wegen ihrer sich zerstörenden Interferenz nicht sichtbar 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+{"basename":"brandes_naturlehre02_1831","par_idx":2796,"date":1831,"orig":"Daß ſo im letztern Strahle die Ergaͤnzungsfarben des erſten erſcheinen, iſt offenbar.","norm":"Dass so im letzteren Strahle die Ergänzungsfarben des ersten erscheinen, ist offenbar.","orig_tok":["Daß","ſo","im","letztern","Strahle","die","Ergaͤnzungsfarben","des","erſten","erſcheinen",",","iſt","offenbar","."],"norm_tok":["Dass","so","im","letzteren","Strahle","die","Ergänzungsfarben","des","ersten","erscheinen",",","ist","offenbar","."],"orig_spans":[[0,3],[4,6],[7,9],[10,18],[19,26],[27,30],[31,48],[49,52],[53,59],[60,70],[70,71],[72,75],[76,84],[84,85]],"norm_spans":[[0,4],[5,7],[8,10],[11,20],[21,28],[29,32],[33,49],[50,53],[54,60],[61,71],[71,72],[73,76],[77,85],[85,86]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":7.264299869537353} +{"basename":"brandes_naturlehre02_1831","par_idx":2797,"date":1831,"orig":"Wenn zwei Blaͤttchen mit gekreuzten Axen die Erſcheinung hervorbringen, ſo wirken ſie einem duͤnnern Blaͤttchen gleich; denn der im erſten Blaͤttchen gewoͤhnlich gebrochene Strahl iſt im zweiten der ungewoͤhnlich gebrochene, und das im erſten Blaͤttchen eingetretene Voreilen der einen Wellenfolge vor der andern wird daher im zweiten, wenn dieſes das duͤnnere iſt, zum Theil wieder ausgeglichen, und zwar genau ſo, wie es dem Unterſchiede der Dicken gemaͤß iſt.","norm":"Wenn zwei Blättchen mit gekreuzten Achsen die Erscheinung hervorbringen, so wirken sie einem dünneren Blättchen gleich; denn der im ersten Blättchen gewöhnlich gebrochene Strahl ist im zweiten der ungewöhnlich gebrochene, und das im ersten Blättchen eingetretene Voreilen der einen Wellenfolge vor der anderen wird daher im zweiten, wenn dieses das dünnere ist, zum Teil wieder ausgeglichen, und zwar genau so, wie es dem Unterschiede der Dicken gemäß 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+{"basename":"brandes_naturlehre02_1831","par_idx":2798,"date":1831,"orig":"Die Farbenmiſchung wird bei dickern Blaͤttchen eintreten, wenn die Voreilung der einen Wellenfolge vier Wellenlaͤngen der kuͤrzern und drei Wellenlaͤngen der laͤngern Wellen betraͤgt und ſo weiter.","norm":"Die Farbenmischung wird bei dickeren Blättchen eintreten, wenn die Voreilung der einen Wellenfolge vier Wellenlängen der kürzeren und drei Wellenlängen der längeren Wellen beträgt und so 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muß.","norm":"Diese Erklärung, die sich leicht auf den Fall, wo ein zweiter Spiegel da ist, anwenden lässt, bringt allerdings auf eine sehr genügende Weise die Erscheinungen unter eine den Gesetzen der Undulationen gemäße Ansicht, und obgleich die Entstehung der Polarisation noch genauer erklärt werden muss, obgleich die Eigentümlichkeit, dass nur ein schon ursprünglich polarisierter Strahl zu diesen Interferenzen Veranlassung geben kann, und dass in dem einen jener Strahlen die Differenz der Wege eine halbe Wellenlänge, in dem anderen eine ganze Wellenlänge betragen muss, wenn eine das Licht zerstörende Interferenz stattfinden soll, noch manches Unerklärtes enthält, so lässt sich doch die Verbindung mit den Perioden der Anwandlungen und alles, was die Hauptumstände der Erscheinung betrifft, hier so vollkommen übersehen, dass man das Eintreten der Interferenzen wohl als den wahren Grund dieser Erscheinungen ansehen 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wird.","orig_tok":["Die","erſtern","naͤmlich","erleiden","gar","keine","Veraͤnderung",",","die","zweiten","erleiden","zwar","eine","ſchwache","Brechung",",","aber","ſo","daß","(","um","den","kuͤrzeſten","Ausdruck","zu","gebrauchen",",",")","die","Axen","der","Lichttheilchen","ihre","Stellung","nicht","aͤndern",",","ſondern","der","erſten","Reflexions-Ebne","parallel","bleiben",";","eben","das","iſt","der","Fall","bei","den","ein","wenig","ſchief","geneigten","Strahlen",",","die","eine","auf","dem","Doppelſpathe","ſenkrecht","gegen","die","erſte","Reflexions-Ebne","gezogene","Linie","treffen",";","daher","erſcheint","ein","ſchwarzes","Kreuz",",","deſſen","Lage","durch","die","auf","dem","Doppelſpathe","in","der","Reflexions-Ebne","und","ſenkrecht","gegen","ſie","gezogene","Linie","beſtimmt","wird","."],"norm_tok":["Die","ersteren","nämlich","erleiden","gar","keine","Veränderung",",","die","zweiten","erleiden","zwar","eine","schwache","Brechung",",","aber","so","dass","(","um","den","kürzesten","Ausdruck","zu","gebrauchen",",",")","die","Achsen","der","Lichtteilchen","ihre","Stellung","nicht","ändern",",","sondern","der","ersten","Reflexionsebene","parallel","bleiben",";","eben","das","ist","der","Fall","bei","den","ein","wenig","schief","geneigten","Strahlen",",","die","eine","auf","dem","Doppelspate","senkrecht","gegen","die","erste","Reflexionsebene","gezogene","Linie","treffen",";","daher","erscheint","ein","schwarzes","Kreuz",",","dessen","Lage","durch","die","auf","dem","Doppelspate","in","der","Reflexionsebene","und","senkrecht","gegen","sie","gezogene","Linie","bestimmt","wird","."],"orig_spans":[[0,3],[4,11],[12,20],[21,29],[30,33],[34,39],[40,52],[52,53],[54,57],[58,65],[66,74],[75,79],[80,84],[85,93],[94,102],[102,103],[104,108],[109,111],[112,115],[116,117],[117,119],[120,123],[124,134],[135,143],[144,146],[147,157],[157,158],[158,159],[160,163],[164,168],[169,172],[173,187],[188,192],[193,201],[202,207],[208,215],[215,216],[217,224],[225,228],[229,235],[236,251],[252,260],[261,268],[268,269],[270,274],[275,278],[279,282],[283,286],[287,291],[292,295],[296,299],[300,303],[304,309],[310,316],[317,326],[327,335],[335,336],[337,340],[341,345],[346,349],[350,353],[354,366],[367,376],[377,382],[383,386],[387,392],[393,408],[409,417],[418,423],[424,431],[431,432],[433,438],[439,448],[449,452],[453,462],[463,468],[468,469],[470,476],[477,481],[482,487],[488,491],[492,495],[496,499],[500,512],[513,515],[516,519],[520,535],[536,539],[540,549],[550,555],[556,559],[560,568],[569,574],[575,583],[584,588],[588,589]],"norm_spans":[[0,3],[4,12],[13,20],[21,29],[30,33],[34,39],[40,51],[51,52],[53,56],[57,64],[65,73],[74,78],[79,83],[84,92],[93,101],[101,102],[103,107],[108,110],[111,115],[116,117],[117,119],[120,123],[124,133],[134,142],[143,145],[146,156],[156,157],[157,158],[159,162],[163,169],[170,173],[174,187],[188,192],[193,201],[202,207],[208,214],[214,215],[216,223],[224,227],[228,234],[235,250],[251,259],[260,267],[267,268],[269,273],[274,277],[278,281],[282,285],[286,290],[291,294],[295,298],[299,302],[303,308],[309,315],[316,325],[326,334],[334,335],[336,339],[340,344],[345,348],[349,352],[353,364],[365,374],[375,380],[381,384],[385,390],[391,406],[407,415],[416,421],[422,429],[429,430],[431,436],[437,446],[447,450],[451,460],[461,466],[466,467],[468,474],[475,479],[480,485],[486,489],[490,493],[494,497],[498,509],[510,512],[513,516],[517,532],[533,536],[537,546],[547,552],[553,556],[557,565],[566,571],[572,580],[581,585],[585,586]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83],[84,84],[85,85],[86,86],[87,87],[88,88],[89,89],[90,90],[91,91],[92,92],[93,93],[94,94],[95,95]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.080599784851074} +{"basename":"brandes_naturlehre02_1831","par_idx":2810,"date":1831,"orig":"Alle von dieſen beiden Ebnen abweichenden Strahlen veraͤndern die Richtung ihrer Polariſation, und da hier aͤhnliche Umſtaͤnde wie bei den duͤnnen Gypsblaͤttchen eintreten, ſo werden nur gewiſſe Farbenſtrahlen depolariſirt.","norm":"Alle von diesen beiden Ebnen abweichenden Strahlen verändern die Richtung ihrer Polarisation, und da hier ähnliche Umstände wie bei den dünnen Gipsblättchen eintreten, so werden nur gewisse Farbenstrahlen depolarisiert.","orig_tok":["Alle","von","dieſen","beiden","Ebnen","abweichenden","Strahlen","veraͤndern","die","Richtung","ihrer","Polariſation",",","und","da","hier","aͤhnliche","Umſtaͤnde","wie","bei","den","duͤnnen","Gypsblaͤttchen","eintreten",",","ſo","werden","nur","gewiſſe","Farbenſtrahlen","depolariſirt","."],"norm_tok":["Alle","von","diesen","beiden","Ebnen","abweichenden","Strahlen","verändern","die","Richtung","ihrer","Polarisation",",","und","da","hier","ähnliche","Umstände","wie","bei","den","dünnen","Gipsblättchen","eintreten",",","so","werden","nur","gewisse","Farbenstrahlen","depolarisiert","."],"orig_spans":[[0,4],[5,8],[9,15],[16,22],[23,28],[29,41],[42,50],[51,61],[62,65],[66,74],[75,80],[81,93],[93,94],[95,98],[99,101],[102,106],[107,116],[117,126],[127,130],[131,134],[135,138],[139,146],[147,161],[162,171],[171,172],[173,175],[176,182],[183,186],[187,194],[195,209],[210,222],[222,223]],"norm_spans":[[0,4],[5,8],[9,15],[16,22],[23,28],[29,41],[42,50],[51,60],[61,64],[65,73],[74,79],[80,92],[92,93],[94,97],[98,100],[101,105],[106,114],[115,123],[124,127],[128,131],[132,135],[136,142],[143,156],[157,166],[166,167],[168,170],[171,177],[178,181],[182,189],[190,204],[205,218],[218,219]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.890500068664551} +{"basename":"brandes_naturlehre02_1831","par_idx":2811,"date":1831,"orig":"Man mag naͤmlich hier entweder nach Biot's Anſicht den polariſirenden Kraͤften, die bei ſo geringer Neigung des Strahles gegen die Axe des Doppelſpaths ſehr ſchwach wirken, nur die Wirkung, eine bewegliche Polariſation oder eine Oſcillation der Lichttheilchen hervorzubringen, zuſchreiben, oder nach Arago's und Fresnel's Anſicht die ungleichen Wellenfolgen des in der Doppelſpathplatte gewoͤhnlich und ungewoͤhnlich gebrochenen Strahles beruͤckſichtigen, ſo laͤßt ſich nachweiſen, daß in einer gewiſſen Entfernung von der Mitte beſtimmte Farben und zwar genau in der Ordnung, wie bei Newton's Farbenringen, hervortreten muͤſſen; ja man kann ſich leicht uͤberzeugen, daß ſelbſt die Groͤße der Ringe, die von der Dicke jener Platte abhaͤngt, ſich nach beiden Anſichten berechnen laͤßt.","norm":"Man mag nämlich hier entweder nach Biots Ansicht den polarisierenden Kräften, die bei so geringer Neigung des Strahles gegen die Achse des Doppelspaths sehr schwach wirken, nur die Wirkung, eine bewegliche Polarisation oder eine Oszillation der Lichtteilchen hervorzubringen, zuschreiben, oder nach Aragos und Fresnels Ansicht die ungleichen Wellenfolgen des in der Doppelspathplatte gewöhnlich und ungewöhnlich gebrochenen Strahles berücksichtigen, so lässt sich nachweisen, dass in einer gewissen Entfernung von der Mitte bestimmte Farben und zwar genau in der Ordnung, wie bei Newtons Farbenringen, hervortreten müssen; ja man kann sich leicht überzeugen, dass selbst die Größe der Ringe, die von der Dicke jener Platte abhängt, sich nach beiden Ansichten berechnen 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Strahlen wenig, da in diesem Falle beide Strahlen, der gewöhnlich gebrochene und der ungewöhnlich gebrochene, beinahe gleiche Geschwindigkeit 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+{"basename":"brandes_naturlehre02_1831","par_idx":2818,"date":1831,"orig":"Dann ſtellen ſich zunaͤchſt um die beiden Mittelpuncte farbige Linien, die beinahe fuͤr Kreiſe gelten koͤnnen, dar; dieſe werden aber von Linien umfaßt, die beide Kreisſyſteme zugleich einſchließen, und ſich, je weiter man vom Mittelpuncte ſich entfernt, deſto mehr einer ungefaͤhr elliptiſchen Form naͤhern.","norm":"Dann stellen sich zunächst um die beiden Mittelpunkte farbige Linien, die beinahe für Kreise gelten können, dar; diese werden aber von Linien umfasst, die beide Kreissysteme zugleich einschließen, und sich, je weiter man vom Mittelpunkte sich entfernt, desto mehr einer ungefähr elliptischen Form 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+{"basename":"brandes_naturlehre02_1831","par_idx":2819,"date":1831,"orig":"Auch bei ihnen giebt es dann dunkle Linien, die das darſtellen, was vorhin das ſchwarze Kreuz war; da ich aber ohne allzugroße Weitlaͤuftigkeit die Regeln fuͤr die Bildung dieſer Linien nicht angeben kann, ſo begnuͤge ich mich, ſie obenhin zu erwaͤhnen.","norm":"Auch bei ihnen gibt es dann dunkle Linien, die das darstellen, was vorhin das schwarze Kreuz war; da ich aber ohne allzu große Weitläufigkeit die Regeln für die Bildung dieser Linien nicht angeben kann, so begnüge ich mich, sie obenhin zu 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+{"basename":"brandes_naturlehre02_1831","par_idx":2820,"date":1831,"orig":"Verweilen muß ich dagegen noch bei den ſchoͤnen und leicht darzuſtellenden Farbenringen, die ſich in ſchnell gekuͤhlten Glasplatten darſtellen.","norm":"Verweilen muss ich dagegen noch bei den schönen und leicht darzustellenden Farbenringen, die sich in schnell gekühlten Glasplatten 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+{"basename":"brandes_naturlehre02_1831","par_idx":2821,"date":1831,"orig":"Nimmt man Platten von reinem Glaſe, etwa 2 Linien dick und laͤßt ſie nach dem Gluͤhen ſchnell abkuͤhlen, ſo ſind ſie geeignet, dieſe Erſcheinungen hervorzubringen .","norm":"Nimmt man Platten von reinem Glase, etwa 2 Linien dick und lässt sie nach dem Glühen schnell abkühlen, so sind sie geeignet, diese Erscheinungen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2822,"date":1831,"orig":"Man ſtellt naͤmlich die Spiegel unſeres Inſtruments beide auf den Polariſationswinkel, bringt eine oder mehrere ſolcher Platten ſo, daß ſie vom polariſirten Strahle ſenkrecht getroffen werden, zwiſchen die Spiegel, und blickt nun, waͤhrend das Licht weißer Wolken auf den erſten Spiegel faͤllt, in den zweiten Spiegel.","norm":"Man stellt nämlich die Spiegel unseres Instruments beide auf den Polarisationswinkel, bringt eine oder mehrere solcher Platten so, dass sie vom polarisierten Strahle senkrecht getroffen werden, zwischen die Spiegel, und blickt nun, während das Licht weißer Wolken auf den ersten Spiegel fällt, in den zweiten 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+{"basename":"brandes_naturlehre02_1831","par_idx":2823,"date":1831,"orig":"Iſt der zweite Spiegel ſo geſtellt, daß er die polariſirten Strahlen nicht zuruͤckwirft, ſo ſieht man bei einer viereckigen Glasplatte, deren eine Seite mit der erſten Reflexions-Ebne parallel, die andre auf ſie ſenkrecht iſt, ein ſchwarzes Kreuz durch die Mitte der Seiten gehend, ſo wie Fig. 147. darſtellt; in den Ecken aber zeigen ſich Flecke, die einfarbig ſein, oder auch ſchon Ringe mehrerer Farben darſtellen koͤnnen . Legt man eine zweite Platte auf die erſte, ſo daß ihre Seiten zuſammenfallen, ſo bleibt jenes Kreuz, aber in den Ecken nimmt die Zahl der Farben, welche in Kreiſen und Theilen von Kreiſen jenen vorhin ſchon bemerkten Fleck umgeben, zu; dieſe Zahl von Ringen ſteigt noch mehr bei vermehrten Platten, und man nimmt wahr, daß die Farben nach dem Geſetze der Newton'ſchen Farbenringe fortſchreiten.","norm":"Ist der zweite Spiegel so gestellt, dass er die polarisierten Strahlen nicht zurückwirft, so sieht man bei einer viereckigen Glasplatte, deren eine Seite mit der ersten Reflexionsebene parallel, die andere auf sie senkrecht ist, ein schwarzes Kreuz durch die Mitte der Seiten gehend, so wie Fig . 147. darstellt; in den Ecken aber zeigen sich Fleck, die einfarbig sein, oder auch schon Ringe mehrerer Farben darstellen können . Legt man eine zweite Platte auf die erste, so dass ihre Seiten zusammenfallen, so bleibt jenes Kreuz, aber in den Ecken nimmt die Zahl der Farben, welche in Kreisen und Teilen von Kreisen jenen vorhin schon bemerkten Fleck umgeben, zu; diese Zahl von Ringen steigt noch mehr bei vermehrten Platten, und man nimmt wahr, dass die Farben nach dem Gesetze der Newton'schen Farbenringe 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abschneidet.","orig_tok":["Die","Erklaͤrung","dieſer","Farben",",","die","man","entoptiſche","genannt","hat",",","weil","ſie","im","Innern","der","Koͤrper","zu","entſtehen","ſcheinen",",","muß","offenbar","nach","den","vorigen","Grundſaͤtzen","gefuͤhrt","werden",";","aber","da","das","ſchnell","gekuͤhlte","Glas","keine","eigentliche","Cryſtallform","darbietet",",","und","deshalb","auch","keine","ſolche","innere","Bildung","wie","bei","natuͤrlichen","Cryſtallen","vorauszuſetzen","iſt",";","ſo","ſind","dieſe","Farben-Erſcheinungen","nicht","ſo","wie","vorhin","beim","Doppelſpath","von","der","Form","der","Platte","unabhaͤngig",",","ſondern","ſie","aͤndern","ſich",",","wenn","man","Stuͤcke","derſelben","Platte","abſchneidet","."],"norm_tok":["Die","Erklärung","dieser","Farben",",","die","man","entoptische","genannt","hat",",","weil","sie","im","Inneren","der","Körper","zu","entstehen","scheinen",",","muss","offenbar","nach","den","vorigen","Grundsätzen","geführt","werden",";","aber","da","das","schnell","gekühlte","Glas","keine","eigentliche","Kristallform","darbietet",",","und","deshalb","auch","keine","solche","innere","Bildung","wie","bei","natürlichen","Kristallen","vorauszusetzen","ist",";","so","sind","diese","Farbenerscheinungen","nicht","so","wie","vorhin","beim","Doppelspat","von","der","Form","der","Platte","unabhängig",",","sondern","sie","ändern","sich",",","wenn","man","Stücke","derselben","Platte","abschneidet","."],"orig_spans":[[0,3],[4,14],[15,21],[22,28],[28,29],[30,33],[34,37],[38,49],[50,57],[58,61],[61,62],[63,67],[68,71],[72,74],[75,81],[82,85],[86,93],[94,96],[97,106],[107,115],[115,116],[117,120],[121,129],[130,134],[135,138],[139,146],[147,159],[160,168],[169,175],[175,176],[177,181],[182,184],[185,188],[189,196],[197,206],[207,211],[212,217],[218,229],[230,242],[243,252],[252,253],[254,257],[258,265],[266,270],[271,276],[277,283],[284,290],[291,298],[299,302],[303,306],[307,319],[320,330],[331,345],[346,349],[349,350],[351,353],[354,358],[359,364],[365,385],[386,391],[392,394],[395,398],[399,405],[406,410],[411,422],[423,426],[427,430],[431,435],[436,439],[440,446],[447,458],[458,459],[460,467],[468,471],[472,479],[480,484],[484,485],[486,490],[491,494],[495,502],[503,512],[513,519],[520,531],[531,532]],"norm_spans":[[0,3],[4,13],[14,20],[21,27],[27,28],[29,32],[33,36],[37,48],[49,56],[57,60],[60,61],[62,66],[67,70],[71,73],[74,81],[82,85],[86,92],[93,95],[96,105],[106,114],[114,115],[116,120],[121,129],[130,134],[135,138],[139,146],[147,158],[159,166],[167,173],[173,174],[175,179],[180,182],[183,186],[187,194],[195,203],[204,208],[209,214],[215,226],[227,239],[240,249],[249,250],[251,254],[255,262],[263,267],[268,273],[274,280],[281,287],[288,295],[296,299],[300,303],[304,315],[316,326],[327,341],[342,345],[345,346],[347,349],[350,354],[355,360],[361,380],[381,386],[387,389],[390,393],[394,400],[401,405],[406,416],[417,420],[421,424],[425,429],[430,433],[434,440],[441,451],[451,452],[453,460],[461,464],[465,471],[472,476],[476,477],[478,482],[483,486],[487,493],[494,503],[504,510],[511,522],[522,523]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63],[64,64],[65,65],[66,66],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72],[73,73],[74,74],[75,75],[76,76],[77,77],[78,78],[79,79],[80,80],[81,81],[82,82],[83,83]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.43090009689331} +{"basename":"brandes_naturlehre02_1831","par_idx":2829,"date":1831,"orig":"Die Lage jener, den Kreisbogen zugehoͤrigen Mittelpuncte muß ſich alſo theils durch die Bildung im Innern, ſo wie ſie bei dem ſchnellen Abkuͤhlen entſteht, theils aber auch durch jede Aenderung in der aͤußern Form beſtimmen, woruͤber noch keine genauen Regeln bekannt ſind.","norm":"Die Lage jener, den Kreisbogen zugehörigen Mittelpunkte muss sich also teils durch die Bildung im Inneren, so wie sie bei dem schnellen Abkühlen entsteht, teils aber auch durch jede Änderung in der äußeren Form bestimmen, worüber noch keine genauen Regeln bekannt 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+{"basename":"brandes_naturlehre02_1831","par_idx":2830,"date":1831,"orig":"Polariſirtes Licht, das vom blauen Himmel ausgeht.","norm":"Polarisiertes Licht, das vom blauen Himmel ausgeht.","orig_tok":["Polariſirtes","Licht",",","das","vom","blauen","Himmel","ausgeht","."],"norm_tok":["Polarisiertes","Licht",",","das","vom","blauen","Himmel","ausgeht","."],"orig_spans":[[0,12],[13,18],[18,19],[20,23],[24,27],[28,34],[35,41],[42,49],[49,50]],"norm_spans":[[0,13],[14,19],[19,20],[21,24],[25,28],[29,35],[36,42],[43,50],[50,51]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.361599922180176} +{"basename":"brandes_naturlehre02_1831","par_idx":2831,"date":1831,"orig":"— Biot's Vorſchlag zur Vergleichung der Farben.","norm":"— Biots Vorschlag zur Vergleichung der Farben.","orig_tok":["—","Biot's","Vorſchlag","zur","Vergleichung","der","Farben","."],"norm_tok":["—","Biots","Vorschlag","zur","Vergleichung","der","Farben","."],"orig_spans":[[0,1],[2,8],[9,18],[19,22],[23,35],[36,39],[40,46],[46,47]],"norm_spans":[[0,1],[2,7],[8,17],[18,21],[22,34],[35,38],[39,45],[45,46]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":7.047800064086914} +{"basename":"brandes_naturlehre02_1831","par_idx":2832,"date":1831,"orig":"Endlich zum Schluſſe dieſer weitlaͤuftigen Mittheilungen uͤber die Polariſirung des Lichtes will ich nur noch zwei Bemerkungen anfuͤhren, die erſte betrifft die Polariſirung des vom blauen Himmel zuruͤckgeworfenen Lichtes.","norm":"Endlich zum Schlusse dieser weitläufigen Mitteilungen über die Polarisierung des Lichtes will ich nur noch zwei Bemerkungen anführen, die erste betrifft die Polarisierung des vom blauen Himmel zurückgeworfenen Lichtes.","orig_tok":["Endlich","zum","Schluſſe","dieſer","weitlaͤuftigen","Mittheilungen","uͤber","die","Polariſirung","des","Lichtes","will","ich","nur","noch","zwei","Bemerkungen","anfuͤhren",",","die","erſte","betrifft","die","Polariſirung","des","vom","blauen","Himmel","zuruͤckgeworfenen","Lichtes","."],"norm_tok":["Endlich","zum","Schlusse","dieser","weitläufigen","Mitteilungen","über","die","Polarisierung","des","Lichtes","will","ich","nur","noch","zwei","Bemerkungen","anführen",",","die","erste","betrifft","die","Polarisierung","des","vom","blauen","Himmel","zurückgeworfenen","Lichtes","."],"orig_spans":[[0,7],[8,11],[12,20],[21,27],[28,42],[43,56],[57,62],[63,66],[67,79],[80,83],[84,91],[92,96],[97,100],[101,104],[105,109],[110,114],[115,126],[127,136],[136,137],[138,141],[142,147],[148,156],[157,160],[161,173],[174,177],[178,181],[182,188],[189,195],[196,213],[214,221],[221,222]],"norm_spans":[[0,7],[8,11],[12,20],[21,27],[28,40],[41,53],[54,58],[59,62],[63,76],[77,80],[81,88],[89,93],[94,97],[98,101],[102,106],[107,111],[112,123],[124,132],[132,133],[134,137],[138,143],[144,152],[153,156],[157,170],[171,174],[175,178],[179,185],[186,192],[193,209],[210,217],[217,218]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.887099981307983} +{"basename":"brandes_naturlehre02_1831","par_idx":2833,"date":1831,"orig":"Ich habe immer das Licht weißer Wolken als auf den erſten Spiegel unſers Inſtrumentes fallend, verlangt, weil dieſes Licht noch keine urſpruͤngliche Polariſation beſitzt, laͤßt man dagegen Licht vom blauen Himmel auffallen, ſo findet man in dieſem meiſtens ſchon Spuren von Polariſation, ehe es noch den Spiegel trifft.","norm":"Ich habe immer das Licht weißer Wolken als auf den ersten Spiegel unseres Instrumentes fallend, verlangt, weil dieses Licht noch keine ursprüngliche Polarisation besitzt, lässt man dagegen Licht vom blauen Himmel auffallen, so findet man in diesem meistens schon Spuren von Polarisation, ehe es noch den Spiegel 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+{"basename":"brandes_naturlehre02_1831","par_idx":2834,"date":1831,"orig":"Man kann dies leicht wahrnehmen, indem man ein duͤnnes Gypsblaͤttchen ſo haͤlt, daß das vom blauen Himmel kommende Licht durch daſſelbe gehen muß, ehe es den erſten Spiegel erreicht; ſieht man dann ungefaͤhr in der Richtung des Polariſationswinkels in dieſen erſten Spiegel, ſo iſt das Bild des Gypsblaͤttchens darin farbig zu ſehen, welches nicht der Fall waͤre, wenn ein unpolariſirtes Licht durch den Gyps auf den erſten Spiegel gefallen waͤre.","norm":"Man kann dies leicht wahrnehmen, indem man ein dünnes Gipsblättchen so hält, dass das vom blauen Himmel kommende Licht durch dasselbe gehen muss, ehe es den ersten Spiegel erreicht; sieht man dann ungefähr in der Richtung des Polarisationswinkels in diesen ersten Spiegel, so ist das Bild des Gipsblättchens darin farbig zu sehen, welches nicht der Fall wäre, wenn ein unpolarisiertes Licht durch den Gips auf den ersten Spiegel gefallen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2835,"date":1831,"orig":"Eben ſo geben auch die gegluͤhten Glasplatten in der vorhin angegebenen Lage gehalten, im erſten Spiegel geſehen, die Seebek'ſchen Figuren, und dieſe Erſcheinungen ſind ungleich, je nachdem man die Strahlen von verſchiedenen Puncten des Himmels, mehr oder minder der Sonne entgegengeſetzt, in den Spiegel fallen laͤßt.","norm":"Eben so geben auch die geglühten Glasplatten in der vorhin angegebenen Lage gehalten, im ersten Spiegel gesehen, die Seebek'schen Figuren, und diese Erscheinungen sind ungleich, je nachdem man die Strahlen von verschiedenen Punkten des Himmels, mehr oder minder der Sonne entgegengesetzt, in den Spiegel fallen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2836,"date":1831,"orig":"Die zweite Bemerkung betrifft Biot's Vorſchlag zu einem Farbenmaaße.","norm":"Die zweite Bemerkung betrifft Biots Vorschlag zu einem Farbenmaße.","orig_tok":["Die","zweite","Bemerkung","betrifft","Biot's","Vorſchlag","zu","einem","Farbenmaaße","."],"norm_tok":["Die","zweite","Bemerkung","betrifft","Biots","Vorschlag","zu","einem","Farbenmaße","."],"orig_spans":[[0,3],[4,10],[11,20],[21,29],[30,36],[37,46],[47,49],[50,55],[56,67],[67,68]],"norm_spans":[[0,3],[4,10],[11,20],[21,29],[30,35],[36,45],[46,48],[49,54],[55,65],[65,66]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":7.833199977874756} +{"basename":"brandes_naturlehre02_1831","par_idx":2837,"date":1831,"orig":"Die Polariſation des Lichtes bietet uns erſtlich ein Mittel dar, die farbigen Koͤrper von ihrem Spiegelglanze zu befreien, und 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H., ſo lange mit den Unterſuchungen uͤber den Weg der Lichtſtrahlen, uͤber die Geſetze der Fortpflanzung des Lichtes, unterhalten habe, muß ich Sie doch endlich auch noch mit den verſchiedenen Entſtehungs-Arten des Leuchtens und mit den chemiſchen Wirkungen, die das Licht ausuͤbt, bekannt machen.","norm":"Nachdem ich Sie, m. h. 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+{"basename":"brandes_naturlehre02_1831","par_idx":2847,"date":1831,"orig":"Licht-Erzeugung beim Verbrennen und andern chemiſchen Prozeſſen.","norm":"Lichterzeugung beim Verbrennen und anderen chemischen Prozessen.","orig_tok":["Licht-Erzeugung","beim","Verbrennen","und","andern","chemiſchen","Prozeſſen","."],"norm_tok":["Lichterzeugung","beim","Verbrennen","und","anderen","chemischen","Prozessen","."],"orig_spans":[[0,15],[16,20],[21,31],[32,35],[36,42],[43,53],[54,63],[63,64]],"norm_spans":[[0,14],[15,19],[20,30],[31,34],[35,42],[43,53],[54,63],[63,64]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.207499980926514} +{"basename":"brandes_naturlehre02_1831","par_idx":2848,"date":1831,"orig":"Woher die ſelbſtleuchtenden Himmelskoͤrper ihr Licht haben, ob die dortige Licht-Erzeugung mit der beim Verbrennen Aehnlichkeit habe oder nicht, das liegt ſo weit außer dem Kreiſe unſrer Forſchungen, daß ich dieſe Fragen wohl ganz uͤbergehen darf.","norm":"Woher die selbstleuchtenden Himmelskörper ihr Licht haben, ob die dortige Lichterzeugung mit der beim Verbrennen Ähnlichkeit habe oder nicht, das liegt so weit außer dem Kreise unserer Forschungen, dass ich diese Fragen wohl ganz übergehen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2850,"date":1831,"orig":"Wir wiſſen nicht, ob hier bei der Zerſetzung des Sauerſtoffgas, womit oft zugleich eine Zerſetzung der brennenden oder gluͤhenden Koͤrper, faſt allemal aber eine Verbindung des Sauerſtoffs mit einem Beſtandtheile des brennbaren Koͤrpers, verbunden iſt, ein Freiwerden des Lichtſtoffs ſtatt findet, oder ob die Gewalt der chemiſchen Veraͤnderungen jene Vibrationen des Aethers hervorbringt, die wir nach den ſchon angefuͤhrten Meinungen vielleicht als Urſache der Licht-Erſcheinungen anſehen muͤſſen.","norm":"Wir wissen nicht, ob hier bei der Zersetzung des Sauerstoffgas, womit oft zugleich eine Zersetzung der brennenden oder glühenden Körper, fast allemal aber eine Verbindung des Sauerstoffs mit einem Bestandteile des brennbaren Körpers, verbunden ist, ein Freiwerden des Lichtstoffs stattfindet, oder ob die Gewalt der chemischen Veränderungen jene Vibrationen des Äthers hervorbringt, die wir nach den schon angeführten Meinungen vielleicht als Ursache der Lichterscheinungen ansehen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2855,"date":1831,"orig":"Aber nicht bloß beim Zerſetzen des Sauerſtoffgas entſteht Licht, ſondern auch in vielen andern Faͤllen, wo chemiſche Verbindungen eintreten, namentlich wenn Metalle mit Schwefel ſtark erhitzt werden, wenn Terpentin-Oel mit Salpeterſaͤure und Schwefelſaͤure gemiſcht wird, und in mehreren Faͤllen.","norm":"Aber nicht bloß beim Zersetzen des Sauerstoffgas entsteht Licht, sondern auch in vielen anderen Fällen, wo chemische Verbindungen eintreten, namentlich wenn Metalle mit Schwefel stark erhitzt werden, wenn Terpentinöl mit Salpetersäure und Schwefelsäure gemischt wird, und in mehreren 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+{"basename":"brandes_naturlehre02_1831","par_idx":2856,"date":1831,"orig":"Zu dieſen Licht-Entwickelungen, welche chemiſchen Zerſetzungen und Verbindungen ihren Urſprung verdanken, gehoͤrt auch das in niedrigen Temperaturen ſtatt findende Leuchten des Phosphors, der eben von dieſer Eigenſchaft ſeinen Namen hat.","norm":"Zu diesen Lichtentwickelungen, welche chemischen Zersetzungen und Verbindungen ihren Ursprung verdanken, gehört auch das in niedrigen Temperaturen statt findende Leuchten des Phosphors, der eben von dieser Eigenschaft seinen Namen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2857,"date":1831,"orig":"Auch hier iſt das Leuchten in der atmoſphaͤriſchen Luft mit einer Zerſetzung des Sauerſtoffgas verbunden, die durch eine Verbindung des Sauerſtoffs mit Phosphor zu Phosphorſaͤure und im eingeſchloſſenen Raume durch eine Verminderung der Luft kenntlich wird.","norm":"Auch hier ist das Leuchten in der atmosphärischen Luft mit einer Zersetzung des Sauerstoffgas verbunden, die durch eine Verbindung des Sauerstoffs mit Phosphor zu Phosphorsäure und im eingeschlossenen Raume durch eine Verminderung der Luft kenntlich 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+{"basename":"brandes_naturlehre02_1831","par_idx":2859,"date":1831,"orig":"Es iſt merkwuͤrdig, daß, obgleich dieſes Leuchten auch bei niedrigen Temperaturen auf der Verbindung mit dem Sauerſtoff beruht, es dennoch im ganz reinen Sauerſtoffgas, wenn dieſes die Dichtigkeit beſitzt, welche dem gewoͤhnlichen Drucke der Luft entſpricht, nicht ſo gut bei niedrigen Temperaturen eintritt; verduͤnnt man dagegen dieſe Luft-Art, ſo treten ſogleich weiße Daͤmpfe aus dem Phosphor hervor und das Leuchten ſtellt ſich, ſelbſt bei niedrigen Waͤrmegraden, ein; und eben ſo wie im letzten Falle verhaͤlt es ſich, wenn der Phosphor ſich in einer mit Stickgas vermiſchten Sauerſtoffluft befindet.","norm":"Es ist merkwürdig, dass, obgleich dieses Leuchten auch bei niedrigen Temperaturen auf der Verbindung mit dem Sauerstoff beruht, es dennoch im ganz reinen Sauerstoffgas, wenn dieses die Dichtigkeit besitzt, welche dem gewöhnlichen Drucke der Luft entspricht, nicht so gut bei niedrigen Temperaturen eintritt; verdünnt man dagegen diese Luftart, so treten sogleich weiße Dämpfe aus dem Phosphor hervor und das Leuchten stellt sich, selbst bei niedrigen Wärmegraden, ein; und ebenso wie im letzten Falle verhält es sich, wenn der Phosphor sich in einer mit Stickgas vermischten Sauerstoffluft 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+{"basename":"brandes_naturlehre02_1831","par_idx":2860,"date":1831,"orig":"Phosphoreſcenz durch Erwaͤrmung.","norm":"Phosphoreszenz durch Erwärmung.","orig_tok":["Phosphoreſcenz","durch","Erwaͤrmung","."],"norm_tok":["Phosphoreszenz","durch","Erwärmung","."],"orig_spans":[[0,14],[15,20],[21,31],[31,32]],"norm_spans":[[0,14],[15,20],[21,30],[30,31]],"alignment":[[0,0],[1,1],[2,2],[3,3]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"ku","orig_lang_de":0.667,"norm_lmscore":3.769500017166137} +{"basename":"brandes_naturlehre02_1831","par_idx":2861,"date":1831,"orig":"Weſentlich hiervon verſchieden ſcheinen diejenigen Erſcheinungen von Phosphoreſcenz zu ſein, die ohne merkliche chemiſche Veraͤnderungen in den Koͤrpern zu bewirken, bei der Erwaͤrmung eintreten.","norm":"Wesentlich hiervon verschieden scheinen diejenigen Erscheinungen von Phosphoreszenz zu sein, die ohne merkliche chemische Veränderungen in den Körpern zu bewirken, bei der Erwärmung eintreten.","orig_tok":["Weſentlich","hiervon","verſchieden","ſcheinen","diejenigen","Erſcheinungen","von","Phosphoreſcenz","zu","ſein",",","die","ohne","merkliche","chemiſche","Veraͤnderungen","in","den","Koͤrpern","zu","bewirken",",","bei","der","Erwaͤrmung","eintreten","."],"norm_tok":["Wesentlich","hiervon","verschieden","scheinen","diejenigen","Erscheinungen","von","Phosphoreszenz","zu","sein",",","die","ohne","merkliche","chemische","Veränderungen","in","den","Körpern","zu","bewirken",",","bei","der","Erwärmung","eintreten","."],"orig_spans":[[0,10],[11,18],[19,30],[31,39],[40,50],[51,64],[65,68],[69,83],[84,86],[87,91],[91,92],[93,96],[97,101],[102,111],[112,121],[122,136],[137,139],[140,143],[144,152],[153,155],[156,164],[164,165],[166,169],[170,173],[174,184],[185,194],[194,195]],"norm_spans":[[0,10],[11,18],[19,30],[31,39],[40,50],[51,64],[65,68],[69,83],[84,86],[87,91],[91,92],[93,96],[97,101],[102,111],[112,121],[122,135],[136,138],[139,142],[143,150],[151,153],[154,162],[162,163],[164,167],[168,171],[172,181],[182,191],[191,192]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.51230001449585} +{"basename":"brandes_naturlehre02_1831","par_idx":2862,"date":1831,"orig":"Eine Menge von Koͤrpern beſitzt die Eigenſchaft, erwaͤrmt dieſes ſtille Leuchten ohne Verbrennung, das wir Phosphoreſcenz nennen, hervorzubringen.","norm":"Eine Menge von Körpern besitzt die Eigenschaft, erwärmt dieses stille Leuchten ohne Verbrennung, das wir Phosphoreszenz nennen, hervorzubringen.","orig_tok":["Eine","Menge","von","Koͤrpern","beſitzt","die","Eigenſchaft",",","erwaͤrmt","dieſes","ſtille","Leuchten","ohne","Verbrennung",",","das","wir","Phosphoreſcenz","nennen",",","hervorzubringen","."],"norm_tok":["Eine","Menge","von","Körpern","besitzt","die","Eigenschaft",",","erwärmt","dieses","stille","Leuchten","ohne","Verbrennung",",","das","wir","Phosphoreszenz","nennen",",","hervorzubringen","."],"orig_spans":[[0,4],[5,10],[11,14],[15,23],[24,31],[32,35],[36,47],[47,48],[49,57],[58,64],[65,71],[72,80],[81,85],[86,97],[97,98],[99,102],[103,106],[107,121],[122,128],[128,129],[130,145],[145,146]],"norm_spans":[[0,4],[5,10],[11,14],[15,22],[23,30],[31,34],[35,46],[46,47],[48,55],[56,62],[63,69],[70,78],[79,83],[84,95],[95,96],[97,100],[101,104],[105,119],[120,126],[126,127],[128,143],[143,144]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.132999897003174} +{"basename":"brandes_naturlehre02_1831","par_idx":2863,"date":1831,"orig":"Unter dieſen gehoͤrt der Flußſpath zu den vorzuͤglich ausgezeichneten, indem er ſchon bei 55° Reaum. leuchtet, und nach Verſchiedenheit der einzelnen Stuͤcke ein violettes, gruͤnes oder gelbes Licht ausſendet.","norm":"Unter diesen gehört der Flussspat zu den vorzüglich ausgezeichneten, indem er schon bei 55 ° Reaum . leuchtet, und nach Verschiedenheit der einzelnen Stücke ein violettes, grünes oder gelbes Licht aussendet.","orig_tok":["Unter","dieſen","gehoͤrt","der","Flußſpath","zu","den","vorzuͤglich","ausgezeichneten",",","indem","er","ſchon","bei","55","°","Reaum",".","leuchtet",",","und","nach","Verſchiedenheit","der","einzelnen","Stuͤcke","ein","violettes",",","gruͤnes","oder","gelbes","Licht","ausſendet","."],"norm_tok":["Unter","diesen","gehört","der","Flussspat","zu","den","vorzüglich","ausgezeichneten",",","indem","er","schon","bei","55","°","Reaum",".","leuchtet",",","und","nach","Verschiedenheit","der","einzelnen","Stücke","ein","violettes",",","grünes","oder","gelbes","Licht","aussendet","."],"orig_spans":[[0,5],[6,12],[13,20],[21,24],[25,34],[35,37],[38,41],[42,53],[54,69],[69,70],[71,76],[77,79],[80,85],[86,89],[90,92],[92,93],[94,99],[99,100],[101,109],[109,110],[111,114],[115,119],[120,135],[136,139],[140,149],[150,157],[158,161],[162,171],[171,172],[173,180],[181,185],[186,192],[193,198],[199,208],[208,209]],"norm_spans":[[0,5],[6,12],[13,19],[20,23],[24,33],[34,36],[37,40],[41,51],[52,67],[67,68],[69,74],[75,77],[78,83],[84,87],[88,90],[91,92],[93,98],[99,100],[101,109],[109,110],[111,114],[115,119],[120,135],[136,139],[140,149],[150,156],[157,160],[161,170],[170,171],[172,178],[179,183],[184,190],[191,196],[197,206],[206,207]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.888999938964844} +{"basename":"brandes_naturlehre02_1831","par_idx":2864,"date":1831,"orig":"Bei einigen Flußſpathen iſt die Farbe des Lichtes bei erheblicher Waͤrme gruͤn und geht beim Abkuͤhlen ins Violette uͤber.","norm":"Bei einigen Flussspaten ist die Farbe des Lichtes bei erheblicher Wärme grün und geht beim Abkühlen ins Violette 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+{"basename":"brandes_naturlehre02_1831","par_idx":2865,"date":1831,"orig":"Auf einen heißen Ofen gelegt ſieht man ihn faſt allemal leuchten, jedoch iſt dieſes Licht, wie alle dieſe Phosphoreſcenzen, nur im Dunkeln kenntlich.","norm":"Auf einen heißen Ofen gelegt sieht man ihn fast allemal leuchten, jedoch ist dieses Licht, wie alle diese Phosphoreszenz, nur im Dunklen 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+{"basename":"brandes_naturlehre02_1831","par_idx":2866,"date":1831,"orig":"Die ſehr zahlreichen Verſuche von Heinrich zeigen, daß es ſehr viele Mineralien giebt, die erwaͤrmt wenigſtens ein ſchwaches Licht geben, jedoch oft ſo ſchwach, daß nur das lange im tiefſten Dunkel verweilende Auge empfindlich genug iſt, um es wahrzunehmen.","norm":"Die sehr zahlreichen Versuche von Heinrich zeigen, dass es sehr viele Mineralien gibt, die erwärmt wenigstens ein schwaches Licht geben, jedoch oft so schwach, dass nur das Lange im tiefsten Dunkel verweilende Auge empfindlich genug ist, um es 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hin.","orig_tok":["Hoͤrte","dann",",","indem","man","ihn","immer","nur","im","Dunkeln","aus","der","Schachtel","herausnahm",",","damit","er","nicht","aufs","Neue","der","Beſtrahlung","ausgeſetzt","ſei",",","nach","mehrern","Tagen","ſein","Leuchten","auf",",","ſo","brachte","doch","die","Waͤrme","der","Hand","ihn","wieder","zum","Leuchten",",","und","ſpaͤter",",","ſelbſt","nach","36","Naͤchten",",","reichte","doch","eine","Waͤrme","von","40","°","Reaum",".","dazu","hin","."],"norm_tok":["Hörte","dann",",","indem","man","ihn","immer","nur","im","Dunklen","aus","der","Schachtel","herausnahm",",","damit","er","nicht","aufs","Neue","der","Bestrahlung","ausgesetzt","sei",",","nach","mehreren","Tagen","sein","Leuchten","auf",",","so","brachte","doch","die","Wärme","der","Hand","ihn","wieder","zum","Leuchten",",","und","später",",","selbst","nach","36","Nächten",",","reichte","doch","eine","Wärme","von","40","°","Reaum",".","dazu","hin","."],"orig_spans":[[0,6],[7,11],[11,12],[13,18],[19,22],[23,26],[27,32],[33,36],[37,39],[40,47],[48,51],[52,55],[56,65],[66,76],[76,77],[78,83],[84,86],[87,92],[93,97],[98,102],[103,106],[107,118],[119,129],[130,133],[133,134],[135,139],[140,147],[148,153],[154,158],[159,167],[168,171],[171,172],[173,175],[176,183],[184,188],[189,192],[193,199],[200,203],[204,208],[209,212],[213,219],[220,223],[224,232],[232,233],[234,237],[238,245],[245,246],[247,253],[254,258],[259,261],[262,270],[270,271],[272,279],[280,284],[285,289],[290,296],[297,300],[301,303],[303,304],[305,310],[310,311],[312,316],[317,320],[320,321]],"norm_spans":[[0,5],[6,10],[10,11],[12,17],[18,21],[22,25],[26,31],[32,35],[36,38],[39,46],[47,50],[51,54],[55,64],[65,75],[75,76],[77,82],[83,85],[86,91],[92,96],[97,101],[102,105],[106,117],[118,128],[129,132],[132,133],[134,138],[139,147],[148,153],[154,158],[159,167],[168,171],[171,172],[173,175],[176,183],[184,188],[189,192],[193,198],[199,202],[203,207],[208,211],[212,218],[219,222],[223,231],[231,232],[233,236],[237,243],[243,244],[245,251],[252,256],[257,259],[260,267],[267,268],[269,276],[277,281],[282,286],[287,292],[293,296],[297,299],[300,301],[302,307],[308,309],[310,314],[315,318],[318,319]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35],[36,36],[37,37],[38,38],[39,39],[40,40],[41,41],[42,42],[43,43],[44,44],[45,45],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53],[54,54],[55,55],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62],[63,63]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.729800224304199} 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+{"basename":"brandes_naturlehre02_1831","par_idx":2887,"date":1831,"orig":"Von Grotthus zieht hieraus den Schluß, daß alle durch Erwaͤrmung hervorgehende Phosphoreſcenz nur in Folge einer fruͤher ſtatt gefundenen Beſtrahlung eintrete und alſo nur eine Wirkung des empfangenen Lichtes ſei.","norm":"Von Grottos zieht hieraus den Schluss, dass alle durch Erwärmung hervorgehende Phosphoreszenz nur in Folge einer früher statt gefundenen Bestrahlung eintrete und also nur eine Wirkung des empfangenen Lichtes sei.","orig_tok":["Von","Grotthus","zieht","hieraus","den","Schluß",",","daß","alle","durch","Erwaͤrmung","hervorgehende","Phosphoreſcenz","nur","in","Folge","einer","fruͤher","ſtatt","gefundenen","Beſtrahlung","eintrete","und","alſo","nur","eine","Wirkung","des","empfangenen","Lichtes","ſei","."],"norm_tok":["Von","Grottos","zieht","hieraus","den","Schluss",",","dass","alle","durch","Erwärmung","hervorgehende","Phosphoreszenz","nur","in","Folge","einer","früher","statt","gefundenen","Bestrahlung","eintrete","und","also","nur","eine","Wirkung","des","empfangenen","Lichtes","sei","."],"orig_spans":[[0,3],[4,12],[13,18],[19,26],[27,30],[31,37],[37,38],[39,42],[43,47],[48,53],[54,64],[65,78],[79,93],[94,97],[98,100],[101,106],[107,112],[113,120],[121,126],[127,137],[138,149],[150,158],[159,162],[163,167],[168,171],[172,176],[177,184],[185,188],[189,200],[201,208],[209,212],[212,213]],"norm_spans":[[0,3],[4,11],[12,17],[18,25],[26,29],[30,37],[37,38],[39,43],[44,48],[49,54],[55,64],[65,78],[79,93],[94,97],[98,100],[101,106],[107,112],[113,119],[120,125],[126,136],[137,148],[149,157],[158,161],[162,166],[167,170],[171,175],[176,183],[184,187],[188,199],[200,207],[208,211],[211,212]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28],[29,29],[30,30],[31,31]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.773099899291992} +{"basename":"brandes_naturlehre02_1831","par_idx":2888,"date":1831,"orig":"Daß uͤbrigens bei der Beſtrahlung die Waͤrme keinen Antheil an dem Leuchtendwerden hat, erhellt aus der oft nur ſehr kurze Zeit noͤthigen, und bei großer Kaͤlte eben ſo guten Erfolg habenden Einwirkung der Sonnenſtrahlen.","norm":"Dass übrigens bei der Bestrahlung die Wärme keinen Anteil an dem Leuchtendwerden hat, erhellt aus der oft nur sehr kurze Zeit nötigen, und bei großer Kälte ebenso guten Erfolg habenden Einwirkung der 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hervorbringt.","orig_tok":["Etwas","entſcheidender","fuͤr","die","Materialitaͤt","des","Lichtes","ſcheinen","die","—","verhaͤltnißmaͤßig","wenigen","—","Faͤlle","zu","ſein",",","wo","der","Einfluß","des","Lichtes","merkliche","Veraͤnderungen","in","den","Koͤrpern","hervorbringt","."],"norm_tok":["Etwas","entscheidender","für","die","Materialität","des","Lichtes","scheinen","die","—","verhältnismäßig","wenigen","—","Fälle","zu","sein",",","wo","der","Einfluss","des","Lichtes","merkliche","Veränderungen","in","den","Körpern","hervorbringt","."],"orig_spans":[[0,5],[6,20],[21,25],[26,29],[30,43],[44,47],[48,55],[56,64],[65,68],[69,70],[71,88],[89,96],[97,98],[99,105],[106,108],[109,113],[113,114],[115,117],[118,121],[122,129],[130,133],[134,141],[142,151],[152,166],[167,169],[170,173],[174,182],[183,195],[195,196]],"norm_spans":[[0,5],[6,20],[21,24],[25,28],[29,41],[42,45],[46,53],[54,62],[63,66],[67,68],[69,84],[85,92],[93,94],[95,100],[101,103],[104,108],[108,109],[110,112],[113,116],[117,125],[126,129],[130,137],[138,147],[148,161],[162,164],[165,168],[169,176],[177,189],[189,190]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[11,11],[12,12],[13,13],[14,14],[15,15],[16,16],[17,17],[18,18],[19,19],[20,20],[21,21],[22,22],[23,23],[24,24],[25,25],[26,26],[27,27],[28,28]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.728899955749511} 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