diff --git "a/validation/1800-1899/brandes_naturlehre01_1830.jsonl" "b/validation/1800-1899/brandes_naturlehre01_1830.jsonl" new file mode 100644--- /dev/null +++ "b/validation/1800-1899/brandes_naturlehre01_1830.jsonl" @@ -0,0 +1,3163 @@ +{"basename":"brandes_naturlehre01_1830","par_idx":0,"date":1830,"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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zugleich aber die Lehren von Waͤrme und Licht mit moͤglichſter Vollſtaͤndigkeit umfaſſen, der dritte iſt der Electricitaͤt, dem Galvanismus, den magnetiſchen und electromagnetiſchen Erſcheinungen gewidmet, und wird auf alles, was die neueſten Entdeckungen hier Wichtiges gelehrt haben, Ruͤckſicht nehmen.","norm":"Der erste enthält die ganze Mechanik, die Lehre von dem Gleichgewichte fester und flüssiger Körper, nebst der Akustik, der zweite wird zuerst die Erscheinungen der Anziehung, die wir bei den Haarröhrchen und in ähnlichen Fällen beobachten, und dann die Grundlehren der Chemie abhandeln, zugleich aber die Lehren von Wärme und Licht mit möglichster Vollständigkeit umfassen, der dritte ist der Elektrizität, dem Galvanismus, den magnetischen und elektromagnetischen Erscheinungen gewidmet, und wird auf alles, was die neuesten Entdeckungen hier Wichtiges gelehrt haben, Rücksicht 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denn obgleich mancher in der Phyſik vorkommende Satz einer geometriſchen Begruͤndung beduͤrfte, wenn er ſtrenge demonſtrirt werden ſollte, ſo erlaubt uns doch die natuͤrliche Geometrie, die beim Anblicke der Figur zur Thaͤtigkeit hervorgerufen wird, ſehr oft dieſe Demonſtration zu uͤbergehen, und ich glaube daher, daß man nicht von einer Forderung geometriſcher Kenntniſſe reden wird, wenn zum Beiſpiel die Behauptung vorkoͤmmt, daß im rechtwinklichen Drei-Ecke die dem rechten Winkel gegenuͤberſtehende Seite die groͤßeſte iſt; — der Geometer demonſtrirt dieſes, aber bekannt iſt es einem jeden.","norm":"Jeder weiß, was ein Kreis ist, was ein rechter Winkel ist u. s. w. — mehr aber als diese Grundbegriffe bedarf es nicht, um die Folgerungen zu verstehen, die hier vorkommen, denn obgleich mancher in der Physik vorkommende Satz einer geometrischen Begründung bedürfte, wenn er strenge demonstriert werden sollte, so erlaubt uns doch die natürliche Geometrie, die beim Anblicke der Figur zur Tätigkeit hervorgerufen wird, sehr oft diese Demonstration zu übergehen, und ich glaube daher, dass man nicht von einer Forderung geometrischer Kenntnisse reden wird, wenn zum Beispiel die Behauptung vorkommt, dass im rechtwinklichen Dreiecke die dem rechten Winkel gegenüberstehende Seite die größte ist; — der Geometer demonstriert dieses, aber bekannt ist es einem 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+{"basename":"brandes_naturlehre01_1830","par_idx":355,"date":1830,"orig":"— Ich ſollte hier nun freilich die Frage beantworten, wo denn das Reich der Lebensthaͤtigkeit anfange, und wo demnach die Forſchungen der Phyſik in dieſer Hinſicht ihre Grenze finden; aber dieſe Unterſuchung, deren Schwierigkeit ſelbſt da, wo ſie ſich bei den einzelnen Erſcheinungen darbietet, ſchon ſehr groß iſt, wuͤrde unuͤberwindliche Schwierigkeiten darbieten, wenn man ſie im Allgemeinen durchzufuͤhren unternehmen wollte, und ich will daher lieber hier eine offen eingeſtandene Luͤcke laſſen, als bei dem verfehlten Unternehmen, ſie auszufuͤllen, verweilen.","norm":"— Ich sollte hier nun freilich die Frage beantworten, wo denn das Reich der Lebenstätigkeit anfange, und wo demnach die Forschungen der Physik in dieser Hinsicht ihre Grenze finden; aber diese Untersuchung, deren Schwierigkeit selbst da, wo sie sich bei den einzelnen Erscheinungen darbietet, schon sehr groß ist, würde unüberwindliche Schwierigkeiten darbieten, wenn man sie im Allgemeinen durchzuführen unternehmen wollte, und ich will daher lieber hier eine offen eingestandene Lücke lassen, als bei dem verfehlten Unternehmen, sie auszufüllen, 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+{"basename":"brandes_naturlehre01_1830","par_idx":357,"date":1830,"orig":"Wie ſie ſich aneinander reihen, ſoll uns eine wohlgeordnete Beobachtung lehren, und unſer bei jeder Erſcheinung nach der Urſache derſelben fragender Verſtand, ſoll aus der Verbindung der Erſcheinungen auf ihre Urſachen, auf ihre naͤchſten und auf ihre hoͤher hinauf liegenden Grund-Urſachen ſchließen; auf dieſem Wege ſoll, wenn es moͤglich iſt, ein Syſtem der Phyſik dargeſtellt werden, welches uns die Anordnung der ganzen Natur uͤberſchauen laͤßt, welches alle Erſcheinungen auf ihre wahren Urſachen zuruͤckfuͤhrt, und alle Raͤthſel loͤſet, welche ſich uns in der uns umgebenden Wunder vollen Welt darbieten. —","norm":"Wie sie sich aneinander reihen, soll uns eine wohlgeordnete Beobachtung lehren, und unser bei jeder Erscheinung nach der Ursache derselben fragender Verstand, soll aus der Verbindung der Erscheinungen auf ihre Ursachen, auf ihre nächsten und auf ihre höher hinauf liegenden Grundursachen schließen; auf diesem Wege soll, wenn es möglich ist, ein System der Physik dargestellt werden, welches uns die Anordnung der ganzen Natur überschauen lässt, welches alle Erscheinungen auf ihre wahren Ursachen zurückführt, und alle Rätsel löset, welche sich uns in der uns umgebenden Wunder vollen Welt darbieten . 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+{"basename":"brandes_naturlehre01_1830","par_idx":365,"date":1830,"orig":"Unſre Geiſtes-Anlagen noͤthigen uns, uͤberall eine Verbindung von Urſache und Wirkung aufzuſuchen, und der Beobachter der Naturphaͤnomene fuͤhlt ſich daher ſogleich zu der Frage veranlaßt, ob unter zwei auf einander folgenden Erſcheinungen die eine als Urſache der andern anzuſehen ſei.","norm":"Unsere Geistes-Anlagen nötigen uns, überall eine Verbindung von Ursache und Wirkung aufzusuchen, und der Beobachter der Naturphänomene fühlt sich daher sogleich zu der Frage veranlasst, ob unter zwei aufeinander folgenden Erscheinungen die eine als Ursache der anderen anzusehen 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+{"basename":"brandes_naturlehre01_1830","par_idx":366,"date":1830,"orig":"Um dieſe Frage zu entſcheiden, muß er ſich in den meiſten Faͤllen an die Erfahrung wenden, und jener vermuthete Zuſammenhang dient daher ſeiner Aufmerkſamkeit zur Leitung; er achtet darauf, ob jene zwei Erſcheinungen immer ſo verbunden vorkommen, und erſt, wenn er das durch wiederholte Beobachtung beſtaͤtigt findet, haͤlt er ſich berechtiget, in der einen die naͤchſte Urſache der andern anzuerkennen.","norm":"Um diese Frage zu entscheiden, muss er sich in den meisten Fällen an die Erfahrung wenden, und jener vermutete Zusammenhang dient daher seiner Aufmerksamkeit zur Leitung; er achtet darauf, ob jene zwei Erscheinungen immer so verbunden vorkommen, und erst, wenn er das durch wiederholte Beobachtung bestätigt findet, hält er sich berechtiget, in der einen die nächste Ursache der anderen 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getroffen hat und ohne zu zuͤnden zur Erde herabgelaufen iſt, ob dies an der Natur grade dieſes Blitzes lag, ob es ein kalter Schlag war, oder ob er durch Umſtaͤnde, die in der Beſchaffenheit des Hauſes lagen, ohne großen Schaden herabfuhr; und wenn wir aus Vergleichung mehrerer Erfahrungen finden, daß der Blitz da, wo er eine Metallleitung findet, ohne das Gebaͤude zu beſchaͤdigen, zur Erde gelangt, ſo geben wir die Hypotheſe von dem Unterſchiede warmer und kalter Schlaͤge auf, und finden dagegen die andre Hypotheſe, daß es in der Beſchaffenheit der getroffenen Koͤrper liege, wenn der Blitz ohne zu zuͤnden fortgeht, deutlich beſtaͤtiget.","norm":"Aber ebenso fragen wir, wenn der Blitz ein Haus getroffen hat und ohne zu zünden zur Erde herabgelaufen ist, ob dies an der Natur gerade dieses Blitzes lag, ob es ein kalter Schlag war, oder ob er durch Umstände, die in der Beschaffenheit des Hauses lagen, ohne großen Schaden herabfuhr; und wenn wir aus Vergleichung mehrerer Erfahrungen 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+{"basename":"brandes_naturlehre01_1830","par_idx":393,"date":1830,"orig":"Ueber die verſchiedenen Gegenſtaͤnde, die ſich in der Naturlehre unſrer Unterſuchung darbieten, und die daraus hervorgehenden einzelnen Zweige der Phyſik, iſt es ſchwerer hier ſchon etwas ganz Genuͤgendes anzugeben.","norm":"Über die verschiedenen Gegenstände, die sich in der Naturlehre unserer Untersuchung darbieten, und die daraus hervorgehenden einzelnen Zweige der Physik, ist es schwerer hier schon etwas ganz Genügendes 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+{"basename":"brandes_naturlehre01_1830","par_idx":421,"date":1830,"orig":"Wir ſind gewohnt, alles das, was eine Aenderung in der Koͤrperwelt hervorbringt, Kraft zu nennen, und ebenſo es einer Kraft zuzuſchreiben, wenn eine Aenderung des Zuſtandes, die durch eine Kraft bewirkt werden ſollte, gehindert wird.","norm":"Wir sind gewohnt, alles das, was eine Änderung in der Körperwelt hervorbringt, Kraft zu nennen, und ebenso es einer Kraft zuzuschreiben, wenn eine Änderung des Zustandes, die durch eine Kraft bewirkt werden sollte, gehindert 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+{"basename":"brandes_naturlehre01_1830","par_idx":422,"date":1830,"orig":"Da nun der eine Koͤrper das Eindringen des andern in den von jenem eingenommenen Raum nicht geſtattet, ſo ſchreiben wir beiden eine Kraft, das Eindringen zu hindern, eine abſtoßende Kraft, Repulſivkraft zu.","norm":"Da nun der eine Körper das Eindringen des anderen in den von jenem eingenommenen Raum nicht gestattet, so schreiben wir beiden eine Kraft, das Eindringen zu hindern, eine abstoßende Kraft, Repulsivkraft 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eine Maſſe von mehr als 700000 Cubiclinien hier eine Faͤrbung erhaͤlt, daß das Auge noch Zehntel der Linie, alſo Tauſendtel der Cubiclinie, deutlich erkennt, ſo kann man den Gran als in jedem der 700 Millionen ſichtbarer Theilchen ſeine Wirkung zeigend, anſehen.","norm":"Ein Gran derselben färbt 20 Pfund oder ¼ Kubikfuss Eisenauflösung merklich blau; wenn man nun bedenkt, dass eine Masse von mehr als 700000 Cubiclinien hier eine Färbung erhält, dass das Auge noch Zehntel der Linie, also Tausendtele der Cubiclinie, deutlich erkennt, so kann man den Gran als in jedem der 700 Millionen sichtbarer Teilchen seine Wirkung zeigend, 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Welche zarte Bildungen die Natur uns, beſonders in den organiſchen Koͤrpern zeigt, wie in den Thierchen, die nur dem Milliontel eines Sandkoͤrnchens an Groͤße gleich kommen, noch Theile zu Unterhaltung der Lebensfunctionen wahrgenommen werden, iſt aus Leuwenhoeks und andern Beobachtungen bekannt; und ebenſo feine Theile, immer noch in regelmaͤßiger Anordnung, ein Entſtehen aus noch zarteren Faſern und Gefaͤßen verrathend, zeigen uns die Vergroͤßerungsglaͤſer in den einzelnen Haͤuten und andern Theilen auch der groͤßeren Thiere.","norm":"Jeder dieser Fäden zeigte sich unter dem Mikroskop rot gefärbt, und wenn man also annimmt, dass in jedem Fuße auch nur 2000 Teile sichtbar wurden, so konnte man 14500 Millionen sichtbare Teile als wirklich gefärbt wahrnehmen . 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+{"basename":"brandes_naturlehre01_1830","par_idx":453,"date":1830,"orig":"Die Drathzieher dehnen einen Silbercylinder von 22 Zoll Laͤnge, nach Reaumur's Bemerkung, in einen Drath von 110 franzoͤſiſchen Meilen, das iſt beinahe 16 Millionen Zoll aus, alſo zur 720000 maligen Laͤnge, indem ſie ihn nach und nach durch immer engere Loͤcher ziehen.","norm":"Die Drahtzieher dehnen einen Silberzylinder von 22 Zoll Länge, nach Reaumurs Bemerkung, in einen Draht von 110 französischen Meilen, das ist beinahe 16 Millionen Zoll aus, also zur 720000 Maliern Länge, indem sie ihn nach und nach durch immer engere Löcher 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+{"basename":"brandes_naturlehre01_1830","par_idx":454,"date":1830,"orig":"Bohrt man nun in der Axe eines ſolchen Silbercylinders ein Loch, das genau den zehnten Theil des Durchmeſſers haͤlt, und fuͤllt dieſes mit Gold oder Platina aus, ſo dehnt ſich beim Drathziehen der den innern Kern des Cylinders ausmachende Koͤrper mit dem Silber aus, und man kann auf dieſe Weiſe Golddrath erhalten, von welchem 500 Fuß nur 1 Gran wiegen.","norm":"Bohrt man nun in der Achse eines solchen Silberzylinders ein Loch, das genau den zehnten Teil des Durchmessers hält, und füllt dieses mit Gold oder Platina aus, so dehnt sich beim Drahtziehen der den inneren Kern des Zylinders ausmachende Körper mit dem Silber aus, und man kann auf diese Weise Golddraht erhalten, von welchem 500 Fuß nur 1 Gran 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+{"basename":"brandes_naturlehre01_1830","par_idx":455,"date":1830,"orig":"Berechnet man hieraus den Durchmeſſer des Drathes, ſo findet man ihn ungefaͤhr = [Formel] Zoll , und dies ſtimmt mit Wollaſton's Angabe uͤberein, der den Silberdrath als bis zu [Formel] Zoll Dicke ausgezogen angiebt, wo dann der nur den zehnten Theil ſo dicke Gold- oder Platinadrath nur [Formel] Zoll dick ſein wuͤrde.","norm":"Berechnet man hieraus den Durchmesser des Drahtes, so findet man ihn ungefähr = [Formel] Zoll, und dies stimmt mit Wollastons Angabe überein, der den Silberdraht als bis zu [Formel] Zoll Dicke ausgezogen angibt, wo dann der nur den zehnten Teil so dicke Gold- oder Platinadrath nur [Formel] Zoll dick sein 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+{"basename":"brandes_naturlehre01_1830","par_idx":457,"date":1830,"orig":"Nimmt man 1 Cubiczoll Waſſer = 373 franzoͤſ. Grains oder ungefaͤhr = 330 engliſchen Grains, ſo kann man 1 Cubiczoll Gold = 6350 engl. Grains rechnen.","norm":"Nimmt man 1 Cubiczoll Wasser = 373 französ. Grains oder ungefähr = 330 englischen Grains, so kann man 1 Cubiczoll Gold = 6350 engl. Grains rechnen.","orig_tok":["Nimmt","man","1","Cubiczoll","Waſſer","=","373","franzoͤſ.","Grains","oder","ungefaͤhr","=","330","engliſchen","Grains",",","ſo","kann","man","1","Cubiczoll","Gold","=","6350","engl.","Grains","rechnen","."],"norm_tok":["Nimmt","man","1","Cubiczoll","Wasser","=","373","französ",".","Grains","oder","ungefähr","=","330","englischen","Grains",",","so","kann","man","1","Cubiczoll","Gold","=","6350","engl.","Grains","rechnen","."],"orig_spans":[[0,5],[6,9],[10,11],[12,21],[22,28],[29,30],[31,34],[35,44],[45,51],[52,56],[57,66],[67,68],[69,72],[73,83],[84,90],[90,91],[92,94],[95,99],[100,103],[104,105],[106,115],[116,120],[121,122],[123,127],[128,133],[134,140],[141,148],[148,149]],"norm_spans":[[0,5],[6,9],[10,11],[12,21],[22,28],[29,30],[31,34],[35,42],[42,43],[44,50],[51,55],[56,64],[65,66],[67,70],[71,81],[82,88],[88,89],[90,92],[93,97],[98,101],[102,103],[104,113],[114,118],[119,120],[121,125],[126,131],[132,138],[139,146],[146,147]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"lb","orig_lang_de":0.667,"norm_lmscore":4.596199989318848} +{"basename":"brandes_naturlehre01_1830","par_idx":458,"date":1830,"orig":"Sollen alſo 500 Fuß oder 6000 Zoll Laͤnge 1 Gr. wiegen, ſo muͤſſen ſie [Formel] Cubiczoll betragen, und der Querſchnitt des Drathes muß = [Formel] Quadratzoll ſein, oder ſein Durchmeſſer [Formel] Zoll = [Formel] Linie betragen. Gilb. Ann. LII. 284.","norm":"Sollen also 500 Fuß oder 6000 Zoll Länge 1 Gr. wiegen, so müssen sie [Formel] Cubiczoll betragen, und der Querschnitt des Drahtes muss = [Formel] Quadratzoll sein, oder sein Durchmesser [Formel] Zoll = [Formel] Linie betragen . Gilb. Ann. LII. 284.","orig_tok":["Sollen","alſo","500","Fuß","oder","6000","Zoll","Laͤnge","1","Gr.","wiegen",",","ſo","muͤſſen","ſie","[Formel]","Cubiczoll","betragen",",","und","der","Querſchnitt","des","Drathes","muß","=","[Formel]","Quadratzoll","ſein",",","oder","ſein","Durchmeſſer","[Formel]","Zoll","=","[Formel]","Linie","betragen",".","Gilb.","Ann.","LII.","284","."],"norm_tok":["Sollen","also","500","Fuß","oder","6000","Zoll","Länge","1","Gr",".","wiegen",",","so","müssen","sie","[","Formel","]","Cubiczoll","betragen",",","und","der","Querschnitt","des","Drahtes","muss","=","[","Formel","]","Quadratzoll","sein",",","oder","sein","Durchmesser","[","Formel","]","Zoll","=","[","Formel","]","Linie","betragen",".","Gilb",".","Ann",".","LII",".","284."],"orig_spans":[[0,6],[7,11],[12,15],[16,19],[20,24],[25,29],[30,34],[35,41],[42,43],[44,47],[48,54],[54,55],[56,58],[59,66],[67,70],[71,79],[80,89],[90,98],[98,99],[100,103],[104,107],[108,119],[120,123],[124,131],[132,135],[136,137],[138,146],[147,158],[159,163],[163,164],[165,169],[170,174],[175,186],[187,195],[196,200],[201,202],[203,211],[212,217],[218,226],[226,227],[228,233],[234,238],[239,243],[244,247],[247,248]],"norm_spans":[[0,6],[7,11],[12,15],[16,19],[20,24],[25,29],[30,34],[35,40],[41,42],[43,45],[45,46],[47,53],[53,54],[55,57],[58,64],[65,68],[69,70],[70,76],[76,77],[78,87],[88,96],[96,97],[98,101],[102,105],[106,117],[118,121],[122,129],[130,134],[135,136],[137,138],[138,144],[144,145],[146,157],[158,162],[162,163],[164,168],[169,173],[174,185],[186,187],[187,193],[193,194],[195,199],[200,201],[202,203],[203,209],[209,210],[211,216],[217,225],[226,227],[228,232],[232,233],[234,237],[237,238],[239,242],[242,243],[244,248]],"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],[15,17],[15,18],[16,19],[17,20],[18,21],[19,22],[20,23],[21,24],[22,25],[23,26],[24,27],[25,28],[26,29],[26,30],[26,31],[27,32],[28,33],[29,34],[30,35],[31,36],[32,37],[33,38],[33,39],[33,40],[34,41],[35,42],[36,43],[36,44],[36,45],[37,46],[38,47],[39,48],[40,49],[40,50],[41,51],[41,52],[42,53],[43,null],[44,54],[null,55]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.000500202178955} +{"basename":"brandes_naturlehre01_1830","par_idx":459,"date":1830,"orig":"Man hat gefragt, ob die Materie ins Unendliche theilbar ſei.","norm":"Man hat gefragt, ob die Materie ins Unendliche teilbar sei.","orig_tok":["Man","hat","gefragt",",","ob","die","Materie","ins","Unendliche","theilbar","ſei","."],"norm_tok":["Man","hat","gefragt",",","ob","die","Materie","ins","Unendliche","teilbar","sei","."],"orig_spans":[[0,3],[4,7],[8,15],[15,16],[17,19],[20,23],[24,31],[32,35],[36,46],[47,55],[56,59],[59,60]],"norm_spans":[[0,3],[4,7],[8,15],[15,16],[17,19],[20,23],[24,31],[32,35],[36,46],[47,54],[55,58],[58,59]],"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":3.773400068283081} +{"basename":"brandes_naturlehre01_1830","par_idx":460,"date":1830,"orig":"Dieſe Frage laͤßt ſich nicht beantworten; aber die angefuͤhrten Beiſpiele zeigen, daß dieſe Theilbarkeit ſich wenigſtens ungemein weit nachweiſen laͤßt .","norm":"Diese Frage lässt sich nicht beantworten; aber die angeführten Beispiele zeigen, dass diese Teilbarkeit sich wenigstens ungemein weit nachweisen 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+{"basename":"brandes_naturlehre01_1830","par_idx":461,"date":1830,"orig":"Am weiteſten ſcheint die feine Vertheilung bei den ſtark riechenden Koͤrpern ſich nachweiſen zu laſſen, von welchen ein einziger Gran hinreicht, um ſehr große Raͤume mit dem Geruche zu erfuͤllen; aber immer bleiben dieſe Theilungen doch weit hinter dem zuruͤck, wovon man in der neueſten Zeit bei den Doſen von Arzneimitteln geredet hat.","norm":"Am weitesten scheint die feine Verteilung bei den stark riechenden Körpern sich nachweisen zu lassen, von welchen ein einziger Gran hinreicht, um sehr große Räume mit dem Geruche zu erfüllen; aber immer bleiben diese Teilungen doch weit hinter dem zurück, wovon man in der neuesten Zeit bei den Dosen von Arzneimitteln geredet 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+{"basename":"brandes_naturlehre01_1830","par_idx":462,"date":1830,"orig":"Um von 1 Quintilliontel Gran einen Begriff zu erhalten, (denn ſo wenig betraͤgt zuweilen eine ſolche Doſis) muß man erwaͤgen, daß die 6000jaͤhrige Dauer der Menſchengeſchichte 2191500 Tage, oder 52596000 Stunden, wofuͤr ich 53 Millionen Stunden ſetzen will, betraͤgt.","norm":"Um von 1 Quintilliontele Gran einen Begriff zu erhalten, (denn so wenig beträgt zuweilen eine solche Dosis) muss man erwägen, dass die 6000-jährige Dauer der Menschengeschichte 2191500 Tage, oder 52596000 Stunden, wofür ich 53 Millionen Stunden setzen will, 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+{"basename":"brandes_naturlehre01_1830","par_idx":463,"date":1830,"orig":"Die Weltgeſchichte umfaßt alſo nur etwa 190000 Millionen Secunden.","norm":"Die Weltgeschichte umfasst also nur etwa 190000 Millionen Sekunden.","orig_tok":["Die","Weltgeſchichte","umfaßt","alſo","nur","etwa","190000","Millionen","Secunden","."],"norm_tok":["Die","Weltgeschichte","umfasst","also","nur","etwa","190000","Millionen","Sekunden","."],"orig_spans":[[0,3],[4,18],[19,25],[26,30],[31,34],[35,39],[40,46],[47,56],[57,65],[65,66]],"norm_spans":[[0,3],[4,18],[19,26],[27,31],[32,35],[36,40],[41,47],[48,57],[58,66],[66,67]],"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":6.105700016021728} +{"basename":"brandes_naturlehre01_1830","par_idx":464,"date":1830,"orig":"Waͤre nun die Erde dieſe ganze Zeit durch mit 1000 Millionen Menſchen in jedem Zeitpuncte bevoͤlkert geweſen, und haͤtte jeder derſelben alle Secunden eine Doſis eben des Arzneimittels genommen, ſo waͤren 190 Trillionen ſolcher Doſen oder ungefaͤhr 200 Trillionen ſolcher Doſen verbraucht.","norm":"Wäre nun die Erde diese ganze Zeit durch mit 1000 Millionen Menschen in jedem Zeitpunkt bevölkert gewesen, und hätte jeder derselben alle Sekunden eine Dosis eben des Arzneimittels genommen, so wären 190 Trillionen solcher Dosen oder ungefähr 200 Trillionen solcher Dosen 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wahrnimmt.","orig_tok":["Daß","von","dieſer","Poroſitaͤt","es","zum","Theil","abhaͤngt",",","daß","einige","Koͤrper","leichter",",","weniger","dicht",",","als","andere","ſind",",","iſt","ziemlich","in","die","Augen","fallend",",","oder","laͤßt","ſich","wenigſtens","aus","den","Veraͤnderungen","ſchließen",",","die","man","bei","ſtarker","Zuſammenpreſſung","derſelben","wahrnimmt","."],"norm_tok":["Dass","von","dieser","Porosität","es","zum","Teil","abhängt",",","dass","einige","Körper","leichter",",","weniger","dicht",",","als","andere","sind",",","ist","ziemlich","in","die","Augen","fallend",",","oder","lässt","sich","wenigstens","aus","den","Veränderungen","schließen",",","die","man","bei","starker","Zusammenpressung","derselben","wahrnimmt","."],"orig_spans":[[0,3],[4,7],[8,14],[15,25],[26,28],[29,32],[33,38],[39,47],[47,48],[49,52],[53,59],[60,67],[68,76],[76,77],[78,85],[86,91],[91,92],[93,96],[97,103],[104,108],[108,109],[110,113],[114,122],[123,125],[126,129],[130,135],[136,143],[143,144],[145,149],[150,155],[156,160],[161,171],[172,175],[176,179],[180,194],[195,204],[204,205],[206,209],[210,213],[214,217],[218,225],[226,242],[243,252],[253,262],[262,263]],"norm_spans":[[0,4],[5,8],[9,15],[16,25],[26,28],[29,32],[33,37],[38,45],[45,46],[47,51],[52,58],[59,65],[66,74],[74,75],[76,83],[84,89],[89,90],[91,94],[95,101],[102,106],[106,107],[108,111],[112,120],[121,123],[124,127],[128,133],[134,141],[141,142],[143,147],[148,153],[154,158],[159,169],[170,173],[174,177],[178,191],[192,201],[201,202],[203,206],[207,210],[211,214],[215,222],[223,239],[240,249],[250,259],[259,260]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.615699768066406} +{"basename":"brandes_naturlehre01_1830","par_idx":472,"date":1830,"orig":"Wir ſind gewohnt, Holz als weniger dicht in Vergleichung gegen Waſſer anzuſehen; aber Scoresby erzaͤhlt einen Fall, wo ein Boot, durch einen weit in die Tiefe gehenden Wallfiſch hinabgezogen, als der Wallfiſch getoͤdtet und nun das an ihm feſthaͤngende Boot heraufgezogen war, eine ſolche Dichtigkeit erlangt hatte, daß es nicht mehr uͤber Waſſer zu erhalten und ſelbſt nach dem Austrocknen unbrauchbar geworden war.","norm":"Wir sind gewohnt, Holz als weniger dicht in Vergleichung gegen Wasser anzusehen; aber Scoresby erzählt einen Fall, wo ein Boot, durch einen weit in die Tiefe gehenden Wallfisch hinabgezogen, als der Wallfisch getötet und nun das an ihm festhängende Boot heraufgezogen war, eine solche Dichtigkeit erlangt hatte, dass es nicht mehr über Wasser zu erhalten und selbst nach dem Austrocknen unbrauchbar geworden 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B. daß ſich Queckſilber durch die Poren dichten Leders druͤcken laͤßt, ja daß ein ſtarker Druck es ſelbſt durch die Poren des Holzes hindurch treibt; daß fluͤſſige Materien, namentlich Waſſer und Weingeiſt zu einander gemiſcht, einen kleinern Raum einnehmen, als ſie ungemiſcht einnahmen; daß die Ausduͤnſtung gewiſſer Materien ihre Wirkungen da zeigen, wohin ſie bloß durch die Poren feſter Koͤrper gelangen koͤnnen.","norm":"Man pflegt in der Experimentalphysik mehrere Versuche zu zeigen, die einen Beweis für die Porosität der Körper geben, z. B. dass sich Quecksilber durch die Poren dichten Leders drücken lässt, ja dass ein starker Druck es selbst durch die Poren des Holzes hindurch treibt; dass flüssige Materien, namentlich Wasser und Weingeist zueinander gemischt, einen kleineren Raum einnehmen, als sie ungemischt einnahmen; dass die Ausdünstung gewisser Materien ihre Wirkungen da zeigen, wohin sie bloß durch die Poren fester Körper gelangen 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+{"basename":"brandes_naturlehre01_1830","par_idx":475,"date":1830,"orig":"Zum Beweiſe des letztern dient folgender Verſuch.","norm":"Zum Beweise des letzteren dient folgender Versuch.","orig_tok":["Zum","Beweiſe","des","letztern","dient","folgender","Verſuch","."],"norm_tok":["Zum","Beweise","des","letzteren","dient","folgender","Versuch","."],"orig_spans":[[0,3],[4,11],[12,15],[16,24],[25,30],[31,40],[41,48],[48,49]],"norm_spans":[[0,3],[4,11],[12,15],[16,25],[26,31],[32,41],[42,49],[49,50]],"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":7.408199787139893} +{"basename":"brandes_naturlehre01_1830","par_idx":476,"date":1830,"orig":"Man loͤſet Bleizucker in Waſſer auf, und ſchreibt mit dieſer ganz farbeloſen Aufloͤſung auf ein weißes Papier; man legt das ſo beſchriebene, trocken gewordene Papier in ein Buch, ſo daß es zwiſchen den dicht an einander liegenden Blaͤttern des Buches gegen allen freien Zutritt der Luft geſichert iſt; man legt nun an eine andre Stelle des Buches, ſo daß mehr als 200 Blaͤtter dazwiſchen ſind, ein mit friſch bereiteter Aufloͤſung von Schwefelkalk in Waſſer befeuchtetes Papier, und legt das Buch ſo zuſammen, daß die Duͤnſte der Schwefelleber nur durch die Poren des Papiers dorthin gelangen koͤnnen, ſo findet man dennoch nach ſehr kurzer Zeit jene Schrift braun geworden, vermoͤge der Einwirkung eben jener Daͤmpfe. —","norm":"Man löset Bleizucker in Wasser auf, und schreibt mit dieser ganz farbelosen Auflösung auf ein weißes Papier; man legt das so beschriebene, trocken gewordene Papier in ein Buch, so dass es zwischen den dicht aneinander liegenden Blättern des Buches gegen allen freien Zutritt der Luft gesichert ist; man legt nun an eine andere Stelle des Buches, so dass mehr als 200 Blätter dazwischen sind, ein mit frisch bereiteter Auflösung von Schwefelkalk in Wasser befeuchtetes Papier, und legt das Buch so zusammen, dass die Dünste der Schwefelleber nur durch die Poren des Papiers dorthin gelangen können, so findet man dennoch nach sehr kurzer Zeit jene Schrift braun geworden, vermöge der Einwirkung eben jener Dämpfe . 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Ann. XII. 389.","norm":"Gilb. Ann. XII. 389.","orig_tok":["Gilb.","Ann.","XII.","389","."],"norm_tok":["Gilb",".","Ann",".","XII",".","389."],"orig_spans":[[0,5],[6,10],[11,15],[16,19],[19,20]],"norm_spans":[[0,4],[4,5],[6,9],[9,10],[11,14],[14,15],[16,20]],"alignment":[[0,0],[0,1],[1,2],[1,3],[2,4],[2,5],[3,6],[4,6]],"lang_fastText":"en","lang_py3langid":"en","lang_cld3":"gd","orig_lang_de":0,"norm_lmscore":5.2164998054504395} +{"basename":"brandes_naturlehre01_1830","par_idx":503,"date":1830,"orig":"In Ruͤckſicht auf dieſen Zuſammenhang oder auf die Cohaͤſion bieten die Koͤrper eine hoͤchſt mannigfaltige Verſchiedenheit dar, indem einige dem Zerreißen, andre dem Zerbrechen, andre dem Eindringen in ihre Oberflaͤche groͤßern Widerſtand leiſten.","norm":"In Rücksicht auf diesen Zusammenhang oder auf die Kohäsion bieten die Körper eine höchst mannigfaltige Verschiedenheit dar, indem einige dem Zerreißen, andere dem Zerbrechen, andere dem Eindringen in ihre Oberfläche größeren Widerstand leisten.","orig_tok":["In","Ruͤckſicht","auf","dieſen","Zuſammenhang","oder","auf","die","Cohaͤſion","bieten","die","Koͤrper","eine","hoͤchſt","mannigfaltige","Verſchiedenheit","dar",",","indem","einige","dem","Zerreißen",",","andre","dem","Zerbrechen",",","andre","dem","Eindringen","in","ihre","Oberflaͤche","groͤßern","Widerſtand","leiſten","."],"norm_tok":["In","Rücksicht","auf","diesen","Zusammenhang","oder","auf","die","Kohäsion","bieten","die","Körper","eine","höchst","mannigfaltige","Verschiedenheit","dar",",","indem","einige","dem","Zerreißen",",","andere","dem","Zerbrechen",",","andere","dem","Eindringen","in","ihre","Oberfläche","größeren","Widerstand","leisten","."],"orig_spans":[[0,2],[3,13],[14,17],[18,24],[25,37],[38,42],[43,46],[47,50],[51,60],[61,67],[68,71],[72,79],[80,84],[85,92],[93,106],[107,122],[123,126],[126,127],[128,133],[134,140],[141,144],[145,154],[154,155],[156,161],[162,165],[166,176],[176,177],[178,183],[184,187],[188,198],[199,201],[202,206],[207,218],[219,227],[228,238],[239,246],[246,247]],"norm_spans":[[0,2],[3,12],[13,16],[17,23],[24,36],[37,41],[42,45],[46,49],[50,58],[59,65],[66,69],[70,76],[77,81],[82,88],[89,102],[103,118],[119,122],[122,123],[124,129],[130,136],[137,140],[141,150],[150,151],[152,158],[159,162],[163,173],[173,174],[175,181],[182,185],[186,196],[197,199],[200,204],[205,215],[216,224],[225,235],[236,243],[243,244]],"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":4.368000030517578} +{"basename":"brandes_naturlehre01_1830","par_idx":504,"date":1830,"orig":"Wir unterſcheiden daher harte und weiche Koͤrper, und ſelbſt der weiche Koͤrper, das iſt derjenige, deſſen Oberflaͤche ziemlich leicht Eindruͤcke annimmt, kann dennoch dem Zerreißen (wie z. B. das Holz) einen großen Widerſtand leiſten.","norm":"Wir unterscheiden daher harte und weiche Körper, und selbst der weiche Körper, das ist derjenige, dessen Oberfläche ziemlich leicht Eindrücke annimmt, kann dennoch dem Zerreißen (wie z. B. das Holz) einen großen Widerstand 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+{"basename":"brandes_naturlehre01_1830","par_idx":505,"date":1830,"orig":"Hart nennen wir naͤmlich die Koͤrper, die jedem Hineindringen in ihre Oberflaͤche ſtarken Widerſtand darbieten.","norm":"Hart nennen wir nämlich die Körper, die jedem Hineindringen in ihre Oberfläche starken Widerstand 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hart, daß kein andrer Koͤrper ſeine Oberflaͤche durch Einritzen angreift, und dennoch kann der geſchickte Kuͤnſtler, wenn er die Lage der Blaͤttchen, aus denen der als Cryſtall gebildete Diamant beſteht, richtig wahrnimmt, dieſe Blaͤtter abſpalten, ſo daß die Haͤrte hauptſaͤchlich nur auf dem feſten Zuſammenhange der Theilchen jedes ſolchen Blaͤttchens beruht. —","norm":"Der Stahl ist härter als Eisen, der Diamant so hart, dass kein anderer Körper seine Oberfläche durch Einritzen angreift, und dennoch kann der geschickte Künstler, wenn er die Lage der Blättchen, aus denen der als Kristall gebildete Diamant besteht, richtig wahrnimmt, diese Blätter abspalten, so dass die Härte hauptsächlich nur auf dem festen Zusammenhang der Teilchen jedes solchen Blättchens beruht . 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+{"basename":"brandes_naturlehre01_1830","par_idx":563,"date":1830,"orig":"Auch der Ausdruck: daß die Geſchwindigkeit dem in gleichen Zeiten durchlaufenen Wege proportional ſei, iſt hieraus deutlich, und ebenſo daß die zum Durchlaufen eines beſtimmten Weges erforderliche Zeit, der Geſchwindigkeit umgekehrt proportional iſt; denn der doppelt ſo ſchnell bewegte Koͤrper gebraucht fuͤr eben den Raum nur halb ſo viel Zeit, der dreimal ſo ſchnell bewegte braucht nur ein Drittel der Zeit u. ſ. w. — und dieſes will eben der Ausdruck: umgekehrt proportional, ſagen.","norm":"Auch der Ausdruck: dass die Geschwindigkeit dem in gleichen Zeiten durchlaufenen Wege proportional sei, ist hieraus deutlich, und ebenso dass die zum Durchlaufen eines bestimmten Weges erforderliche Zeit, der Geschwindigkeit umgekehrt proportional ist; denn der doppelt so schnell bewegte Körper gebraucht für eben den Raum nur halb so viel Zeit, der dreimal so schnell bewegte braucht nur ein Drittel der Zeit u. s. w. — und 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+{"basename":"brandes_naturlehre01_1830","par_idx":565,"date":1830,"orig":"Bei der gleichfoͤrmigen Bewegung iſt die Geſchwindigkeit immer unveraͤndert, und an dieſe denken wir, wenn wir etwa von der Geſchwindigkeit des Windes, die bei Stuͤrmen 100 Fuß in der Secunde und noch mehr betragen kann, von der Geſchwindigkeit des engliſchen Rennpferdes Stirling, das zu Anfang ſeines Laufes 82½ Fuß in einer Secunde zuruͤcklegte , von der Geſchwindigkeit der Erde in ihrer Bahn, die = 93700 pariſer Fuß in einer Secunde iſt, reden; aber der frei fallende Stein zeigt uns, je tiefer er gefallen iſt, deſto maͤchtigere Wirkungen, und giebt uns ſo eine mit dem tiefern Falle immer groͤßer werdende Geſchwindigkeit zu erkennen; wir fragen daher mit Recht, wie wir hier den Begriff der in irgend einem Augenblicke ſtatt findenden Geſchwindigkeit klar auffaſſen ſollen.","norm":"Bei der gleichförmigen Bewegung ist die Geschwindigkeit immer unverändert, und an diese denken wir, wenn wir etwa von der Geschwindigkeit des Windes, die bei Stürmen 100 Fuß in der Sekunde und noch mehr betragen kann, von der Geschwindigkeit des englischen Rennpferdes Stirling, das zu Anfang seines Laufes 821/2 Fuß in einer Sekunde zurücklegte, von der Geschwindigkeit der Erde in ihrer Bahn, die = 93700 Pariser Fuß in einer Sekunde ist, reden; aber der frei fallende Stein zeigt uns, je tiefer er gefallen ist, desto mächtigere Wirkungen, und gibt uns so eine mit dem tieferen Falle immer größer werdende Geschwindigkeit zu erkennen; wir fragen daher mit Recht, wie wir hier den Begriff der in irgendeinem Augenblicke statt findenden Geschwindigkeit klar auffassen 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+{"basename":"brandes_naturlehre01_1830","par_idx":566,"date":1830,"orig":"Da es erſt in der Folge mir moͤglich ſein wird, durch Experimente Ihnen zu zeigen, daß wir gar wohl in gewiſſen Faͤllen im Stande ſind, die Beſchleunigung der Bewegung zu unterbrechen, das heißt, zu bewirken, daß die bis dahin fortwaͤhrend ſchneller werdende Bewegung nun nur diejenige Geſchwindigkeit ohne weitere Vermehrung behaͤlt, welche ſie einmal erlangt hat:","norm":"Da es erst in der Folge mir möglich sein wird, durch Experimente Ihnen zu zeigen, dass wir gar wohl in gewissen Fällen im Stande sind, die Beschleunigung der Bewegung zu unterbrechen, das heißt, zu bewirken, dass die bis dahin fortwährend schneller werdende Bewegung nun nur diejenige Geschwindigkeit ohne weitere Vermehrung behält, welche sie einmal erlangt 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+{"basename":"brandes_naturlehre01_1830","par_idx":567,"date":1830,"orig":"ſo muß ich mich hier begnuͤgen, nur zu ſagen, daß wir uns wenigſtens vorſtellen koͤnnen, die Beſchleunigung, die Zunahme der Geſchwindigkeit, hoͤre ploͤtzlich auf, und der Koͤrper gehe mit dieſer erlangten Geſchwindigkeit fort; dann wuͤrden wir dieſe grade in dem Augenblicke erlangte Geſchwindigkeit unmittelbar kennen lernen.","norm":"so muss ich mich hier begnügen, nur zu sagen, dass wir uns wenigstens vorstellen können, die Beschleunigung, die Zunahme der Geschwindigkeit, höre plötzlich auf, und der Körper gehe mit dieser erlangten Geschwindigkeit fort; dann würden wir diese gerade in dem Augenblicke erlangte Geschwindigkeit unmittelbar kennen 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+{"basename":"brandes_naturlehre01_1830","par_idx":568,"date":1830,"orig":"Wo dies nicht der Fall iſt, da koͤnnten wir allenfalls auf andre Mittel denken, um dieſe, in einem beſtimmten Augenblicke ſtatt findende Geſchwindigkeit kennen zu lernen, die ſich jedoch erſt in der Folge auf eine recht angemeſſene Weiſe darbieten.","norm":"Wo dies nicht der Fall ist, da könnten wir allenfalls auf andere Mittel denken, um diese, in einem bestimmten Augenblicke statt findende Geschwindigkeit kennenzulernen, die sich jedoch erst in der Folge auf eine recht angemessene Weise 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+{"basename":"brandes_naturlehre01_1830","par_idx":605,"date":1830,"orig":"Unzaͤhlige taͤgliche Erfahrungen beruhen hierauf.","norm":"Unzählige tägliche Erfahrungen beruhen hierauf.","orig_tok":["Unzaͤhlige","taͤgliche","Erfahrungen","beruhen","hierauf","."],"norm_tok":["Unzählige","tägliche","Erfahrungen","beruhen","hierauf","."],"orig_spans":[[0,10],[11,20],[21,32],[33,40],[41,48],[48,49]],"norm_spans":[[0,9],[10,18],[19,30],[31,38],[39,46],[46,47]],"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":5.296299934387207} +{"basename":"brandes_naturlehre01_1830","par_idx":606,"date":1830,"orig":"Ein ſcharf gefaltetes Papier kann nach der Richtung dieſer Falte zerriſſen werden; aber nur dann, wenn man mit einem ſchnellen Riſſe die Theile trennt, geht der Riß grade fort, und langſam, Punct fuͤr Punct trennend, iſt man der Gefahr ſeitwaͤrts einzureißen, weit mehr ausgeſetzt.","norm":"Ein scharf gefaltetes Papier kann nach der Richtung dieser Falte zerrissen werden; aber nur dann, wenn man mit einem schnellen Risse die Teile trennt, geht der Riss gerade fort, und langsam, Punkt für Punkt trennend, ist man der Gefahr seitwärts einzureißen, weit mehr 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+{"basename":"brandes_naturlehre01_1830","par_idx":607,"date":1830,"orig":"Und ſo wie hier der Zweck durch eine ſchnelle Bewegung, nach ſicher beſtimmter Richtung ausgefuͤhrt, erreicht wird, ſo dient zu andern Zwecken eine recht langſame, vorſichtige Bewegung.","norm":"Und so wie hier der Zweck durch eine schnelle Bewegung, nach sicher bestimmter Richtung ausgeführt, erreicht wird, so dient zu anderen Zwecken eine recht langsame, vorsichtige Bewegung.","orig_tok":["Und","ſo","wie","hier","der","Zweck","durch","eine","ſchnelle","Bewegung",",","nach","ſicher","beſtimmter","Richtung","ausgefuͤhrt",",","erreicht","wird",",","ſo","dient","zu","andern","Zwecken","eine","recht","langſame",",","vorſichtige","Bewegung","."],"norm_tok":["Und","so","wie","hier","der","Zweck","durch","eine","schnelle","Bewegung",",","nach","sicher","bestimmter","Richtung","ausgeführt",",","erreicht","wird",",","so","dient","zu","anderen","Zwecken","eine","recht","langsame",",","vorsichtige","Bewegung","."],"orig_spans":[[0,3],[4,6],[7,10],[11,15],[16,19],[20,25],[26,31],[32,36],[37,45],[46,54],[54,55],[56,60],[61,67],[68,78],[79,87],[88,99],[99,100],[101,109],[110,114],[114,115],[116,118],[119,124],[125,127],[128,134],[135,142],[143,147],[148,153],[154,162],[162,163],[164,175],[176,184],[184,185]],"norm_spans":[[0,3],[4,6],[7,10],[11,15],[16,19],[20,25],[26,31],[32,36],[37,45],[46,54],[54,55],[56,60],[61,67],[68,78],[79,87],[88,98],[98,99],[100,108],[109,113],[113,114],[115,117],[118,123],[124,126],[127,134],[135,142],[143,147],[148,153],[154,162],[162,163],[164,175],[176,184],[184,185]],"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":4.6528000831604} +{"basename":"brandes_naturlehre01_1830","par_idx":608,"date":1830,"orig":"Ein eingeroſtetes Schloß ſoll geoͤffnet werden, und der Schluͤſſel, obgleich er richtig eingeſteckt iſt, laͤßt ſich nicht drehen; — ein Ungeſchickter ſieht ſich ſogleich nach einem Verſtaͤrkungsmittel ſeiner Kraft, eine durch den obern Ring zu ſteckende Stange und dergleichen um; wendet raſch alle Gewalt an, und bricht den Bart des Schluͤſſels ab; der Schloſſer dagegen, oder wer auch nur mit Schloͤſſern umzugehen weiß, faßt den Schluͤſſel leiſe, draͤngt langſam vorwaͤrts, verſtaͤrkt recht langſam ſeine Kraft, und erreicht dadurch ſeinen Zweck. —","norm":"Ein eingerostetes Schloss soll geöffnet werden, und der Schlüssel, obgleich er richtig eingesteckt ist, lässt sich nicht drehen; — ein Ungeschickter sieht sich sogleich nach einem Verstärkungsmittel seiner Kraft, eine durch den oberen Ring zu steckende Stange und dergleichen um; wendet rasch alle Gewalt an, und bricht den Bart des Schlüssels ab; der Schlosser dagegen, oder wer auch nur mit Schlössern umzugehen weiß, fasst den Schlüssel leise, drängt langsam vorwärts, verstärkt recht langsam seine Kraft, und erreicht dadurch seinen Zweck . 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+{"basename":"brandes_naturlehre01_1830","par_idx":610,"date":1830,"orig":"Dieſe ungleiche Einwirkung einer ploͤtzlich wirkenden und einer langſam andraͤngenden Kraft zeigt ſich auch in einigen Erſcheinungen, die ſich beim Steineſprengen und beim ſchnellen Reiben weichen Eiſens an Glas oder Stahl darbieten.","norm":"Diese ungleiche Einwirkung einer plötzlich wirkenden und einer langsam andrängenden Kraft zeigt sich auch in einigen Erscheinungen, die sich beim Steinesprengen und beim schnellen Reiben weichen Eisens an Glas oder Stahl 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+{"basename":"brandes_naturlehre01_1830","par_idx":611,"date":1830,"orig":"Es iſt bekannt, daß man beim Abſprengen der Steinmaſſen vom natuͤrlichen Fels oder beim Zerſprengen einzelner Steine ſich des Schießpulvers ſo bedient, daß man cylindriſche Loͤcher ſo tief, als man es nach Maaßgabe der abzuſprengenden Stuͤcke noͤthig findet, einbohrt, ſie mit Schießpulver zum Theil fuͤllt, dann oben ſie durch kleines feſtgeſtampftes Geſtein verſchließt und durch ein mit Schießpulver gefuͤlltes, durch dieſe eingeſtampfte Bedeckung reichendes Rohr, das unten enthaltene Pulver entzuͤndet.","norm":"Es ist bekannt, dass man beim Absprengen der Steinmassen vom natürlichen Fels oder beim Zersprengen einzelner Steine sich des Schießpulvers so bedient, dass man zylindrische Löcher so tief, als man es nach Maßgabe der abzusprengenden Stücke nötig findet, einbohrt, sie mit Schießpulver zum Teil füllt, dann oben sie durch kleines festgestampftes Gestein verschließt und durch ein mit Schießpulver gefülltes, durch diese eingestampfte Bedeckung reichendes Rohr, das unten enthaltene Pulver 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Stücke teilt, so hat man doch diesen Erfolg als den ganz natürlichen angesehen; aber als eine wunderbare Erscheinung trat dagegen die von Jessop gemachte Erfahrung hervor, dass es des Feststampfens gar nicht bedürfe, sondern dass bei Füllung des Bohrloches mit völlig losem Sande das Zerspringen des Steines ebenso gut 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+{"basename":"brandes_naturlehre01_1830","par_idx":614,"date":1830,"orig":"Es iſt bekannt, daß ſelbſt wenn die Kugel aus dem Schießgewehr hervorgetrieben wird, auch die Waͤnde des Rohres einen Stoß leiden; da aber hier die Kugel, als ein einziger feſter Koͤrper ſogleich fortgefuͤhrt wird, ſo hat der Druck auf die Waͤnde nicht Kraft und Dauer genug, um das Rohr oder den Stein zu ſprengen; ſind es dagegen einzelne Sandkoͤrnchen, locker aufgeſchuͤttet, oder ſind es Steinſtuͤckchen, die man zuſammengeſtampft hat, ſo draͤngt ſich die erſte Schichte an die zweite, dieſe an die dritte, und ſo klein der Zeitverluſt uns ſcheint, der dadurch bewirkt wird, ſo reicht doch dieſe Verlaͤngerung der Einwirkung hin, um die Zerſprengung des Steines zu Stande zu bringen, ehe der Sand herausgeworfen wird.","norm":"Es ist bekannt, dass selbst wenn die Kugel aus dem Schießgewehr hervorgetrieben wird, auch die Wände des Rohres einen Stoß leiden; da aber hier die Kugel, als ein einziger fester Körper sogleich fortgeführt wird, so hat der Druck auf die Wände nicht Kraft und Dauer genug, um das Rohr oder den Stein zu sprengen; sind es dagegen einzelne Sandkörnchen, locker aufgeschüttet, oder sind es Steinstückchen, die man zusammengestampft hat, so drängt sich die erste Schicht an die Zweite, diese an die dritte, und so klein der Zeitverlust uns scheint, der dadurch bewirkt wird, so reicht doch diese Verlängerung der Einwirkung hin, um die Zersprengung des Steines zu Stande zu bringen, ehe der Sand herausgeworfen 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+{"basename":"brandes_naturlehre01_1830","par_idx":615,"date":1830,"orig":"So wie der Pfeifenſtiel ſchon zerbrochen iſt, ehe die Mittheilung der Bewegung bis zu den Aufhaͤngepuncten an den Haaren gelangt, ſo iſt hier der Stein in Stuͤcke geſprengt, ehe der Sand Zeit hatte, die verſchiedenen Stufen der Zuſammenpreſſung durchzugehen.","norm":"So wie der Pfeifenstiel schon zerbrochen ist, ehe die Mitteilung der Bewegung bis zu den Aufhängepunkten an den Haaren gelangt, so ist hier der Stein in Stücke gesprengt, ehe der Sand Zeit hatte, die verschiedenen Stufen der Zusammenpressung durchzugehen.","orig_tok":["So","wie","der","Pfeifenſtiel","ſchon","zerbrochen","iſt",",","ehe","die","Mittheilung","der","Bewegung","bis","zu","den","Aufhaͤngepuncten","an","den","Haaren","gelangt",",","ſo","iſt","hier","der","Stein","in","Stuͤcke","geſprengt",",","ehe","der","Sand","Zeit","hatte",",","die","verſchiedenen","Stufen","der","Zuſammenpreſſung","durchzugehen","."],"norm_tok":["So","wie","der","Pfeifenstiel","schon","zerbrochen","ist",",","ehe","die","Mitteilung","der","Bewegung","bis","zu","den","Aufhängepunkten","an","den","Haaren","gelangt",",","so","ist","hier","der","Stein","in","Stücke","gesprengt",",","ehe","der","Sand","Zeit","hatte",",","die","verschiedenen","Stufen","der","Zusammenpressung","durchzugehen","."],"orig_spans":[[0,2],[3,6],[7,10],[11,23],[24,29],[30,40],[41,44],[44,45],[46,49],[50,53],[54,65],[66,69],[70,78],[79,82],[83,85],[86,89],[90,106],[107,109],[110,113],[114,120],[121,128],[128,129],[130,132],[133,136],[137,141],[142,145],[146,151],[152,154],[155,162],[163,172],[172,173],[174,177],[178,181],[182,186],[187,191],[192,197],[197,198],[199,202],[203,216],[217,223],[224,227],[228,244],[245,257],[257,258]],"norm_spans":[[0,2],[3,6],[7,10],[11,23],[24,29],[30,40],[41,44],[44,45],[46,49],[50,53],[54,64],[65,68],[69,77],[78,81],[82,84],[85,88],[89,104],[105,107],[108,111],[112,118],[119,126],[126,127],[128,130],[131,134],[135,139],[140,143],[144,149],[150,152],[153,159],[160,169],[169,170],[171,174],[175,178],[179,183],[184,188],[189,194],[194,195],[196,199],[200,213],[214,220],[221,224],[225,241],[242,254],[254,255]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.018300056457519} +{"basename":"brandes_naturlehre01_1830","par_idx":616,"date":1830,"orig":"Obgleich iſt faſt beſorge, zu lange bei dieſem Gegenſtande zu verweilen, ſo ſcheint mir folgendes Beiſpiel von dieſer Sprengungsmethode doch zu merkwuͤrdig, um es zu uͤbergehen.","norm":"Obgleich ist fast besorge, zu lange bei diesem Gegenstande zu verweilen, so scheint mir folgendes Beispiel von dieser Sprengungsmethode doch zu merkwürdig, um es zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":617,"date":1830,"orig":"Peluger erzaͤhlt, daß man in den Steinbruͤchen bei Solothurn ſehr große Stuͤcke abzuſprengen pflege, daß aber da oft der unangenehme Umſtand eintrete, daß der abgeſprengte Block zu nahe an der Felsmaſſe liegen bleibe, um bequem fortgeſchafft zu werden.","norm":"Beluger erzählt, dass man in den Steinbrüchen bei Solothurn sehr große Stücke abzusprengen pflege, dass aber da oft der unangenehme Umstand eintrete, dass der abgesprengte Block zu nahe an der Felsmasse liegen bleibe, um bequem fortgeschafft zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":618,"date":1830,"orig":"In dieſem Falle thut das Aufſchuͤtten von Sand beſonders gute Dienſte, wie er an folgendem Beiſpiele zeigt.","norm":"In diesem Falle tut das Aufschütten von Sand besonders gute Dienste, wie er an folgendem Beispiele 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Sept. 1825 wurde ein Bohrloch von 3½ Zoll weit und 14½ Fuß tief mit 18 Pfund Pulver, die 8 Fuß des Loches fuͤllten, geladen, die uͤbrigen 6½ Fuß aber mit grobkoͤrnigem Sande gefuͤllt.","norm":"Am 24. Sept. 1825 wurde ein Bohrloch von 31/2 Zoll weit und 141/2 Fuß tief mit 18 Pfund Pulver, die 8 Fuß des Loches füllten, geladen, die übrigen 61/2 Fuß aber mit grobkörnigem Sande 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+{"basename":"brandes_naturlehre01_1830","par_idx":620,"date":1830,"orig":"Die Exploſion hatte einen ſehr großen Felsblock abgetrennt, aber der Spalt war nur 2 Linien weit, und man wuͤnſchte daher, das Felsſtuͤck weiter zu entfernen.","norm":"Die Explosion hatte einen sehr großen Felsblock abgetrennt, aber der Spalt war nur 2 Linien weit, und man wünschte daher, das Felsstück weiter zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":621,"date":1830,"orig":"Zu dieſem Zwecke fuͤllte man das Bohrloch noch einmal mit 15 Pfund Pulver, die jetzt nur bis 2 Fuß hoch reichten, der ganze Spalt aber wurde mit lockerm Sande gefuͤllt, und nach abermaliger Entzuͤndung war der ungeheure Felsblock von 14½ Fuß hoch, 16 Fuß breit, 21 Fuß lang, etwa 720000 Pfunde ſchwer, 4 Fuß vom Felſen abgeruͤckt .","norm":"Zu diesem Zwecke füllte man das Bohrloch noch einmal mit 15 Pfund Pulver, die jetzt nur bis 2 Fuß hoch reichten, der ganze Spalt aber wurde mit lockerem Sande gefüllt, und nach abermaliger Entzündung war der ungeheure Felsblock von 141/2 Fuß hoch, 16 Fuß breit, 21 Fuß lang, etwa 720000 Pfunde schwer, 4 Fuß vom Felsen 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XXII. 113.","orig_tok":["Ann.","XXII.","113."],"norm_tok":["Ann",".","XXII",".","113."],"orig_spans":[[0,4],[5,10],[11,15]],"norm_spans":[[0,3],[3,4],[5,9],[9,10],[11,15]],"alignment":[[0,0],[0,1],[1,2],[1,3],[2,4]],"lang_fastText":"en","lang_py3langid":"en","lang_cld3":"gd","orig_lang_de":0,"norm_lmscore":5.355500221252441} +{"basename":"brandes_naturlehre01_1830","par_idx":625,"date":1830,"orig":"Auch die neuerlich erſt von Barnes bemerkte Erſcheinung, daß eine Scheibe aus weichem Eiſen, ſehr ſchnell gedreht, in Glas und Stahl einſchneidet, gehoͤrt hieher.","norm":"Auch die neuerlich erst von Barnes bemerkte Erscheinung, dass eine Scheibe aus weichem Eisen, sehr schnell gedreht, in Glas und Stahl einschneidet, gehört 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Faden nach derjenigen Richtung, welche mit der Richtung der Schwere uͤbereinſtimmt, ausdehnt; der frei fallende Koͤrper folgt eben dieſer Richtung; und da dieſe uͤberall gegen die Oberflaͤche der Erde ſenkrecht iſt, ſo ſagen wir, weil die Kugelgeſtalt der Erde durch Abmeſſungen bekannt iſt, die Schwere treibe alle Koͤrper gegen den Mittelpunct der Erde hin, die ganze Erde beſitze eine anziehende Kraft, durch welche ſie alles zu ſich hin zu bewegen ſtrebe.","norm":"Der an einem Faden aufgehängte Körper zeigt uns diese Richtung, indem er den Faden nach derjenigen Richtung, welche mit der Richtung der Schwere übereinstimmt, ausdehnt; der frei fallende Körper folgt eben dieser Richtung; und da diese überall gegen die Oberfläche der Erde senkrecht ist, so sagen wir, weil die Kugelgestalt der Erde durch Abmessungen bekannt ist, die Schwere treibe alle Körper gegen den Mittelpunkt der Erde hin, die ganze Erde besitze eine anziehende Kraft, durch welche sie alles zu sich hinzubewegen 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+{"basename":"brandes_naturlehre01_1830","par_idx":660,"date":1830,"orig":"Ohne jetzt ſchon beſtimmen zu wollen, wie groß die beiden in ſolchen ſchiefen Richtungen ziehenden Kraͤfte ſein muͤſſen, duͤrfen wir wenigſtens erſtlich behaupten, daß ſie zuſammen mehr betragen muͤſſen, als das Gewicht C, grade aufwaͤrts gezogen, fordern wuͤrde, indem ſie zum Theil einander entgegen wirken und ſich ſofern theilweiſe aufheben, und wir koͤnnen zweitens behaupten, daß das Gleichgewicht beſteht, wenn die ſeitwaͤrts oder horizontal gerichteten Wirkungen beider Kraͤfte ſich genau aufheben, die aufwaͤrts oder vertical gerichteten Kraͤfte dagegen dem zu tragenden Gewichte gleich ſind.","norm":"Ohne jetzt schon bestimmen zu wollen, wie groß die beiden in solchen schiefen Richtungen ziehenden Kräfte sein müssen, dürfen wir wenigstens erstlich behaupten, dass sie zusammen mehr betragen müssen, als das Gewicht C, gerade aufwärts gezogen, fordern würde, indem sie zum Teil einander entgegenwirken und sich so fern teilweise aufheben, und wir können zweitens behaupten, dass das Gleichgewicht besteht, wenn die seitwärts oder horizontal gerichteten Wirkungen beider Kräfte sich genau aufheben, die aufwärts oder vertikal gerichteten Kräfte dagegen dem zu tragenden Gewichte gleich 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gegenüberhängende Gewichte A, B, gleich sein müssen, um sich im Gleichgewichte zu erhalten, und dass auch Fig. 3. der durch das Gewicht B nach der Richtung LN bewirkte Zug ebenso vielen Pfunden als B selbst gleich 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+{"basename":"brandes_naturlehre01_1830","par_idx":663,"date":1830,"orig":"Sollen dieſe beiden Kraͤfte ſo gegen einander abgemeſſen ſein, daß der angegriffene Punkt L zu keiner horizontalen Bewegung angetrieben werde, ſo darf B nicht ſo ſtark als A ziehen, weil aus 10 Pfunden nach LN ziehend, mehr horizontaler Zug als aus 10 Pfunden nach LM ziehend, hervorgeht.","norm":"Sollen diese beiden Kräfte so gegen einander abgemessen sein, dass der angegriffene Punkt L zu keiner horizontalen Bewegung angetrieben werde, so darf B nicht so stark als A ziehen, weil aus 10 Pfunden nach LN ziehend, mehr horizontaler Zug als aus 10 Pfunden nach LM ziehend, 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+{"basename":"brandes_naturlehre01_1830","par_idx":664,"date":1830,"orig":"Wie groß die horizontale und wie groß die verticale Kraft iſt, die bei gegebener Richtung aus einer beſtimmten Kraft entſpringt, das laͤßt ſich nach folgender einfachen Regel finden.","norm":"Wie groß die horizontale und wie groß die vertikale Kraft ist, die bei gegebener Richtung aus einer bestimmten Kraft entspringt, das lässt sich nach folgender einfachen Regel 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+{"basename":"brandes_naturlehre01_1830","par_idx":665,"date":1830,"orig":"Wenn nach der Richtung LM (Fig. 4.) eine Kraft zum Beiſpiel von 13 Pfund wirkt, ſo zeichnet man auf der Richtungslinie LM 13 gleiche, uͤbrigens willkuͤrliche Theile von L bis P auf, zieht durch L eine verticale, durch P eine horizontale Linie, und mißt beide mit dem Cirkel in eben ſolchen Theilen ab; unſre Figur zeigt, daß die horizontale Linie Pr4 Theile, die verticale Lr ungefehr 12⅓ enthaͤlt, und das belehrt uns, daß L mit 4 Pfund Kraft horizontal fortgezogen, zugleich aber mit 12⅓ Pfund Kraft hinauf getrieben wird.","norm":"Wenn nach der Richtung LM (Fig. 4.) eine Kraft zum Beispiel von 13 Pfund wirkt, so zeichnet man auf der Richtungslinie LM 13 gleiche, übrigens willkürliche Teile von L bis P auf, zieht durch L eine vertikale, durch P eine horizontale Linie, und misst beide mit dem Zirkel in eben solchen Teilen ab; unsere Figur zeigt, dass die horizontale Linie Pr4 Teile, die vertikale Lr ungefähr 12 1/3 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+{"basename":"brandes_naturlehre01_1830","par_idx":667,"date":1830,"orig":"Die beiden Kraͤfte A = 13, B = 5, uͤben, wie die Abmeſſung der Figur zeigt, hinaufwaͤrts eine Kraft = 12 ⅓ und = 3, alſo zuſammen = 15 ⅓ Pfund aus, und wenn das nach C herabwaͤrts ziehende Gewicht ſo groß iſt, ſo findet das Gleichgewicht ſtatt.","norm":"Die beiden Kräfte A = 13, B = 5, üben, wie die Abmessung der Figur zeigt, hinaufwärts eine Kraft = 12 ⅓ und = 3, also zusammen = 15 1/3 Pfund aus, und wenn das nach C herabwärts ziehende Gewicht so groß ist, so findet das Gleichgewicht 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+{"basename":"brandes_naturlehre01_1830","par_idx":669,"date":1830,"orig":"Braͤchten die Kraͤfte von 13 Pfund und 5 Pfund eine Bewegung hervor, ſo waͤre dieſe gewiß in genauem Verhaͤltniß der Kraͤfte ſelbſt, oder die eine wuͤrde fuͤr ſich allein den Punct L nach P, die andere wuͤrde ihn in gleicher Zeit fuͤr ſich allein nach Q bringen; dadurch wuͤrde eine gleich große Entfernung von der Verticallinie LT bewirkt, und folglich hebt ſich, beim Zugleichwirken beider, dieſe horizontale Wirkung gaͤnzlich auf; daß aber die verticale Wirkung beider, die durch 12 ⅓ und 3 angegeben wurde, grade hinreicht, um 15⅓ Pfund zu tragen, iſt nun leicht zu uͤberſehen.","norm":"Brächten die Kräfte von 13 Pfund und 5 Pfund eine Bewegung hervor, so wäre diese gewiss in genauem Verhältnis der Kräfte selbst, oder die eine würde für sich allein den Punkt L nach P, die andere würde ihn in gleicher Zeit für sich allein nach Q bringen; dadurch würde eine gleich große Entfernung von der Vertikallinie LT bewirkt, und folglich hebt sich, beim Zugleichwirken beider, diese horizontale Wirkung gänzlich auf; dass aber die vertikale Wirkung beider, die durch 12 1/3 und 3 angegeben wurde, gerade hinreicht, um 15 1/3 Pfund zu tragen, ist nun leicht zu 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erſten und 2 ¾ aus der andern, ſo daß hier die Kraͤfte 10 und 7 ½ nur eine Laſt von 9 ¾ Pfunden tragen, weil ſie ſo bedeutend von der Verticallinie abweichen .","norm":"Die Richtungen sind so gewählt, dass die Horizontalkraft nach beiden Seiten 7 beträgt, die Vertikalkräfte sind 7 aus der ersten und 2 ¾ aus der anderen, so dass hier die Kräfte 10 und 7 ½ nur eine Last von 9 ¾ Pfunden tragen, weil sie so bedeutend von der Vertikallinie 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+{"basename":"brandes_naturlehre01_1830","par_idx":680,"date":1830,"orig":"Wenn (Fig. 15.) der Punct A von drei Kraͤften nach den Richtungen AB, AC, AD, gezogen wird, und es iſt die erſte = 10, die zweite = 5, die dritte = 7 Pfund, ſo nehmen wir zuerſt Ab = 10, Ac = 5 gleichen Theilen und vollenden das Parallelogramm Abec; die Abmeſſung von Ae zeigt uns, daß die beiden Kraͤfte von 10 und von 5 Pfund eine Wirkung von 14 Pfund hervorbringen, indem Ae ſich = 14 findet.","norm":"Wenn (Fig. 15.) der Punkt A von drei Kräften nach den Richtungen AB, AC, AD, gezogen wird, und es ist die erste = 10, die zweite = 5, die dritte = 7 Pfund, so nehmen wir zuerst Ab = 10, Ac = 5 gleichen Teilen und vollenden das Parallelogramm Abec; die Abmessung von Ae zeigt uns, dass die beiden Kräfte von 10 und von 5 Pfund eine Wirkung von 14 Pfund hervorbringen, indem Ae sich = 14 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+{"basename":"brandes_naturlehre01_1830","par_idx":682,"date":1830,"orig":"Das Parallelogramm Aefd naͤmlich, worin Ad = 7, Ae = 14 iſt, fuͤhrt abermals durch Abmeſſung der Ecklinie Af zur Kenntniß der Groͤße und Richtung der Mittelkraft; die Figur zeigt, daß Af 11 Theile enthaͤlt, und daß alſo die drei Kraͤfte von 10,5 und 7 Pfund doch nur eine Wirkung von 11 Pfund nach der Richtung Af hervorbringen, weil ſie ſich zum Theil, als einander entgegen wirkend, zerſtoͤren.","norm":"Das Parallelogramm Aefd nämlich, worin Ad = 7, Ae = 14 ist, führt abermals durch Abmessung der Ecklinie Af zur Kenntnis der Größe und Richtung der Mittelkraft; die Figur zeigt, dass Af 11 Teile enthält, und dass also die drei Kräfte von 10,5 und 7 Pfund doch nur eine Wirkung von 11 Pfund nach der Richtung Af hervorbringen, weil sie sich zum Teil, als einander entgegenwirkend, 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+{"basename":"brandes_naturlehre01_1830","par_idx":691,"date":1830,"orig":"Wenn bei unguͤnſtigem Winde der Schiffer ſeine Segel ſo befeſtigt, daß ſie eine ſchiefe Richtung, wie AB gegen die Axe CD (Fig. 9.) des Schiffes haben, ſo wirkt der Wind durch Zerlegung der von ihm angewandten Kraft vortheilhaft auf das Forttreiben des Schiffes.","norm":"Wenn bei ungünstigem Winde der Schiffer seine Segel so befestigt, dass sie eine schiefe Richtung, wie AB gegen die Achse CD (Fig. 9.) des Schiffes haben, so wirkt der Wind durch Zerlegung der von ihm angewandten Kraft vorteilhaft auf das Forttreiben des 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Koͤrper ausmacht, am einen Ende beſchwert, und das Seil, woran er gehalten wird, befindet ſich am andern Ende; der Drache nimmt dadurch eine Stellung (Fig. 10.) ungefehr wie AB an, waͤhrend das Seil ihn nach der Richtung AC feſthaͤlt.","norm":"Bekanntlich ist die breite Fläche, welche seinen Körper ausmacht, am einen Ende beschwert, und das Seil, woran er gehalten wird, befindet sich am anderen Ende; der Drache nimmt dadurch eine Stellung (Fig. 10.) ungefähr wie AB an, während das Seil ihn nach der Richtung AC 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+{"basename":"brandes_naturlehre01_1830","par_idx":711,"date":1830,"orig":"Soll die Laſt auf die Hoͤhe BC gehoben werden, (Fig. 13.) ſo kann dies unmittelbar geſchehen, ſo daß auch die hebende Kraft keinen laͤngeren Weg als BC durchlaͤuft, aber dann muß auch die Kraft voͤllig der ganzen Laſt gleich ſein; dagegen kann man auf der ſchiefen Ebne AB mit ein Viertel der Kraft ausreichen, muß ſich aber dann gefallen laſſen, die Laſt durch den vierfachen Weg fortzuziehen, ehe ſie bis zu derſelben Hoͤhe BC hinauf gelangt.","norm":"Soll die Last auf die Höhe BC gehoben werden, (Fig. 13.) so kann dies unmittelbar geschehen, so dass auch die hebende Kraft keinen längeren Weg als BC durchläuft, aber dann muss auch die Kraft völlig der ganzen Last gleich sein; dagegen kann man auf der schiefen Ebene AB mit ein Viertel der Kraft ausreichen, muss sich aber dann gefallen lassen, die Last durch den vierfachen Weg fortzuziehen, ehe sie bis zu derselben Höhe BC hinauf 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+{"basename":"brandes_naturlehre01_1830","par_idx":716,"date":1830,"orig":"— Das Meſſer alſo und jeder Keil erlaubt uns mit deſto geringerer Kraft zu wirken, je ſchaͤrfer er iſt, aber um deſto weiter muͤſſen wir auch hineindringen, um eine gewiſſe Trennung der Holztheile von einander zu erhalten.","norm":"— Das Messer also und jeder Keil erlaubt uns mit desto geringerer Kraft zu wirken, je schärfer er ist, aber um desto weiter müssen wir auch hineindringen, um eine gewisse Trennung der Holzteile voneinander zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":727,"date":1830,"orig":"Soll aber dieſe Laſt hinauf gezogen werden, ſo widerſteht zugleich die Reibung, die wenn ſie ein Drittel des Druckes betruͤge, hier uͤber 300 Pfund waͤre, und es beduͤrfte daher freilich gar keiner Kraft, um die Laſt auf der Ebne ruhend zu erhalten, indem die Reibung hiezu voͤllig ausreicht, aber um ſie hinaufzuziehen, waͤren uͤber 500 Pfund Kraft erforderlich.","norm":"Soll aber diese Last hinauf gezogen werden, so widersteht zugleich die Reibung, die wenn sie ein Drittel des Druckes betrüge, hier über 300 Pfund wäre, und es bedürfte daher freilich gar keiner Kraft, um die Last auf der Ebene ruhend zu erhalten, indem die Reibung hierzu völlig ausreicht, aber um sie hinaufzuziehen, wären über 500 Pfund Kraft erforderlich.","orig_tok":["Soll","aber","dieſe","Laſt","hinauf","gezogen","werden",",","ſo","widerſteht","zugleich","die","Reibung",",","die","wenn","ſie","ein","Drittel","des","Druckes","betruͤge",",","hier","uͤber","300","Pfund","waͤre",",","und","es","beduͤrfte","daher","freilich","gar","keiner","Kraft",",","um","die","Laſt","auf","der","Ebne","ruhend","zu","erhalten",",","indem","die","Reibung","hiezu","voͤllig","ausreicht",",","aber","um","ſie","hinaufzuziehen",",","waͤren","uͤber","500","Pfund","Kraft","erforderlich","."],"norm_tok":["Soll","aber","diese","Last","hinauf","gezogen","werden",",","so","widersteht","zugleich","die","Reibung",",","die","wenn","sie","ein","Drittel","des","Druckes","betrüge",",","hier","über","300","Pfund","wäre",",","und","es","bedürfte","daher","freilich","gar","keiner","Kraft",",","um","die","Last","auf","der","Ebene","ruhend","zu","erhalten",",","indem","die","Reibung","hierzu","völlig","ausreicht",",","aber","um","sie","hinaufzuziehen",",","wären","über","500","Pfund","Kraft","erforderlich","."],"orig_spans":[[0,4],[5,9],[10,15],[16,20],[21,27],[28,35],[36,42],[42,43],[44,46],[47,57],[58,66],[67,70],[71,78],[78,79],[80,83],[84,88],[89,92],[93,96],[97,104],[105,108],[109,116],[117,125],[125,126],[127,131],[132,137],[138,141],[142,147],[148,153],[153,154],[155,158],[159,161],[162,171],[172,177],[178,186],[187,190],[191,197],[198,203],[203,204],[205,207],[208,211],[212,216],[217,220],[221,224],[225,229],[230,236],[237,239],[240,248],[248,249],[250,255],[256,259],[260,267],[268,273],[274,281],[282,291],[291,292],[293,297],[298,300],[301,304],[305,319],[319,320],[321,327],[328,333],[334,337],[338,343],[344,349],[350,362],[362,363]],"norm_spans":[[0,4],[5,9],[10,15],[16,20],[21,27],[28,35],[36,42],[42,43],[44,46],[47,57],[58,66],[67,70],[71,78],[78,79],[80,83],[84,88],[89,92],[93,96],[97,104],[105,108],[109,116],[117,124],[124,125],[126,130],[131,135],[136,139],[140,145],[146,150],[150,151],[152,155],[156,158],[159,167],[168,173],[174,182],[183,186],[187,193],[194,199],[199,200],[201,203],[204,207],[208,212],[213,216],[217,220],[221,226],[227,233],[234,236],[237,245],[245,246],[247,252],[253,256],[257,264],[265,271],[272,278],[279,288],[288,289],[290,294],[295,297],[298,301],[302,316],[316,317],[318,323],[324,328],[329,332],[333,338],[339,344],[345,357],[357,358]],"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":3.9784998893737793} +{"basename":"brandes_naturlehre01_1830","par_idx":728,"date":1830,"orig":"Auf dieſe Weiſe tritt uns ſehr oft die Reibung hindernd entgegen, und noͤthiget uns weit groͤßere Kraͤfte aufzuwenden als ſonſt erforderlich waͤren; und wir ſuchen daher ſie in vielen Faͤllen zu vermindern.","norm":"Auf diese Weise tritt uns sehr oft die Reibung hindernd entgegen, und nötiget uns weit größere Kräfte aufzuwenden als sonst erforderlich wären; und wir suchen daher sie in vielen Fällen zu vermindern.","orig_tok":["Auf","dieſe","Weiſe","tritt","uns","ſehr","oft","die","Reibung","hindernd","entgegen",",","und","noͤthiget","uns","weit","groͤßere","Kraͤfte","aufzuwenden","als","ſonſt","erforderlich","waͤren",";","und","wir","ſuchen","daher","ſie","in","vielen","Faͤllen","zu","vermindern","."],"norm_tok":["Auf","diese","Weise","tritt","uns","sehr","oft","die","Reibung","hindernd","entgegen",",","und","nötiget","uns","weit","größere","Kräfte","aufzuwenden","als","sonst","erforderlich","wären",";","und","wir","suchen","daher","sie","in","vielen","Fällen","zu","vermindern","."],"orig_spans":[[0,3],[4,9],[10,15],[16,21],[22,25],[26,30],[31,34],[35,38],[39,46],[47,55],[56,64],[64,65],[66,69],[70,79],[80,83],[84,88],[89,97],[98,105],[106,117],[118,121],[122,127],[128,140],[141,147],[147,148],[149,152],[153,156],[157,163],[164,169],[170,173],[174,176],[177,183],[184,191],[192,194],[195,205],[205,206]],"norm_spans":[[0,3],[4,9],[10,15],[16,21],[22,25],[26,30],[31,34],[35,38],[39,46],[47,55],[56,64],[64,65],[66,69],[70,77],[78,81],[82,86],[87,94],[95,101],[102,113],[114,117],[118,123],[124,136],[137,142],[142,143],[144,147],[148,151],[152,158],[159,164],[165,168],[169,171],[172,178],[179,185],[186,188],[189,199],[199,200]],"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":4.643199920654297} +{"basename":"brandes_naturlehre01_1830","par_idx":729,"date":1830,"orig":"Auf dieſer Verminderung der Reibung beruht zum Beiſpiel ein großer Theil des Vortheils, den die Eiſenbahnen gewaͤhren, auf welchen 1 Pferd leiſtet, was ſonſt 8 bis 10 Pferde leiſteten, ja wo bei recht glatten Eiſenbahnen ein Pferd 400 Centner ſoll ziehen koͤnnen . Aber ſo ſehr die Reibung uns oft hindert, ſo iſt ſie doch keinesweges immer eine nachtheilig wirkende Kraft.","norm":"Auf dieser Verminderung der Reibung beruht zum Beispiel ein großer Teil des Vorteils, den die Eisenbahnen gewähren, auf welchen 1 Pferd leistet, was sonst 8 bis 10 Pferde leisteten, ja wo bei recht glatten Eisenbahnen ein Pferd 400 Zentner soll ziehen können . Aber so sehr die Reibung uns oft hindert, so ist sie doch keineswegs immer eine nachteilig wirkende Kraft.","orig_tok":["Auf","dieſer","Verminderung","der","Reibung","beruht","zum","Beiſpiel","ein","großer","Theil","des","Vortheils",",","den","die","Eiſenbahnen","gewaͤhren",",","auf","welchen","1","Pferd","leiſtet",",","was","ſonſt","8","bis","10","Pferde","leiſteten",",","ja","wo","bei","recht","glatten","Eiſenbahnen","ein","Pferd","400","Centner","ſoll","ziehen","koͤnnen",".","Aber","ſo","ſehr","die","Reibung","uns","oft","hindert",",","ſo","iſt","ſie","doch","keinesweges","immer","eine","nachtheilig","wirkende","Kraft","."],"norm_tok":["Auf","dieser","Verminderung","der","Reibung","beruht","zum","Beispiel","ein","großer","Teil","des","Vorteils",",","den","die","Eisenbahnen","gewähren",",","auf","welchen","1","Pferd","leistet",",","was","sonst","8","bis","10","Pferde","leisteten",",","ja","wo","bei","recht","glatten","Eisenbahnen","ein","Pferd","400","Zentner","soll","ziehen","können",".","Aber","so","sehr","die","Reibung","uns","oft","hindert",",","so","ist","sie","doch","keineswegs","immer","eine","nachteilig","wirkende","Kraft","."],"orig_spans":[[0,3],[4,10],[11,23],[24,27],[28,35],[36,42],[43,46],[47,55],[56,59],[60,66],[67,72],[73,76],[77,86],[86,87],[88,91],[92,95],[96,107],[108,117],[117,118],[119,122],[123,130],[131,132],[133,138],[139,146],[146,147],[148,151],[152,157],[158,159],[160,163],[164,166],[167,173],[174,183],[183,184],[185,187],[188,190],[191,194],[195,200],[201,208],[209,220],[221,224],[225,230],[231,234],[235,242],[243,247],[248,254],[255,262],[263,264],[265,269],[270,272],[273,277],[278,281],[282,289],[290,293],[294,297],[298,305],[305,306],[307,309],[310,313],[314,317],[318,322],[323,334],[335,340],[341,345],[346,357],[358,366],[367,372],[372,373]],"norm_spans":[[0,3],[4,10],[11,23],[24,27],[28,35],[36,42],[43,46],[47,55],[56,59],[60,66],[67,71],[72,75],[76,84],[84,85],[86,89],[90,93],[94,105],[106,114],[114,115],[116,119],[120,127],[128,129],[130,135],[136,143],[143,144],[145,148],[149,154],[155,156],[157,160],[161,163],[164,170],[171,180],[180,181],[182,184],[185,187],[188,191],[192,197],[198,205],[206,217],[218,221],[222,227],[228,231],[232,239],[240,244],[245,251],[252,258],[259,260],[261,265],[266,268],[269,273],[274,277],[278,285],[286,289],[290,293],[294,301],[301,302],[303,305],[306,309],[310,313],[314,318],[319,329],[330,335],[336,340],[341,351],[352,360],[361,366],[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],[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":4.641300201416016} +{"basename":"brandes_naturlehre01_1830","par_idx":730,"date":1830,"orig":"Wie es uns beim Hinaufgehen auf den ſanfteſten Abhang ergehen wuͤrde, wenn es keine Reibung gaͤbe, davon uͤberzeugen wir uns, wenn wir beim Glatt-Eiſe eine nur etwas geneigte Straße gehen wollen; wir finden dann noͤthig, durch wollene Ueberſchuhe oder dergleichen, die beinahe ganz fehlende Reibung zu vermehren.","norm":"Wie es uns beim Hinaufgehen auf den sanftesten Abhang ergehen würde, wenn es keine Reibung gäbe, davon überzeugen wir uns, wenn wir beim Glatt-Eise eine nur etwas geneigte Straße gehen wollen; wir finden dann nötig, durch wollene Überschuhe oder dergleichen, die beinahe ganz fehlende Reibung zu vermehren.","orig_tok":["Wie","es","uns","beim","Hinaufgehen","auf","den","ſanfteſten","Abhang","ergehen","wuͤrde",",","wenn","es","keine","Reibung","gaͤbe",",","davon","uͤberzeugen","wir","uns",",","wenn","wir","beim","Glatt-Eiſe","eine","nur","etwas","geneigte","Straße","gehen","wollen",";","wir","finden","dann","noͤthig",",","durch","wollene","Ueberſchuhe","oder","dergleichen",",","die","beinahe","ganz","fehlende","Reibung","zu","vermehren","."],"norm_tok":["Wie","es","uns","beim","Hinaufgehen","auf","den","sanftesten","Abhang","ergehen","würde",",","wenn","es","keine","Reibung","gäbe",",","davon","überzeugen","wir","uns",",","wenn","wir","beim","Glatt-Eise","eine","nur","etwas","geneigte","Straße","gehen","wollen",";","wir","finden","dann","nötig",",","durch","wollene","Überschuhe","oder","dergleichen",",","die","beinahe","ganz","fehlende","Reibung","zu","vermehren","."],"orig_spans":[[0,3],[4,6],[7,10],[11,15],[16,27],[28,31],[32,35],[36,46],[47,53],[54,61],[62,68],[68,69],[70,74],[75,77],[78,83],[84,91],[92,97],[97,98],[99,104],[105,116],[117,120],[121,124],[124,125],[126,130],[131,134],[135,139],[140,150],[151,155],[156,159],[160,165],[166,174],[175,181],[182,187],[188,194],[194,195],[196,199],[200,206],[207,211],[212,219],[219,220],[221,226],[227,234],[235,246],[247,251],[252,263],[263,264],[265,268],[269,276],[277,281],[282,290],[291,298],[299,301],[302,311],[311,312]],"norm_spans":[[0,3],[4,6],[7,10],[11,15],[16,27],[28,31],[32,35],[36,46],[47,53],[54,61],[62,67],[67,68],[69,73],[74,76],[77,82],[83,90],[91,95],[95,96],[97,102],[103,113],[114,117],[118,121],[121,122],[123,127],[128,131],[132,136],[137,147],[148,152],[153,156],[157,162],[163,171],[172,178],[179,184],[185,191],[191,192],[193,196],[197,203],[204,208],[209,214],[214,215],[216,221],[222,229],[230,240],[241,245],[246,257],[257,258],[259,262],[263,270],[271,275],[276,284],[285,292],[293,295],[296,305],[305,306]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.478099822998047} +{"basename":"brandes_naturlehre01_1830","par_idx":731,"date":1830,"orig":"Ebenſo finden wir im Fahren, da die Reibung des Rades beim Waͤlzen nur geringe iſt, zuweilen die Nothwendigkeit, durch Feſtbinden des Rades die waͤlzende Reibung in eine ſchleifende zu verwandeln oder durch den angelegten Hemmſchuh die Reibung noch zu vermehren, damit nicht der Wagen in zu ſchnelle Bewegung gerathe.","norm":"Ebenso finden wir im Fahren, da die Reibung des Rades beim Wälzen nur geringe ist, zuweilen die Notwendigkeit, durch Festbinden des Rades die wälzende Reibung in eine schleifende zu verwandeln oder durch den angelegten Hemmschuh die Reibung noch zu vermehren, damit nicht der Wagen in zu schnelle Bewegung gerate.","orig_tok":["Ebenſo","finden","wir","im","Fahren",",","da","die","Reibung","des","Rades","beim","Waͤlzen","nur","geringe","iſt",",","zuweilen","die","Nothwendigkeit",",","durch","Feſtbinden","des","Rades","die","waͤlzende","Reibung","in","eine","ſchleifende","zu","verwandeln","oder","durch","den","angelegten","Hemmſchuh","die","Reibung","noch","zu","vermehren",",","damit","nicht","der","Wagen","in","zu","ſchnelle","Bewegung","gerathe","."],"norm_tok":["Ebenso","finden","wir","im","Fahren",",","da","die","Reibung","des","Rades","beim","Wälzen","nur","geringe","ist",",","zuweilen","die","Notwendigkeit",",","durch","Festbinden","des","Rades","die","wälzende","Reibung","in","eine","schleifende","zu","verwandeln","oder","durch","den","angelegten","Hemmschuh","die","Reibung","noch","zu","vermehren",",","damit","nicht","der","Wagen","in","zu","schnelle","Bewegung","gerate","."],"orig_spans":[[0,6],[7,13],[14,17],[18,20],[21,27],[27,28],[29,31],[32,35],[36,43],[44,47],[48,53],[54,58],[59,66],[67,70],[71,78],[79,82],[82,83],[84,92],[93,96],[97,111],[111,112],[113,118],[119,129],[130,133],[134,139],[140,143],[144,153],[154,161],[162,164],[165,169],[170,181],[182,184],[185,195],[196,200],[201,206],[207,210],[211,221],[222,231],[232,235],[236,243],[244,248],[249,251],[252,261],[261,262],[263,268],[269,274],[275,278],[279,284],[285,287],[288,290],[291,299],[300,308],[309,316],[316,317]],"norm_spans":[[0,6],[7,13],[14,17],[18,20],[21,27],[27,28],[29,31],[32,35],[36,43],[44,47],[48,53],[54,58],[59,65],[66,69],[70,77],[78,81],[81,82],[83,91],[92,95],[96,109],[109,110],[111,116],[117,127],[128,131],[132,137],[138,141],[142,150],[151,158],[159,161],[162,166],[167,178],[179,181],[182,192],[193,197],[198,203],[204,207],[208,218],[219,228],[229,232],[233,240],[241,245],[246,248],[249,258],[258,259],[260,265],[266,271],[272,275],[276,281],[282,284],[285,287],[288,296],[297,305],[306,312],[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],[50,50],[51,51],[52,52],[53,53]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.954200029373169} +{"basename":"brandes_naturlehre01_1830","par_idx":732,"date":1830,"orig":"Der Reibung verdanken wir es, daß nicht alle an einem Abhange liegenden Steine in das Thal hinabgleiten, daß nicht beim geringſten Winde alle auf der Straße oder auf dem Felde unbefeſtigt ſtehenden Dinge fortgefuͤhrt werden; ja wir ſelbſt wuͤrden auf dem genau horizontalen Boden der Gewalt des Windes nicht widerſtehen koͤnnen, wenn keine Reibung waͤre, ſo wie es uns ja ſchon auf glattem Eiſe, wo doch immer noch Friction vorhanden iſt, ſchwer wird, bei ſtaͤrkerem Winde grade fortzugehen.","norm":"Der Reibung verdanken wir es, dass nicht alle an einem Abhange liegenden Steine in das Tal hinabgleiten, dass nicht beim geringsten Winde alle auf der Straße oder auf dem Felde unbefestigt stehenden Dinge fortgeführt werden; ja wir selbst würden auf dem genau horizontalen Boden der Gewalt des Windes nicht widerstehen können, wenn keine Reibung wäre, so wie es uns ja schon auf glattem Eise, wo doch immer noch Friktion vorhanden ist, schwer wird, bei stärkerem Winde gerade 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ich Sie, meine h. H., neulich unterhielt, kamen alle darauf hinaus, daß zwei oder mehr Kraͤfte in verſchiedenen Richtungen wirkend einer ihrer mittleren Richtung gegenuͤberſtehenden Kraft entgegen wirkten.","norm":"Die Fälle des Gleichgewichtes, mit welchen ich Sie, meine h. H., neulich unterhielt, kamen alle darauf hinaus, dass zwei oder mehr Kräfte in verschiedenen Richtungen wirkend einer ihrer mittleren Richtung gegenüberstehenden Kraft 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+{"basename":"brandes_naturlehre01_1830","par_idx":744,"date":1830,"orig":"Aber noch eine zweite Claſſe von Faͤllen, wo Gleichgewicht ſtatt findet, bietet ſich unſerer Betrachtung dar, naͤmlich das Gleichgewicht der Kraͤfte am Hebel.","norm":"Aber noch eine zweite Klasse von Fällen, wo Gleichgewicht stattfindet, bietet sich unserer Betrachtung dar, nämlich das Gleichgewicht der Kräfte am 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+{"basename":"brandes_naturlehre01_1830","par_idx":745,"date":1830,"orig":"Unſre gewoͤhnliche Waage giebt uns von dem Entgegenwirken der beiden Kraͤfte am Hebel das einfachſte Beiſpiel, indem die eine Waageſchaale ſteigen muß, wenn die andere ſinkt, und das Gegengewicht in jener das Sinken dieſer hindert.","norm":"Unsere gewöhnliche Waage gibt uns von dem Entgegenwirken der beiden Kräfte am Hebel das einfachste Beispiel, indem die eine Waageschale steigen muss, wenn die andere sinkt, und das Gegengewicht in jener das Sinken dieser 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+{"basename":"brandes_naturlehre01_1830","par_idx":747,"date":1830,"orig":"Unſre gewoͤhnliche Waage iſt ein gleicharmiger Hebel und wegen der gleichen Entfernung vom Unterſtuͤtzungspuncte muͤſſen es hier gleiche Gewichte ſein, die einander das Gleichgewicht halten.","norm":"Unsere gewöhnliche Waage ist ein gleicharmiger Hebel und wegen der gleichen Entfernung vom Unterstützungspunkte müssen es hier gleiche Gewichte sein, die einander das Gleichgewicht 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gewinnt, als man sich an größerem Aufwande von Geschwindigkeit einen Nachteil muss gefallen lassen, würden wir schließen, dass 1 Pfund in A drei Pfunden in B das Gleichgewicht hielte; jenes eine Pfund trägt eine dreimal so große Last, aber bei, entstehender Bewegung muss es sich dreimal so schnell, als diese größere Last, bewegen, und das ist es ja, was wir meinen, wenn wir die Regel festsetzen, dass der Gewinn an Kraft durch den Aufwand an Geschwindigkeit ausgeglichen 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17.) ein in C unterſtuͤtzter Winkelhebel, ſo wuͤrde eine auf den Arm BC ſenkrecht wirkende, in B angebrachte Kraft in eben dem Verhaͤltniſſe groͤßer als eine in A auf AC ſenkrecht wirkende Kraft ſein muͤſſen, als BC kleiner m Verhaͤltniß gegen AC iſt.","norm":"Es sei ACB (Fig. 17.) ein in C unterstützter Winkelhebel, so würde eine auf den Arm BC senkrecht wirkende, in B angebrachte Kraft in eben dem Verhältnisse größer als eine in A auf AC senkrecht wirkende Kraft sein müssen, als BC kleiner m Verhältnis gegen AC 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+{"basename":"brandes_naturlehre01_1830","par_idx":754,"date":1830,"orig":"Wirken dagegen in B und in A Kraͤfte nach den ſchiefen Richtungen BD und AH, ſo findet man die zum Gleichgewichte erforderliche Groͤße dieſer Kraͤfte durch folgende Ueberlegung.","norm":"Wirken dagegen in B und in A Kräfte nach den schiefen Richtungen BD und AH, so findet man die zum Gleichgewichte erforderliche Größe dieser Kräfte durch folgende 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+{"basename":"brandes_naturlehre01_1830","par_idx":755,"date":1830,"orig":"Wenn die ganze Ebne IABG eine feſte Ebne waͤre, die ſich um C drehen ließe, ſo waͤre es einerlei, ob ich den an ihrer Oberflaͤche hin laufenden Faden BD in B oder in G an der Ebne befeſtigt haͤtte, immer wuͤrde die Wirkung der Kraft D zur Drehung der Ebne um C dieſelbe ſein; und ebenſo koͤnnte ich den an der Ebne anliegenden Faden AH in A oder in I befeſtigt haben, immer wuͤrde die Kraft H gleich viel zur Drehung um C wirken.","norm":"Wenn die ganze Ebene IABG eine feste Ebene wäre, die sich um C drehen ließe, so wäre es einerlei, ob ich den an ihrer Oberfläche hin laufenden Faden BD in B oder in G an der Ebene befestigt hätte, immer würde die Wirkung der Kraft D zur Drehung der Ebene um C dieselbe sein; und ebenso könnte ich den an der Ebene anliegenden Faden AH in A oder in I befestigt haben, immer würde die Kraft H gleich viel zur Drehung um C 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+{"basename":"brandes_naturlehre01_1830","par_idx":756,"date":1830,"orig":"Dieſer Betrachtung gemaͤß waͤre es am angemeſſenſten, von C aus die Linie CG auf BD ſenkrecht, CI auf AH ſenkrecht zu ziehen, dann wirket gewiß die Kraft D ſo, als ob ſie auf CG ſenkrecht angebracht waͤre, und die Kraft H ſo, als ob ſie auf CI ſenkrecht angebracht waͤre, und D muß folglich zehnmal ſo groß, als H ſein, wenn CI zehnmal ſo groß als CG iſt.","norm":"Dieser Betrachtung gemäß wäre es am angemessensten, von C aus die Linie CG auf BD senkrecht, CI auf AH senkrecht zu ziehen, dann wirket gewiss die Kraft D so, als ob sie auf CG senkrecht angebracht wäre, und die Kraft H so, als ob sie auf CI senkrecht angebracht wäre, und D muss folglich zehnmal so groß, als H sein, wenn CI zehnmal so groß als CG 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+{"basename":"brandes_naturlehre01_1830","par_idx":769,"date":1830,"orig":"Wenn die um die Angeln A, B, (Fig. 20.) bewegliche Fallthuͤr oder horizontale Platte gehoben werden ſoll, ſo ergreifen wir ſie am liebſten bei C, moͤglichſt weit von der Drehungs-Axe, damit unſre Kraft deſto wirkſamer ſei.","norm":"Wenn die um die Angeln A, B, (Fig . 20.) bewegliche Falltür oder horizontale Platte gehoben werden soll, so ergreifen wir sie am liebsten bei C, möglichst weit von der Drehungsachse, damit unsere Kraft desto wirksamer 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+{"basename":"brandes_naturlehre01_1830","par_idx":778,"date":1830,"orig":"Bei dieſer Lage des Armes ſind es zwei Muskeln, der musculus biceps und der musculus brachieus, welche das Gewicht erhalten; dieſe Muskeln ziehen in einer ſehr ſchiefen Richtung, und wirken daher ſo wie (Fig. 23.) eine nach fe an der Rolle df ziehende Kraft, welche den Punct f nur um einen Zoll fortzubewegen braucht, waͤhrend der 20 mal ſo entfernte Punct D zwanzig Zoll durchlaͤuft.","norm":"Bei dieser Lage des Armes sind es zwei Muskeln, der musculus biceps und der musculus brachieus, welche das Gewicht erhalten; diese Muskeln ziehen in einer sehr schiefen Richtung, und wirken daher so wie (Fig. 23.) eine nach fe an der Rolle df ziehende Kraft, welche den Punkt f nur um einen Zoll fortzubewegen braucht, während der 20 Mal so entfernte Punkt D zwanzig Zoll 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+{"basename":"brandes_naturlehre01_1830","par_idx":779,"date":1830,"orig":"Soll alſo in D eine Kraft von 28 Pfund erhalten werden, ſo muß in f, da nach Borelli das Gewicht zwanzigmal ſo entfernt als der Muskel wirkte, eine zwanzigmal ſo große Kraft von 560 Pfunden wirken, und ſo groß rechnet Borelli die von beiden Muskeln gemeinſchaftlich ausgeuͤbte Kraft.","norm":"Soll also in D eine Kraft von 28 Pfund erhalten werden, so muss in f, da nach Borelli das Gewicht zwanzigmal so entfernt als der Muskel wirkte, eine zwanzigmal so große Kraft von 560 Pfunden wirken, und so groß rechnet Borelli die von beiden Muskeln gemeinschaftlich ausgeübte 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+{"basename":"brandes_naturlehre01_1830","par_idx":780,"date":1830,"orig":"Haͤlt man dagegen den Ober-Arm vertical herabwaͤrts, den Vorder-Arm horizontal, ſo daß die innere Seite der Hand aufwaͤrts gekehrt iſt, ſo kann man an den Fingerſpitzen 33 Pfund tragen, alſo etwa 35 Pfund, wenn man das Gewicht des Vorder-Arms mit rechnet, dies ruͤhrt daher weil die Entfernung AC (Fig. 24.) ungefaͤhr 16 mal ſo groß als AB iſt, und die Muskeln jetzt in etwas vortheilhafterer Lage, als vorhin, ziehen (Fig. 24.).","norm":"Hält man dagegen den Oberarm vertikal herabwärts, den Vorderarm horizontal, so dass die innere Seite der Hand aufwärts gekehrt ist, so kann man an den Fingerspitzen 33 Pfund tragen, also etwa 35 Pfund, wenn man das Gewicht des Vorderarms mit rechnet, dies rührt daher weil die Entfernung AC (Fig . 24.) ungefähr 16 Mal so groß als AB ist, und die Muskeln jetzt in etwas vorteilhafterer Lage, als vorhin, ziehen (Fig . 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+{"basename":"brandes_naturlehre01_1830","par_idx":781,"date":1830,"orig":"Borelli rechnet aus, wie viel jeder der beiden Muskeln einzeln zu tragen vermag, indem er bemerkt, daß bei ſtark zuruͤckgebeugtem Ober-Arme, wenn der (alsdann einen ſpitzen Winkel mit dem Ober-Arme bildende) Vorder-Arm horizontal gehalten wird, der musculus brachieus faſt gar nicht zu Erhaltung der Laſt, die man dann an den Fingern traͤgt, mitwirke; in dieſer Lage koͤnne man 25 Pfund tragen und die Wirkung des Muskels ſei nun ſo vortheilhaft, daß ſie nur 12 mal ſo groß, als die zu haltende Laſt, zu ſein brauche; dieſer Muskel allein beſitze alſo 300 Pfund Kraft.","norm":"Borelli rechnet aus, wie viel jeder der beiden Muskeln einzeln zu tragen vermag, indem er bemerkt, dass bei stark zurückgebeugtem Oberarme, wenn der (alsdann einen spitzen Winkel mit dem Oberarme bildende) Vorderarm horizontal gehalten wird, der musculus brachieus fast gar nicht zu Erhaltung der Last, die man dann an den Fingern trägt, mitwirke; in dieser Lage könne man 25 Pfund tragen und die Wirkung des Muskels sei nun so vorteilhaft, dass sie nur 12 Mal so groß, als die zu haltende Last, zu sein brauche; dieser Muskel allein besitze also 300 Pfund Kraft.","orig_tok":["Borelli","rechnet","aus",",","wie","viel","jeder","der","beiden","Muskeln","einzeln","zu","tragen","vermag",",","indem","er","bemerkt",",","daß","bei","ſtark","zuruͤckgebeugtem","Ober-Arme",",","wenn","der","(","alsdann","einen","ſpitzen","Winkel","mit","dem","Ober-Arme","bildende",")","Vorder-Arm","horizontal","gehalten","wird",",","der","musculus","brachieus","faſt","gar","nicht","zu","Erhaltung","der","Laſt",",","die","man","dann","an","den","Fingern","traͤgt",",","mitwirke",";","in","dieſer","Lage","koͤnne","man","25","Pfund","tragen","und","die","Wirkung","des","Muskels","ſei","nun","ſo","vortheilhaft",",","daß","ſie","nur","12","mal","ſo","groß",",","als","die","zu","haltende","Laſt",",","zu","ſein","brauche",";","dieſer","Muskel","allein","beſitze","alſo","300","Pfund","Kraft","."],"norm_tok":["Borelli","rechnet","aus",",","wie","viel","jeder","der","beiden","Muskeln","einzeln","zu","tragen","vermag",",","indem","er","bemerkt",",","dass","bei","stark","zurückgebeugtem","Oberarme",",","wenn","der","(","alsdann","einen","spitzen","Winkel","mit","dem","Oberarme","bildende",")","Vorderarm","horizontal","gehalten","wird",",","der","musculus","brachieus","fast","gar","nicht","zu","Erhaltung","der","Last",",","die","man","dann","an","den","Fingern","trägt",",","mitwirke",";","in","dieser","Lage","könne","man","25","Pfund","tragen","und","die","Wirkung","des","Muskels","sei","nun","so","vorteilhaft",",","dass","sie","nur","12","Mal","so","groß",",","als","die","zu","haltende","Last",",","zu","sein","brauche",";","dieser","Muskel","allein","besitze","also","300","Pfund","Kraft","."],"orig_spans":[[0,7],[8,15],[16,19],[19,20],[21,24],[25,29],[30,35],[36,39],[40,46],[47,54],[55,62],[63,65],[66,72],[73,79],[79,80],[81,86],[87,89],[90,97],[97,98],[99,102],[103,106],[107,112],[113,129],[130,139],[139,140],[141,145],[146,149],[150,151],[151,158],[159,164],[165,172],[173,179],[180,183],[184,187],[188,197],[198,206],[206,207],[208,218],[219,229],[230,238],[239,243],[243,244],[245,248],[249,257],[258,267],[268,272],[273,276],[277,282],[283,285],[286,295],[296,299],[300,304],[304,305],[306,309],[310,313],[314,318],[319,321],[322,325],[326,333],[334,340],[340,341],[342,350],[350,351],[352,354],[355,361],[362,366],[367,373],[374,377],[378,380],[381,386],[387,393],[394,397],[398,401],[402,409],[410,413],[414,421],[422,425],[426,429],[430,432],[433,445],[445,446],[447,450],[451,454],[455,458],[459,461],[462,465],[466,468],[469,473],[473,474],[475,478],[479,482],[483,485],[486,494],[495,499],[499,500],[501,503],[504,508],[509,516],[516,517],[518,524],[525,531],[532,538],[539,546],[547,551],[552,555],[556,561],[562,567],[567,568]],"norm_spans":[[0,7],[8,15],[16,19],[19,20],[21,24],[25,29],[30,35],[36,39],[40,46],[47,54],[55,62],[63,65],[66,72],[73,79],[79,80],[81,86],[87,89],[90,97],[97,98],[99,103],[104,107],[108,113],[114,129],[130,138],[138,139],[140,144],[145,148],[149,150],[150,157],[158,163],[164,171],[172,178],[179,182],[183,186],[187,195],[196,204],[204,205],[206,215],[216,226],[227,235],[236,240],[240,241],[242,245],[246,254],[255,264],[265,269],[270,273],[274,279],[280,282],[283,292],[293,296],[297,301],[301,302],[303,306],[307,310],[311,315],[316,318],[319,322],[323,330],[331,336],[336,337],[338,346],[346,347],[348,350],[351,357],[358,362],[363,368],[369,372],[373,375],[376,381],[382,388],[389,392],[393,396],[397,404],[405,408],[409,416],[417,420],[421,424],[425,427],[428,439],[439,440],[441,445],[446,449],[450,453],[454,456],[457,460],[461,463],[464,468],[468,469],[470,473],[474,477],[478,480],[481,489],[490,494],[494,495],[496,498],[499,503],[504,511],[511,512],[513,519],[520,526],[527,533],[534,541],[542,546],[547,550],[551,556],[557,562],[562,563]],"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],[96,96],[97,97],[98,98],[99,99],[100,100],[101,101],[102,102],[103,103],[104,104],[105,105],[106,106],[107,107]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.093900203704834} +{"basename":"brandes_naturlehre01_1830","par_idx":782,"date":1830,"orig":"Auf ebenſolchen Gruͤnden beruhet folgende Berechnung Borelli's.","norm":"Auf ebensolchen Gründen beruhet folgende Berechnung Borellis.","orig_tok":["Auf","ebenſolchen","Gruͤnden","beruhet","folgende","Berechnung","Borelli's","."],"norm_tok":["Auf","ebensolchen","Gründen","beruhet","folgende","Berechnung","Borellis","."],"orig_spans":[[0,3],[4,15],[16,24],[25,32],[33,41],[42,52],[53,62],[62,63]],"norm_spans":[[0,3],[4,15],[16,23],[24,31],[32,40],[41,51],[52,60],[60,61]],"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":"eu","orig_lang_de":0.667,"norm_lmscore":7.099400043487549} +{"basename":"brandes_naturlehre01_1830","par_idx":783,"date":1830,"orig":"Wenn ein Mann, der ſelbſt 180 Pfund wiegt, noch 200 Pfund auf dem Nacken traͤgt, und waͤhrend der eine Fuß gehoben wird, mit etwas gebogenem Knie ganz auf dem andern Fuße ruht, uͤben die an der convexen Rundung des Kniees aufliegenden Muskeln eine Kraft von 2280 Pfunden aus.","norm":"Wenn ein Mann, der selbst 180 Pfund wiegt, noch 200 Pfund auf dem Nacken trägt, und während der eine Fuß gehoben wird, mit etwas gebogenem Knie ganz auf dem anderen Fuße ruht, üben die an der konvexen Rundung des Knies aufliegenden Muskeln eine Kraft von 2280 Pfunden aus.","orig_tok":["Wenn","ein","Mann",",","der","ſelbſt","180","Pfund","wiegt",",","noch","200","Pfund","auf","dem","Nacken","traͤgt",",","und","waͤhrend","der","eine","Fuß","gehoben","wird",",","mit","etwas","gebogenem","Knie","ganz","auf","dem","andern","Fuße","ruht",",","uͤben","die","an","der","convexen","Rundung","des","Kniees","aufliegenden","Muskeln","eine","Kraft","von","2280","Pfunden","aus","."],"norm_tok":["Wenn","ein","Mann",",","der","selbst","180","Pfund","wiegt",",","noch","200","Pfund","auf","dem","Nacken","trägt",",","und","während","der","eine","Fuß","gehoben","wird",",","mit","etwas","gebogenem","Knie","ganz","auf","dem","anderen","Fuße","ruht",",","üben","die","an","der","konvexen","Rundung","des","Knies","aufliegenden","Muskeln","eine","Kraft","von","2280","Pfunden","aus","."],"orig_spans":[[0,4],[5,8],[9,13],[13,14],[15,18],[19,25],[26,29],[30,35],[36,41],[41,42],[43,47],[48,51],[52,57],[58,61],[62,65],[66,72],[73,79],[79,80],[81,84],[85,93],[94,97],[98,102],[103,106],[107,114],[115,119],[119,120],[121,124],[125,130],[131,140],[141,145],[146,150],[151,154],[155,158],[159,165],[166,170],[171,175],[175,176],[177,182],[183,186],[187,189],[190,193],[194,202],[203,210],[211,214],[215,221],[222,234],[235,242],[243,247],[248,253],[254,257],[258,262],[263,270],[271,274],[274,275]],"norm_spans":[[0,4],[5,8],[9,13],[13,14],[15,18],[19,25],[26,29],[30,35],[36,41],[41,42],[43,47],[48,51],[52,57],[58,61],[62,65],[66,72],[73,78],[78,79],[80,83],[84,91],[92,95],[96,100],[101,104],[105,112],[113,117],[117,118],[119,122],[123,128],[129,138],[139,143],[144,148],[149,152],[153,156],[157,164],[165,169],[170,174],[174,175],[176,180],[181,184],[185,187],[188,191],[192,200],[201,208],[209,212],[213,218],[219,231],[232,239],[240,244],[245,250],[251,254],[255,259],[260,267],[268,271],[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],[46,46],[47,47],[48,48],[49,49],[50,50],[51,51],[52,52],[53,53]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.046199798583984} 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Daß man das Tragen eines Gewichtes noch ſchwieriger mache, wenn man es an einem in der Hand gehaltenen Stabe mit ausgeſtrecktem Arme haͤlt, laͤßt ſich auch leicht uͤberſehen.","norm":"Die Berechnung, welche Kraft die Muskeln beim Zerbeißen einer harten Nuss anwenden, beruht ebenso auf den Gesetzen des Hebels, und man setzt dabei voraus, dass man das Gewicht, unter dessen Last die Nuss zerdrückt wird, kenne . Dass man das Tragen eines Gewichtes noch schwieriger mache, wenn man es an einem in der Hand gehaltenen Stabe mit ausgestrecktem Arme hält, lässt sich auch leicht 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Kraft anwenden, indem ich den auf dem Zeigefinger liegenden Stab mit dem Daumen niederdrücke und so meinen Zeigefinger oder einen anderen Teil der Hand zum Unterstützungspunkte des Hebels, den der Stab darstellt, mache; hier muss der Daumen, wenn 1 Pfund am Stabe hängend zehnmal so entfernt als der Daumen vom Zeigefinger angebracht ist, 10 Pfund Kraft ausüben und der Zeigefinger den Druck von 11 Pfunden 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+{"basename":"brandes_naturlehre01_1830","par_idx":789,"date":1830,"orig":"Die abſolute Feſtigkeit lernten wir durch die Kraft, welche zum Zerreißen des Koͤrpers noͤthig iſt, kennen, dagegen nennen wir relative Feſtigkeit denjenigen Widerſtand des Zuſammenhanges, der ſich dem Zerbrechen entgegenſetzt.","norm":"Die absolute Festigkeit lernten wir durch die Kraft, welche zum Zerreißen des Körpers nötig ist, kennen, dagegen nennen wir relative Festigkeit denjenigen Widerstand des Zusammenhanges, der sich dem Zerbrechen 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+{"basename":"brandes_naturlehre01_1830","par_idx":793,"date":1830,"orig":"Entſtaͤnde alſo der Widerſtand auch nur aus dem Zuſammenhange der drei Theilchen D, E, F im einen, d, e, f im andern Balken, ſo waͤre doch fuͤr den erſtern eine doppelt ſo große Kraft zum Zerbrechen noͤthig, wenn D doppelt ſo weit als d, E doppelt ſo weit als e, F doppelt ſo weit als f von dem Drehungspuncte entfernt waͤre; da nun im doppelt ſo hohen Balken zugleich doppelt ſo viele Theilchen uͤber einander liegen, und jedes mit doppelter Gewalt wirkt, ſo iſt die relative Feſtigkeit viermal ſo groß beim doppelt ſo hohen, neunmal ſo groß beim dreimal ſo hohen, hundertmal ſo groß beim zehnmal ſo hohen Balken.","norm":"Entstände also der Widerstand auch nur aus dem Zusammenhang der drei Teilchen D, E, F im einen, d, e, f im anderen Balken, so wäre doch für den ersteren eine doppelt so große Kraft zum Zerbrechen nötig, wenn D doppelt so weit als d, E doppelt so weit als e, F doppelt so weit als f von dem Drehungspunkte entfernt wäre; da nun im doppelt so hohen Balken zugleich doppelt so viele Teilchen übereinander liegen, und jedes mit doppelter Gewalt wirkt, so ist die relative Festigkeit viermal so groß beim doppelt so hohen, neunmal so groß beim dreimal so hohen, hundertmal so groß beim zehnmal so hohen 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12 die Höhe ist und 2 die Breite, so hat man dagegen 12 Mal 12 Mal 2 = 288 als Ausdruck der 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gezeigt.","norm":"EDF die Fläche des Rades, AB den Querschnitt der Welle vorstellt, so ist der Mittelpunkt C der eigentliche Drehungspunkt und es mag nun, wenn die Last in B hinabwärts zieht, die Kraft in D hinaufwärts oder in E herabwärts ziehen, immer wird ECB oder CBD als ein Hebel anzusehen sein, an welchem Kräfte Drehungen nach entgegengesetzten Richtungen zu bewirken streben; dass aber dann die Kraft bei E in eben dem Verhältnisse gegen B gerechnet geringer sein darf, als der Abstand CE größer in Verhältnis gegen CB ist, habe ich ja schon 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Umfang 10mal so groß als der Umfang seiner Welle ist, auch ein ganzes Mal, und da jeder Zahn an EG einen Zahn an ED mitnimmt, so dreht sich das kleine gezähnte Rad ED ebenso schnell fort, und die Geschwindigkeit am Umfange F ist wieder 10mal so groß als in E, das ist 100mal so groß, als die Geschwindigkeit der 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+{"basename":"brandes_naturlehre01_1830","par_idx":813,"date":1830,"orig":"Man wendet das gezaͤhnte Rad oft mit einer aus wenigen Schraubengaͤngen beſtehenden Schraube verbunden an.","norm":"Man wendet das gezähnte Rad oft mit einer aus wenigen Schraubengängen bestehenden Schraube verbunden an.","orig_tok":["Man","wendet","das","gezaͤhnte","Rad","oft","mit","einer","aus","wenigen","Schraubengaͤngen","beſtehenden","Schraube","verbunden","an","."],"norm_tok":["Man","wendet","das","gezähnte","Rad","oft","mit","einer","aus","wenigen","Schraubengängen","bestehenden","Schraube","verbunden","an","."],"orig_spans":[[0,3],[4,10],[11,14],[15,24],[25,28],[29,32],[33,36],[37,42],[43,46],[47,54],[55,71],[72,83],[84,92],[93,102],[103,105],[105,106]],"norm_spans":[[0,3],[4,10],[11,14],[15,23],[24,27],[28,31],[32,35],[36,41],[42,45],[46,53],[54,69],[70,81],[82,90],[91,100],[101,103],[103,104]],"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":5.084400177001953} +{"basename":"brandes_naturlehre01_1830","par_idx":814,"date":1830,"orig":"Der zwiſchen die Zaͤhne eingreifende Schraubengang ſchiebt den einen Zahn um ſo viel vorwaͤrts, als der Abſtand der Schraubengaͤnge von einander betraͤgt, und indem dieſer vorbei geruͤckt iſt, wird ein zweiter Zahn fortgetrieben.","norm":"Der zwischen die Zähne eingreifende Schraubengang schiebt den einen Zahn um so viel vorwärts, als der Abstand der Schraubengänge voneinander beträgt, und indem dieser vorbei gerückt ist, wird ein zweiter Zahn fortgetrieben.","orig_tok":["Der","zwiſchen","die","Zaͤhne","eingreifende","Schraubengang","ſchiebt","den","einen","Zahn","um","ſo","viel","vorwaͤrts",",","als","der","Abſtand","der","Schraubengaͤnge","von","einander","betraͤgt",",","und","indem","dieſer","vorbei","geruͤckt","iſt",",","wird","ein","zweiter","Zahn","fortgetrieben","."],"norm_tok":["Der","zwischen","die","Zähne","eingreifende","Schraubengang","schiebt","den","einen","Zahn","um","so","viel","vorwärts",",","als","der","Abstand","der","Schraubengänge","voneinander","beträgt",",","und","indem","dieser","vorbei","gerückt","ist",",","wird","ein","zweiter","Zahn","fortgetrieben","."],"orig_spans":[[0,3],[4,12],[13,16],[17,23],[24,36],[37,50],[51,58],[59,62],[63,68],[69,73],[74,76],[77,79],[80,84],[85,94],[94,95],[96,99],[100,103],[104,111],[112,115],[116,131],[132,135],[136,144],[145,153],[153,154],[155,158],[159,164],[165,171],[172,178],[179,187],[188,191],[191,192],[193,197],[198,201],[202,209],[210,214],[215,228],[228,229]],"norm_spans":[[0,3],[4,12],[13,16],[17,22],[23,35],[36,49],[50,57],[58,61],[62,67],[68,72],[73,75],[76,78],[79,83],[84,92],[92,93],[94,97],[98,101],[102,109],[110,113],[114,128],[129,140],[141,148],[148,149],[150,153],[154,159],[160,166],[167,173],[174,181],[182,185],[185,186],[187,191],[192,195],[196,203],[204,208],[209,222],[222,223]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.971499919891357} +{"basename":"brandes_naturlehre01_1830","par_idx":815,"date":1830,"orig":"Weil hier dieſelben Schraubengaͤnge immer aufs Neue wirken, ſo nennt man die Schraube eine Schraube ohne Ende.","norm":"Weil hier dieselben Schraubengänge immer aufs Neue wirken, so nennt man die Schraube eine Schraube ohne 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+{"basename":"brandes_naturlehre01_1830","par_idx":816,"date":1830,"orig":"Auch den Flaſchenzug kann ich hier doch nicht ganz uͤbergehen, da er ein ſo wichtiges Mittel zu Vermehrung der Hebekraft da darbietet, wo kein ſchnelles Heben der Laſt erforderlich iſt.","norm":"Auch den Flaschenzug kann ich hier doch nicht ganz übergehen, da er ein so wichtiges Mittel zu Vermehrung der Hebekraft da darbietet, wo kein schnelles Heben der Last erforderlich 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+{"basename":"brandes_naturlehre01_1830","par_idx":817,"date":1830,"orig":"Wenn (Fig. 35.) das Gewicht P mit der Rolle C verbunden iſt, und das um die Rolle C gehende Seil iſt in A feſtgeknuͤpft, indem an B die erhaltende Kraft aufwaͤrts zieht, ſo braucht dieſe offenbar nur ſo groß, als die Haͤlfte von P zu ſein, da der Haken die eine Haͤlfte der Laſt traͤgt.","norm":"Wenn (Fig. 35.) das Gewicht P mit der Rolle C verbunden ist, und das um die Rolle C gehende Seil ist in A festgeknüpft, indem an B die erhaltende Kraft aufwärts zieht, so braucht diese offenbar nur so groß, als die Hälfte von P zu sein, da der Haken die eine Hälfte der Last 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+{"basename":"brandes_naturlehre01_1830","par_idx":897,"date":1830,"orig":"Geſetzt die ganze Schnellwaage ſei 10 Pfund ſchwer, und man finde, daß AC halb ſo groß als CG ſein muß, damit das Gleichgewicht beſtehe, ſo iſt die angehaͤngte, abzuwaͤgende Laſt 20 Pfund, und es pflegt auf dem Arme ACG dieſe Zahl der Pfunde fuͤr jede Lage der Unterſtuͤtzung bemerkt zu ſein.","norm":"Gesetzt die ganze Schnellwaage sei 10 Pfund schwer, und man finde, dass AC halb so groß als CG sein muss, damit das Gleichgewicht bestehe, so ist die angehängte, abzuwägende Last 20 Pfund, und es pflegt auf dem Arme ACG diese Zahl der Pfunde für jede Lage der Unterstützung bemerkt zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":898,"date":1830,"orig":"Man kann den Vortheil, mit kleinen Gewichten große Laſten abzuwaͤgen, durch eine angemeſſene Verbindung mehrerer Waagebalken noch mehr erhoͤhen, zum Beiſpiel durch eine ſolche Einrichtung, wie (Fig. 10. *) zeigt.","norm":"Man kann den Vorteil, mit kleinen Gewichten große Lasten abzuwägen, durch eine angemessene Verbindung mehrerer Waagebalken noch mehr erhöhen, zum Beispiel durch eine solche Einrichtung, wie (Fig. 10. *) 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+{"basename":"brandes_naturlehre01_1830","par_idx":899,"date":1830,"orig":"Hier iſt AB ein in E aufliegender Waagebalken, der mit der Stange BC und dem zweiten Waagebalken CD ſo verbunden iſt, daß eine Drehung um die Verbindungspuncte B und C ſtatt finden kann; das Ende D aber iſt um eine an den Unterlagen befeſtigte Axe D drehbar.","norm":"Hier ist AB ein in E aufliegender Waagebalken, der mit der Stange BC und dem zweiten Waagebalken CD so verbunden ist, dass eine Drehung um die Bindungspunkte B und C stattfinden kann; das Ende D aber ist um eine an den Unterlagen befestigte Achse D 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+{"basename":"brandes_naturlehre01_1830","par_idx":914,"date":1830,"orig":"Dieſe Kettenlinie koͤmmt auch bei der Form der Gewoͤlbe vor.","norm":"Diese Kettenlinie kommt auch bei der Form der Gewölbe vor.","orig_tok":["Dieſe","Kettenlinie","koͤmmt","auch","bei","der","Form","der","Gewoͤlbe","vor","."],"norm_tok":["Diese","Kettenlinie","kommt","auch","bei","der","Form","der","Gewölbe","vor","."],"orig_spans":[[0,5],[6,17],[18,24],[25,29],[30,33],[34,37],[38,42],[43,46],[47,55],[56,59],[59,60]],"norm_spans":[[0,5],[6,17],[18,23],[24,28],[29,32],[33,36],[37,41],[42,45],[46,53],[54,57],[57,58]],"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":4.688700199127197} +{"basename":"brandes_naturlehre01_1830","par_idx":915,"date":1830,"orig":"Wenn man zwei Staͤbe ſo auf einander ſetzt, daß (Fig. 48.) der eine ſich an die feſte Wand AB anlehnt, der andre auf dem Boden BC ruhet, ſo giebt es eine gewiſſe Stellung, bei welcher die in D ſich an einander ſtuͤtzenden Staͤbe AD, DC, ohne fremde Kraft ſich ſelbſt erhalten.","norm":"Wenn man zwei Stäbe so aufeinander setzt, dass (Fig. 48.) der eine sich an die feste Wand AB anlehnt, der andere auf dem Boden BC ruhet, so gibt es eine gewisse Stellung, bei welcher die in D sich aneinander stützenden Stäbe AD, DC, ohne fremde Kraft sich selbst 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der zweiten Sekunde, 60 Fuß der Weg in den zwei ersten Sekunden; in der dritten Sekunde ist der Weg 75 Fuß, nämlich das Mittlere zwischen 60 und 90, und so 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2, 3 Mal 3, 4 Mal 4, gibt, so erhalten wir die Regel, dass die durchlaufenen Räume den Quadraten der Zeiten proportional sind, das heißt, diejenige gleichförmig beschleunigende Kraft, welche den Körper in 1 Sekunde durch 15 Fuß treibt, führt ihn in 2 Sekunden durch 4.15 Fuß, in 3 Sekunden durch 9.15 Fuß, in 4 Sekunden durch 16.15 Fuß und so 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+{"basename":"brandes_naturlehre01_1830","par_idx":930,"date":1830,"orig":"Die Erfahrung zeigt, daß die Schwere ſich wirklich dem angegebenen Geſetze gemaͤß verhaͤlt.","norm":"Die Erfahrung zeigt, dass die Schwere sich wirklich dem angegebenen Gesetze gemäß 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, an welcher man den Fall der Koͤrper ſo langſam, als man will, hervorbringen kann.","norm":"Um den Schwierigkeiten auszuweichen, die mit Fallversuchen bei freier Einwirkung der Schwere verbunden sind, dient die von Atwood angegebene Fallmaschine, an welcher man den Fall der Körper so langsam, als man will, hervorbringen 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dass man es mit dem Auge verfolgen kann, behält, so lässt sich nun auch das Gesetz der Fallräume 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+{"basename":"brandes_naturlehre01_1830","par_idx":941,"date":1830,"orig":"Man nehme das eine Gewicht 900 Gran, das andre 910 Gran ſchwer, ſo iſt die bewegende Kraft des Uebergewichts 10 Gran, aber da dieſe Kraft 1810 Gran fortziehen muß, ſo durchlaͤuft das ſchwerere Gewicht nur [Formel] des Raumes, welchen es bei freiem Falle durchlaufen wuͤrde, das iſt beinahe genau 1 Zoll in 1 Secunde; giebt man alſo der Tafel CD genau die Hoͤhe, daß man die untere Flaͤche des Gewichtes Q 64 Zoll uͤber dem Boden aufhaͤngen kann, ſo wird es am Ende der achten Secunde nach dem Anfange des Falles auftreffen, und wenn man eine zum Anſchrauben eingerichtete Platte auf 49 Zoll, auf 36 Zoll Tiefe, auf 25 Zoll Tiefe unter dem Anfangspuncte befeſtigt, ſo wird ſie in 7 Secunden oder in 6 Secunden oder in 5 Secunden erreicht werden.","norm":"Man nehme das eine Gewicht 900 Gran, das andere 910 Gran schwer, so ist die bewegende Kraft des Übergewichts 10 Gran, aber da diese Kraft 1810 Gran fortziehen muss, so 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+{"basename":"brandes_naturlehre01_1830","par_idx":942,"date":1830,"orig":"Damit man hiebei einen genauen Zeitmoment fuͤr den Anfang des Fallens wahrnehmen koͤnne, wird das Staͤbchen EF, welches die Figur nur im Querſchnitte zeigt, an den Faden gedraͤngt, um dieſen feſt zu halten, und man ſtoͤßt dieſes ploͤtzlich in dem Augenblicke fort, da das in der Naͤhe aufgehaͤngte Secundenpendel grade eine Schwingung vollendet, um das Zaͤhlen der Pendelſchlaͤge ganz genau mit dem Anfange des Fallens zu beginnen.","norm":"Damit man hierbei einen genauen Zeitmoment für den Anfang des Fallens wahrnehmen könne, wird das Stäbchen EF, welches die Figur nur im Querschnitte zeigt, an den Faden gedrängt, um diesen festzuhalten, und man stößt dieses plötzlich in dem Augenblicke fort, da das in der Nähe aufgehängte Sekundenpendel gerade eine Schwingung vollendet, um das Zählen der Pendelschläge ganz genau mit dem Anfange des Fallens zu 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erreicht.","orig_tok":["Der","dritte","Zweck",",","die","in","einem","gewiſſen","Puncte","des","Weges","erlangte","Geſchwindigkeit","abzumeſſen",",","wird","durch","ploͤtzliches","Abheben","des","Uebergewichts","erreicht","."],"norm_tok":["Der","dritte","Zweck",",","die","in","einem","gewissen","Punkte","des","Weges","erlangte","Geschwindigkeit","abzumessen",",","wird","durch","plötzliches","Abheben","des","Übergewichts","erreicht","."],"orig_spans":[[0,3],[4,10],[11,16],[16,17],[18,21],[22,24],[25,30],[31,39],[40,46],[47,50],[51,56],[57,65],[66,81],[82,92],[92,93],[94,98],[99,104],[105,117],[118,125],[126,129],[130,143],[144,152],[152,153]],"norm_spans":[[0,3],[4,10],[11,16],[16,17],[18,21],[22,24],[25,30],[31,39],[40,46],[47,50],[51,56],[57,65],[66,81],[82,92],[92,93],[94,98],[99,104],[105,116],[117,124],[125,128],[129,141],[142,150],[150,151]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.756899833679199} +{"basename":"brandes_naturlehre01_1830","par_idx":944,"date":1830,"orig":"So lange jenes Uebergewicht, von [Formel] des Ganzen, wirkſam bleibt, beſchleuniget ſich die Bewegung immer mehr, und nach den vorigen Betrachtungen muß die am Ende der erſten Secunde erlangte Geſchwindigkeit ſo groß ſein, daß der bewegte Koͤrper vermoͤge derſelben, durch die Traͤgheit allein, 2 Zoll in der Secunde zuruͤck legen wuͤrde; hat man ihn 2 Secunden alſo durch 4 Zoll herablaufen laſſen, ſo muß die Geſchwindigkeit 4 Zoll, am Ende der dritten Secunde oder in der Tiefe = 9 Zoll, muß ſie 6 Zoll ſein, u. ſ. w. Dieſe Beſchleunigung dauert aber nur fort, ſo lange Q ſein Uebergewicht behaͤlt, und wenn dieſes Uebergewicht von 1 Gewichttheilchen in Form eines Staͤbchens aufgelegt iſt, und abgehoben wird, indem Q durch eine bei R angeſchraubte kreisfoͤrmige Oeffnung geht, die nur das Gewicht Q, nicht aber das in Form eines Staͤbchens aufgelegte Uebergewicht durchlaͤßt, ſo hoͤrt nun die Beſchleunigung auf, und das Gewicht Q behaͤlt von R an eine gleichfoͤrmige Geſchwindigkeit.","norm":"Solange jenes Übergewicht, von [Formel] des Ganzen, wirksam bleibt, beschleuniget sich die Bewegung immer mehr, und nach den vorigen Betrachtungen muss die am Ende der ersten Sekunde erlangte Geschwindigkeit so groß sein, dass der bewegte Körper vermöge derselben, durch die Trägheit allein, 2 Zoll in der Sekunde zurücklegen würde; hat man ihn 2 Sekunden also durch 4 Zoll herablaufen lassen, so muss die Geschwindigkeit 4 Zoll, am Ende der dritten Sekunde oder in der Tiefe = 9 Zoll, muss sie 6 Zoll sein, u. s. w. 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Schießgewehr an, ſo ergiebt ſich, daß dieſes die Kugeln bei verticaler Richtung bis zu ſehr großen Hoͤhen fuͤhren muͤßte, aber ich werde kuͤnftig zeigen, wie ſehr der Widerſtand der Luft dieſe Hoͤhen vermindert.","norm":"Wendet man diese Regeln auf unser Schießgewehr an, so ergibt sich, dass dieses die Kugeln bei vertikaler Richtung bis zu sehr großen Höhen führen müsste, aber ich werde künftig zeigen, wie sehr der Widerstand der Luft diese Höhen 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Sec. 1500 Fuß, am Ende der 1. Sec. 1470 Fuß Geſchwindigkeit und durchliefe in der erſten Secunde 1485 Fuß; ſie haͤtte am Anfang der zweiten Sec. 1470 Fuß am Ende der zweiten Sec. 1440 Fuß Geſchwindigkeit und durchliefe in dieſer Secunde 1455 Fuß; in der dritten Sec.","norm":"Wäre dieser Widerstand nicht vorhanden, so würde eine mit 1500 Fuß anfänglicher Geschwindigkeit aufwärts geschossene Kugel 50 Sec . lang steigen, weil die Schwere in jeder Sekunde nur 30 Fuß Geschwindigkeit raubt; sie hätte dann am Anfang der 1. Sec. 1500 Fuß, am Ende der 1. Sec. 1470 Fuß Geschwindigkeit und durchliefe in der ersten Sekunde 1485 Fuß; sie hätte am Anfang der zweiten Sec . 1470 Fuß am Ende der zweiten Sec . 1440 Fuß Geschwindigkeit und durchliefe in dieser Sekunde 1455 Fuß; in der dritten 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+{"basename":"brandes_naturlehre01_1830","par_idx":957,"date":1830,"orig":"Die richtige Kenntniß des Weges, welchen der fallende Koͤrper in jeder Secunde durchlaͤuft, fuͤhrt uns aber noch weiter auch zu der Beſtimmung der gekruͤmmten Bahn, die ein in ſchiefer Richtung oder in horizontaler Richtung geworfner Koͤrper durchlaͤuft.","norm":"Die richtige Kenntnis des Weges, welchen der fallende Körper in jeder Sekunde durchläuft, führt uns aber noch weiter auch zu der Bestimmung der gekrümmten Bahn, die ein in schiefer Richtung oder in horizontaler Richtung geworfener Körper 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+{"basename":"brandes_naturlehre01_1830","par_idx":958,"date":1830,"orig":"Es verſteht ſich, daß wir auch dabei fuͤr jetzt an den Widerſtand der Luft nicht denken, obgleich er allerdings in der Anwendung ſehr wichtig iſt.","norm":"Es versteht sich, dass wir auch dabei für jetzt an den Widerstand der Luft nicht denken, obgleich er allerdings in der Anwendung sehr wichtig 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Stellt naͤmlich (Fig. 50.)","norm":"Eine Zeichnung führt uns am leichtesten zur Kenntnis jener gekrümmten Bahn, wenn wir die Zeichnung der Überlegung gemäß einrichten, dass der Körper, ohne Einwirkung der Schwere, auf seiner anfänglichen Richtungslinie mit immer gleicher Geschwindigkeit fortgehen würde, durch die Schwere aber um 15 Fuß in 1 Sec., um 60 Fuß in 2 Sec., um 135 Fuß in 3 Sec . heruntergezogen wird, u. s. w. Stellt nämlich (Fig. 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AH ſo fortgehe, daß der geworfne Koͤrper immer genau uͤber mir ſchweben wuͤrde, wenn keine Schwere wirkte, ſo thut er das auch, obgleich die Schwere einwirkt, nur mit dem Unterſchiede, daß er mir in der Verticallinie naͤher koͤmmt und mich endlich irgendwo in l erreicht.","norm":"Erstlich, wenn ich auf der horizontalen Ebene (Fig. 50.) AH so fortgehe, dass der geworfene Körper immer genau über mir schweben würde, wenn keine Schwere wirkte, so tut er das auch, obgleich die Schwere einwirkt, nur mit dem Unterschiede, dass er mir in der Vertikallinie näher kommt und mich endlich irgendwo in l 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+{"basename":"brandes_naturlehre01_1830","par_idx":978,"date":1830,"orig":"— Daß die Neigung von 45 Graden den weiteſten Wurf AE giebt, bei gleicher Geſchwindigkeit, laͤßt ſich freilich nur mit Huͤlfe einer ſtrengern Theorie uͤberſehen, aber wer nach den vorigen Regeln zeichnet, kann ſich auch durch Zeichnung uͤberzeugen, daß es ſo iſt.","norm":"— Dass die Neigung von 45 Geraden den weitesten Wurf AE gibt, bei gleicher Geschwindigkeit, lässt sich freilich nur mit Hilfe einer strengeren Theorie übersehen, aber wer nach den vorigen Regeln zeichnet, kann sich auch durch Zeichnung überzeugen, dass es so 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+{"basename":"brandes_naturlehre01_1830","par_idx":987,"date":1830,"orig":"Iſt aber das der Fall, ſo durchlaͤuft er in der Zwiſchenzeit den ganzen Kreisbogen AC, weil dieſer in D, wo AD = DC = ½ AC iſt, um ED = ¼ BC, und da wo die Entfernung = ⅓ AC iſt, um [Formel] BC von der graden Linie entfernt iſt.","norm":"Ist aber das der Fall, so durchläuft er in der Zwischenzeit den ganzen Kreisbogen AC, weil dieser in D, wo AD = DC = ½ AC ist, um ED = ¼ BC, und da wo die Entfernung = 1/3 AC ist, um [Formel] BC von der geraden Linie entfernt 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+{"basename":"brandes_naturlehre01_1830","par_idx":988,"date":1830,"orig":"So laͤßt ſich die Moͤglichkeit, daß ein geworfner Koͤrper einen Umlauf um die Erde mache, uͤberſehen.","norm":"So lässt sich die Möglichkeit, dass ein geworfener Körper einen Umlauf um die Erde mache, 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horizontal geworfner Koͤrper genau immer gleich weit von der Erde bleibe, muß er ſo ſchnell geworfen werden, daß er in 1 Sec. den Punct B erreiche, wo BC = 15 Fuß iſt, und dieſes fordert bei einem Kreiſe von 19600000 Fuß Halbmeſſer oder bei der Groͤße der Erde eine Entfernung AB = 24400 Fuß.","norm":"Aber damit ein horizontal geworfener Körper genau immer gleich weit von der Erde bleibe, muss er so schnell geworfen werden, dass er in 1 Sec . den Punkt B erreiche, wo BC = 15 Fuß ist, und dieses fordert bei einem Kreise von 19600000 Fuß Halbmesser oder bei der Größe der Erde eine Entfernung AB = 24400 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+{"basename":"brandes_naturlehre01_1830","par_idx":991,"date":1830,"orig":"Nach dieſen Geſetzen bewegt der Mond ſich um die Erde; aber die Berechnung der Groͤße ſeiner Bahn und der Zeit ſeines Umlaufs um die Erde zeigt, daß er auf der Beruͤhrungslinie fortgehend, erſt in 1 Minute ſich um 15 Fuß von der Erde entfernen wuͤrde, und da die Erfahrung zeigt, daß er in immer gleicher Entfernung von ihr erhalten wird, und dies ohne Zweifel durch die anziehende Kraft der Erde, ſo ſchließen wir, daß dieſe Anziehungskraft nur ein Fallen von 15 Fuß in 1 Minute bewirkt, ſtatt daß nahe an der Erde ein Koͤrper in 1 Secunde 15 Fuß faͤllt, und in 1 Minute 54000 Fuß durchfallen wuͤrde.","norm":"Nach diesen Gesetzen bewegt der Mond sich um die Erde; aber die Berechnung der Größe seiner Bahn und der Zeit seines Umlaufs um die Erde zeigt, dass er auf der Berührungslinie fortgehend, erst in 1 Minute sich um 15 Fuß von der Erde entfernen würde, und da die Erfahrung zeigt, dass er in immer gleicher Entfernung von ihr erhalten wird, und dies ohne Zweifel durch die anziehende Kraft der Erde, so schließen wir, dass diese Anziehungskraft nur ein Fallen von 15 Fuß in 1 Minute bewirkt, statt dass nahe an der Erde ein Körper in 1 Sekunde 15 Fuß fällt, und in 1 Minute 54000 Fuß durchfallen 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+{"basename":"brandes_naturlehre01_1830","par_idx":994,"date":1830,"orig":"Die Erde durchlaͤuft auf ihrer Bahn um die Sonne in jeder Minute 248 Meilen, und wuͤrde ſich, wenn ſie dieſen Raum auf der Beruͤhrungslinie der Erdbahn, nicht angezogen von der Sonne, durchliefe, in 1 Minute um 35 Fuß von der Sonne entfernen; die anziehende Kraft der Sonne erhaͤlt ſie in ihrer Bahn und noͤthigt ſie alſo, in 1 Minute 35 Fuß gegen die Sonne zu von der Tangente abzugehen.","norm":"Die Erde durchläuft auf ihrer Bahn um die Sonne in jeder Minute 248 Meilen, und würde sich, wenn sie diesen Raum auf der Berührungslinie der Erdbahn, nicht angezogen von der Sonne, durchliefe, in 1 Minute um 35 Fuß von der Sonne entfernen; die anziehende Kraft der Sonne erhält sie in ihrer Bahn und nötigt sie also, in 1 Minute 35 Fuß gegen die Sonne zu von der Tangente 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soll, nach Cfc, keck gespannt erhält, — das zu beweisen, wäre hier zu schwierig, und ich verweile hier um so mehr nicht allzu lange hierbei, da diese Betrachtungen zum Teil der Astronomie angehören,, und so zahlreiche andere Gegenstände hier unsere Aufmerksamkeit auf sich 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April gefallen war, allgemeine Aufmerkſamkeit.","norm":"Im Jahre 1803, als man zwar angefangen hatte, den Nachrichten von Steinregen einige Aufmerksamkeit zu widmen, aber doch den Zweifeln an der Wahrheit derjenigen Nachrichten, die von Steinregen in Gegenden, weit von Vulkanen entfernt, redeten, noch sehr viel Raum gab, erregte ein Steinregen, der im Departement der Orne (in der ehemaligen Normandie) am 26. April gefallen war, allgemeine 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+{"basename":"brandes_naturlehre01_1830","par_idx":1013,"date":1830,"orig":"Auf einem Raume von ungefehr 2½ Lieues Laͤnge und 1 Lieue Breite waren wenigſtens 2000 Steine herabgefallen, die an Gewicht von 17 Pfunden bis zu ½ Loth verſchieden waren.","norm":"Auf einem Raume von ungefähr 21/2 Lieues Länge und 1 Lieue Breite waren wenigstens 2000 Steine herabgefallen, die an Gewicht von 17 Pfunden bis zu ½ Lot verschieden 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+{"basename":"brandes_naturlehre01_1830","par_idx":1014,"date":1830,"orig":"Eine Feuerkugel hatte ſich in der Luft ſehen laſſen, die ſich ſchnell fortbewegte, und ſehr bald nachher hoͤrte man eine heftige Exploſion, die 5 bis 6 Minuten fortdauerte und auf 30 Lieues umher hoͤrbar war.","norm":"Eine Feuerkugel hatte sich in der Luft sehen lassen, die sich schnell fortbewegte, und sehr bald nachher hörte man eine heftige Explosion, die 5 bis 6 Minuten fortdauerte und auf 30 Lieues umher hörbar 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+{"basename":"brandes_naturlehre01_1830","par_idx":1015,"date":1830,"orig":"Sie glich anfangs einigen Canonenſchuͤſſen, und dann einem lange dauernden Getoͤſe, das mit einer Menge von Schuͤſſen aus kleinem Gewehr und mit ſehr heftigem Trommeln verglichen wurde.","norm":"Sie glich anfangs einigen Kanonenschüssen, und dann einem lange dauernden Getöse, das mit einer Menge von Schüssen aus kleinem Gewehr und mit sehr heftigem Trommeln verglichen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1016,"date":1830,"orig":"Dieſes Getoͤſe ſchien von einer kleinen viereckigen Wolke auszugehen, die ſehr hoch in der Atmoſphaͤre ſtehen mußte, da man ſie an ziemlich entfernten Orten im Zenith ſah. —","norm":"Dieses Getöse schien von einer kleinen viereckigen Wolke auszugehen, die sehr hoch in der Atmosphäre stehen musste, da man sie an ziemlich entfernten Orten im Zenit sah . 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+{"basename":"brandes_naturlehre01_1830","par_idx":1017,"date":1830,"orig":"Bei Nacht haͤtte dieſe Wolke ſich vermuthlich, ſo wie die Schweife der Feuerkugeln, als matt leuchtend gezeigt; es war aber kurz nach Mittag, und ſo konnte ihr matter Glanz wohl im Tageslichte unſichtbar werden.","norm":"Bei Nacht hätte diese Wolke sich vermutlich, so wie die Schweife der Feuerkugeln, als matt leuchtend gezeigt; es war aber kurz nach Mittag, und so konnte ihr matter Glanz wohl im Tageslichte unsichtbar 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ihrer Bahn ab; die Wirkung der Sonne ist also in gleicher Entfernung weit über 300000 Mal so groß, als die Wirkung der Erde, und da wir diese Anziehungskraft als eine Eigenschaft, die jedem Teilchen Materie eigen ist, ansehen, so legen wir der Sonne eine mehr als 300000 Mal so große Masse als der Erde bei, und berechnen auf ähnliche Weise die Massen der 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den Körper in eben der Zeit nur durch [Formel] Fuß, durch ein Viertel jenes Raumes, fortzuführen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1091,"date":1830,"orig":"Verſuche mit der Schwungmaſchine.","norm":"Versuche mit der Schwungmaschine.","orig_tok":["Verſuche","mit","der","Schwungmaſchine","."],"norm_tok":["Versuche","mit","der","Schwungmaschine","."],"orig_spans":[[0,8],[9,12],[13,16],[17,32],[32,33]],"norm_spans":[[0,8],[9,12],[13,16],[17,32],[32,33]],"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":4.307300090789795} +{"basename":"brandes_naturlehre01_1830","par_idx":1092,"date":1830,"orig":"Die Schwungmaſchine zeigt dies fuͤr eine Menge von Faͤllen.","norm":"Die Schwungmaschine zeigt dies für eine Menge von 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einem hohen Grade vermehren.","norm":"Sie ist am besten so eingerichtet, dass eine mit mäßiger Geschwindigkeit gedrehte Scheibe QR eine zweite Scheibe DE, entweder durch eingreifende Zähne oder auch nur durch eine um AB (Fig. 58.) gehende Schnur in sehr schnelle Bewegung setzt; zählt man dann die Umdrehungen der einen Scheibe, so kennt man die Geschwindigkeit der anderen, und kann diese bis zu einem hohen Grade 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+{"basename":"brandes_naturlehre01_1830","par_idx":1094,"date":1830,"orig":"Legt man nun zuerſt auf die ſchnellere Scheibe kleine Kugeln in ungleichen Entfernungen vom Mittelpuncte in flachen Vertiefungen auf, ſo werden bei maͤßiger Schnelligkeit zuerſt die entfernteren Kugeln, endlich bei groͤßerer Schnelligkeit auch die dem Mittelpuncte naͤheren herausgeworfen und nur die im Mittelpuncte ſelbſt aufliegende bleibt immer in Ruhe.","norm":"Legt man nun zuerst auf die schnellere Scheibe kleine Kugeln in ungleichen Entfernungen vom Mittelpunkte in flachen Vertiefungen auf, so werden bei mäßiger Schnelligkeit zuerst die entfernteren Kugeln, endlich bei größerer Schnelligkeit auch die dem Mittelpunkte näheren herausgeworfen und nur die im Mittelpunkte selbst aufliegende bleibt immer in 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und so wie dadurch in anderen Fällen bloß der Faden gespannt wird, so zeigt sich hier ein Zurückweichen vom 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+{"basename":"brandes_naturlehre01_1830","par_idx":1111,"date":1830,"orig":"Aus der Schnelligkeit der Umdrehung wuͤrde ſich die ſphaͤroidiſche Geſtalt der Erde berechnen laſſen, wenn die Erde ganz aus Waſſer beſtaͤnde und uͤberall gleich dicht waͤre; da dies nicht der Fall iſt, ſo muͤſſen wir durch Abmeſſungen der Erde und durch die Experimente uͤber die in verſchiedenen Gegenden ungleiche Kraft der Schwere, wovon ich ſpaͤter noch reden werde, ihre Geſtalt kennen lernen.","norm":"Aus der Schnelligkeit der Umdrehung würde sich die Sphäroidtische Gestalt der Erde berechnen lassen, wenn die Erde ganz aus Wasser bestände und überall gleich dicht wäre; da dies nicht der Fall ist, so müssen wir durch Abmessungen der Erde und durch die Experimente über die in verschiedenen Gegenden ungleiche Kraft der Schwere, wovon ich später noch reden werde, ihre Gestalt kennen lernen.","orig_tok":["Aus","der","Schnelligkeit","der","Umdrehung","wuͤrde","ſich","die","ſphaͤroidiſche","Geſtalt","der","Erde","berechnen","laſſen",",","wenn","die","Erde","ganz","aus","Waſſer","beſtaͤnde","und","uͤberall","gleich","dicht","waͤre",";","da","dies","nicht","der","Fall","iſt",",","ſo","muͤſſen","wir","durch","Abmeſſungen","der","Erde","und","durch","die","Experimente","uͤber","die","in","verſchiedenen","Gegenden","ungleiche","Kraft","der","Schwere",",","wovon","ich","ſpaͤter","noch","reden","werde",",","ihre","Geſtalt","kennen","lernen","."],"norm_tok":["Aus","der","Schnelligkeit","der","Umdrehung","würde","sich","die","Sphäroidtische","Gestalt","der","Erde","berechnen","lassen",",","wenn","die","Erde","ganz","aus","Wasser","bestände","und","überall","gleich","dicht","wäre",";","da","dies","nicht","der","Fall","ist",",","so","müssen","wir","durch","Abmessungen","der","Erde","und","durch","die","Experimente","über","die","in","verschiedenen","Gegenden","ungleiche","Kraft","der","Schwere",",","wovon","ich","später","noch","reden","werde",",","ihre","Gestalt","kennen","lernen","."],"orig_spans":[[0,3],[4,7],[8,21],[22,25],[26,35],[36,42],[43,47],[48,51],[52,66],[67,74],[75,78],[79,83],[84,93],[94,100],[100,101],[102,106],[107,110],[111,115],[116,120],[121,124],[125,131],[132,141],[142,145],[146,154],[155,161],[162,167],[168,173],[173,174],[175,177],[178,182],[183,188],[189,192],[193,197],[198,201],[201,202],[203,205],[206,213],[214,217],[218,223],[224,235],[236,239],[240,244],[245,248],[249,254],[255,258],[259,270],[271,276],[277,280],[281,283],[284,297],[298,306],[307,316],[317,322],[323,326],[327,334],[334,335],[336,341],[342,345],[346,353],[354,358],[359,364],[365,370],[370,371],[372,376],[377,384],[385,391],[392,398],[398,399]],"norm_spans":[[0,3],[4,7],[8,21],[22,25],[26,35],[36,41],[42,46],[47,50],[51,65],[66,73],[74,77],[78,82],[83,92],[93,99],[99,100],[101,105],[106,109],[110,114],[115,119],[120,123],[124,130],[131,139],[140,143],[144,151],[152,158],[159,164],[165,169],[169,170],[171,173],[174,178],[179,184],[185,188],[189,193],[194,197],[197,198],[199,201],[202,208],[209,212],[213,218],[219,230],[231,234],[235,239],[240,243],[244,249],[250,253],[254,265],[266,270],[271,274],[275,277],[278,291],[292,300],[301,310],[311,316],[317,320],[321,328],[328,329],[330,335],[336,339],[340,346],[347,351],[352,357],[358,363],[363,364],[365,369],[370,377],[378,384],[385,391],[391,392]],"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":4.157400131225586} +{"basename":"brandes_naturlehre01_1830","par_idx":1112,"date":1830,"orig":"— Um das nachzuahmen, was hier die Veraͤnderung der Kugelgeſtalt in eine ſphaͤroidiſche bewirkt, ſchraubt man auf die Scheibe der Schwungmaſchine zwei ſenkrecht ſtehende kreisfoͤrmige Meſſingreifen, die auf ein verticales Staͤbchen ſo aufgeſchoben ſind, daß ſie ſich daran leicht verſchieben laſſen.","norm":"— Um das nachzuahmen, was hier die Veränderung der Kugelgestalt in eine Sphäroidtische bewirkt, schraubt man auf die Scheibe der Schwungmaschine zwei senkrecht stehende kreisförmige Messingreifen, die auf ein vertikales Stäbchen so aufgeschoben sind, dass sie sich daran leicht verschieben lassen.","orig_tok":["—","Um","das","nachzuahmen",",","was","hier","die","Veraͤnderung","der","Kugelgeſtalt","in","eine","ſphaͤroidiſche","bewirkt",",","ſchraubt","man","auf","die","Scheibe","der","Schwungmaſchine","zwei","ſenkrecht","ſtehende","kreisfoͤrmige","Meſſingreifen",",","die","auf","ein","verticales","Staͤbchen","ſo","aufgeſchoben","ſind",",","daß","ſie","ſich","daran","leicht","verſchieben","laſſen","."],"norm_tok":["—","Um","das","nachzuahmen",",","was","hier","die","Veränderung","der","Kugelgestalt","in","eine","Sphäroidtische","bewirkt",",","schraubt","man","auf","die","Scheibe","der","Schwungmaschine","zwei","senkrecht","stehende","kreisförmige","Messingreifen",",","die","auf","ein","vertikales","Stäbchen","so","aufgeschoben","sind",",","dass","sie","sich","daran","leicht","verschieben","lassen","."],"orig_spans":[[0,1],[2,4],[5,8],[9,20],[20,21],[22,25],[26,30],[31,34],[35,47],[48,51],[52,64],[65,67],[68,72],[73,87],[88,95],[95,96],[97,105],[106,109],[110,113],[114,117],[118,125],[126,129],[130,145],[146,150],[151,160],[161,169],[170,183],[184,197],[197,198],[199,202],[203,206],[207,210],[211,221],[222,231],[232,234],[235,247],[248,252],[252,253],[254,257],[258,261],[262,266],[267,272],[273,279],[280,291],[292,298],[298,299]],"norm_spans":[[0,1],[2,4],[5,8],[9,20],[20,21],[22,25],[26,30],[31,34],[35,46],[47,50],[51,63],[64,66],[67,71],[72,86],[87,94],[94,95],[96,104],[105,108],[109,112],[113,116],[117,124],[125,128],[129,144],[145,149],[150,159],[160,168],[169,181],[182,195],[195,196],[197,200],[201,204],[205,208],[209,219],[220,228],[229,231],[232,244],[245,249],[249,250],[251,255],[256,259],[260,264],[265,270],[271,277],[278,289],[290,296],[296,297]],"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":4.440599918365478} +{"basename":"brandes_naturlehre01_1830","par_idx":1113,"date":1830,"orig":"Die Meſſingreifen ſind Kreiſe und werden durch ihre Elaſticitaͤt in dieſer Form erhalten; wenn man ſie aber um die durch ihren Mittelpunct gehende Axe dreht, ſo ertheilt man den am meiſten von der Axe entfernten Theilen am meiſten Schwungkraft, und daher platten ſich die Reifen, die leicht biegſam ſein muͤſſen, ſo ab, daß die Axe kuͤrzer als der auf ſie ſenkrechte Durchmeſſer wird.","norm":"Die Messingreifen sind Kreise und werden durch ihre Elastizität in dieser Form erhalten; wenn man sie aber um die durch ihren Mittelpunkt gehende Achse dreht, so erteilt man den am meisten von der Achse entfernten Teilen am meisten Schwungkraft, und daher platten sich die Reifen, die leicht biegsam sein müssen, so ab, dass die Achse kürzer als der auf sie senkrechte Durchmesser 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+{"basename":"brandes_naturlehre01_1830","par_idx":1150,"date":1830,"orig":"Und nun werde ich Ihnen mit wenigen Worten den Zuſammenhang zwiſchen der Waͤrme oder Temperatur der ganzen Erde und den aſtronomiſchen Beobachtungen erklaͤren, und Laplace's ſeltſam klingende Behauptung rechtfertigen koͤnnen.","norm":"Und nun werde ich Ihnen mit wenigen Worten den Zusammenhang zwischen der Wärme oder Temperatur der ganzen Erde und den astronomischen Beobachtungen erklären, und Laplaces seltsam klingende Behauptung rechtfertigen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1151,"date":1830,"orig":"Es iſt eine, in einem andern Abſchnitte der Phyſik genauer zu erklaͤrende Erfahrung, daß die Koͤrper ſich ausdehnen, wenn ihre Temperatur groͤßer wird, und daß ſie ſich in einen engern Raum zuſammen ziehen, bei abnehmender Waͤrme; alſo muß auch die Erde, wenn ihre Temperatur ſeit uralten Zeiten abgenommen haͤtte, jetzt einen etwas geringern Durchmeſſer, als in jenen fruͤhern Zeiten, haben.","norm":"Es ist eine, in einem anderen Abschnitte der Physik genauer zu erklärende Erfahrung, dass die Körper sich ausdehnen, wenn ihre Temperatur größer wird, und dass sie sich in einen engeren Raum zusammen ziehen, bei abnehmender Wärme; also muss auch die Erde, wenn ihre Temperatur seit uralten Zeiten abgenommen hätte, jetzt einen etwas geringeren Durchmesser, als in jenen früheren Zeiten, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1211,"date":1830,"orig":"Dieſen Punct, welchen man den Mittelpunct des Schwunges nennt, in welchem naͤmlich jener einzige ſchwere Punct ſich befinden muͤßte, um ein in ebenſo langen Zeiten ſchwingendes Pendel darzubieten, laͤßt ſich nun freilich berechnen; aber dieſe Berechnung beruht auf einer vollkommen genauen Kenntniß aller einzelnen Theile des Pendels, und es wuͤrde immer ſchwer ſein, die Lage deſſelben bis auf [Formel] Linie zu verbuͤrgen.","norm":"Diesen Punkt, welchen man den Mittelpunkt des Schwunges nennt, in welchem nämlich jener einzige schwere Punkt sich befinden müsste, um ein in ebenso langen Zeiten schwingendes Pendel darzubieten, lässt sich nun freilich berechnen; aber diese Berechnung beruht auf einer vollkommen genauen Kenntnis aller einzelnen Teile des Pendels, und es würde immer schwer sein, die Lage desselben bis auf [Formel] Linie zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1212,"date":1830,"orig":"Wegen dieſer nicht ſtrengen Beſtimmung verdiente Bohnenberger's Pendel, welches Beſſel das Pendel mit reciproken Axen nennt, und das von andern das convertible, umwendbare Pendel genannt iſt, einen Vorzug, indem es den Schwingungsmittelpunct an einer genau beſtimmten Stelle, zur Abmeſſung bequem, darbietet.","norm":"Wegen dieser nicht strengen Bestimmung verdiente Bohnenbergers Pendel, welches Bessel das Pendel mit reziproken Achsen nennt, und das von anderen das Convertible, umwendbare Pendel genannt ist, einen Vorzug, indem es den Schwingungsmittelpunkt an einer genau bestimmten Stelle, zur Abmessung bequem, darbietet.","orig_tok":["Wegen","dieſer","nicht","ſtrengen","Beſtimmung","verdiente","Bohnenberger's","Pendel",",","welches","Beſſel","das","Pendel","mit","reciproken","Axen","nennt",",","und","das","von","andern","das","convertible",",","umwendbare","Pendel","genannt","iſt",",","einen","Vorzug",",","indem","es","den","Schwingungsmittelpunct","an","einer","genau","beſtimmten","Stelle",",","zur","Abmeſſung","bequem",",","darbietet","."],"norm_tok":["Wegen","dieser","nicht","strengen","Bestimmung","verdiente","Bohnenbergers","Pendel",",","welches","Bessel","das","Pendel","mit","reziproken","Achsen","nennt",",","und","das","von","anderen","das","Convertible",",","umwendbare","Pendel","genannt","ist",",","einen","Vorzug",",","indem","es","den","Schwingungsmittelpunkt","an","einer","genau","bestimmten","Stelle",",","zur","Abmessung","bequem",",","darbietet","."],"orig_spans":[[0,5],[6,12],[13,18],[19,27],[28,38],[39,48],[49,63],[64,70],[70,71],[72,79],[80,86],[87,90],[91,97],[98,101],[102,112],[113,117],[118,123],[123,124],[125,128],[129,132],[133,136],[137,143],[144,147],[148,159],[159,160],[161,171],[172,178],[179,186],[187,190],[190,191],[192,197],[198,204],[204,205],[206,211],[212,214],[215,218],[219,241],[242,244],[245,250],[251,256],[257,267],[268,274],[274,275],[276,279],[280,289],[290,296],[296,297],[298,307],[307,308]],"norm_spans":[[0,5],[6,12],[13,18],[19,27],[28,38],[39,48],[49,62],[63,69],[69,70],[71,78],[79,85],[86,89],[90,96],[97,100],[101,111],[112,118],[119,124],[124,125],[126,129],[130,133],[134,137],[138,145],[146,149],[150,161],[161,162],[163,173],[174,180],[181,188],[189,192],[192,193],[194,199],[200,206],[206,207],[208,213],[214,216],[217,220],[221,243],[244,246],[247,252],[253,258],[259,269],[270,276],[276,277],[278,281],[282,291],[292,298],[298,299],[300,309],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.165800094604492} +{"basename":"brandes_naturlehre01_1830","par_idx":1213,"date":1830,"orig":"Es iſt naͤmlich ein leicht aufzufaſſender Satz, daß, wenn ein Pendel am obern Ende aufgehaͤngt Secunden ſchlaͤgt, es auch irgendwo gegen das untere Ende hin einen Punct geben wird, in welchem umgekehrt aufgehaͤngt, es wieder Secunden ſchlaͤgt, und daß der Abſtand dieſer Puncte von einander der Abſtand des Schwingungsmittelpunctes von der Axe, oder der ſo beſtimmte Punct der Schwingungsmittelpunct iſt, der zu jener Axe gehoͤrt.","norm":"Es ist nämlich ein leicht aufzufassender Satz, dass, wenn ein Pendel am oberen Ende aufgehängt Sekunden schlägt, es auch irgendwo gegen das untere Ende hin einen Punkt geben wird, in welchem umgekehrt aufgehängt, es wieder Sekunden schlägt, und dass der Abstand dieser Punkte voneinander der Abstand des Schwingungsmittelpunktes von der Achse, oder der so bestimmte Punkt der Schwingungsmittelpunkt ist, der zu jener Achse 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in der Stellung, welche die Figur zeigt, oder in umgekehrter Stellung, mit EF aufliegend, schwingen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1227,"date":1830,"orig":"Und hier klingt es freilich im erſten Augenblicke unglaublich, wenn man ſagt, daß bei Beſſel's Verſuchen jede einzelne Beobachtungsreihe die Schwingungszeit ſeines Pendels ſelten um ein ganzes Hunderttauſendtel einer Secunde unſicher ließ.","norm":"Und hier klingt es freilich im ersten Augenblicke unglaublich, wenn man sagt, dass bei Bessels Versuchen jede einzelne Beobachtungsreihe die Schwingungszeit seines Pendels selten um ein ganzes Hunderttausendtele einer Sekunde unsicher 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+{"basename":"brandes_naturlehre01_1830","par_idx":1233,"date":1830,"orig":"Dieſe Coincidenzen erfolgen nicht ganz genau in immer gleichen Zwiſchenraͤumen, ſondern da das frei haͤngende Pendel anfangs etwas groͤßere, allmaͤhlig immer kleinere Bogen durchlaͤuft, ſo werden die Schwingungszeiten nach und nach etwas, freilich ſehr wenig, kuͤrzer.","norm":"Diese Koinzidenzen erfolgen nicht ganz genau in immer gleichen Zwischenräumen, sondern da das frei hängende Pendel anfangs etwas größere, allmählich immer kleinere Bogen durchläuft, so werden die Schwingungszeiten nach und nach etwas, freilich sehr wenig, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1234,"date":1830,"orig":"— Doch ich habe wohl genug geſagt, um zu zeigen, daß die Zeit der Schwingungen des Pendels auf dieſe Weiſe ſehr vollkommen beſtimmt war, und doch habe ich mehrere ſorgfaͤltige Vorrichtungen, um dieſen Zweck vollkommen zu erreichen, noch mit Stillſchweigen uͤbergangen.","norm":"— Doch ich habe wohl genug gesagt, um zu zeigen, dass die Zeit der Schwingungen des Pendels auf diese Weise sehr vollkommen bestimmt war, und doch habe ich mehrere sorgfältige Vorrichtungen, um diesen Zweck vollkommen zu erreichen, noch mit Stillschweigen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1235,"date":1830,"orig":"Bei der Abmeſſung der Laͤnge kam es nun vorzuͤglich auf die groͤßeſte Genauigkeit in Beſtimmung des Laͤngen-Unterſchiedes beider Pendel an.","norm":"Bei der Abmessung der Länge kam es nun vorzüglich auf die größte Genauigkeit in Bestimmung des Längen-Unterschiedes beider Pendel 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+{"basename":"brandes_naturlehre01_1830","par_idx":1236,"date":1830,"orig":"Es ward dazu eine von Fortin in Paris verfertigte Toiſe angewandt, die mit dem Normalmaaße der Toise de Perou genau verglichen, und nur um [Formel] einer Linie zu kurz befunden war. —","norm":"Es wurde dazu eine von Forthin in Paris verfertigte Toise angewandt, die mit dem Normalmaße der Toise de Perou genau verglichen, und nur um [Formel] einer Linie zu kurz befunden war . 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+{"basename":"brandes_naturlehre01_1830","par_idx":1237,"date":1830,"orig":"Da ich nachher Gelegenheit haben werde zu ſagen, wie man ſich von einer ſo genauen Uebereinſtimmung uͤberzeugen kann, ſo will ich jetzt bei der Einrichtung des Comparateurs, mit welchem dieſe Maaßvergleichungen angeſtellt werden, nicht verweilen.","norm":"Da ich nachher Gelegenheit haben werde zu sagen, wie man sich von einer so genauen Übereinstimmung überzeugen kann, so will ich jetzt bei der Einrichtung des Comparateurs, mit welchem diese Maßvergleichungen angestellt werden, nicht 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+{"basename":"brandes_naturlehre01_1830","par_idx":1238,"date":1830,"orig":"Dieſe Toiſe wurde, in ihrer Mitte von einer Huͤlfe getragen, vertical aufgehaͤngt, und ſtuͤtzte ſich auf einen genau horizontal abgeſchliffenen Cylinder, den ich die Unterlage nennen will.","norm":"Diese Toise wurde, in ihrer Mitte von einer Hilfe getragen, vertikal aufgehängt, und stützte sich auf einen genau horizontal abgeschliffenen Zylinder, den ich die Unterlage nennen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1239,"date":1830,"orig":"Indem nun die zum Aufhaͤngen des Pendels dienende Vorrichtung ſich ganz genau ebenſo bei den Schwingungen des laͤngern Pendels an die obere Flaͤche der Toiſe, wie bei den Schwingungen des kuͤrzern Pendels an die obere Flaͤche der Unterlage andruͤckte, ſo waren die Hoͤhen der Aufhaͤngepuncte ganz genau um eine Toiſe verſchieden, jedoch mußten die geringen Unterſchiede, welche die Ausdehnung der Toiſe durch die Waͤrme hervorbringt, in Rechnung gezogen werden.","norm":"Indem nun die zum Aufhängen des Pendels dienende Vorrichtung sich ganz genau ebenso bei den Schwingungen des längeren Pendels an die obere Fläche der Toise, wie bei den Schwingungen des kürzeren Pendels an die obere Fläche der Unterlage andrückte, so waren die Höhen der Aufhängepunkte ganz genau um eine Toise verschieden, jedoch mussten die geringen Unterschiede, welche die Ausdehnung der Toise durch die Wärme hervorbringt, in Rechnung gezogen 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wurden, und die feinen Berichtigungen, welche die Rechnung darbot, und begnüge mich das Hauptresultat, dass man die Pendellänge als gewiss auf ein Tausendtele Linie für Königsberg sicher bestimmt ansehen kann, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1263,"date":1830,"orig":"Ich zeichne hier dieſes Fortwaͤlzen ſo, als ob das Rad AH ſich an der untern Seite der graden Linie AE fortwaͤlzte, um die Cycloide ſogleich in der fuͤr unſre Betrachtung noͤthigen Stellung zu erhalten, ſtatt daß wir ſie gewoͤhnlich mit der Woͤlbung nach oben bei der Waͤlzung des Rades entſtehen ſehen.","norm":"Ich zeichne hier dieses Fortwälzen so, als ob das Rad AH sich an der unteren Seite der geraden Linie AE fortwälzte, um die Zykloide sogleich in der für unsere Betrachtung nötigen Stellung zu erhalten, statt dass wir sie gewöhnlich mit der Wölbung nach oben bei der Wälzung des Rades entstehen 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einen Ueberreſt von 30; aber ſie kann in ihrer Richtung nicht fortgehen, ohne auch noch das eine Pfund mit fortzureißen, und die Quantitaͤt der Bewegung = 30, auf die 5 vereinigten Pfunde ausgetheilt, giebt dieſen 6 Fuß Geſchwindigkeit.","norm":"Wenn zwei Kugeln einander in genau entgegengesetzten Richtungen begegnen, die eine von 4 Pfund, die andere von 1 Pfund, jene mit der Geschwindigkeit = 9, diese mit der Geschwindigkeit = 6 Fuß in der Sekunde, so drückt 4. 9 = 36 bei jener 1. 6 = 6 bei dieser die Quantität der Bewegung vor dem Stoße aus, und im Stoße behält die erstere einen Überrest von 30; aber sie kann in ihrer Richtung nicht fortgehen, ohne auch noch das eine Pfund mit fortzureißen, und die Quantität der Bewegung = 30, auf die 5 vereinigten Pfunde ausgeteilt, gibt diesen 6 Fuß 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+{"basename":"brandes_naturlehre01_1830","par_idx":1315,"date":1830,"orig":"Um dieſe Frage zu beantworten, muͤſſen wir den Widerſtand richtig beurtheilen, den der weiche Boden dem Einſinken entgegen ſetzt, und das wollen wir zuerſt an einem Falle verſuchen, wo der Stoß des Rammklotzes ſich noch nicht in die Betrachtung einmiſcht.","norm":"Um diese Frage zu beantworten, müssen wir den Widerstand richtig beurteilen, den der weiche Boden dem Einsinken entgegensetzt, und das wollen wir zuerst an einem Falle versuchen, wo der Stoß des Rammklotzes sich noch nicht in die Betrachtung 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+{"basename":"brandes_naturlehre01_1830","par_idx":1316,"date":1830,"orig":"Es liege eine 2000 Pfund ſchwere Laſt auf einem Boden, der weich genug iſt, um ein Einſinken von 3 Fuß in 1 Minute zu geſtatten, ſo bewirkt der Widerſtand, daß das Herabſinken, welches vermoͤge der frei wirkenden Schwere 54000 Fuß in 1 Minute betragen ſollte, nur 3 Fuß, nur [Formel] jener Groͤße betraͤgt, und jener Widerſtand muß alſo [Formel] der Schwere betragen, da er nur [Formel] der Schwere zur Wirkſamkeit kommen laͤßt.","norm":"Es liege eine 2000 Pfund schwere Last auf einem Boden, der weich genug ist, um ein Einsinken von 3 Fuß in 1 Minute zu gestatten, so bewirkt der Widerstand, dass das Herabsinken, welches vermöge der frei wirkenden Schwere 54000 Fuß in 1 Minute betragen sollte, nur 3 Fuß, nur [Formel] jener Größe beträgt, und jener Widerstand muss also [Formel] der Schwere betragen, da er nur [Formel] der Schwere zur Wirksamkeit kommen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1321,"date":1830,"orig":"Dieſe Hoͤhe von [Formel] oder [Formel] Fuß iſt noͤthig, damit der Widerſtand der Schwere jene Geſchwindigkeit zerſtoͤre, aber ein 2000 mal ſo großer Widerſtand zerſtoͤrt ſie ſchon waͤhrend eines Fortruͤckens von [Formel] Fuß, und der Widerſtand, den die Erde dem weiteren Einrammen leiſtet, iſt alſo 2000 mal ſo groß als die Schwere.","norm":"Diese Höhe von [Formel] oder [Formel] Fuß ist nötig, damit der Widerstand der Schwere jene Geschwindigkeit zerstöre, aber ein 2000 Mal so großer Widerstand zerstört sie schon während eines Fortrückens von [Formel] Fuß, und der Widerstand, den die Erde dem weiteren Einrammen leistet, ist also 2000 Mal so groß als die 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indem sie sich begegnen; aber nachdem die Geschwindigkeiten gänzlich zerstört, dabei aber die Kugeln in einen gewissen Grad der Zusammendrückung gebracht sind, strebt die Kraft der Elastizität, die Kugeln wieder auseinander zu treiben, und da diese Kraft, womit die vorige Gestalt sich herstellt, bei vollkommen elastischen Körpern, so groß ist, als die, welche das Zusammenpressen bewirkte, so erteilt sie beiden Kugeln nach den Richtungen, die ihren ersten Bewegungen entgegengesetzt sind, eben die Geschwindigkeiten wieder, die sie hatten; begegneten sich die Kugeln mit 3 Fuß Geschwindigkeit, so gehen sie nun mit drei Fuß Geschwindigkeit auseinander.","orig_tok":["Zwei","elaſtiſche","Kugeln","von","gleicher","Maſſe","und","gleicher","Geſchwindigkeit","zerſtoͤren","ebenſo","ihre","Geſchwindigkeiten","gegenſeitig",",","indem","ſie","ſich","begegnen",";","aber","nachdem","die","Geſchwindigkeiten","gaͤnzlich","zerſtoͤrt",",","dabei","aber","die","Kugeln","in","einen","gewiſſen","Grad","der","Zuſammendruͤckung","gebracht","ſind",",","ſtrebt","die","Kraft","der","Elaſticitaͤt",",","die","Kugeln","wieder","aus","einander","zu","treiben",",","und","da","dieſe","Kraft",",","womit","die","vorige","Geſtalt","ſich","herſtellt",",","bei","vollkommen","elaſtiſchen","Koͤrpern",",","ſo","groß","iſt",",","als","die",",","welche","das","Zuſammenpreſſen","bewirkte",",","ſo","ertheilt","ſie","beiden","Kugeln","nach","den","Richtungen",",","die","ihren","erſten","Bewegungen","entgegen","geſetzt","ſind",",","eben","die","Geſchwindigkeiten","wieder",",","die","ſie","hatten",";","begegneten","ſich","die","Kugeln","mit","3","Fuß","Geſchwindigkeit",",","ſo","gehen","ſie","nun","mit","drei","Fuß","Geſchwindigkeit","aus","einander","."],"norm_tok":["Zwei","elastische","Kugeln","von","gleicher","Masse","und","gleicher","Geschwindigkeit","zerstören","ebenso","ihre","Geschwindigkeiten","gegenseitig",",","indem","sie","sich","begegnen",";","aber","nachdem","die","Geschwindigkeiten","gänzlich","zerstört",",","dabei","aber","die","Kugeln","in","einen","gewissen","Grad","der","Zusammendrückung","gebracht","sind",",","strebt","die","Kraft","der","Elastizität",",","die","Kugeln","wieder","auseinander","zu","treiben",",","und","da","diese","Kraft",",","womit","die","vorige","Gestalt","sich","herstellt",",","bei","vollkommen","elastischen","Körpern",",","so","groß","ist",",","als","die",",","welche","das","Zusammenpressen","bewirkte",",","so","erteilt","sie","beiden","Kugeln","nach","den","Richtungen",",","die","ihren","ersten","Bewegungen","entgegengesetzt","sind",",","eben","die","Geschwindigkeiten","wieder",",","die","sie","hatten",";","begegneten","sich","die","Kugeln","mit","3","Fuß","Geschwindigkeit",",","so","gehen","sie","nun","mit","drei","Fuß","Geschwindigkeit","auseinander","."],"orig_spans":[[0,4],[5,15],[16,22],[23,26],[27,35],[36,41],[42,45],[46,54],[55,70],[71,81],[82,88],[89,93],[94,111],[112,123],[123,124],[125,130],[131,134],[135,139],[140,148],[148,149],[150,154],[155,162],[163,166],[167,184],[185,194],[195,204],[204,205],[206,211],[212,216],[217,220],[221,227],[228,230],[231,236],[237,245],[246,250],[251,254],[255,272],[273,281],[282,286],[286,287],[288,294],[295,298],[299,304],[305,308],[309,321],[321,322],[323,326],[327,333],[334,340],[341,344],[345,353],[354,356],[357,364],[364,365],[366,369],[370,372],[373,378],[379,384],[384,385],[386,391],[392,395],[396,402],[403,410],[411,415],[416,425],[425,426],[427,430],[431,441],[442,453],[454,462],[462,463],[464,466],[467,471],[472,475],[475,476],[477,480],[481,484],[484,485],[486,492],[493,496],[497,512],[513,521],[521,522],[523,525],[526,534],[535,538],[539,545],[546,552],[553,557],[558,561],[562,572],[572,573],[574,577],[578,583],[584,590],[591,601],[602,610],[611,618],[619,623],[623,624],[625,629],[630,633],[634,651],[652,658],[658,659],[660,663],[664,667],[668,674],[674,675],[676,686],[687,691],[692,695],[696,702],[703,706],[707,708],[709,712],[713,728],[728,729],[730,732],[733,738],[739,742],[743,746],[747,750],[751,755],[756,759],[760,775],[776,779],[780,788],[788,789]],"norm_spans":[[0,4],[5,15],[16,22],[23,26],[27,35],[36,41],[42,45],[46,54],[55,70],[71,80],[81,87],[88,92],[93,110],[111,122],[122,123],[124,129],[130,133],[134,138],[139,147],[147,148],[149,153],[154,161],[162,165],[166,183],[184,192],[193,201],[201,202],[203,208],[209,213],[214,217],[218,224],[225,227],[228,233],[234,242],[243,247],[248,251],[252,268],[269,277],[278,282],[282,283],[284,290],[291,294],[295,300],[301,304],[305,316],[316,317],[318,321],[322,328],[329,335],[336,347],[348,350],[351,358],[358,359],[360,363],[364,366],[367,372],[373,378],[378,379],[380,385],[386,389],[390,396],[397,404],[405,409],[410,419],[419,420],[421,424],[425,435],[436,447],[448,455],[455,456],[457,459],[460,464],[465,468],[468,469],[470,473],[474,477],[477,478],[479,485],[486,489],[490,505],[506,514],[514,515],[516,518],[519,526],[527,530],[531,537],[538,544],[545,549],[550,553],[554,564],[564,565],[566,569],[570,575],[576,582],[583,593],[594,609],[610,614],[614,615],[616,620],[621,624],[625,642],[643,649],[649,650],[651,654],[655,658],[659,665],[665,666],[667,677],[678,682],[683,686],[687,693],[694,697],[698,699],[700,703],[704,719],[719,720],[721,723],[724,729],[730,733],[734,737],[738,741],[742,746],[747,750],[751,766],[767,778],[778,779]],"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]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+{"basename":"brandes_naturlehre01_1830","par_idx":1334,"date":1830,"orig":"Wenn eine ruhende Kugel von einer ebenſo großen Kugel mit der Geſchwindigkeit = 4 Fuß getroffen wird, ſo beſteht die erſte Wirkung des Stoßes darin, daß beide Kugeln die Geſchwindigkeit = 2 Fuß annehmen.","norm":"Wenn eine ruhende Kugel von einer ebenso großen Kugel mit der Geschwindigkeit = 4 Fuß getroffen wird, so besteht die erste Wirkung des Stoßes darin, dass beide Kugeln die Geschwindigkeit = 2 Fuß annehmen.","orig_tok":["Wenn","eine","ruhende","Kugel","von","einer","ebenſo","großen","Kugel","mit","der","Geſchwindigkeit","=","4","Fuß","getroffen","wird",",","ſo","beſteht","die","erſte","Wirkung","des","Stoßes","darin",",","daß","beide","Kugeln","die","Geſchwindigkeit","=","2","Fuß","annehmen","."],"norm_tok":["Wenn","eine","ruhende","Kugel","von","einer","ebenso","großen","Kugel","mit","der","Geschwindigkeit","=","4","Fuß","getroffen","wird",",","so","besteht","die","erste","Wirkung","des","Stoßes","darin",",","dass","beide","Kugeln","die","Geschwindigkeit","=","2","Fuß","annehmen","."],"orig_spans":[[0,4],[5,9],[10,17],[18,23],[24,27],[28,33],[34,40],[41,47],[48,53],[54,57],[58,61],[62,77],[78,79],[80,81],[82,85],[86,95],[96,100],[100,101],[102,104],[105,112],[113,116],[117,122],[123,130],[131,134],[135,141],[142,147],[147,148],[149,152],[153,158],[159,165],[166,169],[170,185],[186,187],[188,189],[190,193],[194,202],[202,203]],"norm_spans":[[0,4],[5,9],[10,17],[18,23],[24,27],[28,33],[34,40],[41,47],[48,53],[54,57],[58,61],[62,77],[78,79],[80,81],[82,85],[86,95],[96,100],[100,101],[102,104],[105,112],[113,116],[117,122],[123,130],[131,134],[135,141],[142,147],[147,148],[149,153],[154,159],[160,166],[167,170],[171,186],[187,188],[189,190],[191,194],[195,203],[203,204]],"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":3.447200059890747} +{"basename":"brandes_naturlehre01_1830","par_idx":1335,"date":1830,"orig":"Sind ſie unelaſtiſch, ſo behalten ſie dieſe Geſchwindigkeit; ſind ſie aber elaſtiſch, ſo bringt die aus einander draͤngende elaſtiſche Kraft bei der einen Kugel einen abermaligen Gewinn von 2 Fuß Geſchwindigkeit hervor, ſo daß ſie mit 4 Fuß Geſchwindigkeit fortgeht, und bei der andern Kugel bringt ſie einen abermaligen Verluſt von 2 Fuß Geſchwindigkeit hervor, ſo daß dieſe ganz zur Ruhe koͤmmt.","norm":"Sind sie unelastisch, so behalten sie diese Geschwindigkeit; sind sie aber elastisch, so bringt die auseinander drängende elastische Kraft bei der einen Kugel einen abermaligen Gewinn von 2 Fuß Geschwindigkeit hervor, so dass sie mit 4 Fuß Geschwindigkeit fortgeht, und bei der anderen Kugel bringt sie einen abermaligen Verlust von 2 Fuß Geschwindigkeit hervor, so dass diese ganz zur Ruhe 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Geſchwindigkeit und ſie wuͤrden ohne Elaſticitaͤt mit 6 Fuß Geſchwindigkeit fortgehen; aber wegen der Elaſticitaͤt gewinnt die vorangehende noch 1 Fuß und die nachfolgende verliert noch einen Fuß, ſo daß jene mit 7 Fuß, dieſe mit 5 Fuß Geſchwindigkeit fortgeht.","norm":"A habe 5 Fuß Geschwindigkeit, B folge ihr mit 7 Fuß Geschwindigkeit; im ersten Zeitraume des Stoßes erlangt jene und verliert diese 1 Fuß Geschwindigkeit und sie würden ohne Elastizität mit 6 Fuß Geschwindigkeit fortgehen; aber wegen der Elastizität gewinnt die vorangehende noch 1 Fuß und die nachfolgende verliert noch einen Fuß, so dass jene mit 7 Fuß, diese mit 5 Fuß Geschwindigkeit 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+{"basename":"brandes_naturlehre01_1830","par_idx":1341,"date":1830,"orig":"Da A 1 Fuß gewinnt, wenn B 2 Fuß an Geſchwindigkeit verliert, ſo wuͤrden beide mit 5 Fuß Geſchwindigkeit fortgehen, wenn ſie unelaſtiſch waͤren; die Elaſticitaͤt verdoppelt jenen Gewinn und verdoppelt dieſen Verluſt, und A geht am Ende des Stoßes mit 6 Fuß, B nur mit 3 Fuß Geſchwindigkeit fort.","norm":"Da A 1 Fuß gewinnt, wenn B 2 Fuß an Geschwindigkeit verliert, so würden beide mit 5 Fuß Geschwindigkeit fortgehen, wenn sie unelastisch wären; die Elastizität verdoppelt jenen Gewinn und verdoppelt diesen Verlust, und A geht am Ende des Stoßes mit 6 Fuß, B nur mit 3 Fuß Geschwindigkeit 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+{"basename":"brandes_naturlehre01_1830","par_idx":1352,"date":1830,"orig":"Der ſchiefe Stoß.","norm":"Der schiefe Stoß.","orig_tok":["Der","ſchiefe","Stoß","."],"norm_tok":["Der","schiefe","Stoß","."],"orig_spans":[[0,3],[4,11],[12,16],[16,17]],"norm_spans":[[0,3],[4,11],[12,16],[16,17]],"alignment":[[0,0],[1,1],[2,2],[3,3]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.4456000328063965} +{"basename":"brandes_naturlehre01_1830","par_idx":1353,"date":1830,"orig":"Alle dieſe Faͤlle gehoͤren zu den einfacheren, wo die Richtung der Bewegung oder der Bewegungen durch beider Kugeln Mittelpuncte geht; aber grade die ſchwierigeren Faͤlle kommen uns haͤufig, zum Beiſpiel beim Billardſpiele, vor.","norm":"Alle diese Fälle gehören zu den einfacheren, wo die Richtung der Bewegung oder der Bewegungen durch beider Kugeln Mittelpunkte geht; aber gerade die schwierigeren Fälle kommen uns häufig, zum Beispiel beim Billardspiele, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1354,"date":1830,"orig":"Daß hier die elaſtiſche Kugel von einer feſten Wand mit eben der Geſchwindigkeit und unter eben dem Winkel, unter welchem ſie antraf, zuruͤckgeworfen wird, iſt leicht zu erklaͤren.","norm":"Dass hier die elastische Kugel von einer festen Wand mit eben der Geschwindigkeit und unter eben dem Winkel, unter welchem sie antraf, zurückgeworfen wird, ist leicht zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1355,"date":1830,"orig":"Trifft die Kugel in ſenkrechter Richtung auf LM (Fig. 70.), ſo ertheilt die Kraft der Elaſticitaͤt ihr genau eben die Geſchwindigkeit wieder, die ſie vorhin hatte; denn die Gewalt, mit welcher ſie zuſammengedruͤckt wurde, raubte die Geſchwindigkeit, die ebenſo große Gewalt, mit welcher die Geſtalt ſich herſtellt, bringt eine ebenſo große neue Geſchwindigkeit hervor.","norm":"Trifft die Kugel in senkrechter Richtung auf LM (Fig. 70.), so erteilt die Kraft der Elastizität ihr genau eben die Geschwindigkeit wieder, die sie vorhin hatte; denn die Gewalt, mit welcher sie zusammengedrückt wurde, raubte die Geschwindigkeit, die ebenso große Gewalt, mit welcher die Gestalt sich herstellt, bringt eine ebenso große neue Geschwindigkeit 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+{"basename":"brandes_naturlehre01_1830","par_idx":1356,"date":1830,"orig":"Iſt die Richtung ſchief geneigt gegen die Ebne LM, ſo koͤnnen wir die Bewegung des Koͤrpers als zuſammengeſetzt aus einer Bewegung ſenkrecht gegen die Ebne und aus einer damit parallel, anſehen, und wenn AB ſein Weg in einer Secunde iſt, ſo behaͤlt er die mit der Ebne LM parallele Geſchwindigkeit, die ihn durch den Raum ab in 1 Secunde fuͤhrt, auch nach dem Stoße, ſo daß er in den einzelnen Secunden ſich neben a, b, c, d, e, f, befindet; aber beim Anſtoßen in d geht die ſenkrechte Geſchwindigkeit in die entgegengeſetzte uͤber, und der Koͤrper entfernt ſich eben ſo von LM, wie er ſich dieſer Ebne vorher naͤherte; er geht daher in der Linie dH zuruͤck, die unter eben dem Winkel HdM = AdL gegen jene Ebne geneigt iſt, wie die Linie, in welcher er ſich vorher bewegte.","norm":"Ist die Richtung schief geneigt gegen die Ebene LM, so können wir die Bewegung des Körpers als zusammengesetzt aus einer Bewegung senkrecht 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+{"basename":"brandes_naturlehre01_1830","par_idx":1357,"date":1830,"orig":"Dieſe Zuruͤckwerfung unter einem, dem Einfallswinkel gleichen Winkel, findet bei feſten elaſtiſchen Koͤrpern ſtatt, aber auch bei der Welle fluͤſſiger Koͤrper, bei der Zuruͤckwerfung der Lichtſtrahlen und der Waͤrmeſtrahlen finden wir eben das wieder.","norm":"Diese Zurückwerfung unter einem, dem Einfallswinkel gleichen Winkel, findet bei festen elastischen Körpern statt, aber auch bei der Welle flüssiger Körper, bei der Zurückwerfung der Lichtstrahlen und der Wärmestrahlen finden wir eben das wieder.","orig_tok":["Dieſe","Zuruͤckwerfung","unter","einem",",","dem","Einfallswinkel","gleichen","Winkel",",","findet","bei","feſten","elaſtiſchen","Koͤrpern","ſtatt",",","aber","auch","bei","der","Welle","fluͤſſiger","Koͤrper",",","bei","der","Zuruͤckwerfung","der","Lichtſtrahlen","und","der","Waͤrmeſtrahlen","finden","wir","eben","das","wieder","."],"norm_tok":["Diese","Zurückwerfung","unter","einem",",","dem","Einfallswinkel","gleichen","Winkel",",","findet","bei","festen","elastischen","Körpern","statt",",","aber","auch","bei","der","Welle","flüssiger","Körper",",","bei","der","Zurückwerfung","der","Lichtstrahlen","und","der","Wärmestrahlen","finden","wir","eben","das","wieder","."],"orig_spans":[[0,5],[6,20],[21,26],[27,32],[32,33],[34,37],[38,52],[53,61],[62,68],[68,69],[70,76],[77,80],[81,87],[88,99],[100,108],[109,114],[114,115],[116,120],[121,125],[126,129],[130,133],[134,139],[140,150],[151,158],[158,159],[160,163],[164,167],[168,182],[183,186],[187,200],[201,204],[205,208],[209,223],[224,230],[231,234],[235,239],[240,243],[244,250],[250,251]],"norm_spans":[[0,5],[6,19],[20,25],[26,31],[31,32],[33,36],[37,51],[52,60],[61,67],[67,68],[69,75],[76,79],[80,86],[87,98],[99,106],[107,112],[112,113],[114,118],[119,123],[124,127],[128,131],[132,137],[138,147],[148,154],[154,155],[156,159],[160,163],[164,177],[178,181],[182,195],[196,199],[200,203],[204,217],[218,224],[225,228],[229,233],[234,237],[238,244],[244,245]],"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":4.284200191497803} +{"basename":"brandes_naturlehre01_1830","par_idx":1358,"date":1830,"orig":"Eben dieſe Betrachtungen beſtimmen die Richtung, wohin die vorher ruhende Kugel im Billardſpiele nach dem Stoße gelangt.","norm":"Eben diese Betrachtungen bestimmen die Richtung, wohin die vorher ruhende Kugel im Billardspiele nach dem Stoße 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+{"basename":"brandes_naturlehre01_1830","par_idx":1359,"date":1830,"orig":"Es ſei (Fig. 71.) A dieſe ruhende Kugel, die von der nach der Richtung DB herankommenden Kugel getroffen wird.","norm":"Es sei (Fig. 71.) A diese ruhende Kugel, die von der nach der Richtung DB herankommenden Kugel getroffen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1360,"date":1830,"orig":"Indem die Kugeln ſich in M beruͤhren, wo LN die gemeinſchaftliche Beruͤhrungslinie beider Kugeln iſt, wird nur die auf LN ſenkrechte Bewegung aufgehalten, die mit LN parallele Bewegung der Kugel B bleibt dagegen ungeſtoͤrt.","norm":"Indem die Kugeln sich in M berühren, wo LN die gemeinschaftliche Berührungslinie beider Kugeln ist, wird nur die auf LN senkrechte Bewegung aufgehalten, die mit LN parallele Bewegung der Kugel B bleibt dagegen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1361,"date":1830,"orig":"Wir wiſſen, daß bei gleichen elaſtiſchen Kugeln ein Vertauſchen der Geſchwindigkeiten eintritt, und dieſes Vertauſchen bezieht ſich hier bloß auf die gegen LN ſenkrechte Geſchwindigkeit, ſo daß, wenn DB den Weg in 1 Secunde, alſo DE das Annaͤhern gegen LN in 1 Secunde angiebt, dieſe Geſchwindigkeit ſich ganz auf A uͤbertraͤgt und fuͤr B verlohren geht.","norm":"Wir wissen, dass bei gleichen elastischen Kugeln ein Vertauschen der Geschwindigkeiten eintritt, und dieses Vertauschen bezieht sich hier bloß auf die gegen LN senkrechte Geschwindigkeit, so dass, wenn DB den Weg in 1 Sekunde, also DE das Annähern gegen LN in 1 Sekunde angibt, diese Geschwindigkeit sich ganz auf A überträgt und für B verloren geht.","orig_tok":["Wir","wiſſen",",","daß","bei","gleichen","elaſtiſchen","Kugeln","ein","Vertauſchen","der","Geſchwindigkeiten","eintritt",",","und","dieſes","Vertauſchen","bezieht","ſich","hier","bloß","auf","die","gegen","LN","ſenkrechte","Geſchwindigkeit",",","ſo","daß",",","wenn","DB","den","Weg","in","1","Secunde",",","alſo","DE","das","Annaͤhern","gegen","LN","in","1","Secunde","angiebt",",","dieſe","Geſchwindigkeit","ſich","ganz","auf","A","uͤbertraͤgt","und","fuͤr","B","verlohren","geht","."],"norm_tok":["Wir","wissen",",","dass","bei","gleichen","elastischen","Kugeln","ein","Vertauschen","der","Geschwindigkeiten","eintritt",",","und","dieses","Vertauschen","bezieht","sich","hier","bloß","auf","die","gegen","LN","senkrechte","Geschwindigkeit",",","so","dass",",","wenn","DB","den","Weg","in","1","Sekunde",",","also","DE","das","Annähern","gegen","LN","in","1","Sekunde","angibt",",","diese","Geschwindigkeit","sich","ganz","auf","A","überträgt","und","für","B","verloren","geht","."],"orig_spans":[[0,3],[4,10],[10,11],[12,15],[16,19],[20,28],[29,40],[41,47],[48,51],[52,63],[64,67],[68,85],[86,94],[94,95],[96,99],[100,106],[107,118],[119,126],[127,131],[132,136],[137,141],[142,145],[146,149],[150,155],[156,158],[159,169],[170,185],[185,186],[187,189],[190,193],[193,194],[195,199],[200,202],[203,206],[207,210],[211,213],[214,215],[216,223],[223,224],[225,229],[230,232],[233,236],[237,246],[247,252],[253,255],[256,258],[259,260],[261,268],[269,276],[276,277],[278,283],[284,299],[300,304],[305,309],[310,313],[314,315],[316,327],[328,331],[332,336],[337,338],[339,348],[349,353],[353,354]],"norm_spans":[[0,3],[4,10],[10,11],[12,16],[17,20],[21,29],[30,41],[42,48],[49,52],[53,64],[65,68],[69,86],[87,95],[95,96],[97,100],[101,107],[108,119],[120,127],[128,132],[133,137],[138,142],[143,146],[147,150],[151,156],[157,159],[160,170],[171,186],[186,187],[188,190],[191,195],[195,196],[197,201],[202,204],[205,208],[209,212],[213,215],[216,217],[218,225],[225,226],[227,231],[232,234],[235,238],[239,247],[248,253],[254,256],[257,259],[260,261],[262,269],[270,276],[276,277],[278,283],[284,299],[300,304],[305,309],[310,313],[314,315],[316,325],[326,329],[330,333],[334,335],[336,344],[345,349],[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],[56,56],[57,57],[58,58],[59,59],[60,60],[61,61],[62,62]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.510000228881836} +{"basename":"brandes_naturlehre01_1830","par_idx":1362,"date":1830,"orig":"Die Kugel B behaͤlt daher allein die mit LN parallele Geſchwindigkeit und kommt in der naͤchſten Secunde nach G, ſo daß BG = EB iſt, die Kugel A dagegen erlangt keine andre, als die auf LN ſenkrechte Geſchwindigkeit und geht nach AF ſo fort, daß ſie in 1 Secunde bis f, wo Af = DE, gelangt.","norm":"Die Kugel B behält daher allein die mit LN parallele Geschwindigkeit und kommt in der nächsten Sekunde nach G, so dass BG = EB ist, die Kugel A dagegen erlangt keine andere, als die auf LN senkrechte Geschwindigkeit und geht nach AF so fort, dass sie in 1 Sekunde bis f, wo Af = DE, gelangt.","orig_tok":["Die","Kugel","B","behaͤlt","daher","allein","die","mit","LN","parallele","Geſchwindigkeit","und","kommt","in","der","naͤchſten","Secunde","nach","G",",","ſo","daß","BG","=","EB","iſt",",","die","Kugel","A","dagegen","erlangt","keine","andre",",","als","die","auf","LN","ſenkrechte","Geſchwindigkeit","und","geht","nach","AF","ſo","fort",",","daß","ſie","in","1","Secunde","bis","f",",","wo","Af","=","DE",",","gelangt","."],"norm_tok":["Die","Kugel","B","behält","daher","allein","die","mit","LN","parallele","Geschwindigkeit","und","kommt","in","der","nächsten","Sekunde","nach","G",",","so","dass","BG","=","EB","ist",",","die","Kugel","A","dagegen","erlangt","keine","andere",",","als","die","auf","LN","senkrechte","Geschwindigkeit","und","geht","nach","AF","so","fort",",","dass","sie","in","1","Sekunde","bis","f",",","wo","Af","=","DE",",","gelangt","."],"orig_spans":[[0,3],[4,9],[10,11],[12,19],[20,25],[26,32],[33,36],[37,40],[41,43],[44,53],[54,69],[70,73],[74,79],[80,82],[83,86],[87,96],[97,104],[105,109],[110,111],[111,112],[113,115],[116,119],[120,122],[123,124],[125,127],[128,131],[131,132],[133,136],[137,142],[143,144],[145,152],[153,160],[161,166],[167,172],[172,173],[174,177],[178,181],[182,185],[186,188],[189,199],[200,215],[216,219],[220,224],[225,229],[230,232],[233,235],[236,240],[240,241],[242,245],[246,249],[250,252],[253,254],[255,262],[263,266],[267,268],[268,269],[270,272],[273,275],[276,277],[278,280],[280,281],[282,289],[289,290]],"norm_spans":[[0,3],[4,9],[10,11],[12,18],[19,24],[25,31],[32,35],[36,39],[40,42],[43,52],[53,68],[69,72],[73,78],[79,81],[82,85],[86,94],[95,102],[103,107],[108,109],[109,110],[111,113],[114,118],[119,121],[122,123],[124,126],[127,130],[130,131],[132,135],[136,141],[142,143],[144,151],[152,159],[160,165],[166,172],[172,173],[174,177],[178,181],[182,185],[186,188],[189,199],[200,215],[216,219],[220,224],[225,229],[230,232],[233,235],[236,240],[240,241],[242,246],[247,250],[251,253],[254,255],[256,263],[264,267],[268,269],[269,270],[271,273],[274,276],[277,278],[279,281],[281,282],[283,290],[290,291]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.155099868774414} +{"basename":"brandes_naturlehre01_1830","par_idx":1363,"date":1830,"orig":"Hierin liegt der Grund, warum man die Kugel A, die nach der Richtung AF gehen ſoll, an der Seite bei M und zwar da treffen muß, wo die Beruͤhrungslinie LN ſenkrecht auf die verlangte Richtung iſt.","norm":"Hierin liegt der Grund, warum man die Kugel A, die nach der Richtung AF gehen soll, an der Seite bei M und zwar da treffen muss, wo die Berührungslinie LN senkrecht auf die verlangte Richtung ist.","orig_tok":["Hierin","liegt","der","Grund",",","warum","man","die","Kugel","A",",","die","nach","der","Richtung","AF","gehen","ſoll",",","an","der","Seite","bei","M","und","zwar","da","treffen","muß",",","wo","die","Beruͤhrungslinie","LN","ſenkrecht","auf","die","verlangte","Richtung","iſt","."],"norm_tok":["Hierin","liegt","der","Grund",",","warum","man","die","Kugel","A",",","die","nach","der","Richtung","AF","gehen","soll",",","an","der","Seite","bei","M","und","zwar","da","treffen","muss",",","wo","die","Berührungslinie","LN","senkrecht","auf","die","verlangte","Richtung","ist","."],"orig_spans":[[0,6],[7,12],[13,16],[17,22],[22,23],[24,29],[30,33],[34,37],[38,43],[44,45],[45,46],[47,50],[51,55],[56,59],[60,68],[69,71],[72,77],[78,82],[82,83],[84,86],[87,90],[91,96],[97,100],[101,102],[103,106],[107,111],[112,114],[115,122],[123,126],[126,127],[128,130],[131,134],[135,151],[152,154],[155,164],[165,168],[169,172],[173,182],[183,191],[192,195],[195,196]],"norm_spans":[[0,6],[7,12],[13,16],[17,22],[22,23],[24,29],[30,33],[34,37],[38,43],[44,45],[45,46],[47,50],[51,55],[56,59],[60,68],[69,71],[72,77],[78,82],[82,83],[84,86],[87,90],[91,96],[97,100],[101,102],[103,106],[107,111],[112,114],[115,122],[123,127],[127,128],[129,131],[132,135],[136,151],[152,154],[155,164],[165,168],[169,172],[173,182],[183,191],[192,195],[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],[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":4.225200176239014} +{"basename":"brandes_naturlehre01_1830","par_idx":1364,"date":1830,"orig":"Die Beſtimmung, daß B nach BG und A nach AF fortgeht, wuͤrde ganz genau ſein, wenn beide Kugeln ohne Rotation fortgingen; aber dies iſt beim Billardſpiele nicht der Fall und ſehr geſchickte Spieler wiſſen die Abweichungen, die dadurch entſtehen, ſehr wohl zu benutzen.","norm":"Die Bestimmung, dass B nach BG und A nach AF fortgeht, würde ganz genau sein, wenn beide Kugeln ohne Rotation fortgingen; aber dies ist beim Billardspiele nicht der Fall und sehr geschickte Spieler wissen die Abweichungen, die dadurch entstehen, sehr wohl zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1365,"date":1830,"orig":"Um von dieſen Abweichungen nur etwas anzufuͤhren, bleibe ich bei den einfachſten Faͤllen ſtehen.","norm":"Um von diesen Abweichungen nur etwas anzuführen, bleibe ich bei den einfachsten Fällen stehen.","orig_tok":["Um","von","dieſen","Abweichungen","nur","etwas","anzufuͤhren",",","bleibe","ich","bei","den","einfachſten","Faͤllen","ſtehen","."],"norm_tok":["Um","von","diesen","Abweichungen","nur","etwas","anzuführen",",","bleibe","ich","bei","den","einfachsten","Fällen","stehen","."],"orig_spans":[[0,2],[3,6],[7,13],[14,26],[27,30],[31,36],[37,48],[48,49],[50,56],[57,60],[61,64],[65,68],[69,80],[81,88],[89,95],[95,96]],"norm_spans":[[0,2],[3,6],[7,13],[14,26],[27,30],[31,36],[37,47],[47,48],[49,55],[56,59],[60,63],[64,67],[68,79],[80,86],[87,93],[93,94]],"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":4.686600208282471} +{"basename":"brandes_naturlehre01_1830","par_idx":1366,"date":1830,"orig":"Wenn eine Kugel grade gegen den Mittelpunct einer gleich großen Kugel geſtoßen wird, ſo ſollte ſie dieſer ihre ganze Geſchwindigkeit ertheilen, und ſelbſt ruhend bleiben; hat ſie aber eine drehende Bewegung, durch welche die obern Theile vorwaͤrts gefuͤhrt werden, ſo wird ſie noch auf der Tafel fort, vorwaͤrts rollen, obgleich die Bewegung des Mittelpuncts ganz gehemmt ſein ſollte, und koͤnnte man ihr eine entgegengeſetzte Bewegung ertheilen, ſo daß die obern Theile beim Rotiren zuruͤckgingen, ſo muͤßte ſie auf der Tafel ruͤckwaͤrts rollen.","norm":"Wenn eine Kugel gerade gegen den Mittelpunkt einer gleich großen Kugel gestoßen wird, so sollte sie dieser ihre ganze Geschwindigkeit erteilen, und selbst ruhend bleiben; hat sie aber eine drehende Bewegung, durch welche die oberen Teile vorwärts geführt werden, so wird sie noch auf der Tafel fort, vorwärts rollen, obgleich die Bewegung des Mittelpunkts ganz gehemmt sein sollte, und könnte man ihr eine entgegengesetzte Bewegung erteilen, so dass die oberen Teile beim Rotieren zurückgingen, so müsste sie auf der Tafel rückwärts 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+{"basename":"brandes_naturlehre01_1830","par_idx":1367,"date":1830,"orig":"Aus einem aͤhnlichen Grunde wird der Winkel beim Zuruͤckprallen nicht immer genau dem Einfallswinkel gleich ſein, ſondern wenn die Rotation ein Hinwaͤrtsgehen nach der Zuruͤckwerfungs-Ebne zu hervorbraͤchte, ſo wird der Winkel zu klein, im entgegengeſetzten Falle zu groß werden.","norm":"Aus einem ähnlichen Grunde wird der Winkel beim Zurückprallen nicht immer genau dem Einfallswinkel gleich sein, sondern wenn die Rotation ein Hinwärtsgehen nach der Zurückwerfungsebene zu hervorbrächte, so wird der Winkel zu klein, im entgegengesetzten Falle zu groß 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+{"basename":"brandes_naturlehre01_1830","par_idx":1368,"date":1830,"orig":"Horizontale Rotationen, das iſt Drehungen um Axen, die ſenkrecht gegen die Tafel ſind, koͤnnen aͤhnliche Erfolge haben.","norm":"Horizontale Rotationen, das ist Drehungen um Achsen, die senkrecht gegen die Tafel sind, können ähnliche Erfolge 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+{"basename":"brandes_naturlehre01_1830","par_idx":1369,"date":1830,"orig":"Wenn man die Lehre vom Stoße auf Koͤrper von andern Geſtalten, oder auch nur auf Kugeln, die ihren Schwerpunct nicht im Mittelpuncte haben, anwenden will, ſo werden die Unterſuchungen faſt immer ſehr ſchwierig.","norm":"Wenn man die Lehre vom Stoße auf Körper von anderen Gestalten, oder auch nur auf Kugeln, die ihren Schwerpunkt nicht im Mittelpunkte haben, anwenden will, so werden die Untersuchungen fast immer sehr schwierig.","orig_tok":["Wenn","man","die","Lehre","vom","Stoße","auf","Koͤrper","von","andern","Geſtalten",",","oder","auch","nur","auf","Kugeln",",","die","ihren","Schwerpunct","nicht","im","Mittelpuncte","haben",",","anwenden","will",",","ſo","werden","die","Unterſuchungen","faſt","immer","ſehr","ſchwierig","."],"norm_tok":["Wenn","man","die","Lehre","vom","Stoße","auf","Körper","von","anderen","Gestalten",",","oder","auch","nur","auf","Kugeln",",","die","ihren","Schwerpunkt","nicht","im","Mittelpunkte","haben",",","anwenden","will",",","so","werden","die","Untersuchungen","fast","immer","sehr","schwierig","."],"orig_spans":[[0,4],[5,8],[9,12],[13,18],[19,22],[23,28],[29,32],[33,40],[41,44],[45,51],[52,61],[61,62],[63,67],[68,72],[73,76],[77,80],[81,87],[87,88],[89,92],[93,98],[99,110],[111,116],[117,119],[120,132],[133,138],[138,139],[140,148],[149,153],[153,154],[155,157],[158,164],[165,168],[169,183],[184,188],[189,194],[195,199],[200,209],[209,210]],"norm_spans":[[0,4],[5,8],[9,12],[13,18],[19,22],[23,28],[29,32],[33,39],[40,43],[44,51],[52,61],[61,62],[63,67],[68,72],[73,76],[77,80],[81,87],[87,88],[89,92],[93,98],[99,110],[111,116],[117,119],[120,132],[133,138],[138,139],[140,148],[149,153],[153,154],[155,157],[158,164],[165,168],[169,183],[184,188],[189,194],[195,199],[200,209],[209,210]],"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":4.718400001525879} +{"basename":"brandes_naturlehre01_1830","par_idx":1370,"date":1830,"orig":"Wenn man gegen eine ruhende Kugel, deren Schwerpunct in A laͤge, nach der Richtung BD ſtieße (Fig. 72.), ſo naͤhme ſie eine rotirende Bewegung an, und die Frage, um welche Axe ſie zu rotiren anfinge, und ob ſie ihre Rotation um dieſe Axe immerwaͤhrend fortſetzen wuͤrde, oder ob die anfaͤnglich als Axe ruhende Linie nachher der Rotation um eine andre Axe weichen wuͤrde, ſcheint mir zu ſchwierig, um ſie hier zu eroͤrtern.","norm":"Wenn man gegen eine ruhende Kugel, deren Schwerpunkt in A läge, nach der Richtung BD stieße (Fig. 72.), so nähme sie eine rotierende Bewegung an, und die Frage, um welche Achse sie zu rotieren anfinge, und ob sie ihre Rotation um diese Achse immerwährend fortsetzen würde, oder ob die anfänglich als Achse ruhende Linie nachher der Rotation um eine andere Achse weichen würde, scheint mir zu schwierig, um sie hier zu 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der Achse, die sich uns in Beziehung auf die Erde an dem Rückgehen der Nachtgleichen zeigen, mit diesen Bewegungen in einer nahen Beziehung 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+{"basename":"brandes_naturlehre01_1830","par_idx":1372,"date":1830,"orig":"Ich endige hiermit die Unterſuchungen uͤber die Bewegung feſter Koͤrper, die freilich noch zu vielfaͤltigen Betrachtungen Anlaß geben koͤnnte, wenn ich mir irgend vorſetzen duͤrfte, dieſe Gegenſtaͤnde zu erſchoͤpfen, von denen ich hier nur das Wichtigſte habe darſtellen koͤnnen.","norm":"Ich endige hiermit die Untersuchungen über die Bewegung fester Körper, die freilich noch zu vielfältigen Betrachtungen Anlass geben könnte, wenn ich mir irgend vorsetzen dürfte, diese Gegenstände zu erschöpfen, von denen ich hier nur das Wichtigste habe darstellen 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H., einen Blick zuruͤckwerfen auf die Kenntniſſe, die ſich in den bisherigen Betrachtungen vor uns entwickelt haben, ſo duͤrfen wir, glaube ich, wohl behaupten, daß eine reiche Erndte wichtiger Belehrungen aus den zuerſt geringfuͤgig ſcheinenden uns zu Anfang gegebenen Beſtimmungen hervor gegangen iſt.","norm":"Wenn wir, m. h. 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stattfinden könne, wir fanden Mittel die Frage zu beantworten, wie stark die anziehende Kraft der Erde auf den Mond, wie stark die anziehende Kraft der Sonne auf die Erde wirke, und indem wir die Beobachtungen mit den Resultaten unserer theoretischen Rechnungen verglichen, entdeckte sich uns das Gesetz der in größeren Abständen abnehmenden allgemeinen Attraktion der 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Gleichgewichts und der Bewegung ſtatt, und es ſcheint hier ſchwerer die Geſetze des Gleichgewichts und der Bewegung zu beſtimmen, da jedes Theilchen des Fluͤſſigen ganz unabhaͤngig von dem andern ſcheint, ſtatt daß bei feſten Koͤrpern nur die Bewegung einiger weniger Puncte beſtimmt zu werden brauchte, und damit die Bewegung aller uͤbrigen zugleich gegeben war.","norm":"Bisher richteten wir nur auf die festen Körper unsere Aufmerksamkeit, aber auch bei flüssigen Körpern findet ein Zustand des Gleichgewichts und der Bewegung statt, und es scheint hier schwerer die Gesetze des Gleichgewichts und der Bewegung zu bestimmen, da jedes Teilchen des Flüssigen ganz unabhängig von dem anderen scheint, statt dass bei festen Körpern nur die Bewegung einiger weniger Punkte bestimmt zu werden brauchte, und damit die Bewegung aller übrigen zugleich gegeben 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Waſſer dagegen, wenn wir von dem, was die Schwere bewirkt, abſehen, dringt mit gleicher Gewalt hervor, der Strahl mag in g oder in f einen Ausgang finden, und das iſt es, was wir gleichmaͤßige Fortpflanzung des Druckes nach allen Seiten nennen.","norm":"Wäre jenes Gefäß mit Sand gefüllt, so würden wir auch bemerken, dass ein Druck bei A auf den Sand, vermittels eines Kolbens ausgeübt, den Sand aus Öffnungen bei f hervortreiben würde, aber gewiss wäre die Menge des bei f herausgedrängten Sandes nur geringe, und bei e weit erheblicher . Wasser dagegen, wenn wir von dem, was die Schwere bewirkt, absehen, dringt mit gleicher Gewalt hervor, der Strahl mag in g oder in f einen Ausgang finden, und das ist es, was wir gleichmäßige Fortpflanzung des Druckes nach allen Seiten nennen.","orig_tok":["Waͤre","jenes","Gefaͤß","mit","Sand","gefuͤllt",",","ſo","wuͤrden","wir","auch","bemerken",",","daß","ein","Druck","bei","A","auf","den","Sand",",","vermittelſt","eines","Kolbens","ausgeuͤbt",",","den","Sand","aus","Oeffnungen","bei","f","hervortreiben","wuͤrde",",","aber","gewiß","waͤre","die","Menge","des","bei","f","herausgedraͤngten","Sandes","nur","geringe",",","und","bei","e","weit","erheblicher",".","Waſſer","dagegen",",","wenn","wir","von","dem",",","was","die","Schwere","bewirkt",",","abſehen",",","dringt","mit","gleicher","Gewalt","hervor",",","der","Strahl","mag","in","g","oder","in","f","einen","Ausgang","finden",",","und","das","iſt","es",",","was","wir","gleichmaͤßige","Fortpflanzung","des","Druckes","nach","allen","Seiten","nennen","."],"norm_tok":["Wäre","jenes","Gefäß","mit","Sand","gefüllt",",","so","würden","wir","auch","bemerken",",","dass","ein","Druck","bei","A","auf","den","Sand",",","vermittels","eines","Kolbens","ausgeübt",",","den","Sand","aus","Öffnungen","bei","f","hervortreiben","würde",",","aber","gewiss","wäre","die","Menge","des","bei","f","herausgedrängten","Sandes","nur","geringe",",","und","bei","e","weit","erheblicher",".","Wasser","dagegen",",","wenn","wir","von","dem",",","was","die","Schwere","bewirkt",",","absehen",",","dringt","mit","gleicher","Gewalt","hervor",",","der","Strahl","mag","in","g","oder","in","f","einen","Ausgang","finden",",","und","das","ist","es",",","was","wir","gleichmäßige","Fortpflanzung","des","Druckes","nach","allen","Seiten","nennen","."],"orig_spans":[[0,5],[6,11],[12,18],[19,22],[23,27],[28,36],[36,37],[38,40],[41,48],[49,52],[53,57],[58,66],[66,67],[68,71],[72,75],[76,81],[82,85],[86,87],[88,91],[92,95],[96,100],[100,101],[102,113],[114,119],[120,127],[128,137],[137,138],[139,142],[143,147],[148,151],[152,162],[163,166],[167,168],[169,182],[183,189],[189,190],[191,195],[196,201],[202,207],[208,211],[212,217],[218,221],[222,225],[226,227],[228,245],[246,252],[253,256],[257,264],[264,265],[266,269],[270,273],[274,275],[276,280],[281,292],[293,294],[295,301],[302,309],[309,310],[311,315],[316,319],[320,323],[324,327],[327,328],[329,332],[333,336],[337,344],[345,352],[352,353],[354,361],[361,362],[363,369],[370,373],[374,382],[383,389],[390,396],[396,397],[398,401],[402,408],[409,412],[413,415],[416,417],[418,422],[423,425],[426,427],[428,433],[434,441],[442,448],[448,449],[450,453],[454,457],[458,461],[462,464],[464,465],[466,469],[470,473],[474,487],[488,501],[502,505],[506,513],[514,518],[519,524],[525,531],[532,538],[538,539]],"norm_spans":[[0,4],[5,10],[11,16],[17,20],[21,25],[26,33],[33,34],[35,37],[38,44],[45,48],[49,53],[54,62],[62,63],[64,68],[69,72],[73,78],[79,82],[83,84],[85,88],[89,92],[93,97],[97,98],[99,109],[110,115],[116,123],[124,132],[132,133],[134,137],[138,142],[143,146],[147,156],[157,160],[161,162],[163,176],[177,182],[182,183],[184,188],[189,195],[196,200],[201,204],[205,210],[211,214],[215,218],[219,220],[221,237],[238,244],[245,248],[249,256],[256,257],[258,261],[262,265],[266,267],[268,272],[273,284],[285,286],[287,293],[294,301],[301,302],[303,307],[308,311],[312,315],[316,319],[319,320],[321,324],[325,328],[329,336],[337,344],[344,345],[346,353],[353,354],[355,361],[362,365],[366,374],[375,381],[382,388],[388,389],[390,393],[394,400],[401,404],[405,407],[408,409],[410,414],[415,417],[418,419],[420,425],[426,433],[434,440],[440,441],[442,445],[446,449],[450,453],[454,456],[456,457],[458,461],[462,465],[466,478],[479,492],[493,496],[497,504],[505,509],[510,515],[516,522],[523,529],[529,530]],"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],[96,96],[97,97],[98,98],[99,99],[100,100],[101,101],[102,102],[103,103]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.606200218200684} +{"basename":"brandes_naturlehre01_1830","par_idx":1390,"date":1830,"orig":"Wie ſehr doch auch der Sand ſich hier von dem, was fluͤſſige Koͤrper ergeben, abweichend zeigt, erhellt aus Huber-Burnaud's Verſuchen Biblioth. univ. 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+{"basename":"brandes_naturlehre01_1830","par_idx":1397,"date":1830,"orig":"Wollten wir naͤmlich eine kleine Luftmaſſe, ſo wie wir einen Tropfen Waſſer hervorheben, in einen luftleeren Raum uͤbertragen, ſo wuͤrde dieſes Theilchen ſich ſogleich ausdehnen, und alſo aufhoͤren, einen Tropfen zu bilden.","norm":"Wollten wir nämlich eine kleine Luftmasse, so wie wir einen Tropfen Wasser hervorheben, in einen luftleeren Raum übertragen, so würde dieses Teilchen sich sogleich ausdehnen, und also aufhören, einen Tropfen zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1400,"date":1830,"orig":"Waſſertropfen rollen uͤber einer mit Staub, am beſten mit Hexenmehl (semen lycopodii), beſtreuten Flaͤche kugelfoͤrmig fort, weil ſie gegen die mit dieſem Pulver bedeckte Flaͤche faſt gar keine Anziehung zeigen.","norm":"Wassertropfen rollen über einer mit Staub, am besten mit Hexenmehl (semen lycopodii), bestreuten Fläche kugelförmig fort, weil sie gegen die mit diesem Pulver bedeckte Fläche fast gar keine Anziehung 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+{"basename":"brandes_naturlehre01_1830","par_idx":1401,"date":1830,"orig":"Ich kehre von dieſer Abſchweifung zu der Betrachtung des durch den fluͤſſigen Koͤrper fortgepflanzten Druckes zuruͤck.","norm":"Ich kehre von dieser Abschweifung zu der Betrachtung des durch den flüssigen Körper fortgepflanzten Druckes zurück.","orig_tok":["Ich","kehre","von","dieſer","Abſchweifung","zu","der","Betrachtung","des","durch","den","fluͤſſigen","Koͤrper","fortgepflanzten","Druckes","zuruͤck","."],"norm_tok":["Ich","kehre","von","dieser","Abschweifung","zu","der","Betrachtung","des","durch","den","flüssigen","Körper","fortgepflanzten","Druckes","zurück","."],"orig_spans":[[0,3],[4,9],[10,13],[14,20],[21,33],[34,36],[37,40],[41,52],[53,56],[57,62],[63,66],[67,77],[78,85],[86,101],[102,109],[110,117],[117,118]],"norm_spans":[[0,3],[4,9],[10,13],[14,20],[21,33],[34,36],[37,40],[41,52],[53,56],[57,62],[63,66],[67,76],[77,83],[84,99],[100,107],[108,114],[114,115]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.489999771118164} +{"basename":"brandes_naturlehre01_1830","par_idx":1402,"date":1830,"orig":"Um hier das genau anzugeben, was ich vorhin, ohne mich genauer zu erklaͤren, den der wirkenden Kraft angemeſſenen Druck nannte, will ich annehmen, die untere Flaͤche des Kolbens A enthalte einen Quadratzoll (Fig. 73.), und bei f ſowohl als bei g ſei eine ebenſo große durch einen Deckel verſchloſſene Oeffnung; dann wird jeder dieſer Deckel mit eben der Kraft hinauswaͤrts gedruͤckt, welche in B auf den Kolben wirkt, und wenn nicht entweder eine eigne Kraft dieſe Deckel feſthaͤlt, oder die Reibung, welche ſie an dem Rande der Oeffnung leiden, groß genug iſt, ſo werden ſie wirklich fortgeſtoßen werden, und dem Waſſer den Ausfluß geſtatten.","norm":"Um hier das genau anzugeben, was ich vorhin, ohne mich genauer zu erklären, den der wirkenden Kraft angemessenen Druck nannte, will ich annehmen, die untere Fläche des Kolbens A enthalte einen Quadratzoll (Fig. 73.), und bei f sowohl als bei g sei eine ebenso große durch einen Deckel verschlossene Öffnung; dann wird jeder dieser Deckel mit eben der Kraft hinauswärts gedrückt, welche in B auf den Kolben wirkt, und wenn nicht entweder eine eigene Kraft diese Deckel festhält, oder die Reibung, welche sie an dem Rande der Öffnung leiden, groß genug ist, so werden sie wirklich fortgestoßen werden, und dem Wasser den Ausfluss 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Kolbens D = 3 Zoll ist, so hat der letztere 144 Mal so viel Oberfläche als der 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+{"basename":"brandes_naturlehre01_1830","par_idx":1421,"date":1830,"orig":"Da nun nach Eytelwein's Verſuchen ein Stuͤck Eichenholz von 1 Zoll breit und 1 Zoll hoch mit 8000 Pfund Kraft in 1 Zoll Entfernung vom Ruhepuncte gebrochen wird, ſo wuͤrde mit jener Kraft ein Stuͤck Eichenholz von 3 Zoll Breite und 2 Zoll Hoͤhe, 4 Zoll vom Unterſtuͤtzungspuncte angegriffen, abgebrochen werden koͤnnen.","norm":"Da nun nach Eytelweins Versuchen ein Stück Eichenholz von 1 Zoll breit und 1 Zoll hoch mit 8000 Pfund Kraft in 1 Zoll Entfernung vom Ruhepunkte gebrochen wird, so würde mit jener Kraft ein Stück Eichenholz von 3 Zoll Breite und 2 Zoll Höhe, 4 Zoll vom Unterstützungspunkte angegriffen, abgebrochen werden 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+{"basename":"brandes_naturlehre01_1830","par_idx":1422,"date":1830,"orig":"Man hat wegen dieſer ſo leicht und ſchnell anzuwendenden großen Gewalt die Waſſerpreſſe angewandt, um die einzelnen Kettenglieder, die zu einer Kettenbruͤcke gebraucht werden ſollen, zu pruͤfen, und um Preſſungen von vielen Centnern zu bewirken u. ſ. w. Daß aber dieſe Waſſerpreſſe mit der groͤßten Sorgfalt gemacht ſein muß, damit kein Waſſer zwiſchen dem Kolben und der Roͤhrenwand durchbringe, verſteht ſich von ſelbſt.","norm":"Man hat wegen dieser so leicht und schnell anzuwendenden großen Gewalt die Wasserpresse angewandt, um die einzelnen Kettenglieder, die zu einer Kettenbrücke gebraucht werden sollen, zu prüfen, und um Pressungen von vielen Zentnern zu bewirken u. s. w. Dass aber diese Wasserpresse mit der größten Sorgfalt gemacht sein muss, damit kein Wasser zwischen dem Kolben und der Röhrenwand durchbringe, versteht sich von 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+{"basename":"brandes_naturlehre01_1830","par_idx":1424,"date":1830,"orig":"Wir wollen uns vorſtellen, man habe abſichtlich dem Cylinder, deſſen Querſchnitt ABCD vorſtellt (Fig. 75.) in B und D eine etwas ſchwaͤchere Stelle gegeben, damit er, wenn er zerriſſe, grade hier zerreiße, ſo laͤßt ſich leicht zeigen, daß der hiezu wirkſame Druck des in der Roͤhre ABCD enthaltenen Waſſers eben ſo groß iſt, als der Druck auf eine ebne Wand FE ſein wuͤrde.","norm":"Wir wollen uns vorstellen, man habe absichtlich dem Zylinder, dessen Querschnitt ABCD vorstellt (Fig. 75.) in B und D eine etwas schwächere Stelle gegeben, damit er, wenn er zerrisse, gerade hier zerreiße, so lässt sich leicht zeigen, dass der hierzu wirksame Druck des in der Röhre ABCD enthaltenen Wassers eben so groß ist, als der Druck auf eine ebne Wand FE sein würde.","orig_tok":["Wir","wollen","uns","vorſtellen",",","man","habe","abſichtlich","dem","Cylinder",",","deſſen","Querſchnitt","ABCD","vorſtellt","(","Fig.","75.",")","in","B","und","D","eine","etwas","ſchwaͤchere","Stelle","gegeben",",","damit","er",",","wenn","er","zerriſſe",",","grade","hier","zerreiße",",","ſo","laͤßt","ſich","leicht","zeigen",",","daß","der","hiezu","wirkſame","Druck","des","in","der","Roͤhre","ABCD","enthaltenen","Waſſers","eben","ſo","groß","iſt",",","als","der","Druck","auf","eine","ebne","Wand","FE","ſein","wuͤrde","."],"norm_tok":["Wir","wollen","uns","vorstellen",",","man","habe","absichtlich","dem","Zylinder",",","dessen","Querschnitt","ABCD","vorstellt","(","Fig",".","75.",")","in","B","und","D","eine","etwas","schwächere","Stelle","gegeben",",","damit","er",",","wenn","er","zerrisse",",","gerade","hier","zerreiße",",","so","lässt","sich","leicht","zeigen",",","dass","der","hierzu","wirksame","Druck","des","in","der","Röhre","ABCD","enthaltenen","Wassers","eben","so","groß","ist",",","als","der","Druck","auf","eine","ebne","Wand","FE","sein","würde","."],"orig_spans":[[0,3],[4,10],[11,14],[15,25],[25,26],[27,30],[31,35],[36,47],[48,51],[52,60],[60,61],[62,68],[69,80],[81,85],[86,95],[96,97],[97,101],[102,105],[105,106],[107,109],[110,111],[112,115],[116,117],[118,122],[123,128],[129,140],[141,147],[148,155],[155,156],[157,162],[163,165],[165,166],[167,171],[172,174],[175,183],[183,184],[185,190],[191,195],[196,204],[204,205],[206,208],[209,214],[215,219],[220,226],[227,233],[233,234],[235,238],[239,242],[243,248],[249,257],[258,263],[264,267],[268,270],[271,274],[275,281],[282,286],[287,298],[299,306],[307,311],[312,314],[315,319],[320,323],[323,324],[325,328],[329,332],[333,338],[339,342],[343,347],[348,352],[353,357],[358,360],[361,365],[366,372],[372,373]],"norm_spans":[[0,3],[4,10],[11,14],[15,25],[25,26],[27,30],[31,35],[36,47],[48,51],[52,60],[60,61],[62,68],[69,80],[81,85],[86,95],[96,97],[97,100],[100,101],[102,105],[105,106],[107,109],[110,111],[112,115],[116,117],[118,122],[123,128],[129,139],[140,146],[147,154],[154,155],[156,161],[162,164],[164,165],[166,170],[171,173],[174,182],[182,183],[184,190],[191,195],[196,204],[204,205],[206,208],[209,214],[215,219],[220,226],[227,233],[233,234],[235,239],[240,243],[244,250],[251,259],[260,265],[266,269],[270,272],[273,276],[277,282],[283,287],[288,299],[300,307],[308,312],[313,315],[316,320],[321,324],[324,325],[326,329],[330,333],[334,339],[340,343],[344,348],[349,353],[354,358],[359,361],[362,366],[367,372],[372,373]],"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],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.822500228881836} +{"basename":"brandes_naturlehre01_1830","par_idx":1425,"date":1830,"orig":"In unſerm vorigen Beiſpiele war fuͤr den weitern Cylinder EF = 3 Zoll, alſo auf jeden Zoll Hoͤhe der Druck ſo groß als auf 3 Quadratzoll des Kolbens, oder wenn der ganze Cylinder 6 Zoll hoch iſt, der ganze Druck ſo groß wie auf 18 Quadratzoll des Kolbens.","norm":"In unserem vorigen Beispiele war für den weiteren Zylinder EF = 3 Zoll, also auf jeden Zoll Höhe der Druck so groß als auf 3 Quadratzoll des Kolbens, oder wenn der ganze Zylinder 6 Zoll hoch ist, der ganze Druck so groß wie auf 18 Quadratzoll des 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+{"basename":"brandes_naturlehre01_1830","par_idx":1426,"date":1830,"orig":"Der Kolben von 3 Zoll Durchmeſſer enthaͤlt etwas uͤber 7 Quadratzoll, und von den 36000 Pfund Druck, die er leidet, kommen alſo etwa 5000 Pfund auf jeden Quadratzoll, 90000 Pfund auf jene 18 Quadratzolle; 90000 Pfund Kraft wirken alſo, um den Cylinder aus einander zu reißen.","norm":"Der Kolben von 3 Zoll Durchmesser enthält etwas über 7 Quadratzoll, und von den 36000 Pfund Druck, die er leidet, kommen also etwa 5000 Pfund auf jeden Quadratzoll, 90000 Pfund auf jene 18 Quadratzolle; 90000 Pfund Kraft wirken also, um den Zylinder auseinander zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1442,"date":1830,"orig":"Liegt der Punct G zehn Fuß tief unter der Oberflaͤche des Waſſers, ſo hat jeder Quadratzoll in dieſer Gegend der Wand einen Druck von ungefehr 5 Pfund auszuhalten.","norm":"Liegt der Punkt G zehn Fuß tief unter der Oberfläche des Wassers, so hat jeder Quadratzoll in dieser Gegend der Wand einen Druck von ungefähr 5 Pfund 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+{"basename":"brandes_naturlehre01_1830","par_idx":1451,"date":1830,"orig":"Wenn mit dieſem Niveau ein Fernrohr PQ ſo verbunden iſt, daß die Axe des Fernrohrs genau horizontal ſteht, wenn ſich die Luftblaſe in der Mitte befindet, ſo dient dieſes, um Puncte, mit der Axe des Fernrohrs gleich hoch, zu beſtimmen.","norm":"Wenn mit diesem Niveau ein Fernrohr PQ so verbunden ist, dass die Achse des Fernrohrs genau horizontal steht, wenn sich die Luftblase in der Mitte befindet, so dient dieses, um Punkte, mit der Achse des Fernrohrs gleich hoch, zu 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freien Zutritte des umgebenden Waſſers ausgeſetzt waͤre, unter Waſſer, und richteten es ſo ein, daß das Queckſilber im andern Schenkel gegen den Druck des Waſſers geſichert waͤre, ſo koͤnnten wir, wenn das Queckſilber bis an D, einen Fuß hoch uͤber C hinaufgetrieben waͤre, ſchließen, daß wir uns 14 Fuß tief unter der Oberflaͤche E des Waſſers befaͤnden.","norm":"Wenn wir uns vorstellen, wir begäben uns mit einer Zweischenklichen Röhre, deren einer Schenkel dem freien Zutritte des umgebenden Wassers ausgesetzt wäre, unter Wasser, und richteten es so ein, dass das Quecksilber im anderen Schenkel gegen den Druck des Wassers gesichert wäre, so könnten wir, wenn das Quecksilber bis an D, einen Fuß hoch über C hinaufgetrieben wäre, schließen, dass wir uns 14 Fuß tief unter der Oberfläche E des Wassers 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+{"basename":"brandes_naturlehre01_1830","par_idx":1463,"date":1830,"orig":"Befinden ſich verſchiedene Fluͤſſigkeiten, die ſich nicht miſchen, in einem Gefaͤße, ſo ordnen ſie ſich in horizontale Schichten und die ſchweren nehmen den untern Platz ein.","norm":"Befinden sich verschiedene Flüssigkeiten, die sich nicht mischen, in einem Gefäße, so ordnen sie sich in horizontale Schichten und die schweren nehmen den unteren Platz 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+{"basename":"brandes_naturlehre01_1830","par_idx":1464,"date":1830,"orig":"Auf dieſem Beſtreben der ſchwerern Fluͤſſigkeiten, den untern Platz einzunehmen, beruht das Experiment, welches man ſcherzhaft, die Kunſt Waſſer in Wein zu verwandeln, zu nennen pflegt.","norm":"Auf diesem Bestreben der schwereren Flüssigkeiten, den unteren Platz einzunehmen, beruht das Experiment, welches man scherzhaft, die Kunst Wasser in Wein zu verwandeln, zu nennen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1465,"date":1830,"orig":"Man bedient ſich dabei eines Gefaͤßes (Fig. 81.), deſſen oberer Theil B mit dem gleich großen untern A durch eine ſehr enge Roͤhre C verbunden iſt; der untere Theil wird mit rothem Weine, der obere mit Waſſer gefuͤllt.","norm":"Man bedient sich dabei eines Gefäßes (Fig. 81.), dessen oberer Teil B mit dem gleich großen unteren A durch eine sehr enge Röhre C verbunden ist; der untere Teil wird mit rotem Weine, der obere mit Wasser 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+{"basename":"brandes_naturlehre01_1830","par_idx":1467,"date":1830,"orig":"Stroͤmungen in der Luft und im Meere.","norm":"Strömungen in der Luft und im Meere.","orig_tok":["Stroͤmungen","in","der","Luft","und","im","Meere","."],"norm_tok":["Strömungen","in","der","Luft","und","im","Meere","."],"orig_spans":[[0,11],[12,14],[15,18],[19,23],[24,27],[28,30],[31,36],[36,37]],"norm_spans":[[0,10],[11,13],[14,17],[18,22],[23,26],[27,29],[30,35],[35,36]],"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":3.6085000038146973} +{"basename":"brandes_naturlehre01_1830","par_idx":1468,"date":1830,"orig":"Da, wo durch andre Umſtaͤnde eine ungleiche Dichtigkeit der Fluͤſſigkeit in derſelben horizontalen Schichte hervorgebracht wird, da kann das Gleichgewicht nicht beſtehen, und hierdurch werden in unzaͤhligen Faͤllen Stroͤmungen hervorgebracht.","norm":"Da, wo durch andere Umstände eine ungleiche 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+{"basename":"brandes_naturlehre01_1830","par_idx":1471,"date":1830,"orig":"Oeffnen wir die Thuͤr eines geheizten Zimmers waͤhrend es außen kalt iſt, ſo fuͤhlen wir den Luftzug im warmen Zimmer kalt an unſere Fuͤße dringen, und wenn wir unſer Geſicht bald hoͤher bald tiefer herab gebuͤckt in die Thuͤr bringen, ſo fuͤhlen wir oben gar nichts von der kalten Luft, die in dem untern Theile der Thuͤr dagegen deſto empfindlicher auf uns eindringt, je tiefer herab wir uns buͤcken, um das Geſicht, als den am meiſten empfindlichen Theil des Koͤrpers, dem Luftſtrome auszuſetzen.","norm":"Öffnen wir die Tür eines geheizten Zimmers während es außen kalt ist, so fühlen wir den Luftzug im warmen Zimmer kalt an unsere Füße dringen, und wenn wir unser Gesicht bald höher bald tiefer herab gebückt in die Tür bringen, so fühlen wir oben gar nichts von der kalten Luft, die in dem unteren Teile der Tür dagegen desto empfindlicher auf uns eindringt, je tiefer herab wir uns bücken, um das Gesicht, als den am 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+{"basename":"brandes_naturlehre01_1830","par_idx":1479,"date":1830,"orig":"Der hieher gehoͤrige Fall iſt folgender.","norm":"Der hierher gehörige Fall ist folgender.","orig_tok":["Der","hieher","gehoͤrige","Fall","iſt","folgender","."],"norm_tok":["Der","hierher","gehörige","Fall","ist","folgender","."],"orig_spans":[[0,3],[4,10],[11,20],[21,25],[26,29],[30,39],[39,40]],"norm_spans":[[0,3],[4,11],[12,20],[21,25],[26,29],[30,39],[39,40]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"da","orig_lang_de":0.667,"norm_lmscore":5.673399925231934} +{"basename":"brandes_naturlehre01_1830","par_idx":1480,"date":1830,"orig":"Wenn nach anhaltend kaltem Wetter die Luft in den Haͤuſern noch kalt iſt, waͤhrend die freie Luft ſich ſchon erwaͤrmt, ſo iſt auch die in den Schornſteinroͤhren befindliche Luft, wofern ſie nicht etwa durch ſehr bedeutendes Heitzen erwaͤrmt wird, kaͤlter, als die freie Luft.","norm":"Wenn nach anhaltend kaltem 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+{"basename":"brandes_naturlehre01_1830","par_idx":1486,"date":1830,"orig":"Setzt man auf die Oeffnung, wo das gewoͤhnliche Ofenrohr in den Schornſtein geht, noch eine Roͤhre von der Weite der gewoͤhnlichen Ofenroͤhren, aber 6 bis 10 Fuß hoch, ſo wird beim Heitzen die darin enthaltene geringe Menge Luft ſchnell durchwaͤrmt, weit ſchneller als es mit der die weite Feuer-Eſſe fuͤllenden Luftmaſſe geſchehen koͤnnte; es entſteht daher in dieſer engen Roͤhre ſogleich, wenigſtens wenn man ein nicht allzu unbedeutendes Feuer angemacht hat, ein ſtarker Luftſtrom aufwaͤrts, der nicht nur das Herausdringen des Rauches in das eben geheitzte Zimmer hindert, ſondern ſelbſt lebhaft genug werden kann, um den entgegengeſetzten Luftſtrom auch in den hoͤhern Theilen des Schornſteines zu uͤberwinden, und in dieſem Falle auch in die uͤbrigen Zimmer keinen Rauch gelangen laͤßt.","norm":"Setzt man auf die Öffnung, wo das gewöhnliche Ofenrohr in den Schornstein geht, noch eine Röhre von der Weite der 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+{"basename":"brandes_naturlehre01_1830","par_idx":1490,"date":1830,"orig":"Der Hauptſtrom der Meere naͤmlich, welcher unter dem Aequator und in den tropiſchen Gegenden von Oſten nach Weſten geht, ſcheint theils von der beſtaͤndig nach dieſer Richtung fortgehenden Fluth, theils von der in oͤſtlichern Gegenden immer etwas groͤßern Erwaͤrmung des Waſſers, theils von dem oͤſtlichen Paſſatwinde herzukommen.","norm":"Der Hauptstrom der Meere nämlich, welcher unter dem Äquator und in den tropischen Gegenden von Osten nach Westen geht, scheint teils von der beständig nach dieser Richtung fortgehenden Flut, teils von der in östlicheren Gegenden immer etwas größeren Erwärmung des Wassers, teils von dem östlichen Passatwinde 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+{"basename":"brandes_naturlehre01_1830","par_idx":1502,"date":1830,"orig":"Wenn man die mittlere Waͤrme, die zu beſtimmter Jahreszeit in Mannheim und in Petersburg ſtatt findet, vergleicht, ſo findet man, daß ſie nie mehr, als im Anfange des Maͤrz, verſchieden iſt, und daß dann der mittlere Unterſchied, nach den Beobachtungen mehrerer Jahre, auf 12 Grade des Reaumur'ſchen Thermometers geht; im Januar und im Anfange des Februar betraͤgt dieſer Unterſchied nur etwa 9 Grade, im April etwa 6 Grade, in den Herbſtmonaten nur 4 bis 5 Grade, im Juli und im Anfange des Auguſt kaum 2 Grade; und ganz dieſen Unterſchieden angemeſſen, ſind die drei letzten Wintermonate weit mehr, als die erſtern, durch kalte Nordoſtwinde ausgezeichnet; der Maͤrz beſonders bringt in ſeinem erſten Drittel faſt immer noch groͤßere Kaͤlte, als der Hoͤhe der Sonne gemaͤß ſcheint, und ſein kalter austrocknender Nordoſtwind iſt uns empfindlicher, als er ſelbſt im Winter zu ſein pflegt.","norm":"Wenn man die mittlere 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+{"basename":"brandes_naturlehre01_1830","par_idx":1504,"date":1830,"orig":"Warum jener Nordoſtwind zugleich austrocknend iſt, und heitern Himmel macht, das gehoͤrt mehr in die Lehre von der Waͤrme und von den Daͤmpfen, und ich will hier nur obenhin bemerken, daß in den Phaͤnomenen der Wolken zuweilen ein oberer warmer Luftſtrom kenntlich zu werden ſcheint, waͤhrend unten dieſer kalte Luftſtrom ſtatt findet, wenigſtens hat die Behauptung viel fuͤr ſich, daß die Schaͤfchenwolken im Fruͤhling, bei anhaltendem kalten Nordoſtwinde und heiterm Himmel, darum Vorboten warmer Witterung ſind, weil ſie anzeigen, daß der in großer Hoͤhe vermuthlich immer im Winter ſtatt findende warme ſuͤdliche Strom anfange, das Uebergewicht zu erlangen und zu niedrigeren Gegenden herabzukommen .","norm":"Warum jener Nordostwind zugleich austrocknend ist, und heiteren Himmel macht, das gehört mehr in die Lehre von der Wärme und von den Dämpfen, und ich will hier nur obenhin bemerken, dass in den Phänomenen der 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Heft.","norm":"Schweiggers Journal 1828 . 3. 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Luft herabstürzt, und nach den eben angegebenen Gesetzen seitwärts 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+{"basename":"brandes_naturlehre01_1830","par_idx":1516,"date":1830,"orig":"Der Grund hiervon iſt leicht zu uͤberſehen.","norm":"Der Grund hiervon ist leicht zu übersehen.","orig_tok":["Der","Grund","hiervon","iſt","leicht","zu","uͤberſehen","."],"norm_tok":["Der","Grund","hiervon","ist","leicht","zu","übersehen","."],"orig_spans":[[0,3],[4,9],[10,17],[18,21],[22,28],[29,31],[32,42],[42,43]],"norm_spans":[[0,3],[4,9],[10,17],[18,21],[22,28],[29,31],[32,41],[41,42]],"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":4.954999923706055} +{"basename":"brandes_naturlehre01_1830","par_idx":1517,"date":1830,"orig":"Der Theil BG, CH des Gefaͤßes naͤmlich leidet einen Druck hinaufwaͤrts, und dieſer hebt grade ſo viel von dem hinabwaͤrts gerichteten Drucke auf, daß nur das wahre Gewicht der Maſſe uͤbrig bleibt.","norm":"Der Teil BG, CH des Gefäßes nämlich leidet einen Druck hinaufwärts, und 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+{"basename":"brandes_naturlehre01_1830","par_idx":1530,"date":1830,"orig":"Man ſchraube ihn ſo herab, daß er ohne das Gefaͤß AB irgend zu beruͤhren ſich in das Waſſer eintaucht, und dieſes alſo zu einer groͤßern Hoͤhe uͤber dem Boden des Gefaͤßes anſteigen macht, ſo reicht nun das in der andern Schale liegende Gewicht nicht mehr zum Gleichgewichte aus, ſondern man muß jetzt ſo viel Gewicht auflegen, als der ganze Waſſercylinder bis zu der Hoͤhe, wo ſich die Oberflaͤche des Waſſers befindet, wiegen wuͤrde.","norm":"Man schraube ihn so herab, dass er ohne das Gefäß AB irgend zu berühren sich in das Wasser eintaucht, und dieses also zu einer größeren Höhe über dem Boden des Gefäßes ansteigen macht, so reicht nun das in der anderen Schale liegende Gewicht nicht mehr zum Gleichgewichte aus, sondern man muss jetzt so viel Gewicht auflegen, als der ganze Wasserzylinder bis zu der Höhe, wo sich die Oberfläche des Wassers befindet, wiegen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1531,"date":1830,"orig":"Iſt alſo der ſolide Cylinder von nicht viel geringerm Durchmeſſer, als die innere Hoͤhlung des Gefaͤßes, ſo kann man eine geringe Quantitaͤt Waſſer bis zu einer großen Hoͤhe in dieſem ſchmalen ringfoͤrmigen Raume hinauftreiben, und den Druck auf die Waageſchalen ſehr vermehren.","norm":"Ist also der solide Zylinder von nicht viel geringerem Durchmesser, als die innere Höhlung des Gefäßes, so kann man eine geringe Quantität Wasser bis zu einer großen Höhe in diesem schmalen ringförmigen Raume hinauftreiben, und den Druck auf die Waageschalen sehr 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+{"basename":"brandes_naturlehre01_1830","par_idx":1532,"date":1830,"orig":"Daß es hier nicht das Gewicht des Cylinders CD iſt, welches auf die Waageſchale druͤckt, davon kann man ſich wohl leicht uͤberzeugen, da dieſes durch den Fuß E vollkommen unterſtuͤtzt wird; es iſt alſo bloß der Druck auf den Boden des Gefaͤßes, dem zwar ein Gegendruck auf den untern Boden des ſoliden Cylinders entgegenſteht, welcher letztere aber auf die Waageſchale keine Wirkung aͤußert.","norm":"Dass es hier nicht das Gewicht des Zylinders CD ist, welches auf die Waageschale drückt, davon kann man sich wohl leicht überzeugen, da dieses durch den Fuß E vollkommen unterstützt wird; es ist also bloß der Druck auf den Boden des Gefäßes, dem zwar ein Gegendruck auf den unteren Boden des soliden Zylinders entgegensteht, welcher letztere aber auf die Waageschale keine Wirkung 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+{"basename":"brandes_naturlehre01_1830","par_idx":1533,"date":1830,"orig":"Anwendungen bei Waſſerbauen und bei Maſchinen.","norm":"Anwendungen bei Wasserbauen und bei Maschinen.","orig_tok":["Anwendungen","bei","Waſſerbauen","und","bei","Maſchinen","."],"norm_tok":["Anwendungen","bei","Wasserbauen","und","bei","Maschinen","."],"orig_spans":[[0,11],[12,15],[16,27],[28,31],[32,35],[36,45],[45,46]],"norm_spans":[[0,11],[12,15],[16,27],[28,31],[32,35],[36,45],[45,46]],"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":5.6168999671936035} +{"basename":"brandes_naturlehre01_1830","par_idx":1534,"date":1830,"orig":"Der maͤchtige Druck, welchen eine hohe Waſſerſaͤule ſelbſt da ausuͤbt, wo ſie nur ſeitwaͤrts her einen Zugang findet, iſt den Waſſerbaumeiſtern ſehr wohl bekannt, und noͤthiget ſie, die aͤußerſte Sorgfalt anzuwenden, daß kein ſolcher Druck ſtatt finden koͤnne.","norm":"Der mächtige Druck, welchen eine hohe Wassersäule selbst da ausübt, wo sie nur seitwärts her einen Zugang findet, ist den Wasserbaumeistern sehr wohl bekannt, und nötiget sie, die äußerste Sorgfalt anzuwenden, dass kein solcher Druck stattfinden 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+{"basename":"brandes_naturlehre01_1830","par_idx":1535,"date":1830,"orig":"Wenn eine Schleuſe entweder das hoͤher ſtehende Waſſer eines Stromes oder des Meeres zuruͤckhalten ſoll, oder wenn ſie zum Durchlaſſen von Schiffen in einem Canale beſtimmt iſt, ſo muß ſie ſehr oft an der einen Seite den Druck eines hoch ſtehenden Waſſers ertragen, waͤhrend an der andern nur eine niedrige Waſſerſaͤule druͤckt; haͤtte ſich nun hier unter dem Schleuſenboden AB (Fig. 87.) ein Zugang fuͤr das Waſſer von C her gefunden, ſo wuͤrde ein 20 Fuß langer Balken AB, wenn das Waſſer in C 10 Fuß hoͤher als in DE ſteht, mit dem Gewichte von 200 Cubicfuß Waſſer, das iſt mit 14000 Pfunden gedruͤckt, und eine 20 Fuß breite Schleuſe wuͤrde auf den ſaͤmmtlichen zwanzig Balken ihres Bodens einen Druck von 280000 Pfunden auszuhalten haben, der gewiß ſehr wohl den Schleuſenboden hinaufwaͤrts draͤngen koͤnnte.","norm":"Wenn eine Schleuse entweder das höher stehende Wasser eines Stromes oder des Meeres zurückhalten 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+{"basename":"brandes_naturlehre01_1830","par_idx":1562,"date":1830,"orig":"Nun ſchraubt man das auf einem beweglichen Fuße unter AB ſtehende Gefaͤß mit Waſſer EF hinauf, ſo daß der Koͤrper AB anfaͤngt ſich einzutauchen, und ſogleich ſinkt die Waageſchale G, oder es zeigt ſich, daß der Koͤrper AB beim Eintauchen etwas an Gewicht verliert.","norm":"Nun schraubt man das auf einem beweglichen Fuße unter AB stehende Gefäß mit Wasser EF hinauf, so dass der Körper AB anfängt sich einzutauchen, und sogleich sinkt die Waageschale G, oder es zeigt sich, dass der Körper AB beim Eintauchen etwas an Gewicht 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+{"basename":"brandes_naturlehre01_1830","par_idx":1563,"date":1830,"orig":"Um dies auszugleichen gießt man etwas Waſſer in das Gefaͤß CD, und faͤhrt damit, indem das Gefaͤß EF weiter gehoben wird, ſo fort wie es das Gleichgewicht fordert.","norm":"Um dies auszugleichen gießt man etwas Wasser in das Gefäß CD, und fährt damit, indem das Gefäß EF weiter gehoben wird, so fort wie es das Gleichgewicht 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+{"basename":"brandes_naturlehre01_1830","par_idx":1564,"date":1830,"orig":"Hat man an dem ſoliden Wuͤrfel Theilungslinien angebracht, um zu ſehen, wann ein Viertel, zwei Viertel, drei Viertel eingetaucht ſind, und zeigen eben ſolche Theilungslinien im Gefaͤße CD an, wie viel Waſſer man hat eingießen muͤſſen, um das Gleichgewicht zu erhalten, ſo findet man, daß immer das Gefaͤß grade ſo weit gefuͤllt iſt, als der Wuͤrfel ſich eingetaucht hat, und daß der hohle Wuͤrfel ganz angefuͤllt iſt, wenn der ſolide Wuͤrfel ganz eingetaucht iſt; — er hat alſo ſo viel an Gewicht verlohren, als die fluͤſſige Maſſe wiegt, deren Platz er einnimmt.","norm":"Hat man an dem soliden Würfel Teilungslinien angebracht, um zu sehen, wann ein Viertel, zwei Viertel, drei Viertel eingetaucht sind, und zeigen eben solche Teilungslinien im Gefäße CD an, wie viel Wasser man hat eingießen müssen, um das Gleichgewicht zu erhalten, so findet man, dass immer das Gefäß gerade so weit gefüllt ist, als der Würfel sich 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+{"basename":"brandes_naturlehre01_1830","par_idx":1566,"date":1830,"orig":"Holz kann im Weingeiſt unterſinken, wenn es gleich im Waſſer ſchwimmt, und auf Queckſilber dagegen haͤlt ſich ein ſo großer Theil des Holzes uͤber der Oberflaͤche des Queckſilbers, daß jenes faſt wie auf einem feſten Boden darauf zu ſtehen ſcheint.","norm":"Holz kann im Weingeist untersinken, wenn es gleich im Wasser schwimmt, und auf Quecksilber dagegen hält sich ein so großer Teil des Holzes über der Oberfläche des Quecksilbers, dass jenes fast wie auf einem festen Boden darauf zu stehen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1567,"date":1830,"orig":"Wiſſen wir daß 10 Cubicfuß Waſſer ungefehr ſo viel wiegen als 11 Cubicfuß Eis, ſo ſchließen wir, daß ein 11 Fuß hohes Eisprisma ſich 10 Fuß tief einſenken und nur 1 Fuß hoch uͤber dem Waſſer bleiben wird, und darauf gruͤnden ſich die Berechnungen der ungeheuern Eismaſſen, die man oft in den Polarmeeren treibend antrifft.","norm":"Wissen wir dass 10 Kubikfuss Wasser ungefähr so viel wiegen als 11 Kubikfuss Eis, so schließen wir, dass ein 11 Fuß hohes Eisprisma sich 10 Fuß tief einsenken und nur 1 Fuß hoch über dem Wasser bleiben wird, und darauf gründen sich die Berechnungen der ungeheuren Eismassen, die man oft in den Polarmeeren treibend 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+{"basename":"brandes_naturlehre01_1830","par_idx":1568,"date":1830,"orig":"Parry ſah in dem merkwuͤrdigen Jahre 1817, wo die im Norden losgeriſſenen ungeheuern Eismaſſen bis nach Cuba, in die heiße Zone, gelangt ſein ſollen, einen 150 Fuß hohen Eisberg auf dem Meere ſchwimmen, und dieſe Eismaſſe mußte alſo unter dem Waſſer zehnmal ſo viel Raum ausfuͤllen, als uͤber dem Waſſer.","norm":"Parry sah in dem merkwürdigen Jahre 1817, wo die im Norden losgerissenen ungeheuren Eismassen bis nach Cuba, in die heiße Zone, gelangt sein sollen, einen 150 Fuß hohen Eisberg auf dem Meere schwimmen, und diese Eismasse musste also unter dem Wasser zehnmal so viel Raum ausfüllen, als über dem 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welches ſie aus der Stelle treiben, wiegen.","norm":"Der menschliche Körper ist in der Regel, solange er von der eingeatmeten Luft nichts von sich lässt, etwas leichter als Wasser und nach Robertsons Bestimmung gibt es Menschen, die wenig über vier Fünftel des Wassers welches sie aus der Stelle treiben, 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richtiger Einsicht ihn 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+{"basename":"brandes_naturlehre01_1830","par_idx":1573,"date":1830,"orig":"Wir ſtrecken gern unſre Arme nach Huͤlfe aus, und ſo glaubt auch der ins Waſſer Gefallene die Arme hervorſtrecken zu muͤſſen; aber da immer nur ein geringer Theil (bei den meiſten Menſchen lange kein Zehntel) des Koͤrpers außer dem Waſſer bleiben kann, ſo ſinkt unfehlbar der Kopf ins Waſſer, wenn man die Arme herausſtreckt, und jedes Hervorheben eines andern Theiles vergroͤßert die Gefahr des Ertrinkens.","norm":"Wir strecken gern unsere Arme nach Hilfe aus, und so glaubt auch der ins Wasser Gefallene die Arme hervorstrecken zu müssen; aber da immer nur ein geringer Teil (bei den meisten Menschen lange kein Zehntel) des Körpers außer dem Wasser bleiben kann, so sinkt unfehlbar der Kopf ins Wasser, wenn man die Arme herausstreckt, und jedes Hervorheben eines anderen Teiles vergrößert die Gefahr des Ertrinkens.","orig_tok":["Wir","ſtrecken","gern","unſre","Arme","nach","Huͤlfe","aus",",","und","ſo","glaubt","auch","der","ins","Waſſer","Gefallene","die","Arme","hervorſtrecken","zu","muͤſſen",";","aber","da","immer","nur","ein","geringer","Theil","(","bei","den","meiſten","Menſchen","lange","kein","Zehntel",")","des","Koͤrpers","außer","dem","Waſſer","bleiben","kann",",","ſo","ſinkt","unfehlbar","der","Kopf","ins","Waſſer",",","wenn","man","die","Arme","herausſtreckt",",","und","jedes","Hervorheben","eines","andern","Theiles","vergroͤßert","die","Gefahr","des","Ertrinkens","."],"norm_tok":["Wir","strecken","gern","unsere","Arme","nach","Hilfe","aus",",","und","so","glaubt","auch","der","ins","Wasser","Gefallene","die","Arme","hervorstrecken","zu","müssen",";","aber","da","immer","nur","ein","geringer","Teil","(","bei","den","meisten","Menschen","lange","kein","Zehntel",")","des","Körpers","außer","dem","Wasser","bleiben","kann",",","so","sinkt","unfehlbar","der","Kopf","ins","Wasser",",","wenn","man","die","Arme","herausstreckt",",","und","jedes","Hervorheben","eines","anderen","Teiles","vergrößert","die","Gefahr","des","Ertrinkens","."],"orig_spans":[[0,3],[4,12],[13,17],[18,23],[24,28],[29,33],[34,40],[41,44],[44,45],[46,49],[50,52],[53,59],[60,64],[65,68],[69,72],[73,79],[80,89],[90,93],[94,98],[99,113],[114,116],[117,124],[124,125],[126,130],[131,133],[134,139],[140,143],[144,147],[148,156],[157,162],[163,164],[164,167],[168,171],[172,179],[180,188],[189,194],[195,199],[200,207],[207,208],[209,212],[213,221],[222,227],[228,231],[232,238],[239,246],[247,251],[251,252],[253,255],[256,261],[262,271],[272,275],[276,280],[281,284],[285,291],[291,292],[293,297],[298,301],[302,305],[306,310],[311,324],[324,325],[326,329],[330,335],[336,347],[348,353],[354,360],[361,368],[369,380],[381,384],[385,391],[392,395],[396,406],[406,407]],"norm_spans":[[0,3],[4,12],[13,17],[18,24],[25,29],[30,34],[35,40],[41,44],[44,45],[46,49],[50,52],[53,59],[60,64],[65,68],[69,72],[73,79],[80,89],[90,93],[94,98],[99,113],[114,116],[117,123],[123,124],[125,129],[130,132],[133,138],[139,142],[143,146],[147,155],[156,160],[161,162],[162,165],[166,169],[170,177],[178,186],[187,192],[193,197],[198,205],[205,206],[207,210],[211,218],[219,224],[225,228],[229,235],[236,243],[244,248],[248,249],[250,252],[253,258],[259,268],[269,272],[273,277],[278,281],[282,288],[288,289],[290,294],[295,298],[299,302],[303,307],[308,321],[321,322],[323,326],[327,332],[333,344],[345,350],[351,358],[359,365],[366,376],[377,380],[381,387],[388,391],[392,402],[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],[67,67],[68,68],[69,69],[70,70],[71,71],[72,72]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.9240999221801762} +{"basename":"brandes_naturlehre01_1830","par_idx":1574,"date":1830,"orig":"Hierin liegt ein Grund, warum bei ploͤtzlichen Ueberſchwemmungen zuweilen Kinder lebend ans Land geſchwemmt werden, waͤhrend Erwachſene, die ſich zu helfen ſuchen, umkommen; jene naͤmlich ſchaden ſich wenigſtens nicht durch unrichtige, in der Angſt angewandte Rettungsmittel.","norm":"Hierin liegt ein Grund, warum bei plötzlichen Überschwemmungen zuweilen Kinder lebend ans Land geschwemmt werden, während Erwachsene, die sich zu helfen suchen, umkommen; jene nämlich schaden sich wenigstens nicht durch unrichtige, in der Angst angewandte 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+{"basename":"brandes_naturlehre01_1830","par_idx":1575,"date":1830,"orig":"Nicholſon erzaͤhlt, daß man einen ins Meer gefallenen Matroſen, der nicht ſchwimmen konnte, und dem man erſt nach einiger Zeit, nach Vorbereitung des Bootes, zu Huͤlfe kommen konnte, einzig dadurch gerettet habe, daß man ihm von Zeit zu Zeit mit dem Sprachrohre zurief, die Haͤnde unter Waſſer zu halten.","norm":"Nicholson erzählt, dass man einen ins Meer gefallenen Matrosen, der nicht schwimmen konnte, und dem man erst nach einiger Zeit, nach Vorbereitung des Bootes, zu Hilfe kommen konnte, einzig dadurch gerettet habe, dass man ihm von Zeit zu Zeit mit dem Sprachrohre zurief, die Hände unter Wasser zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1576,"date":1830,"orig":"— Hierin alſo beſteht der Theil der Schwimmkunſt, der bloß das Schwimmend-Erhalten, das Vermeiden, daß der Koͤrper nicht durch eingeſchlucktes Waſſer ſchwerer als Waſſer werde, betrifft.","norm":"— Hierin also besteht der Teil der Schwimmkunst, der bloß das Schwimmend-Erhalten, das Vermeiden, dass der Körper nicht durch eingeschlucktes Wasser schwerer als Wasser werde, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1589,"date":1830,"orig":"— Wenn man keine Koͤrperchen beſitzt, die nahe genug das ſpecifiſche Gewicht des Waſſers beſitzen, um ſchon bei der Erwaͤrmung unterzuſinken, ſo kann man durch Beimiſchung von Weingeiſt zum Waſſer ihr Unterſinken bewirken, doch dann gehoͤrt das Experiment mehr in die Lehre vom Araͤometer.","norm":"— Wenn man keine Körperchen besitzt, die nahe genug das spezifische Gewicht des Wassers besitzen, um schon bei der Erwärmung unterzusinken, so kann man durch Beimischung von Weingeist zum Wasser ihr Untersinken bewirken, doch dann gehört das Experiment mehr in die Lehre vom 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H., oͤfters das ungleiche ſpecifiſche Gewicht der Koͤrper erwaͤhnt, ohne mich vollſtaͤndig uͤber die Art, wie man es beſtimmt, zu erklaͤren.","norm":"Schon neulich habe ich, m. h. H., öfters das ungleiche spezifische Gewicht der Körper erwähnt, ohne mich vollständig über die Art, wie man es bestimmt, zu erklären.","orig_tok":["Schon","neulich","habe","ich",",","m.","h.","H.",",","oͤfters","das","ungleiche","ſpecifiſche","Gewicht","der","Koͤrper","erwaͤhnt",",","ohne","mich","vollſtaͤndig","uͤber","die","Art",",","wie","man","es","beſtimmt",",","zu","erklaͤren","."],"norm_tok":["Schon","neulich","habe","ich",",","m.","h.","H.",",","öfters","das","ungleiche","spezifische","Gewicht","der","Körper","erwähnt",",","ohne","mich","vollständig","über","die","Art",",","wie","man","es","bestimmt",",","zu","erklären","."],"orig_spans":[[0,5],[6,13],[14,18],[19,22],[22,23],[24,26],[27,29],[30,32],[32,33],[34,41],[42,45],[46,55],[56,67],[68,75],[76,79],[80,87],[88,96],[96,97],[98,102],[103,107],[108,120],[121,126],[127,130],[131,134],[134,135],[136,139],[140,143],[144,146],[147,155],[155,156],[157,159],[160,169],[169,170]],"norm_spans":[[0,5],[6,13],[14,18],[19,22],[22,23],[24,26],[27,29],[30,32],[32,33],[34,40],[41,44],[45,54],[55,66],[67,74],[75,78],[79,85],[86,93],[93,94],[95,99],[100,104],[105,116],[117,121],[122,125],[126,129],[129,130],[131,134],[135,138],[139,141],[142,150],[150,151],[152,154],[155,163],[163,164]],"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":4.616300106048584} +{"basename":"brandes_naturlehre01_1830","par_idx":1593,"date":1830,"orig":"Wir ſagen von einem Koͤrper, er habe ein doppelt ſo großes ſpecifiſches Gewicht, als ein andrer Koͤrper, wenn er bei gleichem Volumen, bei gleicher koͤrperlicher Groͤße, ein doppelt ſo großes abſolutes Gewicht, als jener zweite, hat.","norm":"Wir sagen von einem Körper, er habe ein doppelt so großes spezifisches Gewicht, als ein anderer Körper, wenn er bei gleichem Volumen, bei gleicher körperlicher Größe, ein doppelt so großes absolutes Gewicht, als jener zweite, hat.","orig_tok":["Wir","ſagen","von","einem","Koͤrper",",","er","habe","ein","doppelt","ſo","großes","ſpecifiſches","Gewicht",",","als","ein","andrer","Koͤrper",",","wenn","er","bei","gleichem","Volumen",",","bei","gleicher","koͤrperlicher","Groͤße",",","ein","doppelt","ſo","großes","abſolutes","Gewicht",",","als","jener","zweite",",","hat","."],"norm_tok":["Wir","sagen","von","einem","Körper",",","er","habe","ein","doppelt","so","großes","spezifisches","Gewicht",",","als","ein","anderer","Körper",",","wenn","er","bei","gleichem","Volumen",",","bei","gleicher","körperlicher","Größe",",","ein","doppelt","so","großes","absolutes","Gewicht",",","als","jener","zweite",",","hat","."],"orig_spans":[[0,3],[4,9],[10,13],[14,19],[20,27],[27,28],[29,31],[32,36],[37,40],[41,48],[49,51],[52,58],[59,71],[72,79],[79,80],[81,84],[85,88],[89,95],[96,103],[103,104],[105,109],[110,112],[113,116],[117,125],[126,133],[133,134],[135,138],[139,147],[148,161],[162,168],[168,169],[170,173],[174,181],[182,184],[185,191],[192,201],[202,209],[209,210],[211,214],[215,220],[221,227],[227,228],[229,232],[232,233]],"norm_spans":[[0,3],[4,9],[10,13],[14,19],[20,26],[26,27],[28,30],[31,35],[36,39],[40,47],[48,50],[51,57],[58,70],[71,78],[78,79],[80,83],[84,87],[88,95],[96,102],[102,103],[104,108],[109,111],[112,115],[116,124],[125,132],[132,133],[134,137],[138,146],[147,159],[160,165],[165,166],[167,170],[171,178],[179,181],[182,188],[189,198],[199,206],[206,207],[208,211],[212,217],[218,224],[224,225],[226,229],[229,230]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.60479998588562} +{"basename":"brandes_naturlehre01_1830","par_idx":1594,"date":1830,"orig":"Ein Pariſer Cubicfuß Waſſer, das nahe an der zum Gefrieren noͤthigen Kaͤlte iſt, wiegt 70,014 franz. Pfunde, ein Pariſer Cubicfuß Queckſilber wiegt bei eben der Waͤrme 953,522 franz. Pfunde; das letztere iſt alſo 13,619mal, etwas mehr als 13½mal ſo ſchwer an ſich als Waſſer, und auf aͤhnliche Weiſe faͤnde die Vergleichung in allen Faͤllen ſtatt.","norm":"Ein Pariser Kubikfuss Wasser, das nahe an der zum Gefrieren nötigen Kälte ist, wiegt 70,014 franz. Pfunde, ein Pariser Kubikfuss Quecksilber wiegt bei eben der Wärme 953,522 franz. Pfunde; das letztere ist also 13,619 Mal, etwas mehr als 131/2 Mal so schwer an sich als Wasser, und auf ähnliche Weise fände die Vergleichung in allen Fällen 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schwer als Wasser 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+{"basename":"brandes_naturlehre01_1830","par_idx":1596,"date":1830,"orig":"Um dieſes ſpecifiſche Gewicht, deſſen genaue Kenntniß wir oft beduͤrfen, zu beſtimmen, ſind die Mittel verſchieden, je nachdem man es fuͤr feſte Koͤrper, fuͤr fluͤſſige Koͤrper, fuͤr Koͤrper, die gepulvert ſind u. ſ. w. finden will.","norm":"Um dieses spezifische Gewicht, dessen genaue Kenntnis wir oft bedürfen, zu bestimmen, sind die Mittel verschieden, je nachdem man es für feste Körper, für flüssige Körper, für Körper, die gepulvert sind u. s. w. finden 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+{"basename":"brandes_naturlehre01_1830","par_idx":1597,"date":1830,"orig":"Feſte Koͤrper kann man am beſten an einer feinen Waage abwaͤgen, und beſtimmt den Gewichtverluſt, den ſie in reinem Waſſer leiden.","norm":"Feste Körper kann man am besten an einer feinen Waage abwägen, und bestimmt den Gewichtverlust, den sie in reinem Wasser 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+{"basename":"brandes_naturlehre01_1830","par_idx":1598,"date":1830,"orig":"Das Verfahren iſt ſehr einfach, fordert aber doch, um genau zu ſein, ſehr viele Vorſichtsregeln.","norm":"Das Verfahren ist sehr einfach, fordert aber doch, um genau zu sein, sehr viele 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gewoͤhnlichen Abwaͤgen in der Luft iſt außer der Sorgfalt, mit welcher ſelbſt kleine Gewichtstheile, Theile von Granen, angegeben werden muͤſſen, wenig zu bemerken; aber wenn man nun den Koͤrper in das Waſſer eintaucht, ſo muß man die Temperatur des Waſſers und des Koͤrpers genau kennen, man muß vollkommen reines Waſſer nehmen, man muß aufs ſorgfaͤltigſte jedes Anhaͤngen von Luftblaͤschen vermeiden, und von dem moͤglichſt feinen Faden oder Haare, woran der Koͤrper haͤngt, nur ſo viel als grade noͤthig iſt, mit in das Waſſer eintauchen und den Gewichtverluſt dieſes Theiles in Rechnung bringen.","norm":"Bei dem gewöhnlichen Abwägen in der Luft ist außer der Sorgfalt, mit welcher selbst kleine Gewichtsteile, Teile von Granen, angegeben werden müssen, wenig zu bemerken; aber wenn man nun den Körper in das Wasser eintaucht, so muss man die Temperatur des Wassers und des Körpers genau kennen, man muss vollkommen reines Wasser nehmen, man muss aufs sorgfältigste jedes Anhängen von 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trocken in der Luft ein Gewicht von 400 Gran hat, so wird man das mit dem Kork in Wasser eingetauchte Gefäß nur etwa 100 Gran wiegend finden, und sagen, von den 300 Granen Gewichtsverlust kommen 100 auf das Gefäß, also 200 auf das Stück Kork, oder das vom Kork aus der Stelle getriebene Wasser ist 200 Gran schwer, 4mal so schwer als das Korkstück, dessen spezifisches Gewicht man also auf 0,25 oder auf ¼ setzen 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offenbar, daß man dieſes auch dadurch, daß man ein ſeinem innern Raume nach genau ausgemeſſenes Gefaͤß mit dem Fluͤſſigen fuͤllte, finden kann, indem die Abwaͤgung dann unmittelbar das ergaͤbe, was man zu finden verlangt; aber es iſt bei Waſſer und bei allen fluͤſſigen Materien gar nicht leicht, ein Gefaͤß ſo damit zu fuͤllen, daß dieſe Materie genau, im ſtrengſten Sinne bis an den Rand reiche, indem ſie leicht geneigt iſt, eine gewoͤlbte oder eine hohle Oberflaͤche zu bilden.","norm":"Es ist zwar offenbar, dass man dieses auch dadurch, dass man ein seinem inneren Raume nach genau ausgemessenes Gefäß mit dem Flüssigen füllte, finden kann, indem die Abwägung dann unmittelbar das ergäbe, was man zu finden verlangt; aber es ist bei Wasser und bei allen flüssigen Materien gar nicht leicht, ein Gefäß so damit zu füllen, dass diese Materie genau, im strengsten Sinne bis an den Rand reiche, indem sie leicht geneigt ist, eine gewölbte oder eine hohle Oberfläche zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1611,"date":1830,"orig":"Der in ſo verſchiedenen Fluͤſſigkeiten abzuwaͤgende Koͤrper muß freilich von allen dieſen Fluͤſſigkeiten nicht angegriffen werden.","norm":"Der in so verschiedenen Flüssigkeiten abzuwägende Körper muss freilich von allen diesen Flüssigkeiten nicht angegriffen 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ſpecifiſche Gewicht des Queckſilbers zu finden, iſt es am beſten, es in das oben erwaͤhnte Eimerchen zu thun, und im Waſſer abgewogen, ſo wie einen feſten Koͤrper zu behandeln.","norm":"— Um das spezifische Gewicht des Quecksilbers zu finden, ist es am besten, es in das oben erwähnte Eimerchen zu tun, und im Wasser abgewogen, so wie einen festen Körper zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1613,"date":1830,"orig":"Araͤometer.","norm":"Aräometer.","orig_tok":["Araͤometer","."],"norm_tok":["Aräometer","."],"orig_spans":[[0,10],[10,11]],"norm_spans":[[0,9],[9,10]],"alignment":[[0,0],[1,1]],"lang_fastText":"en","lang_py3langid":"fi","lang_cld3":"eo","orig_lang_de":0,"norm_lmscore":8.963299751281738} +{"basename":"brandes_naturlehre01_1830","par_idx":1614,"date":1830,"orig":"Eine zweite Art, das ſpecifiſche Gewicht feſter ſowohl als fluͤſſiger Koͤrper zu beſtimmen, geben uns die Araͤometer oder Senkwaagen.","norm":"Eine zweite Art, das spezifische Gewicht fester sowohl als flüssiger Körper zu bestimmen, geben uns die Aräometer oder 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+{"basename":"brandes_naturlehre01_1830","par_idx":1615,"date":1830,"orig":"Schwimmende Koͤrper tauchen ſich, wie ich ſchon erwaͤhnt habe, in einer leichtern Fluͤſſigkeit tiefer ein, und wenn man dem ſchwimmenden Koͤrper eine ſolche Geſtalt, wie ABC (Fig. 93.) giebt, ſo iſt dieſe Verſchiedenheit des eingetauchten Volumens an dem duͤnnen Halſe des Koͤrpers, der nun ein Araͤometer heißt, ſehr merklich.","norm":"Schwimmende Körper tauchen sich, wie ich schon erwähnt habe, in einer leichteren Flüssigkeit tiefer ein, und wenn man dem schwimmenden Körper eine solche Gestalt, wie ABC (Fig. 93.) gibt, so ist diese Verschiedenheit des eingetauchten Volumens an dem dünnen Halse des Körpers, der nun ein Aräometer heißt, sehr 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+{"basename":"brandes_naturlehre01_1830","par_idx":1616,"date":1830,"orig":"Wenn man zum Beiſpiel den Theil A 400 Cubiclinien groß machte, und der cylindriſche Theil BC haͤtte eine Quadratlinie Querſchnitt, ſo wuͤrde der Koͤrper ſich um 4 Linien tiefer eintauchen, wenn man ihn in eine um nur ein Hunderttel weniger dichte Fluͤſſigkeit braͤchte.","norm":"Wenn man zum Beispiel den Teil A 400 Cubiclinien groß machte, und der zylindrische Teil BC hätte eine Quadratlinie Querschnitt, so würde der Körper sich um 4 Linien tiefer eintauchen, wenn man ihn in eine um nur ein Hunderttele weniger dichte Flüssigkeit 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+{"basename":"brandes_naturlehre01_1830","par_idx":1617,"date":1830,"orig":"So ſind dieſe Araͤometer ſelbſt dem oberflaͤchlichen Beobachter brauchbar, der mit einem ſchnellen Blicke ſehen will, ob der Weingeiſt, welchen er eben vor ſich hat, mehr oder weniger Waſſer enthalte, ob die Salzſohle mehr oder weniger mit Salz geſaͤttigt ſei u. ſ. w. Aber auch zu den aller genaueſten Verſuchen ſind die Araͤometer tauglich.","norm":"So sind diese Aräometer selbst dem oberflächlichen Beobachter brauchbar, der mit einem schnellen Blicke sehen will, ob der Weingeist, welchen er eben vor sich hat, mehr oder weniger Wasser enthalte, ob die Salzsohle mehr oder weniger mit Salz gesättigt sei u. s. w. Aber auch zu den aller genauesten Versuchen sind die Aräometer 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+{"basename":"brandes_naturlehre01_1830","par_idx":1618,"date":1830,"orig":"Obgleich die Araͤometer auf ſehr mannigfaltige Art eingerichtet ſind, ſo beſteht doch ihre Hauptverſchiedenheit nur darin, daß ſie entweder ganz unveraͤndert in jede gegebne Fluͤſſigkeit eingetaucht werden, wo ſie ſich dann bis zu ungleichen Tiefen einſenken, oder daß ſie bald mit mehr bald mit weniger aufgelegten Gewichten beſchwert, und dadurch in jeder Fluͤſſigkeit bis zu gleicher Tiefe eingeſenkt werden.","norm":"Obgleich die Aräometer auf sehr mannigfaltige Art eingerichtet sind, so besteht doch ihre Hauptverschiedenheit nur darin, dass sie entweder ganz unverändert in jede gegebene Flüssigkeit eingetaucht werden, wo sie sich dann bis zu ungleichen Tiefen einsenken, oder dass sie bald mit mehr bald mit weniger aufgelegten Gewichten beschwert, und dadurch in jeder Flüssigkeit bis zu gleicher Tiefe eingesenkt 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+{"basename":"brandes_naturlehre01_1830","par_idx":1619,"date":1830,"orig":"Die erſte Art von Araͤometern gewaͤhrt die Annehmlichkeit, an der an BC angebrachten Scale ſogleich das zu leſen, was man zu wiſſen verlangt.","norm":"Die erste Art von Aräometern gewährt die Annehmlichkeit, an der an BC angebrachten Scale sogleich das zu lesen, was man zu wissen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1620,"date":1830,"orig":"Sie ſind entweder allgemein auf alle Arten von Fluͤſſigkeiten eingerichtet, und dann giebt die Scale an, wie groß das ſpecifiſche Gewicht des Fluͤſſigen, wo die Eintauchung bis zu einem gewiſſen Puncte geht, in Vergleichung gegen die des Waſſers ſei, oder ſie ſind fuͤr Salzſohlen ins beſondere oder fuͤr Miſchungen von Weingeiſt und Waſſer ſo eingerichtet, daß ſie ſogleich zeigen, wie viel Theile Salz, oder wie viel Theile Weingeiſt ſich in dem Waſſer befinden.","norm":"Sie sind entweder allgemein auf alle Arten von Flüssigkeiten eingerichtet, und dann gibt die Scale an, wie groß das spezifische Gewicht des Flüssigen, wo die Eintauchung bis zu einem gewissen Punkte geht, in Vergleichung gegen die des Wassers sei, oder sie sind für Salzsohlen ins Besondere oder für Mischungen von Weingeist und Wasser so eingerichtet, dass sie sogleich zeigen, wie viel Teile Salz, oder wie viel Teile Weingeist sich in dem Wasser 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+{"basename":"brandes_naturlehre01_1830","par_idx":1621,"date":1830,"orig":"Die mit Scalen verſehenen Araͤometer wuͤrden unbequem werden, wenn ein einziges Araͤometer fuͤr alle fluͤſſige Koͤrper brauchbar ſein ſollte; man pflegt daher mehrere, die eine regelmaͤßige Folge bilden, zu verfertigen, ſo daß bei dem erſten derſelben die Kugel A mit etwas mehr Gewicht, mit Queckſilber oder mit Bleikuͤgelchen, belaſtet iſt, damit es in den ſchwerſten Fluͤſſigkeiten, zum Beiſpiel in Schwefelſaͤure, die beinahe doppelt ſo ſchwer, als Waſſer iſt, nur etwa bis B einſinke; das letzte dagegen muͤßte mit ſo wenig Gewicht belaſtet ſein, daß es ſelbſt im ſtaͤrkſten Schwefelaͤther, der kaum drei Viertel von der ſpecifiſchen Schwere des Waſſers hat, nicht ganz unterſinke.","norm":"Die mit Skalen versehenen Aräometer würden unbequem werden, wenn ein einziges Aräometer für alle flüssige Körper brauchbar sein sollte; man pflegt daher mehrere, die eine regelmäßige Folge bilden, zu verfertigen, so dass bei dem ersten derselben die Kugel A mit etwas mehr Gewicht, mit Quecksilber oder mit Bleikügelchen, belastet ist, damit es in den schwersten Flüssigkeiten, zum Beispiel in Schwefelsäure, die beinahe doppelt so schwer, als Wasser ist, nur etwa bis B einsinke; das letzte dagegen müsste mit so wenig Gewicht belastet sein, dass es selbst im stärksten Schwefeläther, der kaum drei Viertel von der spezifischen Schwere des Wassers hat, nicht ganz 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Reaum., zu ſein pflegt, ſo iſt es am beſten die fluͤſſigen Koͤrper, die man pruͤfen will, ſo wie das Araͤometer ſelbſt, ungefehr bis zu dieſem Waͤrmegrade zu bringen, damit man nicht erſt einer Correction beduͤrfe; — bei recht genauen Verſuchen wird man jedoch dieſe Correction dennoch nicht ganz vermeiden koͤnnen.","norm":"Man muss bei dem Gebrauche dieser Aräometer nicht vergessen, darauf zu achten, für welchen Wärmegrad der Künstler sie eingerichtet hat, und da das gewöhnlich ein mittlerer Wärmegrad, etwa 10 Gr. Reaum ., zu sein pflegt, so ist es am besten die flüssigen Körper, die man prüfen will, so wie das Aräometer selbst, ungefähr bis zu diesem Wärmegrade zu bringen, damit man nicht erst einer Korrektion bedürfe; — bei recht genauen Versuchen wird man jedoch diese Korrektion dennoch nicht ganz vermeiden 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+{"basename":"brandes_naturlehre01_1830","par_idx":1630,"date":1830,"orig":"Das Gewicht aller eben beſchriebenen Theile des Araͤometers iſt ſo gewaͤhlt, daß der Koͤrper AB in Waſſer ſchwimmend noch ziemlich weit uͤber dem Waſſer hervorragt, damit man ein erhebliches Gewicht zulegen muͤſſe, um das Araͤometer bis an das auf dem feinen Stifte aufgezeichnete Merkmal a einzuſenken.","norm":"Das Gewicht aller eben beschriebenen Teile des Aräometers ist so gewählt, dass der Körper AB in Wasser schwimmend noch ziemlich weit über dem Wasser hervorragt, damit man ein erhebliches Gewicht zulegen müsse, um das Aräometer bis an das auf dem feinen Stifte aufgezeichnete Merkmal a einzusenken.","orig_tok":["Das","Gewicht","aller","eben","beſchriebenen","Theile","des","Araͤometers","iſt","ſo","gewaͤhlt",",","daß","der","Koͤrper","AB","in","Waſſer","ſchwimmend","noch","ziemlich","weit","uͤber","dem","Waſſer","hervorragt",",","damit","man","ein","erhebliches","Gewicht","zulegen","muͤſſe",",","um","das","Araͤometer","bis","an","das","auf","dem","feinen","Stifte","aufgezeichnete","Merkmal","a","einzuſenken","."],"norm_tok":["Das","Gewicht","aller","eben","beschriebenen","Teile","des","Aräometers","ist","so","gewählt",",","dass","der","Körper","AB","in","Wasser","schwimmend","noch","ziemlich","weit","über","dem","Wasser","hervorragt",",","damit","man","ein","erhebliches","Gewicht","zulegen","müsse",",","um","das","Aräometer","bis","an","das","auf","dem","feinen","Stifte","aufgezeichnete","Merkmal","a","einzusenken","."],"orig_spans":[[0,3],[4,11],[12,17],[18,22],[23,36],[37,43],[44,47],[48,59],[60,63],[64,66],[67,75],[75,76],[77,80],[81,84],[85,92],[93,95],[96,98],[99,105],[106,116],[117,121],[122,130],[131,135],[136,141],[142,145],[146,152],[153,163],[163,164],[165,170],[171,174],[175,178],[179,190],[191,198],[199,206],[207,213],[213,214],[215,217],[218,221],[222,232],[233,236],[237,239],[240,243],[244,247],[248,251],[252,258],[259,265],[266,280],[281,288],[289,290],[291,302],[302,303]],"norm_spans":[[0,3],[4,11],[12,17],[18,22],[23,36],[37,42],[43,46],[47,57],[58,61],[62,64],[65,72],[72,73],[74,78],[79,82],[83,89],[90,92],[93,95],[96,102],[103,113],[114,118],[119,127],[128,132],[133,137],[138,141],[142,148],[149,159],[159,160],[161,166],[167,170],[171,174],[175,186],[187,194],[195,202],[203,208],[208,209],[210,212],[213,216],[217,226],[227,230],[231,233],[234,237],[238,241],[242,245],[246,252],[253,259],[260,274],[275,282],[283,284],[285,296],[296,297]],"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":4.402500152587891} +{"basename":"brandes_naturlehre01_1830","par_idx":1631,"date":1830,"orig":"Ich will annehmen, dies waͤren 1600 Gran, ſo wird man, um einen Koͤrper genau abzuwaͤgen, dieſen auf die Schale E auflegen und ſo viele Gewichte zulegen, als noch noͤthig ſind, um das Einſenken bis an a zu bewirken.","norm":"Ich will annehmen, dies wären 1600 Gran, so wird man, um einen Körper genau abzuwägen, diesen auf die Schale E auflegen und so viele Gewichte zulegen, als noch nötig sind, um das Einsenken bis an a zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1632,"date":1830,"orig":"Faͤnde man dieſe noch noͤthige Zulage = 629,27 Gran, ſo woͤge der aufgelegte Koͤrper 970,73 Gran.","norm":"Fände man diese noch nötige Zulage = 629,27 Gran, so wöge der aufgelegte Körper 970,73 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Theile eines Granes richtig zu beſtimmen; denn da der Stift nur etwa ¼ Linie dick, ſein Querſchnitt nur ungefehr [Formel] Quadratlinie iſt, ſo ſenkt er ſich um ¼ Linie ein, wenn das Gewicht von [Formel] Cubiclinie Waſſer zugelegt wird, und dieſes Gewicht betraͤgt nur drittehalb Tauſendtel eines Granes.","norm":"Man darf aber in der Tat hoffen, dieses Gewicht bis auf kleine Teile eines Granes richtig zu bestimmen; denn da der Stift nur etwa ¼ Linie dick, sein Querschnitt nur ungefähr [Formel] Quadratlinie ist, so senkt er sich um ¼ Linie ein, wenn das Gewicht von [Formel] Cubiclinie Wasser zugelegt wird, und dieses Gewicht beträgt nur dritthalb Tausendtele eines 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muss.","orig_tok":["Nachdem","man","ihn","naͤmlich","auf","der","Schale","E","liegend","abgewogen","hat",",","bringt","man","ihn","in","das","untere","Gefaͤß","C",",","und","ſieht","nun",",","wie","viele","Gewichtstheile","man","oben","noch","zulegen","muß","."],"norm_tok":["Nachdem","man","ihn","nämlich","auf","der","Schale","E","liegend","abgewogen","hat",",","bringt","man","ihn","in","das","untere","Gefäß","C",",","und","sieht","nun",",","wie","viele","Gewichtsteile","man","oben","noch","zulegen","muss","."],"orig_spans":[[0,7],[8,11],[12,15],[16,24],[25,28],[29,32],[33,39],[40,41],[42,49],[50,59],[60,63],[63,64],[65,71],[72,75],[76,79],[80,82],[83,86],[87,93],[94,100],[101,102],[102,103],[104,107],[108,113],[114,117],[117,118],[119,122],[123,128],[129,143],[144,147],[148,152],[153,157],[158,165],[166,169],[169,170]],"norm_spans":[[0,7],[8,11],[12,15],[16,23],[24,27],[28,31],[32,38],[39,40],[41,48],[49,58],[59,62],[62,63],[64,70],[71,74],[75,78],[79,81],[82,85],[86,92],[93,98],[99,100],[100,101],[102,105],[106,111],[112,115],[115,116],[117,120],[121,126],[127,140],[141,144],[145,149],[150,154],[155,162],[163,167],[167,168]],"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":4.810699939727783} +{"basename":"brandes_naturlehre01_1830","par_idx":1636,"date":1830,"orig":"Bleibe ich bei meinem vorigen Beiſpiele, wo oben 629,27 Gran zugelegt waren, ſo wird, wenn man den Koͤrper unten hinlegt, dieſes Gewicht nicht mehr zureichen, weil er im Waſſer ſoviel weniger wiegt, als er Waſſer aus der Stelle treibt; man legt alſo Gewichte nach, und wenn zum Beiſpiel 80,89 Gran noͤthig ſind, ſo ſagt man der Koͤrper wog 970,73, ebenſo viel Waſſer dem Volumen nach wiegt 80,89, da dies genau der zwoͤlfte Theil von jenem iſt, ſo hat der Koͤrper ein zwoͤlfmal ſo großes ſpecifiſches Gewicht als das Waſſer, deſſen wir uns eben bedienen.","norm":"Bleibe ich bei meinem vorigen Beispiele, wo oben 629,27 Gran zugelegt waren, so wird, wenn man den Körper unten hinlegt, dieses Gewicht nicht mehr zureichen, weil er im Wasser soviel weniger wiegt, als er Wasser aus der Stelle treibt; man legt also Gewichte nach, und wenn zum Beispiel 80,89 Gran nötig sind, so sagt man der Körper wog 970,73, ebenso viel Wasser dem Volumen nach wiegt 80,89, da dies genau der zwölfte Teil von jenem ist, so hat der Körper ein zwölfmal so großes spezifisches Gewicht als das Wasser, dessen wir uns eben 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+{"basename":"brandes_naturlehre01_1830","par_idx":1641,"date":1830,"orig":"So vollkommen aber die Beſtimmungen auch ſind, die man auf dieſem Wege erhalten kann, ſo bleiben doch einige Faͤlle uͤbrig, die große Schwierigkeiten darbieten.","norm":"So vollkommen aber die Bestimmungen auch sind, die man auf diesem Wege erhalten kann, so bleiben doch einige Fälle übrig, die große Schwierigkeiten 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+{"basename":"brandes_naturlehre01_1830","par_idx":1642,"date":1830,"orig":"Dahin gehoͤren die, wo pulverartige Koͤrper, die in Fluͤſſigkeiten entweder aufgeloͤſt werden, oder ſich zum Theil zerſtreuen, oder ſonſt auf irgend eine Weiſe ſich mit ihnen miſchen, zu unterſuchen ſind.","norm":"Dahin gehören die, wo pulverartige Körper, die in Flüssigkeiten entweder aufgelöst werden, oder sich zum Teil zerstreuen, oder sonst auf irgendeine Weise sich mit ihnen mischen, zu untersuchen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1643,"date":1830,"orig":"Fuͤr dieſe hat Leslie ein Inſtrument zu Beſtimmung des ſpecifiſchen Gewichtes angegeben, deſſen Einrichtung ich aber erſt da werde erklaͤren koͤnnen, wo vom Barometer und der Elaſticitaͤt der Luft die Rede ſein wird.","norm":"Für diese hat Leslie ein Instrument zu Bestimmung des spezifischen Gewichtes angegeben, dessen Einrichtung ich aber erst da werde erklären können, wo vom Barometer und der Elastizität der Luft die Rede sein 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+{"basename":"brandes_naturlehre01_1830","par_idx":1644,"date":1830,"orig":"Ich gehe daher jetzt zu dem letzten Gegenſtande der Hydroſtatik, zu der Frage, in welcher Stellung ein Koͤrper ſich ſchwimmend erhaͤlt, und was man beachten muß, um ihm ein ſicheres Gleichgewicht zu geben, uͤber.","norm":"Ich gehe daher jetzt zu dem letzten Gegenstande der Hydrostatik, zu der Frage, in welcher Stellung ein Körper sich schwimmend erhält, und was man beachten muss, um ihm ein sicheres Gleichgewicht zu geben, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1645,"date":1830,"orig":"Gleichgewichtsſtellung ſchwimmender Koͤrper.","norm":"Gleichgewichtsstellung schwimmender Körper.","orig_tok":["Gleichgewichtsſtellung","ſchwimmender","Koͤrper","."],"norm_tok":["Gleichgewichtsstellung","schwimmender","Körper","."],"orig_spans":[[0,22],[23,35],[36,43],[43,44]],"norm_spans":[[0,22],[23,35],[36,42],[42,43]],"alignment":[[0,0],[1,1],[2,2],[3,3]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":6.065199851989746} +{"basename":"brandes_naturlehre01_1830","par_idx":1646,"date":1830,"orig":"Obgleich jeder Koͤrper, der ſpecifiſch leichter iſt, als Waſſer, ſich gewiß, ohne unterzuſinken, auf der Oberflaͤche des Waſſers erhaͤlt, ſo kann er doch offenbar nur dann die ihm gegebne Stellung behalten, wenn erſtlich ein ſolcher Theil eingetaucht iſt, der ebenſoviel Waſſer, als der Koͤrper wiegt, aus der Stelle treibt, und wenn zweitens ſein Schwerpunct nicht tiefer ſinken kann.","norm":"Obgleich jeder Körper, der spezifisch leichter ist, als Wasser, sich gewiss, ohne unterzusinken, auf der Oberfläche des Wassers erhält, so kann er doch offenbar nur dann die ihm gegebene Stellung behalten, wenn erstlich ein solcher Teil eingetaucht ist, der ebenso viel Wasser, als der Körper wiegt, aus der Stelle treibt, und wenn zweitens sein Schwerpunkt nicht tiefer sinken 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+{"basename":"brandes_naturlehre01_1830","par_idx":1647,"date":1830,"orig":"Waͤre ABCD (Fig. 95.) ein Prisma von Kork, das etwa zu ein Viertel ſeines Inhaltes ſich im Waſſer einſenken wird, ſo kann es doch offenbar nicht in der Stellung ABCD ruhen, weil der auf AB wirkende Druck des Waſſers nicht das Herunterſinken des Schwerpunctes G der ganzen Korkmaſſe aufhalten kann.","norm":"Wäre ABCD (Fig. 95.) ein Prisma von Kork, das etwa zu ein Viertel seines Inhaltes sich im Wasser einsenken wird, so kann es doch offenbar nicht in der Stellung ABCD ruhen, weil der auf AB wirkende Druck des Wassers nicht das Heruntersinken des Schwerpunktes G der ganzen Korkmasse aufhalten 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+{"basename":"brandes_naturlehre01_1830","par_idx":1658,"date":1830,"orig":"Hier ſtrebt allerdings der Schwerpunct L zu ſinken, und die in K entgegen wirkende Kraft, die nach KM hinaufwaͤrts gerichtet iſt, kann dieſes nicht hindern; aber beide Kraͤfte wirken vereint dahin, den Koͤrper zu ſeiner anfaͤnglichen Lage zuruͤckzufuͤhren, und hier war alſo die anfaͤngliche Gleichgewichtsſtellung eine Stellung ſicheren Gleichgewichtes, die ſich nach einigen Oſcillationen wieder herſtellt.","norm":"Hier strebt allerdings der Schwerpunkt L zu sinken, und die in K entgegen wirkende Kraft, die nach KM hinaufwärts gerichtet ist, kann dieses nicht hindern; aber beide Kräfte wirken vereint dahin, den Körper zu seiner anfänglichen Lage zurückzuführen, und hier war also die anfängliche Gleichgewichtsstellung eine Stellung sicheren Gleichgewichtes, die sich nach einigen Oszillationen wieder 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+{"basename":"brandes_naturlehre01_1830","par_idx":1660,"date":1830,"orig":"Aber endlich koͤnnte auch, etwa dadurch, daß man den Koͤrper EF auf einer hohen und wenig ſchweren Unterlage hinauf geruͤckt haͤtte, der Schwerpunct L jenſeits K liegen, dann wuͤrde der Koͤrper ſich in der neuen Lage nicht erhalten, ſondern voͤllig umſtuͤrzen.","norm":"Aber endlich könnte auch, etwa dadurch, dass man den Körper EF auf einer hohen und wenig schweren Unterlage hinauf gerückt hätte, der Schwerpunkt L jenseits K liegen, dann würde der Körper sich in der neuen Lage nicht erhalten, sondern völlig 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+{"basename":"brandes_naturlehre01_1830","par_idx":1661,"date":1830,"orig":"Die Sicherheit des Gleichgewichts findet alſo bei nicht zu großen Schwankungen dann ſtatt, wenn der Schwerpunct des ganzen Koͤrpers weniger als der Schwerpunct des eingetauchten Theiles nach der Seite hin ruͤckt, wo die tiefere Eintauchung erfolgt.","norm":"Die Sicherheit des Gleichgewichts findet also bei nicht zu großen Schwankungen dann statt, wenn der Schwerpunkt des ganzen Körpers weniger als der Schwerpunkt des eingetauchten Teiles nach der Seite hin rückt, wo die tiefere Eintauchung 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+{"basename":"brandes_naturlehre01_1830","par_idx":1662,"date":1830,"orig":"Dieſe Betrachtung zeigt genauer, als eine bloß oberflaͤchliche Ueberlegung, warum man einen gewiſſen Theil der Belaſtung der Schiffe tief gegen den unterſten Theil des Bodens hin bringen muß, und warum dies um ſo mehr noͤthig wird, je groͤßer die durch Maſten und Tauwerk hoch hinauf geruͤckte Maſſe wird.","norm":"Diese Betrachtung zeigt genauer, als eine bloß oberflächliche Überlegung, warum man einen gewissen Teil der Belastung der Schiffe tief gegen den untersten Teil des Bodens hinbringen muss, und warum dies um so mehr nötig wird, je größer die durch Masten und Tauwerk hoch hinauf gerückte Masse 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+{"basename":"brandes_naturlehre01_1830","par_idx":1674,"date":1830,"orig":"Dieſe Hoͤhe wird zwar nie ganz erreicht, aber offenbar nur deswegen nicht, weil der Widerſtand der Luft, der bei dem geringen ſpecifiſchen Gewichte des Waſſers und bei der Zertrennung des Strahles in Tropfen ſehr erheblich iſt, den Erfolg nicht ganz ſo ſtatt finden laͤßt, wie er ohne Einwirkung dieſes Hinderniſſes ſein ſollte.","norm":"Diese Höhe wird zwar nie ganz erreicht, aber offenbar nur deswegen nicht, weil der Widerstand der Luft, der bei dem geringen spezifischen Gewichte des Wassers und bei der Zertrennung des Strahles in Tropfen sehr erheblich ist, den Erfolg nicht ganz so stattfinden lässt, wie er ohne Einwirkung dieses Hindernisses sein sollte.","orig_tok":["Dieſe","Hoͤhe","wird","zwar","nie","ganz","erreicht",",","aber","offenbar","nur","deswegen","nicht",",","weil","der","Widerſtand","der","Luft",",","der","bei","dem","geringen","ſpecifiſchen","Gewichte","des","Waſſers","und","bei","der","Zertrennung","des","Strahles","in","Tropfen","ſehr","erheblich","iſt",",","den","Erfolg","nicht","ganz","ſo","ſtatt","finden","laͤßt",",","wie","er","ohne","Einwirkung","dieſes","Hinderniſſes","ſein","ſollte","."],"norm_tok":["Diese","Höhe","wird","zwar","nie","ganz","erreicht",",","aber","offenbar","nur","deswegen","nicht",",","weil","der","Widerstand","der","Luft",",","der","bei","dem","geringen","spezifischen","Gewichte","des","Wassers","und","bei","der","Zertrennung","des","Strahles","in","Tropfen","sehr","erheblich","ist",",","den","Erfolg","nicht","ganz","so","stattfinden","lässt",",","wie","er","ohne","Einwirkung","dieses","Hindernisses","sein","sollte","."],"orig_spans":[[0,5],[6,11],[12,16],[17,21],[22,25],[26,30],[31,39],[39,40],[41,45],[46,54],[55,58],[59,67],[68,73],[73,74],[75,79],[80,83],[84,94],[95,98],[99,103],[103,104],[105,108],[109,112],[113,116],[117,125],[126,138],[139,147],[148,151],[152,159],[160,163],[164,167],[168,171],[172,183],[184,187],[188,196],[197,199],[200,207],[208,212],[213,222],[223,226],[226,227],[228,231],[232,238],[239,244],[245,249],[250,252],[253,258],[259,265],[266,271],[271,272],[273,276],[277,279],[280,284],[285,295],[296,302],[303,315],[316,320],[321,327],[327,328]],"norm_spans":[[0,5],[6,10],[11,15],[16,20],[21,24],[25,29],[30,38],[38,39],[40,44],[45,53],[54,57],[58,66],[67,72],[72,73],[74,78],[79,82],[83,93],[94,97],[98,102],[102,103],[104,107],[108,111],[112,115],[116,124],[125,137],[138,146],[147,150],[151,158],[159,162],[163,166],[167,170],[171,182],[183,186],[187,195],[196,198],[199,206],[207,211],[212,221],[222,225],[225,226],[227,230],[231,237],[238,243],[244,248],[249,251],[252,263],[264,269],[269,270],[271,274],[275,277],[278,282],[283,293],[294,300],[301,313],[314,318],[319,325],[325,326]],"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],[46,45],[47,46],[48,47],[49,48],[50,49],[51,50],[52,51],[53,52],[54,53],[55,54],[56,55],[57,56]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.073200225830078} +{"basename":"brandes_naturlehre01_1830","par_idx":1675,"date":1830,"orig":"Dieſe Erfahrung giebt uns die Geſchwindigkeit an, mit welcher das Waſſer aus der Oeffnung hervordringt; denn wir wiſſen, daß ein Koͤrper, um, aufwaͤrts geworfen, eine gewiſſe Hoͤhe zu erreichen, mit eben der Geſchwindigkeit geworfen werden muß, die er bei ebenſo tiefem freiem Falle erreicht haͤtte.","norm":"Diese Erfahrung gibt uns die Geschwindigkeit an, mit welcher das Wasser aus der Öffnung hervordringt; denn wir wissen, dass ein Körper, um, aufwärts geworfen, eine gewisse Höhe zu erreichen, mit eben der Geschwindigkeit geworfen werden muss, die er bei ebenso tiefem freiem Falle erreicht 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+{"basename":"brandes_naturlehre01_1830","par_idx":1676,"date":1830,"orig":"Das Waſſer dringt alſo aus einer Oeffnung mit derjenigen Geſchwindigkeit, die ein Koͤrper frei fallend erlangt, wenn er von einer Hoͤhe, der Hoͤhe der druͤckenden Waſſermaſſe gleich, herabfaͤllt.","norm":"Das Wasser dringt also aus einer Öffnung mit derjenigen Geschwindigkeit, die ein Körper frei fallend erlangt, wenn er von einer Höhe, der Höhe der drückenden Wassermasse gleich, herabfällt.","orig_tok":["Das","Waſſer","dringt","alſo","aus","einer","Oeffnung","mit","derjenigen","Geſchwindigkeit",",","die","ein","Koͤrper","frei","fallend","erlangt",",","wenn","er","von","einer","Hoͤhe",",","der","Hoͤhe","der","druͤckenden","Waſſermaſſe","gleich",",","herabfaͤllt","."],"norm_tok":["Das","Wasser","dringt","also","aus","einer","Öffnung","mit","derjenigen","Geschwindigkeit",",","die","ein","Körper","frei","fallend","erlangt",",","wenn","er","von","einer","Höhe",",","der","Höhe","der","drückenden","Wassermasse","gleich",",","herabfällt","."],"orig_spans":[[0,3],[4,10],[11,17],[18,22],[23,26],[27,32],[33,41],[42,45],[46,56],[57,72],[72,73],[74,77],[78,81],[82,89],[90,94],[95,102],[103,110],[110,111],[112,116],[117,119],[120,123],[124,129],[130,135],[135,136],[137,140],[141,146],[147,150],[151,162],[163,174],[175,181],[181,182],[183,194],[194,195]],"norm_spans":[[0,3],[4,10],[11,17],[18,22],[23,26],[27,32],[33,40],[41,44],[45,55],[56,71],[71,72],[73,76],[77,80],[81,87],[88,92],[93,100],[101,108],[108,109],[110,114],[115,117],[118,121],[122,127],[128,132],[132,133],[134,137],[138,142],[143,146],[147,157],[158,169],[170,176],[176,177],[178,188],[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":4.218900203704834} +{"basename":"brandes_naturlehre01_1830","par_idx":1677,"date":1830,"orig":"Dieſe Regel laͤßt ſich leicht auch da anwenden, wo es nicht eine Waſſermaſſe allein, ſondern wo es ein fremder Druck iſt, der das Waſſer zum Springen bringt.","norm":"Diese Regel lässt sich leicht auch da anwenden, wo es nicht eine Wassermasse allein, sondern wo es ein fremder Druck ist, der das Wasser zum Springen bringt.","orig_tok":["Dieſe","Regel","laͤßt","ſich","leicht","auch","da","anwenden",",","wo","es","nicht","eine","Waſſermaſſe","allein",",","ſondern","wo","es","ein","fremder","Druck","iſt",",","der","das","Waſſer","zum","Springen","bringt","."],"norm_tok":["Diese","Regel","lässt","sich","leicht","auch","da","anwenden",",","wo","es","nicht","eine","Wassermasse","allein",",","sondern","wo","es","ein","fremder","Druck","ist",",","der","das","Wasser","zum","Springen","bringt","."],"orig_spans":[[0,5],[6,11],[12,17],[18,22],[23,29],[30,34],[35,37],[38,46],[46,47],[48,50],[51,53],[54,59],[60,64],[65,76],[77,83],[83,84],[85,92],[93,95],[96,98],[99,102],[103,110],[111,116],[117,120],[120,121],[122,125],[126,129],[130,136],[137,140],[141,149],[150,156],[156,157]],"norm_spans":[[0,5],[6,11],[12,17],[18,22],[23,29],[30,34],[35,37],[38,46],[46,47],[48,50],[51,53],[54,59],[60,64],[65,76],[77,83],[83,84],[85,92],[93,95],[96,98],[99,102],[103,110],[111,116],[117,120],[120,121],[122,125],[126,129],[130,136],[137,140],[141,149],[150,156],[156,157]],"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":4.011600017547607} +{"basename":"brandes_naturlehre01_1830","par_idx":1678,"date":1830,"orig":"Wenn wir fordern, daß unſre Feuerſpritzen das Waſſer 80 Fuß hoch treiben ſollen, ſo muͤſſen wir einen Druck, der 80 Fuß Waſſerhoͤhe gleich gilt, anwenden, um dies zu bewirken, und noch etwas mehr, wegen der Verminderung der Sprunghoͤhe, die ich ſchon bemerkt habe; dieſen Druck laſſen wir auf die Waſſer-Oberflaͤche in dem weiteren Cylinder der Feuerſpritze wirken, und wenn dieſer alſo einen halben Quadratfuß Querſchnitt haͤtte, ſo muß der Druck der an der Spritze arbeitenden Menſchen den Druck von 40 Cubicfuß Waſſer erſetzen oder, durch einen laͤngern Hebel-Arm gehoͤrig verſtaͤrkt, 2800 Pfund betragen.","norm":"Wenn wir fordern, dass unsere Feuerspritzen das Wasser 80 Fuß hochtreiben sollen, so müssen wir einen Druck, der 80 Fuß Wasserhöhe gleich gilt, anwenden, um dies zu bewirken, und noch etwas mehr, wegen der Verminderung der Sprunghöhe, die ich schon bemerkt habe; diesen Druck lassen wir auf die Wasseroberfläche in dem weiteren Zylinder der Feuerspritze wirken, und wenn dieser also einen halben Quadratfuß Querschnitt hätte, so muss der Druck der an der Spritze arbeitenden Menschen den Druck von 40 Kubikfuss Wasser ersetzen oder, durch einen längeren Hebelarm gehörig verstärkt, 2800 Pfund 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+{"basename":"brandes_naturlehre01_1830","par_idx":1679,"date":1830,"orig":"Damit der Strahl jene Hoͤhe erreiche, muß er mit einer Geſchwindigkeit von beinahe 70 Fuß in 1 Secunde aus der Muͤndung der Roͤhre hervordringen, und man kann daher der Roͤhre nur einen Querſchnitt von einem halben Quadratzoll geben, wenn der fortgedruͤckte Kolben in der weiten Roͤhre einen halben Fuß in der Secunde durchlaͤuft, denn die hervorgetriebne Waſſermaſſe muß derjenigen gleich ſein, die der fortgeſchobne Kolben aus der Stelle treibt.","norm":"Damit der Strahl jene Höhe erreiche, muss er mit einer Geschwindigkeit von beinahe 70 Fuß in 1 Sekunde aus der Mündung der Röhre hervordringen, und man kann daher der Röhre nur einen Querschnitt von einem halben Quadratzoll geben, wenn der fortgedrückte Kolben in der weiten Röhre einen halben Fuß in der Sekunde durchläuft, denn die hervorgetriebene Wassermasse muss derjenigen gleich sein, die der fortgeschobene Kolben aus der Stelle treibt.","orig_tok":["Damit","der","Strahl","jene","Hoͤhe","erreiche",",","muß","er","mit","einer","Geſchwindigkeit","von","beinahe","70","Fuß","in","1","Secunde","aus","der","Muͤndung","der","Roͤhre","hervordringen",",","und","man","kann","daher","der","Roͤhre","nur","einen","Querſchnitt","von","einem","halben","Quadratzoll","geben",",","wenn","der","fortgedruͤckte","Kolben","in","der","weiten","Roͤhre","einen","halben","Fuß","in","der","Secunde","durchlaͤuft",",","denn","die","hervorgetriebne","Waſſermaſſe","muß","derjenigen","gleich","ſein",",","die","der","fortgeſchobne","Kolben","aus","der","Stelle","treibt","."],"norm_tok":["Damit","der","Strahl","jene","Höhe","erreiche",",","muss","er","mit","einer","Geschwindigkeit","von","beinahe","70","Fuß","in","1","Sekunde","aus","der","Mündung","der","Röhre","hervordringen",",","und","man","kann","daher","der","Röhre","nur","einen","Querschnitt","von","einem","halben","Quadratzoll","geben",",","wenn","der","fortgedrückte","Kolben","in","der","weiten","Röhre","einen","halben","Fuß","in","der","Sekunde","durchläuft",",","denn","die","hervorgetriebene","Wassermasse","muss","derjenigen","gleich","sein",",","die","der","fortgeschobene","Kolben","aus","der","Stelle","treibt","."],"orig_spans":[[0,5],[6,9],[10,16],[17,21],[22,27],[28,36],[36,37],[38,41],[42,44],[45,48],[49,54],[55,70],[71,74],[75,82],[83,85],[86,89],[90,92],[93,94],[95,102],[103,106],[107,110],[111,119],[120,123],[124,130],[131,144],[144,145],[146,149],[150,153],[154,158],[159,164],[165,168],[169,175],[176,179],[180,185],[186,197],[198,201],[202,207],[208,214],[215,226],[227,232],[232,233],[234,238],[239,242],[243,257],[258,264],[265,267],[268,271],[272,278],[279,285],[286,291],[292,298],[299,302],[303,305],[306,309],[310,317],[318,329],[329,330],[331,335],[336,339],[340,355],[356,367],[368,371],[372,382],[383,389],[390,394],[394,395],[396,399],[400,403],[404,417],[418,424],[425,428],[429,432],[433,439],[440,446],[446,447]],"norm_spans":[[0,5],[6,9],[10,16],[17,21],[22,26],[27,35],[35,36],[37,41],[42,44],[45,48],[49,54],[55,70],[71,74],[75,82],[83,85],[86,89],[90,92],[93,94],[95,102],[103,106],[107,110],[111,118],[119,122],[123,128],[129,142],[142,143],[144,147],[148,151],[152,156],[157,162],[163,166],[167,172],[173,176],[177,182],[183,194],[195,198],[199,204],[205,211],[212,223],[224,229],[229,230],[231,235],[236,239],[240,253],[254,260],[261,263],[264,267],[268,274],[275,280],[281,286],[287,293],[294,297],[298,300],[301,304],[305,312],[313,323],[323,324],[325,329],[330,333],[334,350],[351,362],[363,367],[368,378],[379,385],[386,390],[390,391],[392,395],[396,399],[400,414],[415,421],[422,425],[426,429],[430,436],[437,443],[443,444]],"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":3.992399930953979} +{"basename":"brandes_naturlehre01_1830","par_idx":1680,"date":1830,"orig":"So uͤberſehen Sie, wie man uͤber die Anordnung der Feuerſpritze rechnen muß, um theils die Hoͤhe des Strahles, theils den Waſſer-Aufwand ſo zu erhalten, wie es die gegebenen Umſtaͤnde fordern.","norm":"So übersehen Sie, wie man über die Anordnung der Feuerspritze rechnen muss, um teils die Höhe des Strahles, teils den Wasser-Aufwand so zu erhalten, wie es die gegebenen Umstände 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+{"basename":"brandes_naturlehre01_1830","par_idx":1681,"date":1830,"orig":"Arteſiſche Brunnen.","norm":"Artesische Brunnen.","orig_tok":["Arteſiſche","Brunnen","."],"norm_tok":["Artesische","Brunnen","."],"orig_spans":[[0,10],[11,18],[18,19]],"norm_spans":[[0,10],[11,18],[18,19]],"alignment":[[0,0],[1,1],[2,2]],"lang_fastText":"de","lang_py3langid":"no","lang_cld3":"lb","orig_lang_de":0.333,"norm_lmscore":5.536799907684326} +{"basename":"brandes_naturlehre01_1830","par_idx":1682,"date":1830,"orig":"Die natuͤrlichen Springbrunnen haͤngen oft gewiß von andern Umſtaͤnden, vom Drucke einer eingeſchloſſenen Luft oder entwickelter Daͤmpfe ab; bei den gewoͤhnlichen Brunnen und den meiſten aus der Erde hervorſprudelnden Quellen ſind wir dagegen gewohnt, anzunehmen, daß ſie bloß dem Drucke eines hoͤher ſtehenden Waſſers ihren Urſprung verdanken.","norm":"Die natürlichen Springbrunnen hängen oft gewiss von anderen Umständen, vom Drucke einer eingeschlossenen Luft oder entwickelter Dämpfe ab; bei den gewöhnlichen Brunnen und den meisten aus der Erde hervorsprudelnden Quellen sind wir dagegen gewohnt, anzunehmen, dass sie bloß dem Drucke eines höher stehenden Wassers ihren Ursprung verdanken.","orig_tok":["Die","natuͤrlichen","Springbrunnen","haͤngen","oft","gewiß","von","andern","Umſtaͤnden",",","vom","Drucke","einer","eingeſchloſſenen","Luft","oder","entwickelter","Daͤmpfe","ab",";","bei","den","gewoͤhnlichen","Brunnen","und","den","meiſten","aus","der","Erde","hervorſprudelnden","Quellen","ſind","wir","dagegen","gewohnt",",","anzunehmen",",","daß","ſie","bloß","dem","Drucke","eines","hoͤher","ſtehenden","Waſſers","ihren","Urſprung","verdanken","."],"norm_tok":["Die","natürlichen","Springbrunnen","hängen","oft","gewiss","von","anderen","Umständen",",","vom","Drucke","einer","eingeschlossenen","Luft","oder","entwickelter","Dämpfe","ab",";","bei","den","gewöhnlichen","Brunnen","und","den","meisten","aus","der","Erde","hervorsprudelnden","Quellen","sind","wir","dagegen","gewohnt",",","anzunehmen",",","dass","sie","bloß","dem","Drucke","eines","höher","stehenden","Wassers","ihren","Ursprung","verdanken","."],"orig_spans":[[0,3],[4,16],[17,30],[31,38],[39,42],[43,48],[49,52],[53,59],[60,70],[70,71],[72,75],[76,82],[83,88],[89,105],[106,110],[111,115],[116,128],[129,136],[137,139],[139,140],[141,144],[145,148],[149,162],[163,170],[171,174],[175,178],[179,186],[187,190],[191,194],[195,199],[200,217],[218,225],[226,230],[231,234],[235,242],[243,250],[250,251],[252,262],[262,263],[264,267],[268,271],[272,276],[277,280],[281,287],[288,293],[294,300],[301,310],[311,318],[319,324],[325,333],[334,343],[343,344]],"norm_spans":[[0,3],[4,15],[16,29],[30,36],[37,40],[41,47],[48,51],[52,59],[60,69],[69,70],[71,74],[75,81],[82,87],[88,104],[105,109],[110,114],[115,127],[128,134],[135,137],[137,138],[139,142],[143,146],[147,159],[160,167],[168,171],[172,175],[176,183],[184,187],[188,191],[192,196],[197,214],[215,222],[223,227],[228,231],[232,239],[240,247],[247,248],[249,259],[259,260],[261,265],[266,269],[270,274],[275,278],[279,285],[286,291],[292,297],[298,307],[308,315],[316,321],[322,330],[331,340],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.53819990158081} 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+{"basename":"brandes_naturlehre01_1830","par_idx":1685,"date":1830,"orig":"Man hat naͤmlich in der neueſten Zeit viel von den auffallenden Erſcheinungen erzaͤhlt, welche die gebohrten Brunnen darbieten, die man arteſiſche Brunnen nennt, weil ſie in der Provinz Artois in fruͤherer Zeit mehr als anderswo ausgefuͤhrt ſein ſollen.","norm":"Man hat nämlich in der neuesten Zeit viel von den auffallenden Erscheinungen erzählt, welche die gebohrten Brunnen darbieten, die man artesische Brunnen nennt, weil sie in der Provinz Artois in früherer Zeit mehr als anderswo ausgeführt sein 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+{"basename":"brandes_naturlehre01_1830","par_idx":1698,"date":1830,"orig":"Da hier die anfaͤngliche Geſchwindigkeit voͤllig horizontal iſt, ſo gelangt das Waſſer, wie ein andrer geworfener Koͤrper, bloß wegen der Kraft der Schwere von C bis zur Tiefe CE, es wird alſo zu ſeinem Fallen eine Secunde brauchen, wenn CE 15 Fuß betraͤgt, und da die Entfernung EF den in eben der Zeit durchlaufenen Weg nach horizontaler Richtung zeigt, ſo iſt, wenn man CE = 15 Fuß genommen hat, EF das Maaß der Ausflußgeſchwindigkeit.","norm":"Da hier die anfängliche Geschwindigkeit völlig horizontal ist, so gelangt das Wasser, wie ein anderer geworfener Körper, bloß wegen der Kraft der Schwere von C bis zur Tiefe CE, es wird also zu seinem Fallen eine Sekunde brauchen, wenn CE 15 Fuß beträgt, und da die Entfernung EF den in eben der Zeit durchlaufenen Weg nach horizontaler Richtung zeigt, so ist, wenn man CE = 15 Fuß genommen hat, EF das Maß der 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den Seiten gegen die Mitte drängenden Teilchen sich in einiger Entfernung vom Ausguss geschmälert und in einer gegen die vorige Richtung senkrechten Richtung breiter zeigt, dass er weiter herabwärts seine breite Seite wieder dem Rande des Gefäßes parallel hat, und so 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+{"basename":"brandes_naturlehre01_1830","par_idx":1739,"date":1830,"orig":"Offenbar kann dieſe von B nach C gerichtete Oſcillation nur einen Augenblick dauern, und nun faͤngt die ruͤckwaͤrts gehende Schwankung an.","norm":"Offenbar kann diese von B nach C gerichtete Oszillation nur einen Augenblick dauern, und nun fängt die rückwärts gehende Schwankung 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+{"basename":"brandes_naturlehre01_1830","par_idx":1740,"date":1830,"orig":"Da ſich, ſobald dieſe in der Steigeroͤhre anfaͤngt, das Ventil I ſchließt, ſo kann nur unterhalb I das Beſtreben zuruͤckzugehen eintreten, und dabei wird der Waſſerdruck auf H ſo vermindert, daß das Ventil H herabſinkt, und die Oeffnung H frei laͤßt, alſo einen neuen Ausfluß geſtattet, der nun ſogleich einen neuen Zufluß von B her, alſo eine neue Oſcillation, zur Folge hat, die ſich genau wie die vorige verhaͤlt.","norm":"Da sich, sobald diese in der Steigeröhre anfängt, das Ventil I schließt, so kann nur unterhalb I das Bestreben zurückzugehen eintreten, und dabei wird der Wasserdruck auf H so vermindert, dass das Ventil H herabsinkt, und die Öffnung H frei lässt, also einen neuen Ausfluss gestattet, der nun sogleich einen neuen Zufluss von B her, also eine neue Oszillation, zur Folge hat, die sich genau wie die vorige 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Steigeröhre immer höher getrieben, bis es eine so große Höhe erreicht, dass der auf dem Ventile I lastende Druck dem Wasserstosse nicht mehr 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+{"basename":"brandes_naturlehre01_1830","par_idx":1766,"date":1830,"orig":"Daß dieſe indeß nicht in einem Hinauf- und Hinabgehen beſteht, wie in den verbundenen Roͤhren, das haben theils Beobachtungen, theils theoretiſche Betrachtungen gezeigt.","norm":"Dass diese indes nicht in einem Hinauf- und Hinabgehen besteht, wie in den verbundenen Röhren, das haben teils Beobachtungen, teils theoretische Betrachtungen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1767,"date":1830,"orig":"Die Beobachtung laͤßt ſich ſchon an den Wellen, wie wir ſie, vom Winde erregt und unterhalten, ſo oft wahrnehmen, anſtellen; aber noch genauer haben die ſchoͤnen Verſuche von E. und W. 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+{"basename":"brandes_naturlehre01_1830","par_idx":1768,"date":1830,"orig":"Sie bedienten ſich zu ihren Verſuchen einer ziemlich langen Rinne, in welcher Wellen erregt wurden, und da die Rinne ſchmal genug war, um auf das, was nach der Querrichtung ſtatt fand, nicht Ruͤckſicht zu nehmen; ſo liefen die Wellen in ihr bloß der Laͤnge nach fort.","norm":"Sie bedienten sich zu ihren Versuchen einer ziemlich langen Rinne, in welcher Wellen erregt wurden, und da die Rinne schmal genug war, um auf das, was nach der Querrichtung stattfand, nicht Rücksicht zu nehmen; so liefen die Wellen in ihr bloß der Länge nach 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+{"basename":"brandes_naturlehre01_1830","par_idx":1780,"date":1830,"orig":"Laſſen wir nur einen einzigen Tropfen in das Waſſer fallen, ſo ſollte dieſer freilich auch nur eine Welle erregen; aber wir bemerken, daß ein zuruͤckſpringender Tropfen entſteht, der eine zweite Erſchuͤtterung hervorbringt und daß ſo mehrere auf einander folgende Wellen entſtehen.","norm":"Lassen wir nur einen einzigen Tropfen in das Wasser fallen, so sollte dieser freilich auch nur eine Welle erregen; aber wir bemerken, dass ein zurückspringender Tropfen entsteht, der eine zweite Erschütterung hervorbringt und dass so mehrere aufeinander folgende Wellen 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in die in der Mitte gemachte Vertiefung zurückzugehen, wo sie, von allen Seiten zusammentreffend, durch die Heftigkeit ihres Stoßes einen neuen Tropfen 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Weber angeſtellten Verſuchen ward ein andres Verfahren, um dieſe mehrfachen Wellen-Erregungen zu vermeiden, angewandt; ſie zogen naͤmlich in einer eingetauchten Roͤhre ein wenig Waſſer ſo herauf, daß die ganze Saͤule ſich uͤber die Oberflaͤche erhob, und indem ſie dieſe ploͤtzlich ſinken ließen, brachten ſie eine einfache Wellen-Erregung hervor.","norm":"Bei den von E. und W. 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+{"basename":"brandes_naturlehre01_1830","par_idx":1784,"date":1830,"orig":"Da es dem Plane dieſer Vorleſungen nicht angemeſſen waͤre, wenn ich dieſem einzelnen Gegenſtande ſo viel Zeit ſchenken wollte, als noͤthig waͤre, um die vielfach abgeaͤnderten, lehrreichen Verſuche mit einiger Vollſtaͤndigkeit zu erwaͤhnen, welche von dieſen beiden Naturforſchern angeſtellt ſind, ſo muß ich mich begnuͤgen, nur einige derjenigen Verſuche und Betrachtungen auszuheben, die zu einer Erklaͤrung der Phaͤnomene fuͤhren, welche ſich uns am haͤufigſten darbieten.","norm":"Da es dem Plane dieser Vorlesungen nicht angemessen wäre, wenn ich diesem einzelnen Gegenstande so viel Zeit schenken wollte, als nötig wäre, um die vielfach abgeänderten, lehrreichen Versuche mit einiger Vollständigkeit zu erwähnen, welche von diesen beiden Naturforschern angestellt sind, so muss ich mich begnügen, nur einige derjenigen Versuche und Betrachtungen auszuheben, die zu einer Erklärung der Phänomene führen, welche sich uns 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+{"basename":"brandes_naturlehre01_1830","par_idx":1790,"date":1830,"orig":"Dieſer gehinderte Fortgang der Welle iſt am Ufer eine der Haupturſachen ihres ſchaͤumenden Ueberſtuͤrzens, welches den Daͤmmen, mit welchen die niedrigen Gegenden am Meere gegen das Waſſer geſchuͤtzt werden, ſo verderblich iſt.","norm":"Dieser gehinderte Fortgang der Welle ist am Ufer eine der Hauptursachen ihres schäumenden Überstürzens, welches den Dämmen, mit welchen die niedrigen Gegenden am Meere gegen das Wasser geschützt werden, so verderblich 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wird er da wo die Hemmung der Welle schneller eintritt und wo das Überstürzen durch den auf den Gipfel der Welle wirkenden Sturm noch beschleuniget wird; hat hier die mit Gewalt gegen das Ufer gepresste, und von dem stets andringenden Wasser doppelt hoch aufgetürmte Welle eine Höhe von 8 oder 10 Fuß erreicht, und stürzt nun auf die vorliegende Fläche des Dammes herab, so lässt sich begreifen, wie sie Zentner schwere Steine wegführen, die stärksten Dämme durch ihre immer auf denselben Punkt wiederholte Einwirkung zerstören, und die großen Verheerungen anrichten kann, von welchen die Bewohner der Seeufer, wenn auch ihre Dämme den Überschwemmungen wohl Widerstand zu leisten pflegen, dennoch so oft verderbliche Proben zu sehen Gelegenheit 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daß der Wellenkopf ungefehr die Hoͤhe erreicht, welche der Summe beider Wellen gleich iſt.","norm":"Wenn mehrere Wellen einander durchkreuzend fortgehen, so türmen sie sich im Durchschnittspunkte so aufeinander auf, dass der Wellenkopf ungefähr die Höhe erreicht, welche der Summe beider Wellen gleich 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I. ſtellt den noch ungeaͤnderten Fortgang der Wellen dar, in dem Augenblicke, wo der vorangehende Fußpunct A der Welle die Wand A erreicht; in Fig. 105. IL. iſt abcdef die Oberflaͤche in dem Augenblicke, da des zuruͤckgehenden Wellenberges vordere Haͤlfte ſich mit der hintern Haͤlfte des heranruͤckenden Wellenberges vereiniget hat, eg ſtellt die Welle vor, wie ſie ohne Zuruͤckwerfung geweſen waͤre.","norm":"Die Figur 105. I. stellt den noch ungeänderten Fortgang der Wellen dar, in dem Augenblicke, wo der vorangehende Fußpunkt A der Welle die Wand A erreicht; in Fig. 105. 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III.) zuruͤckgehend nach g gelangt, in dem Augenblicke, wo die groͤßte Tiefe des Wellenthales d ſich eben ſo weit von der Wand entfernt befindet; in dieſem Augenblicke fuͤllt daher der Wellenberg das Wellenthal genau aus und zabce iſt die Oberflaͤche.","norm":"Da die heranrückende Welle immer gleichförmig vorwärts und die zurückgeworfene immer gleichförmig zurückgeht, wobei die an die Wand gelangten Teile sich an die zurückgehende Welle anschließen; so ist der höchste Gipfel g (Fig. 105. III.) zurückgehend nach g gelangt, in dem Augenblicke, wo die größte Tiefe des Wellentals d sich eben so weit von der Wand entfernt befindet; in diesem Augenblicke füllt daher der Wellenberg das Wellental genau aus und zabce ist die Oberfläche.","orig_tok":["Da","die","heranruͤckende","Welle","immer","gleichfoͤrmig","vorwaͤrts","und","die","zuruͤckgeworfene","immer","gleichfoͤrmig","zuruͤckgeht",",","wobei","die","an","die","Wand","gelangten","Theile","ſich","an","die","zuruͤckgehende","Welle","anſchließen",";","ſo","iſt","der","hoͤchſte","Gipfel","g","(","Fig.","105.","III.",")","zuruͤckgehend","nach","g","gelangt",",","in","dem","Augenblicke",",","wo","die","groͤßte","Tiefe","des","Wellenthales","d","ſich","eben","ſo","weit","von","der","Wand","entfernt","befindet",";","in","dieſem","Augenblicke","fuͤllt","daher","der","Wellenberg","das","Wellenthal","genau","aus","und","zabce","iſt","die","Oberflaͤche","."],"norm_tok":["Da","die","heranrückende","Welle","immer","gleichförmig","vorwärts","und","die","zurückgeworfene","immer","gleichförmig","zurückgeht",",","wobei","die","an","die","Wand","gelangten","Teile","sich","an","die","zurückgehende","Welle","anschließen",";","so","ist","der","höchste","Gipfel","g","(","Fig",".","105.","III.",")","zurückgehend","nach","g","gelangt",",","in","dem","Augenblicke",",","wo","die","größte","Tiefe","des","Wellentals","d","sich","eben","so","weit","von","der","Wand","entfernt","befindet",";","in","diesem","Augenblicke","füllt","daher","der","Wellenberg","das","Wellental","genau","aus","und","zabce","ist","die","Oberfläche","."],"orig_spans":[[0,2],[3,6],[7,21],[22,27],[28,33],[34,47],[48,57],[58,61],[62,65],[66,82],[83,88],[89,102],[103,114],[114,115],[116,121],[122,125],[126,128],[129,132],[133,137],[138,147],[148,154],[155,159],[160,162],[163,166],[167,181],[182,187],[188,199],[199,200],[201,203],[204,207],[208,211],[212,220],[221,227],[228,229],[230,231],[231,235],[236,240],[241,245],[245,246],[247,260],[261,265],[266,267],[268,275],[275,276],[277,279],[280,283],[284,295],[295,296],[297,299],[300,303],[304,311],[312,317],[318,321],[322,334],[335,336],[337,341],[342,346],[347,349],[350,354],[355,358],[359,362],[363,367],[368,376],[377,385],[385,386],[387,389],[390,396],[397,408],[409,415],[416,421],[422,425],[426,436],[437,440],[441,451],[452,457],[458,461],[462,465],[466,471],[472,475],[476,479],[480,491],[491,492]],"norm_spans":[[0,2],[3,6],[7,20],[21,26],[27,32],[33,45],[46,54],[55,58],[59,62],[63,78],[79,84],[85,97],[98,108],[108,109],[110,115],[116,119],[120,122],[123,126],[127,131],[132,141],[142,147],[148,152],[153,155],[156,159],[160,173],[174,179],[180,191],[191,192],[193,195],[196,199],[200,203],[204,211],[212,218],[219,220],[221,222],[222,225],[225,226],[227,231],[232,236],[236,237],[238,250],[251,255],[256,257],[258,265],[265,266],[267,269],[270,273],[274,285],[285,286],[287,289],[290,293],[294,300],[301,306],[307,310],[311,321],[322,323],[324,328],[329,333],[334,336],[337,341],[342,345],[346,349],[350,354],[355,363],[364,372],[372,373],[374,376],[377,383],[384,395],[396,401],[402,407],[408,411],[412,422],[423,426],[427,436],[437,442],[443,446],[447,450],[451,456],[457,460],[461,464],[465,475],[475,476]],"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],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.367199897766113} +{"basename":"brandes_naturlehre01_1830","par_idx":1807,"date":1830,"orig":"Dagegen trifft etwas ſpaͤter, (Fig. 105. 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II.) hoch gehoben, bald wie ke (Fig. 105. III.) horizontal, bald wie ch tief geſenkt (Fig. 105. IV.) große Schwankungen macht.","norm":"Dabei ist noch immer e in der dem Gleichgewichte entsprechenden Oberfläche oder in der mittleren Höhe zwischen den Gipfeln der Wellenberge und den Tiefen der Wellentäler, und dieser Punkt, der um ein Viertel der Wellenlänge von der Wand entfernt ist, bleibt immer in dieser Höhe, während der zwischen ihm und der Wand liegende Teil der Oberfläche bald wie ef (Fig. 105. II.) hochgehoben, bald wie ke (Fig. 105. III.) horizontal, bald wie ch tief gesenkt (Fig. 105. 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V.) lmnop mit ebenſo breiten, aber doppelt ſo hohen Wellen.","norm":"Wenn immer neue ganz gleiche Wellen heranrücken, so erstrecken diese größeren Schwankungen sich auch auf die weiter entfernten Wellen und die Oberfläche zeigt sich so wie (Fig. 105. 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+{"basename":"brandes_naturlehre01_1830","par_idx":1826,"date":1830,"orig":"Dieſe Kraft iſt bei Strahlen von ungleichem Querſchnitte aber gleicher Geſchwindigkeit des ausfließenden Waſſers, doppelt ſo groß, wenn der Querſchnitt verdoppelt wird, und uͤberhaupt dem Querſchnitte proportional; dagegen wird ſie, wenn aus einerlei Oeffnung das Waſſer fließt, vierfach bei verdoppelter Geſchwindigkeit, neunfach bei dreimal ſo großer Geſchwindigkeit.","norm":"Diese Kraft ist bei Strahlen von ungleichem Querschnitte aber gleicher Geschwindigkeit des ausfließenden Wassers, doppelt so groß, wenn der Querschnitt verdoppelt wird, und überhaupt dem Querschnitte proportional; dagegen wird sie, wenn aus einerlei Öffnung das Wasser fließt, vierfach bei verdoppelter Geschwindigkeit, neunfach bei dreimal so großer 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+{"basename":"brandes_naturlehre01_1830","par_idx":1827,"date":1830,"orig":"Es iſt naͤmlich leicht einzuſehen, daß die Kraft des Stoßes ſich verdoppeln muß, wenn zweimal ſo viele Theilchen einwirken; aber wenn bei vermehrter Geſchwindigkeit nicht bloß mehrere Theilchen wirken, ſondern dieſe auch mit verſtaͤrkter Gewalt wirken, ſo wird die Kraft in groͤßerm Verhaͤltniſſe wachſen, als dem, welches der Zahl der anſtoßenden Theilchen gemaͤß iſt, da die Quantitaͤt der Bewegung zugleich mit der Menge der Theilchen und zugleich mit der Geſchwindigkeit waͤchſt.","norm":"Es ist nämlich leicht einzusehen, dass die Kraft des Stoßes sich verdoppeln muss, wenn zweimal so viele Teilchen einwirken; aber wenn bei vermehrter Geschwindigkeit nicht bloß mehrere Teilchen wirken, sondern diese auch mit verstärkter Gewalt wirken, so wird die Kraft in größerem Verhältnisse wachsen, als dem, welches der Zahl der anstoßenden Teilchen gemäß ist, da die Quantität der Bewegung zugleich mit der Menge der Teilchen 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geneigt.","orig_tok":["Wenn","die","Flaͤche",",","welche","den","Stoß","empfaͤngt",",","groß","iſt",",","ſo","darf","man","ihr","nicht","mehr","die","Form","einer","Ebne","geben",",","weil","eine","ganz","gleiche","Wirkung","in","der","Naͤhe","von","C","eine","ſchnellere","Drehungsbewegung","bewirken","wuͤrde",",","und","deshalb","der","Stoß","auf","die","von","C","entferntern","Theile","des","Fluͤgels","keinen","hinreichenden","Nutzen","braͤchte",";","aus","dieſem","Grunde","iſt","die","Fluͤgelflaͤche","windſchief",",","in","der","Naͤhe","von","C","weniger",",","entfernter","von","C","mehr","gegen","die","Ebne",",","in","welcher","der","Fluͤgel","fortgeht",",","geneigt","."],"norm_tok":["Wenn","die","Fläche",",","welche","den","Stoß","empfängt",",","groß","ist",",","so","darf","man","ihr","nicht","mehr","die","Form","einer","Ebene","geben",",","weil","eine","ganz","gleiche","Wirkung","in","der","Nähe","von","C","eine","schnellere","Drehungsbewegung","bewirken","würde",",","und","deshalb","der","Stoß","auf","die","von","C","entfernteren","Teile","des","Flügels","keinen","hinreichenden","Nutzen","brächte",";","aus","diesem","Grunde","ist","die","Flügelfläche","windschief",",","in","der","Nähe","von","C","weniger",",","entfernter","von","C","mehr","gegen","die","Ebene",",","in","welcher","der","Flügel","fortgeht",",","geneigt","."],"orig_spans":[[0,4],[5,8],[9,16],[16,17],[18,24],[25,28],[29,33],[34,43],[43,44],[45,49],[50,53],[53,54],[55,57],[58,62],[63,66],[67,70],[71,76],[77,81],[82,85],[86,90],[91,96],[97,101],[102,107],[107,108],[109,113],[114,118],[119,123],[124,131],[132,139],[140,142],[143,146],[147,152],[153,156],[157,158],[159,163],[164,174],[175,191],[192,200],[201,207],[207,208],[209,212],[213,220],[221,224],[225,229],[230,233],[234,237],[238,241],[242,243],[244,255],[256,262],[263,266],[267,275],[276,282],[283,296],[297,303],[304,312],[312,313],[314,317],[318,324],[325,331],[332,335],[336,339],[340,354],[355,365],[365,366],[367,369],[370,373],[374,379],[380,383],[384,385],[386,393],[393,394],[395,405],[406,409],[410,411],[412,416],[417,422],[423,426],[427,431],[431,432],[433,435],[436,443],[444,447],[448,455],[456,464],[464,465],[466,473],[473,474]],"norm_spans":[[0,4],[5,8],[9,15],[15,16],[17,23],[24,27],[28,32],[33,41],[41,42],[43,47],[48,51],[51,52],[53,55],[56,60],[61,64],[65,68],[69,74],[75,79],[80,83],[84,88],[89,94],[95,100],[101,106],[106,107],[108,112],[113,117],[118,122],[123,130],[131,138],[139,141],[142,145],[146,150],[151,154],[155,156],[157,161],[162,172],[173,189],[190,198],[199,204],[204,205],[206,209],[210,217],[218,221],[222,226],[227,230],[231,234],[235,238],[239,240],[241,253],[254,259],[260,263],[264,271],[272,278],[279,292],[293,299],[300,307],[307,308],[309,312],[313,319],[320,326],[327,330],[331,334],[335,347],[348,358],[358,359],[360,362],[363,366],[367,371],[372,375],[376,377],[378,385],[385,386],[387,397],[398,401],[402,403],[404,408],[409,414],[415,418],[419,424],[424,425],[426,428],[429,436],[437,440],[441,447],[448,456],[456,457],[458,465],[465,466]],"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":3.91890001296997} +{"basename":"brandes_naturlehre01_1830","par_idx":1843,"date":1830,"orig":"Mehr, als dieſe techniſche Anwendung, der Phyſik angehoͤrend, iſt die Anwendung, die man von einem Inſtrumente mit Windmuͤhlenfluͤgeln gemacht hat, um die Geſchwindigkeit des Windes und des ſtroͤmenden Waſſers zu finden.","norm":"Mehr, als diese technische Anwendung, der Physik angehörend, ist die Anwendung, die man von einem Instrumente mit Windmühlenflügeln gemacht hat, um die Geschwindigkeit des Windes und des strömenden Wassers zu finden.","orig_tok":["Mehr",",","als","dieſe","techniſche","Anwendung",",","der","Phyſik","angehoͤrend",",","iſt","die","Anwendung",",","die","man","von","einem","Inſtrumente","mit","Windmuͤhlenfluͤgeln","gemacht","hat",",","um","die","Geſchwindigkeit","des","Windes","und","des","ſtroͤmenden","Waſſers","zu","finden","."],"norm_tok":["Mehr",",","als","diese","technische","Anwendung",",","der","Physik","angehörend",",","ist","die","Anwendung",",","die","man","von","einem","Instrumente","mit","Windmühlenflügeln","gemacht","hat",",","um","die","Geschwindigkeit","des","Windes","und","des","strömenden","Wassers","zu","finden","."],"orig_spans":[[0,4],[4,5],[6,9],[10,15],[16,26],[27,36],[36,37],[38,41],[42,48],[49,60],[60,61],[62,65],[66,69],[70,79],[79,80],[81,84],[85,88],[89,92],[93,98],[99,110],[111,114],[115,134],[135,142],[143,146],[146,147],[148,150],[151,154],[155,170],[171,174],[175,181],[182,185],[186,189],[190,201],[202,209],[210,212],[213,219],[219,220]],"norm_spans":[[0,4],[4,5],[6,9],[10,15],[16,26],[27,36],[36,37],[38,41],[42,48],[49,59],[59,60],[61,64],[65,68],[69,78],[78,79],[80,83],[84,87],[88,91],[92,97],[98,109],[110,113],[114,131],[132,139],[140,143],[143,144],[145,147],[148,151],[152,167],[168,171],[172,178],[179,182],[183,186],[187,197],[198,205],[206,208],[209,215],[215,216]],"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":3.731899976730346} +{"basename":"brandes_naturlehre01_1830","par_idx":1844,"date":1830,"orig":"Hat die in Fig. 110. dargeſtellte kleine Fluͤgelflaͤche eine ſehr geringe Neigung gegen die Ebne des Fluͤgel-Umlaufs, ſo wird ſie, faſt ſenkrecht vom Winde getroffen, nur langſam nach der Seite ausweichen; ſtaͤnde ſie beinahe ſenkrecht gegen jene Ebne, ſo wuͤrde ſie ebenfalls langſam ausweichen, weil der Wind, mit deſſen Richtung ihre Lage beinahe uͤberein ſtimmte, ſie nur wenig traͤfe; — in der genau mittleren Stellung dagegen weicht ſie genau ſo ſchnell ſeitwaͤrts aus, als der Wind ſelbſt fortgeht.","norm":"Hat die in Fig. 110. dargestellte kleine Flügelfläche eine sehr geringe Neigung gegen die Ebene des Flügel-Umlaufs, so wird sie, fast senkrecht vom Winde getroffen, nur langsam nach der Seite ausweichen; stände sie beinahe senkrecht gegen jene Ebene, so würde sie ebenfalls langsam ausweichen, weil der Wind, mit dessen Richtung ihre Lage beinahe überein stimmte, sie nur wenig träfe; — in der genau mittleren Stellung dagegen weicht sie genauso schnell seitwärts aus, als der Wind selbst fortgeht.","orig_tok":["Hat","die","in","Fig.","110.","dargeſtellte","kleine","Fluͤgelflaͤche","eine","ſehr","geringe","Neigung","gegen","die","Ebne","des","Fluͤgel-Umlaufs",",","ſo","wird","ſie",",","faſt","ſenkrecht","vom","Winde","getroffen",",","nur","langſam","nach","der","Seite","ausweichen",";","ſtaͤnde","ſie","beinahe","ſenkrecht","gegen","jene","Ebne",",","ſo","wuͤrde","ſie","ebenfalls","langſam","ausweichen",",","weil","der","Wind",",","mit","deſſen","Richtung","ihre","Lage","beinahe","uͤberein","ſtimmte",",","ſie","nur","wenig","traͤfe",";","—","in","der","genau","mittleren","Stellung","dagegen","weicht","ſie","genau","ſo","ſchnell","ſeitwaͤrts","aus",",","als","der","Wind","ſelbſt","fortgeht","."],"norm_tok":["Hat","die","in","Fig",".","110.","dargestellte","kleine","Flügelfläche","eine","sehr","geringe","Neigung","gegen","die","Ebene","des","Flügel-Umlaufs",",","so","wird","sie",",","fast","senkrecht","vom","Winde","getroffen",",","nur","langsam","nach","der","Seite","ausweichen",";","stände","sie","beinahe","senkrecht","gegen","jene","Ebene",",","so","würde","sie","ebenfalls","langsam","ausweichen",",","weil","der","Wind",",","mit","dessen","Richtung","ihre","Lage","beinahe","überein","stimmte",",","sie","nur","wenig","träfe",";","—","in","der","genau","mittleren","Stellung","dagegen","weicht","sie","genauso","schnell","seitwärts","aus",",","als","der","Wind","selbst","fortgeht","."],"orig_spans":[[0,3],[4,7],[8,10],[11,15],[16,20],[21,33],[34,40],[41,55],[56,60],[61,65],[66,73],[74,81],[82,87],[88,91],[92,96],[97,100],[101,116],[116,117],[118,120],[121,125],[126,129],[129,130],[131,135],[136,145],[146,149],[150,155],[156,165],[165,166],[167,170],[171,178],[179,183],[184,187],[188,193],[194,204],[204,205],[206,213],[214,217],[218,225],[226,235],[236,241],[242,246],[247,251],[251,252],[253,255],[256,262],[263,266],[267,276],[277,284],[285,295],[295,296],[297,301],[302,305],[306,310],[310,311],[312,315],[316,322],[323,331],[332,336],[337,341],[342,349],[350,358],[359,366],[366,367],[368,371],[372,375],[376,381],[382,388],[388,389],[390,391],[392,394],[395,398],[399,404],[405,414],[415,423],[424,431],[432,438],[439,442],[443,448],[449,451],[452,459],[460,470],[471,474],[474,475],[476,479],[480,483],[484,488],[489,495],[496,504],[504,505]],"norm_spans":[[0,3],[4,7],[8,10],[11,14],[14,15],[16,20],[21,33],[34,40],[41,53],[54,58],[59,63],[64,71],[72,79],[80,85],[86,89],[90,95],[96,99],[100,114],[114,115],[116,118],[119,123],[124,127],[127,128],[129,133],[134,143],[144,147],[148,153],[154,163],[163,164],[165,168],[169,176],[177,181],[182,185],[186,191],[192,202],[202,203],[204,210],[211,214],[215,222],[223,232],[233,238],[239,243],[244,249],[249,250],[251,253],[254,259],[260,263],[264,273],[274,281],[282,292],[292,293],[294,298],[299,302],[303,307],[307,308],[309,312],[313,319],[320,328],[329,333],[334,338],[339,346],[347,354],[355,362],[362,363],[364,367],[368,371],[372,377],[378,383],[383,384],[385,386],[387,389],[390,393],[394,399],[400,409],[410,418],[419,426],[427,433],[434,437],[438,445],[446,453],[454,463],[464,467],[467,468],[469,472],[473,476],[477,481],[482,488],[489,497],[497,498]],"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],[24,25],[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],[78,78],[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":4.482900142669678} +{"basename":"brandes_naturlehre01_1830","par_idx":1845,"date":1830,"orig":"Hat man alſo das Inſtrument, welches unter dem Namen des Woltman'ſchen Anemometers bekannt iſt, ſo eingerichtet, daß die Mitte der Flaͤche AE einen Kreis von 10 Fuß Laͤnge (deſſen Durchmeſſer 3 [Formel] Fuß) durchlaͤuft, ſo ſtimmt die Zeit eines Umlaufes der Fluͤgel, deren man vier anzubringen pflegt, mit 10 Fuß Fortgang des Windes uͤberein.","norm":"Hat man also das Instrument, welches unter dem Namen des Waltmanschen Anemometers bekannt ist, so eingerichtet, dass die Mitte der Fläche AE einen Kreis von 10 Fuß Länge (dessen Durchmesser 3 [Formel] Fuß) durchläuft, so stimmt die Zeit eines Umlaufes der Flügel, deren man vier anzubringen pflegt, mit 10 Fuß Fortgang des Windes 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+{"basename":"brandes_naturlehre01_1830","par_idx":1846,"date":1830,"orig":"Man richtet das Inſtrument ſo ein, daß die Axe der Fluͤgel vermittelſt einer Schraube ohne Ende ein Rad einmal umtreibt, waͤhrend die Fluͤgel 30mal umlaufen, und indem dieſes Rad die Umlaͤufe waͤhrend einer halben Minute zaͤhlt, erhaͤlt man leicht die Geſchwindigkeit des Windes.","norm":"Man richtet das Instrument so ein, dass die Achse der Flügel vermittels einer Schraube ohne Ende ein Rad einmal umtreibt, während die Flügel 30mal umlaufen, und indem dieses Rad die Umläufe während einer halben Minute zählt, erhält man leicht die Geschwindigkeit des 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+{"basename":"brandes_naturlehre01_1830","par_idx":1847,"date":1830,"orig":"Auf dieſe Weiſe findet man, daß bei heftigen Stuͤrmen die Geſchwindigkeit des Windes gegen 80 Fuß in der Secunde betragen kann, und man muß, da die heftigſten Stoͤße nicht grade beobachtet werden, und auch nicht einmal eine halbe Minute in ihrer ganzen Gewalt dauern, wohl annehmen, daß die ſtaͤrkſten Stoͤße noch mehr Schnelligkeit haben.","norm":"Auf diese Weise findet man, dass bei heftigen Stürmen die Geschwindigkeit des Windes gegen 80 Fuß in der Sekunde betragen kann, und man muss, da die heftigsten Stöße nicht gerade beobachtet werden, und auch nicht einmal eine halbe Minute in ihrer ganzen Gewalt dauern, wohl annehmen, dass die stärksten Stöße noch mehr Schnelligkeit haben.","orig_tok":["Auf","dieſe","Weiſe","findet","man",",","daß","bei","heftigen","Stuͤrmen","die","Geſchwindigkeit","des","Windes","gegen","80","Fuß","in","der","Secunde","betragen","kann",",","und","man","muß",",","da","die","heftigſten","Stoͤße","nicht","grade","beobachtet","werden",",","und","auch","nicht","einmal","eine","halbe","Minute","in","ihrer","ganzen","Gewalt","dauern",",","wohl","annehmen",",","daß","die","ſtaͤrkſten","Stoͤße","noch","mehr","Schnelligkeit","haben","."],"norm_tok":["Auf","diese","Weise","findet","man",",","dass","bei","heftigen","Stürmen","die","Geschwindigkeit","des","Windes","gegen","80","Fuß","in","der","Sekunde","betragen","kann",",","und","man","muss",",","da","die","heftigsten","Stöße","nicht","gerade","beobachtet","werden",",","und","auch","nicht","einmal","eine","halbe","Minute","in","ihrer","ganzen","Gewalt","dauern",",","wohl","annehmen",",","dass","die","stärksten","Stöße","noch","mehr","Schnelligkeit","haben","."],"orig_spans":[[0,3],[4,9],[10,15],[16,22],[23,26],[26,27],[28,31],[32,35],[36,44],[45,53],[54,57],[58,73],[74,77],[78,84],[85,90],[91,93],[94,97],[98,100],[101,104],[105,112],[113,121],[122,126],[126,127],[128,131],[132,135],[136,139],[139,140],[141,143],[144,147],[148,158],[159,165],[166,171],[172,177],[178,188],[189,195],[195,196],[197,200],[201,205],[206,211],[212,218],[219,223],[224,229],[230,236],[237,239],[240,245],[246,252],[253,259],[260,266],[266,267],[268,272],[273,281],[281,282],[283,286],[287,290],[291,301],[302,308],[309,313],[314,318],[319,332],[333,338],[338,339]],"norm_spans":[[0,3],[4,9],[10,15],[16,22],[23,26],[26,27],[28,32],[33,36],[37,45],[46,53],[54,57],[58,73],[74,77],[78,84],[85,90],[91,93],[94,97],[98,100],[101,104],[105,112],[113,121],[122,126],[126,127],[128,131],[132,135],[136,140],[140,141],[142,144],[145,148],[149,159],[160,165],[166,171],[172,178],[179,189],[190,196],[196,197],[198,201],[202,206],[207,212],[213,219],[220,224],[225,230],[231,237],[238,240],[241,246],[247,253],[254,260],[261,267],[267,268],[269,273],[274,282],[282,283],[284,288],[289,292],[293,302],[303,308],[309,313],[314,318],[319,332],[333,338],[338,339]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.855600118637085} +{"basename":"brandes_naturlehre01_1830","par_idx":1848,"date":1830,"orig":"Ein Vorwurf, den man dieſem Inſtrumente mit Recht macht, iſt, daß es nur die mittlere Geſchwindigkeit in einem ſchon etwas laͤngern Zeitraume giebt; Schmidt hat daher neuerlich Verſuche mit einem andern Inſtrumente, wo eine pendelartig herabhaͤngende, mit der breiten Seite dem Winde entgegengeſtellte Ebne vom Winde gehoben wird, angeſtellt.","norm":"Ein Vorwurf, den man diesem Instrumente mit Recht macht, ist, dass es nur die mittlere Geschwindigkeit in einem schon etwas längeren Zeitraume gibt; Schmidt hat daher neuerlich Versuche mit einem anderen Instrumente, wo eine pendelartig herabhängende, mit der breiten Seite dem Winde entgegengestellte Ebene vom Winde gehoben wird, angestellt.","orig_tok":["Ein","Vorwurf",",","den","man","dieſem","Inſtrumente","mit","Recht","macht",",","iſt",",","daß","es","nur","die","mittlere","Geſchwindigkeit","in","einem","ſchon","etwas","laͤngern","Zeitraume","giebt",";","Schmidt","hat","daher","neuerlich","Verſuche","mit","einem","andern","Inſtrumente",",","wo","eine","pendelartig","herabhaͤngende",",","mit","der","breiten","Seite","dem","Winde","entgegengeſtellte","Ebne","vom","Winde","gehoben","wird",",","angeſtellt","."],"norm_tok":["Ein","Vorwurf",",","den","man","diesem","Instrumente","mit","Recht","macht",",","ist",",","dass","es","nur","die","mittlere","Geschwindigkeit","in","einem","schon","etwas","längeren","Zeitraume","gibt",";","Schmidt","hat","daher","neuerlich","Versuche","mit","einem","anderen","Instrumente",",","wo","eine","pendelartig","herabhängende",",","mit","der","breiten","Seite","dem","Winde","entgegengestellte","Ebene","vom","Winde","gehoben","wird",",","angestellt","."],"orig_spans":[[0,3],[4,11],[11,12],[13,16],[17,20],[21,27],[28,39],[40,43],[44,49],[50,55],[55,56],[57,60],[60,61],[62,65],[66,68],[69,72],[73,76],[77,85],[86,101],[102,104],[105,110],[111,116],[117,122],[123,131],[132,141],[142,147],[147,148],[149,156],[157,160],[161,166],[167,176],[177,185],[186,189],[190,195],[196,202],[203,214],[214,215],[216,218],[219,223],[224,235],[236,250],[250,251],[252,255],[256,259],[260,267],[268,273],[274,277],[278,283],[284,301],[302,306],[307,310],[311,316],[317,324],[325,329],[329,330],[331,341],[341,342]],"norm_spans":[[0,3],[4,11],[11,12],[13,16],[17,20],[21,27],[28,39],[40,43],[44,49],[50,55],[55,56],[57,60],[60,61],[62,66],[67,69],[70,73],[74,77],[78,86],[87,102],[103,105],[106,111],[112,117],[118,123],[124,132],[133,142],[143,147],[147,148],[149,156],[157,160],[161,166],[167,176],[177,185],[186,189],[190,195],[196,203],[204,215],[215,216],[217,219],[220,224],[225,236],[237,250],[250,251],[252,255],[256,259],[260,267],[268,273],[274,277],[278,283],[284,301],[302,307],[308,311],[312,317],[318,325],[326,330],[330,331],[332,342],[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],[20,20],[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":4.856900215148926} +{"basename":"brandes_naturlehre01_1830","par_idx":1849,"date":1830,"orig":"Der Winkel, bis zu welchem dieſes Pendel durch den Wind hinauf gehoben wird, beſtimmt die Gewalt und eben dadurch die Geſchwindigkeit des Windes, und man hat den Vortheil, die ungleiche Hebung, alſo auch die ungleiche Staͤrke des Windes in jedem Augenblicke beſonders beſtimmen zu koͤnnen.","norm":"Der Winkel, bis zu welchem dieses Pendel durch den Wind hinauf gehoben wird, bestimmt die Gewalt und eben dadurch die Geschwindigkeit des Windes, und man hat den Vorteil, die ungleiche Hebung, also auch die ungleiche Stärke des Windes in jedem Augenblicke besonders bestimmen zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1850,"date":1830,"orig":"Schmidt bemerkt, daß die ungleiche Art der Windſtoͤße, welche zuweilen langſam anſchwellend an Staͤrke zunehmen, zuweilen beinahe ploͤtzlich ihre groͤßte Gewalt erreichen, ſich bei dieſen Beobachtungen ſehr gut wahrnehmen laſſe.","norm":"Schmidt bemerkt, dass die ungleiche Art der Windstöße, welche zuweilen langsam anschwellend an Stärke zunehmen, zuweilen beinahe plötzlich ihre größte Gewalt erreichen, sich bei diesen Beobachtungen sehr gut wahrnehmen 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+{"basename":"brandes_naturlehre01_1830","par_idx":1859,"date":1830,"orig":"Beobachtet man naͤmlich bei großen Stroͤmen in demſelben Querſchnitte in der Mitte und an den Seiten des Stromes, an der Oberflaͤche und in der Tiefe, die Geſchwindigkeit, ſo erhaͤlt man die mittlere Geſchwindigkeit des Waſſers und kann aus der ausgemeſſenen Groͤße des Querſchnitts die Anzahl von Cubicfußen ausrechnen, die in 1 Secunde oder in laͤngerer Zeit durch dieſen Querſchnitt gehen.","norm":"Beobachtet man nämlich bei großen Strömen in demselben Querschnitte in der Mitte und an den Seiten des Stromes, an der Oberfläche und in der Tiefe, die Geschwindigkeit, so erhält man die mittlere Geschwindigkeit des Wassers und kann aus der ausgemessenen Größe des Querschnitts die Anzahl von Cubicfußen ausrechnen, die in 1 Sekunde oder in längerer Zeit durch diesen Querschnitt 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+{"basename":"brandes_naturlehre01_1830","par_idx":1860,"date":1830,"orig":"Obgleich nun dieſe Geſchwindigkeit im Laufe des Jahres ſehr wechſelnd, bei hohem Waſſer gewoͤhnlich am groͤßeſten iſt, ſo laͤßt ſich doch aus dem, was bei mittlerm Waſſerſtande gefunden wird, ein ziemlich allgemeiner Schluß ziehen, und auf ſolchen Beobachtungen, die freilich immer noch nicht zahlreich genug angeſtellt ſind, beruhen folgende Angaben.","norm":"Obgleich nun diese Geschwindigkeit im Laufe des Jahres sehr wechselnd, bei hohem Wasser gewöhnlich am größten ist, so lässt sich doch aus dem, was bei mittlerem Wasserstande gefunden wird, ein ziemlich allgemeiner Schluss ziehen, und auf solchen Beobachtungen, die freilich immer noch nicht zahlreich genug angestellt sind, beruhen folgende 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+{"basename":"brandes_naturlehre01_1830","par_idx":1861,"date":1830,"orig":"Die mittlere Geſchwindigkeit des Rheins bei Duͤſſeldorf rechnet man zu 3¼ Fuß in 1 Secunde in einem Querſchnitte von 12000 Quadratfußen; er fuͤhrt alſo in 1 Secunde 39000 Cubicfuß, in 1 Tage beinahe 3370 Millionen Cubicfuß Waſſer in die Nordſee; das betraͤgt im Jahre 1⅕ Billionen Cubicfuß, wozu aber auch 2000 Quadratmeilen, das iſt ungefehr 1 Billion Quadratfuß das Waſſer liefern.","norm":"Die mittlere Geschwindigkeit des Rheins bei Düsseldorf rechnet man zu 31/4 Fuß in 1 Sekunde in einem Querschnitte von 12000 Quadratfußen; er führt also in 1 Sekunde 39000 Kubikfuss, in 1 Tage beinahe 3370 Millionen Kubikfuss Wasser in die Nordsee; das beträgt im Jahre 1 1/5 Billionen Kubikfuss, wozu aber auch 2000 Quadratmeilen, das ist ungefähr 1 Billion Quadratfuß das Wasser 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+{"basename":"brandes_naturlehre01_1830","par_idx":1862,"date":1830,"orig":"Von der Donau wird angegeben, daß ſie 10 Billionen Cubicfuß jaͤhrlich ins Meer fuͤhre, was auch bei dem ſehr ausgedehnten Flußgebiete der Donau nicht zu verwundern iſt.","norm":"Von der Donau wird angegeben, dass sie 10 Billionen Kubikfuss jährlich ins Meer führe, was auch bei dem sehr ausgedehnten Flussgebiete der Donau nicht zu verwundern 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+{"basename":"brandes_naturlehre01_1830","par_idx":1863,"date":1830,"orig":"Hiebei wuͤrden ſich noch eine Menge von Unterſuchungen uͤber die mit groͤßerm Gefaͤlle der Oberflaͤche des Stromes zunehmende Geſchwindigkeit, uͤber die Ungleichheit dieſes Gefaͤlles in verſchiedenen Stromſtrecken und dergl. anſchließen; ich will indeß nur bei einer ſehr anziehenden Betrachtung verweilen, die Dupin mittheilt .","norm":"Hierbei würden sich noch eine Menge von Untersuchungen über die mit größerem Gefälle der Oberfläche des Stromes zunehmende Geschwindigkeit, über die Ungleichheit dieses Gefälles in verschiedenen Stromstrecken und dergl. anschließen; ich will indes nur bei einer sehr anziehenden Betrachtung verweilen, die Dupin 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+{"basename":"brandes_naturlehre01_1830","par_idx":1864,"date":1830,"orig":"Er nimmt an, daß auf dem Raume des ganzen Koͤnigreichs Frankreich zwiſchen 10 und 11 Billionen Cubicfuß Regenwaſſer fallen, wovon ungefehr ein Drittel durch die Stroͤme ins Meer gefuͤhrt werde; er bemerkt ferner, da der Theilungspunct des Canales von Burgund, welcher unter den Theilungspuncten aller franzoͤſiſchen Canaͤle am hoͤchſten liegt , nur eine Hoͤhe von 1313 Fuß uͤber dem Meere hat, ſo koͤnne man das mittlere Gefaͤlle aller dieſer Gewaͤſſer nicht uͤber 300 Fuß anſetzen; und nun gruͤndet er hierauf folgende Berechnung, welche nuͤtzliche Wirkung dieſes Waſſer leiſten koͤnnte, wenn man es ganz zu mechaniſchen Zwecken anzuwenden im Stande waͤre.","norm":"Er nimmt an, dass auf dem Raume des ganzen Königreichs Frankreich zwischen 10 und 11 Billionen Kubikfuss Regenwasser fallen, wovon ungefähr ein Drittel durch die Ströme ins Meer geführt werde; er bemerkt ferner, da der Teilungspunkt des Canales von Burgund, welcher unter den Teilungspunkten aller französischen Kanäle am höchsten liegt, nur eine Höhe von 1313 Fuß über dem Meere hat, so könne man das mittlere Gefälle aller dieser Gewässer nicht über 300 Fuß ansetzen; und nun gründet er hierauf folgende Berechnung, welche nützliche Wirkung dieses Wasser leisten könnte, wenn man es ganz zu mechanischen Zwecken anzuwenden im Stande 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mittelmaͤßigen Winde entgegengehen, ſo fuͤhlen wir ſchon dieſen Widerſtand, und wenn wir den Sturm die ſtaͤrkſten Baͤume umreißen ſehen, obgleich dieſer Sturm doch nur eine Geſchwindigkeit von etwa 100 Fuß in 1 Secunde hat, ſo uͤberzeugen wir uns wohl, daß eine mit 2000 Fuß Geſchwindigkeit fortbewegte Canonenkugel einen ſehr großen Widerſtand muß zu uͤberwinden haben.","norm":"Wir sind zwar gewohnt, die Luft als so dünne anzusehen, dass sie wohl nicht sehr als widerstehendes Mittel in Betracht kommen könne; aber wenn wir einem auch nur mittelmäßigen Winde entgegengehen, so fühlen wir schon diesen Widerstand, und wenn wir den Sturm die stärksten Bäume umreißen sehen, obgleich dieser Sturm doch nur eine Geschwindigkeit von etwa 100 Fuß in 1 Sekunde hat, so überzeugen wir uns wohl, dass eine mit 2000 Fuß Geschwindigkeit fortbewegte Kanonenkugel einen sehr großen Widerstand muss zu überwinden 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+{"basename":"brandes_naturlehre01_1830","par_idx":1894,"date":1830,"orig":"Um den Stoß, welchen die Gewalt des Sturmes bei einer Geſchwindigkeit von 120 Fuß in der Secunde ausuͤben wuͤrde, zu berechnen, iſt es hier am beſten, an die Elaſticitaͤt der Luft nicht zu denken, ſondern, ganz wie beim Waſſer, zu ſagen, zu einer Geſchwindigkeit von 120 Fuß gehoͤrt eine Fallhoͤhe von 240 Fuß, alſo hier ein 240 Fuß hohes Gefaͤß, um die zu einem ſo ſchnellen Ausfluſſe gehoͤrende Druckhoͤhe zu erhalten.","norm":"Um den Stoß, welchen die Gewalt des Sturmes bei einer Geschwindigkeit von 120 Fuß in der Sekunde ausüben würde, zu berechnen, ist es hier am besten, an die Elastizität der Luft nicht zu denken, sondern, ganz wie beim Wasser, zu sagen, zu einer Geschwindigkeit von 120 Fuß gehört eine Fallhöhe von 240 Fuß, also hier ein 240 Fuß hohes Gefäß, um die zu einem so schnellen Ausflusse gehörende Druckhöhe zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":1895,"date":1830,"orig":"Nehmen wir alſo die geſtoßene Flaͤche 1 Quadratfuß groß an, ſo iſt die Kraft des Stoßes wenigſtens dem Gewichte einer Luftſaͤule von 240 Cubicfuß, das iſt 21 Pfunden gleich, (weil ungefehr 11 Cubicfuß Luft 1 Pfund wiegen).","norm":"Nehmen wir also die gestoßene Fläche 1 Quadratfuß groß an, so ist die Kraft des Stoßes wenigstens dem Gewichte einer Luftsäule von 240 Kubikfuss, das ist 21 Pfunden gleich, (weil ungefähr 11 Kubikfuss Luft 1 Pfund 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+{"basename":"brandes_naturlehre01_1830","par_idx":1896,"date":1830,"orig":"Boͤte man alſo dem Winde eine Kreisflaͤche von 20 Fuß Durchmeſſer oder 300 Quadratfuß Inhalt dar, ſo litte dieſe einen Druck von 6000 Pfunden.","norm":"Böte man also dem Winde eine Kreisfläche von 20 Fuß Durchmesser oder 300 Quadratfuß Inhalt dar, so litte diese einen Druck von 6000 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+{"basename":"brandes_naturlehre01_1830","par_idx":1897,"date":1830,"orig":"Hiernach laͤßt ſich die auf einen dicht belaubten Baum von großer Krone ausgeuͤbte Gewalt berechnen, obgleich die Wirkung nicht ganz ſo groß, wie bei einer feſten Ebne iſt, und da nach Eytelwein's Verſuchen ein Stuͤck Eichenholz von 2 Zoll Seite im Querſchnitte und 66 Zoll vom Unterſtuͤtzungspuncte belaſtet, von 700 Pfund zerbrochen wurde, ſo muͤßte ein Eichbaum von 1 Fuß Durchmeſſer in einer Hoͤhe von 20 Fuß mit etwas mehr als 30000 Pfund Kraft ſeitwaͤrts gezogen werden, um zu brechen; aber dieſe Baͤume brechen auch gewoͤhnlich nicht von der Kraft des Windes, ſondern werden umgeſtuͤrzt, indem die Wurzel nachgiebt.","norm":"Hiernach lässt sich die auf einen dicht belaubten Baum von großer Krone ausgeübte Gewalt berechnen, obgleich die Wirkung nicht ganz so groß, wie bei einer festen Ebene ist, und danach Eytelweins Versuchen ein Stück Eichenholz von 2 Zoll Seite im Querschnitte und 66 Zoll vom 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wenn Luft mit der Geſchwindigkeit, welche der Druckhoͤhe = 1320 Fuß zukoͤmmt, das iſt mit 280 Fuß Geſchwindigkeit ſtieße, ſo betruͤge die Kraft des Stoßes 4½ Pfund; dieſe Kraft iſt wegen der Woͤlbung der Kugelflaͤche etwas geringer, nur 3 Pfund, und ſo groß iſt alſo der Widerſtand, welchen die 3 pfundige eiſerne Kugel bei 280 Fuß Geſchwindigkeit leidet.","norm":"Wenn auf diesen Querschnitt eine 1320 Fuß hohe Luftsäule drückte, oder wenn Luft mit der Geschwindigkeit, welche der Druckhöhe = 1320 Fuß zukommt, das ist mit 280 Fuß Geschwindigkeit stieße, so betrüge die Kraft des Stoßes 41/2 Pfund; diese Kraft ist wegen der Wölbung der Kugelfläche etwas geringer, nur 3 Pfund, und so groß ist also der Widerstand, welchen die 3 pfundige eiserne Kugel bei 280 Fuß Geschwindigkeit 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+{"basename":"brandes_naturlehre01_1830","par_idx":1907,"date":1830,"orig":"Wenn man Kugeln aus einerlei Materie, aber von ungleichem Halbmeſſer nimmt, ſo iſt der Exponent des Widerſtandes groͤßer bei den groͤßern, das heißt, bei freiem Falle kann die groͤßere eine ſchnellere Bewegung erlangen, ehe Widerſtand und Schwerkraft gleich ſtark wirken.","norm":"Wenn man Kugeln aus einerlei Materie, aber von ungleichem Halbmesser nimmt, so ist der Exponent des Widerstandes größer bei den größeren, das heißt, bei freiem Falle kann die größere eine schnellere Bewegung erlangen, ehe Widerstand und Schwerkraft gleich stark 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+{"basename":"brandes_naturlehre01_1830","par_idx":1908,"date":1830,"orig":"Allerdings naͤmlich iſt bei einer Kugel von doppelt ſo großem Durchmeſſer der geſammte Widerſtand, ſo wie der groͤßte Querſchnitt der Kugel, viermal ſo groß; aber das Gewicht der Kugel iſt achtmal ſo groß, als bei einfachem Durchmeſſer.","norm":"Allerdings nämlich ist bei einer Kugel von doppelt so großem Durchmesser der gesamte Widerstand, so wie der größte Querschnitt der Kugel, viermal so groß; aber das Gewicht der Kugel ist achtmal so groß, als bei einfachem Durchmesser.","orig_tok":["Allerdings","naͤmlich","iſt","bei","einer","Kugel","von","doppelt","ſo","großem","Durchmeſſer","der","geſammte","Widerſtand",",","ſo","wie","der","groͤßte","Querſchnitt","der","Kugel",",","viermal","ſo","groß",";","aber","das","Gewicht","der","Kugel","iſt","achtmal","ſo","groß",",","als","bei","einfachem","Durchmeſſer","."],"norm_tok":["Allerdings","nämlich","ist","bei","einer","Kugel","von","doppelt","so","großem","Durchmesser","der","gesamte","Widerstand",",","so","wie","der","größte","Querschnitt","der","Kugel",",","viermal","so","groß",";","aber","das","Gewicht","der","Kugel","ist","achtmal","so","groß",",","als","bei","einfachem","Durchmesser","."],"orig_spans":[[0,10],[11,19],[20,23],[24,27],[28,33],[34,39],[40,43],[44,51],[52,54],[55,61],[62,73],[74,77],[78,86],[87,97],[97,98],[99,101],[102,105],[106,109],[110,117],[118,129],[130,133],[134,139],[139,140],[141,148],[149,151],[152,156],[156,157],[158,162],[163,166],[167,174],[175,178],[179,184],[185,188],[189,196],[197,199],[200,204],[204,205],[206,209],[210,213],[214,223],[224,235],[235,236]],"norm_spans":[[0,10],[11,18],[19,22],[23,26],[27,32],[33,38],[39,42],[43,50],[51,53],[54,60],[61,72],[73,76],[77,84],[85,95],[95,96],[97,99],[100,103],[104,107],[108,114],[115,126],[127,130],[131,136],[136,137],[138,145],[146,148],[149,153],[153,154],[155,159],[160,163],[164,171],[172,175],[176,181],[182,185],[186,193],[194,196],[197,201],[201,202],[203,206],[207,210],[211,220],[221,232],[232,233]],"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":3.5580999851226798} +{"basename":"brandes_naturlehre01_1830","par_idx":1909,"date":1830,"orig":"Reichte alſo vorhin eine Druckhoͤhe von 1320 Fuß Luft aus, um den Druck gleich dem Gewichte der Kugel hervorzubringen, ſo muß dieſe Druckhoͤhe jetzt 2640 Fuß ſein, damit der Druck auf die viermal ſo große Flaͤche bis zum achtfachen ſteige; aber zu 2640 Fuß Hoͤhe gehoͤrt eine Geſchwindigkeit von beinahe 400 Fuß in der Secunde, und ſtatt daß die 3 pfuͤndige eiſerne Kugel hoͤchſtens 280 Fuß Geſchwindigkeit erlangt, kann dieſe Geſchwindigkeit bei der 24 pfuͤndigen, deren Durchmeſſer das Doppelte jener iſt, beinahe 400 Fuß werden.","norm":"Reichte also vorhin eine Druckhöhe von 1320 Fuß Luft aus, um den Druck gleich dem Gewichte der Kugel hervorzubringen, so muss diese Druckhöhe jetzt 2640 Fuß sein, damit der Druck auf die viermal so große Fläche bis zum achtfachen steige; aber zu 2640 Fuß Höhe gehört eine Geschwindigkeit von beinahe 400 Fuß in der Sekunde, und statt dass die 3 pfundige eiserne Kugel höchstens 280 Fuß Geschwindigkeit erlangt, kann diese Geschwindigkeit bei der 24 pfundigen, deren Durchmesser das Doppelte jener ist, beinahe 400 Fuß werden.","orig_tok":["Reichte","alſo","vorhin","eine","Druckhoͤhe","von","1320","Fuß","Luft","aus",",","um","den","Druck","gleich","dem","Gewichte","der","Kugel","hervorzubringen",",","ſo","muß","dieſe","Druckhoͤhe","jetzt","2640","Fuß","ſein",",","damit","der","Druck","auf","die","viermal","ſo","große","Flaͤche","bis","zum","achtfachen","ſteige",";","aber","zu","2640","Fuß","Hoͤhe","gehoͤrt","eine","Geſchwindigkeit","von","beinahe","400","Fuß","in","der","Secunde",",","und","ſtatt","daß","die","3","pfuͤndige","eiſerne","Kugel","hoͤchſtens","280","Fuß","Geſchwindigkeit","erlangt",",","kann","dieſe","Geſchwindigkeit","bei","der","24","pfuͤndigen",",","deren","Durchmeſſer","das","Doppelte","jener","iſt",",","beinahe","400","Fuß","werden","."],"norm_tok":["Reichte","also","vorhin","eine","Druckhöhe","von","1320","Fuß","Luft","aus",",","um","den","Druck","gleich","dem","Gewichte","der","Kugel","hervorzubringen",",","so","muss","diese","Druckhöhe","jetzt","2640","Fuß","sein",",","damit","der","Druck","auf","die","viermal","so","große","Fläche","bis","zum","achtfachen","steige",";","aber","zu","2640","Fuß","Höhe","gehört","eine","Geschwindigkeit","von","beinahe","400","Fuß","in","der","Sekunde",",","und","statt","dass","die","3","pfundige","eiserne","Kugel","höchstens","280","Fuß","Geschwindigkeit","erlangt",",","kann","diese","Geschwindigkeit","bei","der","24","pfundigen",",","deren","Durchmesser","das","Doppelte","jener","ist",",","beinahe","400","Fuß","werden","."],"orig_spans":[[0,7],[8,12],[13,19],[20,24],[25,35],[36,39],[40,44],[45,48],[49,53],[54,57],[57,58],[59,61],[62,65],[66,71],[72,78],[79,82],[83,91],[92,95],[96,101],[102,117],[117,118],[119,121],[122,125],[126,131],[132,142],[143,148],[149,153],[154,157],[158,162],[162,163],[164,169],[170,173],[174,179],[180,183],[184,187],[188,195],[196,198],[199,204],[205,212],[213,216],[217,220],[221,231],[232,238],[238,239],[240,244],[245,247],[248,252],[253,256],[257,262],[263,270],[271,275],[276,291],[292,295],[296,303],[304,307],[308,311],[312,314],[315,318],[319,326],[326,327],[328,331],[332,337],[338,341],[342,345],[346,347],[348,357],[358,365],[366,371],[372,382],[383,386],[387,390],[391,406],[407,414],[414,415],[416,420],[421,426],[427,442],[443,446],[447,450],[451,453],[454,464],[464,465],[466,471],[472,483],[484,487],[488,496],[497,502],[503,506],[506,507],[508,515],[516,519],[520,523],[524,530],[530,531]],"norm_spans":[[0,7],[8,12],[13,19],[20,24],[25,34],[35,38],[39,43],[44,47],[48,52],[53,56],[56,57],[58,60],[61,64],[65,70],[71,77],[78,81],[82,90],[91,94],[95,100],[101,116],[116,117],[118,120],[121,125],[126,131],[132,141],[142,147],[148,152],[153,156],[157,161],[161,162],[163,168],[169,172],[173,178],[179,182],[183,186],[187,194],[195,197],[198,203],[204,210],[211,214],[215,218],[219,229],[230,236],[236,237],[238,242],[243,245],[246,250],[251,254],[255,259],[260,266],[267,271],[272,287],[288,291],[292,299],[300,303],[304,307],[308,310],[311,314],[315,322],[322,323],[324,327],[328,333],[334,338],[339,342],[343,344],[345,353],[354,361],[362,367],[368,377],[378,381],[382,385],[386,401],[402,409],[409,410],[411,415],[416,421],[422,437],[438,441],[442,445],[446,448],[449,458],[458,459],[460,465],[466,477],[478,481],[482,490],[491,496],[497,500],[500,501],[502,509],[510,513],[514,517],[518,524],[524,525]],"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":4.307400226593018} +{"basename":"brandes_naturlehre01_1830","par_idx":1910,"date":1830,"orig":"Bei einer eiſernen Kugel von 4 mal ſo großem Durchmeſſer wuͤrde die Geſchwindigkeit 2.280 Fuß; bei einer Kugel von 9 mal ſo großem Durchmeſſer 3.280 Fuß ſein.","norm":"Bei einer eisernen Kugel von 4 Mal so großem Durchmesser würde die Geschwindigkeit 2.280 Fuß; bei einer Kugel von 9 Mal so großem Durchmesser 3.280 Fuß sein.","orig_tok":["Bei","einer","eiſernen","Kugel","von","4","mal","ſo","großem","Durchmeſſer","wuͤrde","die","Geſchwindigkeit","2.280","Fuß",";","bei","einer","Kugel","von","9","mal","ſo","großem","Durchmeſſer","3.280","Fuß","ſein","."],"norm_tok":["Bei","einer","eisernen","Kugel","von","4","Mal","so","großem","Durchmesser","würde","die","Geschwindigkeit","2.280","Fuß",";","bei","einer","Kugel","von","9","Mal","so","großem","Durchmesser","3.280","Fuß","sein","."],"orig_spans":[[0,3],[4,9],[10,18],[19,24],[25,28],[29,30],[31,34],[35,37],[38,44],[45,56],[57,63],[64,67],[68,83],[84,89],[90,93],[93,94],[95,98],[99,104],[105,110],[111,114],[115,116],[117,120],[121,123],[124,130],[131,142],[143,148],[149,152],[153,157],[157,158]],"norm_spans":[[0,3],[4,9],[10,18],[19,24],[25,28],[29,30],[31,34],[35,37],[38,44],[45,56],[57,62],[63,66],[67,82],[83,88],[89,92],[92,93],[94,97],[98,103],[104,109],[110,113],[114,115],[116,119],[120,122],[123,129],[130,141],[142,147],[148,151],[152,156],[156,157]],"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":3.470499992370605} +{"basename":"brandes_naturlehre01_1830","par_idx":1911,"date":1830,"orig":"Dieſe Berechnungen zeigen, warum die in der Luft abgeſchoſſenen Kugeln ſo ſehr geringe Weiten und Hoͤhen in Vergleichung gegen diejenigen Weiten und Hoͤhen erreichen, die ſie ohne Widerſtand erreichen ſollten.","norm":"Diese Berechnungen zeigen, warum die in der Luft abgeschossenen Kugeln so sehr geringe Weiten und Höhen in Vergleichung gegen diejenigen Weiten und Höhen erreichen, die sie ohne Widerstand erreichen sollten.","orig_tok":["Dieſe","Berechnungen","zeigen",",","warum","die","in","der","Luft","abgeſchoſſenen","Kugeln","ſo","ſehr","geringe","Weiten","und","Hoͤhen","in","Vergleichung","gegen","diejenigen","Weiten","und","Hoͤhen","erreichen",",","die","ſie","ohne","Widerſtand","erreichen","ſollten","."],"norm_tok":["Diese","Berechnungen","zeigen",",","warum","die","in","der","Luft","abgeschossenen","Kugeln","so","sehr","geringe","Weiten","und","Höhen","in","Vergleichung","gegen","diejenigen","Weiten","und","Höhen","erreichen",",","die","sie","ohne","Widerstand","erreichen","sollten","."],"orig_spans":[[0,5],[6,18],[19,25],[25,26],[27,32],[33,36],[37,39],[40,43],[44,48],[49,63],[64,70],[71,73],[74,78],[79,86],[87,93],[94,97],[98,104],[105,107],[108,120],[121,126],[127,137],[138,144],[145,148],[149,155],[156,165],[165,166],[167,170],[171,174],[175,179],[180,190],[191,200],[201,208],[208,209]],"norm_spans":[[0,5],[6,18],[19,25],[25,26],[27,32],[33,36],[37,39],[40,43],[44,48],[49,63],[64,70],[71,73],[74,78],[79,86],[87,93],[94,97],[98,103],[104,106],[107,119],[120,125],[126,136],[137,143],[144,147],[148,153],[154,163],[163,164],[165,168],[169,172],[173,177],[178,188],[189,198],[199,206],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.240600109100342} +{"basename":"brandes_naturlehre01_1830","par_idx":1912,"date":1830,"orig":"Ich habe fruͤher angefuͤhrt, daß eine mit 2000 Fuß Geſchwindigkeit unter 45 Grad Neigung geworfene Kugel bis 132000 Fuß oder 5½ geographiſche Meilen weit gehen wuͤrde, welches bekanntlich in hohem Grade von der Erfahrung abweicht; aber wenn wir eine Kugel nehmen, fuͤr welche der Exponent des Widerſtandes 400 Fuß iſt, und dieſe mit 2000 Fuß Geſchwindigkeit fortſchleudern, ſo leidet ſie im erſten Augenblicke bei dieſer in Vergleichung gegen den Exponenten des Widerſtandes fuͤnffach ſo großen Geſchwindigkeit einen 25 mal ſo großen Widerſtand als derjenige war, den wir der Schwerkraft gleich fanden.","norm":"Ich habe früher angeführt, dass eine mit 2000 Fuß Geschwindigkeit unter 45 Grad Neigung geworfene Kugel bis 132000 Fuß oder 51/2 geographische Meilen weit gehen würde, welches bekanntlich in hohem Grade von der Erfahrung abweicht; aber wenn wir eine Kugel nehmen, für welche der Exponent des Widerstandes 400 Fuß ist, und diese mit 2000 Fuß Geschwindigkeit fortschleudern, so leidet sie im ersten Augenblicke bei dieser in Vergleichung gegen den Exponenten des Widerstandes fünffach so großen Geschwindigkeit einen 25 Mal so großen Widerstand als derjenige war, den wir der Schwerkraft gleich 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+{"basename":"brandes_naturlehre01_1830","par_idx":1913,"date":1830,"orig":"Da nun die Schwere dem aufwaͤrts ſteigenden Koͤrper ſchon in [Formel] Secunde 1 Fuß Geſchwindigkeit raubt, ſo raubt dieſer Widerſtand in [Formel] Secunde 25 Fuß Geſchwindigkeit, und wuͤrde alſo in 1 Secunde 750 Fuß Geſchwindigkeit rauben, wenn nicht mit abnehmender Geſchwindigkeit auch der Widerſtand abnaͤhme.","norm":"Da nun die Schwere dem aufwärts steigenden Körper schon in [Formel] Sekunde 1 Fuß Geschwindigkeit raubt, so raubt dieser Widerstand in [Formel] Sekunde 25 Fuß Geschwindigkeit, und würde also in 1 Sekunde 750 Fuß Geschwindigkeit rauben, wenn nicht mit abnehmender Geschwindigkeit auch der Widerstand abnähme.","orig_tok":["Da","nun","die","Schwere","dem","aufwaͤrts","ſteigenden","Koͤrper","ſchon","in","[Formel]","Secunde","1","Fuß","Geſchwindigkeit","raubt",",","ſo","raubt","dieſer","Widerſtand","in","[Formel]","Secunde","25","Fuß","Geſchwindigkeit",",","und","wuͤrde","alſo","in","1","Secunde","750","Fuß","Geſchwindigkeit","rauben",",","wenn","nicht","mit","abnehmender","Geſchwindigkeit","auch","der","Widerſtand","abnaͤhme","."],"norm_tok":["Da","nun","die","Schwere","dem","aufwärts","steigenden","Körper","schon","in","[","Formel","]","Sekunde","1","Fuß","Geschwindigkeit","raubt",",","so","raubt","dieser","Widerstand","in","[","Formel","]","Sekunde","25","Fuß","Geschwindigkeit",",","und","würde","also","in","1","Sekunde","750","Fuß","Geschwindigkeit","rauben",",","wenn","nicht","mit","abnehmender","Geschwindigkeit","auch","der","Widerstand","abnähme","."],"orig_spans":[[0,2],[3,6],[7,10],[11,18],[19,22],[23,32],[33,43],[44,51],[52,57],[58,60],[61,69],[70,77],[78,79],[80,83],[84,99],[100,105],[105,106],[107,109],[110,115],[116,122],[123,133],[134,136],[137,145],[146,153],[154,156],[157,160],[161,176],[176,177],[178,181],[182,188],[189,193],[194,196],[197,198],[199,206],[207,210],[211,214],[215,230],[231,237],[237,238],[239,243],[244,249],[250,253],[254,265],[266,281],[282,286],[287,290],[291,301],[302,310],[310,311]],"norm_spans":[[0,2],[3,6],[7,10],[11,18],[19,22],[23,31],[32,42],[43,49],[50,55],[56,58],[59,60],[60,66],[66,67],[68,75],[76,77],[78,81],[82,97],[98,103],[103,104],[105,107],[108,113],[114,120],[121,131],[132,134],[135,136],[136,142],[142,143],[144,151],[152,154],[155,158],[159,174],[174,175],[176,179],[180,185],[186,190],[191,193],[194,195],[196,203],[204,207],[208,211],[212,227],[228,234],[234,235],[236,240],[241,246],[247,250],[251,262],[263,278],[279,283],[284,287],[288,298],[299,306],[306,307]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[10,10],[10,11],[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],[22,25],[22,26],[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],[38,42],[39,43],[40,44],[41,45],[42,46],[43,47],[44,48],[45,49],[46,50],[47,51],[48,52]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.610899925231934} +{"basename":"brandes_naturlehre01_1830","par_idx":1914,"date":1830,"orig":"Wenn man dieſe Rechnungen fortſetzt, ſo findet man fuͤr eine anfaͤngliche Geſchwindigkeit von 3000 Fuß in 1 Secunde, bei einem Neigungswinkel von 20 Graden, erſtlich daß die ſo geworfene Kugel im luftleeren Raume einen Bogen von 17600 Fuß hoch, und 193000 Fuß weit, uͤber einer horizontalen Ebne durchlaufen wuͤrde, zweitens daß eine Kugel, deren Exponent des Widerſtandes 400 Fuß iſt, das heißt eine eiſerne Kugel von 5,2 Zoll Durchmeſſer oder 23 bis 24 Pfund, oder eine bleierne Kugel von 3,6 Zoll Durchmeſſer oder 11 Pfund, oder eine Platinakugel von 2 Zoll Durchmeſſer oder 3⅓ Pfund, einen Bogen von 2450 Fuß hoch und 13400 Fuß weit durchliefe, drittens daß eine Kugel, deren Exponent des Widerſtandes 250 Fuß iſt, das heißt eine eiſerne Kugel von 2 Zoll Durchmeſſer oder [Formel] Pfund, eine bleierne von 1,4 Zoll Durchmeſſer oder [Formel] Pfund, nur bis zu 1290 Fuß ſteigen und nur 6350 Fuß weit gehen wuͤrde.","norm":"Wenn man diese Rechnungen fortsetzt, so findet man für eine anfängliche Geschwindigkeit von 3000 Fuß in 1 Sekunde, bei einem Neigungswinkel von 20 Geraden, erstlich dass die so geworfene Kugel im luftleeren Raume einen Bogen von 17600 Fuß hoch, und 193000 Fuß weit, über einer horizontalen Ebene durchlaufen würde, zweitens dass eine Kugel, deren Exponent des Widerstandes 400 Fuß ist, das heißt eine eiserne Kugel von 5,2 Zoll Durchmesser oder 23 bis 24 Pfund, oder eine bleierne Kugel von 3,6 Zoll Durchmesser oder 11 Pfund, oder eine Platinakugel von 2 Zoll Durchmesser oder 3 1/3 Pfund, einen Bogen von 2450 Fuß hoch und 13400 Fuß weit durchliefe, drittens dass eine Kugel, deren Exponent des Widerstandes 250 Fuß ist, das heißt eine eiserne Kugel von 2 Zoll Durchmesser oder [Formel] Pfund, eine bleierne von 1,4 Zoll Durchmesser oder [Formel] Pfund, nur bis zu 1290 Fuß steigen und nur 6350 Fuß weit gehen 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Fig. 58.","norm":"II. Fig. 58.","orig_tok":["II.","Fig.","58","."],"norm_tok":["II.","Fig",".","58."],"orig_spans":[[0,3],[4,8],[9,11],[11,12]],"norm_spans":[[0,3],[4,7],[7,8],[9,12]],"alignment":[[0,0],[1,1],[1,2],[2,3],[3,3]],"lang_fastText":"da","lang_py3langid":"en","lang_cld3":"ig","orig_lang_de":0,"norm_lmscore":4.147900104522705} +{"basename":"brandes_naturlehre01_1830","par_idx":1919,"date":1830,"orig":"Auf dieſem Widerſtande beruht es, daß wir mit Rudern das Schiff forttreiben, indem wir die breite Flaͤche des Ruders gegen das Waſſer druͤcken und ſo dem Schiffe eine Bewegung nach der entgegengeſetzten Richtung ertheilen.","norm":"Auf diesem Widerstande beruht es, dass wir mit Rudern das Schiff forttreiben, indem wir die breite Fläche des Ruders gegen das Wasser drücken und so dem Schiffe eine Bewegung nach der entgegengesetzten Richtung 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+{"basename":"brandes_naturlehre01_1830","par_idx":1921,"date":1830,"orig":"Die Kunſt des Schwimmens, daß man die Haͤnde oder Fuͤße kraͤftig ſtoßend gegen das Waſſer bewegt, und ſich entweder horizontal fortrudert, oder indem man vertical hinabwaͤrts wirkt, den Koͤrper hoͤher, als es ſonſt geſchehen wuͤrde, uͤber dem Waſſer hervorhebt, beruht auch auf dieſem Widerſtande.","norm":"Die Kunst des Schwimmens, dass man die Hände oder Füße kräftig stoßend gegen das Wasser bewegt, und sich entweder horizontal fortrudert, oder indem man vertikal hinabwärts wirkt, den Körper höher, als es sonst geschehen würde, über dem Wasser hervorhebt, beruht auch auf diesem 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+{"basename":"brandes_naturlehre01_1830","par_idx":1939,"date":1830,"orig":"Man hat dieſe Einrichtung im Großen ausgefuͤhrt, zum Betreiben von Maſchinen, unter dem Namen des Segner'ſchen Waſſerrades angewandt; aber dieſe Einrichtung nicht vortheilhaft genug gefunden.","norm":"Man hat diese Einrichtung im Großen ausgeführt, zum Betreiben von Maschinen, unter dem Namen des Segnärschen Wasserrades angewandt; aber diese Einrichtung nicht vorteilhaft genug 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+{"basename":"brandes_naturlehre01_1830","par_idx":1940,"date":1830,"orig":"Die Ruͤckwirkung zeigt ſich uns bei einigen andern Erſcheinungen, vorzuͤglich bei dem Zuruͤckprallen der Canone im Augenblicke des Abfeuerns.","norm":"Die Rückwirkung zeigt sich uns bei einigen anderen Erscheinungen, vorzüglich bei dem Zurückprallen der Kanone im Augenblicke des 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H, das Waſſer ſo betrachten, als ob es gar keiner Zuſammenpreſſung faͤhig waͤre; da aber dieſes nicht ganz der Fall iſt, ſo muß ich Ihnen doch die in neuern Zeiten oͤfter und ſorgfaͤltiger wiederholten Verſuche erzaͤhlen, welche einige Compreſſibilitaͤt des Waſſers zeigen.","norm":"Bei allen bis jetzt mitgeteilten Untersuchungen durfte ich, m. h. H, das Wasser so betrachten, als ob es gar keiner Zusammenpressung fähig wäre; da aber dieses nicht ganz der Fall ist, so muss ich Ihnen doch die in neueren Zeiten öfter und sorgfältiger wiederholten Versuche erzählen, welche einige Kompressibilität des Wassers 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Gefäßes her, und wird daher, obgleich aller Zufluss durch den Hahn b gehindert wird, ein wenig in dem engen Röhrchen hinaufsteigen, wenn irgend die Kompression dazu erheblich genug 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+{"basename":"brandes_naturlehre01_1830","par_idx":1953,"date":1830,"orig":"Dieſe Verſuche erlauben eine große Genauigkeit, weil eine Linie der engen Roͤhre nur wenig uͤber ein Milliontel der im Gefaͤße AB enthaltenen Waſſermaſſe enthaͤlt, und daher ein Steigen von 4 Linien, wie Pfaff es bei einer durch 20 Zoll Waſſerhoͤhe bewirkten Compreſſion beobachtete, einer Zuſammendruͤckung, die nur ungefehr [Formel] iſt, entſpricht.","norm":"Diese Versuche erlauben eine große Genauigkeit, weil eine Linie der engen Röhre nur wenig über ein Milliontele der im Gefäße AB enthaltenen Wassermasse enthält, und daher ein Steigen von 4 Linien, wie Pfaff es bei einer durch 20 Zoll Wasserhöhe bewirkten Kompression beobachtete, einer Zusammendrückung, die nur ungefähr [Formel] ist, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1954,"date":1830,"orig":"Staͤrkere Preſſungen haben Derſtaͤdt, Perkins, Sturm und Colladon angewandt, und ſich dabei des Piezometers bedient, eines Inſtrumentes, das aus einer ſehr feinen, uͤberall gleich weiten Roͤhre AB (Fig. 114.) und einem daran angeſchmelzten Gefaͤße BC beſteht.","norm":"Stärkere Pressungen haben Derstädt, Perkins, Sturm und Colladon angewandt, und sich dabei des Piezometers bedient, eines Instrumentes, das aus einer sehr feinen, überall gleich weiten Röhre AB (Fig. 114.) und einem daran angeschmelzten Gefäße BC 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+{"basename":"brandes_naturlehre01_1830","par_idx":1955,"date":1830,"orig":"Dieſes Inſtrument wird bis zu ſeinem Nullpuncte mit der zu pruͤfenden Fluͤſſigkeit gefuͤllt, und dann in einer Roͤhre DFE von ſtarkem Glaſe, in welcher die Luft durch eine Compreſſionspumpe bei E verdichtet werden kann, eingeſchloſſen.","norm":"Dieses Instrument wird bis zu seinem Nullpunkte mit der zu prüfenden Flüssigkeit gefüllt, und dann in einer Röhre DFE von starkem Glase, in welcher die Luft durch eine Kompressionspumpe bei E verdichtet werden kann, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1956,"date":1830,"orig":"Indem man nun durch den bei E angebrachten Kolben die das Inſtrument ABC umgebende Luft zuſammenpreßt, ſo leidet auch die in dieſem offenen Gefaͤße ABC enthaltene Fluͤſſigkeit eben den Druck und geht in eineu engern Raum, den man an der Scale wahrnimmt, zuſammen; das Gefaͤß ABC aber, welches von innen und außen gleichen Druck leidet, kann weder zerſprengt werden, noch auch ſeinen innern Raum erheblich veraͤndern, (wenigſtens nur um ſo viel, als das von beiden Seiten der Waͤnde ſtark gedruͤckte Glas ſein Volumen aͤndert,) und wenn alſo zum Beiſpiel 1 Linie der Roͤhre AB ein Milliontel des Gefaͤßes C betraͤgt, ſo laſſen ſich die Milliontel der Raum-Aenderung noch wahrnehmen.","norm":"Indem man nun durch den bei E angebrachten Kolben die das Instrument ABC umgebende Luft zusammenpresst, so leidet auch die in diesem offenen Gefäße ABC enthaltene Flüssigkeit eben den Druck und geht in eineu engeren Raum, den man an der Scale wahrnimmt, zusammen; das Gefäß ABC aber, welches von innen und außen gleichen Druck leidet, kann weder zersprengt werden, noch auch seinen inneren Raum erheblich verändern, (wenigstens nur um so viel, als das von beiden Seiten der Wände stark gedrückte Glas sein Volumen ändert,) und wenn also zum Beispiel 1 Linie der Röhre AB ein Milliontele des Gefäßes C beträgt, so lassen sich die Milliontele der Raum-Änderung noch 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+{"basename":"brandes_naturlehre01_1830","par_idx":1958,"date":1830,"orig":"Die Verſuche wurden bis zu Preſſungen, die 24 mal ſo ſtark als der Druck der Atmoſphaͤre waren, fortgeſetzt, und ſo eine Zuſammendruͤckung, die uͤber ein Tauſendtel des ganzen Volumens betrug, bewirkt.","norm":"Die Versuche wurden bis zu Pressungen, die 24 Mal so stark als der Druck der Atmosphäre waren, fortgesetzt, und so eine Zusammendrückung, die über ein Tausendtele des ganzen Volumens betrug, 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+{"basename":"brandes_naturlehre01_1830","par_idx":1959,"date":1830,"orig":"Auch das Queckſilber zeigt bei dieſen Verſuchen eine geringe Verminderung der Ausdehnung bei großem Drucke.","norm":"Auch das Quecksilber zeigt bei diesen Versuchen eine geringe Verminderung der Ausdehnung bei großem 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untere Gefaͤß mit Luft, die nun offenbar verduͤnnt iſt, erfuͤllt, bis man die erwaͤrmende Hand wegnimmt, wo bei der Abkuͤhlung die Verminderung der Luft ſich dadurch zeigt, daß Waſſer durch die enge Roͤhre in den untern Raum eindringt.","norm":"Erwärmt man nun diesen unteren Teil des Gefäßes mit der Hand, so dringt eine Luftblase nach der anderen durch das Wasser hervor, und dennoch bleibt das untere Gefäß mit Luft, die nun offenbar verdünnt ist, erfüllt, bis man die erwärmende Hand wegnimmt, wo bei der Abkühlung die Verminderung der Luft sich dadurch zeigt, dass Wasser durch die enge Röhre in den unteren Raum 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+{"basename":"brandes_naturlehre01_1830","par_idx":1988,"date":1830,"orig":"Wir nehmen ein hohes Gefaͤß, ein Glas oder eine am einen Ende verſchloſſene Roͤhre AB, laſſen dieſes Gefaͤß, ganz unter Waſſer getaucht, ſich mit Waſſer fuͤllen, und bringen nun die offene Muͤndung zu unterſt, um ſo das mit Waſſer gefuͤllte Gefaͤß mit dem geſchloſſenen Ende aus der umgebenden Waſſerflaͤche hervorzuheben, waͤhrend die Muͤndung unter Waſſer bleibt; dann finden wir, daß wir ſo eine Waſſerſaͤule von bedeutender Hoͤhe uͤber die Oberflaͤche des Waſſers hervorheben koͤnnen.","norm":"Wir nehmen ein hohes Gefäß, ein Glas oder eine am einen Ende verschlossene Röhre AB, lassen dieses Gefäß, ganz unter Wasser getaucht, sich mit Wasser füllen, und bringen nun die offene Mündung zu unterst, um so das mit Wasser gefüllte Gefäß mit dem geschlossenen Ende aus der umgebenden Wasserfläche hervorzuheben, während die Mündung unter Wasser bleibt; dann finden wir, dass wir so eine Wassersäule von bedeutender Höhe über die Oberfläche des Wassers hervorheben 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dieses Steigen auf, wenn der Kolben eine Höhe von ungefähr 32 Füßen erreicht hat, und bei noch weiterem Hinaufziehen bleibt ein von Luft und Wasser leerer Raum unter dem 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+{"basename":"brandes_naturlehre01_1830","par_idx":1997,"date":1830,"orig":"Der Verſuch laͤßt ſich mit einer am Ende geſchloſſenen Roͤhre auch ſo wiederholen, daß man ſie ganz mit Queckſilber fuͤllt, ihr offenes Ende mit dem Daumen verſchließt, und ſie dann umgekehrt mit der Muͤndung in ein Gefaͤß mit Queckſilber taucht; nimmt man, nachdem die ganze Oeffnung ſich unter Queckſilber befindet, den verſchließenden Daumen weg, ſo ſenkt ſich zwar die Oberflaͤche des Queckſilbers in der Roͤhre, aber bleibt auf ungefehr 28 Zoll hoch ſtehen, und wir haben nun unſer gewoͤhnliches Barometer.","norm":"Der Versuch lässt sich mit einer am Ende geschlossenen Röhre auch so wiederholen, dass man sie ganz mit Quecksilber füllt, ihr offenes Ende mit dem Daumen verschließt, und sie dann umgekehrt mit der Mündung in ein Gefäß mit Quecksilber taucht; nimmt man, nachdem die ganze Öffnung sich unter Quecksilber befindet, den verschließenden Daumen weg, so senkt sich zwar die Oberfläche des Quecksilbers in der Röhre, aber bleibt auf ungefähr 28 Zoll hochstehen, und wir haben nun unser gewöhnliches Barometer.","orig_tok":["Der","Verſuch","laͤßt","ſich","mit","einer","am","Ende","geſchloſſenen","Roͤhre","auch","ſo","wiederholen",",","daß","man","ſie","ganz","mit","Queckſilber","fuͤllt",",","ihr","offenes","Ende","mit","dem","Daumen","verſchließt",",","und","ſie","dann","umgekehrt","mit","der","Muͤndung","in","ein","Gefaͤß","mit","Queckſilber","taucht",";","nimmt","man",",","nachdem","die","ganze","Oeffnung","ſich","unter","Queckſilber","befindet",",","den","verſchließenden","Daumen","weg",",","ſo","ſenkt","ſich","zwar","die","Oberflaͤche","des","Queckſilbers","in","der","Roͤhre",",","aber","bleibt","auf","ungefehr","28","Zoll","hoch","ſtehen",",","und","wir","haben","nun","unſer","gewoͤhnliches","Barometer","."],"norm_tok":["Der","Versuch","lässt","sich","mit","einer","am","Ende","geschlossenen","Röhre","auch","so","wiederholen",",","dass","man","sie","ganz","mit","Quecksilber","füllt",",","ihr","offenes","Ende","mit","dem","Daumen","verschließt",",","und","sie","dann","umgekehrt","mit","der","Mündung","in","ein","Gefäß","mit","Quecksilber","taucht",";","nimmt","man",",","nachdem","die","ganze","Öffnung","sich","unter","Quecksilber","befindet",",","den","verschließenden","Daumen","weg",",","so","senkt","sich","zwar","die","Oberfläche","des","Quecksilbers","in","der","Röhre",",","aber","bleibt","auf","ungefähr","28","Zoll","hochstehen",",","und","wir","haben","nun","unser","gewöhnliches","Barometer","."],"orig_spans":[[0,3],[4,11],[12,17],[18,22],[23,26],[27,32],[33,35],[36,40],[41,54],[55,61],[62,66],[67,69],[70,81],[81,82],[83,86],[87,90],[91,94],[95,99],[100,103],[104,115],[116,122],[122,123],[124,127],[128,135],[136,140],[141,144],[145,148],[149,155],[156,167],[167,168],[169,172],[173,176],[177,181],[182,191],[192,195],[196,199],[200,208],[209,211],[212,215],[216,222],[223,226],[227,238],[239,245],[245,246],[247,252],[253,256],[256,257],[258,265],[266,269],[270,275],[276,284],[285,289],[290,295],[296,307],[308,316],[316,317],[318,321],[322,337],[338,344],[345,348],[348,349],[350,352],[353,358],[359,363],[364,368],[369,372],[373,384],[385,388],[389,401],[402,404],[405,408],[409,415],[415,416],[417,421],[422,428],[429,432],[433,441],[442,444],[445,449],[450,454],[455,461],[461,462],[463,466],[467,470],[471,476],[477,480],[481,486],[487,500],[501,510],[510,511]],"norm_spans":[[0,3],[4,11],[12,17],[18,22],[23,26],[27,32],[33,35],[36,40],[41,54],[55,60],[61,65],[66,68],[69,80],[80,81],[82,86],[87,90],[91,94],[95,99],[100,103],[104,115],[116,121],[121,122],[123,126],[127,134],[135,139],[140,143],[144,147],[148,154],[155,166],[166,167],[168,171],[172,175],[176,180],[181,190],[191,194],[195,198],[199,206],[207,209],[210,213],[214,219],[220,223],[224,235],[236,242],[242,243],[244,249],[250,253],[253,254],[255,262],[263,266],[267,272],[273,280],[281,285],[286,291],[292,303],[304,312],[312,313],[314,317],[318,333],[334,340],[341,344],[344,345],[346,348],[349,354],[355,359],[360,364],[365,368],[369,379],[380,383],[384,396],[397,399],[400,403],[404,409],[409,410],[411,415],[416,422],[423,426],[427,435],[436,438],[439,443],[444,454],[454,455],[456,459],[460,463],[464,469],[470,473],[474,479],[480,492],[493,502],[502,503]],"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],[80,79],[81,80],[82,81],[83,82],[84,83],[85,84],[86,85],[87,86],[88,87],[89,88]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.015100002288818} +{"basename":"brandes_naturlehre01_1830","par_idx":1998,"date":1830,"orig":"Ich habe fruͤher einmal gelegentlich darauf hingedeutet, daß das Barometer ſich mit derjenigen zweiſchenklichen Roͤhre, in welcher zwei ungleiche Fluͤſſigkeiten einander gegenuͤberſtehen, vergleichen laſſe, und dieſe Vergleichung laͤßt ſich hier vollſtaͤndiger uͤberſehen.","norm":"Ich habe früher einmal gelegentlich darauf hingedeutet, dass das Barometer sich mit derjenigen Zweischenklichen Röhre, in welcher zwei ungleiche Flüssigkeiten einander gegenüberstehen, vergleichen lasse, und diese Vergleichung lässt sich hier vollständiger übersehen.","orig_tok":["Ich","habe","fruͤher","einmal","gelegentlich","darauf","hingedeutet",",","daß","das","Barometer","ſich","mit","derjenigen","zweiſchenklichen","Roͤhre",",","in","welcher","zwei","ungleiche","Fluͤſſigkeiten","einander","gegenuͤberſtehen",",","vergleichen","laſſe",",","und","dieſe","Vergleichung","laͤßt","ſich","hier","vollſtaͤndiger","uͤberſehen","."],"norm_tok":["Ich","habe","früher","einmal","gelegentlich","darauf","hingedeutet",",","dass","das","Barometer","sich","mit","derjenigen","Zweischenklichen","Röhre",",","in","welcher","zwei","ungleiche","Flüssigkeiten","einander","gegenüberstehen",",","vergleichen","lasse",",","und","diese","Vergleichung","lässt","sich","hier","vollständiger","übersehen","."],"orig_spans":[[0,3],[4,8],[9,16],[17,23],[24,36],[37,43],[44,55],[55,56],[57,60],[61,64],[65,74],[75,79],[80,83],[84,94],[95,111],[112,118],[118,119],[120,122],[123,130],[131,135],[136,145],[146,160],[161,169],[170,186],[186,187],[188,199],[200,205],[205,206],[207,210],[211,216],[217,229],[230,235],[236,240],[241,245],[246,260],[261,271],[271,272]],"norm_spans":[[0,3],[4,8],[9,15],[16,22],[23,35],[36,42],[43,54],[54,55],[56,60],[61,64],[65,74],[75,79],[80,83],[84,94],[95,111],[112,117],[117,118],[119,121],[122,129],[130,134],[135,144],[145,158],[159,167],[168,183],[183,184],[185,196],[197,202],[202,203],[204,207],[208,213],[214,226],[227,232],[233,237],[238,242],[243,256],[257,266],[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],[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":4.874899864196777} +{"basename":"brandes_naturlehre01_1830","par_idx":1999,"date":1830,"orig":"Koͤnnten wir uͤber dem Gefaͤße DE eine Luftſaͤule bis zum Ende der Atmoſphaͤre hinauf in eine Roͤhre einſchließen, ſo waͤre die Vergleichung ganz vollſtaͤndig, und der Druck der ſehr hohen Luftſaͤule in der langen Roͤhre, erhielte die Queckſilberſaͤule in der kurzen Roͤhre im Gleichgewichte; aber auch ohne dieſe Roͤhre iſt die Vergleichung hinreichend zutreffend, da es auf die Geſtalt der Roͤhre bei jenem Gegendrucke der beiden Fluͤſſigkeiten nicht ankommt.","norm":"Könnten wir über dem Gefäße DE eine Luftsäule bis zum Ende der Atmosphäre hinauf in eine Röhre einschließen, so wäre die Vergleichung ganz vollständig, und der Druck der sehr hohen Luftsäule in der langen Röhre, erhielte die Quecksilbersäule in der kurzen Röhre im Gleichgewichte; aber auch ohne diese Röhre ist die Vergleichung hinreichend zutreffend, da es auf die Gestalt der Röhre bei jenem Gegendrucke der beiden Flüssigkeiten nicht ankommt.","orig_tok":["Koͤnnten","wir","uͤber","dem","Gefaͤße","DE","eine","Luftſaͤule","bis","zum","Ende","der","Atmoſphaͤre","hinauf","in","eine","Roͤhre","einſchließen",",","ſo","waͤre","die","Vergleichung","ganz","vollſtaͤndig",",","und","der","Druck","der","ſehr","hohen","Luftſaͤule","in","der","langen","Roͤhre",",","erhielte","die","Queckſilberſaͤule","in","der","kurzen","Roͤhre","im","Gleichgewichte",";","aber","auch","ohne","dieſe","Roͤhre","iſt","die","Vergleichung","hinreichend","zutreffend",",","da","es","auf","die","Geſtalt","der","Roͤhre","bei","jenem","Gegendrucke","der","beiden","Fluͤſſigkeiten","nicht","ankommt","."],"norm_tok":["Könnten","wir","über","dem","Gefäße","DE","eine","Luftsäule","bis","zum","Ende","der","Atmosphäre","hinauf","in","eine","Röhre","einschließen",",","so","wäre","die","Vergleichung","ganz","vollständig",",","und","der","Druck","der","sehr","hohen","Luftsäule","in","der","langen","Röhre",",","erhielte","die","Quecksilbersäule","in","der","kurzen","Röhre","im","Gleichgewichte",";","aber","auch","ohne","diese","Röhre","ist","die","Vergleichung","hinreichend","zutreffend",",","da","es","auf","die","Gestalt","der","Röhre","bei","jenem","Gegendrucke","der","beiden","Flüssigkeiten","nicht","ankommt","."],"orig_spans":[[0,8],[9,12],[13,18],[19,22],[23,30],[31,33],[34,38],[39,49],[50,53],[54,57],[58,62],[63,66],[67,78],[79,85],[86,88],[89,93],[94,100],[101,113],[113,114],[115,117],[118,123],[124,127],[128,140],[141,145],[146,158],[158,159],[160,163],[164,167],[168,173],[174,177],[178,182],[183,188],[189,199],[200,202],[203,206],[207,213],[214,220],[220,221],[222,230],[231,234],[235,252],[253,255],[256,259],[260,266],[267,273],[274,276],[277,291],[291,292],[293,297],[298,302],[303,307],[308,313],[314,320],[321,324],[325,328],[329,341],[342,353],[354,364],[364,365],[366,368],[369,371],[372,375],[376,379],[380,387],[388,391],[392,398],[399,402],[403,408],[409,420],[421,424],[425,431],[432,446],[447,452],[453,460],[460,461]],"norm_spans":[[0,7],[8,11],[12,16],[17,20],[21,27],[28,30],[31,35],[36,45],[46,49],[50,53],[54,58],[59,62],[63,73],[74,80],[81,83],[84,88],[89,94],[95,107],[107,108],[109,111],[112,116],[117,120],[121,133],[134,138],[139,150],[150,151],[152,155],[156,159],[160,165],[166,169],[170,174],[175,180],[181,190],[191,193],[194,197],[198,204],[205,210],[210,211],[212,220],[221,224],[225,241],[242,244],[245,248],[249,255],[256,261],[262,264],[265,279],[279,280],[281,285],[286,290],[291,295],[296,301],[302,307],[308,311],[312,315],[316,328],[329,340],[341,351],[351,352],[353,355],[356,358],[359,362],[363,366],[367,374],[375,378],[379,384],[385,388],[389,394],[395,406],[407,410],[411,417],[418,431],[432,437],[438,445],[445,446]],"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":4.173799991607666} +{"basename":"brandes_naturlehre01_1830","par_idx":2000,"date":1830,"orig":"Das Barometer dient uns alſo, um den Druck oder das Gewicht der ganzen uͤber uns ſtehenden Luftſaͤule abzumeſſen.","norm":"Das Barometer dient uns also, um den Druck oder das Gewicht der ganzen über uns stehenden Luftsäule abzumessen.","orig_tok":["Das","Barometer","dient","uns","alſo",",","um","den","Druck","oder","das","Gewicht","der","ganzen","uͤber","uns","ſtehenden","Luftſaͤule","abzumeſſen","."],"norm_tok":["Das","Barometer","dient","uns","also",",","um","den","Druck","oder","das","Gewicht","der","ganzen","über","uns","stehenden","Luftsäule","abzumessen","."],"orig_spans":[[0,3],[4,13],[14,19],[20,23],[24,28],[28,29],[30,32],[33,36],[37,42],[43,47],[48,51],[52,59],[60,63],[64,70],[71,76],[77,80],[81,90],[91,101],[102,112],[112,113]],"norm_spans":[[0,3],[4,13],[14,19],[20,23],[24,28],[28,29],[30,32],[33,36],[37,42],[43,47],[48,51],[52,59],[60,63],[64,70],[71,75],[76,79],[80,89],[90,99],[100,110],[110,111]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.056000232696533} +{"basename":"brandes_naturlehre01_1830","par_idx":2001,"date":1830,"orig":"Steht das Queckſilber im Barometer 28 Zoll hoch, ſo iſt der Druck der Luft auf jede beſtimmte Flaͤche ſo groß, als wenn eine Queckſilberſaͤule von 28 Zoll hoch uͤber dieſer Flaͤche errichtet waͤre; faͤllt das Queckſilber im Barometer, ſo zeigt uns dies einen verminderten Druck der Luft an, indem ſie jetzt nicht mehr im Stande iſt, einer ſo hohen Queckſilberſaͤule das Gleichgewicht zu halten.","norm":"Steht das Quecksilber im Barometer 28 Zoll hoch, so ist der Druck der Luft auf jede bestimmte Fläche so groß, als wenn eine Quecksilbersäule von 28 Zoll hoch über dieser Fläche errichtet wäre; fällt das Quecksilber im Barometer, so zeigt uns dies einen verminderten Druck der Luft an, indem sie jetzt nicht mehr im Stande ist, einer so hohen Quecksilbersäule das Gleichgewicht zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2002,"date":1830,"orig":"Verſchiedene Arten des Barometers.","norm":"Verschiedene Arten des Barometers.","orig_tok":["Verſchiedene","Arten","des","Barometers","."],"norm_tok":["Verschiedene","Arten","des","Barometers","."],"orig_spans":[[0,12],[13,18],[19,22],[23,33],[33,34]],"norm_spans":[[0,12],[13,18],[19,22],[23,33],[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":3.969899892807007} +{"basename":"brandes_naturlehre01_1830","par_idx":2003,"date":1830,"orig":"Regeln bei der Beobachtung.","norm":"Regeln bei der 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+{"basename":"brandes_naturlehre01_1830","par_idx":2006,"date":1830,"orig":"Es beſteht aus einer ziemlich weiten, oben geſchloſſenen Glasroͤhre, die mit Queckſilber gefuͤllt und mit ihrer Oeffnung unten in ein Gefaͤß mit Queckſilber getaucht iſt, wie Fig. 119. es zeigt.","norm":"Es besteht aus einer ziemlich weiten, oben geschlossenen Glasröhre, die mit Quecksilber gefüllt und mit ihrer Öffnung unten in ein Gefäß mit Quecksilber getaucht ist, wie Fig. 119. es 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+{"basename":"brandes_naturlehre01_1830","par_idx":2007,"date":1830,"orig":"Iſt hier die Roͤhre weit genug und der Raum oberhalb des in der Roͤhre enthaltenen Queckſilbers voͤllig luftleer, ſo findet ſich kein Hinderniß, wodurch die Einwirkung des Druckes der aͤußern Luft aufgehalten wuͤrde, und die Hoͤhe der Queckſilberſaͤule giebt genau den von der freien Luft ausgeuͤbten Druck an.","norm":"Ist hier die Röhre weit genug und der Raum oberhalb des in der Röhre enthaltenen Quecksilbers völlig luftleer, so findet sich kein Hindernis, wodurch die Einwirkung des Druckes der äußeren Luft aufgehalten würde, und die Höhe der Quecksilbersäule gibt genau den von der freien Luft ausgeübten Druck 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+{"basename":"brandes_naturlehre01_1830","par_idx":2009,"date":1830,"orig":"Die zweite Art von Barometern, das Heberbarometer (Fig. 118.), iſt in manchen Hinſichten bequemer, aber nicht ganz ſo empfindlich.","norm":"Die zweite Art von Barometern, das Heberbarometer (Fig. 118.), ist in manchen Hinsichten bequemer, aber nicht ganz so 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+{"basename":"brandes_naturlehre01_1830","par_idx":2011,"date":1830,"orig":"Es iſt nicht ganz ſo empfindlich, als das aus einer graden Roͤhre beſtehende Gefaͤßbarometer, weil der Widerſtand, den das Queckſilber in der Kruͤmmung der Roͤhre findet, immer etwas erheblicher iſt.","norm":"Es ist nicht ganz so empfindlich, als das aus einer geraden Röhre bestehende Gefäßbarometer, weil der Widerstand, den das Quecksilber in der Krümmung der Röhre findet, immer etwas erheblicher 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+{"basename":"brandes_naturlehre01_1830","par_idx":2012,"date":1830,"orig":"In beiden Arten von Barometern muß der Raum oberhalb der hoͤchſten Queckſilberflaͤche voͤllig luftleer ſein, damit dieſe Oberflaͤche im vollkommenſten Sinne frei von allem Drucke der Luft ſei, und die Hoͤhe der Queckſilberſaͤule, welche von der untern Oberflaͤche B an, vertical hinauf gemeſſen wird, den voͤlligen Druck der aͤußern Luft angebe.","norm":"In beiden Arten von Barometern muss der Raum oberhalb der höchsten Quecksilberfläche völlig luftleer sein, damit diese Oberfläche im vollkommensten Sinne frei von allem Drucke der Luft sei, und die Höhe der Quecksilbersäule, welche von der unteren Oberfläche B an, vertikal hinauf gemessen wird, den völligen Druck der äußeren Luft 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+{"basename":"brandes_naturlehre01_1830","par_idx":2028,"date":1830,"orig":"Damit man ſie genau richtig ſtellen koͤnne, bedient man ſich des Microſcopes.","norm":"Damit man sie genau richtig stellen könne, bedient man sich des Mikroskopes.","orig_tok":["Damit","man","ſie","genau","richtig","ſtellen","koͤnne",",","bedient","man","ſich","des","Microſcopes","."],"norm_tok":["Damit","man","sie","genau","richtig","stellen","könne",",","bedient","man","sich","des","Mikroskopes","."],"orig_spans":[[0,5],[6,9],[10,13],[14,19],[20,27],[28,35],[36,42],[42,43],[44,51],[52,55],[56,60],[61,64],[65,76],[76,77]],"norm_spans":[[0,5],[6,9],[10,13],[14,19],[20,27],[28,35],[36,41],[41,42],[43,50],[51,54],[55,59],[60,63],[64,75],[75,76]],"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":4.125500202178955} +{"basename":"brandes_naturlehre01_1830","par_idx":2029,"date":1830,"orig":"Der erſte Theilſtrich zeigt uns nun zwar die ganzen Linien der Barometerhoͤhe an der Scale ſogleich an, aber wir verlangen wenigſtens auch noch die Zehntel der Linie nicht bloß zu ſchaͤtzen, ſondern genau abzuleſen; hiezu dient der Ronius oder Vernier, deſſen Einrichtung folgende iſt.","norm":"Der erste Teilstrich zeigt uns nun zwar die ganzen Linien der Barometerhöhe an der Scale sogleich an, aber wir verlangen wenigstens auch noch die Zehntel der Linie nicht bloß zu schätzen, sondern genau abzulesen; hierzu dient der Ronius oder Vernier, dessen Einrichtung folgende 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+{"basename":"brandes_naturlehre01_1830","par_idx":2030,"date":1830,"orig":"Statt daß auf der Scale ſelbſt die einzelnen Linien aufgetragen ſind, hat man in der Theilung auf dem beweglichen Stuͤcke, welche den Vernier oder Ronius darſtellt, den Raum von 9 Linien in 10 gleiche Theile getheilt.","norm":"Statt dass auf der Scale selbst die einzelnen Linien aufgetragen sind, hat man in der Teilung auf dem beweglichen Stücke, welche den Vernier oder Ronius darstellt, den Raum von 9 Linien in 10 gleiche Teile 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+{"basename":"brandes_naturlehre01_1830","par_idx":2031,"date":1830,"orig":"Treffen alſo (Fig. 120.) bei c zwei Theilſtriche, der Scale naͤmlich und des Vernier, genau zuſammen, ſo ſind die naͤchſten d, e um [Formel] Linie, die zweiten folgenden f und g um zwei zehntel aus einander, und wenn der Inder, naͤmlich die mit dem am Vernier befindlichen Haare zuſammentreffende Linie, um fuͤnf Zehntel von der vollen Linientheilung der Scale abſteht, ſo erkennen wir dies an dem genauen Zuſammentreffen des fuͤnften Theilſtriches.","norm":"Treffen also (Fig. 120.) bei c zwei Teilstriche, der Scale nämlich und des Vernier, genau zusammen, so sind die nächsten d, e um [Formel] Linie, die zweiten folgenden f und g um zwei Zehntel auseinander, und wenn der Inder, nämlich die mit dem am Vernier befindlichen Haare zusammentreffende Linie, um fünf Zehntel von der vollen Linienteilung der Scale absteht, so erkennen wir dies an dem genauen Zusammentreffen des fünften 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+{"basename":"brandes_naturlehre01_1830","par_idx":2033,"date":1830,"orig":"Ich wuͤrde mich bei dieſen genauen Anweiſungen nicht ſo lange aufhalten, wenn es nicht ein Inſtrument betraͤfe, das in aller Menſchen Haͤnden iſt, und von welchem Sie ſelbſt gewiß oft eine moͤglichſt genaue Anwendung zu machen wuͤnſchen.","norm":"Ich würde mich bei diesen genauen Anweisungen nicht so lange aufhalten, wenn es nicht ein Instrument beträfe, das in aller Menschen Händen ist, und von welchem Sie selbst gewiss oft eine möglichst genaue Anwendung zu machen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2039,"date":1830,"orig":"Da nun die Erfahrung uns zeigt, daß die Waͤrme alle Koͤrper und ſo auch das Queckſilber ausdehnt, ſo muß das waͤrmere Queckſilber etwas hoͤher ſtehen, als kaltes.","norm":"Da nun die Erfahrung uns zeigt, dass die Wärme alle Körper und so auch das Quecksilber ausdehnt, so muss das wärmere Quecksilber etwas höher stehen, als 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+{"basename":"brandes_naturlehre01_1830","par_idx":2040,"date":1830,"orig":"Daß dieſer Unterſchied nicht unerheblich iſt, davon kann man ſich im Winter am beſten uͤberzeugen, wenn man zwei ganz gleiche Barometer beobachtet, deren eines in einem kalten Raume, das andre nahe am Ofen aufgehaͤngt iſt.","norm":"Dass dieser Unterschied nicht unerheblich ist, davon kann man sich im Winter am besten überzeugen, wenn man zwei ganz gleiche Barometer beobachtet, deren eines in einem kalten Raume, das andere nahe am Ofen aufgehängt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2041,"date":1830,"orig":"Hier iſt es leicht zu erreichen, daß der Waͤrme-Unterſchied 25 Grade der achtzigtheiligen Thermometerſcale betraͤgt , und in dieſem Falle wird das in der Waͤrme haͤngende Barometer beinahe 2 Linien hoͤher ſtehen, als das andre, wenn das letztere ungefehr auf 28 Zoll ſteht.","norm":"Hier ist es leicht zu erreichen, dass der Wärmeunterschied 25 Grade der achtzigteiligen Thermometerscala beträgt, und in diesem Falle wird das in der Wärme hängende Barometer beinahe 2 Linien höher stehen, als das andere, wenn das letztere ungefähr auf 28 Zoll 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+{"basename":"brandes_naturlehre01_1830","par_idx":2042,"date":1830,"orig":"Will man alſo Barometerbeobachtungen mit Genauigkeit anſtellen, ſo muß man zugleich vermittelſt des Thermometers die Waͤrme beobachten, und die beobachtete Barometerhoͤhe fuͤr jeden Reaumuͤr'ſchen Grad um [Formel] , oder fuͤr jeden Centeſimalgrad um [Formel] corrigieren.","norm":"Will man also Barometerbeobachtungen mit Genauigkeit anstellen, so muss man zugleich vermittels des Thermometers die Wärme beobachten, und die beobachtete Barometerhöhe für jeden Reaumür'schen Grad um [Formel], oder für jeden Centesimalgrad um [Formel] 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+{"basename":"brandes_naturlehre01_1830","par_idx":2043,"date":1830,"orig":"Man reducirt am liebſten auf den Nullgrad der Temperatur, das heißt, da warmes Queckſilber und kaltes Queckſilber nicht als ein und derſelbe Koͤrper in Hinſicht auf die ſpecifiſche Schwere anzuſehen ſind, ſo mißt man den Druck der Luft mit demjenigen Queckſilber ab, deſſen Waͤrme der des gefrierenden Waſſers oder des ſchmelzenden Eiſes gleich iſt. —","norm":"Man reduziert am liebsten auf den Nullgrad der Temperatur, das heißt, da warmes Quecksilber und kaltes Quecksilber nicht als ein und derselbe Körper in Hinsicht auf die spezifische Schwere anzusehen sind, so misst man den Druck der Luft mit demjenigen Quecksilber ab, dessen Wärme der des gefrierenden Wassers oder des schmelzenden Eises gleich ist . 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+{"basename":"brandes_naturlehre01_1830","par_idx":2044,"date":1830,"orig":"Daß dieſe Genauigkeit nothwendig iſt, wird ſogleich noch vollſtaͤndiger erhellen.","norm":"Dass diese Genauigkeit notwendig ist, wird sogleich noch vollständiger erhellen.","orig_tok":["Daß","dieſe","Genauigkeit","nothwendig","iſt",",","wird","ſogleich","noch","vollſtaͤndiger","erhellen","."],"norm_tok":["Dass","diese","Genauigkeit","notwendig","ist",",","wird","sogleich","noch","vollständiger","erhellen","."],"orig_spans":[[0,3],[4,9],[10,21],[22,32],[33,36],[36,37],[38,42],[43,51],[52,56],[57,71],[72,80],[80,81]],"norm_spans":[[0,4],[5,10],[11,22],[23,32],[33,36],[36,37],[38,42],[43,51],[52,56],[57,70],[71,79],[79,80]],"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":5.557700157165527} +{"basename":"brandes_naturlehre01_1830","par_idx":2045,"date":1830,"orig":"Unſre gewoͤhnlichen Queckſilberthermometer ſind faſt alle ſo getheilt, daß ſie Null zeigen, wenn man das Thermometer in gefrierendes Waſſer taucht, und daß ſie entweder 80 Grade oder 100 Grade zeigen, wenn man ſie in kochendes Waſſer bringt.","norm":"Unsere gewöhnlichen Quecksilberthermometer sind fast alle so geteilt, dass sie Null zeigen, wenn man das Thermometer in gefrierendes Wasser taucht, und dass sie entweder 80 Grade oder 100 Grade zeigen, wenn man sie in kochendes Wasser 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+{"basename":"brandes_naturlehre01_1830","par_idx":2046,"date":1830,"orig":"Die Eintheilung von 80 Graden heißt die Reaumuͤr'ſche, die Eintheilung von 100 Graden die Centeſimal-Theilung.","norm":"Die Einteilung von 80 Geraden heißt die Reaumür'sche, die Einteilung von 100 Geraden die 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Lehre von der Waͤrme vor.","norm":"Die übrigen Bestimmungen kommen in der Lehre von der Wärme vor.","orig_tok":["Die","uͤbrigen","Beſtimmungen","kommen","in","der","Lehre","von","der","Waͤrme","vor","."],"norm_tok":["Die","übrigen","Bestimmungen","kommen","in","der","Lehre","von","der","Wärme","vor","."],"orig_spans":[[0,3],[4,12],[13,25],[26,32],[33,35],[36,39],[40,45],[46,49],[50,53],[54,60],[61,64],[64,65]],"norm_spans":[[0,3],[4,11],[12,24],[25,31],[32,34],[35,38],[39,44],[45,48],[49,52],[53,58],[59,62],[62,63]],"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":5.181300163269043} +{"basename":"brandes_naturlehre01_1830","par_idx":2048,"date":1830,"orig":"Hoͤhenmeſſung mit dem Barometer.","norm":"Höhenmessung mit dem 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+{"basename":"brandes_naturlehre01_1830","par_idx":2050,"date":1830,"orig":"Dieſer Beweis ergiebt ſich daraus, daß das Queckſilber im Barometer ſinkt, wenn wir das Barometer an einen hoͤhern Ort bringen.","norm":"Dieser Beweis ergibt sich daraus, dass das Quecksilber im Barometer sinkt, wenn wir das Barometer an einen höheren Ort 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+{"basename":"brandes_naturlehre01_1830","par_idx":2053,"date":1830,"orig":"Dieſe Beobachtungen bieten uns ein weites Feld zu weiteren Unterſuchungen dar, denn es erhellt, daß wir nur das Geſetz, nach welchem ſich dieſes Fallen des Barometers in hoͤhern Standpuncten richtet, naͤher kennen zu lernen brauchen, um das Barometer, als ein Inſtrument zum Hoͤhenmeſſen anzuwenden.","norm":"Diese Beobachtungen bieten uns ein weites Feld zu weiteren Untersuchungen dar, denn es erhellt, dass wir nur das Gesetz, nach welchem sich dieses Fallen des Barometers in höheren Standpunkten richtet, näher kennen zu lernen brauchen, um das Barometer, als ein Instrument zum Höhenmessen anzuwenden.","orig_tok":["Dieſe","Beobachtungen","bieten","uns","ein","weites","Feld","zu","weiteren","Unterſuchungen","dar",",","denn","es","erhellt",",","daß","wir","nur","das","Geſetz",",","nach","welchem","ſich","dieſes","Fallen","des","Barometers","in","hoͤhern","Standpuncten","richtet",",","naͤher","kennen","zu","lernen","brauchen",",","um","das","Barometer",",","als","ein","Inſtrument","zum","Hoͤhenmeſſen","anzuwenden","."],"norm_tok":["Diese","Beobachtungen","bieten","uns","ein","weites","Feld","zu","weiteren","Untersuchungen","dar",",","denn","es","erhellt",",","dass","wir","nur","das","Gesetz",",","nach","welchem","sich","dieses","Fallen","des","Barometers","in","höheren","Standpunkten","richtet",",","näher","kennen","zu","lernen","brauchen",",","um","das","Barometer",",","als","ein","Instrument","zum","Höhenmessen","anzuwenden","."],"orig_spans":[[0,5],[6,19],[20,26],[27,30],[31,34],[35,41],[42,46],[47,49],[50,58],[59,73],[74,77],[77,78],[79,83],[84,86],[87,94],[94,95],[96,99],[100,103],[104,107],[108,111],[112,118],[118,119],[120,124],[125,132],[133,137],[138,144],[145,151],[152,155],[156,166],[167,169],[170,177],[178,190],[191,198],[198,199],[200,206],[207,213],[214,216],[217,223],[224,232],[232,233],[234,236],[237,240],[241,250],[250,251],[252,255],[256,259],[260,270],[271,274],[275,287],[288,298],[298,299]],"norm_spans":[[0,5],[6,19],[20,26],[27,30],[31,34],[35,41],[42,46],[47,49],[50,58],[59,73],[74,77],[77,78],[79,83],[84,86],[87,94],[94,95],[96,100],[101,104],[105,108],[109,112],[113,119],[119,120],[121,125],[126,133],[134,138],[139,145],[146,152],[153,156],[157,167],[168,170],[171,178],[179,191],[192,199],[199,200],[201,206],[207,213],[214,216],[217,223],[224,232],[232,233],[234,236],[237,240],[241,250],[250,251],[252,255],[256,259],[260,270],[271,274],[275,286],[287,297],[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],[50,50]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.052000045776367} +{"basename":"brandes_naturlehre01_1830","par_idx":2054,"date":1830,"orig":"Wenn man von zwei Barometern, die neben einander haͤngend beide genau gleich, 28 Zoll hoch, ſtanden, das eine zu einem 73 Fuß hoͤhern Standpuncte bringt, ſo faͤllt es um eine Linie, und wir ſchließen daher, daß eine Luftſaͤule von 73 Fuß hoch, oder 876 Zoll oder 10512 Linien hoch, ebenſoviel wiegt, als eine Queckſilberſaͤule von 1 Linie hoch bei gleichem Querſchnitte, das heißt, wir finden, daß die uns umgebende, von der ganzen obern Luft zuſammengedruͤckte Luft nur [Formel] ſo dicht als Queckſilber, alſo nur ungefehr [Formel] ſo dicht als Waſſer iſt.","norm":"Wenn man von zwei Barometern, die nebeneinander hängend beide genau gleich, 28 Zoll hoch, standen, das eine zu einem 73 Fuß höheren Standpunkte bringt, so fällt es um eine Linie, und wir schließen daher, dass eine Luftsäule von 73 Fuß hoch, oder 876 Zoll oder 10512 Linien hoch, ebenso viel wiegt, als eine Quecksilbersäule von 1 Linie hoch bei gleichem Querschnitte, das heißt, wir finden, dass die uns umgebende, von der ganzen oberen Luft zusammengedrückte Luft nur [Formel] so dicht als Quecksilber, also nur ungefähr [Formel] so dicht als Wasser 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sie in höheren Standpunkten weniger dicht sein, und selbst nachdem wir nur um 73 Fuß höher gestiegen sind, und ein Sinken des Quecksilbers von einer Linie beobachtet haben, befinden wir uns in einer minder dichten Luft, und müssen etwas mehr als 73 Fuß hochsteigen, damit das Quecksilber wieder um eine Linie falle, und jedes folgende Sinken des Quecksilbers bei höherem Steigen gehört, wenn es 1 Linie beträgt, mit höheren Luftsäulen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2057,"date":1830,"orig":"Dies koͤnnte ſo geſchehen, daß wir da, wo das Barometer genau 28 Zoll hoch ſteht, zu der Hoͤhe hinaufſtiegen, wo das Barometer 1 Linie gefallen iſt, und eben die Beobachtung in großen Hoͤhen, wo das Barometer auf 21 Zoll und endlich auf 14 Zoll ſteht, wiederholten; wir wuͤrden dieſe Hoͤhen im erſten Standpuncte nahe an 73 Fuß, im zweiten nahe an 109½ Fuß, im dritten nahe an 146 Fuß finden, und ſchließen, daß ſich die Dichtigkeit wie der Druck verhalte, daß man alſo da, wo der Druck und halb ſo groß (= 14 Zoll) iſt, doppelt ſo hoch ſteigen muͤſſe, als da, wo er 28 Zoll war, um den Druck um 1 Linie vermindert zu ſehen.","norm":"Dies könnte so geschehen, dass wir da, wo das Barometer genau 28 Zoll hochsteht, zu der Höhe hinaufstiegen, wo das Barometer 1 Linie gefallen ist, und eben die Beobachtung in großen Höhen, wo das Barometer auf 21 Zoll und endlich auf 14 Zoll steht, wiederholten; wir würden diese Höhen im ersten Standpunkte nahe an 73 Fuß, im zweiten nahe an 1091/2 Fuß, im dritten nahe an 146 Fuß finden, und schließen, dass sich die Dichtigkeit wie der Druck verhalte, dass man also da, wo der Druck und halb so groß (= 14 Zoll) ist, doppelt so hoch steigen müsse, als da, wo er 28 Zoll war, um den Druck um 1 Linie vermindert zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2058,"date":1830,"orig":"Da aber dieſe Beobachtung manche Schwierigkeit darbietet, ſo hat man jenes Geſetz, welches das Mariottiſche Geſetz heißt, durch folgende Verſuche beſtaͤtiget.","norm":"Da aber diese Beobachtung manche Schwierigkeit darbietet, so hat man jenes Gesetz, welches das Mariottische Gesetz heißt, durch folgende Versuche bestätiget.","orig_tok":["Da","aber","dieſe","Beobachtung","manche","Schwierigkeit","darbietet",",","ſo","hat","man","jenes","Geſetz",",","welches","das","Mariottiſche","Geſetz","heißt",",","durch","folgende","Verſuche","beſtaͤtiget","."],"norm_tok":["Da","aber","diese","Beobachtung","manche","Schwierigkeit","darbietet",",","so","hat","man","jenes","Gesetz",",","welches","das","Mariottische","Gesetz","heißt",",","durch","folgende","Versuche","bestätiget","."],"orig_spans":[[0,2],[3,7],[8,13],[14,25],[26,32],[33,46],[47,56],[56,57],[58,60],[61,64],[65,68],[69,74],[75,81],[81,82],[83,90],[91,94],[95,107],[108,114],[115,120],[120,121],[122,127],[128,136],[137,145],[146,157],[157,158]],"norm_spans":[[0,2],[3,7],[8,13],[14,25],[26,32],[33,46],[47,56],[56,57],[58,60],[61,64],[65,68],[69,74],[75,81],[81,82],[83,90],[91,94],[95,107],[108,114],[115,120],[120,121],[122,127],[128,136],[137,145],[146,156],[156,157]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.091300010681152} +{"basename":"brandes_naturlehre01_1830","par_idx":2059,"date":1830,"orig":"Man nimmt eine zweiſchenkliche Roͤhre, deren kurzer Schenkel uͤberall von genau gleicher Weite iſt, und deren langer Schenkel wenigſtens das drei- oder vierfache der Barometerhoͤhe, das iſt, 3 bis 4 mal 28 Zoll lang iſt.","norm":"Man nimmt eine Zweischenklichen Röhre, deren kurzer Schenkel überall von genau gleicher Weite ist, und deren langer Schenkel wenigstens das drei- oder vierfache der Barometerhöhe, das ist, 3 bis 4 Mal 28 Zoll lang 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+{"basename":"brandes_naturlehre01_1830","par_idx":2060,"date":1830,"orig":"Man fuͤllt zuerſt die Roͤhre bis AB, (Fig. 122.) ſo daß die Luft in dem Schenkel AC eingeſchloſſen iſt, ohne noch verdichtet zu ſein; dann gießt man in B mehr Queckſilber auf, und dieſes bewirkt auch in A ein Steigen, aber die nun verdichtete Luft widerſteht dem Steigen des Queckſilbers, ſo daß es im andern Schenkel viel hoͤher ſteigt.","norm":"Man füllt zuerst die Röhre bis AB, (Fig. 122.) so dass die Luft in dem Schenkel AC eingeschlossen ist, ohne noch verdichtet zu sein; dann gießt man in B mehr Quecksilber auf, und dieses bewirkt auch in A ein Steigen, aber die nun verdichtete Luft widersteht dem Steigen des Quecksilbers, so dass es im anderen Schenkel viel höher 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so groß ist, als der, welchen die Luft bei einfacher Dichtigkeit 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aber werde bei C die Oeffnung luftdicht verſchloſſen, und hierauf bei A ſo viel Queckſilber weggenommen, bis die Luft CE ſich in den doppelten Raum CF ausgedehnt habe; dann wird die andre Oberflaͤche in G um 14 Zoll niedriger, als F ſtehen, und daraus ſich ergeben, daß der auf G ausgeuͤbte Druck der Atmoſphaͤre einem Drucke von 14 Zoll Queckſilber, nebſt dem Druck der halb ſo dichten Luft das Gleichgewicht haͤlt; dieſer letztere erſetzt alſo den Druck von 14 Zoll Queckſilber, weil wir die Barometerhoͤhe = 28 Zoll annehmen.","norm":"Um eben diese Prüfung des Mariottischen Gesetzes bei Verdünnung der Luft anzustellen, wollen wir annehmen, die Röhre ABC (Fig. 123.) sei zuerst an beiden Enden offen und werde so gefüllt, dass DE die Oberfläche des Quecksilbers sei; nun aber werde bei C die Öffnung luftdicht verschlossen, und hierauf bei A so viel Quecksilber weggenommen, bis die Luft CE sich in den doppelten Raum CF ausgedehnt habe; dann wird die andere Oberfläche in G um 14 Zoll niedriger, als F stehen, und daraus sich ergeben, dass der auf G ausgeübte Druck der Atmosphäre einem Drucke von 14 Zoll Quecksilber, nebst dem Druck der halb so dichten Luft das Gleichgewicht hält; dieser letztere ersetzt also den Druck von 14 Zoll Quecksilber, weil wir die Barometerhöhe = 28 Zoll 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+{"basename":"brandes_naturlehre01_1830","par_idx":2065,"date":1830,"orig":"Nehmen wir abermals bei A Queckſilber weg, ſo lange bis die Luft in CH einen dreimal ſo großen Raum einnimmt, als ſie bei natuͤrlicher Dichtigkeit einnahm, ſo finden wir die Oberflaͤche 1 um 18⅔ Zoll tiefer, als die Oberflaͤche H; die auf ein Drittel ihrer natuͤrlichen Dichtigkeit gebrachte Luft haͤlt na��mlich nur noch eine Queckſilberſaͤule = ⅓ ⋅ 28 = 9⅓ Zoll hoch, und dem geſammten Drucke der aͤußern Luft wird daher durch dieſen Druck und 18⅔ Zoll Queckſilber das Gleichgewicht gehalten.","norm":"Nehmen wir abermals bei A Quecksilber weg, solange bis die Luft in CH einen dreimal so großen Raum einnimmt, als sie bei natürlicher Dichtigkeit einnahm, so finden wir die Oberfläche 1 um 18 2/3 Zoll tiefer, als die Oberfläche H; die auf ein Drittel ihrer natürlichen Dichtigkeit gebrachte Luft hält nämlich nur noch eine Quecksilbersäule = ⅓ ⋅ 28 = 9 1/3 Zoll hoch, und dem gesamten Drucke der äußeren Luft wird daher durch diesen Druck und 18 2/3 Zoll Quecksilber das Gleichgewicht 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+{"basename":"brandes_naturlehre01_1830","par_idx":2068,"date":1830,"orig":"Um dieſe Vergleichung anzuſtellen, wollen wir uns eine Tafel berechnen, und dabei bemerken, daß wir bei 28 Zoll oder 336 Linien Barometerhoͤhe 73 Fuß ſteigen muͤſſen, damit das Barometer auf 335 Linien hoch ſtehe, daß wir aber nun [Formel] ⋅ 73 Fuß ſteigen muͤſſen, damit es bis zu 334 Linien falle, daß wir dann aufs Neue [Formel] ⋅ 73 Fuß ſteigen muͤſſen, damit es auf 333 Linien falle und ſo ferner.","norm":"Um diese Vergleichung anzustellen, wollen wir uns eine Tafel berechnen, und dabei bemerken, dass wir bei 28 Zoll oder 336 Linien Barometerhöhe 73 Fuß steigen müssen, damit das Barometer auf 335 Linien hochstehe, dass wir aber nun [Formel] ⋅ 73 Fuß steigen müssen, damit es bis zu 334 Linien falle, dass wir dann aufs Neue [Formel] ⋅ 73 Fuß steigen müssen, damit es auf 333 Linien falle und so 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+{"basename":"brandes_naturlehre01_1830","par_idx":2069,"date":1830,"orig":"So finden wir","norm":"So finden wir","orig_tok":["So","finden","wir"],"norm_tok":["So","finden","wir"],"orig_spans":[[0,2],[3,9],[10,13]],"norm_spans":[[0,2],[3,9],[10,13]],"alignment":[[0,0],[1,1],[2,2]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.231299877166748} +{"basename":"brandes_naturlehre01_1830","par_idx":2070,"date":1830,"orig":"die Barometerhoͤhe = 336‴ auf der Hoͤhe = 0 Fuß, 335‴ auf der Hoͤhe = 73,000 Fuß, 334‴ auf der Hoͤhe = 146,218 Fuß, 333‴ auf der Hoͤhe = 219,655 Fuß, 332‴ auf der Hoͤhe = 293,313 Fuß, 331‴ auf der Hoͤhe = 367,193 Fuß, 330‴ auf der Hoͤhe = 441,296 Fuß, 329‴ auf der Hoͤhe = 515,623 Fuß, 328‴ auf der Hoͤhe = 590,176 Fuß, 327 auf der Hoͤhe = 664,956 Fuß, 326 auf der Hoͤhe = 739,965 Fuß, 325 auf der Hoͤhe = 815,204 Fuß, 324 auf der Hoͤhe = 890,674 Fuß, 323 auf der Hoͤhe = 966,378 Fuß, 322 auf der Hoͤhe = 1042,316 Fuß, 321 auf der Hoͤhe = 1118,490 Fuß, 320 auf der Hoͤhe = 1194,900 Fuß, 319 auf der Hoͤhe = 1271,551 Fuß, 318 auf der Hoͤhe = 1348,441 Fuß, 317 auf der Hoͤhe = 1425,573 Fuß, 316 auf der Hoͤhe = 1502,948 Fuß,","norm":"die Barometerhöhe = 336 ‴ auf der Höhe = 0 Fuß, 335 ‴ auf der Höhe = 73,000 Fuß, 334 ‴ auf der Höhe = 146,218 Fuß, 333 ‴ auf der Höhe = 219,655 Fuß, 332 ‴ auf der Höhe = 293,313 Fuß, 331 ‴ auf der Höhe = 367,193 Fuß, 330 ‴ auf der Höhe = 441,296 Fuß, 329 ‴ auf der Höhe = 515,623 Fuß, 328 ‴ auf der Höhe = 590,176 Fuß, 327 auf der Höhe = 664,956 Fuß, 326 auf der Höhe = 739,965 Fuß, 325 auf der Höhe = 815,204 Fuß, 324 auf der Höhe = 890,674 Fuß, 323 auf der Höhe = 966,378 Fuß, 322 auf der Höhe = 1042,316 Fuß, 321 auf der Höhe = 1118,490 Fuß, 320 auf der Höhe = 1194,900 Fuß, 319 auf der Höhe = 1271,551 Fuß, 318 auf der Höhe = 1348,441 Fuß, 317 auf der Höhe = 1425,573 Fuß, 316 auf der Höhe = 1502,948 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fortführen lässt, wäre es nun leicht, sogleich aus dem beobachteten Stande des Barometers zu wissen, auf welcher Höhe man sich über dem Standpunkte befindet, wo das Barometer 28 Zoll hochsteht; wenn nicht die Wärme, deren ungleiche Grade die Luft in einen mehr oder minder dichten Zustand versetzen, hier noch berücksichtigt werden 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Waͤrme auf 28 Zoll ſteht, ſo ſinkt es auf 27 Zoll 11 Linien, wenn man es in die Eiskaͤlte bringt; und wenn es bei - 13⅕ Gr. oder bei einer ſo viel Grade unter Null betragenden Kaͤlte auf 28 Zoll ſteht, ſo ſteigt es auf 28 Zoll 1 Lin., wenn man es in die Nulltemperatur bringt.","norm":"Diese Korrektion beträgt für 10 Grade [Formel], also für 13 1/5 Grade fast genau [Formel] oder 1 Linie auf 28 Zoll, das heißt, wenn das Barometer bei 13 1/5 Gr. 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+{"basename":"brandes_naturlehre01_1830","par_idx":2086,"date":1830,"orig":"Wenn wir die Waͤrme am Fuße des Berges 12 Grad und an ſeinem Gipfel 8 Grad finden, ſo nehmen wir 10 Grad als die Waͤrme der ganzen Luftſaͤule an; aber etwas genauer angeſtellte Beobachtungen zeigen, daß dieſe Beſtimmung des Mittels oft ſehr bedeutend fehlerhaft iſt.","norm":"Wenn wir die Wärme am Fuße des Berges 12 Grad und an seinem Gipfel 8 Grad finden, so nehmen wir 10 Grad als die Wärme der ganzen Luftsäule an; aber etwas genauer angestellte Beobachtungen zeigen, dass diese Bestimmung des Mittels oft sehr bedeutend fehlerhaft 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+{"basename":"brandes_naturlehre01_1830","par_idx":2087,"date":1830,"orig":"In den Mittagsſtunden erwaͤrmt bei heiterem Wetter der Boden ſich ſo ſehr, daß nahe an der Erde eine große Erhitzung bemerkt wird, die in Hoͤhen von einigen hundert Fuß von der Erde ganz aufhoͤrt; denken wir daran nicht, daß dieſe Waͤrme nur auf den unterſten Theil der Luftſaͤule eingeſchraͤnkt iſt, und laſſen uns dadurch verleiten, die ganze Luftſaͤule als um 1 Grad zu warm anzuſehen, ſo berechnen wir einen Berg von 2130 Fuß um 10 Fuß zu hoch.","norm":"In den Mittagsstunden erwärmt bei heiterem Wetter der Boden sich so sehr, dass nahe an der Erde eine große Erhitzung bemerkt wird, die in Höhen von einigen hundert Fuß von der Erde ganz aufhört; denken wir daran nicht, dass diese Wärme nur auf den untersten Teil der Luftsäule eingeschränkt ist, und lassen uns dadurch verleiten, die ganze Luftsäule als um 1 Grad zu warm anzusehen, so berechnen wir einen Berg von 2130 Fuß um 10 Fuß zu hoch.","orig_tok":["In","den","Mittagsſtunden","erwaͤrmt","bei","heiterem","Wetter","der","Boden","ſich","ſo","ſehr",",","daß","nahe","an","der","Erde","eine","große","Erhitzung","bemerkt","wird",",","die","in","Hoͤhen","von","einigen","hundert","Fuß","von","der","Erde","ganz","aufhoͤrt",";","denken","wir","daran","nicht",",","daß","dieſe","Waͤrme","nur","auf","den","unterſten","Theil","der","Luftſaͤule","eingeſchraͤnkt","iſt",",","und","laſſen","uns","dadurch","verleiten",",","die","ganze","Luftſaͤule","als","um","1","Grad","zu","warm","anzuſehen",",","ſo","berechnen","wir","einen","Berg","von","2130","Fuß","um","10","Fuß","zu","hoch","."],"norm_tok":["In","den","Mittagsstunden","erwärmt","bei","heiterem","Wetter","der","Boden","sich","so","sehr",",","dass","nahe","an","der","Erde","eine","große","Erhitzung","bemerkt","wird",",","die","in","Höhen","von","einigen","hundert","Fuß","von","der","Erde","ganz","aufhört",";","denken","wir","daran","nicht",",","dass","diese","Wärme","nur","auf","den","untersten","Teil","der","Luftsäule","eingeschränkt","ist",",","und","lassen","uns","dadurch","verleiten",",","die","ganze","Luftsäule","als","um","1","Grad","zu","warm","anzusehen",",","so","berechnen","wir","einen","Berg","von","2130","Fuß","um","10","Fuß","zu","hoch","."],"orig_spans":[[0,2],[3,6],[7,21],[22,30],[31,34],[35,43],[44,50],[51,54],[55,60],[61,65],[66,68],[69,73],[73,74],[75,78],[79,83],[84,86],[87,90],[91,95],[96,100],[101,106],[107,116],[117,124],[125,129],[129,130],[131,134],[135,137],[138,144],[145,148],[149,156],[157,164],[165,168],[169,172],[173,176],[177,181],[182,186],[187,195],[195,196],[197,203],[204,207],[208,213],[214,219],[219,220],[221,224],[225,230],[231,237],[238,241],[242,245],[246,249],[250,259],[260,265],[266,269],[270,280],[281,295],[296,299],[299,300],[301,304],[305,311],[312,315],[316,323],[324,333],[333,334],[335,338],[339,344],[345,355],[356,359],[360,362],[363,364],[365,369],[370,372],[373,377],[378,387],[387,388],[389,391],[392,401],[402,405],[406,411],[412,416],[417,420],[421,425],[426,429],[430,432],[433,435],[436,439],[440,442],[443,447],[447,448]],"norm_spans":[[0,2],[3,6],[7,21],[22,29],[30,33],[34,42],[43,49],[50,53],[54,59],[60,64],[65,67],[68,72],[72,73],[74,78],[79,83],[84,86],[87,90],[91,95],[96,100],[101,106],[107,116],[117,124],[125,129],[129,130],[131,134],[135,137],[138,143],[144,147],[148,155],[156,163],[164,167],[168,171],[172,175],[176,180],[181,185],[186,193],[193,194],[195,201],[202,205],[206,211],[212,217],[217,218],[219,223],[224,229],[230,235],[236,239],[240,243],[244,247],[248,257],[258,262],[263,266],[267,276],[277,290],[291,294],[294,295],[296,299],[300,306],[307,310],[311,318],[319,328],[328,329],[330,333],[334,339],[340,349],[350,353],[354,356],[357,358],[359,363],[364,366],[367,371],[372,381],[381,382],[383,385],[386,395],[396,399],[400,405],[406,410],[411,414],[415,419],[420,423],[424,426],[427,429],[430,433],[434,436],[437,441],[441,442]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.790199995040893} +{"basename":"brandes_naturlehre01_1830","par_idx":2088,"date":1830,"orig":"Einen noch auffallendern Irrthum begeht man leicht um die Zeit des Sonnen-Untergangs nach heißen Tagen oder um die Zeit des Sonnen-Aufgangs nach heitern, ſtillen Sommernaͤchten.","norm":"Einen noch auffallenderen Irrtum begeht man leicht um die Zeit des Sonnenuntergangs nach heißen Tagen oder um die Zeit des Sonnenaufgangs nach heiteren, stillen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2089,"date":1830,"orig":"Wenn am Tage die Erwaͤrmung des Bodens ſehr groß war, und dadurch auch die Luft bis zu 100 oder 200 Fuß Hoͤhe bedeutend durchwaͤrmt iſt, ſo findet man Abends bei Sonnen-Untergang die Luft in 100 Fuß Hoͤhe lange nicht ſo abgekuͤhlt, wie am Boden oder in 3 bis 4 Fuß Hoͤhe.","norm":"Wenn am Tage die Erwärmung des Bodens sehr groß war, und dadurch auch die Luft bis zu 100 oder 200 Fuß Höhe bedeutend durchwärmt ist, so findet man Abends bei Sonnenuntergang die Luft in 100 Fuß Höhe lange nicht so abgekühlt, wie am Boden oder in 3 bis 4 Fuß Höhe.","orig_tok":["Wenn","am","Tage","die","Erwaͤrmung","des","Bodens","ſehr","groß","war",",","und","dadurch","auch","die","Luft","bis","zu","100","oder","200","Fuß","Hoͤhe","bedeutend","durchwaͤrmt","iſt",",","ſo","findet","man","Abends","bei","Sonnen-Untergang","die","Luft","in","100","Fuß","Hoͤhe","lange","nicht","ſo","abgekuͤhlt",",","wie","am","Boden","oder","in","3","bis","4","Fuß","Hoͤhe","."],"norm_tok":["Wenn","am","Tage","die","Erwärmung","des","Bodens","sehr","groß","war",",","und","dadurch","auch","die","Luft","bis","zu","100","oder","200","Fuß","Höhe","bedeutend","durchwärmt","ist",",","so","findet","man","Abends","bei","Sonnenuntergang","die","Luft","in","100","Fuß","Höhe","lange","nicht","so","abgekühlt",",","wie","am","Boden","oder","in","3","bis","4","Fuß","Höhe","."],"orig_spans":[[0,4],[5,7],[8,12],[13,16],[17,27],[28,31],[32,38],[39,43],[44,48],[49,52],[52,53],[54,57],[58,65],[66,70],[71,74],[75,79],[80,83],[84,86],[87,90],[91,95],[96,99],[100,103],[104,109],[110,119],[120,131],[132,135],[135,136],[137,139],[140,146],[147,150],[151,157],[158,161],[162,178],[179,182],[183,187],[188,190],[191,194],[195,198],[199,204],[205,210],[211,216],[217,219],[220,230],[230,231],[232,235],[236,238],[239,244],[245,249],[250,252],[253,254],[255,258],[259,260],[261,264],[265,270],[270,271]],"norm_spans":[[0,4],[5,7],[8,12],[13,16],[17,26],[27,30],[31,37],[38,42],[43,47],[48,51],[51,52],[53,56],[57,64],[65,69],[70,73],[74,78],[79,82],[83,85],[86,89],[90,94],[95,98],[99,102],[103,107],[108,117],[118,128],[129,132],[132,133],[134,136],[137,143],[144,147],[148,154],[155,158],[159,174],[175,178],[179,183],[184,186],[187,190],[191,194],[195,199],[200,205],[206,211],[212,214],[215,224],[224,225],[226,229],[230,232],[233,238],[239,243],[244,246],[247,248],[249,252],[253,254],[255,258],[259,263],[263,264]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.991499900817871} +{"basename":"brandes_naturlehre01_1830","par_idx":2090,"date":1830,"orig":"Beobachtet man nun das Thermometer in 3 oder 4 Fuß Hoͤhe und in 4000 Fuß Hoͤhe, ſo wird man das erſtere vielleicht auf 10 Grad, die Waͤrme in der Hoͤhe dagegen, wo es immer kalt iſt, nur 4 Grad finden; aber zwiſchen beiden Standpuncten kann es eine Gegend geben, wo es 12 oder 13 Grad warm waͤre, ſo daß wir ſtatt 7 Grad Mittelwaͤrme, wenigſtens 8, vielleicht 9 Gr. haͤtten annehmen muͤſſen; in ſolchen Faͤllen iſt die waͤrmere Luftſaͤule laͤnger, als wir ſie berechnen, wir finden die Hoͤhe des Berges zu niedrig, und dieſer Unterſchied wird oft ſo erheblich, daß man die am ſpaͤten Abend, oder Morgens vor Sonnen- Aufgang gemachten Beobachtungen, als viel zu geringe Hoͤhen gebend, ganz unbrauchbar gefunden hat.","norm":"Beobachtet man nun das Thermometer in 3 oder 4 Fuß Höhe und in 4000 Fuß Höhe, so wird man das erstere vielleicht auf 10 Grad, die Wärme in der Höhe dagegen, wo es immer kalt ist, nur 4 Grad finden; aber zwischen beiden Standpunkten kann es eine Gegend geben, wo es 12 oder 13 Grad warm wäre, so dass wir statt 7 Grad Mittelwärme, wenigstens 8, vielleicht 9 Gr. hätten annehmen müssen; in solchen Fällen ist die wärmere Luftsäule länger, als wir sie berechnen, wir finden die Höhe des Berges zu niedrig, und dieser Unterschied wird oft so erheblich, dass man die am späten Abend, oder Morgens vor Sonnen-Aufgang gemachten Beobachtungen, als viel zu geringe Höhen gebend, ganz unbrauchbar gefunden 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+{"basename":"brandes_naturlehre01_1830","par_idx":2091,"date":1830,"orig":"Dieſem Fehler weicht man am beſten aus, wenn man die Beobachtungen in den mittleren Vormittagsſtunden, von 8 bis 10 Uhr, oder in den mittlern Nachmittagsſtunden, im Sommer um 4 oder 5 Uhr anſtellt, weil dann die Waͤrme in der Luft am gleichfoͤrmigſten ausgetheilt iſt.","norm":"Diesem Fehler weicht man am besten aus, wenn man die Beobachtungen in den mittleren Vormittagsstunden, von 8 bis 10 Uhr, oder in den mittleren Nachmittagsstunden, im Sommer um 4 oder 5 Uhr anstellt, weil dann die Wärme in der Luft am gleichförmigsten ausgeteilt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2092,"date":1830,"orig":"Wegen dieſer ſo ſchwer ganz zu vermeidenden Ungewißheit uͤber die genaue mittlere Waͤrme der Luftſaͤule, deren Hoͤhe wir abmeſſen, ſcheint es mir nicht moͤglich, einer Meſſung durch das Barometer eine Sicherheit, die bis auf 8 oder 10 Fuß, bei 4000 Fuß Hoͤhen-Unterſchied ginge, beizulegen.","norm":"Wegen dieser so schwer ganz zu vermeidenden Ungewissheit über die genaue mittlere Wärme der Luftsäule, deren Höhe wir abmessen, scheint es mir nicht möglich, einer Messung durch das Barometer eine Sicherheit, die bis auf 8 oder 10 Fuß, bei 4000 Fuß Höhenunterschied ginge, beizulegen.","orig_tok":["Wegen","dieſer","ſo","ſchwer","ganz","zu","vermeidenden","Ungewißheit","uͤber","die","genaue","mittlere","Waͤrme","der","Luftſaͤule",",","deren","Hoͤhe","wir","abmeſſen",",","ſcheint","es","mir","nicht","moͤglich",",","einer","Meſſung","durch","das","Barometer","eine","Sicherheit",",","die","bis","auf","8","oder","10","Fuß",",","bei","4000","Fuß","Hoͤhen-Unterſchied","ginge",",","beizulegen","."],"norm_tok":["Wegen","dieser","so","schwer","ganz","zu","vermeidenden","Ungewissheit","über","die","genaue","mittlere","Wärme","der","Luftsäule",",","deren","Höhe","wir","abmessen",",","scheint","es","mir","nicht","möglich",",","einer","Messung","durch","das","Barometer","eine","Sicherheit",",","die","bis","auf","8","oder","10","Fuß",",","bei","4000","Fuß","Höhenunterschied","ginge",",","beizulegen","."],"orig_spans":[[0,5],[6,12],[13,15],[16,22],[23,27],[28,30],[31,43],[44,55],[56,61],[62,65],[66,72],[73,81],[82,88],[89,92],[93,103],[103,104],[105,110],[111,116],[117,120],[121,129],[129,130],[131,138],[139,141],[142,145],[146,151],[152,160],[160,161],[162,167],[168,175],[176,181],[182,185],[186,195],[196,200],[201,211],[211,212],[213,216],[217,220],[221,224],[225,226],[227,231],[232,234],[235,238],[238,239],[240,243],[244,248],[249,252],[253,271],[272,277],[277,278],[279,289],[289,290]],"norm_spans":[[0,5],[6,12],[13,15],[16,22],[23,27],[28,30],[31,43],[44,56],[57,61],[62,65],[66,72],[73,81],[82,87],[88,91],[92,101],[101,102],[103,108],[109,113],[114,117],[118,126],[126,127],[128,135],[136,138],[139,142],[143,148],[149,156],[156,157],[158,163],[164,171],[172,177],[178,181],[182,191],[192,196],[197,207],[207,208],[209,212],[213,216],[217,220],[221,222],[223,227],[228,230],[231,234],[234,235],[236,239],[240,244],[245,248],[249,265],[266,271],[271,272],[273,283],[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],[47,47],[48,48],[49,49],[50,50]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.322400093078613} +{"basename":"brandes_naturlehre01_1830","par_idx":2093,"date":1830,"orig":"So lange dieſe Ungewißheit nicht gehoben iſt, und ſo lange wir, wie es bisher meiſtens geſchehen iſt, auf die Feuchtigkeit der Luft nur ſehr oberflaͤchlich Ruͤckſicht nehmen, halte ich es daher auch fuͤr unmoͤglich zu entſcheiden, ob die von Dalton angenommene Beſchaffenheit der Atmoſphaͤre, die Benzenberg vorzuͤglich vertheidiget hat, wirklich ſtatt findet.","norm":"Solange diese Ungewissheit nicht gehoben ist, und so lange wir, wie es bisher meistens geschehen ist, auf die Feuchtigkeit der Luft nur sehr oberflächlich Rücksicht nehmen, halte ich es daher auch für unmöglich zu entscheiden, ob die von Dalton angenommene Beschaffenheit der Atmosphäre, die Benzenberg vorzüglich verteidiget hat, wirklich 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Waſſerdaͤmpfen.","norm":"Unsere Atmosphäre besteht aus zwei Luftarten, der Sauerstoffluft und der Stickstoffluft, und aus Wasserdämpfen.","orig_tok":["Unſre","Atmoſphaͤre","beſteht","aus","zwei","Luft-Arten",",","der","Sauerſtoffluft","und","der","Stickſtoffluft",",","und","aus","Waſſerdaͤmpfen","."],"norm_tok":["Unsere","Atmosphäre","besteht","aus","zwei","Luftarten",",","der","Sauerstoffluft","und","der","Stickstoffluft",",","und","aus","Wasserdämpfen","."],"orig_spans":[[0,5],[6,17],[18,25],[26,29],[30,34],[35,45],[45,46],[47,50],[51,65],[66,69],[70,73],[74,88],[88,89],[90,93],[94,97],[98,112],[112,113]],"norm_spans":[[0,6],[7,17],[18,25],[26,29],[30,34],[35,44],[44,45],[46,49],[50,64],[65,68],[69,72],[73,87],[87,88],[89,92],[93,96],[97,110],[110,111]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.906500101089477} +{"basename":"brandes_naturlehre01_1830","par_idx":2096,"date":1830,"orig":"Die Menge der erſten Luft-Art iſt nur ſo groß, daß wenn die beiden andern Fluͤſſigkeiten ploͤtzlich weggenommen wuͤrden, unſer Barometer ſich nur auf 6½ Zoll erhalten wuͤrde; waͤre die Stickſtoffluft allein da, ſo erhielte ſie das Barometer auf 21 Zoll; die Daͤmpfe in der Luft wuͤrden fuͤr ſich allein eine Barometerhoͤhe von nur ½ Zoll geben; und alle zuſammen geben die 28 Zoll, welche wir beobachten.","norm":"Die Menge der ersten Luftart ist nur so groß, dass wenn die beiden anderen Flüssigkeiten plötzlich weggenommen würden, unser Barometer sich nur auf 61 / 2 Zoll erhalten würde; wäre die Stickstoffluft allein da, so erhielte sie das Barometer auf 21 Zoll; die Dämpfe in der Luft würden für sich allein eine Barometerhöhe von nur ½ Zoll geben; und alle zusammen geben die 28 Zoll, welche wir beobachten.","orig_tok":["Die","Menge","der","erſten","Luft-Art","iſt","nur","ſo","groß",",","daß","wenn","die","beiden","andern","Fluͤſſigkeiten","ploͤtzlich","weggenommen","wuͤrden",",","unſer","Barometer","ſich","nur","auf","6½","Zoll","erhalten","wuͤrde",";","waͤre","die","Stickſtoffluft","allein","da",",","ſo","erhielte","ſie","das","Barometer","auf","21","Zoll",";","die","Daͤmpfe","in","der","Luft","wuͤrden","fuͤr","ſich","allein","eine","Barometerhoͤhe","von","nur","½","Zoll","geben",";","und","alle","zuſammen","geben","die","28","Zoll",",","welche","wir","beobachten","."],"norm_tok":["Die","Menge","der","ersten","Luftart","ist","nur","so","groß",",","dass","wenn","die","beiden","anderen","Flüssigkeiten","plötzlich","weggenommen","würden",",","unser","Barometer","sich","nur","auf","61","/","2","Zoll","erhalten","würde",";","wäre","die","Stickstoffluft","allein","da",",","so","erhielte","sie","das","Barometer","auf","21","Zoll",";","die","Dämpfe","in","der","Luft","würden","für","sich","allein","eine","Barometerhöhe","von","nur","½","Zoll","geben",";","und","alle","zusammen","geben","die","28","Zoll",",","welche","wir","beobachten","."],"orig_spans":[[0,3],[4,9],[10,13],[14,20],[21,29],[30,33],[34,37],[38,40],[41,45],[45,46],[47,50],[51,55],[56,59],[60,66],[67,73],[74,88],[89,99],[100,111],[112,119],[119,120],[121,126],[127,136],[137,141],[142,145],[146,149],[150,152],[153,157],[158,166],[167,173],[173,174],[175,180],[181,184],[185,199],[200,206],[207,209],[209,210],[211,213],[214,222],[223,226],[227,230],[231,240],[241,244],[245,247],[248,252],[252,253],[254,257],[258,265],[266,268],[269,272],[273,277],[278,285],[286,290],[291,295],[296,302],[303,307],[308,322],[323,326],[327,330],[331,332],[333,337],[338,343],[343,344],[345,348],[349,353],[354,362],[363,368],[369,372],[373,375],[376,380],[380,381],[382,388],[389,392],[393,403],[403,404]],"norm_spans":[[0,3],[4,9],[10,13],[14,20],[21,28],[29,32],[33,36],[37,39],[40,44],[44,45],[46,50],[51,55],[56,59],[60,66],[67,74],[75,88],[89,98],[99,110],[111,117],[117,118],[119,124],[125,134],[135,139],[140,143],[144,147],[148,150],[151,152],[153,154],[155,159],[160,168],[169,174],[174,175],[176,180],[181,184],[185,199],[200,206],[207,209],[209,210],[211,213],[214,222],[223,226],[227,230],[231,240],[241,244],[245,247],[248,252],[252,253],[254,257],[258,264],[265,267],[268,271],[272,276],[277,283],[284,287],[288,292],[293,299],[300,304],[305,318],[319,322],[323,326],[327,328],[329,333],[334,339],[339,340],[341,344],[345,349],[350,358],[359,364],[365,368],[369,371],[372,376],[376,377],[378,384],[385,388],[389,399],[399,400]],"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],[null,26],[null,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],[63,65],[64,66],[65,67],[66,68],[67,69],[68,70],[69,71],[70,72],[71,73],[72,74],[73,75]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.236000061035156} +{"basename":"brandes_naturlehre01_1830","par_idx":2097,"date":1830,"orig":"Da die Sauerſtoffluft ſchwerer als die Stickſtoffluft iſt, ſo brauchten wir in jener nur etwas uͤber 15000 Fuß hoch zu ſteigen, um das Barometer bis zur halben Hoͤhe = 3¼ Zoll herabſinken zu ſehen; in der Stickſtoff-Atmoſphaͤre muͤßten wir dagegen ungefehr bis 17500 Fuß ſteigen, damit in ihr das Barometer ſeine halbe Hoͤhe erreichte.","norm":"Da die Sauerstoffluft schwerer als die Stickstoffluft ist, so brauchten wir in jener nur etwas über 15000 Fuß hochzusteigen, um das Barometer bis zur halben Höhe = 31/4 Zoll herabsinken zu sehen; in der Stickstoff-Atmosphäre müssten wir dagegen ungefähr bis 17500 Fuß steigen, damit in ihr das Barometer seine halbe Höhe erreichte.","orig_tok":["Da","die","Sauerſtoffluft","ſchwerer","als","die","Stickſtoffluft","iſt",",","ſo","brauchten","wir","in","jener","nur","etwas","uͤber","15000","Fuß","hoch","zu","ſteigen",",","um","das","Barometer","bis","zur","halben","Hoͤhe","=","3¼","Zoll","herabſinken","zu","ſehen",";","in","der","Stickſtoff-Atmoſphaͤre","muͤßten","wir","dagegen","ungefehr","bis","17500","Fuß","ſteigen",",","damit","in","ihr","das","Barometer","ſeine","halbe","Hoͤhe","erreichte","."],"norm_tok":["Da","die","Sauerstoffluft","schwerer","als","die","Stickstoffluft","ist",",","so","brauchten","wir","in","jener","nur","etwas","über","15000","Fuß","hochzusteigen",",","um","das","Barometer","bis","zur","halben","Höhe","=","31","/","4","Zoll","herabsinken","zu","sehen",";","in","der","Stickstoff-Atmosphäre","müssten","wir","dagegen","ungefähr","bis","17500","Fuß","steigen",",","damit","in","ihr","das","Barometer","seine","halbe","Höhe","erreichte","."],"orig_spans":[[0,2],[3,6],[7,21],[22,30],[31,34],[35,38],[39,53],[54,57],[57,58],[59,61],[62,71],[72,75],[76,78],[79,84],[85,88],[89,94],[95,100],[101,106],[107,110],[111,115],[116,118],[119,126],[126,127],[128,130],[131,134],[135,144],[145,148],[149,152],[153,159],[160,165],[166,167],[168,170],[171,175],[176,187],[188,190],[191,196],[196,197],[198,200],[201,204],[205,227],[228,235],[236,239],[240,247],[248,256],[257,260],[261,266],[267,270],[271,278],[278,279],[280,285],[286,288],[289,292],[293,296],[297,306],[307,312],[313,318],[319,324],[325,334],[334,335]],"norm_spans":[[0,2],[3,6],[7,21],[22,30],[31,34],[35,38],[39,53],[54,57],[57,58],[59,61],[62,71],[72,75],[76,78],[79,84],[85,88],[89,94],[95,99],[100,105],[106,109],[110,123],[123,124],[125,127],[128,131],[132,141],[142,145],[146,149],[150,156],[157,161],[162,163],[164,166],[166,167],[167,168],[169,173],[174,185],[186,188],[189,194],[194,195],[196,198],[199,202],[203,224],[225,232],[233,236],[237,244],[245,253],[254,257],[258,263],[264,267],[268,275],[275,276],[277,282],[283,285],[286,289],[290,293],[294,303],[304,309],[310,315],[316,320],[321,330],[330,331]],"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],[21,19],[22,20],[23,21],[24,22],[25,23],[26,24],[27,25],[28,26],[29,27],[30,28],[31,29],[null,30],[null,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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.253099918365478} +{"basename":"brandes_naturlehre01_1830","par_idx":2098,"date":1830,"orig":"Nehmen wir alſo bloß auf dieſe beiden Ruͤckſicht, ſo wuͤrde, wenn wir Luft aus der einen und aus der andern Atmoſphaͤre in 17000 Fuß Hoͤhe ſchoͤpften, die Stickſtoffluft halb ſo dicht als unten, die Sauerſtoffluft ſchon erheblich verduͤnnter ſein.","norm":"Nehmen wir also bloß auf diese beiden Rücksicht, so würde, wenn wir Luft aus der einen und aus der anderen Atmosphäre in 17000 Fuß Höhe schöpften, die Stickstoffluft halb so dicht als unten, die Sauerstoffluft schon erheblich verdünnter sein.","orig_tok":["Nehmen","wir","alſo","bloß","auf","dieſe","beiden","Ruͤckſicht",",","ſo","wuͤrde",",","wenn","wir","Luft","aus","der","einen","und","aus","der","andern","Atmoſphaͤre","in","17000","Fuß","Hoͤhe","ſchoͤpften",",","die","Stickſtoffluft","halb","ſo","dicht","als","unten",",","die","Sauerſtoffluft","ſchon","erheblich","verduͤnnter","ſein","."],"norm_tok":["Nehmen","wir","also","bloß","auf","diese","beiden","Rücksicht",",","so","würde",",","wenn","wir","Luft","aus","der","einen","und","aus","der","anderen","Atmosphäre","in","17000","Fuß","Höhe","schöpften",",","die","Stickstoffluft","halb","so","dicht","als","unten",",","die","Sauerstoffluft","schon","erheblich","verdünnter","sein","."],"orig_spans":[[0,6],[7,10],[11,15],[16,20],[21,24],[25,30],[31,37],[38,48],[48,49],[50,52],[53,59],[59,60],[61,65],[66,69],[70,74],[75,78],[79,82],[83,88],[89,92],[93,96],[97,100],[101,107],[108,119],[120,122],[123,128],[129,132],[133,138],[139,149],[149,150],[151,154],[155,169],[170,174],[175,177],[178,183],[184,187],[188,193],[193,194],[195,198],[199,213],[214,219],[220,229],[230,241],[242,246],[246,247]],"norm_spans":[[0,6],[7,10],[11,15],[16,20],[21,24],[25,30],[31,37],[38,47],[47,48],[49,51],[52,57],[57,58],[59,63],[64,67],[68,72],[73,76],[77,80],[81,86],[87,90],[91,94],[95,98],[99,106],[107,117],[118,120],[121,126],[127,130],[131,135],[136,145],[145,146],[147,150],[151,165],[166,170],[171,173],[174,179],[180,183],[184,189],[189,190],[191,194],[195,209],[210,215],[216,225],[226,236],[237,241],[241,242]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.437300205230713} 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Barometer seinen tiefsten Stand erreicht, dann bis Abends um 10 Uhr steigt, bis Morgens um 31/2 Uhr fällt, zwischen 9 und 10 Uhr Vormittags seinen höchsten Stand erreicht, und endlich wieder um 41/2 Uhr zu seinem tiefsten Stande zurückgekehrt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2108,"date":1830,"orig":"Dieſe Wechſel ſind zwar weder an allen Orten der heißen Zone gleich groß, noch kehren ſie an allen Orten ganz genau zu derſelben Stunde wieder; aber ihre Regelmaͤßigkeit iſt in den Gegenden America's, wo von Humboldt beobachtete, und auf dem Meere, wo beſonders Horner und Simonoff beobachtet haben, ſo beſtimmt, daß man ſie jeden Tag wahrnehmen kann.","norm":"Diese Wechsel sind zwar weder an allen Orten der heißen Zone gleich groß, noch kehren sie an allen Orten ganz genau zu derselben Stunde wieder; aber ihre Regelmäßigkeit ist in den Gegenden Americas, wo von Humboldt beobachtete, und auf dem Meere, wo besonders Horner und Simonoff beobachtet haben, so bestimmt, dass man sie jeden Tag wahrnehmen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2109,"date":1830,"orig":"In der großen Hoͤhe, wo Quito und Mexico liegen, ſind dieſe Unterſchiede ebenſo merklich, wie am Meere, dagegen ſollen nach Horsburgh's Beobachtungen in Oſt-Indien bedeutende Verſchiedenheiten, theils nach der Lage der Orte gegen die Gebirge, theils nach der Witterung, ſtatt finden, ſo daß, wenigſtens an einigen Orten des feſten Landes von Indien, dieſe regelmaͤßigen Wechſel waͤhrend der Regenzeit aufhoͤren, obgleich ſie auf dem Meere fortdauern.","norm":"In der großen Höhe, wo Quito und Mexiko liegen, sind diese Unterschiede ebenso merklich, wie am Meere, dagegen sollen nach Horsburghs Beobachtungen in Ost-Indien bedeutende Verschiedenheiten, teils nach der Lage der Orte gegen die Gebirge, teils nach der Witterung, stattfinden, so dass, wenigstens an einigen Orten des festen Landes von Indien, diese regelmäßigen Wechsel während der Regenzeit aufhören, obgleich sie auf dem Meere 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+{"basename":"brandes_naturlehre01_1830","par_idx":2110,"date":1830,"orig":"In der gemaͤßigten Zone laſſen zwar die von der Witterung abhaͤngigen unregelmaͤßigen Aenderungen des Barometerſtandes nicht zu, daß man dieſe taͤglichen Oſcillationen ſo leicht und beſtimmt wahrnehme; aber wenn man eine laͤngere Reihe von Tagen ſtuͤndlich das Barometer beobachtet, ſo ergeben die aus den Beobachtungen jeder einzelnen Tagesſtunde gezogenen Mittelzahlen, daß auch hier eben dieſe Schwankungen merklich ſind.","norm":"In der gemäßigten Zone lassen zwar die von der Witterung abhängigen unregelmäßigen Änderungen des Barometerstandes nicht zu, dass man diese täglichen Oszillationen so leicht und bestimmt wahrnehme; aber wenn man eine längere Reihe von Tagen stündlich das Barometer beobachtet, so ergeben die aus den Beobachtungen jeder einzelnen Tagesstunde gezogenen Mittelzahlen, dass auch hier eben diese Schwankungen merklich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2125,"date":1830,"orig":"So ungeregelt aber auch dieſe faſt ſtuͤndlich wechſelnden Aenderungen im Stande des Barometers ſcheinen, ſo laͤßt ſich doch zuerſt eine Uebereinſtimmung mit den Winden wahrnehmen.","norm":"So ungeregelt aber auch diese fast stündlich wechselnden Änderungen im Stande des Barometers scheinen, so lässt sich doch zuerst eine Übereinstimmung mit den Winden 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+{"basename":"brandes_naturlehre01_1830","par_idx":2126,"date":1830,"orig":"Nicht allein treffen die vorzuͤglich hohen Barometerſtaͤnde mit Oſtwinden und Nordwinden zuſammen, ſondern allgemein ſteht das Barometer hoͤher bei oͤſtlichen und nordoͤſtlichen Winden, als bei den aus andern Richtungen kommenden Winden.","norm":"Nicht allein treffen die vorzüglich hohen Barometerstände mit Ostwinden und Nordwinden zusammen, sondern allgemein steht das Barometer höher bei östlichen und nordöstlichen Winden, als bei den aus anderen Richtungen kommenden 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+{"basename":"brandes_naturlehre01_1830","par_idx":2127,"date":1830,"orig":"Dabei zeigen ſich indeß manche merkwuͤrdige Eigenheiten an verſchiedenen Orten, die von Buch aufmerkſamer betrachtet hat.","norm":"Dabei zeigen sich indes manche merkwürdige Eigenheiten an verschiedenen Orten, die von Buch aufmerksamer betrachtet hat.","orig_tok":["Dabei","zeigen","ſich","indeß","manche","merkwuͤrdige","Eigenheiten","an","verſchiedenen","Orten",",","die","von","Buch","aufmerkſamer","betrachtet","hat","."],"norm_tok":["Dabei","zeigen","sich","indes","manche","merkwürdige","Eigenheiten","an","verschiedenen","Orten",",","die","von","Buch","aufmerksamer","betrachtet","hat","."],"orig_spans":[[0,5],[6,12],[13,17],[18,23],[24,30],[31,43],[44,55],[56,58],[59,72],[73,78],[78,79],[80,83],[84,87],[88,92],[93,105],[106,116],[117,120],[120,121]],"norm_spans":[[0,5],[6,12],[13,17],[18,23],[24,30],[31,42],[43,54],[55,57],[58,71],[72,77],[77,78],[79,82],[83,86],[87,91],[92,104],[105,115],[116,119],[119,120]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.780399799346924} +{"basename":"brandes_naturlehre01_1830","par_idx":2128,"date":1830,"orig":"In Berlin ſteht das Barometer, wenn man alle bei Nordoſtwind angeſtellten Beobachtungen zuſammen nimmt, im Mittel auf 336,‴6, bei Suͤdwinde auf 333,‴1, und die Mittelhoͤhe aus allen Beobachtungen, die 335,‴1 iſt, findet faſt genau bei Weſt und faſt genau bei Oſtſuͤdoſtwinde ſtatt.","norm":"In Berlin steht das Barometer, wenn man alle bei Nordostwind angestellten Beobachtungen zusammen nimmt, im Mittel auf 336, '''6, bei Südwinde auf 333, '''1, und die Mittelhöhe aus allen Beobachtungen, die 335, '''1 ist, findet fast genau bei West und fast genau bei Ostsüdostwinde statt.","orig_tok":["In","Berlin","ſteht","das","Barometer",",","wenn","man","alle","bei","Nordoſtwind","angeſtellten","Beobachtungen","zuſammen","nimmt",",","im","Mittel","auf","336",",","‴6",",","bei","Suͤdwinde","auf","333",",","‴1",",","und","die","Mittelhoͤhe","aus","allen","Beobachtungen",",","die","335",",","‴1","iſt",",","findet","faſt","genau","bei","Weſt","und","faſt","genau","bei","Oſtſuͤdoſtwinde","ſtatt","."],"norm_tok":["In","Berlin","steht","das","Barometer",",","wenn","man","alle","bei","Nordostwind","angestellten","Beobachtungen","zusammen","nimmt",",","im","Mittel","auf","336",",","''","'","6",",","bei","Südwinde","auf","333",",","''","'","1",",","und","die","Mittelhöhe","aus","allen","Beobachtungen",",","die","335",",","''","'","1","ist",",","findet","fast","genau","bei","West","und","fast","genau","bei","Ostsüdostwinde","statt","."],"orig_spans":[[0,2],[3,9],[10,15],[16,19],[20,29],[29,30],[31,35],[36,39],[40,44],[45,48],[49,60],[61,73],[74,87],[88,96],[97,102],[102,103],[104,106],[107,113],[114,117],[118,121],[121,122],[122,124],[124,125],[126,129],[130,139],[140,143],[144,147],[147,148],[148,150],[150,151],[152,155],[156,159],[160,171],[172,175],[176,181],[182,195],[195,196],[197,200],[201,204],[204,205],[205,207],[208,211],[211,212],[213,219],[220,224],[225,230],[231,234],[235,239],[240,243],[244,248],[249,254],[255,258],[259,274],[275,280],[280,281]],"norm_spans":[[0,2],[3,9],[10,15],[16,19],[20,29],[29,30],[31,35],[36,39],[40,44],[45,48],[49,60],[61,73],[74,87],[88,96],[97,102],[102,103],[104,106],[107,113],[114,117],[118,121],[121,122],[123,125],[125,126],[126,127],[127,128],[129,132],[133,141],[142,145],[146,149],[149,150],[151,153],[153,154],[154,155],[155,156],[157,160],[161,164],[165,175],[176,179],[180,185],[186,199],[199,200],[201,204],[205,208],[208,209],[210,212],[212,213],[213,214],[215,218],[218,219],[220,226],[227,231],[232,237],[238,241],[242,246],[247,250],[251,255],[256,261],[262,265],[266,280],[281,286],[286,287]],"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],[null,23],[21,null],[22,24],[23,25],[24,26],[25,27],[26,28],[27,29],[null,30],[null,31],[null,32],[28,null],[29,33],[30,34],[31,35],[32,36],[33,37],[34,38],[35,39],[36,40],[37,41],[38,42],[39,43],[40,null],[null,44],[null,45],[null,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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.173099994659424} +{"basename":"brandes_naturlehre01_1830","par_idx":2129,"date":1830,"orig":"In Mittelburg in Seeland ſteht das Barometer bei Nordwinde 338‴, bei Suͤdwinde 334‴ hoch, und die Mittelhoͤhe trifft mit dem Winde zuſammen, den man Nordweſt gen Weſt und den von Suͤdoſt gen Oſt nennen wuͤrde . Dieſe Richtungen ſtehen hier einander beinahe genau gegenuͤber.","norm":"In Mittelburg in Seeland steht das Barometer bei Nordwinde 338 ‴, bei Südwinde 334 ‴ hoch, und die Mittelhöhe trifft mit dem Winde zusammen, den man Nordwesten gen West und den von Südost gen Ost nennen würde . Diese Richtungen stehen hier einander beinahe genau gegenüber.","orig_tok":["In","Mittelburg","in","Seeland","ſteht","das","Barometer","bei","Nordwinde","338","‴",",","bei","Suͤdwinde","334","‴","hoch",",","und","die","Mittelhoͤhe","trifft","mit","dem","Winde","zuſammen",",","den","man","Nordweſt","gen","Weſt","und","den","von","Suͤdoſt","gen","Oſt","nennen","wuͤrde",".","Dieſe","Richtungen","ſtehen","hier","einander","beinahe","genau","gegenuͤber","."],"norm_tok":["In","Mittelburg","in","Seeland","steht","das","Barometer","bei","Nordwinde","338","‴",",","bei","Südwinde","334","‴","hoch",",","und","die","Mittelhöhe","trifft","mit","dem","Winde","zusammen",",","den","man","Nordwesten","gen","West","und","den","von","Südost","gen","Ost","nennen","würde",".","Diese","Richtungen","stehen","hier","einander","beinahe","genau","gegenüber","."],"orig_spans":[[0,2],[3,13],[14,16],[17,24],[25,30],[31,34],[35,44],[45,48],[49,58],[59,62],[62,63],[63,64],[65,68],[69,78],[79,82],[82,83],[84,88],[88,89],[90,93],[94,97],[98,109],[110,116],[117,120],[121,124],[125,130],[131,139],[139,140],[141,144],[145,148],[149,157],[158,161],[162,166],[167,170],[171,174],[175,178],[179,186],[187,190],[191,194],[195,201],[202,208],[209,210],[211,216],[217,227],[228,234],[235,239],[240,248],[249,256],[257,262],[263,273],[273,274]],"norm_spans":[[0,2],[3,13],[14,16],[17,24],[25,30],[31,34],[35,44],[45,48],[49,58],[59,62],[63,64],[64,65],[66,69],[70,78],[79,82],[83,84],[85,89],[89,90],[91,94],[95,98],[99,109],[110,116],[117,120],[121,124],[125,130],[131,139],[139,140],[141,144],[145,148],[149,159],[160,163],[164,168],[169,172],[173,176],[177,180],[181,187],[188,191],[192,195],[196,202],[203,208],[209,210],[211,216],[217,227],[228,234],[235,239],[240,248],[249,256],[257,262],[263,272],[272,273]],"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":5.089399814605713} +{"basename":"brandes_naturlehre01_1830","par_idx":2130,"date":1830,"orig":"In Ofen in Ungarn dagegen ergeben ſich drei Richtungen der Winde, bei denen das Barometer ſeine Mittelhoͤhe erreicht.","norm":"In Ofen in Ungarn dagegen ergeben sich drei Richtungen der Winde, bei denen das Barometer seine Mittelhöhe erreicht.","orig_tok":["In","Ofen","in","Ungarn","dagegen","ergeben","ſich","drei","Richtungen","der","Winde",",","bei","denen","das","Barometer","ſeine","Mittelhoͤhe","erreicht","."],"norm_tok":["In","Ofen","in","Ungarn","dagegen","ergeben","sich","drei","Richtungen","der","Winde",",","bei","denen","das","Barometer","seine","Mittelhöhe","erreicht","."],"orig_spans":[[0,2],[3,7],[8,10],[11,17],[18,25],[26,33],[34,38],[39,43],[44,54],[55,58],[59,64],[64,65],[66,69],[70,75],[76,79],[80,89],[90,95],[96,107],[108,116],[116,117]],"norm_spans":[[0,2],[3,7],[8,10],[11,17],[18,25],[26,33],[34,38],[39,43],[44,54],[55,58],[59,64],[64,65],[66,69],[70,75],[76,79],[80,89],[90,95],[96,106],[107,115],[115,116]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.117899894714355} +{"basename":"brandes_naturlehre01_1830","par_idx":2131,"date":1830,"orig":"Hier ſteht bei Suͤdoſtwinde das Barometer am hoͤchſten, bei Suͤdweſtwinde am tiefſten, und zwiſchen dieſen beiden Windſtrichen hat der Suͤd gen Oſt den mittleren Barometerſtand; geht man von Suͤdweſt bis Weſtnordweſt, ſo findet man die dieſem letztern Winde entſprechende Barometerhoͤhe der mittlern gleich; bei Nordweſt- und Nordwinde ſteht es hoͤher, bei oͤſtlichern Winden wieder niedriger, bei Oſtwinde hat es die Mittelhoͤhe und bei etwas ſuͤdlichern Winden iſt es viel hoͤher, ſo daß es bei Suͤdoſtwind am hoͤchſten ſteht.","norm":"Hier steht bei Südostwinde das Barometer am höchsten, bei Südwestwinde am tiefsten, und zwischen diesen beiden Windstrichen hat der Süden gen Ost den mittleren Barometerstand; geht man von Südwest bis Westnordwest, so findet man die diesem letzteren Winde entsprechende Barometerhöhe der mittleren gleich; bei Nordwest- und Nordwinde steht es höher, bei östlicheren Winden wieder niedriger, bei Ostwinde hat es die Mittelhöhe und bei etwas südlicheren Winden ist es viel höher, so dass es bei Südostwind am höchsten 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+{"basename":"brandes_naturlehre01_1830","par_idx":2132,"date":1830,"orig":"Dieſe Beſonderheiten beruhen ohne Zweifel auf einzelnen Umſtaͤnden in der oͤrtlichen Lage, und werden mehr Wichtigkeit, als wir ihnen jetzt noch beilegen koͤnnen, bei der Vergleichung der an mehreren Orten angeſtellten Beobachtungen erlangen.","norm":"Diese Besonderheiten beruhen ohne Zweifel auf einzelnen Umständen in der örtlichen Lage, und werden mehr Wichtigkeit, als wir ihnen jetzt noch beilegen können, bei der Vergleichung der an mehreren Orten angestellten Beobachtungen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2133,"date":1830,"orig":"Dove hat an die Unterſuchung der in Paris angeſtellten Beobachtungen noch mehr genauere Beſtimmungen geknuͤpft.","norm":"Dove hat an die Untersuchung der in Paris angestellten Beobachtungen noch mehr genauere Bestimmungen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2136,"date":1830,"orig":"Eine andre ſich hieran ebenfalls knuͤpfende Regel iſt die, daß das Barometer bei Weſtwinden ſteigt, bei Oſtwinden faͤllt; bei Weſtwinden naͤmlich iſt die nach und nach eintretende mehr nordliche Richtung des Windes mit einem Steigen des Barometers verbunden; iſt dagegen bei heiterm Wetter der Wind Oſt, ſo faͤngt er bald an, ſich nach Suͤden zu wenden, und damit gehoͤrt ein Abnehmen der Barometerhoͤhe zuſammen.","norm":"Eine andere sich hieran ebenfalls knüpfende Regel ist die, dass das Barometer bei Westwinden steigt, bei Ostwinden fällt; bei Westwinden nämlich ist die nach und nach eintretende mehr nordliche Richtung des Windes mit einem Steigen des Barometers verbunden; ist dagegen bei heiterem Wetter der Wind Ost, so fängt er bald an, sich nach Süden zu wenden, und damit gehört ein Abnehmen der Barometerhöhe zusammen.","orig_tok":["Eine","andre","ſich","hieran","ebenfalls","knuͤpfende","Regel","iſt","die",",","daß","das","Barometer","bei","Weſtwinden","ſteigt",",","bei","Oſtwinden","faͤllt",";","bei","Weſtwinden","naͤmlich","iſt","die","nach","und","nach","eintretende","mehr","nordliche","Richtung","des","Windes","mit","einem","Steigen","des","Barometers","verbunden",";","iſt","dagegen","bei","heiterm","Wetter","der","Wind","Oſt",",","ſo","faͤngt","er","bald","an",",","ſich","nach","Suͤden","zu","wenden",",","und","damit","gehoͤrt","ein","Abnehmen","der","Barometerhoͤhe","zuſammen","."],"norm_tok":["Eine","andere","sich","hieran","ebenfalls","knüpfende","Regel","ist","die",",","dass","das","Barometer","bei","Westwinden","steigt",",","bei","Ostwinden","fällt",";","bei","Westwinden","nämlich","ist","die","nach","und","nach","eintretende","mehr","nordliche","Richtung","des","Windes","mit","einem","Steigen","des","Barometers","verbunden",";","ist","dagegen","bei","heiterem","Wetter","der","Wind","Ost",",","so","fängt","er","bald","an",",","sich","nach","Süden","zu","wenden",",","und","damit","gehört","ein","Abnehmen","der","Barometerhöhe","zusammen","."],"orig_spans":[[0,4],[5,10],[11,15],[16,22],[23,32],[33,43],[44,49],[50,53],[54,57],[57,58],[59,62],[63,66],[67,76],[77,80],[81,91],[92,98],[98,99],[100,103],[104,113],[114,120],[120,121],[122,125],[126,136],[137,145],[146,149],[150,153],[154,158],[159,162],[163,167],[168,179],[180,184],[185,194],[195,203],[204,207],[208,214],[215,218],[219,224],[225,232],[233,236],[237,247],[248,257],[257,258],[259,262],[263,270],[271,274],[275,282],[283,289],[290,293],[294,298],[299,302],[302,303],[304,306],[307,313],[314,316],[317,321],[322,324],[324,325],[326,330],[331,335],[336,342],[343,345],[346,352],[352,353],[354,357],[358,363],[364,371],[372,375],[376,384],[385,388],[389,403],[404,412],[412,413]],"norm_spans":[[0,4],[5,11],[12,16],[17,23],[24,33],[34,43],[44,49],[50,53],[54,57],[57,58],[59,63],[64,67],[68,77],[78,81],[82,92],[93,99],[99,100],[101,104],[105,114],[115,120],[120,121],[122,125],[126,136],[137,144],[145,148],[149,152],[153,157],[158,161],[162,166],[167,178],[179,183],[184,193],[194,202],[203,206],[207,213],[214,217],[218,223],[224,231],[232,235],[236,246],[247,256],[256,257],[258,261],[262,269],[270,273],[274,282],[283,289],[290,293],[294,298],[299,302],[302,303],[304,306],[307,312],[313,315],[316,320],[321,323],[323,324],[325,329],[330,334],[335,340],[341,343],[344,350],[350,351],[352,355],[356,361],[362,368],[369,372],[373,381],[382,385],[386,399],[400,408],[408,409]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.555200099945068} +{"basename":"brandes_naturlehre01_1830","par_idx":2137,"date":1830,"orig":"Dieſe Regel ſtimmt ſehr mit der alten bekannten Regel zuſammen, daß das Steigen des Barometers eine Voranzeige guten Wetters iſt; denn bei Weſtwinde pflegt das Wetter noch nicht heiter zu ſein, und das vom Barometer angezeigte Eintreten noͤrdlichen Windes laͤßt, wenn dieſer dauernd wird, heitre Luft erwarten; der Grund dieſer Heiterkeit des Himmels bei den aus kalten Gegenden kommenden Winden, gehoͤrt nicht hierher, ſondern beſſer in die Lehre von der Waͤrme.","norm":"Diese Regel stimmt sehr mit der alten bekannten Regel zusammen, dass das Steigen des Barometers eine Voranzeige guten Wetters ist; denn bei Westwinde pflegt das Wetter noch nicht heiter zu sein, und das vom Barometer angezeigte Eintreten nördlichen Windes lässt, wenn dieser dauernd wird, heitere Luft erwarten; der Grund dieser Heiterkeit des Himmels bei den aus kalten Gegenden kommenden Winden, gehört nicht hierher, sondern besser in die Lehre von 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Wärme.","orig_tok":["Dieſe","Regel","ſtimmt","ſehr","mit","der","alten","bekannten","Regel","zuſammen",",","daß","das","Steigen","des","Barometers","eine","Voranzeige","guten","Wetters","iſt",";","denn","bei","Weſtwinde","pflegt","das","Wetter","noch","nicht","heiter","zu","ſein",",","und","das","vom","Barometer","angezeigte","Eintreten","noͤrdlichen","Windes","laͤßt",",","wenn","dieſer","dauernd","wird",",","heitre","Luft","erwarten",";","der","Grund","dieſer","Heiterkeit","des","Himmels","bei","den","aus","kalten","Gegenden","kommenden","Winden",",","gehoͤrt","nicht","hierher",",","ſondern","beſſer","in","die","Lehre","von","der","Waͤrme","."],"norm_tok":["Diese","Regel","stimmt","sehr","mit","der","alten","bekannten","Regel","zusammen",",","dass","das","Steigen","des","Barometers","eine","Voranzeige","guten","Wetters","ist",";","denn","bei","Westwinde","pflegt","das","Wetter","noch","nicht","heiter","zu","sein",",","und","das","vom","Barometer","angezeigte","Eintreten","nördlichen","Windes","lässt",",","wenn","dieser","dauernd","wird",",","heitere","Luft","erwarten",";","der","Grund","dieser","Heiterkeit","des","Himmels","bei","den","aus","kalten","Gegenden","kommenden","Winden",",","gehört","nicht","hierher",",","sondern","besser","in","die","Lehre","von","der","Wärme","."],"orig_spans":[[0,5],[6,11],[12,18],[19,23],[24,27],[28,31],[32,37],[38,47],[48,53],[54,62],[62,63],[64,67],[68,71],[72,79],[80,83],[84,94],[95,99],[100,110],[111,116],[117,124],[125,128],[128,129],[130,134],[135,138],[139,148],[149,155],[156,159],[160,166],[167,171],[172,177],[178,184],[185,187],[188,192],[192,193],[194,197],[198,201],[202,205],[206,215],[216,226],[227,236],[237,248],[249,255],[256,261],[261,262],[263,267],[268,274],[275,282],[283,287],[287,288],[289,295],[296,300],[301,309],[309,310],[311,314],[315,320],[321,327],[328,338],[339,342],[343,350],[351,354],[355,358],[359,362],[363,369],[370,378],[379,388],[389,395],[395,396],[397,404],[405,410],[411,418],[418,419],[420,427],[428,434],[435,437],[438,441],[442,447],[448,451],[452,455],[456,462],[462,463]],"norm_spans":[[0,5],[6,11],[12,18],[19,23],[24,27],[28,31],[32,37],[38,47],[48,53],[54,62],[62,63],[64,68],[69,72],[73,80],[81,84],[85,95],[96,100],[101,111],[112,117],[118,125],[126,129],[129,130],[131,135],[136,139],[140,149],[150,156],[157,160],[161,167],[168,172],[173,178],[179,185],[186,188],[189,193],[193,194],[195,198],[199,202],[203,206],[207,216],[217,227],[228,237],[238,248],[249,255],[256,261],[261,262],[263,267],[268,274],[275,282],[283,287],[287,288],[289,296],[297,301],[302,310],[310,311],[312,315],[316,321],[322,328],[329,339],[340,343],[344,351],[352,355],[356,359],[360,363],[364,370],[371,379],[380,389],[390,396],[396,397],[398,404],[405,410],[411,418],[418,419],[420,427],[428,434],[435,437],[438,441],[442,447],[448,451],[452,455],[456,461],[461,462]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.386000156402588} +{"basename":"brandes_naturlehre01_1830","par_idx":2138,"date":1830,"orig":"Wenn man den Horizont in 8 Theile theilt, ſo liegt bekanntlich Nordweſt mitten zwiſchen Norden und Weſten nimmt man eine Theilung in 16 Theile, ſo liegt Nordnordweſt mitten zwiſchen Nordweſt und Nord, Weſtnordweſt mitten zwiſchen Weſt und Nordweſt.","norm":"Wenn man den Horizont in 8 Teile teilt, so liegt bekanntlich Nordwesten mitten zwischen Norden und Westen nimmt man eine Teilung in 16 Teile, so liegt Nordnordwest mitten zwischen Nordwesten und Nord, Westnordwest mitten zwischen West und Nordwesten.","orig_tok":["Wenn","man","den","Horizont","in","8","Theile","theilt",",","ſo","liegt","bekanntlich","Nordweſt","mitten","zwiſchen","Norden","und","Weſten","nimmt","man","eine","Theilung","in","16","Theile",",","ſo","liegt","Nordnordweſt","mitten","zwiſchen","Nordweſt","und","Nord",",","Weſtnordweſt","mitten","zwiſchen","Weſt","und","Nordweſt","."],"norm_tok":["Wenn","man","den","Horizont","in","8","Teile","teilt",",","so","liegt","bekanntlich","Nordwesten","mitten","zwischen","Norden","und","Westen","nimmt","man","eine","Teilung","in","16","Teile",",","so","liegt","Nordnordwest","mitten","zwischen","Nordwesten","und","Nord",",","Westnordwest","mitten","zwischen","West","und","Nordwesten","."],"orig_spans":[[0,4],[5,8],[9,12],[13,21],[22,24],[25,26],[27,33],[34,40],[40,41],[42,44],[45,50],[51,62],[63,71],[72,78],[79,87],[88,94],[95,98],[99,105],[106,111],[112,115],[116,120],[121,129],[130,132],[133,135],[136,142],[142,143],[144,146],[147,152],[153,165],[166,172],[173,181],[182,190],[191,194],[195,199],[199,200],[201,213],[214,220],[221,229],[230,234],[235,238],[239,247],[247,248]],"norm_spans":[[0,4],[5,8],[9,12],[13,21],[22,24],[25,26],[27,32],[33,38],[38,39],[40,42],[43,48],[49,60],[61,71],[72,78],[79,87],[88,94],[95,98],[99,105],[106,111],[112,115],[116,120],[121,128],[129,131],[132,134],[135,140],[140,141],[142,144],[145,150],[151,163],[164,170],[171,179],[180,190],[191,194],[195,199],[199,200],[201,213],[214,220],[221,229],[230,234],[235,238],[239,249],[249,250]],"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":4.208899974822998} +{"basename":"brandes_naturlehre01_1830","par_idx":2139,"date":1830,"orig":"Bei der Eintheilung in 32 Windſtriche endlich liegt Weſt gen Nord zwiſchen Weſt und Weſtnordweſt, Nordweſt gen Weſt zwiſchen Nordweſt und Weſtnordweſt etc.","norm":"Bei der Einteilung in 32 Windstriche endlich liegt West gen Nord zwischen West und Westnordwest, Nordwesten gen West zwischen Nordwesten und Westnordwest 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+{"basename":"brandes_naturlehre01_1830","par_idx":2140,"date":1830,"orig":"Ungleicher Stand des Barometers zu gleicher Zeit an verſchiedenen Orten.","norm":"Ungleicher Stand des Barometers zu gleicher Zeit an verschiedenen Orten.","orig_tok":["Ungleicher","Stand","des","Barometers","zu","gleicher","Zeit","an","verſchiedenen","Orten","."],"norm_tok":["Ungleicher","Stand","des","Barometers","zu","gleicher","Zeit","an","verschiedenen","Orten","."],"orig_spans":[[0,10],[11,16],[17,20],[21,31],[32,34],[35,43],[44,48],[49,51],[52,65],[66,71],[71,72]],"norm_spans":[[0,10],[11,16],[17,20],[21,31],[32,34],[35,43],[44,48],[49,51],[52,65],[66,71],[71,72]],"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":4.39769983291626} +{"basename":"brandes_naturlehre01_1830","par_idx":2141,"date":1830,"orig":"Dieſe Kenntniß von dem Zuſammenhange des hoͤheren und niedrigeren Barometerſtandes mit den Richtungen des Windes iſt allerdings ein Beitrag zur Theorie der Aenderungen des Barometerſtandes; aber zum Ziele fuͤhrt ſie uns dennoch nicht.","norm":"Diese Kenntnis von dem Zusammenhang des höheren und niedrigeren Barometerstandes mit den Richtungen des Windes ist allerdings ein Beitrag zur Theorie der Änderungen des Barometerstandes; aber zum Ziele führt sie uns dennoch 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+{"basename":"brandes_naturlehre01_1830","par_idx":2142,"date":1830,"orig":"Wir ſehen hier nur die drei Umſtaͤnde vereinigt, wenn der Wind aus Nordoſten koͤmmt, ſo ſteigt das Barometer, und wegen des aus kaͤltern Gegenden kommenden Windes faͤllt das Thermometer, wenn er aus Suͤden und Suͤdweſten koͤmmt, ſo faͤllt das Barometer und das Thermometer ſteigt; — ſo fern iſt Dove's Regel, (die auch ſonſt wohl ſchon angegeben iſt,) wahr, daß das Barometer ein Thermometer iſt.","norm":"Wir sehen hier nur die drei Umstände vereinigt, wenn der Wind aus Nordosten kommt, so steigt das Barometer, und wegen des aus kälteren Gegenden kommenden Windes fällt das Thermometer, wenn er aus Süden und Südwesten kommt, so fällt das Barometer und das Thermometer steigt; — so fern ist Doves Regel, (die auch sonst wohl schon angegeben ist,) wahr, dass das Barometer ein Thermometer 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+{"basename":"brandes_naturlehre01_1830","par_idx":2143,"date":1830,"orig":"Fuͤgt man hiezu auch noch die zweite Bemerkung, daß die kaͤltere Luft darum, weil ſie dichter und ſchwerer iſt, den Druck der Luft vermehrt und das Barometer zum Steigen bringt, ſo erhellen doch die Gruͤnde noch nicht, warum der Wechſel eintritt.","norm":"Fügt man hierzu auch noch die zweite Bemerkung, dass die kältere Luft darum, weil sie dichter und schwerer ist, den Druck der Luft vermehrt und das Barometer zum Steigen bringt, so erhellen doch die Gründe noch nicht, warum der Wechsel 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+{"basename":"brandes_naturlehre01_1830","par_idx":2144,"date":1830,"orig":"Wir kommen der Beantwortung dieſer Frage um etwas naͤher durch die aus den Beobachtungen gezogene Folgerung, daß wir Nordwind haben oder bekommen, wenn daß Barometer in nordlichen Gegenden hoͤher ſteht und umgekehrt.","norm":"Wir kommen der Beantwortung dieser Frage um etwas näher durch die aus den Beobachtungen gezogene Folgerung, dass wir Nordwind haben oder bekommen, wenn dass Barometer in nordlichen Gegenden höher steht und umgekehrt.","orig_tok":["Wir","kommen","der","Beantwortung","dieſer","Frage","um","etwas","naͤher","durch","die","aus","den","Beobachtungen","gezogene","Folgerung",",","daß","wir","Nordwind","haben","oder","bekommen",",","wenn","daß","Barometer","in","nordlichen","Gegenden","hoͤher","ſteht","und","umgekehrt","."],"norm_tok":["Wir","kommen","der","Beantwortung","dieser","Frage","um","etwas","näher","durch","die","aus","den","Beobachtungen","gezogene","Folgerung",",","dass","wir","Nordwind","haben","oder","bekommen",",","wenn","dass","Barometer","in","nordlichen","Gegenden","höher","steht","und","umgekehrt","."],"orig_spans":[[0,3],[4,10],[11,14],[15,27],[28,34],[35,40],[41,43],[44,49],[50,56],[57,62],[63,66],[67,70],[71,74],[75,88],[89,97],[98,107],[107,108],[109,112],[113,116],[117,125],[126,131],[132,136],[137,145],[145,146],[147,151],[152,155],[156,165],[166,168],[169,179],[180,188],[189,195],[196,201],[202,205],[206,215],[215,216]],"norm_spans":[[0,3],[4,10],[11,14],[15,27],[28,34],[35,40],[41,43],[44,49],[50,55],[56,61],[62,65],[66,69],[70,73],[74,87],[88,96],[97,106],[106,107],[108,112],[113,116],[117,125],[126,131],[132,136],[137,145],[145,146],[147,151],[152,156],[157,166],[167,169],[170,180],[181,189],[190,195],[196,201],[202,205],[206,215],[215,216]],"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":4.667799949645996} 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+{"basename":"brandes_naturlehre01_1830","par_idx":2146,"date":1830,"orig":"Die Luft ſtroͤmt, und das iſt ganz natuͤrlich, den Gegenden zu, wo der geringere Druck iſt; aber woher dieſer geringere Druck in der einen, der ſtaͤrkere Druck in der andern Gegend entſtanden iſt, das bleibt immer gleich dunkel . Man hat, wie es ſcheint, mit Recht, angenommen, daß aus den Stroͤmungen der warmen Luft vom Aequator gegen den Nordpol und der kalten Luft gegen den Aequator zu ſich nicht bloß zwei uͤber einander liegende Stroͤme bilden, wie ich es neulich angab, ſondern daß ſie ſehr oft neben einander fortgehen, indem der waͤrmere ſich (um nur von unſern Gegenden zu reden,) uͤber dem Atlantiſchen Meere bis zur Erde herab erſtrecke, und daneben uͤber dem feſten Lande von Europa und Aſien ein kalter Strom, ſelbſt bis zur Erde herab, vorherrſchend ſei; da wo einer dieſer Stroͤme das Uebergewicht erhaͤlt, da entſtehen die Aenderungen von Wind, Witterung, Barometerſtand und Waͤrme.","norm":"Die Luft strömt, und das ist ganz natürlich, den Gegenden zu, wo der geringere Druck ist; aber woher dieser geringere Druck in der einen, der stärkere Druck in der anderen Gegend entstanden ist, das bleibt immer gleich dunkel . Man hat, wie es scheint, mit Recht, angenommen, dass aus den Strömungen der warmen Luft vom Äquator gegen den Nordpol und der kalten Luft gegen den Äquator zu sich nicht bloß zwei übereinander liegende Ströme bilden, wie ich es neulich angab, sondern dass sie sehr oft nebeneinander fortgehen, indem der wärmere sich (um nur von unseren Gegenden zu reden,) über dem Atlantischen Meere bis zur Erde herab erstrecke, und daneben über dem festen Lande von Europa und Asien ein kalter Strom, selbst bis zur Erde herab, vorherrschend sei; da wo einer dieser Ströme das Übergewicht erhält, da entstehen die Änderungen von Wind, Witterung, Barometerstand und 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folgte.","orig_tok":["Es","ereignet","ſich","naͤmlich","in","unſern","Gegenden","zuweilen",",","daß","das","Barometer","in","18","oder","20","Stunden","um","einen","ganzen","Zoll","faͤllt",",","und","bei","dieſem","ſchnellen","Fallen","zugleich","eine","ſehr","große","Tiefe","unter","ſeinem","mittlern","Stande","erreicht",",","eine","Tiefe",",","die","an","einigen","Orten","bis","nahe","an","2","Zoll","unter","der","Mittelhoͤhe","gehen","kann",",","ja","Krufenſtern","beobachtete","im","Japaniſchen","Meere","ein","Sinken","des","Barometers","von","30","Linien","in","5","Stunden",",","worauf","ein","unerhoͤrt","heftiger","Sturm","folgte","."],"norm_tok":["Es","ereignet","sich","nämlich","in","unseren","Gegenden","zuweilen",",","dass","das","Barometer","in","18","oder","20","Stunden","um","einen","ganzen","Zoll","fällt",",","und","bei","diesem","schnellen","Fallen","zugleich","eine","sehr","große","Tiefe","unter","seinem","mittleren","Stande","erreicht",",","eine","Tiefe",",","die","an","einigen","Orten","bis","nahe","an","2","Zoll","unter","der","Mittelhöhe","gehen","kann",",","ja","Krufenstern","beobachtete","im","japanischen","Meere","ein","Sinken","des","Barometers","von","30","Linien","in","5","Stunden",",","worauf","ein","unerhört","heftiger","Sturm","folgte","."],"orig_spans":[[0,2],[3,11],[12,16],[17,25],[26,28],[29,35],[36,44],[45,53],[53,54],[55,58],[59,62],[63,72],[73,75],[76,78],[79,83],[84,86],[87,94],[95,97],[98,103],[104,110],[111,115],[116,122],[122,123],[124,127],[128,131],[132,138],[139,148],[149,155],[156,164],[165,169],[170,174],[175,180],[181,186],[187,192],[193,199],[200,208],[209,215],[216,224],[224,225],[226,230],[231,236],[236,237],[238,241],[242,244],[245,252],[253,258],[259,262],[263,267],[268,270],[271,272],[273,277],[278,283],[284,287],[288,299],[300,305],[306,310],[310,311],[312,314],[315,326],[327,338],[339,341],[342,353],[354,359],[360,363],[364,370],[371,374],[375,385],[386,389],[390,392],[393,399],[400,402],[403,404],[405,412],[412,413],[414,420],[421,424],[425,434],[435,443],[444,449],[450,456],[456,457]],"norm_spans":[[0,2],[3,11],[12,16],[17,24],[25,27],[28,35],[36,44],[45,53],[53,54],[55,59],[60,63],[64,73],[74,76],[77,79],[80,84],[85,87],[88,95],[96,98],[99,104],[105,111],[112,116],[117,122],[122,123],[124,127],[128,131],[132,138],[139,148],[149,155],[156,164],[165,169],[170,174],[175,180],[181,186],[187,192],[193,199],[200,209],[210,216],[217,225],[225,226],[227,231],[232,237],[237,238],[239,242],[243,245],[246,253],[254,259],[260,263],[264,268],[269,271],[272,273],[274,278],[279,284],[285,288],[289,299],[300,305],[306,310],[310,311],[312,314],[315,326],[327,338],[339,341],[342,353],[354,359],[360,363],[364,370],[371,374],[375,385],[386,389],[390,392],[393,399],[400,402],[403,404],[405,412],[412,413],[414,420],[421,424],[425,433],[434,442],[443,448],[449,455],[455,456]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.783199787139893} +{"basename":"brandes_naturlehre01_1830","par_idx":2154,"date":1830,"orig":"Wenn ein ſo tiefer Barometerſtand ſtatt findet, ſo glaubt man gewoͤhnlich, es muͤſſe ein Sturm eintreten; aber es iſt gar nicht ſelten, daß an dem Orte, wo das Barometer ſo ſehr tief ſteht, die Luft ganz ruhig bleibt, und meiſtens eine fuͤr die Jahreszeit zu hohe Waͤrme zeigt, waͤhrend zu eben der Zeit andre Gegenden von den heftigſten Stuͤrmen betroffen werden.","norm":"Wenn ein so tiefer Barometerstand stattfindet, so glaubt man gewöhnlich, es müsse ein Sturm eintreten; aber es ist gar nicht selten, dass an dem Orte, wo das Barometer so sehr tief steht, die Luft ganz ruhig bleibt, und meistens eine für die Jahreszeit zu hohe Wärme zeigt, während zu eben der Zeit andere Gegenden von den heftigsten Stürmen betroffen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2155,"date":1830,"orig":"Wenn man die an verſchiedenen Orten angeſtellten Beobachtungen vergleicht, ſo findet man immer eine Gegend von nur geringer Ausdehnung, wo das Barometer am tiefſten unter dem Mittel ſtand, und von dieſem Puncte des tiefſten Standes ausgehend findet man, (ſo weit die Beobachtungen geſtatten, dieſen Schluß allgemein auszuſprechen,) nach allen Seiten hin den Barometerſtand nach und nach hoͤher; gegen dieſen Ort des kleinſten Druckes zu aber den Wind der entlegenen Gegenden gerichtet, ſo als ob die Luft von allen Seiten her dieſem Puncte des kleinſten Luftdruckes zuſtroͤmte.","norm":"Wenn man die an verschiedenen Orten angestellten Beobachtungen vergleicht, so findet man immer eine Gegend von nur geringer Ausdehnung, wo das Barometer am tiefsten unter dem Mittel stand, und von diesem Punkte des tiefsten Standes ausgehend findet man, (so weit die Beobachtungen gestatten, diesen Schluss allgemein auszusprechen,) nach allen Seiten hin den Barometerstand nach und nach höher; gegen diesen Ort des kleinsten Druckes zu aber den Wind der entlegenen Gegenden gerichtet, so als ob die Luft von allen Seiten her diesem Punkte des kleinsten Luftdruckes 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Maͤrz 1783 erwaͤhnen, wo das Centrum der tiefen Barometerſtaͤnde in der Schweitz lag, wo in Deutſchland oͤſtlicher Wind herrſchte, waͤhrend ein wuͤthender Orcan aus Suͤdweſt ſich vom Sicilianiſchen Meere uͤber Neapel nach dem Adriatiſchen Meere ausbreitete.","norm":"Als ein Beispiel, wo sich diese Abnahme des tiefen Barometerstandes fast nach allen Seiten hin nachweisen lässt, will ich hier den 12. März 1783 erwähnen, wo das Zentrum der tiefen Barometerstände in der Schweiz lag, wo in Deutschland östlicher Wind herrschte, während ein wütender Orkan aus Südwest sich vom sizilianischen Meere über Neapel nach dem Adriatischen Meere ausbreitete.","orig_tok":["Als","ein","Beiſpiel",",","wo","ſich","dieſe","Abnahme","des","tiefen","Barometerſtandes","faſt","nach","allen","Seiten","hin","nachweiſen","laͤßt",",","will","ich","hier","den","12.","Maͤrz","1783","erwaͤhnen",",","wo","das","Centrum","der","tiefen","Barometerſtaͤnde","in","der","Schweitz","lag",",","wo","in","Deutſchland","oͤſtlicher","Wind","herrſchte",",","waͤhrend","ein","wuͤthender","Orcan","aus","Suͤdweſt","ſich","vom","Sicilianiſchen","Meere","uͤber","Neapel","nach","dem","Adriatiſchen","Meere","ausbreitete","."],"norm_tok":["Als","ein","Beispiel",",","wo","sich","diese","Abnahme","des","tiefen","Barometerstandes","fast","nach","allen","Seiten","hin","nachweisen","lässt",",","will","ich","hier","den","12.","März","1783","erwähnen",",","wo","das","Zentrum","der","tiefen","Barometerstände","in","der","Schweiz","lag",",","wo","in","Deutschland","östlicher","Wind","herrschte",",","während","ein","wütender","Orkan","aus","Südwest","sich","vom","sizilianischen","Meere","über","Neapel","nach","dem","Adriatischen","Meere","ausbreitete","."],"orig_spans":[[0,3],[4,7],[8,16],[16,17],[18,20],[21,25],[26,31],[32,39],[40,43],[44,50],[51,67],[68,72],[73,77],[78,83],[84,90],[91,94],[95,105],[106,111],[111,112],[113,117],[118,121],[122,126],[127,130],[131,134],[135,140],[141,145],[146,155],[155,156],[157,159],[160,163],[164,171],[172,175],[176,182],[183,199],[200,202],[203,206],[207,215],[216,219],[219,220],[221,223],[224,226],[227,238],[239,249],[250,254],[255,264],[264,265],[266,274],[275,278],[279,289],[290,295],[296,299],[300,308],[309,313],[314,317],[318,332],[333,338],[339,344],[345,351],[352,356],[357,360],[361,373],[374,379],[380,391],[391,392]],"norm_spans":[[0,3],[4,7],[8,16],[16,17],[18,20],[21,25],[26,31],[32,39],[40,43],[44,50],[51,67],[68,72],[73,77],[78,83],[84,90],[91,94],[95,105],[106,111],[111,112],[113,117],[118,121],[122,126],[127,130],[131,134],[135,139],[140,144],[145,153],[153,154],[155,157],[158,161],[162,169],[170,173],[174,180],[181,196],[197,199],[200,203],[204,211],[212,215],[215,216],[217,219],[220,222],[223,234],[235,244],[245,249],[250,259],[259,260],[261,268],[269,272],[273,281],[282,287],[288,291],[292,299],[300,304],[305,308],[309,323],[324,329],[330,334],[335,341],[342,346],[347,350],[351,363],[364,369],[370,381],[381,382]],"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":4.165999889373779} +{"basename":"brandes_naturlehre01_1830","par_idx":2157,"date":1830,"orig":"Wenn man die am Morgen des 12.Maͤrz beobachteten Barometerſtaͤnde vergleicht, ſo findet man das Barometer auf dem St. Gotthard 11½ Linien unter der Mittelhoͤhe, in Padua, Muͤnchen und Genf 10 Linien, in Regensburg, Wuͤrzburg, Mannheim und Bologna 9 Linien, in Marſeille, Dijon und Prag 8½ bis 8 Linien, am Fuße der Pyrenaͤen, in Wien und Rom 7 Linien, in Rochelle, Duͤſſeldorf, Goͤttingen und Berlin 6 bis 5½ Linien, in Ofen und Middelburg 4 Linien, in Portugal 3 Linien, in Copenhagen 1 Linie unter der Mittelhoͤhe, in Stockholm und Petersburg ſtand es ungefehr auf der Mittelhoͤhe, in Spydberga (in Norwegen) u. Torneâ 3 Linien, in Moscau 8 Linien uͤber der Mittelhoͤhe.","norm":"Wenn man die am Morgen des 12. März beobachteten Barometerstände vergleicht, so findet man das Barometer auf dem St. Gotthard 111/2 Linien unter der Mittelhöhe, in Padua, München und Genf 10 Linien, in Regensburg, Würzburg, Mannheim und Bologna 9 Linien, in Marseille, Dijon und Prag 81/2 bis 8 Linien, am Fuße der Pyrenäen, in Wien und Rom 7 Linien, in Rochelle, Düsseldorf, Göttingen und Berlin 6 bis 51/2 Linien, in Ofen und Middelburg 4 Linien, in Portugal 3 Linien, in Kopenhagen 1 Linie unter der Mittelhöhe, in Stockholm und Petersburg stand es ungefähr auf der Mittelhöhe, in Spydberga (in Norwegen) u. 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Dec. 1821 fiel das Barometer zu einer ſo ungewoͤhnlichen Tiefe in ganz Deutſchland und Frankreich, daß dieſe Erſcheinung die Aufmerkſamkeit ſelbſt der Unkundigen erregte.","norm":"Am 24. und 25. Dec. 1821 fiel das Barometer zu einer so ungewöhnlichen Tiefe in ganz Deutschland und Frankreich, dass diese Erscheinung die Aufmerksamkeit selbst der Unkundigen erregte.","orig_tok":["Am","24.","und","25.","Dec.","1821","fiel","das","Barometer","zu","einer","ſo","ungewoͤhnlichen","Tiefe","in","ganz","Deutſchland","und","Frankreich",",","daß","dieſe","Erſcheinung","die","Aufmerkſamkeit","ſelbſt","der","Unkundigen","erregte","."],"norm_tok":["Am","24.","und","25.","Dec",".","1821","fiel","das","Barometer","zu","einer","so","ungewöhnlichen","Tiefe","in","ganz","Deutschland","und","Frankreich",",","dass","diese","Erscheinung","die","Aufmerksamkeit","selbst","der","Unkundigen","erregte","."],"orig_spans":[[0,2],[3,6],[7,10],[11,14],[15,19],[20,24],[25,29],[30,33],[34,43],[44,46],[47,52],[53,55],[56,71],[72,77],[78,80],[81,85],[86,97],[98,101],[102,112],[112,113],[114,117],[118,123],[124,135],[136,139],[140,154],[155,161],[162,165],[166,176],[177,184],[184,185]],"norm_spans":[[0,2],[3,6],[7,10],[11,14],[15,18],[18,19],[20,24],[25,29],[30,33],[34,43],[44,46],[47,52],[53,55],[56,70],[71,76],[77,79],[80,84],[85,96],[97,100],[101,111],[111,112],[113,117],[118,123],[124,135],[136,139],[140,154],[155,161],[162,165],[166,176],[177,184],[184,185]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.486599922180176} +{"basename":"brandes_naturlehre01_1830","par_idx":2160,"date":1830,"orig":"In Boulogne am Canal, wo ſchon am 24. 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Dec. eingetreten; in Holland und Deutſchland wurde erſt um Mittag des 25. Dec. der tiefſte Barometerſtand beobachtet, in Norwegen, Preußen und Pohlen am 25. Dec. Abends, in Petersburg und Åbo erſt am 26. Dec.","norm":"In Nantes war der tiefste Stand schon in den Nachmittagsstunden des 24. Dec. eingetreten; in Holland und Deutschland wurde erst um Mittag des 25. Dec. der tiefste Barometerstand beobachtet, in Norwegen, Preußen und Polen am 25. Dec. Abends, in Petersburg und Abo erst am 26. 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+{"basename":"brandes_naturlehre01_1830","par_idx":2162,"date":1830,"orig":"Und waͤhrend ſo ein ungewoͤhnlich geringer Luftdruck gegen Oſten hin fortruͤckend ſtatt fand, wurden die ſuͤdlichen Kuͤſten Frankreichs und Ober-Italiens von einem faſt unerhoͤrten Orcane betroffen, der in Genua und Venedig große Verheerungen auf dem Meere und auf dem Lande anrichtete; in Boulogne aber und an den franzoͤſiſchen Kuͤſten des Canals, wo das Barometer am tiefſten ſtand, blieb die Luft ruhig, und auch in Holland iſt wenigſtens kein auffallender Sturm beobachtet worden.","norm":"Und während so ein ungewöhnlich geringer Luftdruck gegen Osten hin fortrückend stattfand, wurden die südlichen Küsten Frankreichs und Ober-Italiens von einem fast unerhörten Orkane betroffen, der in Genua und Venedig große Verheerungen auf dem Meere und auf dem Lande anrichtete; in Boulogne aber und an den französischen Küsten des Canals, wo das Barometer am tiefsten stand, blieb die Luft ruhig, und auch in Holland ist 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+{"basename":"brandes_naturlehre01_1830","par_idx":2166,"date":1830,"orig":"Dove hat auch dieſe ſehr tiefen Barometerſtaͤnde als durch jene Luftſtroͤme hervorgebracht, zu erklaͤren geſucht, indem naͤmlich jener noͤrdliche und ſuͤdliche Strom neben einander hin ihren Lauf naͤhmen, ſo entſtaͤnden an den Grenzen beider Stroͤme Wirbel, die ſich darin, daß die Stuͤrme in der Nordſee meiſtens aus Suͤdweſt anfangen, und dann nach Weſt und Nordweſt umlaufen, kenntlich machten.","norm":"Dove hat auch diese sehr tiefen Barometerstände als durch jene Luftströme hervorgebracht, zu erklären gesucht, indem nämlich jener nördliche und südliche Strom nebeneinander hin ihren Lauf nähmen, so entständen an den Grenzen beider Ströme Wirbel, die sich darin, dass die Stürme in der Nordsee meistens aus Südwest anfangen, und dann nach West und Nordwesten umlaufen, kenntlich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2167,"date":1830,"orig":"Ich muß geſtehen, daß dieſe Erklaͤrung mir nicht genuͤgt, vorzuͤglich, weil ein Fallen des Barometers, das bis zu ein Vierzehntel der ganzen Hoͤhe geht, wohl gewiß nicht durch eine Wirbelbewegung erklaͤrt werden kann, und es auch gar nicht nachgewieſen werden kann, daß die einzelnen Lufttheilchen einen Kreislauf um jenen Mittelpunct vollenden.","norm":"Ich muss gestehen, dass diese Erklärung mir nicht genügt, vorzüglich, weil ein Fallen des Barometers, das bis zu ein Vierzehntel der ganzen Höhe geht, wohl gewiss nicht durch eine Wirbelbewegung erklärt werden kann, und es auch gar nicht nachgewiesen werden kann, dass die einzelnen Luftteilchen einen Kreislauf um jenen Mittelpunkt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2169,"date":1830,"orig":"Ich verhehle es nicht, daß das Phaͤnomen hoͤchſt raͤthſelhaft bleibt, daß wir jene Urſache, welche die Luft gleichſam verzehrt, und welche oſtwaͤrts fortruͤckt, gar nicht kennen, und alſo auch nicht genau anzugeben vermoͤgen, warum ſie nur den Sturm aus Suͤden und Suͤdweſten ſeine ganze Gewalt erreichen laͤßt, waͤhrend ſie dem Zuſtroͤmen der Luft von Oſten und Norden her nur eine maͤßige Gewalt geſtattet; aber ich glaube, es iſt hier beſſer, fuͤr jetzt nur Beobachtungen zuſammenzuſtellen und die Erklaͤrung einem kuͤnftigen, wahrſcheinlich nicht mehr entfernten Zeitpuncte vorzubehalten.","norm":"Ich verhehle es nicht, dass das Phänomen höchst rätselhaft bleibt, dass wir jene Ursache, welche die Luft gleichsam verzehrt, und welche ostwärts fortrückt, gar nicht kennen, und also auch nicht genau anzugeben vermögen, warum sie nur den Sturm aus Süden und Südwesten seine ganze Gewalt erreichen lässt, während sie dem Zuströmen der Luft von Osten und Norden her nur eine mäßige Gewalt gestattet; aber ich glaube, es ist hier besser, für jetzt nur Beobachtungen zusammenzustellen und die Erklärung einem künftigen, wahrscheinlich nicht mehr entfernten Zeitpunkt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2172,"date":1830,"orig":"Und auffallend genug trifft der vulkaniſche Ausbruch des Oefields- Joͤkul auf Island mit dem tiefen Barometerſtaͤnde am 25. Dec. 1821 zuſammen, und im Jahre 1783 fand das furchtbare Erdbeben in Calabrien am 5. Februar und den folgenden Tagen ſtatt, womit tiefe Barometerſtaͤnde vom 6. bis 9. Febr. beinahe gleichzeitig ſind; aber dennoch ſcheint es ſehr ungewiß, ob man eine ſolche Verbindung annehmen darf, da dieſes Zuſammentreffen doch nicht regelmaͤßig genug ſcheint, und wenigſtens der tiefe Barometerſtand nicht in den Gegenden am auffallendſten iſt, wo die Erdbeben und die vulcaniſchen Ausbruͤche ſtatt finden.","norm":"Und auffallend genug trifft der vulkanische Ausbruch des Oefields-Jökul auf Island mit dem tiefen Barometerstände am 25. Dec. 1821 zusammen, und im Jahre 1783 fand das furchtbare Erdbeben in Kalabrien am 5. Februar und den folgenden Tagen statt, womit tiefe Barometerstände vom 6. bis 9. Febr. beinahe gleichzeitig sind; aber dennoch scheint es sehr ungewiss, ob man eine solche Verbindung annehmen darf, da dieses Zusammentreffen doch nicht regelmäßig genug scheint, und wenigstens der tiefe Barometerstand nicht in den Gegenden am auffallendsten ist, wo die Erdbeben und die vulkanischen Ausbrüche stattfinden.","orig_tok":["Und","auffallend","genug","trifft","der","vulkaniſche","Ausbruch","des","Oefields-","Joͤkul","auf","Island","mit","dem","tiefen","Barometerſtaͤnde","am","25.","Dec.","1821","zuſammen",",","und","im","Jahre","1783","fand","das","furchtbare","Erdbeben","in","Calabrien","am","5.","Februar","und","den","folgenden","Tagen","ſtatt",",","womit","tiefe","Barometerſtaͤnde","vom","6.","bis","9.","Febr.","beinahe","gleichzeitig","ſind",";","aber","dennoch","ſcheint","es","ſehr","ungewiß",",","ob","man","eine","ſolche","Verbindung","annehmen","darf",",","da","dieſes","Zuſammentreffen","doch","nicht","regelmaͤßig","genug","ſcheint",",","und","wenigſtens","der","tiefe","Barometerſtand","nicht","in","den","Gegenden","am","auffallendſten","iſt",",","wo","die","Erdbeben","und","die","vulcaniſchen","Ausbruͤche","ſtatt","finden","."],"norm_tok":["Und","auffallend","genug","trifft","der","vulkanische","Ausbruch","des","Oefields-Jökul","auf","Island","mit","dem","tiefen","Barometerstände","am","25.","Dec",".","1821","zusammen",",","und","im","Jahre","1783","fand","das","furchtbare","Erdbeben","in","Kalabrien","am","5.","Februar","und","den","folgenden","Tagen","statt",",","womit","tiefe","Barometerstände","vom","6.","bis","9.","Febr",".","beinahe","gleichzeitig","sind",";","aber","dennoch","scheint","es","sehr","ungewiss",",","ob","man","eine","solche","Verbindung","annehmen","darf",",","da","dieses","Zusammentreffen","doch","nicht","regelmäßig","genug","scheint",",","und","wenigstens","der","tiefe","Barometerstand","nicht","in","den","Gegenden","am","auffallendsten","ist",",","wo","die","Erdbeben","und","die","vulkanischen","Ausbrüche","stattfinden","."],"orig_spans":[[0,3],[4,14],[15,20],[21,27],[28,31],[32,43],[44,52],[53,56],[57,66],[67,73],[74,77],[78,84],[85,88],[89,92],[93,99],[100,116],[117,119],[120,123],[124,128],[129,133],[134,142],[142,143],[144,147],[148,150],[151,156],[157,161],[162,166],[167,170],[171,181],[182,190],[191,193],[194,203],[204,206],[207,209],[210,217],[218,221],[222,225],[226,235],[236,241],[242,247],[247,248],[249,254],[255,260],[261,277],[278,281],[282,284],[285,288],[289,291],[292,297],[298,305],[306,318],[319,323],[323,324],[325,329],[330,337],[338,345],[346,348],[349,353],[354,361],[361,362],[363,365],[366,369],[370,374],[375,381],[382,392],[393,401],[402,406],[406,407],[408,410],[411,417],[418,433],[434,438],[439,444],[445,456],[457,462],[463,470],[470,471],[472,475],[476,486],[487,490],[491,496],[497,511],[512,517],[518,520],[521,524],[525,533],[534,536],[537,551],[552,555],[555,556],[557,559],[560,563],[564,572],[573,576],[577,580],[581,593],[594,604],[605,610],[611,617],[617,618]],"norm_spans":[[0,3],[4,14],[15,20],[21,27],[28,31],[32,43],[44,52],[53,56],[57,71],[72,75],[76,82],[83,86],[87,90],[91,97],[98,113],[114,116],[117,120],[121,124],[124,125],[126,130],[131,139],[139,140],[141,144],[145,147],[148,153],[154,158],[159,163],[164,167],[168,178],[179,187],[188,190],[191,200],[201,203],[204,206],[207,214],[215,218],[219,222],[223,232],[233,238],[239,244],[244,245],[246,251],[252,257],[258,273],[274,277],[278,280],[281,284],[285,287],[288,292],[292,293],[294,301],[302,314],[315,319],[319,320],[321,325],[326,333],[334,341],[342,344],[345,349],[350,358],[358,359],[360,362],[363,366],[367,371],[372,378],[379,389],[390,398],[399,403],[403,404],[405,407],[408,414],[415,430],[431,435],[436,441],[442,452],[453,458],[459,466],[466,467],[468,471],[472,482],[483,486],[487,492],[493,507],[508,513],[514,516],[517,520],[521,529],[530,532],[533,547],[548,551],[551,552],[553,555],[556,559],[560,568],[569,572],[573,576],[577,589],[590,599],[600,611],[611,612]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,8],[10,9],[11,10],[12,11],[13,12],[14,13],[15,14],[16,15],[17,16],[18,17],[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],[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],[95,96],[96,97],[97,98],[98,98],[99,99]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.257100105285644} +{"basename":"brandes_naturlehre01_1830","par_idx":2173,"date":1830,"orig":"Merkwuͤrdig bleibt es jedoch, daß ziemlich oft beide Ereigniſſe nahe zuſammen eingetroffen ſind.","norm":"Merkwürdig bleibt es jedoch, dass ziemlich oft beide Ereignisse nahe zusammen eingetroffen 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Gegenden.","orig_tok":["Ungleichheit","der","Variationen","in","verſchiedenen","Gegenden","."],"norm_tok":["Ungleichheit","der","Variationen","in","verschiedenen","Gegenden","."],"orig_spans":[[0,12],[13,16],[17,28],[29,31],[32,45],[46,54],[54,55]],"norm_spans":[[0,12],[13,16],[17,28],[29,31],[32,45],[46,54],[54,55]],"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":5.547599792480469} +{"basename":"brandes_naturlehre01_1830","par_idx":2175,"date":1830,"orig":"Im Allgemeinen nehmen die Ungleichheiten im Barometerſtande deſto mehr zu, je mehr man ſich vom Aequator entfernt, indeß wuͤrde man ſich irren, wenn man gradezu nach der geographiſchen Breite beurtheilen wollte, ob an einem Orte die Variationen des Barometers groͤßer, als an einem andern Orte, ſind.","norm":"Im Allgemeinen nehmen die Ungleichheiten im Barometerstande desto mehr zu, je mehr man sich vom Äquator entfernt, indes würde man sich irren, wenn man geradezu nach der geographischen Breite beurteilen wollte, ob an einem Orte die Variationen des Barometers größer, als an einem anderen Orte, sind.","orig_tok":["Im","Allgemeinen","nehmen","die","Ungleichheiten","im","Barometerſtande","deſto","mehr","zu",",","je","mehr","man","ſich","vom","Aequator","entfernt",",","indeß","wuͤrde","man","ſich","irren",",","wenn","man","gradezu","nach","der","geographiſchen","Breite","beurtheilen","wollte",",","ob","an","einem","Orte","die","Variationen","des","Barometers","groͤßer",",","als","an","einem","andern","Orte",",","ſind","."],"norm_tok":["Im","Allgemeinen","nehmen","die","Ungleichheiten","im","Barometerstande","desto","mehr","zu",",","je","mehr","man","sich","vom","Äquator","entfernt",",","indes","würde","man","sich","irren",",","wenn","man","geradezu","nach","der","geographischen","Breite","beurteilen","wollte",",","ob","an","einem","Orte","die","Variationen","des","Barometers","größer",",","als","an","einem","anderen","Orte",",","sind","."],"orig_spans":[[0,2],[3,14],[15,21],[22,25],[26,40],[41,43],[44,59],[60,65],[66,70],[71,73],[73,74],[75,77],[78,82],[83,86],[87,91],[92,95],[96,104],[105,113],[113,114],[115,120],[121,127],[128,131],[132,136],[137,142],[142,143],[144,148],[149,152],[153,160],[161,165],[166,169],[170,184],[185,191],[192,203],[204,210],[210,211],[212,214],[215,217],[218,223],[224,228],[229,232],[233,244],[245,248],[249,259],[260,267],[267,268],[269,272],[273,275],[276,281],[282,288],[289,293],[293,294],[295,299],[299,300]],"norm_spans":[[0,2],[3,14],[15,21],[22,25],[26,40],[41,43],[44,59],[60,65],[66,70],[71,73],[73,74],[75,77],[78,82],[83,86],[87,91],[92,95],[96,103],[104,112],[112,113],[114,119],[120,125],[126,129],[130,134],[135,140],[140,141],[142,146],[147,150],[151,159],[160,164],[165,168],[169,183],[184,190],[191,201],[202,208],[208,209],[210,212],[213,215],[216,221],[222,226],[227,230],[231,242],[243,246],[247,257],[258,264],[264,265],[266,269],[270,272],[273,278],[279,286],[287,291],[291,292],[293,297],[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],[50,50],[51,51],[52,52]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.040999889373779} +{"basename":"brandes_naturlehre01_1830","par_idx":2176,"date":1830,"orig":"So viel ich aus den von mir verglichenen Beobachtungen ſchließen kann, ſind ſie mitten im Lande im Allgemeinen geringer, als an den Ufern des Meeres, und einige Orte ſcheinen ſich durch ungewoͤhnlich tiefe Barometerſtaͤnde vor andern auszuzeichnen.","norm":"So viel ich aus den von mir verglichenen Beobachtungen schließen kann, sind sie mitten im Lande im Allgemeinen geringer, als an den Ufern des Meeres, und einige Orte scheinen sich durch ungewöhnlich tiefe Barometerstände vor anderen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2177,"date":1830,"orig":"So zum Beiſpiel faͤllt das Barometer mitten in Deutſchland ſelten uͤber 14 oder hoͤchſtens 16 Linien unter dem Mittel, in 50 bis 51 Gr. geogr. Breite, ſtatt daß es an den Ufern der Normandie in eben der geographiſchen Breite bis 22½ Linie unter der Mittelhoͤhe ſinken kann; — eine Tiefe, die es ſelbſt in Preußen unter 55 Gr. Breite nie zu erreichen ſcheint.","norm":"So zum Beispiel fällt das Barometer mitten in Deutschland selten über 14 oder höchstens 16 Linien unter dem Mittel, in 50 bis 51 Gr. geogr. Breite, statt dass es an den Ufern der Normandie in eben der geographischen Breite bis 221/2 Linie unter der Mittelhöhe sinken kann; — eine Tiefe, die es selbst in Preußen unter 55 Gr. Breite nie zu erreichen scheint.","orig_tok":["So","zum","Beiſpiel","faͤllt","das","Barometer","mitten","in","Deutſchland","ſelten","uͤber","14","oder","hoͤchſtens","16","Linien","unter","dem","Mittel",",","in","50","bis","51","Gr.","geogr.","Breite",",","ſtatt","daß","es","an","den","Ufern","der","Normandie","in","eben","der","geographiſchen","Breite","bis","22½","Linie","unter","der","Mittelhoͤhe","ſinken","kann",";","—","eine","Tiefe",",","die","es","ſelbſt","in","Preußen","unter","55","Gr.","Breite","nie","zu","erreichen","ſcheint","."],"norm_tok":["So","zum","Beispiel","fällt","das","Barometer","mitten","in","Deutschland","selten","über","14","oder","höchstens","16","Linien","unter","dem","Mittel",",","in","50","bis","51","Gr",".","geogr",".","Breite",",","statt","dass","es","an","den","Ufern","der","Normandie","in","eben","der","geographischen","Breite","bis","221","/","2","Linie","unter","der","Mittelhöhe","sinken","kann",";","—","eine","Tiefe",",","die","es","selbst","in","Preußen","unter","55","Gr",".","Breite","nie","zu","erreichen","scheint","."],"orig_spans":[[0,2],[3,6],[7,15],[16,22],[23,26],[27,36],[37,43],[44,46],[47,58],[59,65],[66,71],[72,74],[75,79],[80,90],[91,93],[94,100],[101,106],[107,110],[111,117],[117,118],[119,121],[122,124],[125,128],[129,131],[132,135],[136,142],[143,149],[149,150],[151,156],[157,160],[161,163],[164,166],[167,170],[171,176],[177,180],[181,190],[191,193],[194,198],[199,202],[203,217],[218,224],[225,228],[229,232],[233,238],[239,244],[245,248],[249,260],[261,267],[268,272],[272,273],[274,275],[276,280],[281,286],[286,287],[288,291],[292,294],[295,301],[302,304],[305,312],[313,318],[319,321],[322,325],[326,332],[333,336],[337,339],[340,349],[350,357],[357,358]],"norm_spans":[[0,2],[3,6],[7,15],[16,21],[22,25],[26,35],[36,42],[43,45],[46,57],[58,64],[65,69],[70,72],[73,77],[78,87],[88,90],[91,97],[98,103],[104,107],[108,114],[114,115],[116,118],[119,121],[122,125],[126,128],[129,131],[131,132],[133,138],[138,139],[140,146],[146,147],[148,153],[154,158],[159,161],[162,164],[165,168],[169,174],[175,178],[179,188],[189,191],[192,196],[197,200],[201,215],[216,222],[223,226],[227,230],[230,231],[231,232],[233,238],[239,244],[245,248],[249,259],[260,266],[267,271],[271,272],[273,274],[275,279],[280,285],[285,286],[287,290],[291,293],[294,300],[301,303],[304,311],[312,317],[318,320],[321,323],[323,324],[325,331],[332,335],[336,338],[339,348],[349,356],[356,357]],"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],[24,25],[25,26],[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],[null,45],[null,46],[43,47],[44,48],[45,49],[46,50],[47,51],[48,52],[49,53],[50,54],[51,55],[52,56],[53,57],[54,58],[55,59],[56,60],[57,61],[58,62],[59,63],[60,64],[61,65],[61,66],[62,67],[63,68],[64,69],[65,70],[66,71],[67,72]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.191699981689453} +{"basename":"brandes_naturlehre01_1830","par_idx":2178,"date":1830,"orig":"Kaͤmß hat diejenigen Orte, welche gleiche Variationen des Barometers haben, durch Linien mit einander zu verbinden und die Geſetze, nach welchen die Lage dieſer Orte von den Parallelkreiſen abweicht, zu beſtimmen geſucht; aber die Beobachtungen ſind noch nicht ausgedehnt genug an vielen Orten der Erde angeſtellt, um ſichre Schluͤſſe darauf zu gruͤnden.","norm":"Kämß hat diejenigen Orte, welche gleiche Variationen des Barometers haben, durch Linien miteinander zu verbinden und die Gesetze, nach welchen die Lage dieser Orte von den Parallelkreisen abweicht, zu bestimmen gesucht; aber die Beobachtungen sind noch nicht ausgedehnt genug an vielen Orten der Erde angestellt, um sichre Schlüsse darauf zu gründen.","orig_tok":["Kaͤmß","hat","diejenigen","Orte",",","welche","gleiche","Variationen","des","Barometers","haben",",","durch","Linien","mit","einander","zu","verbinden","und","die","Geſetze",",","nach","welchen","die","Lage","dieſer","Orte","von","den","Parallelkreiſen","abweicht",",","zu","beſtimmen","geſucht",";","aber","die","Beobachtungen","ſind","noch","nicht","ausgedehnt","genug","an","vielen","Orten","der","Erde","angeſtellt",",","um","ſichre","Schluͤſſe","darauf","zu","gruͤnden","."],"norm_tok":["Kämß","hat","diejenigen","Orte",",","welche","gleiche","Variationen","des","Barometers","haben",",","durch","Linien","miteinander","zu","verbinden","und","die","Gesetze",",","nach","welchen","die","Lage","dieser","Orte","von","den","Parallelkreisen","abweicht",",","zu","bestimmen","gesucht",";","aber","die","Beobachtungen","sind","noch","nicht","ausgedehnt","genug","an","vielen","Orten","der","Erde","angestellt",",","um","sichre","Schlüsse","darauf","zu","gründen","."],"orig_spans":[[0,5],[6,9],[10,20],[21,25],[25,26],[27,33],[34,41],[42,53],[54,57],[58,68],[69,74],[74,75],[76,81],[82,88],[89,92],[93,101],[102,104],[105,114],[115,118],[119,122],[123,130],[130,131],[132,136],[137,144],[145,148],[149,153],[154,160],[161,165],[166,169],[170,173],[174,189],[190,198],[198,199],[200,202],[203,212],[213,220],[220,221],[222,226],[227,230],[231,244],[245,249],[250,254],[255,260],[261,271],[272,277],[278,280],[281,287],[288,293],[294,297],[298,302],[303,313],[313,314],[315,317],[318,324],[325,334],[335,341],[342,344],[345,353],[353,354]],"norm_spans":[[0,4],[5,8],[9,19],[20,24],[24,25],[26,32],[33,40],[41,52],[53,56],[57,67],[68,73],[73,74],[75,80],[81,87],[88,99],[100,102],[103,112],[113,116],[117,120],[121,128],[128,129],[130,134],[135,142],[143,146],[147,151],[152,158],[159,163],[164,167],[168,171],[172,187],[188,196],[196,197],[198,200],[201,210],[211,218],[218,219],[220,224],[225,228],[229,242],[243,247],[248,252],[253,258],[259,269],[270,275],[276,278],[279,285],[286,291],[292,295],[296,300],[301,311],[311,312],[313,315],[316,322],[323,331],[332,338],[339,341],[342,349],[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],[15,14],[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],[49,48],[50,49],[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":4.609899997711182} +{"basename":"brandes_naturlehre01_1830","par_idx":2179,"date":1830,"orig":"Merkwuͤrdig iſt ferner noch der Umſtand, daß die hoͤchſten Barometerſtaͤnde ſich lange nicht ſo hoch uͤber die Mittelhoͤhe erheben, als die tiefen Barometerſtaͤnde unter derſelben zuruͤckbleiben, indem z. B. die in Åbo am 25. Febr. 1825 beobachtete Barometerhoͤhe, groͤßer als man ſie ſeit 50 Jahren beobachtet hatte, doch kaum 10½ Linie uͤber dem Mittel betrug, ſtatt daß es am 3. Febr. eben des Jahres 21 Linien unter dem Mittel ſtand.","norm":"Merkwürdig ist ferner noch der Umstand, dass die höchsten Barometerstände sich lange nicht so hoch über die Mittelhöhe erheben, als die tiefen Barometerstände unter derselben zurückbleiben, indem z. B. die in Abo am 25. Febr. 1825 beobachtete Barometerhöhe, größer als man sie seit 50 Jahren beobachtet hatte, doch kaum 101/2 Linie über dem Mittel betrug, statt dass es am 3. Febr. eben des Jahres 21 Linien unter dem Mittel 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+{"basename":"brandes_naturlehre01_1830","par_idx":2180,"date":1830,"orig":"Dieſe ungleiche Entfernung der wahren mittlern Barometerhoͤhe von dem hoͤchſten und tiefſten Stande koͤmmt daher, weil die ſehr hohen Barometerſtaͤnde nicht ſo ſchnell voruͤbergehend ſind, als die ſehr tiefen Barometerſtaͤnde.","norm":"Diese ungleiche Entfernung der wahren mittleren Barometerhöhe von dem höchsten und tiefsten Stande kommt daher, weil die sehr hohen Barometerstände nicht so schnell vorübergehend sind, als die sehr tiefen Barometerstände.","orig_tok":["Dieſe","ungleiche","Entfernung","der","wahren","mittlern","Barometerhoͤhe","von","dem","hoͤchſten","und","tiefſten","Stande","koͤmmt","daher",",","weil","die","ſehr","hohen","Barometerſtaͤnde","nicht","ſo","ſchnell","voruͤbergehend","ſind",",","als","die","ſehr","tiefen","Barometerſtaͤnde","."],"norm_tok":["Diese","ungleiche","Entfernung","der","wahren","mittleren","Barometerhöhe","von","dem","höchsten","und","tiefsten","Stande","kommt","daher",",","weil","die","sehr","hohen","Barometerstände","nicht","so","schnell","vorübergehend","sind",",","als","die","sehr","tiefen","Barometerstände","."],"orig_spans":[[0,5],[6,15],[16,26],[27,30],[31,37],[38,46],[47,61],[62,65],[66,69],[70,79],[80,83],[84,92],[93,99],[100,106],[107,112],[112,113],[114,118],[119,122],[123,127],[128,133],[134,150],[151,156],[157,159],[160,167],[168,182],[183,187],[187,188],[189,192],[193,196],[197,201],[202,208],[209,225],[225,226]],"norm_spans":[[0,5],[6,15],[16,26],[27,30],[31,37],[38,47],[48,61],[62,65],[66,69],[70,78],[79,82],[83,91],[92,98],[99,104],[105,110],[110,111],[112,116],[117,120],[121,125],[126,131],[132,147],[148,153],[154,156],[157,164],[165,178],[179,183],[183,184],[185,188],[189,192],[193,197],[198,204],[205,220],[220,221]],"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":4.079899787902832} +{"basename":"brandes_naturlehre01_1830","par_idx":2181,"date":1830,"orig":"Auch das iſt ſehr merkwuͤrdig, daß der mittlere Luftdruck an der Oberflaͤche des Meeres nicht uͤberall gleich iſt.","norm":"Auch das ist sehr merkwürdig, dass der mittlere Luftdruck an der Oberfläche des Meeres nicht überall gleich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2182,"date":1830,"orig":"Kruſenſtern fuͤhrt eine Gegend an der Kuͤſte des ſuͤdlichen America an, wo er immer niedrigen Barometerſtand fand; aber noch ſicherer begruͤndet iſt Thorſtenſen's Behauptung, daß in Island die mittlere Barometerhoͤhe wenigſtens 3 Linien niedriger iſt, als an den Kuͤſten Deutſchlands, Frankreichs u. ſ. w. — Ein Umſtand, den man aus den uͤber das Atlantiſche Meer von Suͤden nach Norden gehenden Luftſtroͤmungen vielleicht erklaͤren kann, uͤber deſſen wahre Urſache aber doch immer noch viele Unſicherheit uͤbrig bleibt.","norm":"Krusenstern führt eine Gegend an der Küste des südlichen Amerika an, wo er immer niedrigen Barometerstand fand; aber noch sicherer begründet ist Thorstensens Behauptung, dass in Island die mittlere Barometerhöhe wenigstens 3 Linien niedriger ist, als an den Küsten Deutschlands, Frankreichs u. s. w. — ein Umstand, den man aus den über das atlantische Meer von Süden nach Norden gehenden 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+{"basename":"brandes_naturlehre01_1830","par_idx":2184,"date":1830,"orig":"Wenn die beiden Orte, wo man beobachtet, mehrere Meilen von einander entfernt liegen, ſo kann man annehmen, daß das Barometer an dem Orte, wo der Wind herkoͤmmt, etwas zu hoch ſteht, in Vergleichung gegen den andern.","norm":"Wenn die beiden Orte, wo man beobachtet, mehrere Meilen voneinander entfernt liegen, so kann man annehmen, dass das Barometer an dem Orte, wo der Wind herkommt, etwas zu hoch steht, in Vergleichung gegen den 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+{"basename":"brandes_naturlehre01_1830","par_idx":2185,"date":1830,"orig":"Iſt daher der hoͤher liegende Ort zugleich der, von welchem der Wind herkoͤmmt, ſo findet man ſeine Hoͤhe aus der Berechnung des Barometers etwas zu geringe; liegt der hoͤhere Ort da, wo der Wind hin geht, ſo findet man den berechneten Hoͤhen-Unterſchied groͤßer, als er wirklich iſt.","norm":"Ist daher der höher liegende Ort zugleich der, von welchem der Wind herkommt, so findet man seine Höhe aus der Berechnung des Barometers etwas zu geringe; liegt der höhere Ort da, wo der Wind hingeht, so findet man den berechneten Höhenunterschied größer, als er wirklich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2186,"date":1830,"orig":"Eine Berechnung von beinahe 400 auf dem Gotthard, in Genf und in Padua angeſtellten Beobachtungen hat mir gezeigt, daß die Hoͤhe des Gotthard bei Nordweſtwind 88 Fuß zu groß uͤber Genf, und 48 Fuß zu klein uͤber Padua gefunden ward, und daß bei ſtuͤrmiſchen Nordweſtwinden der mittlere Unterſchied ſogar dort 98, hier 74 Fuß betrug; bei Suͤdoſt-Suͤd- und Suͤdweſtwinden ward dagegen jene Hoͤhe etwa 10 Fuß zu klein, dieſe 17 Fuß zu groß gefunden.","norm":"Eine Berechnung von beinahe 400 auf dem Gotthard, in Genf und in Padua angestellten Beobachtungen hat mir gezeigt, dass die Höhe des Gotthard bei Nordwestwind 88 Fuß zu groß über Genf, und 48 Fuß zu klein über Padua gefunden wurde, und dass bei stürmischen Nordwestwinden der mittlere Unterschied sogar dort 98, hier 74 Fuß betrug; bei Südost-Süd- und Südwestwinden wurde dagegen jene Höhe etwa 10 Fuß zu klein, diese 17 Fuß zu groß 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+{"basename":"brandes_naturlehre01_1830","par_idx":2187,"date":1830,"orig":"Beitraͤge zur Witterungskunde. S. 229.","norm":"Beiträge zur Witterungskunde. S. 229.","orig_tok":["Beitraͤge","zur","Witterungskunde.","S.","229."],"norm_tok":["Beiträge","zur","Witterungskunde",".","S.","229."],"orig_spans":[[0,9],[10,13],[14,30],[31,33],[34,38]],"norm_spans":[[0,8],[9,12],[13,28],[28,29],[30,32],[33,37]],"alignment":[[0,0],[1,1],[2,2],[2,3],[3,4],[4,5]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.292399883270264} +{"basename":"brandes_naturlehre01_1830","par_idx":2188,"date":1830,"orig":"Ich muß endlich dieſen Gegenſtand abbrechen, obgleich die großen Stoͤrungen des Gleichgewichtes, wobei es ſich ereignen kann, daß am Meeres-Ufer in der einen Gegend das Barometer ſo hoch ſteht, als in eben dem Augenblicke 2000 Fuß uͤber dem Meere in einer andern Gegend, noch zu vielen Betrachtungen Anlaß geben koͤnnten.","norm":"Ich muss endlich diesen Gegenstand abbrechen, obgleich die großen Störungen des Gleichgewichtes, wobei es sich ereignen kann, dass am Meeresufer in der einen Gegend das Barometer so hoch steht, als in eben dem Augenblicke 2000 Fuß über dem Meere in einer anderen Gegend, noch zu vielen Betrachtungen Anlass geben könnten.","orig_tok":["Ich","muß","endlich","dieſen","Gegenſtand","abbrechen",",","obgleich","die","großen","Stoͤrungen","des","Gleichgewichtes",",","wobei","es","ſich","ereignen","kann",",","daß","am","Meeres-Ufer","in","der","einen","Gegend","das","Barometer","ſo","hoch","ſteht",",","als","in","eben","dem","Augenblicke","2000","Fuß","uͤber","dem","Meere","in","einer","andern","Gegend",",","noch","zu","vielen","Betrachtungen","Anlaß","geben","koͤnnten","."],"norm_tok":["Ich","muss","endlich","diesen","Gegenstand","abbrechen",",","obgleich","die","großen","Störungen","des","Gleichgewichtes",",","wobei","es","sich","ereignen","kann",",","dass","am","Meeresufer","in","der","einen","Gegend","das","Barometer","so","hoch","steht",",","als","in","eben","dem","Augenblicke","2000","Fuß","über","dem","Meere","in","einer","anderen","Gegend",",","noch","zu","vielen","Betrachtungen","Anlass","geben","könnten","."],"orig_spans":[[0,3],[4,7],[8,15],[16,22],[23,33],[34,43],[43,44],[45,53],[54,57],[58,64],[65,75],[76,79],[80,95],[95,96],[97,102],[103,105],[106,110],[111,119],[120,124],[124,125],[126,129],[130,132],[133,144],[145,147],[148,151],[152,157],[158,164],[165,168],[169,178],[179,181],[182,186],[187,192],[192,193],[194,197],[198,200],[201,205],[206,209],[210,221],[222,226],[227,230],[231,236],[237,240],[241,246],[247,249],[250,255],[256,262],[263,269],[269,270],[271,275],[276,278],[279,285],[286,299],[300,305],[306,311],[312,320],[320,321]],"norm_spans":[[0,3],[4,8],[9,16],[17,23],[24,34],[35,44],[44,45],[46,54],[55,58],[59,65],[66,75],[76,79],[80,95],[95,96],[97,102],[103,105],[106,110],[111,119],[120,124],[124,125],[126,130],[131,133],[134,144],[145,147],[148,151],[152,157],[158,164],[165,168],[169,178],[179,181],[182,186],[187,192],[192,193],[194,197],[198,200],[201,205],[206,209],[210,221],[222,226],[227,230],[231,235],[236,239],[240,245],[246,248],[249,254],[255,262],[263,269],[269,270],[271,275],[276,278],[279,285],[286,299],[300,306],[307,312],[313,320],[320,321]],"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":4.642300128936768} +{"basename":"brandes_naturlehre01_1830","par_idx":2189,"date":1830,"orig":"Siebzehnte Vorleſung.","norm":"Siebzehnte Vorlesung.","orig_tok":["Siebzehnte","Vorleſung","."],"norm_tok":["Siebzehnte","Vorlesung","."],"orig_spans":[[0,10],[11,20],[20,21]],"norm_spans":[[0,10],[11,20],[20,21]],"alignment":[[0,0],[1,1],[2,2]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.9822998046875} +{"basename":"brandes_naturlehre01_1830","par_idx":2190,"date":1830,"orig":"Erſcheinungen, die der Druck der Luft hervorbringt.","norm":"Erscheinungen, die der Druck der Luft hervorbringt.","orig_tok":["Erſcheinungen",",","die","der","Druck","der","Luft","hervorbringt","."],"norm_tok":["Erscheinungen",",","die","der","Druck","der","Luft","hervorbringt","."],"orig_spans":[[0,13],[13,14],[15,18],[19,22],[23,28],[29,32],[33,37],[38,50],[50,51]],"norm_spans":[[0,13],[13,14],[15,18],[19,22],[23,28],[29,32],[33,37],[38,50],[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":4.325099945068359} +{"basename":"brandes_naturlehre01_1830","par_idx":2191,"date":1830,"orig":"Die merkwuͤrdigen Anwendungen, m. h. H., die das Barometer uns darbietet, haben mich ſo weit von denjenigen Betrachtungen, die uns zur Kenntniß des Druckes der Luft fuͤhrten, abgelenkt, daß ich faſt von neuem wieder anfangen muß, um das Folgende an das Fruͤhere anzuknuͤpfen.","norm":"Die merkwürdigen Anwendungen, m. h. H., die das Barometer uns darbietet, haben mich so weit von denjenigen Betrachtungen, die uns zur Kenntnis des Druckes der Luft führten, abgelenkt, dass ich fast von neuem wieder anfangen muss, um das Folgende an das Frühere anzuknüpfen.","orig_tok":["Die","merkwuͤrdigen","Anwendungen",",","m.","h.","H.",",","die","das","Barometer","uns","darbietet",",","haben","mich","ſo","weit","von","denjenigen","Betrachtungen",",","die","uns","zur","Kenntniß","des","Druckes","der","Luft","fuͤhrten",",","abgelenkt",",","daß","ich","faſt","von","neuem","wieder","anfangen","muß",",","um","das","Folgende","an","das","Fruͤhere","anzuknuͤpfen","."],"norm_tok":["Die","merkwürdigen","Anwendungen",",","m.","h.","H.",",","die","das","Barometer","uns","darbietet",",","haben","mich","so","weit","von","denjenigen","Betrachtungen",",","die","uns","zur","Kenntnis","des","Druckes","der","Luft","führten",",","abgelenkt",",","dass","ich","fast","von","neuem","wieder","anfangen","muss",",","um","das","Folgende","an","das","Frühere","anzuknüpfen","."],"orig_spans":[[0,3],[4,17],[18,29],[29,30],[31,33],[34,36],[37,39],[39,40],[41,44],[45,48],[49,58],[59,62],[63,72],[72,73],[74,79],[80,84],[85,87],[88,92],[93,96],[97,107],[108,121],[121,122],[123,126],[127,130],[131,134],[135,143],[144,147],[148,155],[156,159],[160,164],[165,173],[173,174],[175,184],[184,185],[186,189],[190,193],[194,198],[199,202],[203,208],[209,215],[216,224],[225,228],[228,229],[230,232],[233,236],[237,245],[246,248],[249,252],[253,261],[262,274],[274,275]],"norm_spans":[[0,3],[4,16],[17,28],[28,29],[30,32],[33,35],[36,38],[38,39],[40,43],[44,47],[48,57],[58,61],[62,71],[71,72],[73,78],[79,83],[84,86],[87,91],[92,95],[96,106],[107,120],[120,121],[122,125],[126,129],[130,133],[134,142],[143,146],[147,154],[155,158],[159,163],[164,171],[171,172],[173,182],[182,183],[184,188],[189,192],[193,197],[198,201],[202,207],[208,214],[215,223],[224,228],[228,229],[230,232],[233,236],[237,245],[246,248],[249,252],[253,260],[261,272],[272,273]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.276899814605713} +{"basename":"brandes_naturlehre01_1830","par_idx":2192,"date":1830,"orig":"Den Druck der Luft lehrte das Barometer uns kennen und abmeſſen; es zeigte uns, daß in den niedrigern Gegenden, wo wir leben, die Luft auf jede Flaͤche ſoviel Druck ausuͤbt, als ob eben dieſe Flaͤche mit 28 Zoll hoch Queckſilber bedeckt waͤre.","norm":"Den Druck der Luft lehrte das Barometer uns kennen und abmessen; es zeigte uns, dass in den niedrigeren Gegenden, wo wir leben, die Luft auf jede Fläche soviel Druck ausübt, als ob eben diese Fläche mit 28 Zoll hoch Quecksilber bedeckt wäre.","orig_tok":["Den","Druck","der","Luft","lehrte","das","Barometer","uns","kennen","und","abmeſſen",";","es","zeigte","uns",",","daß","in","den","niedrigern","Gegenden",",","wo","wir","leben",",","die","Luft","auf","jede","Flaͤche","ſoviel","Druck","ausuͤbt",",","als","ob","eben","dieſe","Flaͤche","mit","28","Zoll","hoch","Queckſilber","bedeckt","waͤre","."],"norm_tok":["Den","Druck","der","Luft","lehrte","das","Barometer","uns","kennen","und","abmessen",";","es","zeigte","uns",",","dass","in","den","niedrigeren","Gegenden",",","wo","wir","leben",",","die","Luft","auf","jede","Fläche","soviel","Druck","ausübt",",","als","ob","eben","diese","Fläche","mit","28","Zoll","hoch","Quecksilber","bedeckt","wäre","."],"orig_spans":[[0,3],[4,9],[10,13],[14,18],[19,25],[26,29],[30,39],[40,43],[44,50],[51,54],[55,63],[63,64],[65,67],[68,74],[75,78],[78,79],[80,83],[84,86],[87,90],[91,101],[102,110],[110,111],[112,114],[115,118],[119,124],[124,125],[126,129],[130,134],[135,138],[139,143],[144,151],[152,158],[159,164],[165,172],[172,173],[174,177],[178,180],[181,185],[186,191],[192,199],[200,203],[204,206],[207,211],[212,216],[217,228],[229,236],[237,242],[242,243]],"norm_spans":[[0,3],[4,9],[10,13],[14,18],[19,25],[26,29],[30,39],[40,43],[44,50],[51,54],[55,63],[63,64],[65,67],[68,74],[75,78],[78,79],[80,84],[85,87],[88,91],[92,103],[104,112],[112,113],[114,116],[117,120],[121,126],[126,127],[128,131],[132,136],[137,140],[141,145],[146,152],[153,159],[160,165],[166,172],[172,173],[174,177],[178,180],[181,185],[186,191],[192,198],[199,202],[203,205],[206,210],[211,215],[216,227],[228,235],[236,240],[240,241]],"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":4.593200206756592} +{"basename":"brandes_naturlehre01_1830","par_idx":2193,"date":1830,"orig":"Dieſer Druck iſt 15½ Pfund auf einen Pariſer Quadratzoll und man kann daher rechnen, daß der menſchliche Koͤrper, deſſen Oberflaͤche wenigſtens 12 Quadratfuß betraͤgt, ungefehr 27000 Pfund Druck ertragen muß.","norm":"Dieser Druck ist 151/2 Pfund auf einen Pariser Quadratzoll und man kann daher rechnen, dass der menschliche Körper, dessen Oberfläche wenigstens 12 Quadratfuß beträgt, ungefähr 27000 Pfund Druck ertragen muss.","orig_tok":["Dieſer","Druck","iſt","15½","Pfund","auf","einen","Pariſer","Quadratzoll","und","man","kann","daher","rechnen",",","daß","der","menſchliche","Koͤrper",",","deſſen","Oberflaͤche","wenigſtens","12","Quadratfuß","betraͤgt",",","ungefehr","27000","Pfund","Druck","ertragen","muß","."],"norm_tok":["Dieser","Druck","ist","151","/","2","Pfund","auf","einen","Pariser","Quadratzoll","und","man","kann","daher","rechnen",",","dass","der","menschliche","Körper",",","dessen","Oberfläche","wenigstens","12","Quadratfuß","beträgt",",","ungefähr","27000","Pfund","Druck","ertragen","muss","."],"orig_spans":[[0,6],[7,12],[13,16],[17,20],[21,26],[27,30],[31,36],[37,44],[45,56],[57,60],[61,64],[65,69],[70,75],[76,83],[83,84],[85,88],[89,92],[93,104],[105,112],[112,113],[114,120],[121,132],[133,143],[144,146],[147,157],[158,166],[166,167],[168,176],[177,182],[183,188],[189,194],[195,203],[204,207],[207,208]],"norm_spans":[[0,6],[7,12],[13,16],[17,20],[20,21],[21,22],[23,28],[29,32],[33,38],[39,46],[47,58],[59,62],[63,66],[67,71],[72,77],[78,85],[85,86],[87,91],[92,95],[96,107],[108,114],[114,115],[116,122],[123,133],[134,144],[145,147],[148,158],[159,166],[166,167],[168,176],[177,182],[183,188],[189,194],[195,203],[204,208],[208,209]],"alignment":[[0,0],[1,1],[2,2],[3,3],[null,4],[null,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],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.664999961853027} +{"basename":"brandes_naturlehre01_1830","par_idx":2194,"date":1830,"orig":"Wir empfinden dieſen Druck nicht, weil die Luft zugleich in unſerem ganzen Koͤrper alle ſonſt leeren Zwiſchenraͤume ausfuͤllt, und dort mit eben der Elaſticitaͤt wie die aͤußere Luft der Zuſammendruͤckung widerſteht.","norm":"Wir empfinden diesen Druck nicht, weil die Luft zugleich in unserem ganzen Körper alle sonst leeren Zwischenräume ausfüllt, und dort mit eben der Elastizität wie die äußere Luft der Zusammendrückung 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+{"basename":"brandes_naturlehre01_1830","par_idx":2195,"date":1830,"orig":"Auf dieſem Drucke der Luft beruhen unzaͤhlige Phaͤnomene in der Natur, und unzaͤhlige theils zu nuͤtzlichen Zwecken theils zum Scherze ausgedachte Einrichtungen.","norm":"Auf diesem Drucke der Luft beruhen unzählige Phänomene in der Natur, und unzählige teils zu nützlichen Zwecken teils zum Scherze ausgedachte Einrichtungen.","orig_tok":["Auf","dieſem","Drucke","der","Luft","beruhen","unzaͤhlige","Phaͤnomene","in","der","Natur",",","und","unzaͤhlige","theils","zu","nuͤtzlichen","Zwecken","theils","zum","Scherze","ausgedachte","Einrichtungen","."],"norm_tok":["Auf","diesem","Drucke","der","Luft","beruhen","unzählige","Phänomene","in","der","Natur",",","und","unzählige","teils","zu","nützlichen","Zwecken","teils","zum","Scherze","ausgedachte","Einrichtungen","."],"orig_spans":[[0,3],[4,10],[11,17],[18,21],[22,26],[27,34],[35,45],[46,56],[57,59],[60,63],[64,69],[69,70],[71,74],[75,85],[86,92],[93,95],[96,107],[108,115],[116,122],[123,126],[127,134],[135,146],[147,160],[160,161]],"norm_spans":[[0,3],[4,10],[11,17],[18,21],[22,26],[27,34],[35,44],[45,54],[55,57],[58,61],[62,67],[67,68],[69,72],[73,82],[83,88],[89,91],[92,102],[103,110],[111,116],[117,120],[121,128],[129,140],[141,154],[154,155]],"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":6.08519983291626} 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eintaucht, während beide Enden offen gelassen sind, so füllt er sich mit Wasser; verschließt man nun die obere Öffnung mit dem Daumen und zieht die Röhre heraus, so bleibt das Wasser in ihr hängen und fließt weil die untere Öffnung enge ist, auch dann nicht aus, wenn man das ganze Instrument aus dem Wasser hervorhebt; erst wenn man die obere Öffnung frei macht, also dem Drucke der Luft den freien Zutritt auf die obere Fläche gestattet, fängt das Wasser an, 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+{"basename":"brandes_naturlehre01_1830","par_idx":2214,"date":1830,"orig":"Da naͤmlich jetzt ein Theil des Raumes AB mit den feſten Theilen des Kohlenſtaubes gefuͤllt iſt, ſo hat weniger Luft, als vorhin, in demſelben ſein koͤnnen; dieſe Luft zur halben Dichtigkeit verduͤnnt, dehnt ſich daher nur bis C aus, und CD giebt das Volumen der ganzen Maſſe des Kohlenſtaubes an, weil BD dem Volumen derjenigen Luft gleich iſt, die den ganzen Raum AB fuͤllte, BC dagegen demjenigen Volumen gleich iſt, welches die noch uͤbrige, durch den Kohlenſtaub nicht verdraͤngte Luft einnimmt.","norm":"Da nämlich jetzt ein Teil des Raumes AB mit den festen Teilen des Kohlenstaubes gefüllt ist, so hat weniger Luft, als vorhin, in demselben sein können; diese Luft zur halben Dichtigkeit verdünnt, dehnt sich daher nur bis C aus, und CD gibt das Volumen der ganzen Masse des Kohlenstaubes an, weil BD dem Volumen derjenigen Luft gleich ist, die den ganzen Raum AB füllte, BC dagegen demjenigen Volumen gleich ist, 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+{"basename":"brandes_naturlehre01_1830","par_idx":2215,"date":1830,"orig":"So iſt alſo der genaue Raum, den alle feſte Theile des Kohlenpulvers einnehmen, beſtimmt, und wenn man bei der Verfertigung des Inſtruments ausgemeſſen hat, wie viele Gran Waſſer jeden Theil der Roͤhre fuͤllen, alſo die Anzahl von Granen kennt, welche das den Raum CD fuͤllende Waſſer wiegt, ſo hat man nun nur noͤthig, den angewandten Kohlenſtaub auch abzuwaͤgen, um zu wiſſen, in welchem Verhaͤltniß ſein Gewicht gegen das Gewicht des Waſſers ſteht, oder das ſpecifiſche Gewicht zu beſtimmen.","norm":"So ist also der genaue Raum, den alle feste Teile des Kohlenpulvers einnehmen, bestimmt, und wenn man bei der Verfertigung des Instruments ausgemessen hat, wie viele Gran Wasser jeden Teil der Röhre füllen, also die Anzahl von Granen kennt, welche das den Raum CD füllende Wasser wiegt, so hat man nun nur nötig, den angewandten Kohlenstaub auch abzuwägen, um zu wissen, in welchem Verhältnis sein Gewicht gegen das 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+{"basename":"brandes_naturlehre01_1830","par_idx":2216,"date":1830,"orig":"Leslie's Verſuche geben das merkwuͤrdige Reſultat, daß Kohle, ſo leicht ſie uns, wegen der vielen mit Luft gefuͤllten Poren ſcheint, doch uͤber dreimal ſo ſchwer als Waſſer iſt, wenn man auf dieſe Weiſe ſie von der in ihr enthaltenen Luft befreiet; und dieſes Reſultat iſt beſonders deshalb merkwuͤrdig, weil daraus erhellt, daß die ſpecifiſche Schwere des Diamants und andrer faſt ganz aus Kohlenſtoff beſtehenden Koͤrper nicht ſo ſehr viel groͤßer als das der Kohle iſt.","norm":"Leslies Versuche geben das merkwürdige Resultat, dass Kohle, so leicht sie uns, wegen der vielen mit Luft gefüllten Poren scheint, doch über dreimal so schwer als Wasser ist, wenn man auf diese Weise sie von der in ihr enthaltenen Luft befreiet; und dieses Resultat ist besonders deshalb merkwürdig, weil daraus erhellt, dass die spezifische Schwere des Diamant und anderer fast ganz aus Kohlenstoff bestehenden Körper nicht so sehr viel größer als das der Kohle 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+{"basename":"brandes_naturlehre01_1830","par_idx":2217,"date":1830,"orig":"Schreibpapier zeigte ſich bei dieſem Verfahren 1¾ mal ſo ſchwer als Waſſer, Weitzenmehl 1½ mal ſo ſchwer als Waſſer u.ſ.w.","norm":"Schreibpapier zeigte sich bei diesem Verfahren 13/4 Mal so schwer als Wasser, Weizenmehl 11/2 Mal so schwer als Wasser u. s.w.","orig_tok":["Schreibpapier","zeigte","ſich","bei","dieſem","Verfahren","1¾","mal","ſo","ſchwer","als","Waſſer",",","Weitzenmehl","1½","mal","ſo","ſchwer","als","Waſſer","u.","ſ.w","."],"norm_tok":["Schreibpapier","zeigte","sich","bei","diesem","Verfahren","13","/","4","Mal","so","schwer","als","Wasser",",","Weizenmehl","11","/","2","Mal","so","schwer","als","Wasser","u.","s.w","."],"orig_spans":[[0,13],[14,20],[21,25],[26,29],[30,36],[37,46],[47,49],[50,53],[54,56],[57,63],[64,67],[68,74],[74,75],[76,87],[88,90],[91,94],[95,97],[98,104],[105,108],[109,115],[116,118],[118,121],[121,122]],"norm_spans":[[0,13],[14,20],[21,25],[26,29],[30,36],[37,46],[47,49],[49,50],[50,51],[52,55],[56,58],[59,65],[66,69],[70,76],[76,77],[78,88],[89,91],[91,92],[92,93],[94,97],[98,100],[101,107],[108,111],[112,118],[119,121],[122,125],[125,126]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[null,7],[null,8],[7,9],[8,10],[9,11],[10,12],[11,13],[12,14],[13,15],[14,16],[null,17],[null,18],[15,19],[16,20],[17,21],[18,22],[19,23],[20,24],[21,25],[22,26]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.033100128173828} +{"basename":"brandes_naturlehre01_1830","par_idx":2218,"date":1830,"orig":"Die Saugepumpe.","norm":"Die Saugepumpe.","orig_tok":["Die","Saugepumpe","."],"norm_tok":["Die","Saugepumpe","."],"orig_spans":[[0,3],[4,14],[14,15]],"norm_spans":[[0,3],[4,14],[14,15]],"alignment":[[0,0],[1,1],[2,2]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"af","orig_lang_de":0.667,"norm_lmscore":6.726500034332275} +{"basename":"brandes_naturlehre01_1830","par_idx":2219,"date":1830,"orig":"Daß unſre gewoͤhnlichen Saugepumpen durch den Druck der Luft wirkſam werden, habe ich ſchon in dem Experimente, das zur Abmeſſung des Druckes der Luft fuͤhrte, angedeutet.","norm":"Dass unsere gewöhnlichen Saugepumpen durch den Druck der Luft wirksam werden, habe ich schon in dem Experimente, das zur Abmessung des Druckes der Luft führte, angedeutet.","orig_tok":["Daß","unſre","gewoͤhnlichen","Saugepumpen","durch","den","Druck","der","Luft","wirkſam","werden",",","habe","ich","ſchon","in","dem","Experimente",",","das","zur","Abmeſſung","des","Druckes","der","Luft","fuͤhrte",",","angedeutet","."],"norm_tok":["Dass","unsere","gewöhnlichen","Saugepumpen","durch","den","Druck","der","Luft","wirksam","werden",",","habe","ich","schon","in","dem","Experimente",",","das","zur","Abmessung","des","Druckes","der","Luft","führte",",","angedeutet","."],"orig_spans":[[0,3],[4,9],[10,23],[24,35],[36,41],[42,45],[46,51],[52,55],[56,60],[61,68],[69,75],[75,76],[77,81],[82,85],[86,91],[92,94],[95,98],[99,110],[110,111],[112,115],[116,119],[120,129],[130,133],[134,141],[142,145],[146,150],[151,158],[158,159],[160,170],[170,171]],"norm_spans":[[0,4],[5,11],[12,24],[25,36],[37,42],[43,46],[47,52],[53,56],[57,61],[62,69],[70,76],[76,77],[78,82],[83,86],[87,92],[93,95],[96,99],[100,111],[111,112],[113,116],[117,120],[121,130],[131,134],[135,142],[143,146],[147,151],[152,158],[158,159],[160,170],[170,171]],"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":4.489999771118164} +{"basename":"brandes_naturlehre01_1830","par_idx":2220,"date":1830,"orig":"Sie ſind, wenn der Kolben CD (Fig. 126.) nicht bis auf die Oberflaͤche des Waſſers herabgedruͤckt wird, mit zwei Ventilen verſehen, deren eines bei AB das Waſſer hereinlaͤßt, aber den Zuruͤckgang aus der Roͤhre hindert, das zweite dagegen, im Kolben ſelbſt angebracht, ſich nach oben oͤffnet, damit die unter dem Kolben enthaltene Luft oder das den Kolben ſchon erreichende Waſſer von unten hinaufwaͤrts durchgehen, aber keine Luft von oben zudringen koͤnne.","norm":"Sie sind, wenn der Kolben CD (Fig. 126.) nicht bis auf die Oberfläche des Wassers herabgedrückt wird, mit zwei Ventilen versehen, deren eines bei AB das Wasser hereinlässt, aber den Zurückgang aus der Röhre hindert, das zweite dagegen, im Kolben selbst angebracht, sich nach oben öffnet, damit die unter dem Kolben enthaltene Luft oder das den Kolben schon erreichende Wasser von unten hinaufwärts durchgehen, aber keine Luft von oben zudringen könne.","orig_tok":["Sie","ſind",",","wenn","der","Kolben","CD","(","Fig.","126.",")","nicht","bis","auf","die","Oberflaͤche","des","Waſſers","herabgedruͤckt","wird",",","mit","zwei","Ventilen","verſehen",",","deren","eines","bei","AB","das","Waſſer","hereinlaͤßt",",","aber","den","Zuruͤckgang","aus","der","Roͤhre","hindert",",","das","zweite","dagegen",",","im","Kolben","ſelbſt","angebracht",",","ſich","nach","oben","oͤffnet",",","damit","die","unter","dem","Kolben","enthaltene","Luft","oder","das","den","Kolben","ſchon","erreichende","Waſſer","von","unten","hinaufwaͤrts","durchgehen",",","aber","keine","Luft","von","oben","zudringen","koͤnne","."],"norm_tok":["Sie","sind",",","wenn","der","Kolben","CD","(","Fig",".","126.",")","nicht","bis","auf","die","Oberfläche","des","Wassers","herabgedrückt","wird",",","mit","zwei","Ventilen","versehen",",","deren","eines","bei","AB","das","Wasser","hereinlässt",",","aber","den","Zurückgang","aus","der","Röhre","hindert",",","das","zweite","dagegen",",","im","Kolben","selbst","angebracht",",","sich","nach","oben","öffnet",",","damit","die","unter","dem","Kolben","enthaltene","Luft","oder","das","den","Kolben","schon","erreichende","Wasser","von","unten","hinaufwärts","durchgehen",",","aber","keine","Luft","von","oben","zudringen","könne","."],"orig_spans":[[0,3],[4,8],[8,9],[10,14],[15,18],[19,25],[26,28],[29,30],[30,34],[35,39],[39,40],[41,46],[47,50],[51,54],[55,58],[59,70],[71,74],[75,82],[83,97],[98,102],[102,103],[104,107],[108,112],[113,121],[122,130],[130,131],[132,137],[138,143],[144,147],[148,150],[151,154],[155,161],[162,173],[173,174],[175,179],[180,183],[184,195],[196,199],[200,203],[204,210],[211,218],[218,219],[220,223],[224,230],[231,238],[238,239],[240,242],[243,249],[250,256],[257,267],[267,268],[269,273],[274,278],[279,283],[284,291],[291,292],[293,298],[299,302],[303,308],[309,312],[313,319],[320,330],[331,335],[336,340],[341,344],[345,348],[349,355],[356,361],[362,373],[374,380],[381,384],[385,390],[391,403],[404,414],[414,415],[416,420],[421,426],[427,431],[432,435],[436,440],[441,450],[451,457],[457,458]],"norm_spans":[[0,3],[4,8],[8,9],[10,14],[15,18],[19,25],[26,28],[29,30],[30,33],[33,34],[35,39],[39,40],[41,46],[47,50],[51,54],[55,58],[59,69],[70,73],[74,81],[82,95],[96,100],[100,101],[102,105],[106,110],[111,119],[120,128],[128,129],[130,135],[136,141],[142,145],[146,148],[149,152],[153,159],[160,171],[171,172],[173,177],[178,181],[182,192],[193,196],[197,200],[201,206],[207,214],[214,215],[216,219],[220,226],[227,234],[234,235],[236,238],[239,245],[246,252],[253,263],[263,264],[265,269],[270,274],[275,279],[280,286],[286,287],[288,293],[294,297],[298,303],[304,307],[308,314],[315,325],[326,330],[331,335],[336,339],[340,343],[344,350],[351,356],[357,368],[369,375],[376,379],[380,385],[386,397],[398,408],[408,409],[410,414],[415,420],[421,425],[426,429],[430,434],[435,444],[445,450],[450,451]],"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],[33,34],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.479000091552734} +{"basename":"brandes_naturlehre01_1830","par_idx":2221,"date":1830,"orig":"Befand ſich nun der Kolben CD 12 Fuß hoch uͤber dem Waſſer und wird er bis EF 4 Fuß hoͤher gehoben, ſo kann die verduͤnnte Luft nicht mehr ganz dem Drucke der aͤußern Luft das Gleichgewicht halten, und eine probirend fortgefuͤhrte Rechnung zeigt, wie hoch das Waſſer bei dieſem erſten Kolbenzuge ſteigt.","norm":"Befand sich nun der Kolben CD 12 Fuß hoch über dem Wasser und wird er bis EF 4 Fuß höher gehoben, so kann die verdünnte Luft nicht mehr ganz dem Drucke der äußeren Luft das Gleichgewicht halten, und eine probierend fortgeführte Rechnung zeigt, wie hoch das Wasser bei diesem ersten Kolbenzuge 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+{"basename":"brandes_naturlehre01_1830","par_idx":2222,"date":1830,"orig":"Stiege es 2 Fuß bis GH, ſo waͤre EG = 14 Fuß, und die in 14 Fuß ſtatt 12 Fuß ausgedehnte Luft, leiſtete nur noch [Formel] des ganzen Druckes der Atmoſphaͤre, den ich = 32 Fuß Waſſer annehme; dann alſo druͤckten in A 2 Fuß Waſſer und dazu die Luft mit 32 ⋅ [Formel] = 27 [Formel] Fuß Druck.","norm":"Stiege es 2 Fuß bis GH, so wäre EG = 14 Fuß, und die in 14 Fuß statt 12 Fuß ausgedehnte Luft, leistete nur noch [Formel] des ganzen Druckes der Atmosphäre, den ich = 32 Fuß Wasser annehme; dann also drückten in A 2 Fuß Wasser und dazu die Luft mit 32 ⋅ [Formel] = 27 [Formel] Fuß 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+{"basename":"brandes_naturlehre01_1830","par_idx":2237,"date":1830,"orig":"Es wuͤrde naͤmlich Ruhe ſtatt finden, wenn die Roͤhre auch bei A in eben jener Fluͤſſigkeit eingetaucht waͤre, und dieſe bis an EF reichte; bei geringerm Gegendrucke von außen findet das Ausſtroͤmen ſtatt, und dauert fort, bis in CD die Oberflaͤche ſo tief als die Oeffnung A geſunken iſt, oder wenn die Fluͤſſigkeit in der Gegend EF ſteigt, bis beide Oberflaͤchen gleich hoch ſind.","norm":"Es würde nämlich Ruhe stattfinden, wenn die Röhre auch bei A in eben jener Flüssigkeit eingetaucht wäre, und diese bis an EF reichte; bei geringerem Gegendrucke von außen findet das Ausströmen statt, und dauert fort, bis in CD die Oberfläche so tief als die Öffnung A gesunken ist, oder wenn die Flüssigkeit in der Gegend EF steigt, bis beide Oberflächen gleich hoch 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+{"basename":"brandes_naturlehre01_1830","par_idx":2238,"date":1830,"orig":"Daß der Heber nicht uͤber 32 Fuß hoch das Waſſer heben kann, verſteht ſich von ſelbſt, da der Druck der Luft kein hoͤheres Heben geſtattet, und ebenſo erhellet, daß man das Waſſer vermittelſt des Hebers nie an einem hoͤhern Puncte, als die Oberflaͤche des Waſſers CD iſt, zum Ausfließen bringen kann, ſondern daß der Zweck nur der ſein darf, das Waſſer uͤber ein zwiſchenliegendes Hinderniß weg, zu einem tiefern Puncte zu leiten.","norm":"Dass der Heber nicht über 32 Fuß hoch das Wasser heben kann, versteht sich von selbst, da der Druck der Luft kein höheres Heben gestattet, und ebenso erhellet, dass man das Wasser vermittels des Hebers nie an einem höheren Punkte, als die Oberfläche des Wassers CD ist, zum Ausfließen bringen kann, sondern dass der Zweck nur der sein darf, das Wasser über ein zwischenliegendes Hindernis weg, zu einem tieferen Punkte zu 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bis an CD gefuͤllt iſt, gar kein Ausfließen ſtatt finden; fuͤllt man aber das Gefaͤß bis uͤber CD und hindert durch den an die Oeffnung A gehaltenen Finger den Ausfluß, ſo bleibt das Gefaͤß gefuͤllt, leert ſich aber ſogleich voͤllig aus, wenn man den bei A gehaltenen Finger wegnimmt, indem dann ab die hinaufgehende, und bc, die herabgehende Heberroͤhre iſt.","norm":"Bringt man nämlich den Heber so an, dass er (Fig. 128.) in der Säule AB verborgen liegt, so kann, solange das Gefäß noch nicht bis an CD gefüllt ist, gar kein Ausfließen stattfinden; füllt man aber das Gefäß bis über CD und hindert durch den an die Öffnung A gehaltenen Finger den Ausfluss, so bleibt das Gefäß gefüllt, leert sich aber sogleich völlig aus, wenn man den bei A gehaltenen Finger wegnimmt, indem dann ab die hinaufgehende, und bc, die herabgehende Heberröhre 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+{"basename":"brandes_naturlehre01_1830","par_idx":2265,"date":1830,"orig":"Gießt man bei Q nur nach und nach kleine Quantitaͤten Waſſer ein, ſo ſteigt zwar allmaͤhlig das Waſſer in der Roͤhre RQ immer etwas hoͤher und hoͤher uͤber die Oberflaͤche ST im untern Gefaͤße, aber erſt wenn die Luft hinreichend comprimirt iſt, um eine Waſſerſaͤule von der ganzen Hoͤhe UQ zu tragen, finden wir die Roͤhre ganz bis oben gefuͤllt, und koͤnnen nun kein Waſſer mehr einfuͤllen, obgleich das untere Gefaͤß noch nicht ganz gefuͤllt iſt.","norm":"Gießt man bei Q nur nach und nach kleine Quantitäten Wasser ein, so steigt zwar allmählich das Wasser in der Röhre RQ immer etwas höher und höher über die Oberfläche ST im unteren Gefäße, aber erst wenn die Luft hinreichend komprimiert ist, um eine Wassersäule von der ganzen Höhe UQ zu tragen, finden wir die Röhre ganz bis oben gefüllt, und können nun kein Wasser mehr einfüllen, obgleich das untere Gefäß noch nicht ganz gefüllt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2266,"date":1830,"orig":"Erſt nachdem alles ſo weit vorbereitet iſt, oͤffnet man den Hahn der Sprungroͤhre bei N, und das Waſſer dringt nun mit deſto groͤßerer Gewalt hervor, je hoͤher die Saͤule QU iſt, deren Gewicht die Luft zuſammenpreßt.","norm":"Erst nachdem alles so weit vorbereitet ist, öffnet man den Hahn der Sprungröhre bei N, und das Wasser dringt nun mit desto größerer Gewalt hervor, je höher die Säule QU ist, deren Gewicht die Luft 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+{"basename":"brandes_naturlehre01_1830","par_idx":2267,"date":1830,"orig":"Waͤren keine Hinderniſſe der Bewegung, ſo muͤßte das Waſſer ebenſo hoch uͤber AB hinaufſpritzen, als die Hoͤhe QU angiebt; denn die Luft druͤckt auf AB mit eben dieſer Gewalt, wie es eine ſo hohe Waſſerſaͤule thun wuͤrde.","norm":"Wären keine Hindernisse der Bewegung, so müsste das Wasser ebenso hoch über AB hinaufspritzen, als die Höhe QU angibt; denn die Luft drückt auf AB mit eben dieser Gewalt, wie es eine so hohe Wassersäule tun 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+{"basename":"brandes_naturlehre01_1830","par_idx":2271,"date":1830,"orig":"Die Erſcheinungen, die man am Carlsbader Sprudel beobachtet hat, legen am beſten vor Augen, wie es ſich dabei auch in Faͤllen, wo die Wirkungen viel groͤßer ſind, verhalten mag.","norm":"Die Erscheinungen, die man am Karlsbader Sprudel beobachtet hat, legen am besten vor Augen, wie es sich dabei auch in Fällen, wo die Wirkungen viel größer sind, verhalten 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+{"basename":"brandes_naturlehre01_1830","par_idx":2272,"date":1830,"orig":"Das Carlsbader Waſſer entwickelt ſo viele kohlenſaure Luft und Daͤmpfe, daß dadurch, zumal weil die Oeffnungen ſich gern mit Kalkniederſchlag verſtopfen, von dieſen elaſtiſchen Fluͤſſigkeiten und vom nachdringenden Waſſer, die Decke, unter welchem der natuͤrliche Behaͤlter des Waſſers ſich befindet, im Anfange des vorigen Jahrhunderts zerſprengt wurde.","norm":"Das Karlsbader Wasser entwickelt so viele kohlensaure Luft und Dämpfe, dass dadurch, zumal weil die Öffnungen sich gern mit Kalkniederschlag verstopfen, von diesen elastischen Flüssigkeiten und vom nachdringenden Wasser, die Decke, unter welchem der natürliche Behälter des Wassers sich befindet, im Anfange des vorigen Jahrhunderts zersprengt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2273,"date":1830,"orig":"Man ſah bei dieſer Gelegenheit, indem man die bedeckenden Kalkſchichten noch weiter durchbrach, daß in dem unterirdiſchen großen Behaͤlter das Waſſer, mit heftigem Brauſen unaufhoͤrlich aufkochend, Daͤmpfe und zugleich auch Luft entwickelte.","norm":"Man sah bei dieser Gelegenheit, indem man die bedeckenden Kalkschichten noch weiter durchbrach, dass in dem unterirdischen großen Behälter das Wasser, mit heftigem Brausen unaufhörlich aufkochend, Dämpfe und zugleich auch Luft 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+{"basename":"brandes_naturlehre01_1830","par_idx":2289,"date":1830,"orig":"Ohne hier auf die Umſtaͤnde einzugehen, von welchen es abhaͤngt, daß in ſo unzaͤhligen Faͤllen andre Luft-Arten, verſchieden von der atmoſphaͤriſchen Luft, ſich entwickeln, begnuͤge ich mich, Sie nur an die Erſcheinungen zu erinnern, welche die Geſundbrunnen, wenn wir eine damit gefuͤllte Flaſche oͤffnen, welche die Biere, und andre in Gaͤhrung gekommene Fluͤſſigkeiten darbieten.","norm":"Ohne hier auf die Umstände einzugehen, von welchen es abhängt, dass in so unzähligen Fällen andere Luftarten, verschieden von der atmosphärischen Luft, sich entwickeln, begnüge ich mich, Sie nur an die Erscheinungen zu erinnern, welche die Gesundbrunnen, wenn wir eine damit gefüllte Flasche öffnen, welche die Biere, und andere in Gehrung gekommene Flüssigkeiten 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+{"basename":"brandes_naturlehre01_1830","par_idx":2294,"date":1830,"orig":"Bei den im Freien hervorſprudelnden Quellen iſt es eben ſo; — die in ihren Waſſern enthaltene Luft dringt hervor, da wo kein Gegendruck ſie zuruͤckhaͤlt, und eine unter dem Gewoͤlbe des Sprudelkeſſels in Carlsbad verdichtete Luft wuͤrde dem Waſſer ſeine kohlenſaure Luft in noch ſtaͤrkerer Quantitaͤt erhalten, als es ohne eine ſolche gegenwirkende Kraft der Fall iſt.","norm":"Bei den im Freien hervorsprudelnden Quellen ist es eben so; — die in ihren Wassern enthaltene Luft dringt hervor, da wo kein Gegendruck sie zurückhält, und eine unter dem Gewölbe des Sprudelkessels in Karlsbad verdichtete Luft würde dem Wasser seine kohlensaure Luft in noch stärkerer Quantität erhalten, als es ohne eine solche gegenwirkende Kraft der Fall 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+{"basename":"brandes_naturlehre01_1830","par_idx":2296,"date":1830,"orig":"Die Verfertigung der kuͤnſtlichen Mineralwaſſer beruht auf eben dieſem Drucke verdichteter Luft.","norm":"Die Verfertigung der künstlichen Mineralwasser beruht auf eben diesem Drucke verdichteter Luft.","orig_tok":["Die","Verfertigung","der","kuͤnſtlichen","Mineralwaſſer","beruht","auf","eben","dieſem","Drucke","verdichteter","Luft","."],"norm_tok":["Die","Verfertigung","der","künstlichen","Mineralwasser","beruht","auf","eben","diesem","Drucke","verdichteter","Luft","."],"orig_spans":[[0,3],[4,16],[17,20],[21,33],[34,47],[48,54],[55,58],[59,63],[64,70],[71,77],[78,90],[91,95],[95,96]],"norm_spans":[[0,3],[4,16],[17,20],[21,32],[33,46],[47,53],[54,57],[58,62],[63,69],[70,76],[77,89],[90,94],[94,95]],"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":5.4593000411987305} 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Entwickelung der Luft; aber es giebt Faͤlle, wo die Gewalt der Entwickelung ſo groß iſt, daß ſie nur bei einem ungemein ſtarken Gegendrucke gehindert wird.","norm":"In den meisten Fällen ist die Gewalt, mit welcher die Luft, die in Flüssigkeiten enthalten ist, aus diesen sich zu entwickeln strebt, nicht so sehr groß, und eine nur mäßige Verdichtung der auf die Oberfläche drückenden Luft hindert die fernere Entwicklung der Luft; aber es gibt Fälle, wo die Gewalt der Entwicklung so groß ist, dass sie nur bei einem ungemein starken Gegendrucke gehindert 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Fig.135. ſtellt eine Einrichtung dar, wie ſie bei doppelt durchbohrtem Hahne bequem ſtatt finden kann.","norm":"Die Verschiedenheit der Einrichtung besteht in den ungleichen Mitteln, die man anwendet, um bei wiederholten Kolbenzügen die Verbindung der schon verdünnten oder verdichteten Luft mit der äußeren Luft zu unterbrechen; man bewirkt dieses entweder durch einen doppelt durchbohrten Hahn, oder durch Ventile, oder durch einen einfach durchbohrten Hahn. Fig. 135 . stellt eine Einrichtung dar, wie sie bei doppelt durchbohrtem Hahne bequem stattfinden 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+{"basename":"brandes_naturlehre01_1830","par_idx":2335,"date":1830,"orig":"Soll dieſe Luftpumpe zum Verdichten der Luft im Gefaͤße AB angewandt werden, ſo muß fuͤrs erſte das Gefaͤß AB nicht eine aufgeſetzte Glocke ſein, die, bei verſtaͤrktem Drucke von innen, gewiß abgeworfen wuͤrde, ſondern es muß ein feſtes Gefaͤß, an den Teller angeſchraubt und von hinreichend ſtarken Waͤnden ſein, und zweitens muß die ganze Arbeit des Hineindraͤngens der Luft durch eine umgekehrte Anordnung des Oeffnens und Schließens zu Stande gebracht werden.","norm":"Soll diese Luftpumpe zum Verdichten der Luft im Gefäße AB angewandt werden, so muss fürs Erste das Gefäß AB nicht eine aufgesetzte Glocke sein, die, bei verstärktem Drucke von innen, gewiss abgeworfen würde, sondern es muss ein festes Gefäß, an den Teller angeschraubt und von hinreichend starken Wänden sein, und zweitens muss die ganze Arbeit des Hineindrängens der Luft durch eine umgekehrte Anordnung des Öffnens und Schließens zu Stande gebracht 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das Doppelte, Dreifache, Vierfache bei den drei ersten Kolbenstößen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2341,"date":1830,"orig":"Wird naͤmlich Fig. 137. der Kolben AB nach der Muͤndung der Roͤhre, die zum Recipienten CD fuͤhrt, zu gedraͤngt, ſo ſchließt ſich das bei E angebrachte Ventil und die im Cylinder befindliche Luft findet einen Ausweg durch das im Kolben angebrachte Ventil, welches die Durchbohrung des Kolbens von oben her verſchließt, und ſich beim Andrange der Luft von unten her oͤffnet.","norm":"Wird nämlich Fig. 137. der Kolben AB nach der Mündung der Röhre, die zum Rezipienten CD führt, zu gedrängt, so schließt sich das bei E angebrachte Ventil und die im Zylinder befindliche Luft findet einen Ausweg durch das im Kolben angebrachte Ventil, welches die Durchbohrung des Kolbens von oben her verschließt, und sich beim Andrang der Luft von unten her 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+{"basename":"brandes_naturlehre01_1830","par_idx":2351,"date":1830,"orig":"So geht die Arbeit fort, und wenn der obere Hahn in ſeiner Faſſung ganz genau ſchließt, der Stift in der Seiten-Oeffnung keine Luft durchlaͤßt, und der ſchaͤdliche Raum zwiſchen dem Kolben und dem Hahne durch ein genaues Anſchließen beider an einander ſo vollkommen als moͤglich vermieden iſt, ſo kann man die Luft bis zu einer Dichtigkeit, die kaum noch [Formel] der natuͤrlichen Dichtigkeit iſt, herunter bringen.","norm":"So geht die Arbeit fort, und wenn der obere Hahn in seiner Fassung ganz genau schließt, der Stift in der Seitenöffnung keine Luft durchlässt, und der schädliche Raum zwischen dem Kolben und dem Hahne durch ein genaues Anschließen beider aneinander so vollkommen als möglich vermieden ist, so kann man die Luft bis zu einer Dichtigkeit, die kaum noch [Formel] der natürlichen Dichtigkeit ist, 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+{"basename":"brandes_naturlehre01_1830","par_idx":2353,"date":1830,"orig":"Mittel den Grad der Verduͤnnung oder Verdichtung zu beſtimmen.","norm":"Mittel den Grad der Verdünnung oder Verdichtung zu bestimmen.","orig_tok":["Mittel","den","Grad","der","Verduͤnnung","oder","Verdichtung","zu","beſtimmen","."],"norm_tok":["Mittel","den","Grad","der","Verdünnung","oder","Verdichtung","zu","bestimmen","."],"orig_spans":[[0,6],[7,10],[11,15],[16,19],[20,31],[32,36],[37,48],[49,51],[52,61],[61,62]],"norm_spans":[[0,6],[7,10],[11,15],[16,19],[20,30],[31,35],[36,47],[48,50],[51,60],[60,61]],"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":3.512799978256225} +{"basename":"brandes_naturlehre01_1830","par_idx":2354,"date":1830,"orig":"Das beſte Mittel, um den Grad der erlangten Verduͤnnung der Luft zu meſſen, iſt die Barometerprobe.","norm":"Das beste Mittel, um den Grad der 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+{"basename":"brandes_naturlehre01_1830","par_idx":2358,"date":1830,"orig":"Es ſei Fig. 138. die kurze Roͤhre ABC ſo, wie ein Barometer, mit ausgekochtem Queckſilber gefuͤllt, ſo wird das Queckſilber ſich an die obere Woͤlbung A der zugeſchmelzten Roͤhre dicht anlegen, weil der bei C wirkende Druck der Atmoſphaͤre das Queckſilber ja viel hoͤher erhalten koͤnnte.","norm":"Es sei Fig. 138. die kurze Röhre ABC so, wie ein Barometer, mit ausgekochtem Quecksilber gefüllt, so wird das Quecksilber sich an die obere Wölbung A der zugeschmelzten Röhre dicht anlegen, weil der bei C wirkende Druck der Atmosphäre das Quecksilber ja viel höher erhalten 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+{"basename":"brandes_naturlehre01_1830","par_idx":2359,"date":1830,"orig":"Ich will annehmen, die Hoͤhe des oberſten Punctes A uͤber C ſei = 1 Zoll.","norm":"Ich will annehmen, die Höhe des obersten Punktes A über C sei = 1 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Eine recht gute Luftpumpe muß nicht nur geſtatten, daß die Verduͤnnung bis zu dieſem Puncte gelange, ſondern dieſe Verduͤnnung muß auch ſich geraume Zeit durch ungeaͤndert erhalten.","norm":"Es gibt viele Versuche, bei denen man sich begnügen kann, dieses Barometer bis auf ½ Zoll herabgebracht zu haben; aber es gibt einige Versuche (namentlich das Gefrieren des Wassers im luftleeren Raume bei einer in der Umgebung der Luftpumpe auf 15, 18 und mehr Grade steigenden Temperatur), die nur gelingen, wenn das Barometer bis zu 1 Linie oder wenigstens 11/2 Linie herabgesunken ist . 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+{"basename":"brandes_naturlehre01_1830","par_idx":2363,"date":1830,"orig":"Der eben erwaͤhnte Verſuch gehoͤrt in die Lehre von der Waͤrme.","norm":"Der eben erwähnte Versuch gehört in die Lehre von der Wärme.","orig_tok":["Der","eben","erwaͤhnte","Verſuch","gehoͤrt","in","die","Lehre","von","der","Waͤrme","."],"norm_tok":["Der","eben","erwähnte","Versuch","gehört","in","die","Lehre","von","der","Wärme","."],"orig_spans":[[0,3],[4,8],[9,18],[19,26],[27,34],[35,37],[38,41],[42,47],[48,51],[52,55],[56,62],[62,63]],"norm_spans":[[0,3],[4,8],[9,17],[18,25],[26,32],[33,35],[36,39],[40,45],[46,49],[50,53],[54,59],[59,60]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.332099914550781} +{"basename":"brandes_naturlehre01_1830","par_idx":2364,"date":1830,"orig":"Statt dieſer kleinen, unter die Glocke zu ſtellenden Barometerprobe, wendet man oft ein langes 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+{"basename":"brandes_naturlehre01_1830","par_idx":2367,"date":1830,"orig":"Es ſei (Fig. 139.)","norm":"Es sei (Fig. 139.)","orig_tok":["Es","ſei","(","Fig.","139",".",")"],"norm_tok":["Es","sei","(","Fig",".","139.",")"],"orig_spans":[[0,2],[3,6],[7,8],[8,12],[13,16],[16,17],[17,18]],"norm_spans":[[0,2],[3,6],[7,8],[8,11],[11,12],[13,17],[17,18]],"alignment":[[0,0],[1,1],[2,2],[3,3],[3,4],[4,5],[5,5],[6,6]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"af","orig_lang_de":0.667,"norm_lmscore":6.101699829101562} +{"basename":"brandes_naturlehre01_1830","par_idx":2368,"date":1830,"orig":"GH das mit verdichteter Luft gefuͤllte Gefaͤß, und daran eine hinreichend ſtarke, bei A geſchloſſene, bei C mit dem Innern des Gefaͤßes in Verbindung ſtehende Glasroͤhre angebracht.","norm":"GH das mit verdichteter Luft gefüllte Gefäß, und daran eine hinreichend starke, bei A geschlossene, bei C mit dem Inneren des Gefäßes in Verbindung stehende Glasröhre 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Wenn man nach vollendetem Verſuche die Luft aus dem Recipienten auslaͤßt, ſo muß man Sorge tragen, daß dieſes nicht zu ploͤtzlich geſchehe, damit das Queckſilber aus der Roͤhre ſich nicht zu heftig gegen C hin hervordraͤnge.","norm":"Wenn sich bei AD in der geschlossenen Röhre Luft von natürlicher Dichtigkeit befindet, so steht beim Anfange des Versuches das Quecksilber in D, E, gleich hoch; sobald aber bei E verdichtete Luft auf die Oberfläche des Quecksilbers drückt, wird die Luft AD in einen engeren Raum zusammengepresst, und ihre Verdichtung wird, bei gehöriger Rücksicht auf die von der Luft im Rezipienten zugleich noch getragene Quecksilbersäule, den Grad der Verdichtung der im Rezipienten enthaltenen Luft angeben . 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ganz geſchloſſenen Glocken eines Recipienten, in deſſen oberem Boden ein luftdicht durchgehendes Staͤbchen AB angebracht iſt (Fig. 140.), und ſtelle unter dieſen Recipienten ein Gefaͤß mit Queckſilber DE grade ſo, daß die Muͤndung FG des an jenem Staͤbchen befeſtigten glaͤſernen Gefaͤßes FGH ſich uͤber dem Queckſilber befindet.","norm":"Man bediene sich statt der oben ganz geschlossenen Glocken eines Rezipienten, in dessen oberem Boden ein luftdicht durchgehendes Stäbchen AB angebracht ist (Fig. 140.), und stelle unter diesen Rezipienten ein Gefäß mit Quecksilber DE gerade so, dass die Mündung FG des an jenem Stäbchen befestigten gläsernen Gefäßes FGH sich über dem Quecksilber 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+{"basename":"brandes_naturlehre01_1830","par_idx":2385,"date":1830,"orig":"Am beruͤhmteſten unter ſeinen Verſuchen iſt der mit den guerikſchen Halbkugeln geworden.","norm":"Am berühmtesten unter seinen Versuchen ist der mit den guerikschen Halbkugeln geworden.","orig_tok":["Am","beruͤhmteſten","unter","ſeinen","Verſuchen","iſt","der","mit","den","guerikſchen","Halbkugeln","geworden","."],"norm_tok":["Am","berühmtesten","unter","seinen","Versuchen","ist","der","mit","den","guerikschen","Halbkugeln","geworden","."],"orig_spans":[[0,2],[3,16],[17,22],[23,29],[30,39],[40,43],[44,47],[48,51],[52,55],[56,67],[68,78],[79,87],[87,88]],"norm_spans":[[0,2],[3,15],[16,21],[22,28],[29,38],[39,42],[43,46],[47,50],[51,54],[55,66],[67,77],[78,86],[86,87]],"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":5.65910005569458} 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+{"basename":"brandes_naturlehre01_1830","par_idx":2387,"date":1830,"orig":"An beiden waren Ringe zum Anſpannen von Pferden angebracht, und eine mit einem Hahne verſehene Oeffnung erlaubte, ſie, nachdem ſie an die Luftpumpe geſchraubt waren, luftleer zu machen.","norm":"An beiden waren Ringe zum Anspannen von Pferden angebracht, und eine mit einem Hahne versehene Öffnung erlaubte, sie, nachdem sie an die Luftpumpe geschraubt waren, luftleer zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2394,"date":1830,"orig":"Man hat bei den Dampfmaſchinen von dieſem Drucke der Luft Gebrauch gemacht, um den Kolben zuruͤckzutreiben.","norm":"Man hat bei den Dampfmaschinen von diesem Drucke der Luft Gebrauch gemacht, um den Kolben 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Elaſticitaͤt des unter dem Kolben zugelaſſenen Dampfes der Kolben gehoben worden, ſo hat man unter demſelben einen faſt ganz luftleeren Raum, und wenn man durch Abkuͤhlung dem Dampfe ſeine Elaſticitaͤt raubt, ſo wird der Kolben herabgedruͤckt, weil faſt gar keine elaſtiſche Fluͤſſigkeit im Raume unter dem Kolben dem Drucke der Luft auf denſelben Widerſtand leiſtet.","norm":"Ist nämlich durch die Elastizität des unter dem Kolben zugelassenen Dampfes der Kolben gehoben worden, so hat man unter demselben einen fast ganz luftleeren Raum, und wenn man durch Abkühlung dem Dampfe seine Elastizität raubt, so wird der Kolben herabgedrückt, weil fast gar keine elastische Flüssigkeit im Raume unter dem Kolben dem Drucke der Luft auf denselben Widerstand 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Dämpfe einen hohen Grad erreicht hat; ist aber der äußere Druck geringe, so reicht schon die gewöhnliche Wärme der Atmosphäre hin, um jene Dampfbildung, das wahre Aufkochen, zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2409,"date":1830,"orig":"Der luftleere Raum iſt daher ein Befoͤrderungsmittel des Abdampfens, und wenn man Fluͤſſigkeiten hat, die durch die gewoͤhnliche Kochwaͤrme leiden wuͤrden, ſo iſt es doppelt wichtig, ſie in einem luftleeren Raume bei maͤßiger Waͤrme verdampfen zu laſſen.","norm":"Der luftleere Raum ist daher ein Beförderungsmittel des Abdampfens, und wenn man Flüssigkeiten hat, die durch die gewöhnliche Kochwärme leiden würden, so ist es doppelt wichtig, sie in einem luftleeren Raume bei mäßiger Wärme verdampfen zu lassen.","orig_tok":["Der","luftleere","Raum","iſt","daher","ein","Befoͤrderungsmittel","des","Abdampfens",",","und","wenn","man","Fluͤſſigkeiten","hat",",","die","durch","die","gewoͤhnliche","Kochwaͤrme","leiden","wuͤrden",",","ſo","iſt","es","doppelt","wichtig",",","ſie","in","einem","luftleeren","Raume","bei","maͤßiger","Waͤrme","verdampfen","zu","laſſen","."],"norm_tok":["Der","luftleere","Raum","ist","daher","ein","Beförderungsmittel","des","Abdampfens",",","und","wenn","man","Flüssigkeiten","hat",",","die","durch","die","gewöhnliche","Kochwärme","leiden","würden",",","so","ist","es","doppelt","wichtig",",","sie","in","einem","luftleeren","Raume","bei","mäßiger","Wärme","verdampfen","zu","lassen","."],"orig_spans":[[0,3],[4,13],[14,18],[19,22],[23,28],[29,32],[33,52],[53,56],[57,67],[67,68],[69,72],[73,77],[78,81],[82,96],[97,100],[100,101],[102,105],[106,111],[112,115],[116,128],[129,139],[140,146],[147,154],[154,155],[156,158],[159,162],[163,165],[166,173],[174,181],[181,182],[183,186],[187,189],[190,195],[196,206],[207,212],[213,216],[217,225],[226,232],[233,243],[244,246],[247,253],[253,254]],"norm_spans":[[0,3],[4,13],[14,18],[19,22],[23,28],[29,32],[33,51],[52,55],[56,66],[66,67],[68,71],[72,76],[77,80],[81,94],[95,98],[98,99],[100,103],[104,109],[110,113],[114,125],[126,135],[136,142],[143,149],[149,150],[151,153],[154,157],[158,160],[161,168],[169,176],[176,177],[178,181],[182,184],[185,190],[191,201],[202,207],[208,211],[212,219],[220,225],[226,236],[237,239],[240,246],[246,247]],"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":3.769999980926513} +{"basename":"brandes_naturlehre01_1830","par_idx":2410,"date":1830,"orig":"Man hat dabei nicht einmal immer die Luftpumpe noͤthig; ſondern wenn man (Fig. 142.) die abzudampfende Fluͤſſigkeit in das Gefaͤß AB gethan hat, welches mit einem zweiten Gefaͤße C in Verbindung ſteht, ſo bringt man nur an die Roͤhre D eine Zeit lang ein Gefaͤß mit kochendem Waſſer an, damit der ganze Raum DEFG ſich mit heißen Daͤmpfen fuͤlle; dieſe treiben durch einen bei I geoͤffneten Hahn die Luft aus, deren Stelle ſie einnehmen.","norm":"Man hat dabei nicht einmal immer die Luftpumpe nötig; sondern wenn man (Fig. 142.) die abzudampfende Flüssigkeit in das Gefäß AB getan hat, welches mit einem zweiten Gefäße C in Verbindung steht, so bringt man nur an die Röhre D eine Zeit lang ein Gefäß mit kochendem Wasser an, damit der ganze Raum DEFG sich mit heißen Dämpfen fülle; diese treiben durch einen bei I geöffneten Hahn die Luft aus, deren Stelle sie 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+{"basename":"brandes_naturlehre01_1830","par_idx":2411,"date":1830,"orig":"Verſchließt man nun, nachdem die Daͤmpfe recht heiß einige Zeit durchgeſtrichen ſind, die Haͤhne H und I, ſo ſchlaͤgt der erkaltende Dampf ſich bald nieder und laͤßt einen luftleeren Raum zuruͤck, und damit nun die in dieſem luftleeren Raume erzeugten Daͤmpfe ſich in dem Gefaͤße C condenſiren, ſtellt man dieſes in Eis, indem dadurch in G der Dampf zu tropfbarer Fluͤſſigkeit wird, und immer neue Dampf- Erzeugung in E erfolgt.","norm":"Verschließt man nun, nachdem die Dämpfe recht heiß einige Zeit durchgestrichen sind, die Hähne H und I, so schlägt der erkaltende Dampf sich bald nieder und lässt einen luftleeren Raum zurück, und damit nun die in diesem luftleeren Raume erzeugten Dämpfe sich in dem Gefäße C kondensieren, stellt man dieses in Eis, indem dadurch in G der Dampf zu tropfbarer Flüssigkeit wird, und immer neue Dampf-Erzeugung in E 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+{"basename":"brandes_naturlehre01_1830","par_idx":2412,"date":1830,"orig":"Bei der Zuckerſiederei von Howard und Hogſon iſt eine ſolche erleichterte Dampf-Erzeugung angebracht, indem dort durch eine Luftpumpe der Raum uͤber dem Zucker ſo ausgepumpt wird, daß der Zucker bei 30° R. kocht, alſo nie einer zu großen Hitze ausgeſetzt iſt.","norm":"Bei der Zuckersiederei von Howard und Hogson ist eine solche erleichterte Dampferzeugung angebracht, indem dort durch eine Luftpumpe der Raum über dem Zucker so ausgepumpt wird, dass der Zucker bei 30 ° R. kocht, also nie einer zu großen Hitze ausgesetzt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2430,"date":1830,"orig":"Wenn wir in der Luft an einer gleicharmigen Waage Gold an dem einen Arme und einen ſehr leichten Koͤrper am andern Arme ins Gleichgewicht bringen, dann aber beide Koͤrper ins Waſſer tauchen, ſo zeigt, wie Sie wiſſen, das Gold ein großes Uebergewicht; und ebenſo, wenn gleich in geringerm Maaße, wuͤrde Gold und Kork im luftleeren Raume ins Gleichgewicht gebracht, nicht mehr im Gleichgewichte bleiben, wenn man die Waage mit dieſen Koͤrpern in einen luftvollen Raum braͤchte.","norm":"Wenn wir in der Luft an einer gleicharmen Waage Gold an dem einen Arme und einen sehr leichten Körper am anderen Arme ins Gleichgewicht bringen, dann aber beide Körper ins Wasser tauchen, so zeigt, wie Sie wissen, das Gold ein großes Übergewicht; und ebenso, wenn gleich in geringerem Maße, würde Gold und Kork im luftleeren Raume ins Gleichgewicht gebracht, nicht mehr im Gleichgewichte bleiben, wenn man die Waage mit diesen Körpern in 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+{"basename":"brandes_naturlehre01_1830","par_idx":2432,"date":1830,"orig":"Man uͤberzeugt ſich hievon mit Huͤlfe der Luftpumpe, wenn man eine Waage, an welcher eine große aber ſehr leichte hohle Kugel einem ſchweren Koͤrper, Blei zum Beiſpiel, gegenuͤberhaͤngt, unter den Recipienten der Luftpumpe bringt; fand in der Luft das Gleichgewicht ſtatt, ſo ſieht man im luftleeren Raume den groͤßern Koͤrper ſinken, weil vorhin die Luft auf ihn mehr tragende Kraft ausuͤbte.","norm":"Man überzeugt sich hiervon mit Hilfe der Luftpumpe, wenn man eine Waage, an welcher eine große aber sehr leichte hohle Kugel einem schweren Körper, Blei zum Beispiel, Gegenüberhängte, unter den Rezipienten der Luftpumpe bringt; fand in der Luft das Gleichgewicht statt, so sieht man im luftleeren Raume den größeren Körper sinken, weil vorhin die Luft auf ihn mehr tragende Kraft 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+{"basename":"brandes_naturlehre01_1830","par_idx":2437,"date":1830,"orig":"Aber da Barometer und Thermometer uns uͤber dieſe Aenderungen vollſtaͤndig unterrichten, diejenigen Unterſchiede aber, die in der Schwere der Luft durch Feuchtigkeit und aͤhnliche Umſtaͤnde hervorgehen, unbedeutend ſind, ſo hat man dieſes Manometer nur ſelten beobachtet.","norm":"Aber da Barometer und Thermometer uns über diese Änderungen vollständig unterrichten, diejenigen Unterschiede aber, die in der Schwere der Luft durch Feuchtigkeit und ähnliche Umstände hervorgehen, unbedeutend sind, so hat man dieses Manometer nur selten 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+{"basename":"brandes_naturlehre01_1830","par_idx":2454,"date":1830,"orig":"Wie ſtark, ſelbſt bei engen Roͤhren die Glaswaͤnde ſein muͤſſen, damit das Gefaͤß nicht zerriſſen werde, habe ich bei einer andern Gelegenheit erwaͤhnt; wollte man mit gleicher Sicherheit in einem Cylinder von 6 Zoll Durchmeſſer Verſuche anſtellen, ſo muͤßten die Waͤnde uͤber 3 Zoll dick ſein, und da nach Faraday's Bemerkung das mit verdichteter Luft gefuͤllte Gefaͤß oft bei den leichteſten Stoͤßen ſpringt, wenn es auch waͤhrend voͤlliger Ruhe Widerſtand genug leiſtete, ſo wuͤrde man kaum, ſelbſt bei ſo großer Dicke der Waͤnde, es wagen, ein Glasgefaͤß von einiger Groͤße zu 100fachen und mehrfachen Verdichtungen zu gebrauchen.","norm":"Wie stark, selbst bei engen Röhren die Glaswände sein müssen, damit das Gefäß nicht zerrissen werde, habe ich bei einer anderen Gelegenheit erwähnt; wollte man mit gleicher Sicherheit in einem Zylinder von 6 Zoll Durchmesser Versuche anstellen, so müssten die Wände über 3 Zoll dick sein, und danach Faradays Bemerkung das mit verdichteter Luft gefüllte Gefäß oft bei den leichtesten Stößen springt, wenn es auch während völliger Ruhe Widerstand genug leistete, so würde man kaum, selbst bei so großer Dicke der Wände, es wagen, ein Glasgefäß von einiger Größe zu 100fachen und mehrfachen Verdichtungen zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2457,"date":1830,"orig":"Haͤtte naͤmlich der Kolben einen Querſchnitt von 1 Quadratzoll, ſo muͤßte man bei 2000maliger Verdichtung einem Drucke von 31000 Pfunden Widerſtand leiſten, und dieſen bei weiterm Hineindraͤngen des Kolbens uͤberwinden; hat hingegen, wie Perkins angiebt, der Kolben nur [Formel] Zoll Durchmeſſer, alſo ungefehr [Formel] Quadratzoll Flaͤche, ſo iſt der Druck auf den Kolben doch nur ungefehr 2400 Pfund, alſo wenn man einen die Kraft zwanzigfach verſtaͤrkenden Hebel anbringt, ſind 120 Pfund Kraft hinreichend, um die Compreſſion zu bewirken und zu erhalten.","norm":"Hätte nämlich der Kolben einen Querschnitt von 1 Quadratzoll, so müsste man bei 2000-maliger Verdichtung einem Drucke von 31000 Pfunden Widerstand leisten, und diesen bei weitem Hineindrängen des Kolbens überwinden; hat hingegen, wie Perkins angibt, der Kolben nur [Formel] Zoll Durchmesser, also ungefähr [Formel] Quadratzoll Fläche, so ist der Druck auf den Kolben doch nur ungefähr 2400 Pfund, also wenn man einen die Kraft zwanzigfach verstärkenden Hebel anbringt, sind 120 Pfund Kraft hinreichend, um die Kompression zu bewirken und zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2458,"date":1830,"orig":"Wenn man die Verdichtung auf einen hohen Grad zu treiben gedenkt, ſo bedient man ſich, um der Drehung des Hahnes uͤberhoben zu ſein, lieber einer Pumpe mit ſtarken Ventilen, wo naͤmlich (Fig. 143.) von innen her eine Metallkugel A vermittelſt einer Feder B gegen eine kugelfoͤrmige Hoͤhlung CD feſt angedruͤckt wird.","norm":"Wenn man die Verdichtung auf einen hohen Grad zu treiben gedenkt, so bedient man sich, um der Drehung des Hahnes überhoben zu sein, lieber einer Pumpe mit starken Ventilen, wo nämlich (Fig. 143.) von innen her eine Metallkugel A vermittels einer Feder B gegen eine kugelförmige Höhlung CD fest angedrückt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2459,"date":1830,"orig":"Der Cylinder, in welchem der Kolben hinabgeht, hat dann da, wo der Kolben ſeine hoͤchſte Stellung erreicht, bei E, eine Oeffnung, damit, indem der Kolben bei dieſer vorbei geht, der Cylinder ſich mit Luft fuͤlle, welche beim Hinabgehen des Kolbens immer mehr zuſammengepreßt wird, und endlich Druck genug ausuͤbt, um die Feder, welche die Kugel herandruͤckt, zuruͤck zu draͤngen und die Luft in das zu Verdichtung der Luft beſtimmte Gefaͤß FG hinein zu treiben.","norm":"Der Zylinder, in welchem der Kolben hinabgeht, hat dann da, wo der Kolben seine höchste Stellung erreicht, bei E, eine Öffnung, damit, indem der Kolben bei dieser vorbeigeht, der Zylinder sich mit Luft fülle, welche beim Hinabgehen des Kolbens immer mehr zusammengepresst wird, und endlich Druck genug ausübt, um die Feder, welche die Kugel herandrückt, zurückzudrängen und die Luft in das zu Verdichtung der Luft bestimmte Gefäß FG 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+{"basename":"brandes_naturlehre01_1830","par_idx":2474,"date":1830,"orig":"Der Cylinder war in zwei Stuͤcke zerriſſen, und ſeine Bruchflaͤche betrug 6½ Quadratzoll; da nun ein ſolider Cylinder von 1 Quadratzoll aͤhnlichen Eiſens erſt von 63000 Pfunden zerriſſen wird, ſo mußte die Gewalt des Pulvers 410000 Pfund betragen haben.","norm":"Der Zylinder war in zwei Stücke zerrissen, und seine Bruchfläche betrug 61/2 Quadratzoll; da nun ein solider Zylinder von 1 Quadratzoll ähnlichen Eisens erst von 63000 Pfunden zerrissen wird, so musste die Gewalt des Pulvers 410000 Pfund betragen haben.","orig_tok":["Der","Cylinder","war","in","zwei","Stuͤcke","zerriſſen",",","und","ſeine","Bruchflaͤche","betrug","6½","Quadratzoll",";","da","nun","ein","ſolider","Cylinder","von","1","Quadratzoll","aͤhnlichen","Eiſens","erſt","von","63000","Pfunden","zerriſſen","wird",",","ſo","mußte","die","Gewalt","des","Pulvers","410000","Pfund","betragen","haben","."],"norm_tok":["Der","Zylinder","war","in","zwei","Stücke","zerrissen",",","und","seine","Bruchfläche","betrug","61","/","2","Quadratzoll",";","da","nun","ein","solider","Zylinder","von","1","Quadratzoll","ähnlichen","Eisens","erst","von","63000","Pfunden","zerrissen","wird",",","so","musste","die","Gewalt","des","Pulvers","410000","Pfund","betragen","haben","."],"orig_spans":[[0,3],[4,12],[13,16],[17,19],[20,24],[25,32],[33,42],[42,43],[44,47],[48,53],[54,66],[67,73],[74,76],[77,88],[88,89],[90,92],[93,96],[97,100],[101,108],[109,117],[118,121],[122,123],[124,135],[136,146],[147,153],[154,158],[159,162],[163,168],[169,176],[177,186],[187,191],[191,192],[193,195],[196,201],[202,205],[206,212],[213,216],[217,224],[225,231],[232,237],[238,246],[247,252],[252,253]],"norm_spans":[[0,3],[4,12],[13,16],[17,19],[20,24],[25,31],[32,41],[41,42],[43,46],[47,52],[53,64],[65,71],[72,74],[74,75],[75,76],[77,88],[88,89],[90,92],[93,96],[97,100],[101,108],[109,117],[118,121],[122,123],[124,135],[136,145],[146,152],[153,157],[158,161],[162,167],[168,175],[176,185],[186,190],[190,191],[192,194],[195,201],[202,205],[206,212],[213,216],[217,224],[225,231],[232,237],[238,246],[247,252],[252,253]],"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],[null,13],[null,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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.5903000831604} +{"basename":"brandes_naturlehre01_1830","par_idx":2475,"date":1830,"orig":"Die fernern Verſuche wurden, um die genaue Druckkraft der entwickelten elaſtiſchen Fluͤſſigkeiten zu meſſen, ſo angeſtellt, daß der Lauf, in welchem ſich das Pulver befand, oben durch ein aufliegendes ſehr ſchweres Gewicht geſchloſſen, und bei wiederholten Verſuchen dieſes Gewicht ſo vermindert wurde, daß die Entzuͤndung des Pulvers es grade zu heben vermochte.","norm":"Die ferneren Versuche wurden, um die genaue Druckkraft der entwickelten elastischen Flüssigkeiten zu messen, so angestellt, dass der Lauf, in welchem sich das Pulver befand, oben durch ein aufliegendes sehr schweres Gewicht geschlossen, und bei wiederholten Versuchen dieses Gewicht so vermindert wurde, dass die Entzündung des Pulvers es gerade zu heben 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+{"basename":"brandes_naturlehre01_1830","par_idx":2476,"date":1830,"orig":"Die Muͤndung des kleinen Laufes betrug bei dieſen Verſuchen [Formel] Quadratzoll und der Druck der Luft in ihrer natuͤrlichen Dichtigkeit konnte alſo nur ¾ Pfund auf dieſe Flaͤche betragen; und dennoch wurde mit einer Ladung von 18 Gran eine auf der Muͤndung ruhende Laſt von mehr als 8000 Pfunden gehoben, ſo daß die im Innern entwickelten elaſtiſchen Fluͤſſigkeiten ungefehr die 11000 fache Kraft der Atmoſphaͤre ausuͤbten, ja einige Verſuche gaben dieſe Kraft ſogar groͤßer als den 50000 fachen Druck der Atmoſphaͤre an . Hieraus erklaͤren ſich denn auch hinreichend die ungeheuern Zerſtoͤrungen, welche eine groͤßere Pulvermaſſe beim Entzuͤnden hervorbringt.","norm":"Die Mündung des kleinen Laufes betrug bei diesen Versuchen [Formel] Quadratzoll und der Druck der Luft in ihrer natürlichen Dichtigkeit konnte also nur ¾ Pfund auf diese Fläche betragen; und dennoch wurde mit einer Ladung von 18 Gran eine auf der Mündung ruhende Last von mehr als 8000 Pfunden gehoben, so dass die im Inneren entwickelten elastischen Flüssigkeiten ungefähr die 11000-fache Kraft der Atmosphäre ausübten, ja einige Versuche gaben diese Kraft sogar größer als den 50000-fachen Druck der Atmosphäre an . Hieraus erklären sich denn auch hinreichend die ungeheuren Zerstörungen, welche eine größere Pulvermasse beim Entzünden 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+{"basename":"brandes_naturlehre01_1830","par_idx":2477,"date":1830,"orig":"Das Entzuͤnden von ungefehr 60 Centner Pulver in einem Pulverthurme in Danzig hatte bis auf ¾ Stunden weit eine merkliche Wirkung, ein Erſchuͤttern der Gegenſtaͤnde gezeigt, auf weiter als eine halbe Stunde wurden die im Thurme befindlich geweſenen Kugeln, Kartaͤtſchen und Steinſtuͤcke herumgeworfen, und vom Thurme ſelbſt fand man ſogar die Fundamente aus der Erde gewuͤhlt .","norm":"Das Entzünden von ungefähr 60 Zentner Pulver in einem Pulverturme in Danzig hatte bis auf ¾ Stunden weit eine merkliche Wirkung, ein Erschüttern der Gegenstände gezeigt, auf weiter als eine halbe Stunde wurden die im Turme befindlich gewesenen Kugeln, Kartätschen und Steinstücke herumgeworfen, und vom Turme selbst fand man sogar die Fundamente aus der Erde 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+{"basename":"brandes_naturlehre01_1830","par_idx":2482,"date":1830,"orig":"Ihr Zweck iſt ein Ausſtroͤmen von Luft zu bewirken, und es muß daher Luft an einem Orte geſchoͤpft und dann durch einige Verdichtung genoͤthiget werden, durch die dazu beſtimmte Roͤhre auszuſtroͤmen.","norm":"Ihr Zweck ist ein Ausströmen von Luft zu bewirken, und es muss daher Luft an einem Orte geschöpft und dann durch einige Verdichtung genötigt werden, durch die dazu bestimmte Röhre 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+{"basename":"brandes_naturlehre01_1830","par_idx":2483,"date":1830,"orig":"Bei dem gewoͤhnlichen Blaſebalge geſchieht dies dadurch, daß eine Seiten-Oeffnung die Luft aufnimmt, ſich dann durch eine Klappe ſchließt, und beim Zuſammendruͤcken der Luft den Ausgang nur durch die dem Feuer zugewandte Roͤhre geſtattet.","norm":"Bei dem gewöhnlichen Blasebalge geschieht dies dadurch, dass eine Seitenöffnung die Luft aufnimmt, sich dann durch eine Klappe schließt, und beim Zusammendrücken der Luft den Ausgang nur durch die dem Feuer zugewandte Röhre 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Ann. XXVIII. 392.) ſcheint die Luft wirklich aus den Geblaͤſen mit 180 bis 260 Fuß Geſchwindigkeit auszuſtroͤmen.","norm":"Nach Stünkels Versuchen (Gilb. Ann. 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+{"basename":"brandes_naturlehre01_1830","par_idx":2498,"date":1830,"orig":"Die Luftpumpe wird von einer Dampfmaſchine getrieben und dadurch die Luft im Windgewoͤlbe ſo verdichtet, daß ihre Elaſticitaͤt ungefehr 4 bis 6 Zoll groͤßer als die der natuͤrlichen Luft iſt.","norm":"Die Luftpumpe wird von einer Dampfmaschine getrieben und dadurch die Luft im Windgewölbe so verdichtet, dass ihre Elastizität ungefähr 4 bis 6 Zoll größer als die der natürlichen Luft 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+{"basename":"brandes_naturlehre01_1830","par_idx":2499,"date":1830,"orig":"Selbſt dieſe maͤßige Verdichtung aber reicht ſchon hin, um, wie Roebuck erzaͤhlt, den Perſonen, die ſich eines Verſuches wegen in das Windgewoͤlbe begaben, die unangenehme Empfindung, als ob man die Ohren mit dem Finger zudruͤcke, zu verurſachen.","norm":"Selbst diese mäßige Verdichtung aber reicht schon hin, um, wie Roebuck erzählt, den Personen, die sich eines Versuches wegen in das Windgewölbe begaben, die unangenehme Empfindung, als ob man die Ohren mit dem Finger zudrücke, zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2500,"date":1830,"orig":"Wenn man Geblaͤſe zu beſchraͤnkteren Zwecken gebraucht, ſo kann man einen mit dem Rande in Waſſer getauchten Gasbehaͤlter AB (Fig. 141.) anwenden, in welchem ſich das eine Ende der Roͤhre CD endigt, welche am andern Ende den Luftſtrom hergeben ſoll.","norm":"Wenn man Gebläse zu beschränkteren Zwecken gebraucht, so kann man einen mit dem Rande in Wasser getauchten Gasbehälter AB (Fig. 141.) anwenden, in welchem sich das eine Ende der Röhre CD endigt, welche am anderen Ende den Luftstrom hergeben 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+{"basename":"brandes_naturlehre01_1830","par_idx":2505,"date":1830,"orig":"Laͤßt man die Luft durch eine freiſtehende Roͤhre ausfließen, und bringt dieſer gegenuͤber eine bewegliche duͤnne Platte an, ſo wird dieſe Platte fortgeſtoßen, wie wir es von der Gewalt des Luftſtroms erwarten; iſt aber die Oeffnung, wie A (Fig. 144.) in einer breitern Wand des Gefaͤßes und liegt auf ihr eine Platte FG von betraͤchtlich groͤßerem Durchmeſſer, leicht genug, um von dem Luftſtrome fortgeſtoßen zu werden, ſo hebt dieſe ſich zwar, um die Luft auszulaſſen, ſie entfernt ſich aber nicht von der Oeffnung, ſondern ſcheint durch den zwiſchen DE und FG nach allen Seiten, wie durch eine enge Spalte, hervordringenden Luftſtrom angezogen zu werden.","norm":"Lässt man die Luft durch eine freistehende Röhre ausfließen, und bringt dieser gegenüber eine bewegliche dünne Platte an, so wird diese Platte fortgestoßen, wie wir es von der Gewalt des Luftstroms erwarten; ist aber die Öffnung, wie A (Fig. 144.) in einer 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+{"basename":"brandes_naturlehre01_1830","par_idx":2508,"date":1830,"orig":"Die ganze Erſcheinung wird etwas verſtaͤndlicher, wenn man ſie mit einer andern in Verbindung ſetzt, die man ſchon laͤngſt bei dem Ausfluſſe des Waſſers aus Oeffnungen mit Anſatzroͤhren bemerkt hat, die ſich nach außen erweitern.","norm":"Die ganze Erscheinung wird etwas verständlicher, wenn man sie mit einer anderen in Verbindung setzt, die man schon längst bei dem Ausflusse des Wassers aus Öffnungen mit Ansatzröhren bemerkt hat, die sich nach außen erweitern.","orig_tok":["Die","ganze","Erſcheinung","wird","etwas","verſtaͤndlicher",",","wenn","man","ſie","mit","einer","andern","in","Verbindung","ſetzt",",","die","man","ſchon","laͤngſt","bei","dem","Ausfluſſe","des","Waſſers","aus","Oeffnungen","mit","Anſatzroͤhren","bemerkt","hat",",","die","ſich","nach","außen","erweitern","."],"norm_tok":["Die","ganze","Erscheinung","wird","etwas","verständlicher",",","wenn","man","sie","mit","einer","anderen","in","Verbindung","setzt",",","die","man","schon","längst","bei","dem","Ausflusse","des","Wassers","aus","Öffnungen","mit","Ansatzröhren","bemerkt","hat",",","die","sich","nach","außen","erweitern","."],"orig_spans":[[0,3],[4,9],[10,21],[22,26],[27,32],[33,48],[48,49],[50,54],[55,58],[59,62],[63,66],[67,72],[73,79],[80,82],[83,93],[94,99],[99,100],[101,104],[105,108],[109,114],[115,122],[123,126],[127,130],[131,140],[141,144],[145,152],[153,156],[157,167],[168,171],[172,185],[186,193],[194,197],[197,198],[199,202],[203,207],[208,212],[213,218],[219,228],[228,229]],"norm_spans":[[0,3],[4,9],[10,21],[22,26],[27,32],[33,47],[47,48],[49,53],[54,57],[58,61],[62,65],[66,71],[72,79],[80,82],[83,93],[94,99],[99,100],[101,104],[105,108],[109,114],[115,121],[122,125],[126,129],[130,139],[140,143],[144,151],[152,155],[156,165],[166,169],[170,182],[183,190],[191,194],[194,195],[196,199],[200,204],[205,209],[210,215],[216,225],[225,226]],"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":4.19950008392334} +{"basename":"brandes_naturlehre01_1830","par_idx":2509,"date":1830,"orig":"Sie erinnern ſich, daß bei dem Ausfluſſe des Waſſers aus Oeffnungen in einer duͤnnen Wand die Waſſermenge wegen der Zuſammenziehung des Waſſerſtrahles weniger betrug, als ſie nach Maaßgabe der Geſchwindigkeit betragen ſollte, daß aber dieſe Waſſermenge ſehr geſteigert werden konnte, wenn man ein ſich nach außen erweiterndes Roͤhrchen, wie AB, an die Oeffnung anſetzte (Fig. 145.).","norm":"Sie erinnern sich, dass bei dem Ausflusse des Wassers aus Öffnungen in einer dünnen Wand die Wassermenge wegen der Zusammenziehung des Wasserstrahles weniger betrug, als sie nach Maßgabe der Geschwindigkeit betragen sollte, dass aber diese Wassermenge sehr gesteigert werden konnte, wenn man ein sich nach außen erweiterndes Röhrchen, wie AB, an die Öffnung ansetzte (Fig. 145.).","orig_tok":["Sie","erinnern","ſich",",","daß","bei","dem","Ausfluſſe","des","Waſſers","aus","Oeffnungen","in","einer","duͤnnen","Wand","die","Waſſermenge","wegen","der","Zuſammenziehung","des","Waſſerſtrahles","weniger","betrug",",","als","ſie","nach","Maaßgabe","der","Geſchwindigkeit","betragen","ſollte",",","daß","aber","dieſe","Waſſermenge","ſehr","geſteigert","werden","konnte",",","wenn","man","ein","ſich","nach","außen","erweiterndes","Roͤhrchen",",","wie","AB",",","an","die","Oeffnung","anſetzte","(","Fig.","145.",")","."],"norm_tok":["Sie","erinnern","sich",",","dass","bei","dem","Ausflusse","des","Wassers","aus","Öffnungen","in","einer","dünnen","Wand","die","Wassermenge","wegen","der","Zusammenziehung","des","Wasserstrahles","weniger","betrug",",","als","sie","nach","Maßgabe","der","Geschwindigkeit","betragen","sollte",",","dass","aber","diese","Wassermenge","sehr","gesteigert","werden","konnte",",","wenn","man","ein","sich","nach","außen","erweiterndes","Röhrchen",",","wie","AB",",","an","die","Öffnung","ansetzte","(","Fig",".","145.",")","."],"orig_spans":[[0,3],[4,12],[13,17],[17,18],[19,22],[23,26],[27,30],[31,40],[41,44],[45,52],[53,56],[57,67],[68,70],[71,76],[77,84],[85,89],[90,93],[94,105],[106,111],[112,115],[116,131],[132,135],[136,150],[151,158],[159,165],[165,166],[167,170],[171,174],[175,179],[180,188],[189,192],[193,208],[209,217],[218,224],[224,225],[226,229],[230,234],[235,240],[241,252],[253,257],[258,268],[269,275],[276,282],[282,283],[284,288],[289,292],[293,296],[297,301],[302,306],[307,312],[313,325],[326,335],[335,336],[337,340],[341,343],[343,344],[345,347],[348,351],[352,360],[361,369],[370,371],[371,375],[376,380],[380,381],[381,382]],"norm_spans":[[0,3],[4,12],[13,17],[17,18],[19,23],[24,27],[28,31],[32,41],[42,45],[46,53],[54,57],[58,67],[68,70],[71,76],[77,83],[84,88],[89,92],[93,104],[105,110],[111,114],[115,130],[131,134],[135,149],[150,157],[158,164],[164,165],[166,169],[170,173],[174,178],[179,186],[187,190],[191,206],[207,215],[216,222],[222,223],[224,228],[229,233],[234,239],[240,251],[252,256],[257,267],[268,274],[275,281],[281,282],[283,287],[288,291],[292,295],[296,300],[301,305],[306,311],[312,324],[325,333],[333,334],[335,338],[339,341],[341,342],[343,345],[346,349],[350,357],[358,366],[367,368],[368,371],[371,372],[373,377],[377,378],[378,379]],"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],[61,62],[62,63],[63,64],[64,65]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.954799890518188} 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+{"basename":"brandes_naturlehre01_1830","par_idx":2523,"date":1830,"orig":"Ich brauche nicht bei der Berechnung, wie ſchwer ſelbſt die duͤnneſte Metallſchale ausfallen wuͤrde, zu verweilen, und es erhellt leicht, daß nur eine unausfuͤhrbar große Kugel aus ſehr duͤnnem Bleche, voͤllig luftleer gemacht, allenfalls dem Zwecke entſprechen koͤnnte.","norm":"Ich brauche nicht bei der Berechnung, wie schwer selbst die dünnste Metallschale ausfallen würde, zu verweilen, und es erhellt leicht, dass nur eine unausführbar große Kugel aus sehr dünnem Bleche, völlig luftleer gemacht, allenfalls dem Zwecke entsprechen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2524,"date":1830,"orig":"Erſt Montgolfier faßte vor nun bald 50 Jahren den Gedanken auf, daß ja Rauch in der Luft aufſteige, oder wie ich es lieber, den Anſichten der Erfinder vorgreifend, ausdruͤcken will, daß warme Luft bei ſehr vermindertem ſpecifiſchen Gewichte ebenſo viel Elaſticitaͤt, als kaͤltere, betraͤchtlich ſchwerere Luft beſitze, und daß daher warme Luft in leichte Haͤute oder andre Huͤllen eingeſchloſſen, dem Zuſammendruͤcken durch die aͤußere Luft widerſtehen, und doch zum Aufſteigen wohl leicht genug ſein koͤnne.","norm":"Erst Montgolfier fasste vor nun bald 50 Jahren den Gedanken auf, dass ja Rauch in der Luft aufsteige, oder wie ich es lieber, den Ansichten der Erfinder vorgreifend, ausdrücken will, dass warme Luft bei sehr vermindertem spezifischen Gewichte ebenso viel Elastizität, als kältere, beträchtlich schwerere Luft besitze, und dass daher warme Luft in leichte Häute oder andere Hüllen eingeschlossen, dem 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+{"basename":"brandes_naturlehre01_1830","par_idx":2526,"date":1830,"orig":"Aber dieſer unvollkommene Anfang der Aëronautik gab bald Veranlaſſung zu einer beſſern Einrichtung.","norm":"Aber dieser unvollkommene Anfang der Aeronautik gab bald Veranlassung zu einer besseren 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dieſen Luft- Arten zeichnete das brennbare Gas, das Hydrogengas, ſich als eine ſehr leichte Luft-Art, die bei gleicher Elaſticitaͤt wie die natuͤrliche Luft ein ſehr geringes Gewicht hat, aus.","norm":"Die Physiker hatten kürzlich erst die künstlichen Luftarten und die Mittel, sie bequem aufzufangen und näher zu untersuchen, kennen gelernt, und unter diesen Luft-Arten zeichnete das brennbare Gas, das Hydrogengas, sich als eine sehr leichte Luftart, die bei gleicher Elastizität wie die natürliche Luft ein sehr geringes Gewicht hat, 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+{"basename":"brandes_naturlehre01_1830","par_idx":2528,"date":1830,"orig":"Charles in Paris machte daher den Verſuch, dieſe Luft-Art in Ballons von duͤnner Materie einzuſchließen, und brachte ſo diejenigen Luftballons zu Stande, die ſich nachher als die brauchbarſten bewaͤhrt haben.","norm":"Charles in Paris machte daher den Versuch, diese Luftart in Ballons von dünner Materie einzuschließen, und brachte so diejenigen Luftballons zu Stande, die sich nachher als die brauchbarsten bewährt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2529,"date":1830,"orig":"Dieſe Luft-Art iſt, ſelbſt wenn man ſie nicht vollkommen frei von atmoſphaͤriſcher Luft erhalten kann, doch immer nur ¼ oder ⅙ ſo ſchwer als atmoſphaͤriſche Luft, und man erhaͤlt daher, weil ſie in duͤnne Umhuͤllungen eingeſchloſſen werden kann, ſelbſt bei einer ziemlich maͤßigen Groͤße, Steigekraft genug, um ſehr bedeutende Laſten zu heben.","norm":"Diese Luftart ist, selbst wenn man sie nicht vollkommen frei von atmosphärischer Luft erhalten kann, doch immer nur ¼ oder 1 / 6 so schwer als atmosphärische Luft, und man erhält daher, weil sie in dünne Umhüllungen eingeschlossen werden kann, selbst bei einer ziemlich mäßigen Größe, Steigekraft genug, um sehr bedeutende Lasten zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2531,"date":1830,"orig":"So verfertigten Pilatre de Rozier und Montgolfier eine Maſchine von 126 Fuß hoch und 102 Fuß im Durchmeſſer, mit welcher 6 Perſonen ſich in die Luft erhoben.","norm":"So verfertigten Pilatre de Rozier und Montgolfier eine Maschine von 126 Fuß hoch und 102 Fuß im Durchmesser, mit welcher 6 Personen sich in die Luft 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+{"basename":"brandes_naturlehre01_1830","par_idx":2532,"date":1830,"orig":"Ich habe nicht noͤthig, Ihnen das Erſtaunen zu ſchildern, mit welchem alle Menſchen den neuen Anblick eines die Luft Durchſchiffens betrachteten; denn wer ſollte nicht das hoͤchſt uͤberraſchende Schauſpiel, ein Schiffchen mit Menſchen in den anſcheinend leeren Raum hinaufſteigen zu ſehen, mit Erſtaunen anſehen; wen ſollte nicht die unerhoͤrte Kuͤhnheit, ſich uͤber Berge und Wolken in die Luft zu erheben, die Vorſtellung von den Gefahren, denen ſich der Luftſchiffer ausſetzt, zur Bewunderung auffordern, und wie mußte der Gedanke an die erhabenen Empfindungen, die einen tiefer fuͤhlenden Menſchen ergreifen muͤßten, wenn er ſo, alles Irdiſche unter ſich zuruͤcklaſſend, gleichſam den Sternen zueilt, die Gemuͤther der Zuſchauer beſchaͤftigen; wie mußte da jeder, nach der ihm eigenthuͤmlichen Art zu denken und zu empfinden, zur Bewunderung, zur theilnehmenden Beſorgniß, zum freudigen Erſtaunen uͤber die Kraft der 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+{"basename":"brandes_naturlehre01_1830","par_idx":2537,"date":1830,"orig":"Grade waͤrmer ſein, als die umgebende Luft.","norm":"Grade wärmer sein, als die umgebende Luft.","orig_tok":["Grade","waͤrmer","ſein",",","als","die","umgebende","Luft","."],"norm_tok":["Grade","wärmer","sein",",","als","die","umgebende","Luft","."],"orig_spans":[[0,5],[6,13],[14,18],[18,19],[20,23],[24,27],[28,37],[38,42],[42,43]],"norm_spans":[[0,5],[6,12],[13,17],[17,18],[19,22],[23,26],[27,36],[37,41],[41,42]],"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":4.257400035858154} +{"basename":"brandes_naturlehre01_1830","par_idx":2538,"date":1830,"orig":"Bei dieſer Groͤße waͤre es alſo nicht ſchwierig, eine noch viel erheblichere Steigekraft zu erhalten, und obgleich in groͤßern Hoͤhen die wenigere Dichtigkeit der aͤußern Luft die Steigekraft vermindert, ſo liegt doch nicht darin, ſondern in der Gefahr, die ein Feuer zum Erhitzen der Luft allemal mit ſich bringt, der Hauptgrund, warum man in ſpaͤtern Zeiten nicht gern mehr Gebrauch von dieſer Art, den Luftball zum Steigen zu bringen, gemacht hat.","norm":"Bei dieser Größe wäre es also nicht schwierig, eine noch viel erheblichere Steigekraft zu erhalten, und obgleich in größeren Höhen die weniger Dichtigkeit der äußeren Luft die Steigekraft vermindert, so liegt doch nicht darin, sondern in der Gefahr, die ein Feuer zum Erhitzen der Luft allemal mit sich bringt, der Hauptgrund, warum man in späteren Zeiten nicht gern mehr Gebrauch von dieser Art, den Luftball zum Steigen zu bringen, gemacht 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+{"basename":"brandes_naturlehre01_1830","par_idx":2539,"date":1830,"orig":"Bei der zweiten Art von Luftballons macht die Entwickelung einer ſo großen Menge brennbarer Luft zwar eine ſehr bedeutende und viele Zeit koſtende Arbeit, aber man hat dann auch eine ſehr anſehnliche Steigekraft ohne andre Gefahren, als diejenigen ſind, denen man bei jeder Luftſchifffahrt allemal ausgeſetzt iſt.","norm":"Bei der zweiten Art von Luftballons macht die Entwicklung einer so großen Menge brennbarer Luft zwar eine sehr bedeutende und viele Zeit kostende Arbeit, aber man hat dann auch eine sehr ansehnliche Steigekraft ohne andere Gefahren, als diejenigen sind, denen man bei jeder Luftschifffahrt allemal ausgesetzt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2540,"date":1830,"orig":"Man bedient ſich zu dieſen Ballons ſehr leichter Seidenzeuge, die durch Firniß gegen den Verluſt der Luft beinahe voͤllig geſichert ſind.","norm":"Man bedient sich zu diesen Ballons sehr leichter Seidenzeuge, die durch Firnis gegen den Verlust der Luft beinahe völlig gesichert 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+{"basename":"brandes_naturlehre01_1830","par_idx":2541,"date":1830,"orig":"Dieſe brennbare Luft, die man hier nie als ganz ungemiſcht in den Ballon gelangend anſehen kann, laͤßt ſich doch immer als nur ⅙ des Gewichtes der atmoſphaͤriſchen Luft habend anſehen.","norm":"Diese brennbare Luft, die man hier nie als ganz ungemischt in den Ballon gelangend ansehen kann, lässt sich doch immer als nur 1/6 des Gewichtes der atmosphärischen Luft habend ansehen.","orig_tok":["Dieſe","brennbare","Luft",",","die","man","hier","nie","als","ganz","ungemiſcht","in","den","Ballon","gelangend","anſehen","kann",",","laͤßt","ſich","doch","immer","als","nur","⅙","des","Gewichtes","der","atmoſphaͤriſchen","Luft","habend","anſehen","."],"norm_tok":["Diese","brennbare","Luft",",","die","man","hier","nie","als","ganz","ungemischt","in","den","Ballon","gelangend","ansehen","kann",",","lässt","sich","doch","immer","als","nur"," ","1","/","6"," 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+{"basename":"brandes_naturlehre01_1830","par_idx":2542,"date":1830,"orig":"Ein Ballon, deſſen großer Durchmeſſer 30 Fuß, der kleinere 25 Fuß waͤre, wie es bei Garnerin's Ballon der Fall war, haͤtte 10400 Cubicfuß Inhalt und triebe alſo in der untern Luft ungefehr 950 Pfund Luft aus der Stelle; die brennbare Luft, die ihn fuͤllt, wuͤrde etwa 160 Pfund wiegen, die Umhuͤllung des Ballons 70 Pfund, die Seile mit dem Schiffchen 200 Pfund; alſo hat der 950 Pfund betragende, hinaufwaͤrts gerichtete Luftdruck ungefehr 430 Pfund zu tragen, und es kann noch eine bedeutende Belaſtung ſtatt finden.","norm":"Ein Ballon, dessen großer Durchmesser 30 Fuß, der kleinere 25 Fuß wäre, wie es bei Garnerins Ballon der Fall war, hätte 10400 Kubikfuss Inhalt und triebe also in der unteren Luft ungefähr 950 Pfund Luft aus der Stelle; die brennbare Luft, die ihn füllt, würde etwa 160 Pfund wiegen, die Umhüllung des Ballons 70 Pfund, die Seile mit dem Schiffchen 200 Pfund; also hat der 950 Pfund betragende, hinaufwärts gerichtete Luftdruck ungefähr 430 Pfund zu tragen, und es kann noch eine bedeutende Belastung stattfinden.","orig_tok":["Ein","Ballon",",","deſſen","großer","Durchmeſſer","30","Fuß",",","der","kleinere","25","Fuß","waͤre",",","wie","es","bei","Garnerin's","Ballon","der","Fall","war",",","haͤtte","10400","Cubicfuß","Inhalt","und","triebe","alſo","in","der","untern","Luft","ungefehr","950","Pfund","Luft","aus","der","Stelle",";","die","brennbare","Luft",",","die","ihn","fuͤllt",",","wuͤrde","etwa","160","Pfund","wiegen",",","die","Umhuͤllung","des","Ballons","70","Pfund",",","die","Seile","mit","dem","Schiffchen","200","Pfund",";","alſo","hat","der","950","Pfund","betragende",",","hinaufwaͤrts","gerichtete","Luftdruck","ungefehr","430","Pfund","zu","tragen",",","und","es","kann","noch","eine","bedeutende","Belaſtung","ſtatt","finden","."],"norm_tok":["Ein","Ballon",",","dessen","großer","Durchmesser","30","Fuß",",","der","kleinere","25","Fuß","wäre",",","wie","es","bei","Garnerins","Ballon","der","Fall","war",",","hätte","10400","Kubikfuss","Inhalt","und","triebe","also","in","der","unteren","Luft","ungefähr","950","Pfund","Luft","aus","der","Stelle",";","die","brennbare","Luft",",","die","ihn","füllt",",","würde","etwa","160","Pfund","wiegen",",","die","Umhüllung","des","Ballons","70","Pfund",",","die","Seile","mit","dem","Schiffchen","200","Pfund",";","also","hat","der","950","Pfund","betragende",",","hinaufwärts","gerichtete","Luftdruck","ungefähr","430","Pfund","zu","tragen",",","und","es","kann","noch","eine","bedeutende","Belastung","stattfinden","."],"orig_spans":[[0,3],[4,10],[10,11],[12,18],[19,25],[26,37],[38,40],[41,44],[44,45],[46,49],[50,58],[59,61],[62,65],[66,71],[71,72],[73,76],[77,79],[80,83],[84,94],[95,101],[102,105],[106,110],[111,114],[114,115],[116,122],[123,128],[129,137],[138,144],[145,148],[149,155],[156,160],[161,163],[164,167],[168,174],[175,179],[180,188],[189,192],[193,198],[199,203],[204,207],[208,211],[212,218],[218,219],[220,223],[224,233],[234,238],[238,239],[240,243],[244,247],[248,254],[254,255],[256,262],[263,267],[268,271],[272,277],[278,284],[284,285],[286,289],[290,300],[301,304],[305,312],[313,315],[316,321],[321,322],[323,326],[327,332],[333,336],[337,340],[341,351],[352,355],[356,361],[361,362],[363,367],[368,371],[372,375],[376,379],[380,385],[386,396],[396,397],[398,410],[411,421],[422,431],[432,440],[441,444],[445,450],[451,453],[454,460],[460,461],[462,465],[466,468],[469,473],[474,478],[479,483],[484,494],[495,504],[505,510],[511,517],[517,518]],"norm_spans":[[0,3],[4,10],[10,11],[12,18],[19,25],[26,37],[38,40],[41,44],[44,45],[46,49],[50,58],[59,61],[62,65],[66,70],[70,71],[72,75],[76,78],[79,82],[83,92],[93,99],[100,103],[104,108],[109,112],[112,113],[114,119],[120,125],[126,135],[136,142],[143,146],[147,153],[154,158],[159,161],[162,165],[166,173],[174,178],[179,187],[188,191],[192,197],[198,202],[203,206],[207,210],[211,217],[217,218],[219,222],[223,232],[233,237],[237,238],[239,242],[243,246],[247,252],[252,253],[254,259],[260,264],[265,268],[269,274],[275,281],[281,282],[283,286],[287,296],[297,300],[301,308],[309,311],[312,317],[317,318],[319,322],[323,328],[329,332],[333,336],[337,347],[348,351],[352,357],[357,358],[359,363],[364,367],[368,371],[372,375],[376,381],[382,392],[392,393],[394,405],[406,416],[417,426],[427,435],[436,439],[440,445],[446,448],[449,455],[455,456],[457,460],[461,463],[464,468],[469,473],[474,478],[479,489],[490,499],[500,511],[511,512]],"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],[96,95],[97,96]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.275599956512451} +{"basename":"brandes_naturlehre01_1830","par_idx":2543,"date":1830,"orig":"Betruͤge dieſe, etwa indem 2 Menſchen das Schiffchen beſtiegen, 300 Pfund, ſo behielte der Ballon noch 220 Pfund Steigekraft, und koͤnnte mit einer Geſchwindigkeit von 7 oder 8 Fuß in der Secunde zu ſteigen anfangen.","norm":"Betrüge diese, etwa indem 2 Menschen das Schiffchen bestiegen, 300 Pfund, so behielte der Ballon noch 220 Pfund Steigekraft, und könnte mit einer Geschwindigkeit von 7 oder 8 Fuß in der Sekunde zu steigen anfangen.","orig_tok":["Betruͤge","dieſe",",","etwa","indem","2","Menſchen","das","Schiffchen","beſtiegen",",","300","Pfund",",","ſo","behielte","der","Ballon","noch","220","Pfund","Steigekraft",",","und","koͤnnte","mit","einer","Geſchwindigkeit","von","7","oder","8","Fuß","in","der","Secunde","zu","ſteigen","anfangen","."],"norm_tok":["Betrüge","diese",",","etwa","indem","2","Menschen","das","Schiffchen","bestiegen",",","300","Pfund",",","so","behielte","der","Ballon","noch","220","Pfund","Steigekraft",",","und","könnte","mit","einer","Geschwindigkeit","von","7","oder","8","Fuß","in","der","Sekunde","zu","steigen","anfangen","."],"orig_spans":[[0,8],[9,14],[14,15],[16,20],[21,26],[27,28],[29,37],[38,41],[42,52],[53,62],[62,63],[64,67],[68,73],[73,74],[75,77],[78,86],[87,90],[91,97],[98,102],[103,106],[107,112],[113,124],[124,125],[126,129],[130,137],[138,141],[142,147],[148,163],[164,167],[168,169],[170,174],[175,176],[177,180],[181,183],[184,187],[188,195],[196,198],[199,206],[207,215],[215,216]],"norm_spans":[[0,7],[8,13],[13,14],[15,19],[20,25],[26,27],[28,36],[37,40],[41,51],[52,61],[61,62],[63,66],[67,72],[72,73],[74,76],[77,85],[86,89],[90,96],[97,101],[102,105],[106,111],[112,123],[123,124],[125,128],[129,135],[136,139],[140,145],[146,161],[162,165],[166,167],[168,172],[173,174],[175,178],[179,181],[182,185],[186,193],[194,196],[197,204],[205,213],[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":4.552000045776367} +{"basename":"brandes_naturlehre01_1830","par_idx":2544,"date":1830,"orig":"Nach Beobachtungen, die man in andern Faͤllen uͤber das Steigen der Luftbaͤlle angeſtellt hat, betrug die Geſchwindigkeit 10 Fuß in der Secunde, ſo daß der Ballon in 7 Minuten 4000 Fuß Hoͤhe erreichte.","norm":"Nach Beobachtungen, die man in anderen Fällen über das Steigen der Luftbälle angestellt hat, betrug die Geschwindigkeit 10 Fuß in der Sekunde, so dass der Ballon in 7 Minuten 4000 Fuß Höhe erreichte.","orig_tok":["Nach","Beobachtungen",",","die","man","in","andern","Faͤllen","uͤber","das","Steigen","der","Luftbaͤlle","angeſtellt","hat",",","betrug","die","Geſchwindigkeit","10","Fuß","in","der","Secunde",",","ſo","daß","der","Ballon","in","7","Minuten","4000","Fuß","Hoͤhe","erreichte","."],"norm_tok":["Nach","Beobachtungen",",","die","man","in","anderen","Fällen","über","das","Steigen","der","Luftbälle","angestellt","hat",",","betrug","die","Geschwindigkeit","10","Fuß","in","der","Sekunde",",","so","dass","der","Ballon","in","7","Minuten","4000","Fuß","Höhe","erreichte","."],"orig_spans":[[0,4],[5,18],[18,19],[20,23],[24,27],[28,30],[31,37],[38,45],[46,51],[52,55],[56,63],[64,67],[68,78],[79,89],[90,93],[93,94],[95,101],[102,105],[106,121],[122,124],[125,128],[129,131],[132,135],[136,143],[143,144],[145,147],[148,151],[152,155],[156,162],[163,165],[166,167],[168,175],[176,180],[181,184],[185,190],[191,200],[200,201]],"norm_spans":[[0,4],[5,18],[18,19],[20,23],[24,27],[28,30],[31,38],[39,45],[46,50],[51,54],[55,62],[63,66],[67,76],[77,87],[88,91],[91,92],[93,99],[100,103],[104,119],[120,122],[123,126],[127,129],[130,133],[134,141],[141,142],[143,145],[146,150],[151,154],[155,161],[162,164],[165,166],[167,174],[175,179],[180,183],[184,188],[189,198],[198,199]],"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":3.678900003433227} +{"basename":"brandes_naturlehre01_1830","par_idx":2545,"date":1830,"orig":"Indem der Ballon hoͤher ſteigt, erreicht er eine duͤnnere, weniger druͤckende Luft; war er alſo ſchon unten vollkommen gefuͤllt, ſo wird die Elaſticitaͤt der innern Luft ihn in groͤßerer Hoͤhe ſtark ausſpannen und zu zerſprengen drohen; der Luftſchiffer muß daher mit Huͤlfe eines am Ballon angebrachten Ventils, das er mit einem Seile regiert, etwas Luft ausſtroͤmen laſſen, und auf dieſe Weiſe erhaͤlt ſich das Verhaͤltniß des Gewichts der innern Luft und der aus der Stelle getriebenen aͤußern ziemlich ungeaͤndert; aber da jene ſowohl als dieſe in groͤßern Hoͤhen duͤnner iſt, ſo nimmt die Steigekraft des Ballons immer mehr ab.","norm":"Indem der Ballon höher steigt, erreicht er eine dünnere, weniger drückende Luft; war er also schon unten vollkommen gefüllt, so wird die Elastizität der inneren Luft ihn in größerer Höhe stark ausspannen und zu zersprengen drohen; der Luftschiffer muss daher mit Hilfe eines am Ballon angebrachten Ventils, das er mit einem Seile regiert, etwas Luft ausströmen lassen, und auf diese Weise erhält sich das Verhältnis des Gewichts der inneren Luft und der aus der Stelle getriebenen äußeren ziemlich ungeändert; aber da jene sowohl als diese in größeren Höhen dünner ist, so nimmt die Steigekraft des Ballons immer mehr 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Geschwindigkeit eine Fallhöhe von 61/2 Fuß gehört; eine solche Luftsäule aber wiegt gegen 200 Pfund, und wenn das ganze Gewicht des Fallschirms und des herabfallenden Menschen nahe an 200 Pfund betrüge, so würde die größte erlangte Geschwindigkeit nur 20 Fuß 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+{"basename":"brandes_naturlehre01_1830","par_idx":2566,"date":1830,"orig":"Um zu ſchaͤtzen, wie ſtark der Stoß ſein moͤchte, mit welchem wir, bei ſo ſchneller Bewegung, auf die Erde auftraͤfen, haben wir nur noͤthig, zu bedenken, daß ein Sprung von 6½ Fuß Hoͤhe uns im luftleeren Raume eine Geſchwindigkeit von 20 Fuß erlangen laͤßt, und daß wir einen ſolchen Sprung ohne großes Bedenken wagen wuͤrden.","norm":"Um zu schätzen, wie stark der Stoß sein möchte, mit welchem wir, bei so schneller Bewegung, auf die Erde aufträfen, haben wir nur nötig, zu bedenken, dass ein Sprung von 61/2 Fuß Höhe uns im luftleeren Raume eine Geschwindigkeit von 20 Fuß erlangen lässt, und dass wir einen solchen Sprung ohne großes Bedenken wagen 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genoͤthigt ſind, ſich von erheblicher Hoͤhe herabzuſtuͤrzen, und man hat daher mit Recht gefragt, wie viel Sicherung beim Herabſtuͤrzen es gewaͤhre, wenn man einen großen und leichten Koͤrper als Fallſchirm benutzt.","norm":"Der Fall ist nicht so sehr selten, wo bei Feuersbrünsten Menschen genötigt sind, sich von erheblicher Höhe herabzustürzen, und man hat daher mit Recht gefragt, wie viel Sicherung beim Herabstürzen es gewähre, wenn man einen großen und leichten Körper als Fallschirm 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+{"basename":"brandes_naturlehre01_1830","par_idx":2587,"date":1830,"orig":"Vom Klange zum bloßen Geraͤuſch findet ein Uebergang ſtatt, und in dem Geraͤuſche kann ein dumpfer Klang erkennbar werden, ohne Zweifel dann, wenn unter den einzelnen Schall-Erregungen einige gleichfoͤrmig dauernd mit andern, ſelbſt in den kleinſten Zeitmomenten ungleichartigen gemiſcht ſind.","norm":"Vom Klange zum bloßen Geräusch findet ein Übergang statt, und in dem Geräusche kann ein dumpfer Klang erkennbar werden, ohne Zweifel dann, wenn unter den einzelnen Schallerregungen einige gleichförmig dauernd mit anderen, selbst in den kleinsten Zeitmomenten ungleichartigen gemischt 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unregelmaͤßiges Geraͤuſch hervorgebracht wird, bemerken wir, daß es durch den Stoß an einen feſten Koͤrper oder durch eine Bewegung eines Koͤrpers in der Luft, wodurch ihr Zitterungen mitgetheilt ſein konnten, oder durch aͤhnliche Umſtaͤnde, bewirkt iſt.","norm":"Wir sehen die Zitterungen der Glocke, wenn sie tönt, wir sehen die Schwingungen der angeschlagenen Saite, und selbst wo ein unregelmäßiges Geräusch hervorgebracht wird, bemerken wir, dass es durch den Stoß an einen festen Körper oder durch eine Bewegung eines Körpers in der Luft, wodurch ihr Zitterungen mitgeteilt sein konnten, oder durch ähnliche Umstände, bewirkt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2594,"date":1830,"orig":"Indem wir nun hier zwei, anſcheinend ſehr ungleichartige Erſcheinungen, Zitterungen naͤmlich, welche mechaniſchen Geſetzen unterworfen ſind, und Toͤne, in denen das Ohr eine angenehme Uebereinſtimmung oder im Gegentheil eine Disharmonie wahrnimmt, beobachten, finden wir uns wohl zuerſt zu der Frage hingezogen, ob Regeln, nach welchen beide Wahrnehmungen ſich in eine beſtimmtere Verbindung bringen laſſen, koͤnnen aufgefunden werden; und da die mechaniſchen Geſetze der Vibrationen ſich in manchen Faͤllen leicht auffinden laſſen, ſo iſt es am natuͤrlichſten mit der Betrachtung derſelben den Anfang zu machen.","norm":"Indem wir nun hier zwei, anscheinend sehr ungleichartige Erscheinungen, Zitterungen nämlich, welche mechanischen Gesetzen unterworfen sind, und Töne, in denen das Ohr eine angenehme Übereinstimmung oder im Gegenteil eine Disharmonie wahrnimmt, beobachten, finden wir uns wohl zuerst zu der Frage hingezogen, ob Regeln, nach welchen beide Wahrnehmungen sich in eine bestimmtere Verbindung bringen lassen, können aufgefunden werden; und da die mechanischen Gesetze der Vibrationen sich in manchen Fällen leicht auffinden lassen, so ist es am natürlichsten mit der Betrachtung derselben den Anfang zu 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nämlich wieder, während jedes Teilchen in einer auf die Richtung der ganzen Saite senkrechten Richtung gegen den Punkt zurückgeht, welchen es vor der Dehnung, vor der Entfernung vom Zustande des Gleichgewichts, einnahm; aber indem die Kraft der Elastizität jedes Teilchen auf diese Weise nötiget, eine gewisse Geschwindigkeit anzunehmen, gelangt dieses in die Stelle, welche es vorhin bei dem natürlichen Zustande ruhend einnahm, mit einer Geschwindigkeit, die es über diesen Punkt hinausführt; jedes Teilchen geht daher an der anderen Seite in eine neue Entfernung von der geraden Linie hinüber, und kehrt, nachdem die Wirkung der Elastizität jene erlangte Geschwindigkeit zerstört hat, ebenso wieder 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+{"basename":"brandes_naturlehre01_1830","par_idx":2601,"date":1830,"orig":"Wenn man die Schwingungen ſo bewirkt, daß ſie immer langſamer erfolgen, ſo wird der Ton tiefer, und endlich dumpf; das Ohr erkennt in dem dumpfen Getoͤne kaum noch einigen Klang, und wenn die Zitterungen noch langſamer auf einander folgen, ſo glaubt man in dem Klirren oder Schwirren faſt ſchon die einzelnen Vibrationen abzaͤhlen zu koͤnnen; endlich erkennt man die Schwingungen als wirklich zaͤhlbar, aber hoͤrt dann durchaus keinen Ton mehr, weil jede einzelne Schwingung das Ohr zu ſchwach ruͤhrt, oder man hoͤrt die Schwingungen nur als ein wiederholtes gleiches Geraͤuſch, weil jetzt das, was in jeder einzelnen Schwingung Ungleichartiges iſt, hervortritt, ſtatt daß es vorhin beim gleichmaͤßigen ſchnellen Wechſel unter dem lebhaftern Eindrucke dieſes Gleichartigen im Wechſel verborgen blieb.","norm":"Wenn man die Schwingungen so bewirkt, dass sie immer langsamer erfolgen, so wird der Ton tiefer, und endlich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2604,"date":1830,"orig":"Sind zwei Saiten von einerlei Materie gleich lang zwiſchen den Befeſtigungspuncten und gleich dick, aber von ungleichen Gewichten geſpannt, ſo iſt die beſchleunigende Kraft, welche die Fortbewegung jedes einzelnen Punctes beſtimmt, doppelt ſo groß bei doppelt ſo großer Spannung, dreimal ſo groß bei dreimal ſo großer Spannung; und da eine viermal ſo große beſchleunigende Kraft den Koͤrper viermal ſo weit in der erſten Secunde fuͤhrt, als die einfache beſchleunigende Kraft, dagegen die einfache beſchleunigende Kraft in 2 Secunden den Koͤrper viermal ſo weit als 1 in Secunde fuͤhrt, ſo iſt hier bei der vierfachen ſpannenden Kraft der durchlaufene Weg in einem Zeittheilchen ſo groß, als bei der einfachen ſpannenden Kraft in 2 Zeittheilchen, oder die Vibrationen ſind doppelt ſo zahlreich in gleicher Zeit bei vierfacher Spannung als bei einfacher, dreimal ſo zahlreich in gleicher Zeit bei neunfacher Spannung und allgemein der Quadratwurzel aus der Spannung proportional.","norm":"Sind zwei Saiten von einerlei Materie gleich lang zwischen den Befestigungspunkten und gleich dick, aber von ungleichen Gewichten gespannt, so ist die beschleunigende Kraft, welche die Fortbewegung jedes einzelnen Punktes bestimmt, doppelt so groß bei doppelt so großer Spannung, dreimal so groß bei dreimal so großer Spannung; und da eine viermal so große beschleunigende Kraft den Körper viermal so weit in der ersten Sekunde führt, als die einfache beschleunigende Kraft, dagegen die einfache beschleunigende Kraft in 2 Sekunden den Körper viermal so weit als 1 in Sekunde führt, so ist hier bei der vierfachen spannenden Kraft der durchlaufene Weg in einem Zeitteilchen so groß, als bei der einfachen spannenden Kraft in 2 Zeitteilchen, oder die Vibrationen sind doppelt so zahlreich in gleicher Zeit bei vierfacher Spannung als bei einfacher, dreimal so zahlreich in gleicher Zeit bei neunfacher Spannung und allgemein der 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+{"basename":"brandes_naturlehre01_1830","par_idx":2607,"date":1830,"orig":"Und obgleich dies ſich am deutlichſten nur auf aͤhnliche Vibrationen bezieht, auf ſolche naͤmlich, bei denen gleiche Ausweichungen vom Zuſtande der Ruhe ſtatt finden, ſo laͤßt ſich doch auf eben die Weiſe, wie bei der Pendelbewegung, zeigen, daß es hierbei auf die Groͤße der Vibrationen nicht ankoͤmmt, ſondern die Vibrationen gleichzeitig ſtatt finden, ſie moͤgen groͤßer oder kleiner ſein, zumal da ſie gewiſſe Grenzen nicht zu uͤberſchreiten pflegen.","norm":"Und obgleich dies sich am deutlichsten nur auf ähnliche Vibrationen bezieht, auf solche nämlich, bei denen gleiche Ausweichungen vom Zustande der Ruhe stattfinden, so lässt sich doch auf eben die Weise, wie bei der Pendelbewegung, zeigen, dass es hierbei auf die Größe der Vibrationen nicht ankommt, sondern die Vibrationen gleichzeitig stattfinden, sie mögen größer oder kleiner sein, zumal da sie gewisse Grenzen nicht zu überschreiten 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+{"basename":"brandes_naturlehre01_1830","par_idx":2609,"date":1830,"orig":"Wenn wir bei gleicher Einwirkung der Schwere zwei Pendel, das eine viermal ſo lang als das andre aufhingen, ſo mußte der ſchwere Punct des langen Pendels unter der ganz aͤhnlichen Einwirkung derſelben Schwerkraft allemal einen viermal ſo langen Bogen, als der des kurzen, durchlaufen, wenn ſie um gleiche Winkel gehoben waren; das 4 mal ſo lange Pendel gebrauchte daher zweimal ſo lange Zeit zu ſeinen Oſcillationen, und ſo war allemal die Schwingungszeit zweimal ſo groß bei vierfacher, dreimal ſo groß bei neunfacher Laͤnge, oder den Quadratwurzeln aus den Laͤngen proportional.","norm":"Wenn wir bei gleicher Einwirkung der Schwere zwei Pendel, das eine viermal so lang als das andere aufhingen, so musste der schwere Punkt des langen Pendels unter der ganz ähnlichen Einwirkung derselben Schwerkraft allemal einen viermal so langen Bogen, als der des kurzen, durchlaufen, wenn sie um gleiche Winkel gehoben waren; das 4 Mal so lange Pendel gebrauchte daher zweimal so lange Zeit zu seinen Oszillationen, und so war allemal die Schwingungszeit zweimal so groß bei vierfacher, dreimal so groß bei neunfacher Länge, oder den Quadratwurzeln aus den Längen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2617,"date":1830,"orig":"Und grade auf jene conſonirenden Toͤne fuͤhrt uns der Verſuch, wenn die Anzahl der Schwingungen ſich verdoppelt, verdreifacht, oder viermal und fuͤnfmal ſo groß wird.","norm":"Und gerade auf jene konsonierenden Töne führt uns der Versuch, wenn die Anzahl der Schwingungen sich verdoppelt, verdreifacht, oder viermal und fünfmal so groß 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+{"basename":"brandes_naturlehre01_1830","par_idx":2618,"date":1830,"orig":"Man bedient ſich unter dem Namen Monochord eines Inſtruments, wo eine Saite in Schwingung geſetzt wird, und wo man durch verſchiedene Laͤnge, Dicke und Spannung der Saite alle die verſchiedenen Schwingungen hervorbringen kann, die wir ſo eben theoretiſch beſtimmt haben.","norm":"Man bedient sich unter dem Namen Monochord eines Instruments, wo eine Saite in Schwingung gesetzt wird, und wo man durch verschiedene Länge, Dicke und Spannung der Saite alle die verschiedenen Schwingungen hervorbringen kann, die wir so eben theoretisch bestimmt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2619,"date":1830,"orig":"Dieſes Inſtrument dient dem muſicaliſchen Ohre zur Vergleichung der unter beſtimmten Umſtaͤnden hervorgehenden Toͤne, und kann daher Tonmeſſer, Tonvergleicher, genannt werden.","norm":"Dieses Instrument dient dem musikalischen Ohr zur Vergleichung der unter bestimmten Umständen hervorgehenden Töne, und kann daher Tonmesser, Tonvergleicher, genannt 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+{"basename":"brandes_naturlehre01_1830","par_idx":2620,"date":1830,"orig":"Um den Saiten, wenn ſie zum Toͤnen gebracht werden, eine beſtimmte Laͤnge zu geben, werden ſie in zwei Puncten durch den Steg feſtgehalten, und nur der zwiſchen dieſen feſten Puncten liegende Theil der Saite wird in ſchwingende Bewegung geſetzt.","norm":"Um den Saiten, wenn sie zum Tönen gebracht werden, eine bestimmte Länge zu geben, werden sie in zwei Punkten durch den Steg festgehalten, und nur der zwischen diesen festen Punkten liegende Teil der Saite wird in schwingende Bewegung 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+{"basename":"brandes_naturlehre01_1830","par_idx":2622,"date":1830,"orig":"Um aber die Spannung abzumeſſen, hat das ganze Inſtrument eine verticale Stellung, die Saite wird durch angehaͤngte Gewichte in den angemeſſenen Zuſtand der Spannung gebracht und dann in jenem Puncte feſt eingeklemmt; ſoll die Spannung eine andre werden, ſo loͤſet man die Klemmung, haͤngt vermehrte oder verminderte Gewichte an, und ſtellt die Klemmung wieder her, wenn die Saite ſich der neuen Spannung gemaͤß ausgedehnt hat.","norm":"Um aber die Spannung abzumessen, hat das ganze Instrument eine vertikale Stellung, die Saite wird durch angehängte Gewichte in den angemessenen Zustand der Spannung gebracht und dann in jenem Punkte fest eingeklemmt; soll die Spannung eine andere werden, so löset man die Klemmung, hängt vermehrte oder verminderte Gewichte an, und stellt die Klemmung wieder her, wenn die Saite sich der neuen Spannung gemäß ausgedehnt 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wie viele Schwingungen ſie macht, waͤhrend die Saite unſers Monochords eine Schwingung macht; — geſetzt wir faͤnden, daß der ſiebente Theil der Monochordsſaite eben den Ton gaͤbe, wie jene, ſo wuͤßten wir, daß jene Saite ſieben Schwingungen macht, waͤhrend die ganze Saite des Monochords nur eine Vibration vollendet.","norm":"Wir haben eine zufällig gewählte Saite aufgespannt, und wollen wissen, wie viele Schwingungen sie macht, während die Saite unseres Monochords eine Schwingung macht; — gesetzt wir fänden, dass der siebente Teil der Monochordssaite eben den Ton gäbe, wie jene, so wüssten wir, dass jene Saite sieben Schwingungen macht, während die ganze Saite des Monochords nur eine Vibration vollendet.","orig_tok":["Wir","haben","eine","zufaͤllig","gewaͤhlte","Saite","aufgeſpannt",",","und","wollen","wiſſen",",","wie","viele","Schwingungen","ſie","macht",",","waͤhrend","die","Saite","unſers","Monochords","eine","Schwingung","macht",";","—","geſetzt","wir","faͤnden",",","daß","der","ſiebente","Theil","der","Monochordsſaite","eben","den","Ton","gaͤbe",",","wie","jene",",","ſo","wuͤßten","wir",",","daß","jene","Saite","ſieben","Schwingungen","macht",",","waͤhrend","die","ganze","Saite","des","Monochords","nur","eine","Vibration","vollendet","."],"norm_tok":["Wir","haben","eine","zufällig","gewählte","Saite","aufgespannt",",","und","wollen","wissen",",","wie","viele","Schwingungen","sie","macht",",","während","die","Saite","unseres","Monochords","eine","Schwingung","macht",";","—","gesetzt","wir","fänden",",","dass","der","siebente","Teil","der","Monochordssaite","eben","den","Ton","gäbe",",","wie","jene",",","so","wüssten","wir",",","dass","jene","Saite","sieben","Schwingungen","macht",",","während","die","ganze","Saite","des","Monochords","nur","eine","Vibration","vollendet","."],"orig_spans":[[0,3],[4,9],[10,14],[15,24],[25,34],[35,40],[41,52],[52,53],[54,57],[58,64],[65,71],[71,72],[73,76],[77,82],[83,95],[96,99],[100,105],[105,106],[107,115],[116,119],[120,125],[126,132],[133,143],[144,148],[149,159],[160,165],[165,166],[167,168],[169,176],[177,180],[181,188],[188,189],[190,193],[194,197],[198,206],[207,212],[213,216],[217,232],[233,237],[238,241],[242,245],[246,251],[251,252],[253,256],[257,261],[261,262],[263,265],[266,273],[274,277],[277,278],[279,282],[283,287],[288,293],[294,300],[301,313],[314,319],[319,320],[321,329],[330,333],[334,339],[340,345],[346,349],[350,360],[361,364],[365,369],[370,379],[380,389],[389,390]],"norm_spans":[[0,3],[4,9],[10,14],[15,23],[24,32],[33,38],[39,50],[50,51],[52,55],[56,62],[63,69],[69,70],[71,74],[75,80],[81,93],[94,97],[98,103],[103,104],[105,112],[113,116],[117,122],[123,130],[131,141],[142,146],[147,157],[158,163],[163,164],[165,166],[167,174],[175,178],[179,185],[185,186],[187,191],[192,195],[196,204],[205,209],[210,213],[214,229],[230,234],[235,238],[239,242],[243,247],[247,248],[249,252],[253,257],[257,258],[259,261],[262,269],[270,273],[273,274],[275,279],[280,284],[285,290],[291,297],[298,310],[311,316],[316,317],[318,325],[326,329],[330,335],[336,341],[342,345],[346,356],[357,360],[361,365],[366,375],[376,385],[385,386]],"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":3.836899995803833} +{"basename":"brandes_naturlehre01_1830","par_idx":2628,"date":1830,"orig":"Die bisher mitgetheilten Geſetze wuͤrden nicht allein zu Beſtimmung des Verhaͤltniſſes der Schwingungszeiten bei verſchiedenen Saiten dienen, ſondern ſelbſt die wahre Anzahl der Schwingungen ergeben, wenn nicht bei dem Fortrechnen von einer geringen Zahl von Schwingungen auf die viel zahlreicheren, ſo leicht ein Fehler ſtatt finden koͤnnte.","norm":"Die bisher mitgeteilten Gesetze würden nicht allein zu Bestimmung des Verhältnisses der Schwingungszeiten bei verschiedenen Saiten dienen, sondern selbst die wahre Anzahl der Schwingungen ergeben, wenn nicht bei dem Fortrechnen von einer geringen Zahl von Schwingungen auf die viel zahlreicheren, so leicht ein Fehler stattfinden 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+{"basename":"brandes_naturlehre01_1830","par_idx":2629,"date":1830,"orig":"Naͤhme man naͤmlich eine ſo dicke und lange Saite, daß ſie bei maͤßiger Spannung nur eine oder wenige Vibrationen in einer Secunde machte, ſo koͤnnte man dieſe, nicht mehr als Ton hoͤrbaren, aber mit dem Auge abzaͤhlbaren Schwingungen zum Grunde legen, und nun bei einer halb ſo langen Saite auf doppelt ſo ſchnelle Schwingungen, bei einer ein Zehntel ſo langen und auch nur ein Zehntel ſo dicken Saite auf hundertmal ſo ſchnelle Schwingungen rechnen.","norm":"Nähme man nämlich eine so dicke und lange Saite, dass sie bei mäßiger Spannung nur eine oder wenige Vibrationen in einer Sekunde machte, so könnte man diese, nicht mehr als Ton hörbaren, aber mit dem Auge abzählbaren Schwingungen zum Grunde legen, und nun bei einer halb so langen Saite auf doppelt so schnelle Schwingungen, bei einer ein Zehntel so langen und auch nur ein Zehntel so dicken Saite auf hundertmal so schnelle Schwingungen 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berechnen, aber es bedarf doch der Vergleichung mit der Erfahrung, um uns zu uͤberzeugen, daß hiebei Nebenumſtaͤnde, zum Beiſpiel die Steifheit der Saite, keine zu große Unſicherheit hervorbringen.","norm":"Die Theorie selbst gibt zwar noch eine andere Regel, um aus dem bloßen Gewichte der Saite, aus ihrer Länge und Spannung die Anzahl der Schwingungen zu berechnen, aber es bedarf doch der Vergleichung mit der Erfahrung, um uns zu überzeugen, dass hierbei Nebenumstände, zum Beispiel die Steifheit der Saite, keine zu große Unsicherheit 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+{"basename":"brandes_naturlehre01_1830","par_idx":2633,"date":1830,"orig":"Schwingungsknoten","norm":"Schwingungsknoten","orig_tok":["Schwingungsknoten"],"norm_tok":["Schwingungsknoten"],"orig_spans":[[0,17]],"norm_spans":[[0,17]],"alignment":[[0,0]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.381100177764893} +{"basename":"brandes_naturlehre01_1830","par_idx":2634,"date":1830,"orig":"Ein neuer Gegenſtand aber bietet ſich uns in den verſchiedenen Schwingungen dar, welche anzunehmen eine und dieſelbe Saite faͤhig iſt.","norm":"Ein neuer Gegenstand aber bietet sich uns in den verschiedenen Schwingungen dar, welche anzunehmen eine und dieselbe Saite fähig 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+{"basename":"brandes_naturlehre01_1830","par_idx":2635,"date":1830,"orig":"Wir haben bisher vorausgeſetzt, daß die ganze Saite ihre Schwingungen ſo vollende, daß alle ihre Theile in einem Zeitmomente rechts, im naͤchſten Zeitmomente links von der graden Linie ſind, zu welcher die Saite immer wieder zuruͤckkehrt; aber dieſes iſt nicht nothwendig der Fall, ſondern die Saite kann ſich in mehrere gleiche Theile ſo theilen, daß jeder Theil ſeine Schwingungen macht, waͤhrend die Endpuncte jedes Theiles ruhen.","norm":"Wir haben bisher vorausgesetzt, dass die ganze Saite ihre Schwingungen so vollende, dass alle ihre Teile in einem Zeitmomente rechts, im nächsten Zeitmomente links von der geraden Linie sind, zu welcher die Saite immer wieder zurückkehrt; aber dieses ist nicht notwendig der Fall, sondern die Saite kann sich in mehrere gleiche Teile so teilen, dass jeder Teil seine Schwingungen macht, während die Endpunkte jedes Teiles 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der Nähe von b bleiben fast ganz ruhig liegen, statt dass die bei d oder e aufliegenden abgeworfen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2640,"date":1830,"orig":"Mißt man naͤmlich ihre ganze Laͤnge ab, beſtimmt ihre gleichen Abtheilungen, zum Beiſpiel alle Fuͤnftel und legt auf die Endpuncte dieſer Abtheilungen weiße, dagegen in die Mitte jeder Abtheilung farbige Papierchen auf die Saite, daͤmpft mit leiſe angehaltnen Finger auf dem Ende des erſten Fuͤnftels und ſtreicht in der Mitte deſſelben, ſo fallen alle farbigen Papiere ſogleich herab, waͤhrend die weißen ganz ruhig liegen bleiben.","norm":"Misst man nämlich ihre ganze Länge ab, bestimmt ihre gleichen Abteilungen, zum Beispiel alle Fünftel und legt auf die Endpunkte dieser Abteilungen weiße, dagegen in die Mitte jeder Abteilung farbige Papierchen auf die Saite, dämpft mit leise angehaltenen Finger auf dem Ende des ersten Fünftel und streicht in der Mitte desselben, so fallen alle farbigen Papiere sogleich herab, während die weißen ganz ruhig liegen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2642,"date":1830,"orig":"Wenn die Saite ſich ſo in mehrere Abtheilungen zerlegt, zwiſchen denen unbewegte Puncte oder Schwingungsknoten liegen, ſo ſind die Abtheilungen immer gleich, und nie begegnet es, daß z. B. nur ein einziger Schwingungsknoten am Ende des einen Drittels vorhanden waͤre, alſo das Stuͤck ab ſeine Schwingungen machen ſollte, waͤhrend das doppelt ſo lange Stuͤck bc gleichfalls ſeine Schwingungen fortſetzte (Fig. 149.).","norm":"Wenn die Saite sich so in mehrere Abteilungen zerlegt, zwischen denen unbewegte Punkte oder Schwingungsknoten liegen, so sind die Abteilungen immer gleich, und nie begegnet es, dass z. 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Die theoretiſche Ableitung dieſer Regeln kann ich hier nicht unternehmen.","norm":"Ist bei zwei Stäben sonst alles gleich, aber die Länge ungleich, so sind die Schwingungen langsamer bei längeren Stäben, und zwar so, dass die Zeit einer Schwingung bei dem doppelt so langen Stabe viermal so lang, bei dem dreimal so langen Stabe neunmal so lang ist, u. s. w. 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+{"basename":"brandes_naturlehre01_1830","par_idx":2698,"date":1830,"orig":"Dies koͤnnte uns wohl bewegen, zu fragen, welche Schwingungszeiten wir denn den Toͤnen geben muͤßten, damit ſie ſich durch einfache Zahlenverhaͤltniſſe empfoͤhlen; und wenn wir dieſe Frage zu beantworten ſuchen, und mit dem Monochord uns die ſo beſtimmten Toͤne wirklich verſchaffen, ſo zeigt ſich, daß die harmoniſchen Toͤne ſich alle auf dieſe Art in unſern arithmetiſchen Betrachtungen wieder finden.","norm":"Dies könnte uns wohl bewegen, zu fragen, welche Schwingungszeiten wir denn den Tönen geben müssten, damit sie sich durch einfache Zahlenverhältnisse empföhlen; und wenn wir diese Frage zu beantworten suchen, und mit dem Monochord uns die so bestimmten Töne wirklich verschaffen, so zeigt sich, dass die harmonischen Töne sich alle auf diese Art in unseren arithmetischen Betrachtungen wieder 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+{"basename":"brandes_naturlehre01_1830","par_idx":2699,"date":1830,"orig":"Wir wollen von einem Tone ausgehen, den wir nach Art der Muſiker mit C bezeichnen wollen, ſo iſt ſeine Octave C der Ton, welcher zwei Schwingungen macht, waͤhrend C eine Schwingung machte.","norm":"Wir wollen von einem Tone ausgehen, den wir nach Art der Musiker mit C bezeichnen wollen, so ist seine Oktave C der Ton, welcher zwei Schwingungen macht, während C eine Schwingung 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+{"basename":"brandes_naturlehre01_1830","par_idx":2700,"date":1830,"orig":"Kuͤrzen wir unſre Saite auf ein Drittel der Laͤnge ab, welche C gab, ſo erhalten wir einen neuen Ton, den wir als harmoniſch zu C oder c toͤnend erkennen, und den uns das muſicaliſche Ohr als g unſrer Scale, als die hoͤhere Quinte zu c kennen lehrt; der Theil unſrer Saite, der zwei Drittel der ganzen betraͤgt, ſchwingt dreimal, in eben der Zeit, da die ganze zwei Schwingungen vollendet; und dieſem einfachen Verhaͤltniſſe der Schwingungszeiten, wobei mit der zweiten, vierten, ſechſten Schwingung der laͤngern, die dritte, ſechſte, neunte der andern zuſammentrifft, iſt die dem muſicaliſchen Ohre harmoniſch klingende Quinte G zum Grundtone C, und fuͤr die nur ein Drittel der Laͤnge habende Saite, die g angiebt, trifft das Ende jeder dritten Schwingung mit dem Ende einer Schwingung des C zuſammen.","norm":"Kürzen wir unsere Saite auf ein Drittel der Länge ab, welche C gab, so erhalten wir einen neuen Ton, den wir als harmonisch zu C oder c tönend erkennen, und den uns das musikalische Ohr als g unserer Scale, als die höhere Quinte zu c kennen lehrt; der Teil unserer Saite, der zwei Drittel der ganzen beträgt, schwingt dreimal, in eben der Zeit, da die ganze zwei Schwingungen vollendet; und diesem einfachen Verhältnisse der Schwingungszeiten, wobei mit der zweiten, vierten, sechsten Schwingung der längeren, die dritte, sechste, neunte der anderen zusammentrifft, ist die dem musikalischen Ohr harmonisch klingende Quinte G zum Grundtone C, und für die nur ein Drittel der Länge habende Saite, die g angibt, trifft das Ende jeder dritten Schwingung mit dem Ende einer Schwingung des C 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+{"basename":"brandes_naturlehre01_1830","par_idx":2701,"date":1830,"orig":"Nehmen wir die Saite ein Viertel ſo lang, ſo daß vier Schwingungen dieſer kuͤrzern Saite einer Schwingung des Grundtons oder zwei Schwingungen der naͤchſten hoͤhern Octave entſprechen, ſo iſt dies ein Ton, der als zweite hoͤhere Octave zum Grundtone gehoͤrt, alſo nach der in der Muſik uͤblichen Bezeichnung, durch c,̅ als ſich an C, c, anſchließend, angegeben wird.","norm":"Nehmen wir die Saite ein Viertel so lang, so dass vier Schwingungen dieser kürzeren Saite einer Schwingung des Grundtons oder zwei Schwingungen der nächsten höheren Oktave entsprechen, so ist dies ein Ton, der als zweite höhere Oktave zum Grundtone gehört, also nach der in der Musik üblichen Bezeichnung, durch c,̅ als sich an C, c, anschließend, angegeben 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+{"basename":"brandes_naturlehre01_1830","par_idx":2702,"date":1830,"orig":"Die naͤchſte Eintheilung der Saite, die ſich uns darbietet, wuͤrde in fuͤnf Theile ſein.","norm":"Die nächste Einteilung der Saite, die sich uns darbietet, würde in fünf Teile 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laͤßt, hoͤher als c̅ ſein muß, erhellt von ſelbſt; aber die Merkwuͤrdigkeit des Harmonirenden im Tone erneuert ſich abermals, und e̅, der zu c̅ als große Terze gehoͤrende Ton iſt es, den eine Saite, ein Fuͤnftel ſo lang als die C Saite, angiebt; die Saite, deren Laͤnge zwei Fuͤnftel iſt, giebt e, als große Terze zu c, die Saite von vier Fuͤnftel Laͤnge giebt E, als große Terze zu C.","norm":"Dass der Ton, den eine fünfmal so schnell wiederkehrende Vibration, als die, welche C gibt, uns hören lässt, höher als c sein muss, erhellt von selbst; aber die Merkwürdigkeit des Harmonierenden im Tone erneuert sich abermals, und e, der zu c als große Terz gehörende Ton ist es, den eine Saite, ein Fünftel so lang als die C Saite, angibt; die Saite, deren Länge zwei Fünftel ist, gibt e, als große Terz zu c, die Saite von vier Fünftel Länge gibt E, als große Terz zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2709,"date":1830,"orig":"Denn wenn wir gefragt haͤtten, welche Schwingungen treffen am oͤfterſten und ſo mit denen des C zuſammen, daß von dieſen keine ohne ein Zuſammentreffen mit jenen iſt, ſo wuͤrden wir die doppelt ſo oft wiederkehrenden Schwingungen angeben, deren zweite mit der erſten von C, deren vierte mit der zweiten von C, deren ſechſte mit der dritten von C gleichzeitig vollendet wird; — und grade in dieſen doppelt ſo ſchnellen Schwingungen erkennt das muſicaliſche Ohr den dem Grundtone am naͤchſten verwandten Ton, die Octave c. Haͤtten wir weiter gefragt, welche zuſammen treffenden Schwingungen nun als am naͤchſten verwandt folgen muͤßten, ſo wuͤrden wir auf diejenigen fallen, wo mit der zweiten des C die dritte des neuen Tones, mit der vierten des C die ſechſte des neuen Tones zuſammentraͤfe, und dieſen Ton erkennt das muſicaliſche Ohr wirklich als die naͤchſte nach der Octave folgende Verwandtſchaft, die zu C gehoͤrige Quinte G.","norm":"Denn wenn wir gefragt hätten, welche Schwingungen treffen am öftesten und so mit denen des C zusammen, dass von diesen keine ohne ein Zusammentreffen mit jenen ist, so würden wir die doppelt so oft wiederkehrenden Schwingungen angeben, deren zweite mit der ersten von C, deren vierte mit der zweiten von C, deren sechste mit der dritten von C gleichzeitig vollendet wird; — und gerade in diesen doppelt so schnellen Schwingungen erkennt das musikalische Ohr den dem Grundtone am nächsten verwandten Ton, die Oktave c. Hätten wir weiter gefragt, welche zusammen treffenden Schwingungen nun als am nächsten verwandt folgen müssten, so würden wir auf diejenigen fallen, wo mit der zweiten des C die dritte des neuen Tones, mit der vierten des C die sechste des neuen Tones zusammenträfe, und diesen Ton erkennt das musikalische Ohr wirklich als die nächste nach der Oktave folgende Verwandtschaft, die zu C gehörige Quinte 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oder die Schwingungszahlen sind für C eine Schwingung, für G [Formel] Schwingungen, für g 3 Schwingungen, welches ich hier und nachher durch die darunter gesetzten Zahlen andeute: C G c g 1 [Formel] 2 3 Die Fortschreitung von C zu E nennen die Musiker eine große Terz, das Intervall von E zu G eine kleine Terz; es macht nämlich E [Formel] Schwingung während C eine macht, dagegen G [Formel] Schwingung während E eine macht, und CE treffen daher schon bei der fünften Schwingung der schneller vibrierenden Saite, EG dagegen erst bei der sechsten Schwingung der schneller vibrierenden Saite zusammen; der Abstand von 1 bis [Formel] ist größer als von 1 bis 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+{"basename":"brandes_naturlehre01_1830","par_idx":2711,"date":1830,"orig":"So beſteht unſre Tonleiter nur erſt aus folgenden Toͤnen: C E G c e g c̅ e̅ g̅ 1 [Formel] 2 [Formel] 3 4 5 6 indem die hoͤhere naͤchſte Octave fuͤr jeden Ton eine doppelt ſo große Schwingungszahl hat.","norm":"So besteht unsere Tonleiter nur erst aus folgenden Tönen: C E G c e g c e g 1 [Formel] 2 [Formel] 3 4 5 6 indem die höhere nächste Oktave für jeden Ton eine doppelt so große Schwingungszahl 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+{"basename":"brandes_naturlehre01_1830","par_idx":2712,"date":1830,"orig":"Um dieſe Tonleiter weiter zu vervollkommnen, machen wir die Bemerkung, daß auch die Schwingungszahl [Formel] als ſehr einfach in unſre Reihe gehoͤre; E macht 5 Schwingungen gleichzeitig mit 4 der C Saite, der neue Ton macht 4 Schwingungen gleichzeitig mit 3 der C Saite, G macht 3 Schwingungen gleichzeitig mit zweien der C Saite.","norm":"Um diese Tonleiter weiter zu vervollkommnen, machen wir die Bemerkung, dass auch die Schwingungszahl [Formel] als sehr einfach in unsere Reihe gehöre; E macht 5 Schwingungen gleichzeitig mit 4 der C Saite, der neue Ton macht 4 Schwingungen gleichzeitig mit 3 der C Saite, G macht 3 Schwingungen gleichzeitig mit zwei der C 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D . E . F. G . . H . c d e f g h c̅ d̅ 1 [Formel] 2 [Formel] [Formel] [Formel] 3 [Formel] 4 [Formel] u. ſ. w. in welcher die Fortſchreitungen ſchon weit regelmaͤßiger ſind, nur zwiſchen G und H iſt ein viel groͤßerer Abſtand [Formel] :∶ [Formel] 3 :∶ [Formel] 1 :∶ [Formel] , als irgendwo ſonſt, indem H um eine große Terze von G entfernt iſt, und wir ſchalten deshalb noch die große Terze der Quarte, die große Terze von F ein, ſo daß dieſem Tone A 5 Schwingungen gleichzeitig mit 4 des Tones F zukommen, oder [Formel] Schwingungen fuͤr [Formel] des F, das iſt [Formel] fuͤr eine Schwingung des C.","norm":"Diese beiden Töne werden die große Terz und die Quinte zu G geben, und wenn wir sie unter dem Namen H und d in unsere Tonleiter aufnehmen, zugleich aber bemerken, dass dem d mit [Formel] ein D mit [Formel] eine Oktave tiefer, entspricht, (das heißt, wenn d 3 Schwingungen macht, während G zweimal schwingt, also d 9 Schwingungen macht, während C viermal schwingt, so hat D 9 Schwingungen während C achtmal schwingt,), so erhalten wir folgende Tonscale: C . D . E . F. G . . H . c d e f g h. c d 1 [Formel] 2 [Formel] [Formel] [Formel] 3 [Formel] 4 [Formel] u. s. w. in welcher die Fortschreitungen schon weit regelmäßiger sind, nur zwischen G und H ist ein viel größerer Abstand [Formel]: ∶ [Formel] 3: ∶ [Formel] 1: ∶ [Formel], als irgendwo sonst, indem H um eine große Terz von G entfernt ist, und wir schalten deshalb noch die große Terz der Quarte, die große Terz von F ein, so dass diesem Tone A 5 Schwingungen gleichzeitig mit 4 des Tones F zukommen, oder [Formel] Schwingungen für [Formel] des F, das ist [Formel] für eine Schwingung des 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+{"basename":"brandes_naturlehre01_1830","par_idx":2720,"date":1830,"orig":"Eine leichte Zahlenrechnung zeigt, daß die Schwingungszeiten ſich in folgenden, unter einander geſetzten Zahlen ausdruͤcken laſſen, wenn man entweder an eine Schwingung des C, oder an eine Schwingung des D, des E und ſo ferner, die des naͤchſten Tons anſchließt Die Intervalle von einem Tone zum naͤchſten, ſind alſo von C zu D,1 :∶ [Formel] , von D zu E, 1 :∶ [Formel] , beinahe gleich, dagegen von E zu F, 1 :∶ [Formel] iſt die Fortſchreitung nur etwas uͤber die Haͤlfte des vorigen; von F zu G, 1 :∶ [Formel] , von G zu A, 1 :∶ [Formel] , von A zu H, 1 :∶ [Formel] , von H zu c, 1 :∶ [Formel] . Wir nennen daher die beinahe gleichen Fortſchreitungen von C zu D, D zu E, F zu G, G zu A, A zu H, Intervalle eines ganzen Tones, dagegen die viel geringern Fortſchreitungen E zu F und H zu c Intervalle eines großen halben Tones, da [Formel] nur um etwas mehr als halb ſo weit von 1 iſt, als [Formel] von 1 entfernt iſt, (Jenes naͤmlich [Formel] = [Formel] , nur [Formel] von 1 verſchieden, dieſes dagegen [Formel] = [Formel] , um [Formel] von 1 verſchieden).","norm":"Eine leichte Zahlenrechnung zeigt, dass die Schwingungszeiten sich in folgenden, untereinander gesetzten Zahlen ausdrücken lassen, wenn man entweder an eine Schwingung des C, oder an eine Schwingung des D, des E und so ferner, die des nächsten Tons anschließt die Intervalle von einem Tone zum nächsten, sind also von C zu D,1: ∶ [Formel], von D zu E, 1: ∶ [Formel], beinahe gleich, dagegen von E zu F, 1: ∶ [Formel] ist die Fortschreitung nur etwas über die Hälfte des vorigen; von F zu G, 1: ∶ [Formel], von G zu A, 1: ∶ [Formel], von A zu H, 1: ∶ [Formel], von H zu c, 1: ∶ [Formel]. Wir nennen daher die beinahe gleichen Fortschreitungen von C zu D, D zu E, F zu G, G zu A, A zu H, Intervalle eines ganzen Tones, dagegen die viel geringeren Fortschreitungen E zu F und H zu c Intervalle eines großen halben Tones, da [Formel] nur um etwas mehr als halb so weit von 1 ist, als [Formel] von 1 entfernt ist, (Jenes nämlich [Formel] = [Formel], nur [Formel] von 1 verschieden, dieses dagegen [Formel] = [Formel], um [Formel] von 1 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liegt.","orig_tok":["Die","anſcheinende","Sonderbarkeit",",","daß","unſer","Ohr","in","der","Dur-","Tonleiter","ein","Fortſchreiten","durch","zwei","ganze","Toͤne",",","dann","durch","einen","halben","Ton",",","ferner","durch","drei","ganze","Toͤne","und","wieder","durch","einen","halben","Ton",",","um","die","Octave","zu","vollenden",",","angenehm","findet",",","loͤſet","ſich","durch","dieſe","Betrachtung","dahin","auf",",","daß","eben","in","dieſen","ungleichen","Fortſchritten","ſich","die","an","den","Grundton",",","die","Quinte","und","Quarte","angeknuͤpften","einfachen","Zahlenverhaͤltniſſe","an","einander","anreihen",",","daß","von","der","großen","Terze","bis","zur","Quinte","nur","das","Intervall","einer","kleinen","Terze","enthalten","iſt",",","und","zwiſchen","der","großen","Terze","und","Quarte",",","die","wir","nothwendig","in","unſre","Tonleiter","aufnehmen","mußten",",","nur","das","Intervall","eines","halben","Tones","liegt","."],"norm_tok":["Die","anscheinende","Sonderbarkeit",",","dass","unser","Ohr","in","der","Dur-Tonleiter","ein","Fortschreiten","durch","zwei","ganze","Töne",",","dann","durch","einen","halben","Ton",",","ferner","durch","drei","ganze","Töne","und","wieder","durch","einen","halben","Ton",",","um","die","Oktave","zu","vollenden",",","angenehm","findet",",","löset","sich","durch","diese","Betrachtung","dahin","auf",",","dass","eben","in","diesen","ungleichen","Fortschritten","sich","die","an","den","Grundton",",","die","Quinte","und","Quarte","angeknüpften","einfachen","Zahlenverhältnisse","aneinander","anreihen",",","dass","von","der","großen","Terz","bis","zur","Quinte","nur","das","Intervall","einer","kleinen","Terz","enthalten","ist",",","und","zwischen","der","großen","Terz","und","Quarte",",","die","wir","notwendig","in","unsere","Tonleiter","aufnehmen","mussten",",","nur","das","Intervall","eines","halben","Tones","liegt","."],"orig_spans":[[0,3],[4,16],[17,30],[30,31],[32,35],[36,41],[42,45],[46,48],[49,52],[53,57],[58,67],[68,71],[72,85],[86,91],[92,96],[97,102],[103,108],[108,109],[110,114],[115,120],[121,126],[127,133],[134,137],[137,138],[139,145],[146,151],[152,156],[157,162],[163,168],[169,172],[173,179],[180,185],[186,191],[192,198],[199,202],[202,203],[204,206],[207,210],[211,217],[218,220],[221,230],[230,231],[232,240],[241,247],[247,248],[249,255],[256,260],[261,266],[267,272],[273,284],[285,290],[291,294],[294,295],[296,299],[300,304],[305,307],[308,314],[315,325],[326,339],[340,344],[345,348],[349,351],[352,355],[356,364],[364,365],[366,369],[370,376],[377,380],[381,387],[388,401],[402,411],[412,431],[432,434],[435,443],[444,452],[452,453],[454,457],[458,461],[462,465],[466,472],[473,478],[479,482],[483,486],[487,493],[494,497],[498,501],[502,511],[512,517],[518,525],[526,531],[532,541],[542,545],[545,546],[547,550],[551,559],[560,563],[564,570],[571,576],[577,580],[581,587],[587,588],[589,592],[593,596],[597,607],[608,610],[611,616],[617,626],[627,636],[637,643],[643,644],[645,648],[649,652],[653,662],[663,668],[669,675],[676,681],[682,687],[687,688]],"norm_spans":[[0,3],[4,16],[17,30],[30,31],[32,36],[37,42],[43,46],[47,49],[50,53],[54,67],[68,71],[72,85],[86,91],[92,96],[97,102],[103,107],[107,108],[109,113],[114,119],[120,125],[126,132],[133,136],[136,137],[138,144],[145,150],[151,155],[156,161],[162,166],[167,170],[171,177],[178,183],[184,189],[190,196],[197,200],[200,201],[202,204],[205,208],[209,215],[216,218],[219,228],[228,229],[230,238],[239,245],[245,246],[247,252],[253,257],[258,263],[264,269],[270,281],[282,287],[288,291],[291,292],[293,297],[298,302],[303,305],[306,312],[313,323],[324,337],[338,342],[343,346],[347,349],[350,353],[354,362],[362,363],[364,367],[368,374],[375,378],[379,385],[386,398],[399,408],[409,427],[428,438],[439,447],[447,448],[449,453],[454,457],[458,461],[462,468],[469,473],[474,477],[478,481],[482,488],[489,492],[493,496],[497,506],[507,512],[513,520],[521,525],[526,535],[536,539],[539,540],[541,544],[545,553],[554,557],[558,564],[565,569],[570,573],[574,580],[580,581],[582,585],[586,589],[590,599],[600,602],[603,609],[610,619],[620,629],[630,637],[637,638],[639,642],[643,646],[647,656],[657,662],[663,669],[670,675],[676,681],[681,682]],"alignment":[[0,0],[1,1],[2,2],[3,3],[4,4],[5,5],[6,6],[7,7],[8,8],[9,9],[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],[49,48],[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],[65,64],[66,65],[67,66],[68,67],[69,68],[70,69],[71,70],[72,71],[73,71],[74,72],[75,73],[76,74],[77,75],[78,76],[79,77],[80,78],[81,79],[82,80],[83,81],[84,82],[85,83],[86,84],[87,85],[88,86],[89,87],[90,88],[91,89],[92,90],[93,91],[94,92],[95,93],[96,94],[97,95],[98,96],[99,97],[100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+{"basename":"brandes_naturlehre01_1830","par_idx":2724,"date":1830,"orig":"Dur-Tonleiter fuͤr einen andern Grundton.","norm":"Dur-Tonleiter für einen anderen Grundton.","orig_tok":["Dur-Tonleiter","fuͤr","einen","andern","Grundton","."],"norm_tok":["Dur-Tonleiter","für","einen","anderen","Grundton","."],"orig_spans":[[0,13],[14,18],[19,24],[25,31],[32,40],[40,41]],"norm_spans":[[0,13],[14,17],[18,23],[24,31],[32,40],[40,41]],"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":3.525799989700317} +{"basename":"brandes_naturlehre01_1830","par_idx":2725,"date":1830,"orig":"Dieſe Entwickelung der vollſtaͤndigen Tonleiter fuͤr C dur, reicht nun zwar fuͤr dieſen einen Grundton hin; aber unſre Tonleiter zeigt ſich nicht mehr als genuͤgend, wenn wir von einem andern Grundtone ausgehen.","norm":"Diese Entwicklung der vollständigen Tonleiter für C-Dur, reicht nun zwar für diesen einen Grundton hin; aber unsere Tonleiter zeigt sich nicht mehr als genügend, wenn wir von einem anderen Grundtone 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großer halber Ton 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kleinen halben Ton höherer eingeschalteter Ton genommen wird, und F selbst kommt in der Tonleiter von g Dur nicht 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+{"basename":"brandes_naturlehre01_1830","par_idx":2754,"date":1830,"orig":"Die Moll-Tonleiter.","norm":"Die Moll-Tonleiter.","orig_tok":["Die","Moll-Tonleiter","."],"norm_tok":["Die","Moll-Tonleiter","."],"orig_spans":[[0,3],[4,18],[18,19]],"norm_spans":[[0,3],[4,18],[18,19]],"alignment":[[0,0],[1,1],[2,2]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.7754998207092285} +{"basename":"brandes_naturlehre01_1830","par_idx":2755,"date":1830,"orig":"Da dieſe Betrachtungen aus der theoretiſchen Muſik fuͤr jeden, der ſich irgend mit Muſik beſchaͤftigt, Intereſſe haben, ſo muß ich doch auch noch ein Wort uͤber die Moll-Tonleitern und uͤber die mit jedem Dur-Ton verwandte Moll-Tonart ſagen.","norm":"Da diese Betrachtungen aus der theoretischen Musik für jeden, der sich irgend mit Musik beschäftigt, Interesse haben, so muss ich doch auch noch ein Wort über die Moll-Tonleitern und über die mit jedem Durton verwandte Molltonart 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+{"basename":"brandes_naturlehre01_1830","par_idx":2773,"date":1830,"orig":"Wir haben bisher ſoviel als moͤglich immer uns an die Verhaͤltniſſe gehalten, die von dem erſten Grundtone C abgeleitet waren, und haben die kleinen Abweichungen, die dann bei den Conſonanzen andrer Toͤne ſtatt fanden, nur obenhin bemerkt; dieſe Abweichungen verdienen aber doch genauer erwogen zu werden.","norm":"Wir haben bisher soviel als möglich immer uns an die Verhältnisse gehalten, die von dem ersten Grundtone C abgeleitet waren, und haben die kleinen Abweichungen, die dann bei den Konsonanzen anderer Töne stattfanden, nur obenhin bemerkt; diese Abweichungen verdienen aber doch genauer erwogen zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2774,"date":1830,"orig":"Wenn man von C durch zwei ganze Toͤne zur großen Terze E fortſchreitet, ſo ſchwingt E [Formel] mal, waͤhrend C einmal ſchwingt; ebenſo ſollte bei abermaligem Fortſchreiten durch zwei ganze Toͤne von E bis Gis oder As, dies letztere [Formel] Schwingungen mit einer Schwingung des E, alſo [Formel] Schwingungen mit einer des C gleichzeitig vollenden, und wenn man von Gis oder As durch zwei ganze Toͤne bis c fortſchritte, ſo ſollte c [Formel] mit Gis 1, oder c [Formel] mit E 1, oder c [Formel] Schwingungen mit C 1, mit einer Schwingung des C gleichzeitig ſein.","norm":"Wenn man von C durch zwei ganze Töne zur großen Terz E fortschreitet, so schwingt E [Formel] Mal, während C einmal schwingt; ebenso sollte bei abermaligem Fortschreiten durch zwei ganze Töne von E bis Gis oder As, dies letztere [Formel] Schwingungen mit einer Schwingung des E, also [Formel] Schwingungen mit einer des C gleichzeitig vollenden, und wenn man von Gis oder As durch zwei ganze Töne bis c fortschritte, so sollte c [Formel] mit Gis 1, oder c [Formel] mit E 1, oder c [Formel] Schwingungen mit C 1, mit einer Schwingung des C gleichzeitig 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+{"basename":"brandes_naturlehre01_1830","par_idx":2775,"date":1830,"orig":"Aber damit die Octave rein ſei, muß c 2 Schwingungen = [Formel] vollenden, waͤhrend C eine vollendet, und es iſt daher unmoͤglich drei reine große Terzen zu erhalten, ohne am Ende derſelben die Octave um [Formel] zu verfehlen.","norm":"Aber damit die Oktave rein sei, muss c 2 Schwingungen = [Formel] vollenden, während C eine vollendet, und es ist daher unmöglich drei reine große Terzen zu erhalten, ohne am Ende derselben die Oktave um [Formel] zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2776,"date":1830,"orig":"Ebenſo wuͤrden vier kleine Terzen, wenn ſie ganz rein ſein, naͤmlich immer im Verhaͤltniß [Formel] der Schwingungszahl fortgehen ſollten, am Ende zu keiner reinen Octave fuͤhren; naͤmlich nach der kleinen Terze muͤßte ſein C Es Fis oder Ges A c 1 [Formel] [Formel] [Formel] [Formel] und das ſo beſtimmte c weicht um [Formel] vom richtigen, der Octave gemaͤßen c ab, das heißt, das als reine Octave eingeſtimmte c wuͤrde 2 Schwingungen machen waͤhrend das nach dem Fortgange von 4 reinen kleinen Terzen eingeſtimmte c [Formel] Schwingung machte, oder jenes 1250 Schwingungen waͤhrend dieſes 1296, jenes 625 waͤhrend dieſes 648.","norm":"Ebenso würden vier kleine Terzen, wenn sie ganz rein sein, nämlich immer im Verhältnis [Formel] der Schwingungszahl fortgehen sollten, am Ende zu keiner reinen Oktave führen; nämlich nach der kleinen Terz müsste sein C es Fis oder Ges A c 1 [Formel] [Formel] [Formel] [Formel] und das so bestimmte c weicht um [Formel] vom richtigen, der Oktave gemässen c ab, das heißt, das als reine Oktave eingestimmte c würde 2 Schwingungen machen während das nach dem Fortgange von 4 reinen kleinen Terzen eingestimmte c [Formel] Schwingung machte, oder jenes 1250 Schwingungen während dieses 1296, jenes 625 während dieses 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+{"basename":"brandes_naturlehre01_1830","par_idx":2777,"date":1830,"orig":"Die aus vier kleinen Terzen zuſammengeſetzte Octave iſt alſo um ſo viel als [Formel] angiebt zu hoch, ſo wie die aus drei großen Terzen zuſammengeſetzte Octave zu tief war.","norm":"Die aus vier kleinen Terzen zusammengesetzte Oktave ist also um so viel als [Formel] angibt zu hoch, so wie die aus drei großen Terzen zusammengesetzte Oktave zu tief war.","orig_tok":["Die","aus","vier","kleinen","Terzen","zuſammengeſetzte","Octave","iſt","alſo","um","ſo","viel","als","[Formel]","angiebt","zu","hoch",",","ſo","wie","die","aus","drei","großen","Terzen","zuſammengeſetzte","Octave","zu","tief","war","."],"norm_tok":["Die","aus","vier","kleinen","Terzen","zusammengesetzte","Oktave","ist","also","um","so","viel","als","[","Formel","]","angibt","zu","hoch",",","so","wie","die","aus","drei","großen","Terzen","zusammengesetzte","Oktave","zu","tief","war","."],"orig_spans":[[0,3],[4,7],[8,12],[13,20],[21,27],[28,44],[45,51],[52,55],[56,60],[61,63],[64,66],[67,71],[72,75],[76,84],[85,92],[93,95],[96,100],[100,101],[102,104],[105,108],[109,112],[113,116],[117,121],[122,128],[129,135],[136,152],[153,159],[160,162],[163,167],[168,171],[171,172]],"norm_spans":[[0,3],[4,7],[8,12],[13,20],[21,27],[28,44],[45,51],[52,55],[56,60],[61,63],[64,66],[67,71],[72,75],[76,77],[77,83],[83,84],[85,91],[92,94],[95,99],[99,100],[101,103],[104,107],[108,111],[112,115],[116,120],[121,127],[128,134],[135,151],[152,158],[159,161],[162,166],[167,170],[170,171]],"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],[26,28],[27,29],[28,30],[29,31],[30,32]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.018700122833252} +{"basename":"brandes_naturlehre01_1830","par_idx":2778,"date":1830,"orig":"Jene Abweichung heißt die groͤßere Dieſis, dieſe die kleinere Dieſis.","norm":"Jene Abweichung heißt die größere Diesis, diese die kleinere Diesis.","orig_tok":["Jene","Abweichung","heißt","die","groͤßere","Dieſis",",","dieſe","die","kleinere","Dieſis","."],"norm_tok":["Jene","Abweichung","heißt","die","größere","Diesis",",","diese","die","kleinere","Diesis","."],"orig_spans":[[0,4],[5,15],[16,21],[22,25],[26,34],[35,41],[41,42],[43,48],[49,52],[53,61],[62,68],[68,69]],"norm_spans":[[0,4],[5,15],[16,21],[22,25],[26,33],[34,40],[40,41],[42,47],[48,51],[52,60],[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],[10,10],[11,11]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"af","orig_lang_de":0.667,"norm_lmscore":5.561399936676025} +{"basename":"brandes_naturlehre01_1830","par_idx":2779,"date":1830,"orig":"Eine aͤhnliche Abweichung ergiebt der Fortgang durch reine Quinten.","norm":"Eine ähnliche Abweichung ergibt der Fortgang durch reine Quinten.","orig_tok":["Eine","aͤhnliche","Abweichung","ergiebt","der","Fortgang","durch","reine","Quinten","."],"norm_tok":["Eine","ähnliche","Abweichung","ergibt","der","Fortgang","durch","reine","Quinten","."],"orig_spans":[[0,4],[5,14],[15,25],[26,33],[34,37],[38,46],[47,52],[53,58],[59,66],[66,67]],"norm_spans":[[0,4],[5,13],[14,24],[25,31],[32,35],[36,44],[45,50],[51,56],[57,64],[64,65]],"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":6.360599994659424} +{"basename":"brandes_naturlehre01_1830","par_idx":2780,"date":1830,"orig":"Um ſie zu bezeichnen, muß ich Sie daran erinnern, daß man die Toͤne in den hoͤhern Octaven mit mehrern Strichen zu bezeichnen pflegt; die tiefſte Discant-Octave iſt die, wo man die Toͤne eingeſtrichene, c̅, d̅ u. ſ. w. nennt, die naͤchſthoͤhere die zwei geſtrichene c̿, d̿ und ſo ferner.","norm":"Um sie zu bezeichnen, muss ich Sie daran erinnern, dass man die Töne in den höheren Oktaven mit mehreren Strichen zu bezeichnen pflegt; die tiefste Discant-Octave ist die, wo man die Töne eingestrichene, c, d u. s. w. nennt, die nächsthöhere die zwei gestrichene c, d und so ferner.","orig_tok":["Um","ſie","zu","bezeichnen",",","muß","ich","Sie","daran","erinnern",",","daß","man","die","Toͤne","in","den","hoͤhern","Octaven","mit","mehrern","Strichen","zu","bezeichnen","pflegt",";","die","tiefſte","Discant-Octave","iſt","die",",","wo","man","die","Toͤne","eingeſtrichene",",","c̅",",","d̅","u.","ſ.","w.","nennt",",","die","naͤchſthoͤhere","die","zwei","geſtrichene","c̿",",","d̿","und","ſo","ferner","."],"norm_tok":["Um","sie","zu","bezeichnen",",","muss","ich","Sie","daran","erinnern",",","dass","man","die","Töne","in","den","höheren","Oktaven","mit","mehreren","Strichen","zu","bezeichnen","pflegt",";","die","tiefste","Discant-Octave","ist","die",",","wo","man","die","Töne","eingestrichene",",","c",",","d","u.","s.","w.","nennt",",","die","nächsthöhere","die","zwei","gestrichene","c",",","d","und","so","ferner","."],"orig_spans":[[0,2],[3,6],[7,9],[10,20],[20,21],[22,25],[26,29],[30,33],[34,39],[40,48],[48,49],[50,53],[54,57],[58,61],[62,67],[68,70],[71,74],[75,82],[83,90],[91,94],[95,102],[103,111],[112,114],[115,125],[126,132],[132,133],[134,137],[138,145],[146,160],[161,164],[165,168],[168,169],[170,172],[173,176],[177,180],[181,186],[187,201],[201,202],[203,205],[205,206],[207,209],[210,212],[213,215],[216,218],[219,224],[224,225],[226,229],[230,244],[245,248],[249,253],[254,265],[266,268],[268,269],[270,272],[273,276],[277,279],[280,286],[286,287]],"norm_spans":[[0,2],[3,6],[7,9],[10,20],[20,21],[22,26],[27,30],[31,34],[35,40],[41,49],[49,50],[51,55],[56,59],[60,63],[64,68],[69,71],[72,75],[76,83],[84,91],[92,95],[96,104],[105,113],[114,116],[117,127],[128,134],[134,135],[136,139],[140,147],[148,162],[163,166],[167,170],[170,171],[172,174],[175,178],[179,182],[183,187],[188,202],[202,203],[204,205],[205,206],[207,208],[209,211],[212,214],[215,217],[218,223],[223,224],[225,228],[229,241],[242,245],[246,250],[251,262],[263,264],[264,265],[266,267],[268,271],[272,274],[275,281],[281,282]],"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":3.635499954223633} +{"basename":"brandes_naturlehre01_1830","par_idx":2781,"date":1830,"orig":"Gehen wir alſo nach Quinten von C aus fort, und nehmen an, daß jeder folgende Ton (wobei ich Fis und Ges als einerlei anſehe,) nach reinen Quinten geſtimmt ſein ſollte, das heißt, jeder naͤchſt hoͤhere anderthalb Schwingungen machen ſollte, waͤhrend der naͤchſt tiefere eine macht, ſo erhielten wir C G d a e̅ h̅ fis̿ des̅̅̅ as̅̅̅ 1 [Formel] [Formel] [Formel] es̅̅̅̅ b̅̅̅̅ f̅̅̅̅̅ c̅̅̅̅̅̅ [Formel] [Formel] Nach den Octaven ſollten die Schwingungen ſein C c c̅ c̿ c̅̅̅ c̅̅̅̅ c̅̅̅̅̅ c̅̅̅̅̅̅ 1 2 4 8 16 32 64 128 = [Formel] , die reinen Quinten geben alſo beinahe auf 524 Schwingungen 7 zu viel, oder geben genau eine um [Formel] zu hohe Stimmung, und dieſe Abweichung heißt das Pythagoriſche Comma.","norm":"Gehen wir also nach Quinten von C aus fort, und nehmen an, dass jeder folgende Ton (wobei ich Fis und Ges als einerlei ansehe,) nach reinen Quinten gestimmt sein sollte, das heißt, jeder nächst höhere anderthalb Schwingungen machen sollte, während der nächst tiefere eine macht, so erhielten wir C G d a e h fis des as 1 [Formel] [Formel] [Formel] es b f c [Formel] [Formel] Nach den Oktaven sollten die Schwingungen sein C c c c c c c c 1 2 4 8 16 32 64 128 = [Formel], die reinen Quinten geben also beinahe auf 524 Schwingungen 7 zu viel, oder geben genau eine um [Formel] zu hohe Stimmung, und diese Abweichung heißt das Pythagoreische 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+{"basename":"brandes_naturlehre01_1830","par_idx":2782,"date":1830,"orig":"Dieſe Unterſchiede liegen nicht in etwas Zufaͤlligem unſrer Tonleiter oder in irgend etwas Willkuͤrlichem, ſondern ſie liegen darin, daß weder [Formel] immer mit ſich ſelbſt multiplicirt, noch [Formel] immer mit ſich ſelbſt multiplicirt, noch [Formel] immer mit ſich ſelbſt multiplicirt, je eine ganze Zahl geben kann.","norm":"Diese Unterschiede liegen nicht in etwas Zufälligem unserer Tonleiter oder in irgendetwas Willkürlichem, sondern sie liegen darin, dass weder [Formel] immer mit sich selbst multipliziert, noch [Formel] immer mit sich selbst multipliziert, noch [Formel] immer mit sich selbst multipliziert, je eine ganze Zahl geben 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+{"basename":"brandes_naturlehre01_1830","par_idx":2783,"date":1830,"orig":"Keine Tonleiter kann alſo, wenn man die Octave rein erhalten will, einen ganz reinen Fortgang in lauter Terzen oder Quinten geſtatten, und da die Reinheit der Octaven unſtreitig das Wichtigſte iſt, ſo muß man alle zwiſchenliegenden Toͤne ein wenig modificiren, damit die nicht ſtrenge rein zu erhaltenden Intervalle moͤglichſt wenig von der Reinheit abweichen.","norm":"Keine Tonleiter kann also, wenn man die Oktave rein erhalten will, einen ganz reinen Fortgang in lauter Terzen oder Quinten gestatten, und da die Reinheit der Oktaven unstreitig das Wichtigste ist, so muss man alle zwischenliegenden Töne ein wenig modifizieren, damit die nicht strenge rein zu erhaltenden Intervalle möglichst wenig von der Reinheit 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zu wenig bekannt mit dieſem Gegenſtande, unentſchieden laſſen.","norm":"Ob sich über andere Umstände, über die Grundregeln des Generalbasses etwas Gründliches aus den Schwingungsverhältnissen herleiten lässt, muss ich, zu wenig bekannt mit diesem Gegenstande, unentschieden 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e [Formel] , e̅ [Formel] Schwingungen macht, ſo iſt der ſo hervorgebrachte Ton e̿ die doppelte Octave der großen Terz; die Theilung in 6 Stuͤcke gaͤbe die doppelte Octave g̿ der Quinte; die Theilung in 7 Theile giebt einen Ton, der auf unſern Inſtrumenten mit feſten Toͤnen nicht vorkoͤmmt; wenn wir aber a̿ [Formel] Schwingungen, ais [Formel] = 7 - [Formel] beilegen, ſo iſt dieſer der Theilung in Siebtel entſprechende Ton dem Ais ziemlich nahe und liegt zwiſchen ihm und b; er iſt der erſte, der nicht in der Tonleiter vorkommt.","norm":"Ferner wenn die Saite sich in fünf gleiche Teile zerlegt, macht jeder Teil 5 Schwingungen, während der Grundton c eine macht; da nun e [Formel], e [Formel] Schwingungen macht, so ist der so hervorgebrachte Ton e die doppelte Oktave der großen Terz; die Teilung in 6 Stücke gäbe die doppelte Oktave g der Quinte; die Teilung in 7 Teile gibt einen Ton, der auf unseren Instrumenten mit festen Tönen nicht vorkommt; wenn wir aber a [Formel] Schwingungen, ais 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mancherlei Theilungen der Saiten die naͤchſten harmonirenden Toͤne hervorbringt, ſo entſteht das angenehme harmoniſche Getoͤn, welches freilich ſeinen groͤßten Reitz durch das abwechſelnde Anſchwellen und Verklingen der Toͤne bei zunehmendem oder abnehmendem Luftzuge erhaͤlt; aber doch die Harmonie aller Toͤne dem Umſtande verdankt, daß die Saiten ſich nur in ſolche Theile theilen koͤnnen.","norm":"Bei ihr müssen alle Saiten genau unison gestimmt werden, und da der auf die Saiten treffende Windzug bald den Grundton, bald durch mancherlei Teilungen der Saiten die nächsten harmonierenden Töne hervorbringt, so entsteht das angenehme harmonische Getöne, welches freilich seinen größten Reiz durch das abwechselnde Anschwellen und Verklingen der Töne bei zunehmendem oder abnehmendem Luftzuge erhält; aber doch die Harmonie aller Töne dem Umstande verdankt, dass die Saiten sich nur in solche Teile teilen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2814,"date":1830,"orig":"Der zweite Ton geht ſehr oft von ſelbſt beim bloßen Anſchlagen hervor.","norm":"Der zweite Ton geht sehr oft von selbst beim bloßen Anschlagen hervor.","orig_tok":["Der","zweite","Ton","geht","ſehr","oft","von","ſelbſt","beim","bloßen","Anſchlagen","hervor","."],"norm_tok":["Der","zweite","Ton","geht","sehr","oft","von","selbst","beim","bloßen","Anschlagen","hervor","."],"orig_spans":[[0,3],[4,10],[11,14],[15,19],[20,24],[25,28],[29,32],[33,39],[40,44],[45,51],[52,62],[63,69],[69,70]],"norm_spans":[[0,3],[4,10],[11,14],[15,19],[20,24],[25,28],[29,32],[33,39],[40,44],[45,51],[52,62],[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],[10,10],[11,11],[12,12]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.152699947357178} +{"basename":"brandes_naturlehre01_1830","par_idx":2815,"date":1830,"orig":"Schwingungszeiten fuͤr jeden Ton.","norm":"Schwingungszeiten für jeden Ton.","orig_tok":["Schwingungszeiten","fuͤr","jeden","Ton","."],"norm_tok":["Schwingungszeiten","für","jeden","Ton","."],"orig_spans":[[0,17],[18,22],[23,28],[29,32],[32,33]],"norm_spans":[[0,17],[18,21],[22,27],[28,31],[31,32]],"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":4.472499847412109} +{"basename":"brandes_naturlehre01_1830","par_idx":2816,"date":1830,"orig":"Ich habe bisher die Frage, wie viele Schwingungen denn einem beſtimmten Tone entſprechen, noch nicht genuͤgend beantwortet.","norm":"Ich habe bisher die Frage, wie viele Schwingungen denn einem bestimmten Tone entsprechen, noch nicht genügend 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+{"basename":"brandes_naturlehre01_1830","par_idx":2817,"date":1830,"orig":"Außer dem von Chladni empfolnen Mittel, die Schwingungen eines laͤngern Stabes abzuzaͤhlen, und daraus die in einer Secunde ſtatt findende Schwingungszahl eines kuͤrzern Stabes, der ſchon einen durch das Ohr beſtimmbaren Ton giebt, zu berechnen, wird uns nachher die Orgelpfeife noch ein andres Mittel geben, die wahre Schwingungszahl eines gegebnen Tones zu beſtimmen.","norm":"Außer dem von Chladni empfohlenen Mittel, die Schwingungen eines längeren Stabes abzuzählen, und daraus die in einer Sekunde statt findende Schwingungszahl eines kürzeren Stabes, der schon einen durch das Ohr bestimmbaren Ton gibt, zu berechnen, wird uns nachher die Orgelpfeife noch ein anderes Mittel geben, die wahre Schwingungszahl eines gegebenen Tones zu 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durch regelmaͤßige Unterbrechungen nur in wechſelnden Abſaͤtzen hervordringen kann.","norm":"Da es bei Hervorbringung des Tones nur einer in genau gleich abgemessenen Zeiträumen immer wiederkehrenden gleichen Vibration bedarf, so erhält man einen Ton, wenn ein gleichmäßig herandringender Luftstrom durch regelmäßige Unterbrechungen nur in wechselnden Absätzen hervordringen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2828,"date":1830,"orig":"Wir ſind nicht im Stande theoretiſch anzugeben, welchen Ton eine Glocke von gegebner Geſtalt hervorbringen wird, und ſelbſt die verſchiedenen Toͤne, deren eine und dieſelbe Glocke faͤhig iſt, und die ſehr oft vermiſcht unſer Ohr treffen, ſind wir nicht im Stande ganz genau zu beſtimmen.","norm":"Wir sind nicht im Stande theoretisch anzugeben, welchen Ton eine Glocke von gegebener Gestalt hervorbringen wird, und selbst die verschiedenen Töne, deren eine und dieselbe Glocke fähig ist, und die sehr oft vermischt unser Ohr treffen, sind wir nicht im Stande ganz genau zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2829,"date":1830,"orig":"— Wenn wir ein recht gut toͤnendes Glas nach und nach mit Waſſer oder Wein fuͤllen, ſo wird der Ton, welchen es beim Anſchlagen giebt, immer tiefer; der Unterſchied iſt zuerſt wenig merklich, wenn der Boden noch nicht hoch bedeckt iſt, aber wenn die Fuͤllung ſich mehr und mehr dem Rande naͤhert, ſo macht eine geringe Vermehrung der Quantitaͤt den Ton ſchon merklich tiefer.","norm":"— Wenn wir ein recht gut tönendes Glas nach und nach mit Wasser oder Wein füllen, so wird der Ton, welchen es beim Anschlagen gibt, immer tiefer; der Unterschied ist zuerst wenig merklich, wenn der Boden noch nicht hoch bedeckt ist, aber wenn die Füllung sich mehr und mehr dem Rande nähert, so macht eine geringe Vermehrung der Quantität den Ton schon merklich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2830,"date":1830,"orig":"Der Grund hievon iſt offenbar der, daß mehr Maſſentheile in Bewegung geſetzt werden muͤſſen, und deshalb die Vibrationen nicht die ganze Schnelligkeit mehr erreichen.","norm":"Der Grund hiervon ist offenbar der, dass mehr Massenteile in Bewegung gesetzt werden müssen, und deshalb die Vibrationen nicht die ganze Schnelligkeit mehr 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+{"basename":"brandes_naturlehre01_1830","par_idx":2831,"date":1830,"orig":"Fuͤllt man das Glas mit Queckſilber, ſo iſt es nicht zum Toͤnen zu bringen; aber auch eine minder ſchwere Fluͤſſigkeit, Bier zum Beiſpiel, hindert das Toͤnen, theils weil es nicht ſo vollkommen fluͤſſig, theils weil es wegen der aufſteigenden Blaͤschen nicht ganz gleichartig iſt .","norm":"Füllt man das Glas mit Quecksilber, so ist es nicht zum Tönen zu bringen; aber auch eine minder schwere Flüssigkeit, Bier zum Beispiel, hindert das Tönen, teils weil es nicht so vollkommen flüssig, teils weil es wegen der aufsteigenden Bläschen nicht ganz gleichartig 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erſten Augenblicke, wo recht viele Blaͤschen ſich entwickeln, an, ſo iſt der Klang ſchlecht, nachher iſt er wieder beſſer.","norm":"Man tue Wasser in ein gut klingendes Glas und lege auf den Boden ein Stückchen Kreide; gießt man nun Schwefelsäure zu und schlägt im ersten Augenblicke, wo recht viele Bläschen sich entwickeln, an, so ist der Klang schlecht, nachher ist er wieder 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+{"basename":"brandes_naturlehre01_1830","par_idx":2836,"date":1830,"orig":"So wenig es uns naͤmlich auch moͤglich iſt, ſelbſt fuͤr ebne Scheiben, und ſelbſt fuͤr Scheiben von der einfachſten Form, die Geſetze, wie ſie vibriren, vollſtaͤndig anzugeben, ſo bietet uns doch Chladni's Entdeckung, daß man die Verſchiedenheit der Schwingungen an Scheiben dem Auge ſichtbar machen kann, ein wichtiges Mittel zur Belehrung dar.","norm":"So wenig es uns nämlich auch möglich ist, selbst für ebne Scheiben, und selbst für Scheiben von der einfachsten Form, die Gesetze, wie sie vibrieren, vollständig anzugeben, so bietet uns doch Chladnis Entdeckung, dass man die Verschiedenheit der Schwingungen an Scheiben dem Auge sichtbar machen kann, ein wichtiges Mittel zur Belehrung 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+{"basename":"brandes_naturlehre01_1830","par_idx":2861,"date":1830,"orig":"Um hier nur einige der Klangfiguren zu erwaͤhnen, die man ohne große Schwierigkeit zu erhalten pflegt, und die man auf jeder reinen Glasſcheibe leicht ſelbſt darſtellen kann, verweile ich nur bei der Quadratſcheibe und bei der Kreisſcheibe.","norm":"Um hier nur einige der Klangfiguren zu erwähnen, die man ohne große Schwierigkeit zu erhalten pflegt, und die man auf jeder reinen Glasscheibe leicht selbst darstellen kann, verweile ich nur bei der Quadratscheibe und bei der 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+{"basename":"brandes_naturlehre01_1830","par_idx":2894,"date":1830,"orig":"Um einen Kreis mit zwei auf einander ſenkrechten Durchmeſſern zu erhalten, befeſtigt man die Scheibe da, wo ein Durchmeſſer den Kreis ſchneiden ſoll, und ſtreicht 45 Grade von dieſer Stelle entfernt.","norm":"Um einen Kreis mit zwei aufeinander senkrechten Durchmessern zu erhalten, befestigt man die Scheibe da, wo ein Durchmesser den Kreis schneiden soll, und streicht 45 Grade von dieser Stelle 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+{"basename":"brandes_naturlehre01_1830","par_idx":2895,"date":1830,"orig":"Der Ton iſt beinahe um eine kleine Septime hoͤher als bei der vorigen Figur.","norm":"Der Ton ist beinahe um eine kleine Septime höher als bei der vorigen Figur.","orig_tok":["Der","Ton","iſt","beinahe","um","eine","kleine","Septime","hoͤher","als","bei","der","vorigen","Figur","."],"norm_tok":["Der","Ton","ist","beinahe","um","eine","kleine","Septime","höher","als","bei","der","vorigen","Figur","."],"orig_spans":[[0,3],[4,7],[8,11],[12,19],[20,22],[23,27],[28,34],[35,42],[43,49],[50,53],[54,57],[58,61],[62,69],[70,75],[75,76]],"norm_spans":[[0,3],[4,7],[8,11],[12,19],[20,22],[23,27],[28,34],[35,42],[43,48],[49,52],[53,56],[57,60],[61,68],[69,74],[74,75]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.191800117492676} +{"basename":"brandes_naturlehre01_1830","par_idx":2896,"date":1830,"orig":"Dieſe Figuren moͤgen hier genuͤgen; ich bemerke nur noch, daß man nicht glauben darf, bei dem Feſtſtellen der Platte in einem beſtimmten Puncte und dem Streichen in einem andern beſtimmten Puncte gewiß eine beſtimmte Figur zu erhalten.","norm":"Diese Figuren mögen hier genügen; ich bemerke nur noch, dass man nicht glauben darf, bei dem Feststellen der Platte in einem bestimmten Punkte und dem Streichen in einem anderen bestimmten Punkte gewiss eine bestimmte Figur zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2897,"date":1830,"orig":"Geſtattet die Scheibe unter jenen Umſtaͤnden mehr als einen Ton, ſo giebt ſie auch verſchiedene Figuren; hat man aber bei einem gewiſſen Tone eine beſtimmte Figur hervorgehen ſehen, ſo muß man auf dieſen Ton horchen, und wenn er beim leiſen Anfangen des Streichens hervorgeht, ihn ſo hell als moͤglich hervorzubringen ſuchen; hat man wirklich denſelben Ton, waͤhrend der feſtgehaltne Punct und der geſtrichene Punct auch dieſelben ſind, ſo geht auch die gleiche Figur hervor.","norm":"Gestattet die Scheibe unter jenen Umständen mehr als einen Ton, so gibt sie auch verschiedene Figuren; hat man aber bei einem gewissen Tone eine bestimmte Figur hervorgehen sehen, so muss man auf diesen Ton horchen, und wenn er beim leisen Anfangen des Streichens hervorgeht, ihn so hell als möglich hervorzubringen suchen; hat man wirklich denselben Ton, während der festgehaltene Punkt und der gestrichene Punkt auch dieselben sind, so geht auch die gleiche Figur 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+{"basename":"brandes_naturlehre01_1830","par_idx":2898,"date":1830,"orig":"Wenn man ſtatt des feinen Sandes Waſſertropfen auf verſchiedene Puncte der Platte anbringt, ſo ſieht man auf dieſen feine Wellen entſtehen, wenn ſie nicht auf Knotenlinien ſind, dort hingegen bleiben ſie ruhig.","norm":"Wenn man statt des feinen Sandes Wassertropfen auf verschiedene Punkte der Platte anbringt, so sieht man auf diesen feine Wellen entstehen, wenn sie nicht auf Knotenlinien sind, dort hingegen bleiben sie 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+{"basename":"brandes_naturlehre01_1830","par_idx":2899,"date":1830,"orig":"Bedeckt man groͤßere Theile der Platte mit einer Waſſerſchichte, ſo ſieht man die zarten Wellen ſich uͤber einige Theile der Platte ausbreiten, waͤhrend das Waſſer da, wo Knotenlinien ſind, ruhig bleibt.","norm":"Bedeckt man größere Teile der Platte mit einer Wasserschichte, so sieht man die zarten Wellen sich über einige Teile der Platte ausbreiten, während das Wasser da, wo Knotenlinien sind, ruhig bleibt.","orig_tok":["Bedeckt","man","groͤßere","Theile","der","Platte","mit","einer","Waſſerſchichte",",","ſo","ſieht","man","die","zarten","Wellen","ſich","uͤber","einige","Theile","der","Platte","ausbreiten",",","waͤhrend","das","Waſſer","da",",","wo","Knotenlinien","ſind",",","ruhig","bleibt","."],"norm_tok":["Bedeckt","man","größere","Teile","der","Platte","mit","einer","Wasserschichte",",","so","sieht","man","die","zarten","Wellen","sich","über","einige","Teile","der","Platte","ausbreiten",",","während","das","Wasser","da",",","wo","Knotenlinien","sind",",","ruhig","bleibt","."],"orig_spans":[[0,7],[8,11],[12,20],[21,27],[28,31],[32,38],[39,42],[43,48],[49,63],[63,64],[65,67],[68,73],[74,77],[78,81],[82,88],[89,95],[96,100],[101,106],[107,113],[114,120],[121,124],[125,131],[132,142],[142,143],[144,152],[153,156],[157,163],[164,166],[166,167],[168,170],[171,183],[184,188],[188,189],[190,195],[196,202],[202,203]],"norm_spans":[[0,7],[8,11],[12,19],[20,25],[26,29],[30,36],[37,40],[41,46],[47,61],[61,62],[63,65],[66,71],[72,75],[76,79],[80,86],[87,93],[94,98],[99,103],[104,110],[111,116],[117,120],[121,127],[128,138],[138,139],[140,147],[148,151],[152,158],[159,161],[161,162],[163,165],[166,178],[179,183],[183,184],[185,190],[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],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.014299869537353} +{"basename":"brandes_naturlehre01_1830","par_idx":2900,"date":1830,"orig":"Je hoͤher der Ton iſt, deſto feiner iſt dieſe Wellenfolge, die, wie eine Schattirung, ganze Theile der Flaͤche bedeckt.","norm":"Je höher der Ton ist, desto feiner ist diese Wellenfolge, die, wie eine Schattierung, ganze Teile der Fläche 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+{"basename":"brandes_naturlehre01_1830","par_idx":2922,"date":1830,"orig":"Die Schnelligkeit dieſer Fortpflanzung wird nicht durch die mehr oder mindere Staͤrke des Schalles beſtimmt, ſondern durch die Elaſticitaͤt der Luft-Art, in welcher der Schall ſich fortpflanzt.","norm":"Die Schnelligkeit dieser Fortpflanzung wird nicht durch die mehr oder mindere Stärke des Schalles bestimmt, sondern durch die Elastizität der Luftart, in welcher der Schall sich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2923,"date":1830,"orig":"Wenn es Luft- Arten giebt, die bei gleicher Dichtigkeit mehr ausdehnende Kraft beſitzen, ſo muß in dieſen der Schall ſich ſchneller fortpflanzen; denn wegen der gleichen Dichtigkeit iſt in jedem einzelnen, in Bewegung zu ſetzenden Theilchen die Maſſe gleich, die bewegende Kraft aber, mit welcher das zuſammengedruͤckte Theilchen das benachbarte forttreibt, groͤßer in der mehr elaſtiſchen Luft.","norm":"Wenn es Luft-Arten gibt, die bei gleicher Dichtigkeit mehr ausdehnende Kraft besitzen, so muss in diesen der Schall sich schneller fortpflanzen; denn wegen der gleichen Dichtigkeit ist in jedem einzelnen, in Bewegung zu setzenden Teilchen die Masse gleich, die bewegende Kraft aber, mit welcher das zusammengedrückte Teilchen das benachbarte forttreibt, größer in der mehr elastischen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2924,"date":1830,"orig":"Waͤre dieſe Ausdehnungskraft in einem Falle viermal ſo groß als im andern, ſo waͤre die auf jedes Theilchen wirkende beſchleunigende Kraft viermal ſo groß; wir wiſſen aber, daß einer vierfachen Kraft eben der Raum des fortbewegten Koͤrpers in 1 Sec. entſpricht, durch welchen die viermal geringere Kraft ihn in 2 Sec. forttreiben wuͤrde; die Geſchwindigkeit des Schalles iſt alſo doppelt ſo groß in viermal ſo elaſtiſcher Luft, und uͤberhaupt den Quadratwurzeln aus den ſpecifiſchen Elaſticitaͤten, (aus den bei gleicher Dichtigkeit ſtatt findenden Elaſticitaͤten) proportional.","norm":"Wäre diese Ausdehnungskraft in einem Falle viermal so groß als im anderen, so wäre die auf jedes Teilchen wirkende beschleunigende Kraft viermal so groß; wir wissen aber, dass einer vierfachen Kraft eben der Raum des fortbewegten Körpers in 1 Sec . entspricht, durch welchen die viermal geringere Kraft ihn in 2 Sec . forttreiben würde; die Geschwindigkeit des Schalles ist also doppelt so groß in viermal so elastischer Luft, und überhaupt den Quadratwurzeln aus den spezifischen Elastizitäten, (aus den bei gleicher Dichtigkeit statt findenden Elastizitäten) 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+{"basename":"brandes_naturlehre01_1830","par_idx":2932,"date":1830,"orig":"Wenn man annimmt, daß auch bei den hoͤchſt geringen, auf die kleinſten Zeitmomente beſchraͤnkten Wechſeln der Verdichtung und Verduͤnnung der Luft, ſo wie ſie bei den Schallwellen ſtatt finden, das Mariotte'ſche Geſetz ſtrenge richtig bleibt, ſo findet man nur 880 Fuß, als den Raum, welchen der Schall in 1 Secunde durchlaufen ſollte; alſo viel zu wenig.","norm":"Wenn man annimmt, dass auch bei den höchst geringen, auf die kleinsten Zeitmomente beschränkten Wechseln der Verdichtung und Verdünnung der Luft, so wie sie bei den Schallwellen stattfinden, das Mariotte'sche Gesetz strenge richtig bleibt, so findet man nur 880 Fuß, als den Raum, welchen der Schall in 1 Sekunde durchlaufen sollte; also viel zu 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Ebenſo wuͤrden wir eine ploͤtzlich verduͤnnte Luft ihren Druck nicht bloß im Verhaͤltniß der Dichtigkeit aͤndern ſehen, ſondern ſie wuͤrde, wegen der bei der Verduͤnnung entſtehenden Kaͤlte, weit geringeren Druck zeigen.","norm":"Hätten wir dagegen Mittel, um einen ähnlichen Versuch über den von doppelt so dichter Luft ausgeübten Druck so schnell auszuführen, dass wir sehr plötzlich die Verdichtung zum Doppelten hervorbrächten, und in demselben Augenblicke den ausgeübten Druck wahrnähmen, so würden wir diesen sehr viel größer als das Doppelte des vorigen Druckes finden; weil eine plötzliche Verdichtung allemal mit Erhitzung verbunden ist . Ebenso würden wir eine plötzlich verdünnte Luft ihren Druck nicht bloß im Verhältnis der Dichtigkeit ändern sehen, sondern sie würde, wegen der bei der Verdünnung entstehenden Kälte, weit geringeren Druck 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+{"basename":"brandes_naturlehre01_1830","par_idx":2936,"date":1830,"orig":"Um dies nur an einer ungefehren Rechnung zu zeigen, will ich annehmen, bei einer Compreſſion zur zehnfachen Dichtigkeit der Luft ſteige die Waͤrme um 100 R. Grade, ſo ſollte wegen der Verdichtung die Elaſticitaͤt, die Verſtaͤrkung des Druckes, auf das Zehnfache ſteigen; aber eine auf 100 Grad erwaͤrmte Luft hat faſt doppelt ſo große Elaſticitaͤt, und dieſe iſt daher auf das Zwanzigfache gewachſen, waͤhrend die Dichtigkeit nur auf das Zehnfache waͤchſt.","norm":"Um dies nur an einer ungefähren Rechnung zu zeigen, will ich annehmen, bei einer Kompression zur zehnfachen Dichtigkeit der Luft steige die Wärme um 100 R. Grade, so sollte wegen der Verdichtung die Elastizität, die Verstärkung des Druckes, auf das Zehnfache steigen; aber eine auf 100 Grad erwärmte Luft hat fast doppelt so große Elastizität, und diese ist daher auf das Zwanzigfache gewachsen, während die Dichtigkeit nur auf das Zehnfache 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bei den Schallvibrationen höchst geringe sind, dennoch, wegen der stärker als die Dichtigkeit wachsenden Elastizität der Luft, die Geschwindigkeit des Schalles viel größer sein muss, als bei strenger Anwendbarkeit des Mariotteschen Gesetzes 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Atmoſphaͤre aufſteigenden waͤrmeren Luftſtroͤme eine Ungleichfoͤrmigkeit hervorbringen, die der Fortpflanzung des Schalles hinderlich iſt.","norm":"Es scheint, dass die bei Tage in der Atmosphäre aufsteigenden wärmeren Luftströme eine Ungleichförmigkeit hervorbringen, die der Fortpflanzung des Schalles hinderlich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2956,"date":1830,"orig":"Man hat Angaben von noch groͤßern Entfernungen, die mir aber kaum glaublich vorkommen.","norm":"Man hat Angaben von noch größeren Entfernungen, die mir aber kaum glaublich 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+{"basename":"brandes_naturlehre01_1830","par_idx":2962,"date":1830,"orig":"Entfernt man ſich aber weiter vom Echo nach dem Orte zu, wo der Schall her kam, ſo unterſcheidet man deutlich den das Ohr in grader Richtung treffenden Schall und den nach einiger Zeit erſt, von dem das Echo gebenden Koͤrper zuruͤckkommenden Schall; iſt man 500 Fuß entfernt, ſo vergeht zwiſchen beiden Schall-Eindruͤcken etwa 1 Secunde, weil der Schall ½ Secunde brauchte, um von uns bis zu dem Gegenſtande zu gelangen und ½ Secunde, um wieder zuruͤckzukommen.","norm":"Entfernt man sich aber weiter vom Echo nach dem Orte zu, wo der Schall herkam, so unterscheidet man deutlich den das Ohr in gerader Richtung treffenden Schall und den nach einiger Zeit erst, von dem das Echo gebenden Körper zurückkommenden Schall; ist man 500 Fuß entfernt, so vergeht zwischen beiden Schall-Eindrücken etwa 1 Sekunde, weil der Schall ½ Sekunde brauchte, um von uns bis zu dem Gegenstande zu gelangen und ½ Sekunde, um wieder zurückzukommen.","orig_tok":["Entfernt","man","ſich","aber","weiter","vom","Echo","nach","dem","Orte","zu",",","wo","der","Schall","her","kam",",","ſo","unterſcheidet","man","deutlich","den","das","Ohr","in","grader","Richtung","treffenden","Schall","und","den","nach","einiger","Zeit","erſt",",","von","dem","das","Echo","gebenden","Koͤrper","zuruͤckkommenden","Schall",";","iſt","man","500","Fuß","entfernt",",","ſo","vergeht","zwiſchen","beiden","Schall-Eindruͤcken","etwa","1","Secunde",",","weil","der","Schall","½","Secunde","brauchte",",","um","von","uns","bis","zu","dem","Gegenſtande","zu","gelangen","und","½","Secunde",",","um","wieder","zuruͤckzukommen","."],"norm_tok":["Entfernt","man","sich","aber","weiter","vom","Echo","nach","dem","Orte","zu",",","wo","der","Schall","herkam",",","so","unterscheidet","man","deutlich","den","das","Ohr","in","gerader","Richtung","treffenden","Schall","und","den","nach","einiger","Zeit","erst",",","von","dem","das","Echo","gebenden","Körper","zurückkommenden","Schall",";","ist","man","500","Fuß","entfernt",",","so","vergeht","zwischen","beiden","Schall-Eindrücken","etwa","1","Sekunde",",","weil","der","Schall","½","Sekunde","brauchte",",","um","von","uns","bis","zu","dem","Gegenstande","zu","gelangen","und","½","Sekunde",",","um","wieder","zurückzukommen","."],"orig_spans":[[0,8],[9,12],[13,17],[18,22],[23,29],[30,33],[34,38],[39,43],[44,47],[48,52],[53,55],[55,56],[57,59],[60,63],[64,70],[71,74],[75,78],[78,79],[80,82],[83,96],[97,100],[101,109],[110,113],[114,117],[118,121],[122,124],[125,131],[132,140],[141,151],[152,158],[159,162],[163,166],[167,171],[172,179],[180,184],[185,189],[189,190],[191,194],[195,198],[199,202],[203,207],[208,216],[217,224],[225,241],[242,248],[248,249],[250,253],[254,257],[258,261],[262,265],[266,274],[274,275],[276,278],[279,286],[287,295],[296,302],[303,321],[322,326],[327,328],[329,336],[336,337],[338,342],[343,346],[347,353],[354,355],[356,363],[364,372],[372,373],[374,376],[377,380],[381,384],[385,388],[389,391],[392,395],[396,407],[408,410],[411,419],[420,423],[424,425],[426,433],[433,434],[435,437],[438,444],[445,460],[460,461]],"norm_spans":[[0,8],[9,12],[13,17],[18,22],[23,29],[30,33],[34,38],[39,43],[44,47],[48,52],[53,55],[55,56],[57,59],[60,63],[64,70],[71,77],[77,78],[79,81],[82,95],[96,99],[100,108],[109,112],[113,116],[117,120],[121,123],[124,131],[132,140],[141,151],[152,158],[159,162],[163,166],[167,171],[172,179],[180,184],[185,189],[189,190],[191,194],[195,198],[199,202],[203,207],[208,216],[217,223],[224,239],[240,246],[246,247],[248,251],[252,255],[256,259],[260,263],[264,272],[272,273],[274,276],[277,284],[285,293],[294,300],[301,318],[319,323],[324,325],[326,333],[333,334],[335,339],[340,343],[344,350],[351,352],[353,360],[361,369],[369,370],[371,373],[374,377],[378,381],[382,385],[386,388],[389,392],[393,404],[405,407],[408,416],[417,420],[421,422],[423,430],[430,431],[432,434],[435,441],[442,456],[456,457]],"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],[16,15],[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],[49,48],[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],[65,64],[66,65],[67,66],[68,67],[69,68],[70,69],[71,70],[72,71],[73,72],[74,73],[75,74],[76,75],[77,76],[78,77],[79,78],[80,79],[81,80],[82,81],[83,82],[84,83]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.783499956130981} +{"basename":"brandes_naturlehre01_1830","par_idx":2963,"date":1830,"orig":"Hievon haͤngt zum Theil die Moͤglichkeit, daß ein Echo mehrere Sylben wiederhole, ab, indem dies bei zu geringer Entfernung nicht moͤglich iſt; aber damit das Echo rein ſei, muß auch der Gegenſtand den Schall ganz genau in ſeiner unveraͤnderten Beſchaffenheit zuruͤckwerfen.","norm":"Hiervon hängt zum Teil die Möglichkeit, dass ein Echo mehrere Silben wiederhole, ab, indem dies bei zu geringer Entfernung nicht möglich ist; aber damit das Echo rein sei, muss auch der Gegenstand den Schall ganz genau in seiner unveränderten Beschaffenheit zurückwerfen.","orig_tok":["Hievon","haͤngt","zum","Theil","die","Moͤglichkeit",",","daß","ein","Echo","mehrere","Sylben","wiederhole",",","ab",",","indem","dies","bei","zu","geringer","Entfernung","nicht","moͤglich","iſt",";","aber","damit","das","Echo","rein","ſei",",","muß","auch","der","Gegenſtand","den","Schall","ganz","genau","in","ſeiner","unveraͤnderten","Beſchaffenheit","zuruͤckwerfen","."],"norm_tok":["Hiervon","hängt","zum","Teil","die","Möglichkeit",",","dass","ein","Echo","mehrere","Silben","wiederhole",",","ab",",","indem","dies","bei","zu","geringer","Entfernung","nicht","möglich","ist",";","aber","damit","das","Echo","rein","sei",",","muss","auch","der","Gegenstand","den","Schall","ganz","genau","in","seiner","unveränderten","Beschaffenheit","zurückwerfen","."],"orig_spans":[[0,6],[7,13],[14,17],[18,23],[24,27],[28,40],[40,41],[42,45],[46,49],[50,54],[55,62],[63,69],[70,80],[80,81],[82,84],[84,85],[86,91],[92,96],[97,100],[101,103],[104,112],[113,123],[124,129],[130,138],[139,142],[142,143],[144,148],[149,154],[155,158],[159,163],[164,168],[169,172],[172,173],[174,177],[178,182],[183,186],[187,197],[198,201],[202,208],[209,213],[214,219],[220,222],[223,229],[230,244],[245,259],[260,273],[273,274]],"norm_spans":[[0,7],[8,13],[14,17],[18,22],[23,26],[27,38],[38,39],[40,44],[45,48],[49,53],[54,61],[62,68],[69,79],[79,80],[81,83],[83,84],[85,90],[91,95],[96,99],[100,102],[103,111],[112,122],[123,128],[129,136],[137,140],[140,141],[142,146],[147,152],[153,156],[157,161],[162,166],[167,170],[170,171],[172,176],[177,181],[182,185],[186,196],[197,200],[201,207],[208,212],[213,218],[219,221],[222,228],[229,242],[243,257],[258,270],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.438700199127197} +{"basename":"brandes_naturlehre01_1830","par_idx":2964,"date":1830,"orig":"Dies iſt der Umſtand, durch welchen es ohne Zweifel geſchieht, daß zuweilen ſelbſt unter guͤnſtig ſcheinenden Umſtaͤnden kein Echo gehoͤrt wird, weil es naͤmlich nicht allein auf die Lage der Gegenſtaͤnde ankommt.","norm":"Dies ist der Umstand, durch welchen es ohne Zweifel geschieht, dass zuweilen selbst unter günstig scheinenden Umständen kein Echo gehört wird, weil es nämlich nicht allein auf die Lage der Gegenstände ankommt.","orig_tok":["Dies","iſt","der","Umſtand",",","durch","welchen","es","ohne","Zweifel","geſchieht",",","daß","zuweilen","ſelbſt","unter","guͤnſtig","ſcheinenden","Umſtaͤnden","kein","Echo","gehoͤrt","wird",",","weil","es","naͤmlich","nicht","allein","auf","die","Lage","der","Gegenſtaͤnde","ankommt","."],"norm_tok":["Dies","ist","der","Umstand",",","durch","welchen","es","ohne","Zweifel","geschieht",",","dass","zuweilen","selbst","unter","günstig","scheinenden","Umständen","kein","Echo","gehört","wird",",","weil","es","nämlich","nicht","allein","auf","die","Lage","der","Gegenstände","ankommt","."],"orig_spans":[[0,4],[5,8],[9,12],[13,20],[20,21],[22,27],[28,35],[36,38],[39,43],[44,51],[52,61],[61,62],[63,66],[67,75],[76,82],[83,88],[89,97],[98,109],[110,120],[121,125],[126,130],[131,138],[139,143],[143,144],[145,149],[150,152],[153,161],[162,167],[168,174],[175,178],[179,182],[183,187],[188,191],[192,204],[205,212],[212,213]],"norm_spans":[[0,4],[5,8],[9,12],[13,20],[20,21],[22,27],[28,35],[36,38],[39,43],[44,51],[52,61],[61,62],[63,67],[68,76],[77,83],[84,89],[90,97],[98,109],[110,119],[120,124],[125,129],[130,136],[137,141],[141,142],[143,147],[148,150],[151,158],[159,164],[165,171],[172,175],[176,179],[180,184],[185,188],[189,200],[201,208],[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],[27,27],[28,28],[29,29],[30,30],[31,31],[32,32],[33,33],[34,34],[35,35]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.4842000007629395} +{"basename":"brandes_naturlehre01_1830","par_idx":2965,"date":1830,"orig":"Es iſt wohl ganz gewiß, daß das Echo da am reinſten entſteht, wo der zuruͤckwerfende Gegenſtand geeignet iſt, ganz aͤhnliche Vibrationen anzunehmen, wie die ſind, die er empfing, oder wenigſtens nicht, durch die antreffenden Lufttheilchen in Vibration geſetzt, eine zu ungleichartige Vibration erhalte.","norm":"Es ist wohl ganz gewiss, dass das Echo da am reinsten entsteht, wo der zurückwerfende Gegenstand geeignet ist, ganz ähnliche Vibrationen anzunehmen, wie die sind, die er empfing, oder wenigstens nicht, durch die antreffenden Luftteilchen in Vibration gesetzt, eine zu ungleichartige Vibration erhalte.","orig_tok":["Es","iſt","wohl","ganz","gewiß",",","daß","das","Echo","da","am","reinſten","entſteht",",","wo","der","zuruͤckwerfende","Gegenſtand","geeignet","iſt",",","ganz","aͤhnliche","Vibrationen","anzunehmen",",","wie","die","ſind",",","die","er","empfing",",","oder","wenigſtens","nicht",",","durch","die","antreffenden","Lufttheilchen","in","Vibration","geſetzt",",","eine","zu","ungleichartige","Vibration","erhalte","."],"norm_tok":["Es","ist","wohl","ganz","gewiss",",","dass","das","Echo","da","am","reinsten","entsteht",",","wo","der","zurückwerfende","Gegenstand","geeignet","ist",",","ganz","ähnliche","Vibrationen","anzunehmen",",","wie","die","sind",",","die","er","empfing",",","oder","wenigstens","nicht",",","durch","die","antreffenden","Luftteilchen","in","Vibration","gesetzt",",","eine","zu","ungleichartige","Vibration","erhalte","."],"orig_spans":[[0,2],[3,6],[7,11],[12,16],[17,22],[22,23],[24,27],[28,31],[32,36],[37,39],[40,42],[43,51],[52,60],[60,61],[62,64],[65,68],[69,84],[85,95],[96,104],[105,108],[108,109],[110,114],[115,124],[125,136],[137,147],[147,148],[149,152],[153,156],[157,161],[161,162],[163,166],[167,169],[170,177],[177,178],[179,183],[184,194],[195,200],[200,201],[202,207],[208,211],[212,224],[225,238],[239,241],[242,251],[252,259],[259,260],[261,265],[266,268],[269,283],[284,293],[294,301],[301,302]],"norm_spans":[[0,2],[3,6],[7,11],[12,16],[17,23],[23,24],[25,29],[30,33],[34,38],[39,41],[42,44],[45,53],[54,62],[62,63],[64,66],[67,70],[71,85],[86,96],[97,105],[106,109],[109,110],[111,115],[116,124],[125,136],[137,147],[147,148],[149,152],[153,156],[157,161],[161,162],[163,166],[167,169],[170,177],[177,178],[179,183],[184,194],[195,200],[200,201],[202,207],[208,211],[212,224],[225,237],[238,240],[241,250],[251,258],[258,259],[260,264],[265,267],[268,282],[283,292],[293,300],[300,301]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.496500015258789} +{"basename":"brandes_naturlehre01_1830","par_idx":2966,"date":1830,"orig":"Die mehrmaligen Wiederholungen deſſelben Lautes beim Echo entſtehen ſehr oft ganz deutlich daher, daß ein Zuruͤckwerfen zuerſt von naͤheren, dann von entfernteren Puncten zum Ohre gelangt, zuweilen aber koͤnnen ſie auch, im minder freien Raume, dadurch hervorgebracht werden, daß zuerſt die gradezu zu einem gewiſſen Puncte gelangenden Schallwellen, ſpaͤter aber die von andern Puncten zuruͤckgeworfenen und ſo nach mehreren Zuruͤckwerfungen zum Ohre gelangenden Laute gehoͤrt werden.","norm":"Die mehrmaligen Wiederholungen desselben Lautes beim Echo entstehen sehr oft ganz deutlich daher, dass ein Zurückwerfen zuerst von näheren, dann von entfernteren Punkten zum Ohr gelangt, zuweilen aber können sie auch, im minder freien Raume, dadurch hervorgebracht werden, dass zuerst die geradezu zu einem gewissen Punkte gelangenden Schallwellen, später aber die von anderen Punkten zurückgeworfenen und so nach mehreren Zurückwerfungen zum Ohr gelangenden Laute gehört 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+{"basename":"brandes_naturlehre01_1830","par_idx":2967,"date":1830,"orig":"Da wo mehrere nach einander angegebne Laute im Echo nach einander gehoͤrt werden, wo man zum Beiſpiel eine Reihe laut ausgeſprochener Sylben wiederholt hoͤrt, muß die Entfernung des ruͤckwerfenden Gegenſtandes groß genug ſein, damit die Sylben vollendet werden, und dann erſt das Echo der erſten eintrifft.","norm":"Da wo mehrere nach einander angegebene Laute im Echo nach einander gehört werden, wo man zum Beispiel eine Reihe laut ausgesprochener Silben wiederholt hört, muss die Entfernung des rückwerfenden Gegenstandes groß genug sein, damit die Silben vollendet werden, und dann erst das Echo der ersten eintrifft.","orig_tok":["Da","wo","mehrere","nach","einander","angegebne","Laute","im","Echo","nach","einander","gehoͤrt","werden",",","wo","man","zum","Beiſpiel","eine","Reihe","laut","ausgeſprochener","Sylben","wiederholt","hoͤrt",",","muß","die","Entfernung","des","ruͤckwerfenden","Gegenſtandes","groß","genug","ſein",",","damit","die","Sylben","vollendet","werden",",","und","dann","erſt","das","Echo","der","erſten","eintrifft","."],"norm_tok":["Da","wo","mehrere","nach","einander","angegebene","Laute","im","Echo","nach","einander","gehört","werden",",","wo","man","zum","Beispiel","eine","Reihe","laut","ausgesprochener","Silben","wiederholt","hört",",","muss","die","Entfernung","des","rückwerfenden","Gegenstandes","groß","genug","sein",",","damit","die","Silben","vollendet","werden",",","und","dann","erst","das","Echo","der","ersten","eintrifft","."],"orig_spans":[[0,2],[3,5],[6,13],[14,18],[19,27],[28,37],[38,43],[44,46],[47,51],[52,56],[57,65],[66,73],[74,80],[80,81],[82,84],[85,88],[89,92],[93,101],[102,106],[107,112],[113,117],[118,133],[134,140],[141,151],[152,157],[157,158],[159,162],[163,166],[167,177],[178,181],[182,196],[197,209],[210,214],[215,220],[221,225],[225,226],[227,232],[233,236],[237,243],[244,253],[254,260],[260,261],[262,265],[266,270],[271,275],[276,279],[280,284],[285,288],[289,295],[296,305],[305,306]],"norm_spans":[[0,2],[3,5],[6,13],[14,18],[19,27],[28,38],[39,44],[45,47],[48,52],[53,57],[58,66],[67,73],[74,80],[80,81],[82,84],[85,88],[89,92],[93,101],[102,106],[107,112],[113,117],[118,133],[134,140],[141,151],[152,156],[156,157],[158,162],[163,166],[167,177],[178,181],[182,195],[196,208],[209,213],[214,219],[220,224],[224,225],[226,231],[232,235],[236,242],[243,252],[253,259],[259,260],[261,264],[265,269],[270,274],[275,278],[279,283],[284,287],[288,294],[295,304],[304,305]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.291299819946289} +{"basename":"brandes_naturlehre01_1830","par_idx":2968,"date":1830,"orig":"Rechnet man hoͤchſtens 5 Sylben, die man laut genug in 1 Secunde ausſprechen kann, ſo muͤßte ein fuͤnfſylbiges Echo eine Entfernung von 500 Fuß fordern; nach einzelnen Erfahrungen reichen ſelbſt geringere Entfernungen zu, daß aber Ebell ein 27 ſylbiges Echo bei 600 Fuß Entfernung gehoͤrt hat, laͤßt ſich wohl nur als moͤglich annehmen, wenn erſtlich der Sprechende dieſe Sylben ungemein ſchnell ausſprach und wenn zweitens doch das Echo nur durch mehrmalige Zuruͤckwerfung, alſo indem der Schall einen laͤngeren Weg durchlief, entſtand. —","norm":"Rechnet man höchstens 5 Silben, die man laut genug in 1 Sekunde aussprechen kann, so müsste ein fünfsilbiges Echo eine Entfernung von 500 Fuß fordern; nach einzelnen Erfahrungen reichen selbst geringere Entfernungen zu, dass aber Ebell ein 27 sylbiges Echo bei 600 Fuß Entfernung gehört hat, lässt sich wohl nur als möglich annehmen, wenn erstlich der Sprechende diese Silben ungemein schnell aussprach und wenn zweitens doch das Echo nur durch mehrmalige Zurückwerfung, also indem der Schall einen längeren Weg durchlief, entstand . 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+{"basename":"brandes_naturlehre01_1830","par_idx":2969,"date":1830,"orig":"Der merkwuͤrdige Umſtand, daß das Echo oft ſtaͤrker iſt, als ein in grader Linie ſo weit fortgegangener Schall ſein wuͤrde, muß wohl dadurch erklaͤrt werden, daß mehrere zuruͤckgeworfene Schallwellen ſich in einem Puncte vereinigen oder auch der Gegenſtand, wie bei der Reſonanz, durch ſeine Beſchaffenheit geeignet ſei, den Schall zu verſtaͤrken.","norm":"Der merkwürdige Umstand, dass das Echo oft stärker ist, als ein in gerader Linie so weit fortgegangener Schall sein würde, muss wohl dadurch erklärt werden, dass mehrere zurückgeworfene Schallwellen sich in einem Punkte vereinigen oder auch der Gegenstand, wie bei der Resonanz, durch seine Beschaffenheit geeignet sei, den Schall zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2970,"date":1830,"orig":"Die Stimme eines Rufenden hoͤren wir in 2000 Fuß Entfernung gewoͤhnlich kaum noch vernehmbar, aber ein Echo, das von einem 1000 Fuß entfernten Gegenſtande kommt, iſt oft noch ſehr deutlich.","norm":"Die Stimme eines Rufenden hören wir in 2000 Fuß Entfernung gewöhnlich kaum noch vernehmbar, aber ein Echo, das von einem 1000 Fuß entfernten Gegenstande kommt, ist oft noch sehr 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+{"basename":"brandes_naturlehre01_1830","par_idx":2971,"date":1830,"orig":"Daß dieſes dann nothwendig eintritt, wenn in einem elliptiſchen Gewoͤlbe oder von einer elliptiſch geformten Mauer die Toͤne regelmaͤßig nach dem andern Brennpuncte zuruͤckgeworfen werden, wenn ſie im einen Brennpuncte hervorgebracht wurden, iſt wohl gewiß, und fuͤr manche Schallverſtaͤrkungen in den Sprachgewoͤlben, wo man ein leiſe geſprochnes Wort an beſtimmtem Puncte ausgeſprochen, an einem andern beſtimmten Puncte hoͤrt, hat man hierin die Erklaͤrung gefunden.","norm":"Dass dieses dann notwendig eintritt, wenn in einem elliptischen Gewölbe oder von einer elliptisch geformten Mauer die Töne regelmäßig nach dem anderen Brennpunkte zurückgeworfen werden, wenn sie im einen Brennpunkte hervorgebracht wurden, ist wohl gewiss, und für manche Schallverstärkungen in den Sprachgewölben, wo man ein leise gesprochenes Wort an bestimmtem Punkte ausgesprochen, an einem anderen bestimmten Punkte hört, hat man hierin die Erklärung 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d, einzelne Gegenſtaͤnde ſind, die im Stande ſind, die von A ausgegangnen Vibrationen zuruͤckzuwerfen und dabei ſelbſt in aͤhnliche Schwingungen verſetzt zu werden, ſo gehen von a, von b, c, d, Schallwellen, der dieſen Puncten mitgetheilten Staͤrke der Schall-Erregung gemaͤß, nicht bloß in einer beſtimmten Richtung, ſondern in betraͤchtlich verſchiedenen Richtungen aus, und ein Ohr in B ſo wohl als in C und in mehreren Puncten wird das von allen dieſen Puncten ausgehende Echo deutlich hoͤren, wenn die Wege des Schalles nahe genug gleich lang ſind, um keinen Zwiſchenraum zwiſchen dem vom einen und andern Puncte ausgehenden Schalle merklich werden zu laſſen.","norm":"Denn wenn (Fig . 171.) a, b, c, d, einzelne Gegenstände sind, die im Stande sind, die von A ausgegangnen Vibrationen zurückzuwerfen und dabei selbst in ähnliche Schwingungen versetzt zu werden, so gehen von a, von b, c, d, Schallwellen, der diesen Punkten mitgeteilten Stärke der Schallerregung gemäß, nicht bloß in einer bestimmten Richtung, sondern in beträchtlich verschiedenen Richtungen aus, und ein Ohr in B so wohl als in C und in mehreren Punkten wird das von allen diesen Punkten ausgehende Echo deutlich hören, wenn die Wege des Schalles nahe genug gleich lang sind, um keinen Zwischenraum zwischen dem vom einen und anderen Punkte ausgehenden Schalle merklich werden zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":2984,"date":1830,"orig":"Hier gab es in einer Entfernung von dem zuruͤckwerfenden Endpuncte, welche dem Viertel einer Wellenlaͤnge gleich war, einen Punct, wo, dieſer Wellenbewegung ungeachtet, die Hoͤhe der Waſſerflaͤche immer gleich blieb, waͤhrend eben da ein wechſelndes Hingehen und Zuruͤckgehen der Waſſertheilchen ſtatt fand.","norm":"Hier gab es in einer Entfernung von dem zurückwerfenden Endpunkte, welche dem Viertel einer Wellenlänge gleich war, einen Punkt, wo, dieser Wellenbewegung ungeachtet, die Höhe der Wasserfläche immer gleich blieb, während eben da ein wechselndes Hingehen und Zurückgehen der Wasserteilchen 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+{"basename":"brandes_naturlehre01_1830","par_idx":2995,"date":1830,"orig":"Da naͤmlich hier eine freie Verbindung mit der aͤußern Luft ſtatt findet, ſo iſt dies der Punct, wo wir vorhin einen Einſchnitt in der Canalwand annahmen, und ſo wie bei den Waſſerwellen bei dieſem Einſchnitte der Punct immer gleicher Hoͤhe lag, ſo liegt hier der Punct immer gleicher Dichtigkeit.","norm":"Da nämlich hier eine freie Verbindung mit der äußeren Luft stattfindet, so ist dies der Punkt, wo wir vorhin einen Einschnitt in der Kanalwand annahmen, und so wie bei den Wasserwellen bei diesem Einschnitte der Punkt immer gleicher Höhe lag, so liegt hier der Punkt immer gleicher 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+{"basename":"brandes_naturlehre01_1830","par_idx":3000,"date":1830,"orig":"Eine 16fußige am Ende B geſchloſſene oder gedeckte Pfeife giebt einen Ton, der 32 Schwingungen in 1 Secunde macht, und dieſes iſt derjenige Ton C, der noch eine Octave tiefer, als das Contra C liegt.","norm":"Eine 16fußige am Ende B geschlossene oder gedeckte Pfeife gibt einen Ton, der 32 Schwingungen in 1 Sekunde macht, und dieses ist derjenige Ton C, der noch eine Oktave tiefer, als das Kontra C 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+{"basename":"brandes_naturlehre01_1830","par_idx":3002,"date":1830,"orig":"Auch hier naͤmlich findet eine Zerlegung der Luftſaͤule in mehrere Theile, ein Entſtehen von Schwingungsknoten ebenſo gut, wie bei den Saiten ſtatt, jedoch wird dazu eine gehoͤrige Moderirung des Anblaſens erfordert.","norm":"Auch hier nämlich findet eine Zerlegung der Luftsäule in mehrere Teile, ein Entstehen von Schwingungsknoten ebenso gut, wie bei den Saiten statt, jedoch wird dazu eine gehörige Moderierung des Anblasens 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+{"basename":"brandes_naturlehre01_1830","par_idx":3003,"date":1830,"orig":"Nehmen wir an, B ſei (Fig. 173.) eben der vorhin betrachtete Interferenzpunct, die Roͤhre erſtrecke ſich aber weiter, ſo wird in E, wenn BE = BD iſt, ein ebenſolcher Punct wie D, wo die Lufttheilchen aller fortruͤckenden Bewegung beraubt ſind, ſich finden.","norm":"Nehmen wir an, B sei (Fig. 173.) eben der vorhin betrachtete Interferenzpunkt, die Röhre erstrecke sich aber weiter, so wird in E, wenn BE = BD ist, ein ebensolcher Punkt wie D, wo die Luftteilchen aller fortrückenden Bewegung beraubt sind, sich 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+{"basename":"brandes_naturlehre01_1830","par_idx":3004,"date":1830,"orig":"Nach der Vergleichung mit der Waſſerwelle liegt E eine halbe Wellenbreite von D entfernt, und folglich iſt in E die groͤßte vorruͤckende Wellentiefe mit der groͤßten zuruͤckkehrenden Wellentiefe vereinigt, wenn in D der Gipfel des Wellenberges ankoͤmmt; aber die zuruͤckkehrenden Theilchen in dem tiefſten Wellenthale haben eben die Geſchwindigkeit nach der einen Richtung, wie die vorruͤckenden Theilchen des tiefſten Wellenthales nach der andern Richtung, dieſe Geſchwindigkeiten zerſtoͤren ſich daher, und es bildet ſich in E zwar ein tiefes Wellenthal, aber ohne Fortruͤcken nach der Richtung der Roͤhre.","norm":"Nach der Vergleichung mit der Wasserwelle liegt E eine halbe Wellenbreite von D entfernt, und folglich ist in E die größte vorrückende Wellentiefe mit der größten zurückkehrenden Wellentiefe vereinigt, wenn in D der Gipfel des Wellenberges ankommt; aber die zurückkehrenden Teilchen in dem tiefsten Wellentale haben eben die Geschwindigkeit nach der einen Richtung, wie die vorrückenden Teilchen des tiefsten Wellentals nach der anderen Richtung, diese Geschwindigkeiten zerstören sich daher, und es bildet sich in E zwar ein tiefes Wellental, aber ohne Fortrücken nach der Richtung der 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+{"basename":"brandes_naturlehre01_1830","par_idx":3005,"date":1830,"orig":"Ebenſo wenn der Anfang des Wellenberges in D ankoͤmmt, ſo iſt in E ein herandringender Anfang des Wellenthales und ein zuruͤckkehrender Anfang des Wellenthales, wo abermals entgegengeſetzt gleiche Geſchwindigkeiten ſich zerſtoͤren; und ſo in allen Faͤllen.","norm":"Ebenso wenn der Anfang des Wellenberges in D ankommt, so ist in E ein herandringender Anfang des Wellentals und ein zurückkehrender Anfang des Wellentals, wo abermals entgegengesetzt gleiche Geschwindigkeiten sich zerstören; und so in allen Fällen.","orig_tok":["Ebenſo","wenn","der","Anfang","des","Wellenberges","in","D","ankoͤmmt",",","ſo","iſt","in","E","ein","herandringender","Anfang","des","Wellenthales","und","ein","zuruͤckkehrender","Anfang","des","Wellenthales",",","wo","abermals","entgegengeſetzt","gleiche","Geſchwindigkeiten","ſich","zerſtoͤren",";","und","ſo","in","allen","Faͤllen","."],"norm_tok":["Ebenso","wenn","der","Anfang","des","Wellenberges","in","D","ankommt",",","so","ist","in","E","ein","herandringender","Anfang","des","Wellentals","und","ein","zurückkehrender","Anfang","des","Wellentals",",","wo","abermals","entgegengesetzt","gleiche","Geschwindigkeiten","sich","zerstören",";","und","so","in","allen","Fällen","."],"orig_spans":[[0,6],[7,11],[12,15],[16,22],[23,26],[27,39],[40,42],[43,44],[45,53],[53,54],[55,57],[58,61],[62,64],[65,66],[67,70],[71,86],[87,93],[94,97],[98,110],[111,114],[115,118],[119,135],[136,142],[143,146],[147,159],[159,160],[161,163],[164,172],[173,188],[189,196],[197,214],[215,219],[220,230],[230,231],[232,235],[236,238],[239,241],[242,247],[248,255],[255,256]],"norm_spans":[[0,6],[7,11],[12,15],[16,22],[23,26],[27,39],[40,42],[43,44],[45,52],[52,53],[54,56],[57,60],[61,63],[64,65],[66,69],[70,85],[86,92],[93,96],[97,107],[108,111],[112,115],[116,131],[132,138],[139,142],[143,153],[153,154],[155,157],[158,166],[167,182],[183,190],[191,208],[209,213],[214,223],[223,224],[225,228],[229,231],[232,234],[235,240],[241,247],[247,248]],"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":4.666500091552734} +{"basename":"brandes_naturlehre01_1830","par_idx":3006,"date":1830,"orig":"In F, wenn DB = BE = EF, iſt wieder ein Punct immer gleicher Dichtigkeit der Luft oder ein ebenſolcher Interferenzpunct, wie wir ihn in B fanden, wo die Geſchwindigkeit der Vibrationen in gleichen Zeitzwiſchenraͤumen ſtark wechſelt, die Dichtigkeit aber ungeaͤndert bleibt, und ſo wuͤrde, wenn die Roͤhre laͤnger iſt, in G ein Punct der Ruhe, ein Schwingungsknoten, in A ein Punct ungeaͤnderter Dichtigkeit liegen.","norm":"In F, wenn DB = BE = EF, ist wieder ein Punkt immer gleicher Dichtigkeit der Luft oder ein ebensolcher Interferenzpunkt, wie wir ihn in B fanden, wo die Geschwindigkeit der Vibrationen in gleichen Zeitzwischenräumen stark wechselt, die Dichtigkeit aber ungeändert bleibt, und so würde, wenn die Röhre länger ist, in G ein Punkt der Ruhe, ein Schwingungsknoten, in A ein Punkt ungeänderter Dichtigkeit liegen.","orig_tok":["In","F",",","wenn","DB","=","BE","=","EF",",","iſt","wieder","ein","Punct","immer","gleicher","Dichtigkeit","der","Luft","oder","ein","ebenſolcher","Interferenzpunct",",","wie","wir","ihn","in","B","fanden",",","wo","die","Geſchwindigkeit","der","Vibrationen","in","gleichen","Zeitzwiſchenraͤumen","ſtark","wechſelt",",","die","Dichtigkeit","aber","ungeaͤndert","bleibt",",","und","ſo","wuͤrde",",","wenn","die","Roͤhre","laͤnger","iſt",",","in","G","ein","Punct","der","Ruhe",",","ein","Schwingungsknoten",",","in","A","ein","Punct","ungeaͤnderter","Dichtigkeit","liegen","."],"norm_tok":["In","F",",","wenn","DB","=","BE","=","EF",",","ist","wieder","ein","Punkt","immer","gleicher","Dichtigkeit","der","Luft","oder","ein","ebensolcher","Interferenzpunkt",",","wie","wir","ihn","in","B","fanden",",","wo","die","Geschwindigkeit","der","Vibrationen","in","gleichen","Zeitzwischenräumen","stark","wechselt",",","die","Dichtigkeit","aber","ungeändert","bleibt",",","und","so","würde",",","wenn","die","Röhre","länger","ist",",","in","G","ein","Punkt","der","Ruhe",",","ein","Schwingungsknoten",",","in","A","ein","Punkt","ungeänderter","Dichtigkeit","liegen","."],"orig_spans":[[0,2],[3,4],[4,5],[6,10],[11,13],[14,15],[16,18],[19,20],[21,23],[23,24],[25,28],[29,35],[36,39],[40,45],[46,51],[52,60],[61,72],[73,76],[77,81],[82,86],[87,90],[91,102],[103,119],[119,120],[121,124],[125,128],[129,132],[133,135],[136,137],[138,144],[144,145],[146,148],[149,152],[153,168],[169,172],[173,184],[185,187],[188,196],[197,216],[217,222],[223,231],[231,232],[233,236],[237,248],[249,253],[254,265],[266,272],[272,273],[274,277],[278,280],[281,287],[287,288],[289,293],[294,297],[298,304],[305,312],[313,316],[316,317],[318,320],[321,322],[323,326],[327,332],[333,336],[337,341],[341,342],[343,346],[347,364],[364,365],[366,368],[369,370],[371,374],[375,380],[381,394],[395,406],[407,413],[413,414]],"norm_spans":[[0,2],[3,4],[4,5],[6,10],[11,13],[14,15],[16,18],[19,20],[21,23],[23,24],[25,28],[29,35],[36,39],[40,45],[46,51],[52,60],[61,72],[73,76],[77,81],[82,86],[87,90],[91,102],[103,119],[119,120],[121,124],[125,128],[129,132],[133,135],[136,137],[138,144],[144,145],[146,148],[149,152],[153,168],[169,172],[173,184],[185,187],[188,196],[197,215],[216,221],[222,230],[230,231],[232,235],[236,247],[248,252],[253,263],[264,270],[270,271],[272,275],[276,278],[279,284],[284,285],[286,290],[291,294],[295,300],[301,307],[308,311],[311,312],[313,315],[316,317],[318,321],[322,327],[328,331],[332,336],[336,337],[338,341],[342,359],[359,360],[361,363],[364,365],[366,369],[370,375],[376,388],[389,400],[401,407],[407,408]],"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":4.482900142669678} +{"basename":"brandes_naturlehre01_1830","par_idx":3007,"date":1830,"orig":"Dieſe Betrachtungen zeigen, daß eine bei A offene, bei D geſchloſſene Pfeife erſtlich den Ton angeben kann, der der Schallfortpflanzung durch ADDA gemaͤß iſt, dieſes iſt der Grundton der Roͤhre; aber es kann ſich auch die Roͤhre in drei gleiche Theile zerlegen, ſo daß D und 1 Puncte ſind (Fig. 174.), durch welche keine Bewegung der Lufttheilchen vorwaͤrts und ruͤckwaͤrts ſtatt findet, und zwiſchen welchen die Theilchen ſo vibriren, daß in D und in 1 die Dichtigkeit am ſtaͤrkſten, in H und A dagegen gar nicht wechſelt.","norm":"Diese Betrachtungen zeigen, dass eine bei A offene, bei D geschlossene Pfeife erstlich den Ton angeben kann, der der Schallfortpflanzung durch ADDA gemäß ist, dieses ist der Grundton der Röhre; aber es kann sich auch die Röhre in drei gleiche Teile zerlegen, so dass D und 1 Punkte sind (Fig. 174.), durch welche keine Bewegung der Luftteilchen vorwärts und rückwärts stattfindet, und zwischen welchen die Teilchen so vibrieren, dass in D und in 1 die Dichtigkeit am stärksten, in H und A dagegen gar nicht 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gedeckten Pfeife, durch eine richtige Maͤßigung oder Verſtaͤrkung des Anblaſens mehrere abgeſondert ſchwingende Luftſaͤulen (Fig. 175.), von D bis E, E bis G, G bis 1 reichend, gebildet haben, ſo daß in C, F, H, Puncte unveraͤnderlicher Dichtigkeit ſind, ſo bringt es keine Aenderung in der Vibration der Luftſaͤule hervor, wenn auch in dieſen Puncten C, F, H, A ſich Oeffnungen befaͤnden.","norm":"Wenn sich in der gedeckten Pfeife, durch eine richtige Mäßigung oder Verstärkung des Anblasens mehrere abgesondert schwingende Luftsäulen (Fig. 175.), von D bis E, E bis G, G bis 1 reichend, gebildet haben, so dass in C, F, H, Punkte unveränderlicher Dichtigkeit sind, so bringt es keine Änderung in der Vibration der Luftsäule hervor, wenn auch in diesen Punkten C, F, H, A sich Öffnungen 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Beſtimmung nicht zu, indem ohne Zweifel auch hier durch die Waͤrme-Entwickelung, welche mit der Verdichtung verbunden iſt, eine eben ſolche, aber bei jeder Luft- Art anders beſtimmte Abweichung vom Mariotteſchen Geſetze ſtatt findet, wie wir ſie bei atmoſphaͤriſcher Luft bemerkt haben.","norm":"Die Theorie würde hier bei einer Luftart, die ein Viertel so dicht ist, bei gleicher Elastizität, eine doppelt so große Schnelligkeit fordern; aber strenge trifft diese Bestimmung nicht zu, indem ohne Zweifel auch hier durch die Wärmeentwickelung, welche mit der Verdichtung verbunden ist, eine eben solche, aber bei jeder Luft-Art anders bestimmte Abweichung vom Mariotteschen Gesetze stattfindet, wie wir sie bei atmosphärischer Luft bemerkt 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+{"basename":"brandes_naturlehre01_1830","par_idx":3034,"date":1830,"orig":"Dieſe kleinen Unterſchiede entſtehen daher, weil einige Verſchiedenheit im Anblaſen den Ton um etwas Weniges aͤndern kann, ſo wie denn auch der Einfluß der Weite der Roͤhre, von welchem ich vorhin geredet habe, nicht ganz ſtrenge den Schluß auf die Fortpflanzung in einer ganzen Secunde geſtattet.","norm":"Diese kleinen Unterschiede entstehen daher, weil einige Verschiedenheit im Anblasen den Ton um etwas Weniges ändern kann, so wie denn auch der Einfluss der Weite der Röhre, von welchem ich vorhin geredet habe, nicht ganz strenge den Schluss auf die Fortpflanzung in einer ganzen Sekunde 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+{"basename":"brandes_naturlehre01_1830","par_idx":3037,"date":1830,"orig":"Von den hier entwickelten Geſetzen fuͤr die Toͤne der offenen Orgelpfeifen haͤngen auch die Toͤne der Floͤte ab, und uͤberhaupt die Toͤne der Inſtrumente, welche ohne Mundſtuͤck bloß durch die Vibration der in ihnen enthaltenen Luft Toͤne geben.","norm":"Von den hier entwickelten Gesetzen für die Töne der offenen Orgelpfeifen hängen auch die Töne der Flöte ab, und überhaupt die Töne der Instrumente, welche ohne Mundstück bloß durch die Vibration der in ihnen enthaltenen Luft Töne 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+{"basename":"brandes_naturlehre01_1830","par_idx":3040,"date":1830,"orig":"Zungenpfeifen.","norm":"Zungenpfeifen.","orig_tok":["Zungenpfeifen","."],"norm_tok":["Zungenpfeifen","."],"orig_spans":[[0,13],[13,14]],"norm_spans":[[0,13],[13,14]],"alignment":[[0,0],[1,1]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.691800117492676} +{"basename":"brandes_naturlehre01_1830","par_idx":3041,"date":1830,"orig":"Alle dieſe Unterſuchungen ſetzten voraus, daß die in der Pfeife enthaltene Luft durch nichts gehindert wird, diejenigen Vibrationen anzunehmen, die ſie durch Zerlegung in regelmaͤßige Luftwellen am natuͤrlichſten anzunehmen im Stande iſt; aber es giebt eine andre Art von Orgelpfeifen und Blaſe-Inſtrumenten, bei denen die urſpruͤngliche Beſtimmung des Tones von andern Vibrationen ausgeht.","norm":"Alle diese Untersuchungen setzten voraus, dass die in der Pfeife enthaltene Luft durch nichts gehindert wird, diejenigen Vibrationen anzunehmen, die sie durch Zerlegung in regelmäßige Luftwellen am natürlichsten anzunehmen im Stande ist; aber es gibt eine andere Art von Orgelpfeifen und Blase-Instrumenten, bei denen die ursprüngliche Bestimmung des Tones von anderen Vibrationen ausgeht.","orig_tok":["Alle","dieſe","Unterſuchungen","ſetzten","voraus",",","daß","die","in","der","Pfeife","enthaltene","Luft","durch","nichts","gehindert","wird",",","diejenigen","Vibrationen","anzunehmen",",","die","ſie","durch","Zerlegung","in","regelmaͤßige","Luftwellen","am","natuͤrlichſten","anzunehmen","im","Stande","iſt",";","aber","es","giebt","eine","andre","Art","von","Orgelpfeifen","und","Blaſe-Inſtrumenten",",","bei","denen","die","urſpruͤngliche","Beſtimmung","des","Tones","von","andern","Vibrationen","ausgeht","."],"norm_tok":["Alle","diese","Untersuchungen","setzten","voraus",",","dass","die","in","der","Pfeife","enthaltene","Luft","durch","nichts","gehindert","wird",",","diejenigen","Vibrationen","anzunehmen",",","die","sie","durch","Zerlegung","in","regelmäßige","Luftwellen","am","natürlichsten","anzunehmen","im","Stande","ist",";","aber","es","gibt","eine","andere","Art","von","Orgelpfeifen","und","Blase-Instrumenten",",","bei","denen","die","ursprüngliche","Bestimmung","des","Tones","von","anderen","Vibrationen","ausgeht","."],"orig_spans":[[0,4],[5,10],[11,25],[26,33],[34,40],[40,41],[42,45],[46,49],[50,52],[53,56],[57,63],[64,74],[75,79],[80,85],[86,92],[93,102],[103,107],[107,108],[109,119],[120,131],[132,142],[142,143],[144,147],[148,151],[152,157],[158,167],[168,170],[171,183],[184,194],[195,197],[198,212],[213,223],[224,226],[227,233],[234,237],[237,238],[239,243],[244,246],[247,252],[253,257],[258,263],[264,267],[268,271],[272,284],[285,288],[289,307],[307,308],[309,312],[313,318],[319,322],[323,337],[338,348],[349,352],[353,358],[359,362],[363,369],[370,381],[382,389],[389,390]],"norm_spans":[[0,4],[5,10],[11,25],[26,33],[34,40],[40,41],[42,46],[47,50],[51,53],[54,57],[58,64],[65,75],[76,80],[81,86],[87,93],[94,103],[104,108],[108,109],[110,120],[121,132],[133,143],[143,144],[145,148],[149,152],[153,158],[159,168],[169,171],[172,183],[184,194],[195,197],[198,211],[212,222],[223,225],[226,232],[233,236],[236,237],[238,242],[243,245],[246,250],[251,255],[256,262],[263,266],[267,270],[271,283],[284,287],[288,306],[306,307],[308,311],[312,317],[318,321],[322,335],[336,346],[347,350],[351,356],[357,360],[361,368],[369,380],[381,388],[388,389]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.162499904632568} +{"basename":"brandes_naturlehre01_1830","par_idx":3042,"date":1830,"orig":"Bei den Zungenpfeifen naͤmlich iſt die Roͤhre, durch welche das Einblaſen der Luft geſchieht, an der Seite durch eine bewegliche Platte, die Zunge, ſo geſchloſſen, daß die hervordringende Luft dieſe Zunge, welche am einen Ende befeſtigt iſt, wie eine geoͤffnete Klappe nach außen draͤngt.","norm":"Bei den Zungenpfeifen nämlich ist die Röhre, durch welche das Einblasen der Luft geschieht, an der Seite durch eine bewegliche Platte, die Zunge, so geschlossen, dass die hervordringende Luft diese Zunge, welche am einen Ende befestigt ist, wie eine geöffnete Klappe nach außen drängt.","orig_tok":["Bei","den","Zungenpfeifen","naͤmlich","iſt","die","Roͤhre",",","durch","welche","das","Einblaſen","der","Luft","geſchieht",",","an","der","Seite","durch","eine","bewegliche","Platte",",","die","Zunge",",","ſo","geſchloſſen",",","daß","die","hervordringende","Luft","dieſe","Zunge",",","welche","am","einen","Ende","befeſtigt","iſt",",","wie","eine","geoͤffnete","Klappe","nach","außen","draͤngt","."],"norm_tok":["Bei","den","Zungenpfeifen","nämlich","ist","die","Röhre",",","durch","welche","das","Einblasen","der","Luft","geschieht",",","an","der","Seite","durch","eine","bewegliche","Platte",",","die","Zunge",",","so","geschlossen",",","dass","die","hervordringende","Luft","diese","Zunge",",","welche","am","einen","Ende","befestigt","ist",",","wie","eine","geöffnete","Klappe","nach","außen","drängt","."],"orig_spans":[[0,3],[4,7],[8,21],[22,30],[31,34],[35,38],[39,45],[45,46],[47,52],[53,59],[60,63],[64,73],[74,77],[78,82],[83,92],[92,93],[94,96],[97,100],[101,106],[107,112],[113,117],[118,128],[129,135],[135,136],[137,140],[141,146],[146,147],[148,150],[151,162],[162,163],[164,167],[168,171],[172,187],[188,192],[193,198],[199,204],[204,205],[206,212],[213,215],[216,221],[222,226],[227,236],[237,240],[240,241],[242,245],[246,250],[251,261],[262,268],[269,273],[274,279],[280,287],[287,288]],"norm_spans":[[0,3],[4,7],[8,21],[22,29],[30,33],[34,37],[38,43],[43,44],[45,50],[51,57],[58,61],[62,71],[72,75],[76,80],[81,90],[90,91],[92,94],[95,98],[99,104],[105,110],[111,115],[116,126],[127,133],[133,134],[135,138],[139,144],[144,145],[146,148],[149,160],[160,161],[162,166],[167,170],[171,186],[187,191],[192,197],[198,203],[203,204],[205,211],[212,214],[215,220],[221,225],[226,235],[236,239],[239,240],[241,244],[245,249],[250,259],[260,266],[267,271],[272,277],[278,284],[284,285]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":3.638299942016601} +{"basename":"brandes_naturlehre01_1830","par_idx":3043,"date":1830,"orig":"Die elaſtiſche Zunge nimmt hiedurch, indem ſie bald dem Luftſtoße folgend ſich, durch die Traͤgheit fortgefuͤhrt, zu weit oͤffnet, bald zuruͤckgehend den Luftſtrom beengt, gleichzeitig wechſelnde Vibrationen an, und giebt auf dieſe Weiſe einen Ton, der zunaͤchſt durch die Laͤnge und Beſchaffenheit der Zunge beſtimmt wird.","norm":"Die elastische Zunge nimmt hierdurch, indem sie bald dem Luftstoße folgend sich, durch die Trägheit fortgeführt, zu weit öffnet, bald zurückgehend den Luftstrom beengt, gleichzeitig wechselnde Vibrationen an, und gibt auf diese Weise einen Ton, der zunächst durch die Länge und Beschaffenheit der Zunge bestimmt wird.","orig_tok":["Die","elaſtiſche","Zunge","nimmt","hiedurch",",","indem","ſie","bald","dem","Luftſtoße","folgend","ſich",",","durch","die","Traͤgheit","fortgefuͤhrt",",","zu","weit","oͤffnet",",","bald","zuruͤckgehend","den","Luftſtrom","beengt",",","gleichzeitig","wechſelnde","Vibrationen","an",",","und","giebt","auf","dieſe","Weiſe","einen","Ton",",","der","zunaͤchſt","durch","die","Laͤnge","und","Beſchaffenheit","der","Zunge","beſtimmt","wird","."],"norm_tok":["Die","elastische","Zunge","nimmt","hierdurch",",","indem","sie","bald","dem","Luftstoße","folgend","sich",",","durch","die","Trägheit","fortgeführt",",","zu","weit","öffnet",",","bald","zurückgehend","den","Luftstrom","beengt",",","gleichzeitig","wechselnde","Vibrationen","an",",","und","gibt","auf","diese","Weise","einen","Ton",",","der","zunächst","durch","die","Länge","und","Beschaffenheit","der","Zunge","bestimmt","wird","."],"orig_spans":[[0,3],[4,14],[15,20],[21,26],[27,35],[35,36],[37,42],[43,46],[47,51],[52,55],[56,65],[66,73],[74,78],[78,79],[80,85],[86,89],[90,99],[100,112],[112,113],[114,116],[117,121],[122,129],[129,130],[131,135],[136,149],[150,153],[154,163],[164,170],[170,171],[172,184],[185,195],[196,207],[208,210],[210,211],[212,215],[216,221],[222,225],[226,231],[232,237],[238,243],[244,247],[247,248],[249,252],[253,262],[263,268],[269,272],[273,279],[280,283],[284,298],[299,302],[303,308],[309,317],[318,322],[322,323]],"norm_spans":[[0,3],[4,14],[15,20],[21,26],[27,36],[36,37],[38,43],[44,47],[48,52],[53,56],[57,66],[67,74],[75,79],[79,80],[81,86],[87,90],[91,99],[100,111],[111,112],[113,115],[116,120],[121,127],[127,128],[129,133],[134,146],[147,150],[151,160],[161,167],[167,168],[169,181],[182,192],[193,204],[205,207],[207,208],[209,212],[213,217],[218,221],[222,227],[228,233],[234,239],[240,243],[243,244],[245,248],[249,257],[258,263],[264,267],[268,273],[274,277],[278,292],[293,296],[297,302],[303,311],[312,316],[316,317]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.663899898529053} 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vernehmen.","orig_tok":["Indem","aber","dieſe","Zunge","am","Anfange","einer","eingeſchloſſenen","Luftſaͤule",",","am","einen","Ende","der","Orgelpfeife",",","ſich","befindet",",","ertheilt","ſie","der","ganzen","Luftſaͤule","die","Schwingungen",",","welche","ſie","ſelbſt","annimmt",",","und","der","dadurch","ungemein","verſtaͤrkte","Ton","iſt","es",",","den","wir","durch","dieſe","Pfeifen","vernehmen","."],"norm_tok":["Indem","aber","diese","Zunge","am","Anfange","einer","eingeschlossenen","Luftsäule",",","am","einen","Ende","der","Orgelpfeife",",","sich","befindet",",","erteilt","sie","der","ganzen","Luftsäule","die","Schwingungen",",","welche","sie","selbst","annimmt",",","und","der","dadurch","ungemein","verstärkte","Ton","ist","es",",","den","wir","durch","diese","Pfeifen","vernehmen","."],"orig_spans":[[0,5],[6,10],[11,16],[17,22],[23,25],[26,33],[34,39],[40,56],[57,67],[67,68],[69,71],[72,77],[78,82],[83,86],[87,98],[98,99],[100,104],[105,113],[113,114],[115,123],[124,127],[128,131],[132,138],[139,149],[150,153],[154,166],[166,167],[168,174],[175,178],[179,185],[186,193],[193,194],[195,198],[199,202],[203,210],[211,219],[220,231],[232,235],[236,239],[240,242],[242,243],[244,247],[248,251],[252,257],[258,263],[264,271],[272,281],[281,282]],"norm_spans":[[0,5],[6,10],[11,16],[17,22],[23,25],[26,33],[34,39],[40,56],[57,66],[66,67],[68,70],[71,76],[77,81],[82,85],[86,97],[97,98],[99,103],[104,112],[112,113],[114,121],[122,125],[126,129],[130,136],[137,146],[147,150],[151,163],[163,164],[165,171],[172,175],[176,182],[183,190],[190,191],[192,195],[196,199],[200,207],[208,216],[217,227],[228,231],[232,235],[236,238],[238,239],[240,243],[244,247],[248,253],[254,259],[260,267],[268,277],[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],[47,47]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.180300235748291} +{"basename":"brandes_naturlehre01_1830","par_idx":3045,"date":1830,"orig":"Daß hier nicht eine jede Laͤnge der Orgelpfeife gleich gut geeignet ſein werde, den Ton einer beſtimmten Zunge zu unterſtuͤtzen, ſondern daß diejenige Laͤnge ſich am beſten dazu ſchicke, die ſchon ſelbſt dem Tone angemeſſen iſt, welchen die Zunge hervorbringen ſoll, laͤßt ſich wohl uͤberſehen; genauere Verſuche zeigen aber auch, daß gegenſeitig die Laͤnge der in Zitterung zu ſetzenden Luftſaͤule ebenſogut auf die Vibrationen der Zunge einwirkt, wie dieſe auf jene.","norm":"Dass hier nicht eine jede Länge der Orgelpfeife gleich gut geeignet sein werde, den Ton einer bestimmten Zunge zu unterstützen, sondern dass diejenige Länge sich am besten dazu schicke, die schon selbst dem Tone angemessen ist, welchen die Zunge hervorbringen soll, lässt sich wohl übersehen; genauere Versuche zeigen aber auch, dass gegenseitig die Länge der in Zitterung zu setzenden Luftsäule ebenso gut auf die Vibrationen der Zunge einwirkt, wie diese auf 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+{"basename":"brandes_naturlehre01_1830","par_idx":3065,"date":1830,"orig":"Nur um den ganzen Umfang der Unterſuchungen anzudeuten, die ſich dem theoretiſchen Forſcher bei der Betrachtung der Vibrationen feſter Koͤrper darbieten, will ich bemerken, daß nach Chladni's und Savart's Verſuchen die Staͤbe auch noch eine drehende Schwingung anzunehmen und uͤberdies ſich in der Breite ebenſo abwechſelnd auszudehnen faͤhig ſind, wie in der Laͤnge.","norm":"Nur um den ganzen Umfang der Untersuchungen anzudeuten, die sich dem theoretischen Forscher bei der Betrachtung der Vibrationen fester Körper darbieten, will ich bemerken, dass nach Chladnis und Savarts Versuchen die Stäbe auch noch eine drehende Schwingung anzunehmen und überdies sich in der Breite ebenso abwechselnd auszudehnen fähig sind, wie in der 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+{"basename":"brandes_naturlehre01_1830","par_idx":3066,"date":1830,"orig":"Die Theorie ſollte eigentlich angeben, wie die vier Haupttoͤne, die dieſen Vibrations-Arten entſprechen, einer durch den andern beſtimmt werden, und Poiſſon und Navier haben ſich bemuͤht, die dieſen Gegenſtand betreffenden theoretiſchen Beſtimmungen weiter zu verfolgen.","norm":"Die Theorie sollte eigentlich angeben, wie die vier Haupttöne, die diesen Vibrations-Arten entsprechen, einer durch den anderen bestimmt werden, und Poisson und Navier haben sich bemüht, die diesen Gegenstand betreffenden theoretischen Bestimmungen 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streichen, und dann erhält man, bei gehöriger Behandlung, den Längenton der 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+{"basename":"brandes_naturlehre01_1830","par_idx":3082,"date":1830,"orig":"Wenn man an eine ziemlich entfernt liegende Taſchen-Uhr einen langen Stab von Holz oder Metall haͤlt und das andre Ende des Stabes an das Ohr bringt, ſo hoͤrt man den Schlag der Unruhe viel lauter mit Huͤlfe des Stabes; bildet man zwei einander beruͤhrende Staͤbe zu einem Winkel und laͤßt den einen die Uhr beruͤhren, ſo glaubt man den Schall, nachdem er beide Staͤbe durchlaufen hat, nach der Richtung des letzten Stabes zu hoͤren.","norm":"Wenn man an eine ziemlich entfernt liegende Taschenuhr einen langen Stab von Holz oder Metall hält und das andere Ende des Stabes an das Ohr bringt, so hört man den Schlag der Unruhe viel lauter mit Hilfe des Stabes; bildet man zwei einander berührende Stäbe zu einem Winkel und lässt den einen die Uhr berühren, so glaubt man den Schall, nachdem er beide Stäbe durchlaufen hat, nach der Richtung des letzten Stabes zu 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+{"basename":"brandes_naturlehre01_1830","par_idx":3083,"date":1830,"orig":"— Eben darauf beruht die Erfahrung, daß man das Getoͤſe herankommender Menſchen und Pferde beſſer hoͤrt, wenn man das Ohr an die Erde legt, wenigſtens bei Nacht, wo kein andres Geraͤuſch hindert.","norm":"— Eben darauf beruht die Erfahrung, dass man das Getöse herankommender Menschen und Pferde besser hört, wenn man das Ohr an die Erde legt, wenigstens bei Nacht, wo kein anderes Geräusch 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+{"basename":"brandes_naturlehre01_1830","par_idx":3084,"date":1830,"orig":"Eben dieſe ſchnelle und weniger geſchwaͤchte Fortpflanzung des Schalles findet auch durch das Waſſer ſtatt.","norm":"Eben diese schnelle und weniger geschwächte Fortpflanzung des Schalles findet auch durch das Wasser 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Schalles im Waſſer gegen 4500 Fuß; aber vollſtaͤndigere und in mehrern Hinſichten belehrende Verſuche haben Colladon und Sturm auf dem Genfer-See angeſtellt.","norm":"Nach Beudants, freilich etwas unvollkommenen Versuchen beträgt die Geschwindigkeit des Schalles im Wasser gegen 4500 Fuß; aber vollständigere und in mehreren Hinsichten belehrende Versuche haben Colladon und Sturm auf dem Genfersee angestellt.","orig_tok":["Nach","Beudant's",",","freilich","etwas","unvollkommenen","Verſuchen","betraͤgt","die","Geſchwindigkeit","des","Schalles","im","Waſſer","gegen","4500","Fuß",";","aber","vollſtaͤndigere","und","in","mehrern","Hinſichten","belehrende","Verſuche","haben","Colladon","und","Sturm","auf","dem","Genfer-See","angeſtellt","."],"norm_tok":["Nach","Beudants",",","freilich","etwas","unvollkommenen","Versuchen","beträgt","die","Geschwindigkeit","des","Schalles","im","Wasser","gegen","4500","Fuß",";","aber","vollständigere","und","in","mehreren","Hinsichten","belehrende","Versuche","haben","Colladon","und","Sturm","auf","dem","Genfersee","angestellt","."],"orig_spans":[[0,4],[5,14],[14,15],[16,24],[25,30],[31,45],[46,55],[56,64],[65,68],[69,84],[85,88],[89,97],[98,100],[101,107],[108,113],[114,118],[119,122],[122,123],[124,128],[129,144],[145,148],[149,151],[152,159],[160,170],[171,181],[182,190],[191,196],[197,205],[206,209],[210,215],[216,219],[220,223],[224,234],[235,245],[245,246]],"norm_spans":[[0,4],[5,13],[13,14],[15,23],[24,29],[30,44],[45,54],[55,62],[63,66],[67,82],[83,86],[87,95],[96,98],[99,105],[106,111],[112,116],[117,120],[120,121],[122,126],[127,141],[142,145],[146,148],[149,157],[158,168],[169,179],[180,188],[189,194],[195,203],[204,207],[208,213],[214,217],[218,221],[222,231],[232,242],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":5.4141998291015625} +{"basename":"brandes_naturlehre01_1830","par_idx":3086,"date":1830,"orig":"Sie bedienten ſich einer im Waſſer haͤngenden Glocke, die durch einen unter Waſſer befindlichen, aber oberhalb des Waſſers bequem zu regierenden Hebel angeſchlagen wurde, und eines Hoͤrrohrs, das in das Waſſer hinein reichte.","norm":"Sie bedienten sich einer im Wasser hängenden Glocke, die durch einen unter Wasser befindlichen, aber oberhalb des Wassers bequem zu regierenden Hebel angeschlagen wurde, und eines Hörrohrs, das in das Wasser hinein 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+{"basename":"brandes_naturlehre01_1830","par_idx":3087,"date":1830,"orig":"Bei dieſen Verſuchen fand ſich naͤmlich der merkwuͤrdige Umſtand, daß man außerhalb des Waſſers den Schall der Glocke nur in geringer Entfernung gut hoͤrte, und daß ſchon in 700 bis 900 Fuß Entfernung der Schall der 2 Fuß hohen und weiten Glocke, die ſich nur in geringer Tiefe unter dem Waſſer befand, ganz unmerkbar wurde; tauchte man das Ohr in das Waſſer, ſo hoͤrte man den Schall, konnte aber dann wegen unbequemer Stellung keine genaue Beobachtung anſtellen.","norm":"Bei diesen Versuchen fand sich nämlich der merkwürdige Umstand, dass man außerhalb des Wassers den Schall der Glocke nur in geringer Entfernung gut hörte, und dass schon in 700 bis 900 Fuß Entfernung der Schall der 2 Fuß hohen und weiten Glocke, die sich nur in geringer Tiefe unter dem Wasser befand, ganz unmerkbar wurde; tauchte man das Ohr in das Wasser, so hörte man den Schall, konnte aber dann wegen unbequemer Stellung keine genaue Beobachtung 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+{"basename":"brandes_naturlehre01_1830","par_idx":3090,"date":1830,"orig":"— Dieſe Zahl iſt der theoretiſchen Beſtimmung, die man aus dem Grade der Compreſſibilitaͤt des Waſſers hergenommen hat, ſehr nahe entſprechend; denn da das Waſſer der Verdichtung reichlich 20000 mal ſo viel Kraft entgegenſetzt, als die Luft, und doch nur 800 mal ſo dicht iſt, als Luft, ſo iſt die beſchleunigende Kraft, mit welcher jedes Waſſertheilchen bei der Fortpflanzung des Schalles zur Bewegung angetrieben wird, ziemlich nahe 25 mal ſo groß, als in der Luft, welches eine fuͤnfmal ſo große Geſchwindigkeit giebt, als ſie ohne die Correction, die wegen der Waͤrme-Entwicklung nothwendig wird, in der Luft ſein wuͤrde, und dieſes ſtimmt nahe genug mit jener Zahl uͤberein.","norm":"— Diese Zahl ist der theoretischen Bestimmung, die man aus dem Grade der Kompressibilität des Wassers hergenommen hat, sehr nahe entsprechend; denn da das Wasser der Verdichtung reichlich 20000 Mal so viel Kraft entgegensetzt, als die 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+{"basename":"brandes_naturlehre01_1830","par_idx":3091,"date":1830,"orig":"Der merkwuͤrdige Umſtand, daß man den im Waſſer erregten Schall außer dem Waſſer nur dann hoͤrt, wenn das Ohr die unter einem ziemlich großen Winkel aus dem Waſſer hervorgehenden Schallſtrahlen empfaͤngt, verdient noch eine beſondre Erwaͤhnung.","norm":"Der merkwürdige Umstand, dass man den im Wasser erregten Schall außer dem Wasser nur dann hört, wenn das Ohr die unter einem ziemlich großen Winkel aus dem Wasser hervorgehenden Schallstrahlen empfängt, verdient noch eine besondere 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+{"basename":"brandes_naturlehre01_1830","par_idx":3092,"date":1830,"orig":"Offenbar hat dieſe Erſcheinung darin ihren Grund, daß die unter einem ſehr kleinen Winkel an die Oberflaͤche des Waſſers antreffenden Vibrationen gar nicht mehr oder nur hoͤchſt geſchwaͤcht aus dem Waſſer hervorgehen, und dagegen reflectirt in das Innere des Waſſers zuruͤckkehren.","norm":"Offenbar hat diese Erscheinung darin ihren Grund, dass die unter einem sehr kleinen Winkel an die Oberfläche des Wassers antreffenden Vibrationen gar nicht mehr oder nur höchst geschwächt aus dem Wasser hervorgehen, und dagegen reflektiert in das Innere des Wassers 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+{"basename":"brandes_naturlehre01_1830","par_idx":3093,"date":1830,"orig":"Eine aͤhnliche Erſcheinung zeigen uns die Lichtſtrahlen, die unter aͤhnlichen Umſtaͤnden auch nicht aus dem dichteren Koͤrper in den duͤnneren uͤbergehen.","norm":"Eine ähnliche Erscheinung zeigen uns die Lichtstrahlen, die unter ähnlichen Umständen auch nicht aus dem dichteren Körper in den dünneren 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+{"basename":"brandes_naturlehre01_1830","par_idx":3119,"date":1830,"orig":"Die oben ſchon erwaͤhnten Verſuche Savart's hatten zum Theil den Zweck, zu zeigen, daß der Reſonanzboden bei ſeinem Mitklingen ebenſo gut eine, bei jedem einzelnen Tone andre Reihe von Schwingungsknoten darbiete, wie es die unmittelbar in Vibration geſetzten Scheiben thun.","norm":"Die oben schon erwähnten Versuche Savarts hatten zum Teil den Zweck, zu zeigen, dass der Resonanzboden bei seinem Mitklingen ebenso gut eine, bei jedem einzelnen Tone andere Reihe von Schwingungsknoten darbiete, wie es die unmittelbar in Vibration gesetzten Scheiben 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+{"basename":"brandes_naturlehre01_1830","par_idx":3123,"date":1830,"orig":"Dabei tritt aber eine doppelte Sonderbarkeit ein.","norm":"Dabei tritt aber eine doppelte Sonderbarkeit ein.","orig_tok":["Dabei","tritt","aber","eine","doppelte","Sonderbarkeit","ein","."],"norm_tok":["Dabei","tritt","aber","eine","doppelte","Sonderbarkeit","ein","."],"orig_spans":[[0,5],[6,11],[12,16],[17,21],[22,30],[31,44],[45,48],[48,49]],"norm_spans":[[0,5],[6,11],[12,16],[17,21],[22,30],[31,44],[45,48],[48,49]],"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":5.08519983291626} +{"basename":"brandes_naturlehre01_1830","par_idx":3124,"date":1830,"orig":"Wenn man die Stimmgabel zuerſt unaufgeſtuͤtzt frei haͤlt, und ihren tiefſten Ton hervorbringt, ſo hoͤrt man dieſen bekanntlich ſchwach und erſt dann ſehr verſtaͤrkt, wenn ſie auf der Scheibe als Reſonanzboden aufgeſetzt iſt; gleichwohl zeigt der Sand nur hoͤchſt ſchwache Bewegungen und ordnet ſich bei anhaltendem Wiederholen dieſes Tones erſt ſehr langſam in unvollkommene Klangfiguren.","norm":"Wenn man die Stimmgabel zuerst unaufgestützt frei hält, und ihren tiefsten Ton hervorbringt, so hört man diesen bekanntlich schwach und erst dann sehr verstärkt, wenn sie auf der Scheibe als Resonanzboden aufgesetzt ist; gleichwohl zeigt der Sand nur höchst schwache Bewegungen und ordnet sich bei anhaltendem Wiederholen dieses Tones erst sehr langsam in unvollkommene Klangfiguren.","orig_tok":["Wenn","man","die","Stimmgabel","zuerſt","unaufgeſtuͤtzt","frei","haͤlt",",","und","ihren","tiefſten","Ton","hervorbringt",",","ſo","hoͤrt","man","dieſen","bekanntlich","ſchwach","und","erſt","dann","ſehr","verſtaͤrkt",",","wenn","ſie","auf","der","Scheibe","als","Reſonanzboden","aufgeſetzt","iſt",";","gleichwohl","zeigt","der","Sand","nur","hoͤchſt","ſchwache","Bewegungen","und","ordnet","ſich","bei","anhaltendem","Wiederholen","dieſes","Tones","erſt","ſehr","langſam","in","unvollkommene","Klangfiguren","."],"norm_tok":["Wenn","man","die","Stimmgabel","zuerst","unaufgestützt","frei","hält",",","und","ihren","tiefsten","Ton","hervorbringt",",","so","hört","man","diesen","bekanntlich","schwach","und","erst","dann","sehr","verstärkt",",","wenn","sie","auf","der","Scheibe","als","Resonanzboden","aufgesetzt","ist",";","gleichwohl","zeigt","der","Sand","nur","höchst","schwache","Bewegungen","und","ordnet","sich","bei","anhaltendem","Wiederholen","dieses","Tones","erst","sehr","langsam","in","unvollkommene","Klangfiguren","."],"orig_spans":[[0,4],[5,8],[9,12],[13,23],[24,30],[31,45],[46,50],[51,56],[56,57],[58,61],[62,67],[68,76],[77,80],[81,93],[93,94],[95,97],[98,103],[104,107],[108,114],[115,126],[127,134],[135,138],[139,143],[144,148],[149,153],[154,164],[164,165],[166,170],[171,174],[175,178],[179,182],[183,190],[191,194],[195,208],[209,219],[220,223],[223,224],[225,235],[236,241],[242,245],[246,250],[251,254],[255,262],[263,271],[272,282],[283,286],[287,293],[294,298],[299,302],[303,314],[315,326],[327,333],[334,339],[340,344],[345,349],[350,357],[358,360],[361,374],[375,387],[387,388]],"norm_spans":[[0,4],[5,8],[9,12],[13,23],[24,30],[31,44],[45,49],[50,54],[54,55],[56,59],[60,65],[66,74],[75,78],[79,91],[91,92],[93,95],[96,100],[101,104],[105,111],[112,123],[124,131],[132,135],[136,140],[141,145],[146,150],[151,160],[160,161],[162,166],[167,170],[171,174],[175,178],[179,186],[187,190],[191,204],[205,215],[216,219],[219,220],[221,231],[232,237],[238,241],[242,246],[247,250],[251,257],[258,266],[267,277],[278,281],[282,288],[289,293],[294,297],[298,309],[310,321],[322,328],[329,334],[335,339],[340,344],[345,352],[353,355],[356,369],[370,382],[382,383]],"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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.7104997634887695} +{"basename":"brandes_naturlehre01_1830","par_idx":3125,"date":1830,"orig":"Bringt man dagegen, indem man die Gabel etwas oberhalb der Mitte ſtreicht, den zweiten Ton hervor, ſo wird dieſer, wie ſchon Weber bemerkt hat, durch den Reſonanzboden gar nicht verſtaͤrkt, ſondern hoͤrt, wenn man ihn nicht immer neu erregt, bald ganz auf; aber eben dieſer Ton bringt auf eine hoͤchſt ſchnelle Weiſe den Sand in rein ausgefuͤhrte elegante Klangfiguren.","norm":"Bringt man dagegen, indem man die Gabel etwas oberhalb der Mitte streicht, den zweiten Ton hervor, so wird dieser, wie schon Weber bemerkt hat, durch den Resonanzboden gar nicht verstärkt, sondern hört, wenn man ihn nicht immer neu erregt, bald ganz auf; aber eben dieser Ton bringt auf eine höchst schnelle Weise den Sand in rein ausgeführte elegante 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+{"basename":"brandes_naturlehre01_1830","par_idx":3126,"date":1830,"orig":"Hat ſich der Sand dieſem Tone gemaͤß geordnet, und beruͤhrt man die Scheiben in mehrern Stellen der nun bezeichneten Schwingungsknoten, ſo kann man, indem man die Scheibe ſelbſt in paſſenden Puncten mit dem Bogen ſtreicht, eben den Ton erhalten, welchen vorhin die Stimmgabel angab.","norm":"Hat sich der Sand diesem Tone gemäß geordnet, und berührt man die Scheiben in mehreren Stellen der nun bezeichneten Schwingungsknoten, so kann man, indem man die Scheibe selbst in passenden Punkten mit dem Bogen streicht, eben den Ton erhalten, welchen vorhin die Stimmgabel angab.","orig_tok":["Hat","ſich","der","Sand","dieſem","Tone","gemaͤß","geordnet",",","und","beruͤhrt","man","die","Scheiben","in","mehrern","Stellen","der","nun","bezeichneten","Schwingungsknoten",",","ſo","kann","man",",","indem","man","die","Scheibe","ſelbſt","in","paſſenden","Puncten","mit","dem","Bogen","ſtreicht",",","eben","den","Ton","erhalten",",","welchen","vorhin","die","Stimmgabel","angab","."],"norm_tok":["Hat","sich","der","Sand","diesem","Tone","gemäß","geordnet",",","und","berührt","man","die","Scheiben","in","mehreren","Stellen","der","nun","bezeichneten","Schwingungsknoten",",","so","kann","man",",","indem","man","die","Scheibe","selbst","in","passenden","Punkten","mit","dem","Bogen","streicht",",","eben","den","Ton","erhalten",",","welchen","vorhin","die","Stimmgabel","angab","."],"orig_spans":[[0,3],[4,8],[9,12],[13,17],[18,24],[25,29],[30,36],[37,45],[45,46],[47,50],[51,59],[60,63],[64,67],[68,76],[77,79],[80,87],[88,95],[96,99],[100,103],[104,116],[117,134],[134,135],[136,138],[139,143],[144,147],[147,148],[149,154],[155,158],[159,162],[163,170],[171,177],[178,180],[181,190],[191,198],[199,202],[203,206],[207,212],[213,221],[221,222],[223,227],[228,231],[232,235],[236,244],[244,245],[246,253],[254,260],[261,264],[265,275],[276,281],[281,282]],"norm_spans":[[0,3],[4,8],[9,12],[13,17],[18,24],[25,29],[30,35],[36,44],[44,45],[46,49],[50,57],[58,61],[62,65],[66,74],[75,77],[78,86],[87,94],[95,98],[99,102],[103,115],[116,133],[133,134],[135,137],[138,142],[143,146],[146,147],[148,153],[154,157],[158,161],[162,169],[170,176],[177,179],[180,189],[190,197],[198,201],[202,205],[206,211],[212,220],[220,221],[222,226],[227,230],[231,234],[235,243],[243,244],[245,252],[253,259],[260,263],[264,274],[275,280],[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],[47,47],[48,48],[49,49]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.5802998542785645} +{"basename":"brandes_naturlehre01_1830","par_idx":3127,"date":1830,"orig":"Streicht man die Stimmgabel ſo, daß ſie ihren dritten Ton angiebt, ſo erhaͤlt man eine andre feiner getheilte Klangfigur, die aber auch ſehr ſchnell hervorgeht, wenn nur der Ton recht rein aushallt.","norm":"Streicht man die Stimmgabel so, dass sie ihren dritten Ton angibt, so erhält man eine andere feiner geteilte Klangfigur, die aber auch sehr schnell hervorgeht, wenn nur der Ton recht rein 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+{"basename":"brandes_naturlehre01_1830","par_idx":3128,"date":1830,"orig":"Wenn es alſo gleich ſcheint, als ob der Reſonanzboden nicht geeignet ſei, um durch ſein eignes Vibriren die ſehr hohen Toͤne zu verſtaͤrken, ſo ſieht man dennoch, daß er darum doch nicht ohne Theilnahme an den Vibrationen bleibt.","norm":"Wenn es also gleich scheint, als ob der Resonanzboden nicht geeignet sei, um durch sein eigenes Vibrieren die sehr hohen Töne zu verstärken, so sieht man dennoch, dass er darum doch nicht ohne Teilnahme an den Vibrationen 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+{"basename":"brandes_naturlehre01_1830","par_idx":3143,"date":1830,"orig":"Dieſe von Weber bemerkte und erklaͤrte Erſcheinung laͤßt ſich aus einer Interferenz zweier Schallwellen erklaͤren.","norm":"Diese von Weber bemerkte und erklärte Erscheinung lässt sich aus einer Interferenz zweier Schallwellen erklären.","orig_tok":["Dieſe","von","Weber","bemerkte","und","erklaͤrte","Erſcheinung","laͤßt","ſich","aus","einer","Interferenz","zweier","Schallwellen","erklaͤren","."],"norm_tok":["Diese","von","Weber","bemerkte","und","erklärte","Erscheinung","lässt","sich","aus","einer","Interferenz","zweier","Schallwellen","erklären","."],"orig_spans":[[0,5],[6,9],[10,15],[16,24],[25,28],[29,38],[39,50],[51,56],[57,61],[62,65],[66,71],[72,83],[84,90],[91,103],[104,113],[113,114]],"norm_spans":[[0,5],[6,9],[10,15],[16,24],[25,28],[29,37],[38,49],[50,55],[56,60],[61,64],[65,70],[71,82],[83,89],[90,102],[103,111],[111,112]],"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":5.111400127410889} +{"basename":"brandes_naturlehre01_1830","par_idx":3144,"date":1830,"orig":"Sie erinnern ſich, daß wir Interferenzpunct bei den Wellen denjenigen Punct nannten, wo eine vorruͤckende und eine zuruͤckkehrende Welle ſich immer gegenſeitig ausglichen, bei den Schallwellen alſo, wo Verdichtung von einer und Verduͤnnung von einer andern Welle her einen Zuſtand ungeaͤnderter Dichtigkeit hervorbringen.","norm":"Sie erinnern sich, dass wir Interferenzpunkt bei den Wellen denjenigen Punkt nannten, wo eine vorrückende und eine zurückkehrende Welle sich immer gegenseitig ausglichen, bei den Schallwellen also, wo Verdichtung von einer und Verdünnung von einer anderen Welle her einen Zustand ungeänderter Dichtigkeit hervorbringen.","orig_tok":["Sie","erinnern","ſich",",","daß","wir","Interferenzpunct","bei","den","Wellen","denjenigen","Punct","nannten",",","wo","eine","vorruͤckende","und","eine","zuruͤckkehrende","Welle","ſich","immer","gegenſeitig","ausglichen",",","bei","den","Schallwellen","alſo",",","wo","Verdichtung","von","einer","und","Verduͤnnung","von","einer","andern","Welle","her","einen","Zuſtand","ungeaͤnderter","Dichtigkeit","hervorbringen","."],"norm_tok":["Sie","erinnern","sich",",","dass","wir","Interferenzpunkt","bei","den","Wellen","denjenigen","Punkt","nannten",",","wo","eine","vorrückende","und","eine","zurückkehrende","Welle","sich","immer","gegenseitig","ausglichen",",","bei","den","Schallwellen","also",",","wo","Verdichtung","von","einer","und","Verdünnung","von","einer","anderen","Welle","her","einen","Zustand","ungeänderter","Dichtigkeit","hervorbringen","."],"orig_spans":[[0,3],[4,12],[13,17],[17,18],[19,22],[23,26],[27,43],[44,47],[48,51],[52,58],[59,69],[70,75],[76,83],[83,84],[85,87],[88,92],[93,105],[106,109],[110,114],[115,130],[131,136],[137,141],[142,147],[148,159],[160,170],[170,171],[172,175],[176,179],[180,192],[193,197],[197,198],[199,201],[202,213],[214,217],[218,223],[224,227],[228,239],[240,243],[244,249],[250,256],[257,262],[263,266],[267,272],[273,280],[281,294],[295,306],[307,320],[320,321]],"norm_spans":[[0,3],[4,12],[13,17],[17,18],[19,23],[24,27],[28,44],[45,48],[49,52],[53,59],[60,70],[71,76],[77,84],[84,85],[86,88],[89,93],[94,105],[106,109],[110,114],[115,129],[130,135],[136,140],[141,146],[147,158],[159,169],[169,170],[171,174],[175,178],[179,191],[192,196],[196,197],[198,200],[201,212],[213,216],[217,222],[223,226],[227,237],[238,241],[242,247],[248,255],[256,261],[262,265],[266,271],[272,279],[280,292],[293,304],[305,318],[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]],"lang_fastText":"de","lang_py3langid":"de","lang_cld3":"de","orig_lang_de":1,"norm_lmscore":4.230400085449219} +{"basename":"brandes_naturlehre01_1830","par_idx":3145,"date":1830,"orig":"Gehen nun von den beiden Seiten der einen Zinke der Stimmgabel Schallwellen aus, und treffen dieſe irgendwo, in d, e, ſo zuſammen, daß dort fortwaͤhrend, die eine die andre ausgleicht, ſo hoͤrt ein Ohr in d oder e den Schall gar nicht, und dieſes iſt der Fall bei der richtigen Stellung des Ohres in jener Beobachtung.","norm":"Gehen nun von den beiden Seiten der einen Zinke der Stimmgabel Schallwellen aus, und treffen diese irgendwo, in d, e, so zusammen, dass dort fortwährend, die eine die andere ausgleicht, so hört ein Ohr in d oder e den Schall gar nicht, und dieses ist der Fall bei der richtigen Stellung des Ohres in jener Beobachtung.","orig_tok":["Gehen","nun","von","den","beiden","Seiten","der","einen","Zinke","der","Stimmgabel","Schallwellen","aus",",","und","treffen","dieſe","irgendwo",",","in","d",",","e",",","ſo","zuſammen",",","daß","dort","fortwaͤhrend",",","die","eine","die","andre","ausgleicht",",","ſo","hoͤrt","ein","Ohr","in","d","oder","e","den","Schall","gar","nicht",",","und","dieſes","iſt","der","Fall","bei","der","richtigen","Stellung","des","Ohres","in","jener","Beobachtung","."],"norm_tok":["Gehen","nun","von","den","beiden","Seiten","der","einen","Zinke","der","Stimmgabel","Schallwellen","aus",",","und","treffen","diese","irgendwo",",","in","d",",","e",",","so","zusammen",",","dass","dort","fortwährend",",","die","eine","die","andere","ausgleicht",",","so","hört","ein","Ohr","in","d","oder","e","den","Schall","gar","nicht",",","und","dieses","ist","der","Fall","bei","der","richtigen","Stellung","des","Ohres","in","jener","Beobachtung","."],"orig_spans":[[0,5],[6,9],[10,13],[14,17],[18,24],[25,31],[32,35],[36,41],[42,47],[48,51],[52,62],[63,75],[76,79],[79,80],[81,84],[85,92],[93,98],[99,107],[107,108],[109,111],[112,113],[113,114],[115,116],[116,117],[118,120],[121,129],[129,130],[131,134],[135,139],[140,152],[152,153],[154,157],[158,162],[163,166],[167,172],[173,183],[183,184],[185,187],[188,193],[194,197],[198,201],[202,204],[205,206],[207,211],[212,213],[214,217],[218,224],[225,228],[229,234],[234,235],[236,239],[240,246],[247,250],[251,254],[255,259],[260,263],[264,267],[268,277],[278,286],[287,290],[291,296],[297,299],[300,305],[306,317],[317,318]],"norm_spans":[[0,5],[6,9],[10,13],[14,17],[18,24],[25,31],[32,35],[36,41],[42,47],[48,51],[52,62],[63,75],[76,79],[79,80],[81,84],[85,92],[93,98],[99,107],[107,108],[109,111],[112,113],[113,114],[115,116],[116,117],[118,120],[121,129],[129,130],[131,135],[136,140],[141,152],[152,153],[154,157],[158,162],[163,166],[167,173],[174,184],[184,185],[186,188],[189,193],[194,197],[198,201],[202,204],[205,206],[207,211],[212,213],[214,217],[218,224],[225,228],[229,234],[234,235],[236,239],[240,246],[247,250],[251,254],[255,259],[260,263],[264,267],[268,277],[278,286],[287,290],[291,296],[297,299],[300,305],[306,317],[317,318]],"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":4.343900203704834} 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+{"basename":"brandes_naturlehre01_1830","par_idx":3147,"date":1830,"orig":"Toͤne durch brennendes Waſſerſtoffgas.","norm":"Töne durch brennendes Wasserstoffgas.","orig_tok":["Toͤne","durch","brennendes","Waſſerſtoffgas","."],"norm_tok":["Töne","durch","brennendes","Wasserstoffgas","."],"orig_spans":[[0,5],[6,11],[12,22],[23,37],[37,38]],"norm_spans":[[0,4],[5,10],[11,21],[22,36],[36,37]],"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":5.126200199127197} +{"basename":"brandes_naturlehre01_1830","par_idx":3148,"date":1830,"orig":"Eine zweite Bemerkung, die ich hier einſchalte, betrifft einen merkwuͤrdigen Fall einer Schall-Erregung.","norm":"Eine zweite Bemerkung, die ich hier einschalte, betrifft einen merkwürdigen Fall einer 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einer engen Oeffnung hervordringt, anzuͤndet, und waͤhrend ſie ruhig, aus der Oeffnung ausſtroͤmend, fort brennt, eine Glasroͤhre ſo haͤlt, daß dieſe die Flamme innerhalb ihrer zu unterſt gehaltnen Muͤndung enthaͤlt.","norm":"Man erhält nämlich ein Tönen, wenn man brennbare Luft (Hydrogengas), die aus einer engen Öffnung hervordringt, anzündet, und während sie ruhig, aus der Öffnung ausströmend, fort brennt, eine Glasröhre so hält, dass diese die Flamme innerhalb ihrer zu unterst gehaltenen Mündung 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+{"basename":"brandes_naturlehre01_1830","par_idx":3151,"date":1830,"orig":"Ohne Zweifel muß hier die Zerſtoͤrung der hervorſtroͤmenden Luft, die ſich, wie die Chemie lehrt, mit einem Theile der atmoſphaͤriſchen Luft zu Waſſer verbindet, in ſo gleichmaͤßig abgeſetzten Zeitmomenten erfolgen, daß daraus ein Ton hervorgehen kann.","norm":"Ohne Zweifel muss hier die Zerstörung der hervorströmenden Luft, die sich, wie die Chemie lehrt, mit einem Teile der atmosphärischen Luft zu Wasser verbindet, in so gleichmäßig abgesetzten Zeitmomenten erfolgen, dass daraus ein Ton hervorgehen 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ziehen.","norm":"Das Gehörorgan, dessen künstliche Einrichtung schon jetzt unsere Aufmerksamkeit erregt, wird gewiss einst den Physikern Gelegenheit zu den interessantesten Untersuchungen und ohne Zweifel zur Bewunderung seiner zweckmäßigen Anordnung geben; aber der Zeitpunkt scheint noch ziemlich entfernt zu sein, wo eine vollendetere Einsicht in die Gesetze der Einwirkung des Schalles auf das Ohr uns berechtigen kann, über die Art der Mitwirkung jedes einzelnen Teiles auf das Hören sichere Schlüsse zu 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von noch unbekannten, erst neu zu entdeckenden Gesetzen in der Fortpflanzung des Schalles oder in der Natur der durch denselben bewirkten Vibrationen, erwarten sollen, oder ob eine genauere Aufmerksamkeit auf Fehler des Gehörsinns und auf die dabei vielleicht erkennbaren Mängel an den Organen uns zur Kenntnis ihrer Tätigkeit führen 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+{"basename":"brandes_naturlehre01_1830","par_idx":3161,"date":1830,"orig":"Hinter dem Trommelfelle liegt die Trommelhoͤhle, in welcher ſich eine Verbindung von zarten Knoͤchelchen, dem Hammer, dem Ambos und dem Steigbuͤgel, befindet.","norm":"Hinter dem Trommelfelle liegt die Trommelhöhle, in welcher sich eine Verbindung von zarten Knöchelchen, dem Hammer, dem Amboss und dem Steigbügel, befindet.","orig_tok":["Hinter","dem","Trommelfelle","liegt","die","Trommelhoͤhle",",","in","welcher","ſich","eine","Verbindung","von","zarten","Knoͤchelchen",",","dem","Hammer",",","dem","Ambos","und","dem","Steigbuͤgel",",","befindet","."],"norm_tok":["Hinter","dem","Trommelfelle","liegt","die","Trommelhöhle",",","in","welcher","sich","eine","Verbindung","von","zarten","Knöchelchen",",","dem","Hammer",",","dem","Amboss","und","dem","Steigbügel",",","befindet","."],"orig_spans":[[0,6],[7,10],[11,23],[24,29],[30,33],[34,47],[47,48],[49,51],[52,59],[60,64],[65,69],[70,80],[81,84],[85,91],[92,104],[104,105],[106,109],[110,116],[116,117],[118,121],[122,127],[128,131],[132,135],[136,147],[147,148],[149,157],[157,158]],"norm_spans":[[0,6],[7,10],[11,23],[24,29],[30,33],[34,46],[46,47],[48,50],[51,58],[59,63],[64,68],[69,79],[80,83],[84,90],[91,102],[102,103],[104,107],[108,114],[114,115],[116,119],[120,126],[127,130],[131,134],[135,145],[145,146],[147,155],[155,156]],"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":3.398699998855591} +{"basename":"brandes_naturlehre01_1830","par_idx":3162,"date":1830,"orig":"Der Hammer iſt mit ſeinem einen Ende an das Trommelfell befeſtiget und geraͤth olglich mit in Vibrationen, wenn jene elaſtiſche Haut erſchuͤttert wird; der Ambos ſteht durch eine Art von Gelenk mit dem Hammer in Verbindung, und iſt durch das linſenfoͤrmige Knoͤchelchen mit dem Steigbuͤgel verbunden, deſſen unterer Theil (gleichſam der Tritt, auf dem im Steigbuͤgel der Fuß ruhet,) das ovale Fenſter ſchließt.","norm":"Der Hammer ist mit seinem einen Ende an das Trommelfell befestiget und gerät olglich mit in Vibrationen, wenn jene elastische Haut erschüttert wird; der Amboss steht durch eine Art von Gelenk mit dem Hammer in Verbindung, und ist durch das linsenförmige Knöchelchen mit dem Steigbügel verbunden, dessen unterer Teil (gleichsam der Tritt, auf dem im Steigbügel der Fuß ruhet,) das ovale Fenster 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+{"basename":"brandes_naturlehre01_1830","par_idx":3163,"date":1830,"orig":"Dieſe feine Maſchine iſt ſo verbunden, daß bei den Vibrationen des Trommelfelles auch der Steigbuͤgel in Bewegung geraͤth, und in die Oeffnung des ovalen Fenſters, worin er genau paßt, etwas herein und heraustreten kann, indem die Haut, die ihn mit den umgebenden Raͤndern des Fenſters verbindet, dieſes geſtattet.","norm":"Diese feine Maschine ist so verbunden, dass bei den Vibrationen des Trommelfelles auch der Steigbügel in Bewegung gerät, und in die Öffnung des ovalen Fensters, worin er genau passt, etwas herein und heraustreten kann, indem die Haut, die ihn mit den umgebenden Rändern des Fensters verbindet, dieses 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+{"basename":"brandes_naturlehre01_1830","par_idx":3164,"date":1830,"orig":"Dieſe Verbindung zeigt nun wohl, daß die jenſeits des ovalen Fenſters in den Hoͤhlungen des Labyrinthes enthaltene Fluͤſſigkeit durch jene Vibrationen ſoll erſchuͤttert werden, und daß die Vibrationen ſo den in den Labyrinth eintretenden Nerven zugefuͤhrt werden ſollen; aber warum die Anordnung ſo kuͤnſtlich und zuſammengeſetzt ſei, wozu die halbkreisfoͤrmigen Canaͤle dienen, welche Beſtimmung die Schnecke, ein ſpiralfoͤrmig gewundener, noch in zwei getrennte Gaͤnge abgeſonderter Canal, habe, — das iſt noch voͤllig unaufgehellt.","norm":"Diese Verbindung zeigt nun wohl, dass die jenseits des ovalen Fensters in den Höhlungen des Labyrinthes enthaltene Flüssigkeit durch jene Vibrationen soll erschüttert werden, und dass die Vibrationen so den in den Labyrinth eintretenden Nerven zugeführt werden sollen; aber warum die Anordnung so künstlich und zusammengesetzt sei, wozu die halbkreisförmigen Kanäle dienen, welche Bestimmung die Schnecke, ein spiralförmig gewundener, noch in zwei getrennte Gänge abgesonderter Kanal, habe, — das ist noch völlig 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Es iſt ein bei der Schwerhoͤrigkeit nicht ſelten auffallender Umſtand, daß ganz vorzuͤglich das Unterſcheiden der einzelnen Laute, wenn mehrere zugleich das Ohr treffen, erſchwert iſt, und daß der Schwerhoͤrige ſich daher mit einer einzelnen Perſon leicht unterhaͤlt, aber zwiſchen anderm Geraͤuſche oder wenn mehrere zugleich ſprechen, die Worte, die er zwiſchen den uͤbrigen heraus wahrnehmen will, nicht ſo wie bei geſundem Ohre heraushoͤren kann.","norm":"Denn das Ohr soll nicht bloß die Schallwellen aufnehmen und fortpflanzen, sondern es soll außer der Zahl der Vibrationen, die den Ton bestimmt, auch noch die Eigentümlichkeiten des Klanges der Empfindung überliefern; es soll mehrere Schallwellen zugleich empfangen und im gefunden Zustande sie alle, vorausgesetzt dass kein betäubend starker Laut darunter sei, unvermischt dem Gehörnerven zuführen u. s. w. 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Weber's ſchoͤner Bemerkung geht hier der Schall nicht durch den Gehoͤrgang, ſondern gelangt auf anderm Wege zu den Gehoͤrnerven; denn wenn man eine toͤnende Stimmgabel mit dem Stiele auf den Kopf ſetzt, waͤhrend man ein Ohr mit dem Finger verſtopft, ſo hoͤrt man den Ton der Stimmgabel grade mit dieſem Ohre am lauteſten.","norm":"Nach E. 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