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Abteilung. Stereometrie."},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011780","https://noah.nrw/i3f/v20/8006298/canvas/8011781","https://noah.nrw/i3f/v20/8006298/canvas/8011782","https://noah.nrw/i3f/v20/8006298/canvas/8011783","https://noah.nrw/i3f/v20/8006298/canvas/8011784"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083142","@type":"sc:Range","label":"I. Vorbemerkungen \u00fcber Tr\u00e4gheitsmomente"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011785","https://noah.nrw/i3f/v20/8006298/canvas/8011786","https://noah.nrw/i3f/v20/8006298/canvas/8011787","https://noah.nrw/i3f/v20/8006298/canvas/8011788","https://noah.nrw/i3f/v20/8006298/canvas/8011789","https://noah.nrw/i3f/v20/8006298/canvas/8011790"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083145","@type":"sc:Range","label":"II. S\u00e4tze \u00fcber abgeschr\u00e4gte Prismen und Cylinder und \u00fcber Drehungsk\u00f6rper"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011791","https://noah.nrw/i3f/v20/8006298/canvas/8011792","https://noah.nrw/i3f/v20/8006298/canvas/8011793","https://noah.nrw/i3f/v20/8006298/canvas/8011794","https://noah.nrw/i3f/v20/8006298/canvas/8011795","https://noah.nrw/i3f/v20/8006298/canvas/8011796","https://noah.nrw/i3f/v20/8006298/canvas/8011797","https://noah.nrw/i3f/v20/8006298/canvas/8011798","https://noah.nrw/i3f/v20/8006298/canvas/8011799","https://noah.nrw/i3f/v20/8006298/canvas/8011800"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083152","https://noah.nrw/i3f/v20/8006298/range/8083163","https://noah.nrw/i3f/v20/8006298/range/8083165","https://noah.nrw/i3f/v20/8006298/range/8083176","https://noah.nrw/i3f/v20/8006298/range/8083178"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083150","@type":"sc:Range","label":"III. Die Kegelschnittsfl\u00e4chen und die zugeh\u00f6rigen K\u00f6rper"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011791"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083163","@type":"sc:Range","label":"b) Kegel"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011792","https://noah.nrw/i3f/v20/8006298/canvas/8011793","https://noah.nrw/i3f/v20/8006298/canvas/8011794"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083165","@type":"sc:Range","label":"c) Das Ellipsoid"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011795"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083176","@type":"sc:Range","label":"d) Kreis-Paraboloid und elliptisches Paraboloid"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011796","https://noah.nrw/i3f/v20/8006298/canvas/8011797","https://noah.nrw/i3f/v20/8006298/canvas/8011798","https://noah.nrw/i3f/v20/8006298/canvas/8011799","https://noah.nrw/i3f/v20/8006298/canvas/8011800"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083178","@type":"sc:Range","label":"e) Das Hyperboloid und das hyperbolische Paraboloid"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011801","https://noah.nrw/i3f/v20/8006298/canvas/8011802","https://noah.nrw/i3f/v20/8006298/canvas/8011803"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083179","@type":"sc:Range","label":"IV. 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Sph\u00e4rische Trigonometrie.\r\n"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011818"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083193","@type":"sc:Range","label":"I. Vorbemerkungen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011819","https://noah.nrw/i3f/v20/8006298/canvas/8011820","https://noah.nrw/i3f/v20/8006298/canvas/8011821","https://noah.nrw/i3f/v20/8006298/canvas/8011822","https://noah.nrw/i3f/v20/8006298/canvas/8011823","https://noah.nrw/i3f/v20/8006298/canvas/8011824"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083278","@type":"sc:Range","label":"II. Rechtwinklige sph\u00e4rische Dreiecke"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011825","https://noah.nrw/i3f/v20/8006298/canvas/8011826","https://noah.nrw/i3f/v20/8006298/canvas/8011827"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083284","@type":"sc:Range","label":"III. Allgemeine sph\u00e4rische Dreiecke"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011828","https://noah.nrw/i3f/v20/8006298/canvas/8011829"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083286","@type":"sc:Range","label":"IV. \u00dcbungsaufgaben f\u00fcr die  vorl\u00e4ufige Berechnungsmethode"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011830","https://noah.nrw/i3f/v20/8006298/canvas/8011831","https://noah.nrw/i3f/v20/8006298/canvas/8011832","https://noah.nrw/i3f/v20/8006298/canvas/8011833","https://noah.nrw/i3f/v20/8006298/canvas/8011834","https://noah.nrw/i3f/v20/8006298/canvas/8011835"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083291","@type":"sc:Range","label":"V. 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Zusammenstellung der wesentlichen Formeln"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011850","https://noah.nrw/i3f/v20/8006298/canvas/8011851","https://noah.nrw/i3f/v20/8006298/canvas/8011852","https://noah.nrw/i3f/v20/8006298/canvas/8011853","https://noah.nrw/i3f/v20/8006298/canvas/8011854","https://noah.nrw/i3f/v20/8006298/canvas/8011855","https://noah.nrw/i3f/v20/8006298/canvas/8011856","https://noah.nrw/i3f/v20/8006298/canvas/8011857","https://noah.nrw/i3f/v20/8006298/canvas/8011858","https://noah.nrw/i3f/v20/8006298/canvas/8011859","https://noah.nrw/i3f/v20/8006298/canvas/8011860","https://noah.nrw/i3f/v20/8006298/canvas/8011861","https://noah.nrw/i3f/v20/8006298/canvas/8011862","https://noah.nrw/i3f/v20/8006298/canvas/8011863","https://noah.nrw/i3f/v20/8006298/canvas/8011864","https://noah.nrw/i3f/v20/8006298/canvas/8011865","https://noah.nrw/i3f/v20/8006298/canvas/8011866","https://noah.nrw/i3f/v20/8006298/canvas/8011867","https://noah.nrw/i3f/v20/8006298/canvas/8011868","https://noah.nrw/i3f/v20/8006298/canvas/8011869","https://noah.nrw/i3f/v20/8006298/canvas/8011870","https://noah.nrw/i3f/v20/8006298/canvas/8011871","https://noah.nrw/i3f/v20/8006298/canvas/8011872","https://noah.nrw/i3f/v20/8006298/canvas/8011873","https://noah.nrw/i3f/v20/8006298/canvas/8011874","https://noah.nrw/i3f/v20/8006298/canvas/8011875","https://noah.nrw/i3f/v20/8006298/canvas/8011876","https://noah.nrw/i3f/v20/8006298/canvas/8011877","https://noah.nrw/i3f/v20/8006298/canvas/8011878","https://noah.nrw/i3f/v20/8006298/canvas/8011879","https://noah.nrw/i3f/v20/8006298/canvas/8011880","https://noah.nrw/i3f/v20/8006298/canvas/8011881","https://noah.nrw/i3f/v20/8006298/canvas/8011882","https://noah.nrw/i3f/v20/8006298/canvas/8011883","https://noah.nrw/i3f/v20/8006298/canvas/8011884","https://noah.nrw/i3f/v20/8006298/canvas/8011885","https://noah.nrw/i3f/v20/8006298/canvas/8011886","https://noah.nrw/i3f/v20/8006298/canvas/8011887","https://noah.nrw/i3f/v20/8006298/canvas/8011888","https://noah.nrw/i3f/v20/8006298/canvas/8011889","https://noah.nrw/i3f/v20/8006298/canvas/8011890","https://noah.nrw/i3f/v20/8006298/canvas/8011891","https://noah.nrw/i3f/v20/8006298/canvas/8011892","https://noah.nrw/i3f/v20/8006298/canvas/8011893","https://noah.nrw/i3f/v20/8006298/canvas/8011894","https://noah.nrw/i3f/v20/8006298/canvas/8011895","https://noah.nrw/i3f/v20/8006298/canvas/8011896","https://noah.nrw/i3f/v20/8006298/canvas/8011897","https://noah.nrw/i3f/v20/8006298/canvas/8011898","https://noah.nrw/i3f/v20/8006298/canvas/8011899","https://noah.nrw/i3f/v20/8006298/canvas/8011900","https://noah.nrw/i3f/v20/8006298/canvas/8011901","https://noah.nrw/i3f/v20/8006298/canvas/8011902","https://noah.nrw/i3f/v20/8006298/canvas/8011903","https://noah.nrw/i3f/v20/8006298/canvas/8011904","https://noah.nrw/i3f/v20/8006298/canvas/8011905","https://noah.nrw/i3f/v20/8006298/canvas/8011906","https://noah.nrw/i3f/v20/8006298/canvas/8011907","https://noah.nrw/i3f/v20/8006298/canvas/8011908","https://noah.nrw/i3f/v20/8006298/canvas/8011909","https://noah.nrw/i3f/v20/8006298/canvas/8011910","https://noah.nrw/i3f/v20/8006298/canvas/8011911","https://noah.nrw/i3f/v20/8006298/canvas/8011912","https://noah.nrw/i3f/v20/8006298/canvas/8011913","https://noah.nrw/i3f/v20/8006298/canvas/8011914","https://noah.nrw/i3f/v20/8006298/canvas/8011915","https://noah.nrw/i3f/v20/8006298/canvas/8011916","https://noah.nrw/i3f/v20/8006298/canvas/8011917"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083316","https://noah.nrw/i3f/v20/8006298/range/8083444","https://noah.nrw/i3f/v20/8006298/range/8083529","https://noah.nrw/i3f/v20/8006298/range/8083543","https://noah.nrw/i3f/v20/8006298/range/8083564","https://noah.nrw/i3f/v20/8006298/range/8083591","https://noah.nrw/i3f/v20/8006298/range/8083620"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8011849","@type":"sc:Range","label":"Vierte Abteilung. Algebraische Analysis mit Anwendungen auf Geometrie und Mechanik.\r\n"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011850","https://noah.nrw/i3f/v20/8006298/canvas/8011851","https://noah.nrw/i3f/v20/8006298/canvas/8011852","https://noah.nrw/i3f/v20/8006298/canvas/8011853","https://noah.nrw/i3f/v20/8006298/canvas/8011854","https://noah.nrw/i3f/v20/8006298/canvas/8011855","https://noah.nrw/i3f/v20/8006298/canvas/8011856","https://noah.nrw/i3f/v20/8006298/canvas/8011857","https://noah.nrw/i3f/v20/8006298/canvas/8011858","https://noah.nrw/i3f/v20/8006298/canvas/8011859","https://noah.nrw/i3f/v20/8006298/canvas/8011860","https://noah.nrw/i3f/v20/8006298/canvas/8011861","https://noah.nrw/i3f/v20/8006298/canvas/8011862","https://noah.nrw/i3f/v20/8006298/canvas/8011863","https://noah.nrw/i3f/v20/8006298/canvas/8011864"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083335","https://noah.nrw/i3f/v20/8006298/range/8083344","https://noah.nrw/i3f/v20/8006298/range/8083350","https://noah.nrw/i3f/v20/8006298/range/8083352","https://noah.nrw/i3f/v20/8006298/range/8083374"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083316","@type":"sc:Range","label":"I. Die ganzen rationalen Funktionen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011850","https://noah.nrw/i3f/v20/8006298/canvas/8011851","https://noah.nrw/i3f/v20/8006298/canvas/8011852","https://noah.nrw/i3f/v20/8006298/canvas/8011853","https://noah.nrw/i3f/v20/8006298/canvas/8011854"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083335","@type":"sc:Range","label":"a) Begriff, \u00dcbereinstimmung rationaler Funktionen, Bestimmung der Koeffizienten aus den Werten der Funktion"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011855"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083344","@type":"sc:Range","label":"b) Parabeln h\u00f6herer Ordnung und ihre Quadratur"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011856","https://noah.nrw/i3f/v20/8006298/canvas/8011857","https://noah.nrw/i3f/v20/8006298/canvas/8011858"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083350","@type":"sc:Range","label":"c) Die Simpson-Newtonsche Regel nebst Verallgemeinerung"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011859","https://noah.nrw/i3f/v20/8006298/canvas/8011860","https://noah.nrw/i3f/v20/8006298/canvas/8011861"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083369","https://noah.nrw/i3f/v20/8006298/range/8083372"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083352","@type":"sc:Range","label":"d) Anwendungen:"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011859"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083369","@type":"sc:Range","label":"\u03b1) Statisches Moment, Schwerpunkt, Tr\u00e4gheitsmoment, Tr\u00e4gheitsmittelpunkt"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011860","https://noah.nrw/i3f/v20/8006298/canvas/8011861"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083372","@type":"sc:Range","label":"\u03b2) Eine kosmische Aufgabe"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011862","https://noah.nrw/i3f/v20/8006298/canvas/8011863","https://noah.nrw/i3f/v20/8006298/canvas/8011864"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083374","@type":"sc:Range","label":"e) Andeutungen \u00fcber ganze rationale Funktionen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011865","https://noah.nrw/i3f/v20/8006298/canvas/8011866","https://noah.nrw/i3f/v20/8006298/canvas/8011867","https://noah.nrw/i3f/v20/8006298/canvas/8011868","https://noah.nrw/i3f/v20/8006298/canvas/8011869","https://noah.nrw/i3f/v20/8006298/canvas/8011870","https://noah.nrw/i3f/v20/8006298/canvas/8011871","https://noah.nrw/i3f/v20/8006298/canvas/8011872"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083493","https://noah.nrw/i3f/v20/8006298/range/8083501"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083444","@type":"sc:Range","label":"II. Die Funktion y = 1/x und die Quadratur der Hyperbel\r\n"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011869"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083493","@type":"sc:Range","label":"a) Anwendungen auf Logarithmenberechnung"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011870","https://noah.nrw/i3f/v20/8006298/canvas/8011871","https://noah.nrw/i3f/v20/8006298/canvas/8011872"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083501","@type":"sc:Range","label":"b) Anwendungen auf Expansions- und Kompressionsarbeit"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011873","https://noah.nrw/i3f/v20/8006298/canvas/8011874","https://noah.nrw/i3f/v20/8006298/canvas/8011875","https://noah.nrw/i3f/v20/8006298/canvas/8011876","https://noah.nrw/i3f/v20/8006298/canvas/8011877","https://noah.nrw/i3f/v20/8006298/canvas/8011878","https://noah.nrw/i3f/v20/8006298/canvas/8011879","https://noah.nrw/i3f/v20/8006298/canvas/8011880","https://noah.nrw/i3f/v20/8006298/canvas/8011881","https://noah.nrw/i3f/v20/8006298/canvas/8011882","https://noah.nrw/i3f/v20/8006298/canvas/8011883","https://noah.nrw/i3f/v20/8006298/canvas/8011884"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083530","https://noah.nrw/i3f/v20/8006298/range/8083534","https://noah.nrw/i3f/v20/8006298/range/8083538"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083529","@type":"sc:Range","label":"III. Allgemeines \u00fcber die unendlichen Reihen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011873","https://noah.nrw/i3f/v20/8006298/canvas/8011874","https://noah.nrw/i3f/v20/8006298/canvas/8011875"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083530","@type":"sc:Range","label":"a) R\u00fcckblick auf die bereits bekannten Reihen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011876","https://noah.nrw/i3f/v20/8006298/canvas/8011877","https://noah.nrw/i3f/v20/8006298/canvas/8011878","https://noah.nrw/i3f/v20/8006298/canvas/8011879"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083534","@type":"sc:Range","label":"b) Einiges \u00fcber Konvergenz und Divergenz unendlicher Reihen mit lauter positiven Gliedern"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011880","https://noah.nrw/i3f/v20/8006298/canvas/8011881","https://noah.nrw/i3f/v20/8006298/canvas/8011882","https://noah.nrw/i3f/v20/8006298/canvas/8011883","https://noah.nrw/i3f/v20/8006298/canvas/8011884"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083538","@type":"sc:Range","label":"c) Einiges \u00fcber Reihen, die auch negative Glieder enthalten"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011885","https://noah.nrw/i3f/v20/8006298/canvas/8011886","https://noah.nrw/i3f/v20/8006298/canvas/8011887","https://noah.nrw/i3f/v20/8006298/canvas/8011888","https://noah.nrw/i3f/v20/8006298/canvas/8011889","https://noah.nrw/i3f/v20/8006298/canvas/8011890","https://noah.nrw/i3f/v20/8006298/canvas/8011891","https://noah.nrw/i3f/v20/8006298/canvas/8011892"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083547","https://noah.nrw/i3f/v20/8006298/range/8083551","https://noah.nrw/i3f/v20/8006298/range/8083554","https://noah.nrw/i3f/v20/8006298/range/8083557"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083543","@type":"sc:Range","label":"IV. Die Newtonsche Reihe und der binomische Lehrsatz f\u00fcr gebrochene und negative Exponenten"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011885","https://noah.nrw/i3f/v20/8006298/canvas/8011886"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083547","@type":"sc:Range","label":"a) Die Newtonsche Reihe und ihre Konvergenz"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011887","https://noah.nrw/i3f/v20/8006298/canvas/8011888"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083551","@type":"sc:Range","label":"b) Verallgemeinerung des binomischen Lehrsatzes"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011889","https://noah.nrw/i3f/v20/8006298/canvas/8011890"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083554","@type":"sc:Range","label":"c) Binomische Entwicklung irrationaler Ausdr\u00fccke"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011891","https://noah.nrw/i3f/v20/8006298/canvas/8011892"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083557","@type":"sc:Range","label":"d) Anleitung von Reihen f\u00fcr \u03c0, arc sin y und arc cos y auf geometrischem Wege\r\n"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011893","https://noah.nrw/i3f/v20/8006298/canvas/8011894","https://noah.nrw/i3f/v20/8006298/canvas/8011895","https://noah.nrw/i3f/v20/8006298/canvas/8011896","https://noah.nrw/i3f/v20/8006298/canvas/8011897","https://noah.nrw/i3f/v20/8006298/canvas/8011898","https://noah.nrw/i3f/v20/8006298/canvas/8011899","https://noah.nrw/i3f/v20/8006298/canvas/8011900","https://noah.nrw/i3f/v20/8006298/canvas/8011901","https://noah.nrw/i3f/v20/8006298/canvas/8011902","https://noah.nrw/i3f/v20/8006298/canvas/8011903","https://noah.nrw/i3f/v20/8006298/canvas/8011904"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083565","https://noah.nrw/i3f/v20/8006298/range/8083567","https://noah.nrw/i3f/v20/8006298/range/8083582","https://noah.nrw/i3f/v20/8006298/range/8083587","https://noah.nrw/i3f/v20/8006298/range/8083589"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083564","@type":"sc:Range","label":"V. Anwendung auf algebraische Funktionen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011893","https://noah.nrw/i3f/v20/8006298/canvas/8011894","https://noah.nrw/i3f/v20/8006298/canvas/8011895","https://noah.nrw/i3f/v20/8006298/canvas/8011896"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083565","@type":"sc:Range","label":"a) Quadratur der Kurven y = xp f\u00fcr beliebiges rationales p"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011897"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083567","@type":"sc:Range","label":"b) Anwendung auf die Reihe 1/np+1 \u03a3 np bei gebrochenem p\r\n"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011898","https://noah.nrw/i3f/v20/8006298/canvas/8011899"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083582","@type":"sc:Range","label":"c) Anwendung auf die Gravitation"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011900"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083587","@type":"sc:Range","label":"d) Anwendung auf adiabatische Expansions- und Kompressionsdiagramme"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011901","https://noah.nrw/i3f/v20/8006298/canvas/8011902","https://noah.nrw/i3f/v20/8006298/canvas/8011903","https://noah.nrw/i3f/v20/8006298/canvas/8011904"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083589","@type":"sc:Range","label":"e) Beispiele"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011905","https://noah.nrw/i3f/v20/8006298/canvas/8011906","https://noah.nrw/i3f/v20/8006298/canvas/8011907","https://noah.nrw/i3f/v20/8006298/canvas/8011908","https://noah.nrw/i3f/v20/8006298/canvas/8011909","https://noah.nrw/i3f/v20/8006298/canvas/8011910","https://noah.nrw/i3f/v20/8006298/canvas/8011911","https://noah.nrw/i3f/v20/8006298/canvas/8011912","https://noah.nrw/i3f/v20/8006298/canvas/8011913","https://noah.nrw/i3f/v20/8006298/canvas/8011914"],"ranges":["https://noah.nrw/i3f/v20/8006298/range/8083592","https://noah.nrw/i3f/v20/8006298/range/8083609","https://noah.nrw/i3f/v20/8006298/range/8083614","https://noah.nrw/i3f/v20/8006298/range/8083618"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083591","@type":"sc:Range","label":"VI. Reihenentwicklungen f\u00fcr einige transcendente Funktionen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011905","https://noah.nrw/i3f/v20/8006298/canvas/8011906"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083592","@type":"sc:Range","label":"a) Logarithmus"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011907","https://noah.nrw/i3f/v20/8006298/canvas/8011908","https://noah.nrw/i3f/v20/8006298/canvas/8011909"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083609","@type":"sc:Range","label":"b) Reihen f\u00fcr \u03c0 und cyklometrische Funktionen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011910","https://noah.nrw/i3f/v20/8006298/canvas/8011911"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083614","@type":"sc:Range","label":"c) Quadratur und Tangentenproblem f\u00fcr die behandelten transcendenten Funktionen"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011912","https://noah.nrw/i3f/v20/8006298/canvas/8011913","https://noah.nrw/i3f/v20/8006298/canvas/8011914"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083618","@type":"sc:Range","label":"d) Nachtr\u00e4ge \u00fcber die Berechnung der Zahl \u03c0"},{"canvases":["https://noah.nrw/i3f/v20/8006298/canvas/8011915","https://noah.nrw/i3f/v20/8006298/canvas/8011916","https://noah.nrw/i3f/v20/8006298/canvas/8011917"],"@id":"https://noah.nrw/i3f/v20/8006298/range/8083620","@type":"sc:Range","label":"VII. 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