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Beziehungen zwischen den Seiten; H\u00f6hen, Mittellinien und Winkelhalbierenden des Dreiecks."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021761","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021762","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021763"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023649","@type":"sc:Range","label":"L\u00f6sungen mit Hilfe von Lehrkr\u00e4ften."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021764"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023650","@type":"sc:Range","label":"Methoden der Symmetrie oder der Spiegelbilder."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021765"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023653","@type":"sc:Range","label":"Methode der konzentrischen Verschiebung."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021766","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021767"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023656","@type":"sc:Range","label":"Methode der \u00c4hnlichkeit."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021768"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023658","@type":"sc:Range","label":"Methode der Umkehrung der Aufgabe."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021769"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023659","@type":"sc:Range","label":"Methode der Drehung."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021770","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021771"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023742","@type":"sc:Range","label":"Methode des geometrischen Ortes."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021772"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023746","@type":"sc:Range","label":"Methode der algebraischen Analysis."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021773","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021774"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023750","@type":"sc:Range","label":"Satz des Ceva."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021775"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023766","@type":"sc:Range","label":"Satz des Menelaos."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021776","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021777","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021778","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021779"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8023771","@type":"sc:Range","label":"Anwendungen auf vollst\u00e4ndiges Vierseit, Pascalschen Satz und \u00c4hnlichkeitsachsen dreier Kreise."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021780","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021781","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021782","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021783","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021784","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021785"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024847","@type":"sc:Range","label":"VI. Harmonische Punkte und Strahlen."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021786","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021787","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021788","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021789","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021790","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021791"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024848","@type":"sc:Range","label":"VII. \u00c4hnlichkeitspunkte und pascalscher Satz."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021792","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021793","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021794","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021795","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021796","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021797","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021798","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021799"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024849","@type":"sc:Range","label":"VIII. Harmonische Punkte und Strahlen am Kreise, Pol und Polare."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021800","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021801","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021802","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021803","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021804","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021805","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021806"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024850","@type":"sc:Range","label":"IX. Die Inversion oder Spiegelung mittels reciproker Radien."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021807","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021808","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021809","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021810","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021811","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021812"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024851","@type":"sc:Range","label":"X. Potenz und Potenzlinien."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021813","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021814"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024852","@type":"sc:Range","label":"XI. Einige Ber\u00fchrungsaufgaben."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021815","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021816","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021817","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021818","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021819","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021820","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021821"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024914","@type":"sc:Range","label":"Mercatorkarte, Karte der n\u00f6rdlichen und s\u00fcdlichen, der \u00f6stlichen und westlichen Halbkugel, Halbkugel der gr\u00f6\u00dften und kleinsten Wassermasse nach Hipparch-Ptolem\u00e4us."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021822","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021823","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021824","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021825","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021826","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021827","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021828","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021829","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021830","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021831","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021832","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021833","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021834","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021835","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021836","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021837","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021838","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021839"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029583","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029584","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029587","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029589"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024916","@type":"sc:Range","label":"XIII. Der Koordinatenbegriff."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021822","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021823","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021824","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021825"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029583","@type":"sc:Range","label":"a) Graphische Darstellungen."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021826","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021827","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021828"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029584","@type":"sc:Range","label":"b) die Koordinaten von Punkten."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021829","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021830","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021831","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021832","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021833"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029587","@type":"sc:Range","label":"c) Die Gleichung ersten Grades und die gerade Linie."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021834","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021835","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021836","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021837","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021838","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021839"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029589","@type":"sc:Range","label":"d) Die Gleichung des Kreises."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021840","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021841"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024917","@type":"sc:Range","label":"XIV. Zusammenstellung der wichtigsten 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Geometrische Reihen."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021842","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021843","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8029803"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029591","@type":"sc:Range","label":"a) Die geometrische Reihe mit endlicher Gliederzahl."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021848","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021849","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021850"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029593","@type":"sc:Range","label":"b) Anwendung auf die Rentenrechnung."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021851","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021852","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021853","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021854","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021855","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021856"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029595","@type":"sc:Range","label":"c) Die geometrischen Reihen mit unendlich gro\u00dfer Gliederzahl."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021857","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021858","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021859","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021860","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021861"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029596","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029599"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024922","@type":"sc:Range","label":"II. Arithmetische Reihen."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021857"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029596","@type":"sc:Range","label":"a) Arithmetische Reihen erster Ordnung."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021858","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021859","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021860","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021861"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029599","@type":"sc:Range","label":"b) Einige arithmetische  Reihen h\u00f6here Ordnung."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021862","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021863","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021864","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021865","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021866"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024923","@type":"sc:Range","label":"III. Der binomische Lehrsatz f\u00fcr ganze positive Exponenten."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021867","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021868","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021869","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021870"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024924","@type":"sc:Range","label":"IV. Ableitung gewisser arithmetischer Reihen h\u00f6herer Ordnung mit H\u00fclfe des binomischen Lehrsatzes."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021871","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021872","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021873","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021874","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021875","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021876"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024925","@type":"sc:Range","label":"V. Die Exponentialreihe und die nat\u00fcrlichen Logarithmen."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021877","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021878","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021879","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021880","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021881","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021882","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021883"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024928","@type":"sc:Range","label":"VI. Der Moivresche Lehrsatz und einige aus ihm abgeleitete Reihen."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021884","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021885","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021886","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021887","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021888","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021889","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8021890"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8024929","@type":"sc:Range","label":"VII. 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Die Ellipse als Kegelschnitt."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022010","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022011","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022012","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022013","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022014"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029246","@type":"sc:Range","label":"III. Die Parabel als Spezialfall der Ellipse."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022015","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022016","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022017","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022018","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022019","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022020","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022021","https://digital.ub.uni-paderborn.de/i3f/v20/8006295/canvas/8022022"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/8006295/range/8029247","@type":"sc:Range","label":"IV. 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