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nydus/Philosophiae Naturalis Principia MathematicaPublic
Page 103 of 473
Table of Contents

SECT. V.

Figure for Prop. XXV.

Per concursum tangentium quarumvis duarum cum se invicem, & concursum tangentis tertiæ cum recta illa, quæ per puncta duo Page 88 data transit, age rectam infinitam; eaq; adhibita pro radio ordinato primo, transmutetur figura, per Lemma superius, in figuram novam. In hac figura tangentes illæ duæ evadent parallelæ, & tangens tertia fiet parallela rectæ per puncta duo transeunti. Sunto hi , kl tangentes duæ parallelæ, ik tangens tertia, & hl recta huic parallela transiens per puncta illa a , b , per quæ Conica sectio in hac figura nova transire debet, & parallelogrammum hikl complens. Secentur rectæ hi , ik , kl in c , d & e , ita

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