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nydus/Philosophiae Naturalis Principia MathematicaPublic
Page 109 of 473
Table of Contents

SECT. V.

Prop. XXVII. Prob. XIX.

Figure for Prop. XXVII.
*Trajectoriam describere quæ rectas quinq; positione datas continget.*

Dentur positione tangentes ABG , BCF , GCD , FDE , EA . Figuræ quadrilateræ sub quatuor quibusvis contentæ ABFE Page 93 diagonales AF , BE biseca, & (per Cor. 3. Lem. XXV) recta per puncta bisectionum acta transibit per centrum Trajectoriæ. Rursus figuræ quadrilateræ BGDF , sub alijs quibusvis quatuor tangentibus contentæ, diagonales (ut ita dicam) BD , GF biseca, & recta per puncta bisectionum acta transibit per centrum sectionis. Dabitur ergo centrum in concursu bisecantium. Sit illud O . Tangenti cuivis BC parallelam age KL , ad eam distantiam ut centrum O

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