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nydus/Philosophiae Naturalis Principia MathematicaPublic
Page 180 of 473
Table of Contents

SECT. X.

Figure for Prop. LIII.

Oscilletur corpus T in curva quavis linea STRQ, cujus axis sit OR transiens per virium centrum C. Agatur TX quæ curvam illam in corporis loco quovis T contingat, inq; hac Tangente TX capiatur TY æqualis arcui TR. Nam longitudo arcus illius ex figurarum Quadraturis per Methodos vulgares innotescit. De puncto Y educatur recta YZ Tangenti perpendicularis. Agatur CT perpendiculari illi occurrens in Z, & erit vis centripeta proportionalis rectæ TZ.   Q. E. I.

Nam si vis, qua corpus trahitur de T versus C , exponatur per rectam TZ captam ipsi proportionalem, resolvetur hæc in vires Page 158 TY , YZ ; quarum YZ trahendo corpus secundum longitudinem fili PT , motum ejus nil mutat, vis autem altera TY motum ejus in curva STRQ directe accelerat vel directe retardat.

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