Philosophiae naturalis principia mathematica . oceeftut ^2L, id eft ( ob datum S^ ^W ) O /3 Cj ut quadrato-cubus diftantise S P. Quod erat invenienduni. Prop. VIII. Prob. III. Moveatur corpm in circulo P Q_A : ad hunc effeSium requiritur lexvh centripet . • . • ^iVMcujy. , n /- i otnpetareciproce ut J- \ hoc eit ( neglecta rati- aLk one determinata 2^P W; wiproceut P M cnb. £_£. J. CPauad/ r J Sch [47] Scholi iiim. Et fimili argumcnto corpus movebitur in Ellipfi vel ctiam inHyperbola vel Parabola, vi centripeta qua? fit reciproce ut cu-bus ordinatim applicatse ad centrum vir

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Philosophiae naturalis principia mathematica . oceeftut ^2L, id eft ( ob datum S^ ^W ) O /3 Cj ut quadrato-cubus diftantise S P. Quod erat invenienduni. Prop. VIII. Prob. III. Moveatur corpm in circulo P Q_A : ad hunc effeSium requiritur lexvh centripet . • . • ^iVMcujy. , n /- i otnpetareciproce ut J- \ hoc eit ( neglecta rati- aLk one determinata 2^P W; wiproceut P M cnb. £_£. J. CPauad/ r J Sch [47] Scholi iiim. Et fimili argumcnto corpus movebitur in Ellipfi vel ctiam inHyperbola vel Parabola, vi centripeta qua? fit reciproce ut cu-bus ordinatim applicatse ad centrum virium maxime longinquumtendentis. Prop. IX. Prob. IV. Gyretur corpus in fpiraliP QSfecante raclios omnes S P, S Q_7 &>e~ in angnlo dato: Requiritur lex & redla QR angulum contaclus QfPKfubtendens mutabitur ( per Lemma XI. ) in duplicata ratione ipiius ?R vdQj. Ergo manebit^Xf!^ eadem

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