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# Title: [Renati Des Cartes Principiorum Philosophiae Pars I, & II, More Geometrico demonstratae] Renati Des Cartes Principiorum Philosophiæ Pars I, & II, More Geometrico demonstratæ (shelfmark Leibn. Marg. 31)
# Folio 54, page id 789395444:0076
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PRINOIPLA PHLLOSOPHEA ac
54
lectuiconcpe tenpus. Guovichusnon dari postit. Oux
omnia ur probemus, retusa Lenonis lequamur. Ponamus
igitur, ut ipse, ROtam A
BC circa centrum tali
celeritate moveri, ut pun-
ctum A omnibus mo-
mentis (icin loco A, à quo
moretur. Dicome clare
concipere celeritatem
hac indetinite celeriorem, ex consequenter momenta in infi-
nitum minora. Nam ponatur, dum rota ABC circa Cen-
erum moretur, Facere ope chordae A, ur etiam aliA POFA D F P
quam ipsa duplo minorem pono) circa centrum mOreatuI.
CU AULCM FOFA D E F duplO minor TupPOnatuE FOLA AB C:
perspicuum es, rotam DF F duplo celerius moveri rota A
BC; ex per consequens punctum D singulis dimidiis mo-
mentis esse iterum in eodem loco, d quo incepit moveri.
Deinde (I ROTO AB C FrIBUAMUS IDEU FOEX D E E, cum
DE E quadruplo celeriusmorebitur, quam antea; de Rite.
rum hanc ultimam celerieatem POEX D E L cribUaMUS FOEX
ABC, EUm D R F Ooctuplo celerius morebieur, ex sic in in-
Finicum. Verum ex Colo materix conceptu hoc claristime ap-
Paret. Nam materiae essentia consistit in extentione, sive (p2-
eio semper dirisibili, ut probarimus; ac motus sine spatio
non datur. Demonstravimus etiam, quod una parsmaterixe
non pocest simul duo spatia occupare; idem enim cNCE, aC (I
diceremus, unam partem materia xequalem esse luo duplo,
uc ex lupra demonstratis patet: ergo (i pars materix move-
cur, per spatium aliquodmoretur. quod spacium, quantum-
visparrum tingatur esse, ex per conlequensetiam tempus, per
quodillemocus menturatur, erit tamen dirisibile, et percon-
sequens duratio iltius mocus sive tempus dirisibile erit, et hoc
in infinitum, g. c. d.
Pergamus jam ad aliud, quod ab ipso allatum dicitur
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