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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 34, page id 1041163592:0068
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34
PHITLOSOPTIIA NATDRALIS
Se Moro transgredis neque prius actingere quam quantitates diminuuntur in
Conronon infinicum. Res clarius intelligetur in infinite magnis. Si quantitates
duxe quarum data est difterentia augeantur in intinicum, dabitur
harum ultima ratio, nimirum ratio sequalitaris, nec eamen ideo da-
buncur quancitates ultimae scu maximae quarum ista est ratio. Igitur
in sequentibus, siquando Facili rerum conceptui consutens dixero
quantitates quam minimas, vel cranelcentes, vel ultimas; cave in-
cellisas quantitates magnitudine determinatas, sed cosita semper
diminuendas. sinc limito.
SR CTIO
TI.
De Tnventione Virium. Centripetarum:
PROPOSITTOI TITEORLMAL
dreas, quas corpora in orros acta radiis ad immobile centrum virium
ductis describunt, e in planis immobilibus consistere,  esse tem
poribus proportionales.
Diridatur tempus in parces aequales. ee prima temporis partede
Eeribat corpus ri insita rectam AB. Idem secunda remporis parte, e
nil impedirct recta
perseretadc, (per
L.Cg. F.) describens
lincam BC aequalem
iDA AB; adcouEra-
diis AS, BS,C52d
centrum actis, con-
Fecta Forent aqua
les arca ASB, BS5.
Verum ubi CorpuS.
venitad B, a8acvis
centripeta impul-
su unico sed mag-
no, efficiacque ut
corpus de recta BC
declinet ec Dergat
in recta BC. IPAD
BS Parallela asatur cC, Occurens BC in C, u complera secunda
temporis Darte, corpus (per Lesum Corol. T.) reperietur in C, in
Po