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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 213, page id 1041163592:0247
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PRINOIPTA MATHEMATICA
2Y3
ris, decrescet recta DC in ratione Ceomerrica ad modum veloci- LIDER
Catis, ec partes rectae AC aequalibus cemporibus deleriptae decre. SECVHDVE
scent in eadem ratione.
PROPOSITIO II. PROBLEMA I.
Corporis, cui dum in Medio similari recta ascendit vel descendit,
resistitur in ratione velocitatis, quodque ab uniformi gravitate
urgetur, definire motum.
Corpore alcendente, ex-
Donatur graritas per datum
quodris rectangulum BC, e
resistentia Medii inicio aF-
census per rectangulum BD
Cumptum ad contrarias Par-
tcs. ACymptoris rectangulis
AC, C II. per punctum B dc-
scribatur IIy perbola secans per-
pendicula D F, de in G, C; 8
corpus ascendendos tempore D Cg is deleribet spatium P. C g es tem-
DOre D GB a spatium aCcensus totiuS LC B; temporc AB2C2D
spacium descensus B FZCF, atque tempre 2D 2C 282d spatium
descensus 26 F2028: et velocitares corpess (resittentix Medii
proportionales) in horum temporum pertous crune AB F D;
ABed nulla, ABF2D, AB202d relpecttre, acque maxima
relocitas, quam corpus descendendo porelt acgultete, ctit BC.
Resolvatur enim rectan-
culum A H in rectangula
innumera AR, RB, L. M, VN,
dcc. quae sInE ut incrementa
velocicatum aequalibus FOF-
idem temporibustacta; ec.
runcnihil. AR Ab Am. An,
Ac. ut velocitates tora, aF-
que adeo (per Hlypochesin)
uc relistentia Medii princi-
Dio Cingulorum remporum
F
aequalium Fiac AC 2d AK vel ABFTC ad ABk R, ut vis er2
vicatis ad relistenciam in principio temporis secundi, deque ri srari-
caeis