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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 184, page id 1041163592:0218
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134
PTTLOSOPMIILE NATDRALIS
De Moro lineola illa Dd: ac secundum lineam P S ad centrum S
Conronon minor, in ratione PD ad
F
que ut l
tene
entem
DX D d. Diridi
jam incellisatur linea D Fin particulas innumeras xequales, quae
linsulx nominentur Dd; ee superticies FF. C
aeguales annulos, quorum Vescrune l
HOc CA, uE Z P Hg.
videtur in
idem
DXD d.
q. acne ut D Gau. Ducacu
TUT
unium F
jam suxerticies P F. in alticudinem Ff; e Ret Colidi F. F fe vis ex-
ercita in corpusculum P uE D FgX Ff: puta si detur vis quam
particula aliqua data Ff in distancia F sexercet in corpusculum
P. AC S ris illa non detur, hec vis solidi P Fife ut Colidum
DE gX Ff ec vis illa non data conjunctim. Q. L. D.
PROPOSITIOLXZZ. THEOREMA XI.
Si ad Sphaerae alicujus ABF, centro S descriptae, particulas sineu
las aequales tendant aequales vires centripetae, e ad Sphaerae
axem AB, in quo corpusculum aliquod P locatur, erisantur de
punctis sinculis D perpendicula DF, Sphaerae occurrentia in F,
e in ipsis capiantur longitudines DV, quae sint ut quantitas
DF 9XPS
PF
e vis quam Sphaerae particula sita in axe ad di-
stantiam PF. exercet in corpusculum P conjunctim: dico quod
Vis tota, qua corpusculum P crabitur versus Sphaeram, est ut
area comprehensa sub axe Sphaerae AB  linea CurVA ANB,
quam punctum _ perpetuo tansit.
Etenim