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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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III
PRINCIPTA MATHEMATICA.
ex erie G commune centrum graritatis particularum A ex B. Vis
TiFB P. B
AX AZ (per Ledum CorOl. 2.) resolvitur in vires AXCZ e AX AG Pnruvs.
ec vis BXBZ in vires BXGZ de BXBG. Vires aurem AX A6
de BX BC, ob proporrionales 1 ad B e B ad AC, aequanEuT;
adeoque cum dirisaneur in partes contrarias, se mutuo destruune.
ResanE virCS AXCZ _ BXCZ. Tendunc hxe ab Z versuS cen
erum C, _ vim A F B X CZ componune; hoc est, rim candem ac
E particulae actractirae A sc B conlisterent in eorum communi or2-
vitatis centro C. CTlobum ibi componentes.
Lodem argumento, si adjungatur parricula certia C, dc compo-
natur hujus vis cum vi A f B X GZ cendente ad centrum G; vis
inde oriunda tender ad commune cenerum gravitatis GTlobi illius C
ex particulae C; hoc est, ad commune centrum graricatis erium par-
cicularum 1, B, C; ex eadem erit ac s Globus de particula Cconsi-
Cerent in cenero illo communi, Globum majorem ibi componentes.
EE sic persitur in infinitum. Fadem eA igitur vis cota particula-
rum omnium corporis cujuscunque RST V ac E corpus illud, ser-
vato gravicatis centro, hguram Clobi indueret. 9. Li. D.
C. OrOI. TIinc motus corporis accracti Z idem erit ac sI COrDUS
actrahens RSTV eet Sphaericum: ec propterca si corpus illud
actrahens vel quielcat, vel progrediatur unitormiter in directum;
corpus aecractum morebitur in Fllipsi centrum habente in aEEra-
hentis centro gravitatis.
PROPOSITIO LXXXIZ. TIIEOREMAXEVI
Si Corpora sint plura ex particulis aequalibus constantia, quarum vi-
res sunt ut distantiae locorum a sinculis: vis ex omnium viri-
bus composita, qua corpusculum quodcunque trahitur, tendet ad
trahentium commune centrum gravitatis, e eadem erit ac si
trabentia illa, servato rravitatis centro communi, coirent  in
Clobum formarentur.
Demonstratur eodem modo, atque Propositio superior.
Corol. Ereo motus corporis attracti idem erit ac i corpora tra:
hencia, serrato communi graritaris centro, coirent et in Gilobum
Formarentur. Ideoque si corporum crahencium commune gravita-
eis cenerum vel quiescie, vel progreditur uniformiter in linea recta:
corpus actractum movebitur in Ellips, centrum habente in com-
muni illo crahentium centro gravitatis.
C
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