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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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29
PHITLOSODHLA NATVRALIS
De Morveisulris distantiarum: accractiones acceleratrices in corpora tota
CORPORVM CrunE ut corpora directe e distantiarum dignitaces illae inverse. Vr
si vires particularum decrescane in ratione duplicata distantiarum
corpusculis actractis, CorpOra auTeM SInE UE A cub. e B cuh 24
eoque cum corporum lacera cubica, tum corpusculorum actracto-
rum dictaneix a corporibus, ut  ec B: accractiones acceleratri-
CeS In COrPOTA CrUnE U Acub.  B cub.
aquad. Bquaa. id CA, ut corporum la-
tera illa cubica A ee B. Si vires parcicularum decreleant in ra-
cione eriplicaca dictantiarum a corpusculis accractis; accractiones
acCClCTAETICES In COrPOTA FOFA CTUNE WE L CU. e B cub.
Acub. Bcub id est, aequa-
les. Si vires decreseant in ratione quadruplicata; atcractiones in
COrPOTA CFUIHE VE
Acub
A99.
de
Bcub.
B9
ea A _ B. EF SC in CxterIS.
id est, reciproce ut lacera cubi
Corel. 2. Onde vicissim, ex viribus quibus corpora similia era-
hunc corpuscula ad se limiliter Polita, colligi porest ratio decre
menti ririum parricularum actractivarum in recessu corpusculi aF
cracti; s modo. decrementum illud sc directe vel inverse in ratione
aliqua dictantiarum.
PROPOSITIO LXXXVIII. THEOREMA XLV
Si particularum aequalium Corporis cujuscunque vires attractivae
sint ut distantiae locorum a particulis: vis corporis totius ter
det ad ipsius centrum gravitatis; es eadem erit cum vi Globi
ex materia consimili es aequali constantis es centrum habentis
in ejus centro gravitatis.
Corporis RSTV particulae A,
B crahant corpusculum aliquod
Z viribus quae, si particula X
Quaneur incer sC, SInE uE distan-
tix AZ. BZ; an particulxe A2-
tuantur inrequales, sint uF hX PaF-
ticulx in dictantias TVaS AZ, BZ
respectire ductx. RE exPONan-
cur hae vires per concenca illa
AX AZ de BXBZ. Jungatur AB,
_ secetur ea in CFuE (IC AC ad B C ut particula B ad particulam A;