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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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HIIIII
PHTLOSOPTILLE NATDRALIS
DE MorD nulla prortus orictur mucatio motus aetractorum inter se, nisi vel
ex aecractionum acceleratricum inaequalitare, vel ex inclinatione li
nearum ad invicem, sccundum quas attractiones hune. Ponc ergo
acrractiones omnes acceleratrices in corpus maximum esse inter se
reciproce ue quadraca distantiarum; et, augendo corporis maximi
distantiam, donec rectarum ab hoc ad reliqua ductarum differen-
rix respectu carum longicudinis se inclinationes ad invicem mino-
res sint quam datae quaeris, persererabunt motus partium Sustema-
eis inter se absque erroribus qui non sint quibusris datis minores.
EE quoniam, ob exiguam parcium illarum ab invicem distantiam.
Syltema tocum ad modum corporis unius actrahitur; morebitur
idem hac actractione ad modum corporis unius; hoc est, centro
suo gravitatis describet circa corpus maximum Sectionem aliquam
Conicam (viz. FIyperbolam vel Parabolam attractione languida,
Fllipsin Forriore,) ex Radio ad maximum ducto describet arcas
temporibus proportionales, ab sque ullis erroribus, nisi quas par-
rium distantiae (perexigux sane e pro lubitu minuendae) valeant
efticere. D. F. O
Simili argumento pergere licet ad casus magis compolitos in in-
Anicum.
Corol. I. In catu sccundo; quo propius accedit corpus omnium
maximum ad Syltema duorum vel plurium, eo masis curbabuntur
motus partium Systematis inter se; proprerca quod linearum a cor-
pore maximo ad has ductarum jam major est inclinatio ad invicem,
majorque provortionis inaqualicas.
Corol. 2. Maxime autem curbabuntur, ponendo quod attractio.
nes acceleratrices partium Syltematis verlus corpus omnium maxi-
mum, non sinc ad invicem reciproce ut quadrata distantiarum a
corpore illo maximo; praelertim A proportionis hujus inaequalitas
major sic quam inaequalicas provortionis dictantiarum a Corpore
maximo: Nam si vis acceleratrix, aequalicer de secundum lincas pa-
rallelas agendo, nil percurbat motus inter se, necene cA ut ex acti-
onis inaequalitate perturbetio oriatur, majorque sic vel minor pro
majore vel minore inaequalitate. Excessus impulsuum majorum,
agendo in aliqua corpora ex non asendo in alias neceMario muta-
bune situm eorum inter (e. EF haec percurbatio, addica perturbatio-
ni quae ex lincarum inclinatione de inaequalitate oritur, majorem
reddet perturbationem totam.
Corol. 3. Onde E Syctematis hujus partes in Ellipsibus vel Cir-
culis sine percurbatione insigni moreantur; manifestum cAt, quod
caedem
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