Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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les. </
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>Ergo abſoluta vis attractiva corporis
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A
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eſt ad abſolutam vim
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attractivam corporis
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B,
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ut maſſa corporis
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A
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ad maſſam corpo
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ris
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B. Q.E.D.
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DE MOTU
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CORPORUM</
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Corol.
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1. Hinc ſi ſingula Syſtematis corpora
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A, B, C, D,
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&c.
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>ſeorſim ſpectata trahant cætera omnia viribus acceleratricibus quæ
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ſunt reciproce ut quadrata diſtantiarum a trahente; erunt corpo
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rum illorum omnium vires abſolutæ ad invicem ut ſunt ipſa cor
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pora. </
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Corol.
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2. Eodem argumento, ſi ſingula Syſtematis corpora
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A, B, C, D,
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&c. </
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>ſeorſim ſpectata trahant cætera omnia viribus
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acceleratricibus quæ ſunt vel reciproce vel directe in ratione dig
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nitatis cujuſcunQ.E.D.ſtantiarum a trahente, quæve ſecundum Le
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gem quamcunque communem ex diſtantiis ab unoquoque trahente
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definiuntur; conſtat quod corporum illorum vires abſolutæ ſunt
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ut corpora. </
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Corol.
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3. In Syſtemate corporum, quorum vires decreſcunt in
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ratione duplicata diſtantiarum, ſi minora circa maximum in Ellipſi
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bus umbilicum communem in maximi illius centro habentibus quam
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fieri poteſt accuratiſſimis revolvantur, & radiis ad maximum illud
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ductis deſcribant areas temporibus quam maxime proportionales:
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erunt corporum illorum vires abſolutæ ad invicem, aut accurate aut
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quamproxime in ratione corporum; & contra. </
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Prop. </
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>LXVIII collatum cum hujus Corol. </
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Scholium.
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<
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>His Propoſitionibus manuducimur ad analogiam inter vires cen
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tripetas & corpora centralia, ad quæ vires illæ dirigi ſolent. </
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tioni enim conſentaneum eſt, ut vires quæ ad corpora diriguntur
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pendeant ab eorundem natura & quantitate, ut fit in Magneticis. </
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Et quoties hujuſmodi caſus incidunt, æſtimandæ erunt corporum
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attractiones, aſſignando ſingulis eorum particulis vires proprias,
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& colligendo ſummas virium. </
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>Vocem Attractionis hic generaliter
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uſurpo pro corporum conatu quocunque accedendi ad invicem;
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ſive conatus iſte fiat ab actione corporum, vel ſe mutuo petentium,
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vel per Spiritus emiſſos ſe invicem agitantium, ſive is ab actione
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Ætheris, aut Aeris, Mediive cujuſcunque ſeu corporei ſeu incorpo
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rei oriatur corpora innatantia in ſe invicem utcunQ.E.I.pellentis. </
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Eodem ſenſu generali uſurpo vocem Impulſus, non ſpecies virium </
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