Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <pb xlink:href="039/01/200.jpg" pagenum="172"/>
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                  les. </s>
                  <s>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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                  </s>
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                <p type="margin">
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                    <margin.target id="note148"/>
                  DE MOTU
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                  CORPORUM</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  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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                  </s>
                  <s>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. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. Eodem argumento, ſi ſingula Syſtematis corpora
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                    <emph type="italics"/>
                  A, B, C, D,
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                  &c. </s>
                  <s>ſeorſim ſpectata trahant cætera omnia viribus
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                  acceleratricibus quæ ſunt vel reciproce vel directe in ratione dig­
                    <lb/>
                  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. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  3. In Syſtemate corporum, quorum vires decreſcunt in
                    <lb/>
                  ratione duplicata diſtantiarum, ſi minora circa maximum in Ellipſi­
                    <lb/>
                  bus umbilicum communem in maximi illius centro habentibus quam
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                  fieri poteſt accuratiſſimis revolvantur, & radiis ad maximum illud
                    <lb/>
                  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. </s>
                  <s>Patet per Corol. </s>
                  <s>
                    <lb/>
                  Prop. </s>
                  <s>LXVIII collatum cum hujus Corol. </s>
                  <s>1. </s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
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                  Scholium.
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                    <emph.end type="center"/>
                  </s>
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                  <s>His Propoſitionibus manuducimur ad analogiam inter vires cen­
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                  tripetas & corpora centralia, ad quæ vires illæ dirigi ſolent. </s>
                  <s>Ra­
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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. </s>
                  <s>
                    <lb/>
                  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. </s>
                  <s>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. </s>
                  <s>
                    <lb/>
                  Eodem ſenſu generali uſurpo vocem Impulſus, non ſpecies virium </s>
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