Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/454.jpg" pagenum="426"/>
                    <arrow.to.target n="note455"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note455"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXXVI. PROBLEMA XVII.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Invenire vim Solis ad Mare movendum.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Solis vis
                    <emph type="italics"/>
                  ML
                    <emph.end type="italics"/>
                  ſeu
                    <emph type="italics"/>
                  PT,
                    <emph.end type="italics"/>
                  in Quadraturis Lunaribus, ad pertur­
                    <lb/>
                  bandos motus Lunares, erat (per Prop. </s>
                  <s>XXV. hujus) ad vim
                    <lb/>
                  gravitatis apud nos, ut 1 ad 638092, 6. Et vis
                    <emph type="italics"/>
                  TM-LM
                    <emph.end type="italics"/>
                  ſeu
                    <lb/>
                  2
                    <emph type="italics"/>
                  PK
                    <emph.end type="italics"/>
                  in Syzygiis Lunaribus, eſt duplo major. </s>
                  <s>Hæ autem vires,
                    <lb/>
                  ſi deſcendatur ad ſuperficiem Terræ, diminuuntur in ratione di­
                    <lb/>
                  ſtantiarum a centro Terræ, id eſt, in ratione 60 1/2 ad 1; adeo­
                    <lb/>
                  que vis prior in ſuperficie Terræ, eſt ad vim gravitatis, ut 1 ad
                    <lb/>
                  38604600. Hac vi Mare deprimitur in locis quæ 90 gradibus diſtant
                    <lb/>
                    <figure id="id.039.01.454.1.jpg" xlink:href="039/01/454/1.jpg" number="222"/>
                    <lb/>
                  a Sole. </s>
                  <s>Vi altera quæ duplo major eſt, Mare elevatur & ſub Sole
                    <lb/>
                  & in regione Soli oppoſita. </s>
                  <s>Summa virium eſt ad vim gravitatis
                    <lb/>
                  ut 1 ad 12868200. Et quoniam vis eadem eundem ciet motum,
                    <lb/>
                  ſive ea deprimat Aquam in regionibus quæ 90 gradibus diſtant à
                    <lb/>
                  Sole, ſive elevet eandem in regionibus ſub Sole & Soli oppoſitis,
                    <lb/>
                  hæc ſumma erit tota Solis vis ad Mare agitandum; & eundem
                    <lb/>
                  habebit effectum ac ſi tota in regionibus ſub Sole & Soli oppo­
                    <lb/>
                  ſitis Mare elevaret, in regionibus autem quæ 90 gradibus diſtant
                    <lb/>
                  a Sole nil ageret. </s>
                </p>
                <p type="main">
                  <s>Hæc eſt vis Solis ad Mare ciendum in loco quo vis dato, ubi Sol
                    <lb/>
                  tam in vertice loci verſatur quam in mediocri ſua diſtantia a
                    <lb/>
                  Terra. </s>
                  <s>In aliis Solis poſitionibus vis ad Mare accollendum, eſt
                    <lb/>
                  ut ſinus verſus duplæ altitudinis Solis ſupra horizontem loci di­
                    <lb/>
                  recte & cubus diſtantiæ Solis a Terra inverſe. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  Cum vis centrifuga partium Terræ à diurno Terræ motu
                    <lb/>
                  oriunda, quæ eſt ad vim gravitatis ut 1 ad 289, efficiat ut alti-</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
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    </archimedes>
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