Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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            <s xml:id="echoid-s19259" xml:space="preserve">
              <pb o="(199)" file="0731" n="803" rhead="MATHEMATICA. LIB. IV. CAP. XXI,"/>
            mutatâ gravitate, in Telluris ſuperficie, parte {1/2871485}, aqua
              <lb/>
            elevatur pedibus 8,95. </s>
            <s xml:id="echoid-s19260" xml:space="preserve">; </s>
            <s xml:id="echoid-s19261" xml:space="preserve">ideò, ſi gravitas parte {1/91524}
              <note symbol="*" position="right" xlink:label="note-0731-01" xlink:href="note-0731-01a" xml:space="preserve">1420. 1422.</note>
            tur, elevatio foret pedum 280,7, ut regulâ aureâ detegitur:
              <lb/>
            </s>
            <s xml:id="echoid-s19262" xml:space="preserve">ſi, ſervatâ hac diminutione gravitatis, de corpore minori a-
              <lb/>
            gatur, minuenda eſt hæc altitudo in ratione diametri; </s>
            <s xml:id="echoid-s19263" xml:space="preserve">ideò,
              <lb/>
            ex actione Telluris, elevatio in Lunâ eſt pedum 76,8.</s>
            <s xml:id="echoid-s19264" xml:space="preserve">: & </s>
            <s xml:id="echoid-s19265" xml:space="preserve">
              <lb/>
            æquilibrium non dabitur, ſi Luna ſit bomogenea, niſi axis
              <lb/>
              <note position="right" xlink:label="note-0731-02" xlink:href="note-0731-02a" xml:space="preserve">1433.</note>
            ſphæroidis ſuperet diametrum ad bunc perpendicularem pe-
              <lb/>
            dibus 153,60.</s>
            <s xml:id="echoid-s19266" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19267" xml:space="preserve">Unicâ proportione detegitur, ex notâ elevatione Maris
              <lb/>
              <note position="right" xlink:label="note-0731-03" xlink:href="note-0731-03a" xml:space="preserve">1434.</note>
            ex Lunæ actione, elevatio in Lunâ ex Telluris actione; </s>
            <s xml:id="echoid-s19268" xml:space="preserve">nam
              <lb/>
            ſunt hæ elevationes in ratione duplicatâ inverſâ gravitatum
              <lb/>
            in ſuperficiebus illorum corporum.</s>
            <s xml:id="echoid-s19269" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19270" xml:space="preserve">Si, poſitâ hac Lunæ figurâ, partes cohærere concipiamus,
              <lb/>
            æquilibrium inter Lunæ partes non dabitur, niſi axis ſphæ-
              <lb/>
              <note position="right" xlink:label="note-0731-04" xlink:href="note-0731-04a" xml:space="preserve">1435.</note>
            roidis ad Tellurem dirigatur; </s>
            <s xml:id="echoid-s19271" xml:space="preserve">unde videmus, quare Luna
              <lb/>
            eandem faciem ſemper Telluri obvertat; </s>
            <s xml:id="echoid-s19272" xml:space="preserve">quâ continuâ agi-
              <lb/>
            tatione, Luna tandem acquiſivit motum circa axem, de quo
              <lb/>
              <note position="right" xlink:label="note-0731-05" xlink:href="note-0731-05a" xml:space="preserve">1436.</note>
            antea egimus : </s>
            <s xml:id="echoid-s19273" xml:space="preserve">qui motus neceſſario eodem tempore peragi.</s>
            <s xml:id="echoid-s19274" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0731-06" xlink:href="note-0731-06a" xml:space="preserve">970. 1092.</note>
            tur, in quo Luna revolvitur; </s>
            <s xml:id="echoid-s19275" xml:space="preserve">nam ex actione memoratâ, ſe
              <lb/>
            ad celeritatem talem neceſſariò conſtituit; </s>
            <s xml:id="echoid-s19276" xml:space="preserve">ſi enim major fo-
              <lb/>
            ret celeritas, vi, quâ eadem facies ad Tellurem ſemper di-
              <lb/>
            rigitur, continuò retardaretur; </s>
            <s xml:id="echoid-s19277" xml:space="preserve">acceleraretur continuò ſi
              <lb/>
            minor foret. </s>
            <s xml:id="echoid-s19278" xml:space="preserve">Vis tamen hæc non eſt ſatis magna, ut in ſin-
              <lb/>
            gulis revolutionibus æquabilitatem motus acquiſiti circa
              <lb/>
            axem ſenſibiliter turbet: </s>
            <s xml:id="echoid-s19279" xml:space="preserve">Ideò motus circa axem æquabilis eſt,
              <lb/>
              <note position="right" xlink:label="note-0731-07" xlink:href="note-0731-07a" xml:space="preserve">1437.</note>
            licèt motu inæquali in orbitâ moveatur Luna . </s>
            <s xml:id="echoid-s19280" xml:space="preserve">Situs
              <note symbol="*" position="right" xlink:label="note-0731-08" xlink:href="note-0731-08a" xml:space="preserve">966.</note>
            axis Lunæ, non vi memoratâ ita poteſt mutari, ut ad Planum
              <lb/>
            orbitæ, dum hujus inclinatio mutatur , ſemper
              <note symbol="*" position="right" xlink:label="note-0731-09" xlink:href="note-0731-09a" xml:space="preserve">1345.</note>
            cularis ſit, idcircò ad Planum orbitæ aliquando inclinatur
              <lb/>
              <note position="right" xlink:label="note-0731-10" xlink:href="note-0731-10a" xml:space="preserve">1438.</note>
            axis Lunæ, ut antea vidimus .</s>
            <s xml:id="echoid-s19281" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0731-11" xlink:href="note-0731-11a" xml:space="preserve">1093.</note>
            </s>
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        <div xml:id="echoid-div2914" type="section" level="1" n="682">
          <head xml:id="echoid-head888" xml:space="preserve">FINIS LIBRI QUARTI.</head>
          <figure number="97">
            <image file="0731-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0731-01"/>
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