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

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            <s xml:id="echoid-s19207" xml:space="preserve">
              <pb o="(198)" file="0730" n="802" rhead="PHYSICES ELEMENTA"/>
            ſitatibus poteſt conferri , eſtque Luna Tellure denſior.</s>
            <s xml:id="echoid-s19208" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0730-01" xlink:href="note-0730-01a" xml:space="preserve">1260.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s19209" xml:space="preserve">Quantitates materiæ in duobus corporibus ſunt inter ſe in ra-
              <lb/>
            tione compoſitâ denſitatum & </s>
            <s xml:id="echoid-s19210" xml:space="preserve">voluminum , id eſt, ſi de
              <note symbol="*" position="left" xlink:label="note-0730-02" xlink:href="note-0730-02a" xml:space="preserve">288. 79.</note>
            agatur, in ratione compoſitâ denſitatum & </s>
            <s xml:id="echoid-s19211" xml:space="preserve">cuborum diametrorum.</s>
            <s xml:id="echoid-s19212" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19213" xml:space="preserve">Lunæ & </s>
            <s xml:id="echoid-s19214" xml:space="preserve">Telluris denſitates ſunt inter ſe, ut 48911. </s>
            <s xml:id="echoid-s19215" xml:space="preserve">ad
              <lb/>
              <note position="left" xlink:label="note-0730-03" xlink:href="note-0730-03a" xml:space="preserve">1428.</note>
            39214. </s>
            <s xml:id="echoid-s19216" xml:space="preserve">; </s>
            <s xml:id="echoid-s19217" xml:space="preserve">diametri ut 11. </s>
            <s xml:id="echoid-s19218" xml:space="preserve">ad 40,2. </s>
            <s xml:id="echoid-s19219" xml:space="preserve">ideò quantitates
              <note symbol="*" position="left" xlink:label="note-0730-04" xlink:href="note-0730-04a" xml:space="preserve">1427. 1260.</note>
            in his corporibus, ut 1. </s>
            <s xml:id="echoid-s19220" xml:space="preserve">ad 39,13. </s>
            <s xml:id="echoid-s19221" xml:space="preserve">Licèt denſitates detegan-
              <lb/>
            tur, poſitis corporibus homogeneis, quantitates materiæ re-
              <lb/>
            ctè definiuntur, quamvis corpora homogenea non ſint; </s>
            <s xml:id="echoid-s19222" xml:space="preserve">nam
              <lb/>
            illam determinamus denſitatem, quam corpus haberet, ſimateria,
              <lb/>
            ex qua corpus reverâ conſtat, per hoc æqualiter diſpergeretur.</s>
            <s xml:id="echoid-s19223" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19224" xml:space="preserve">Gravitates in ſuperficiebus Telluris & </s>
            <s xml:id="echoid-s19225" xml:space="preserve">Lunæ determi-
              <lb/>
              <note position="left" xlink:label="note-0730-05" xlink:href="note-0730-05a" xml:space="preserve">1429.</note>
            nantur, multiplicando denſitates per diametros id eſt ſunt
              <note symbol="*" position="left" xlink:label="note-0730-06" xlink:href="note-0730-06a" xml:space="preserve">1230.</note>
            ter ſe, ut 2,93. </s>
            <s xml:id="echoid-s19226" xml:space="preserve">ad 1.</s>
            <s xml:id="echoid-s19227" xml:space="preserve">, aut ut 407,8. </s>
            <s xml:id="echoid-s19228" xml:space="preserve">ad 139,2. </s>
            <s xml:id="echoid-s19229" xml:space="preserve">qui nume-
              <lb/>
            rus etiam exprimit relationem gravitatis in ſuperficie Lunæ,
              <lb/>
            cum gravitate in ſuperficiebus Solis, Jovis, & </s>
            <s xml:id="echoid-s19230" xml:space="preserve">Saturni .</s>
            <s xml:id="echoid-s19231" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0730-07" xlink:href="note-0730-07a" xml:space="preserve">1258.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s19232" xml:space="preserve">Centrum commune gravitatis Lunæ & </s>
            <s xml:id="echoid-s19233" xml:space="preserve">Telluris, circa
              <lb/>
              <note position="left" xlink:label="note-0730-08" xlink:href="note-0730-08a" xml:space="preserve">1430.</note>
            quod ambo corpora moventur, determinatur; </s>
            <s xml:id="echoid-s19234" xml:space="preserve">nam hujus à
              <lb/>
            Telluris centro diſtantia, eſt ad diſtantiam intra centra ambo-
              <lb/>
            rum corporum, ut quantitas materiæ in Lunâ ad quantitatem
              <lb/>
            materiæ in ambobus corporibus ; </s>
            <s xml:id="echoid-s19235" xml:space="preserve">itaque 40,13. </s>
            <s xml:id="echoid-s19236" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s19237" xml:space="preserve">ut
              <note symbol="*" position="left" xlink:label="note-0730-09" xlink:href="note-0730-09a" xml:space="preserve">234. 235.</note>
            næ diſtantia à Tellure ad diſtantiam quæſitam centri gravitatis
              <lb/>
            à centro Telluris, quæ detegitur 5126950. </s>
            <s xml:id="echoid-s19238" xml:space="preserve">perticarum, ut
              <lb/>
            ex notis Telluris diametro , & </s>
            <s xml:id="echoid-s19239" xml:space="preserve">Lunæ diſtantiâ deducitur.</s>
            <s xml:id="echoid-s19240" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0730-10" xlink:href="note-0730-10a" xml:space="preserve">976.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s19241" xml:space="preserve">Ut Lunæfiguram determinemus, examinanda eſt figura, quam,
              <lb/>
              <note position="left" xlink:label="note-0730-11" xlink:href="note-0730-11a" xml:space="preserve">1431.</note>
            ſi fluida foret, acquireret . </s>
            <s xml:id="echoid-s19242" xml:space="preserve">Si Lunam ſolam conſideremus
              <note symbol="*" position="left" xlink:label="note-0730-12" xlink:href="note-0730-12a" xml:space="preserve">1358.</note>
            eſcentem, ſphærica erit . </s>
            <s xml:id="echoid-s19243" xml:space="preserve">Si actionem Telluris in Lunam
              <note symbol="*" position="left" xlink:label="note-0730-13" xlink:href="note-0730-13a" xml:space="preserve">1359.</note>
            ſideremus, acquireret Luna figuram ſphæroidis, cujus axis per
              <lb/>
            Tellurem tranſiret . </s>
            <s xml:id="echoid-s19244" xml:space="preserve">Vis Telluris ad Lunæ figuram
              <note symbol="*" position="left" xlink:label="note-0730-14" xlink:href="note-0730-14a" xml:space="preserve">1392.</note>
            eſt ad vim Lunæ in Tellurem, ut 39,13. </s>
            <s xml:id="echoid-s19245" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s19246" xml:space="preserve"> & </s>
            <s xml:id="echoid-s19247" xml:space="preserve">ut
              <note symbol="*" position="left" xlink:label="note-0730-15" xlink:href="note-0730-15a" xml:space="preserve">1428. 1207.</note>
            Lunæ ad Telluris diametrum , quæ ſunt inter ſe, ut 11 ad 40.</s>
            <s xml:id="echoid-s19248" xml:space="preserve">2.</s>
            <s xml:id="echoid-s19249" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0730-16" xlink:href="note-0730-16a" xml:space="preserve">1390. 1354.</note>
            eſtque ratio compoſita ex his 10,7. </s>
            <s xml:id="echoid-s19250" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s19251" xml:space="preserve">Hæc vis Lunæ eſt ad
              <lb/>
            gravitatem in ſuperficie Telluris, ut 1. </s>
            <s xml:id="echoid-s19252" xml:space="preserve">ad 2871485 ; </s>
            <s xml:id="echoid-s19253" xml:space="preserve">quæ
              <note symbol="*" position="left" xlink:label="note-0730-17" xlink:href="note-0730-17a" xml:space="preserve">1420.</note>
            vitas in Telluris ſuperficie eſt ad gravitatem in ſuperficie Lu-
              <lb/>
            næ, ut 407,8. </s>
            <s xml:id="echoid-s19254" xml:space="preserve">ad 139,2. </s>
            <s xml:id="echoid-s19255" xml:space="preserve"> aut ut 2871485′, ad 980028.</s>
            <s xml:id="echoid-s19256" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0730-18" xlink:href="note-0730-18a" xml:space="preserve">1429.</note>
            quare actio Telluris ad mutandam Lunæ figuram, ad gravita-
              <lb/>
              <note position="left" xlink:label="note-0730-19" xlink:href="note-0730-19a" xml:space="preserve">1432.</note>
            tem in ſuperficie Lunæ, ut 10,7. </s>
            <s xml:id="echoid-s19257" xml:space="preserve">ad 980028, aut ut 1. </s>
            <s xml:id="echoid-s19258" xml:space="preserve">ad 91524.</s>
            <s xml:id="echoid-s19259" xml:space="preserve"/>
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