Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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          <pb o="(171)" file="0699" n="769" rhead="MATHEMATICA LIB. IV. CAP. XVI."/>
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            <s xml:id="echoid-s18199" xml:space="preserve">Exhiſce deducimus, ſi, dum Luna & </s>
            <s xml:id="echoid-s18200" xml:space="preserve">Tellus circa commu-
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            ne centrum gravitatis in gyrum moventur, ambæ proji-
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            ciantur, viam centri gravitatis ex actione Solis, in utrum-
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            que corpus agenti, illam eſſe, quam corpus, eodem modo
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            projectum, circa Solem deſcribere poſſet.</s>
            <s xml:id="echoid-s18201" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s18202" xml:space="preserve">Unde ſequitur Lunam motum Telluris turbare, & </s>
            <s xml:id="echoid-s18203" xml:space="preserve">cen-
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              <note position="right" xlink:label="note-0699-01" xlink:href="note-0699-01a" xml:space="preserve">1281.</note>
            trum commune gravitatis borum corporum de ſcribere orbitam,
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            circa Solem, quam buc uſque à Tellure ipſâ deſcriptam dixi-
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            mus; </s>
            <s xml:id="echoid-s18204" xml:space="preserve">quia ad actionem Lunæ huc uſque non attendimus;
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            </s>
            <s xml:id="echoid-s18205" xml:space="preserve">Tellus autem deſcribit curvam irregularem. </s>
            <s xml:id="echoid-s18206" xml:space="preserve">
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              <note position="right" xlink:label="note-0699-02" xlink:href="note-0699-02a" xml:space="preserve">1282.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s18207" xml:space="preserve">Poſito Sole in S; </s>
            <s xml:id="echoid-s18208" xml:space="preserve">ſit, in F, centrum commune gravita-
              <lb/>
              <note position="right" xlink:label="note-0699-03" xlink:href="note-0699-03a" xml:space="preserve">1283.</note>
            tis Lunæ Q & </s>
            <s xml:id="echoid-s18209" xml:space="preserve">Telluris M, in Plenilunio: </s>
            <s xml:id="echoid-s18210" xml:space="preserve">poſt integram Lu-
              <lb/>
              <note position="right" xlink:label="note-0699-04" xlink:href="note-0699-04a" xml:space="preserve">TAB. XXIV.</note>
              <note position="right" xlink:label="note-0699-05" xlink:href="note-0699-05a" xml:space="preserve">fig. 4.</note>
            nationem, id eſt iterum in Plenilunio, ſit hocce centrum in
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            A; </s>
            <s xml:id="echoid-s18211" xml:space="preserve">& </s>
            <s xml:id="echoid-s18212" xml:space="preserve">ſit FDA orbita, quam Telluris vocamus, & </s>
            <s xml:id="echoid-s18213" xml:space="preserve">in qua
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            memoratum centrum gravitatis reverâ movetur.</s>
            <s xml:id="echoid-s18214" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18215" xml:space="preserve">Sit Lunatio hæc diviſa in quatuor partes æquales; </s>
            <s xml:id="echoid-s18216" xml:space="preserve">poſt
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            primam centrum gravitatis erit in E, Luna in P, Tellus in
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            L; </s>
            <s xml:id="echoid-s18217" xml:space="preserve">lapsâ ſecundâ temporis parte, in Novilunio, centrum
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            gravitatis erit in D, Luna in R, Tellus in I; </s>
            <s xml:id="echoid-s18218" xml:space="preserve">in quadraturâ
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            ſequenti, centrum gravitatis erit in B, Luna in O, Tellus
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            in H; </s>
            <s xml:id="echoid-s18219" xml:space="preserve">tandem in Plenilunio poſito centro gravitatis in A,
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            Luna erit in N, Tellus in G: </s>
            <s xml:id="echoid-s18220" xml:space="preserve">quæ omnia ſequuntur ex re-
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            volutione Telluris & </s>
            <s xml:id="echoid-s18221" xml:space="preserve">Lunæ circa commune centrum gravi-
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            tatis, dum hoc in orbitâ circa Solem movetur.</s>
            <s xml:id="echoid-s18222" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18223" xml:space="preserve">Videmus ergo Tellurem moveri in curvâ MLIHG, quæ
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            in ſingulis Lunationibus bis inflectitur, quæ curva etiam in
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            ſe non redit, quia inflectiones, in variis revolutionibus circa
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            Solem, non coincidunt; </s>
            <s xml:id="echoid-s18224" xml:space="preserve">quia duodecim Lunationes cum
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            tertiâ parte circiter ſingulis annis abſolvuntur.</s>
            <s xml:id="echoid-s18225" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18226" xml:space="preserve">Irregularitas hæc motus Telluris, quæ ex legibus Naturæ
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              <note position="right" xlink:label="note-0699-06" xlink:href="note-0699-06a" xml:space="preserve">1284.</note>
            deducitur, nimium eſt exigua, ut in obſervationibus Aſtro-
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            nomicis ſenſibilis ſit; </s>
            <s xml:id="echoid-s18227" xml:space="preserve">quare ſine errore ponimus, centrum ip-
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            ſum Telluris orbitam FDA percurrere; </s>
            <s xml:id="echoid-s18228" xml:space="preserve">nam MF, aut
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            DI, diſtantia maxima Telluris ab hac orbitâ, eſt circiter
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            pars quadrageſima diſtantiæ MR, quæ ipſa non eſt trecen-
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            teſima pars diſtantiæ FS.</s>
            <s xml:id="echoid-s18229" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18230" xml:space="preserve">Etiam, in explicandis quæ Lunam ſpectant, negligimus con-
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              <note position="right" xlink:label="note-0699-07" xlink:href="note-0699-07a" xml:space="preserve">1285.</note>
            </s>
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