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

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          <p>
            <s xml:id="echoid-s18538" xml:space="preserve">
              <pb o="(180)" file="0710" n="781" rhead="PHYSICES ELEMENTA"/>
            gr. </s>
            <s xml:id="echoid-s18539" xml:space="preserve">16′, Apſides regrediuntur, id eſt in antecedentiâ moventur .</s>
            <s xml:id="echoid-s18540" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">1316. 1290.
            <lb/>
          1307.</note>
          <p>
            <s xml:id="echoid-s18541" xml:space="preserve">Vires à quibus progreſſus & </s>
            <s xml:id="echoid-s18542" xml:space="preserve">regreſſus Apſidum pendent
              <lb/>
              <note position="left" xlink:label="note-0710-02" xlink:href="note-0710-02a" xml:space="preserve">1319.</note>
            ſunt vires motum Lunæ turbantes, antea explicatæ ; </s>
            <s xml:id="echoid-s18543" xml:space="preserve">ideo,
              <lb/>
            cùm vis turbans in Syzygiis, ſit dupla vis turbantis in Qua-
              <lb/>
            draturis , progreſſus, integrâ conſideratâ Lunæ
              <note symbol="*" position="left" xlink:label="note-0710-03" xlink:href="note-0710-03a" xml:space="preserve">1296.</note>
            regreſſum ſuperat, cæteris paribus.</s>
            <s xml:id="echoid-s18544" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18545" xml:space="preserve">In circulo, cujus centrum in centro virium datur, diminu-
              <lb/>
            tio vis, in receſſu à centro, nullum edit effectum; </s>
            <s xml:id="echoid-s18546" xml:space="preserve">quia in
              <lb/>
            hac lineâ non à centro recedit corpus; </s>
            <s xml:id="echoid-s18547" xml:space="preserve">Idcirco effectus di-
              <lb/>
            minutionis hujus eſt eo major, quo à tali circulo magis diſ-
              <lb/>
            fert curva, quam corpus deſcribit.</s>
            <s xml:id="echoid-s18548" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18549" xml:space="preserve">In orbitâ Ellipticâ, cujus Focorum alter cum virium cen-
              <lb/>
            tro coincidit, curvatura in Apſidibus omnium maximè à tali
              <lb/>
              <note position="left" xlink:label="note-0710-04" xlink:href="note-0710-04a" xml:space="preserve">1320.</note>
            circulo differt, & </s>
            <s xml:id="echoid-s18550" xml:space="preserve">effectus diminutionis vis in receſſu à vi-
              <lb/>
            rium centro, eſt omniùm maximus. </s>
            <s xml:id="echoid-s18551" xml:space="preserve">Si orbita hæc parum fue-
              <lb/>
              <note position="left" xlink:label="note-0710-05" xlink:href="note-0710-05a" xml:space="preserve">1321.</note>
            rit excentrica, in extremitatibus axeos minoris parum ad-
              <lb/>
            modum à circulo memorato differt Ellipſis, & </s>
            <s xml:id="echoid-s18552" xml:space="preserve">diminutionis
              <lb/>
            effectus eſt omnium minimus.</s>
            <s xml:id="echoid-s18553" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18554" xml:space="preserve">Progreſſus, & </s>
            <s xml:id="echoid-s18555" xml:space="preserve">regreſſus, Apſidum pendent à proportio-
              <lb/>
              <note position="left" xlink:label="note-0710-06" xlink:href="note-0710-06a" xml:space="preserve">1322.</note>
            ne, juxta quam decreſcit vis gravitatis recedendo à Tel-
              <lb/>
            luris centro ; </s>
            <s xml:id="echoid-s18556" xml:space="preserve">eſt ideò effectus diminutionis vis centralis.</s>
            <s xml:id="echoid-s18557" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">1315. 1316.</note>
          <p>
            <s xml:id="echoid-s18558" xml:space="preserve">Varias ſubit mutationes explicatus Apſidum motus; </s>
            <s xml:id="echoid-s18559" xml:space="preserve">om-
              <lb/>
              <note position="left" xlink:label="note-0710-08" xlink:href="note-0710-08a" xml:space="preserve">
                <emph style="sc">TAB. XXV</emph>
              .</note>
            nium celerrimè progrediuntur Apſides, in Lunæ revolutione,
              <lb/>
              <note position="left" xlink:label="note-0710-09" xlink:href="note-0710-09a" xml:space="preserve">fig. 2.</note>
            poſitâ Apſidum lineâ in bis ; </s>
            <s xml:id="echoid-s18560" xml:space="preserve">& </s>
            <s xml:id="echoid-s18561" xml:space="preserve">in boc ipſo caſu omnium
              <note position="left" xlink:label="note-0710-10" xlink:href="note-0710-10a" xml:space="preserve">1323.</note>
              <note symbol="*" position="left" xlink:label="note-0710-11" xlink:href="note-0710-11a" xml:space="preserve">1317. 1322.</note>
            ſimè, in eâdem revolutione remeant ; </s>
            <s xml:id="echoid-s18562" xml:space="preserve">quia, propter
              <note position="left" xlink:label="note-0710-12" xlink:href="note-0710-12a" xml:space="preserve">1320.</note>
            Lunæ excentricitatem, parum, ab extremitatibus axeos mi-
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0710-13" xlink:href="note-0710-13a" xml:space="preserve">1318. 1322.
                <lb/>
              1321.</note>
            noris orbitæ diſtant Quadraturæ.</s>
            <s xml:id="echoid-s18563" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s18564" xml:space="preserve">Poſitâ lineâ Apſiaum in Quadraturis, omnium minimè in
              <lb/>
              <note position="left" xlink:label="note-0710-14" xlink:href="note-0710-14a" xml:space="preserve">1324.</note>
            Syzygiis in conſequentiâ feruntur Apſides ; </s>
            <s xml:id="echoid-s18565" xml:space="preserve">celerrimè
              <note position="left" xlink:label="note-0710-15" xlink:href="note-0710-15a" xml:space="preserve">
                <emph style="sc">TAB. XXV</emph>
              .</note>
              <note position="left" xlink:label="note-0710-16" xlink:href="note-0710-16a" xml:space="preserve">fig. 3.</note>
            tem redeunt in Quadraturis ; </s>
            <s xml:id="echoid-s18566" xml:space="preserve">&</s>
            <s xml:id="echoid-s18567" xml:space="preserve">, in boc caſu, in
              <note symbol="*" position="left" xlink:label="note-0710-17" xlink:href="note-0710-17a" xml:space="preserve">1317. 1322.</note>
            Lunæ revolutione, regreſſus progreſſum ſuperat.</s>
            <s xml:id="echoid-s18568" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">1321.</note>
          <note symbol="*" position="left" xml:space="preserve">1318. 1322.</note>
          <p>
            <s xml:id="echoid-s18569" xml:space="preserve">Dum Tellus in orbitâ transfertur, linea Apſidum ſucceſ-
              <lb/>
              <note position="left" xlink:label="note-0710-20" xlink:href="note-0710-20a" xml:space="preserve">1320.</note>
            ſivè omnes acquirit ſitus reſpectu Solis; </s>
            <s xml:id="echoid-s18570" xml:space="preserve">quare plurimis re-
              <lb/>
              <note position="left" xlink:label="note-0710-21" xlink:href="note-0710-21a" xml:space="preserve">1325.</note>
            volutionibus Lunæ ſimul conſideratis progrediuntur Apſides
              <note symbol="*" position="left" xlink:label="note-0710-22" xlink:href="note-0710-22a" xml:space="preserve">1319.</note>
            & </s>
            <s xml:id="echoid-s18571" xml:space="preserve">ex obſervationibus conſtat, in ſpatio circiter octo anno-
              <lb/>
            rum lineam Apſidum integram peragere revolutionem.</s>
            <s xml:id="echoid-s18572" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18573" xml:space="preserve">Orbitæ excentricitatem etiam inconſtantem eſſe diximus.</s>
            <s xml:id="echoid-s18574" xml:space="preserve"/>
          </p>
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