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

Table of contents

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[671.] LIBERI IV. Pars II. Motuum Cœleſtium Cauſæ Phyſicæ. CAPUT XI. De univerſali Gravitate.
Page: 744 ((146))
[672.] CAPUT XII. De Materiâ Cœleſti; ubi Vacuum dari probatur.
Page: 751 ((153))
[673.] CAPUT XIII. De Motu Telluris.
Page: 755 (157)
[674.] CAPUT XIV. De Denſitate Planetarum.
Page: 758 (160)
[675.] CAPUT XV. Totius Syſtematis Planetarii explicatio Phyſica.
Page: 763 (165)
[676.] CAPUT XVI. Motus Lunæ Explicatio Phyſica.
Page: 768 ((170))
[677.] CAPUT XVII. De Planetarum Figuris.
Page: 786 (185)
[678.] CAPUT XVIII. Motus Axeos Telluris Explicatio Phyſica.
Page: 790 (189)
[679.] CAPUT XIX. De Æſtu Maris.
Page: 792 (191)
[680.] Definitio.
Page: 793 (192)
[681.] CAPUT XX. De Lunæ Denſitate & Figurâ.
Page: 801 ((197))
[682.] FINIS LIBRI QUARTI.
Page: 803 ((199))
[683.] INDEX RERUM, Numeri (1), (11), deſignant Tomum pri-mum & ſecundum, p. denotat paginam, & n. numerum in margine.
Page: 805
[684.] FINIS. CATALOGUE Des LIVRES Nouvellement Imprimez à LEIDE, chez PIERRE VANDER Aa.
Page: 815
[685.] FINIS.
Page: 816
[686.] Tom. II. In fine poſt Indicem. USUS TABULÆ.
Page: 818
[687.] TABULA Demonſtrans quorundam numerorum 1æ. & 2dæ. Editionis convenientiam.
Page: 818
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          <p>
            <s xml:id="echoid-s18968" xml:space="preserve">
              <pb o="192" file="0722" n="793" rhead="PHYSICES ELEMENTA"/>
            centrum tendentes, & </s>
            <s xml:id="echoid-s18969" xml:space="preserve">cum hujus maſſà, etiam verſus Lu-
              <lb/>
            nam continuò cadentes; </s>
            <s xml:id="echoid-s18970" xml:space="preserve">quâ vi, ut vidimus , Tellus
              <note symbol="*" position="left" xlink:label="note-0722-01" xlink:href="note-0722-01a" xml:space="preserve">1280.</note>
            netur in orbitâ, circa commune gravitatis centrum hujus & </s>
            <s xml:id="echoid-s18971" xml:space="preserve">
              <lb/>
            Lunæ.</s>
            <s xml:id="echoid-s18972" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18973" xml:space="preserve">Sit S Luna; </s>
            <s xml:id="echoid-s18974" xml:space="preserve">ALBl ſuperficies Telluris, cujus maſſa ad
              <lb/>
              <note position="left" xlink:label="note-0722-02" xlink:href="note-0722-02a" xml:space="preserve">1391.</note>
            Lunam tendit, quaſi tota in T eſſet coacta; </s>
            <s xml:id="echoid-s18975" xml:space="preserve">ex actione Lu-
              <lb/>
              <note position="left" xlink:label="note-0722-03" xlink:href="note-0722-03a" xml:space="preserve">
                <emph style="sc">TAB. XXV</emph>
              .</note>
              <note position="left" xlink:label="note-0722-04" xlink:href="note-0722-04a" xml:space="preserve">fig. 1.</note>
            næ particulæ aqueæ A & </s>
            <s xml:id="echoid-s18976" xml:space="preserve">B verſus T majorem acquirunt gra-
              <lb/>
            vitatem ; </s>
            <s xml:id="echoid-s18977" xml:space="preserve">contra particulæ in L, l, ex gravitate
              <note symbol="*" position="left" xlink:label="note-0722-05" xlink:href="note-0722-05a" xml:space="preserve">1287.</note>
            tunt . </s>
            <s xml:id="echoid-s18978" xml:space="preserve">Unde deducimus, ſi tota Tellus aquâ
              <note symbol="*" position="left" xlink:label="note-0722-06" xlink:href="note-0722-06a" xml:space="preserve">1296.</note>
            æquilibrium non dari, niſi magis elevata ſit hæc aqua, in
              <lb/>
            punctis L & </s>
            <s xml:id="echoid-s18979" xml:space="preserve">l, quàm in toto circulo ab his punctis 90. </s>
            <s xml:id="echoid-s18980" xml:space="preserve">gr.
              <lb/>
            </s>
            <s xml:id="echoid-s18981" xml:space="preserve">diſtanti; </s>
            <s xml:id="echoid-s18982" xml:space="preserve">& </s>
            <s xml:id="echoid-s18983" xml:space="preserve">ideò per puncta A & </s>
            <s xml:id="echoid-s18984" xml:space="preserve">B tranſeunti. </s>
            <s xml:id="echoid-s18985" xml:space="preserve">Idcirco, a-
              <lb/>
            ctione Lunæ, aqua adipiſcitur figuram ſphæroidis, forma-
              <lb/>
              <note position="left" xlink:label="note-0722-07" xlink:href="note-0722-07a" xml:space="preserve">1392.</note>
            tam ex revolutione ovalis circa Axem majorem, qui conti-
              <lb/>
            nuatus per Lunam tranſit.</s>
            <s xml:id="echoid-s18986" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18987" xml:space="preserve">Ponamus Lunam in Æquatore; </s>
            <s xml:id="echoid-s18988" xml:space="preserve">omnes Sectiones Telluris
              <lb/>
            parallelæ ad Æquatorem, cùm etiam ſphæroidis axi parallelæ
              <lb/>
            ſint , ſunt ovales, quarum axes majores per Lunæ
              <note symbol="*" position="left" xlink:label="note-0722-08" xlink:href="note-0722-08a" xml:space="preserve">1392.</note>
            num tranſeunt; </s>
            <s xml:id="echoid-s18989" xml:space="preserve">unde ſequitur, Tellure quieſcente, in circulo
              <lb/>
              <note position="left" xlink:label="note-0722-09" xlink:href="note-0722-09a" xml:space="preserve">1393.</note>
            quocunque latitudinis, aquam magis elevari in Meridia-
              <lb/>
            no in quo Luna datur, & </s>
            <s xml:id="echoid-s18990" xml:space="preserve">in Meridiano oppoſito, quàm in
              <lb/>
            Locis intermediis.</s>
            <s xml:id="echoid-s18991" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div2880" type="section" level="1" n="680">
          <head xml:id="echoid-head885" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          .</head>
          <p>
            <s xml:id="echoid-s18992" xml:space="preserve">DiesLunaris, eſt tempus lapſum interreceſſum Lunæ à Me-
              <lb/>
              <note position="left" xlink:label="note-0722-10" xlink:href="note-0722-10a" xml:space="preserve">1394.</note>
            ridiano & </s>
            <s xml:id="echoid-s18993" xml:space="preserve">acceſſum ſequentem ad eundem. </s>
            <s xml:id="echoid-s18994" xml:space="preserve">Dies hæc in vi-
              <lb/>
            ginti quatuor horas Lunares dividitur. </s>
            <s xml:id="echoid-s18995" xml:space="preserve">Superat diem natura-
              <lb/>
            lem 50. </s>
            <s xml:id="echoid-s18996" xml:space="preserve">minutis.</s>
            <s xml:id="echoid-s18997" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18998" xml:space="preserve">Ex motu Telluris circa axem, ſingulis diebus Lunaribus, loca
              <lb/>
            ſingula per Meridianum Lunæ & </s>
            <s xml:id="echoid-s18999" xml:space="preserve">Meridianum oppoſirum tran-
              <lb/>
            ſeunt, id eſt bis ibi tranſeunt, ubi aquâ ex actione Lunæ eleva-
              <lb/>
              <note position="left" xlink:label="note-0722-11" xlink:href="note-0722-11a" xml:space="preserve">1395.</note>
            tur, & </s>
            <s xml:id="echoid-s19000" xml:space="preserve">bis ubi ex eâdem actione deprimitur ; </s>
            <s xml:id="echoid-s19001" xml:space="preserve">& </s>
            <s xml:id="echoid-s19002" xml:space="preserve">ſic in die
              <note symbol="*" position="left" xlink:label="note-0722-12" xlink:href="note-0722-12a" xml:space="preserve">1393.</note>
            nari Mare bis elevatur, bis deprimitur, in loco quocunque.</s>
            <s xml:id="echoid-s19003" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19004" xml:space="preserve">Ex motu Telluris circa axem, continuò aqua elevata à Meri-
              <lb/>
              <note position="left" xlink:label="note-0722-13" xlink:href="note-0722-13a" xml:space="preserve">1396.</note>
            diano Lunæ recedit; </s>
            <s xml:id="echoid-s19005" xml:space="preserve">actione tamen Lunæ, Sphæroidis axis
              <lb/>
            per Lunam tranſit; </s>
            <s xml:id="echoid-s19006" xml:space="preserve">ideò agitatur continuo aqua, ut
              <note symbol="*" position="left" xlink:label="note-0722-14" xlink:href="note-0722-14a" xml:space="preserve">1392.</note>
            tio, ex motu Telluris, remota, infra Lunam inſtauretur. </s>
            <s xml:id="echoid-s19007" xml:space="preserve">Ideò
              <lb/>
              <note position="left" xlink:label="note-0722-15" xlink:href="note-0722-15a" xml:space="preserve">
                <emph style="sc">TAB. XXV</emph>
              .</note>
              <note position="left" xlink:label="note-0722-16" xlink:href="note-0722-16a" xml:space="preserve">Fig. 6.</note>
            ab A & </s>
            <s xml:id="echoid-s19008" xml:space="preserve">B continuo verſus L & </s>
            <s xml:id="echoid-s19009" xml:space="preserve">l ſluit aqua. </s>
            <s xml:id="echoid-s19010" xml:space="preserve">dum ex </s>
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