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

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            <s xml:id="echoid-s18725" xml:space="preserve">
              <pb o="185" file="0715" n="786" rhead="MATHEMATICA LIB. IV. CAP. XVII."/>
            tegrâ Lunæ revolutione, vis, quæ inclinationem auget, ſupe-
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0715-01" xlink:href="note-0715-01a" xml:space="preserve">1337. 1345.</note>
            ratillam, quæ hanc minuit; </s>
            <s xml:id="echoid-s18726" xml:space="preserve">idcirco augetur inclinatio; </s>
            <s xml:id="echoid-s18727" xml:space="preserve">& </s>
            <s xml:id="echoid-s18728" xml:space="preserve">
              <note position="right" xlink:label="note-0715-02" xlink:href="note-0715-02a" xml:space="preserve">1352.</note>
            omnium maxima verſantibus Nodis in Quadr aturis, ubi rer-
              <lb/>
            minatur diminutio anguli à Plano orbitæ cum plano Eclipticæ
              <lb/>
            formati .</s>
            <s xml:id="echoid-s18729" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">1349.</note>
          <p style="it">
            <s xml:id="echoid-s18730" xml:space="preserve">Omnes, quos explicavimus, errores in motu Lunæ paululum
              <lb/>
              <note position="right" xlink:label="note-0715-04" xlink:href="note-0715-04a" xml:space="preserve">1353.</note>
            majores ſunt in conjunctione quàm in oppoſitione.</s>
            <s xml:id="echoid-s18731" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">1295.</note>
          <p>
            <s xml:id="echoid-s18732" xml:space="preserve">Determinantur vires omnes perturbantes, detegendo ha-
              <lb/>
              <note position="right" xlink:label="note-0715-06" xlink:href="note-0715-06a" xml:space="preserve">1354.</note>
            rum relationem cum augmento gravitatis in Quadraturis ;</s>
            <s xml:id="echoid-s18733" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0715-07" xlink:href="note-0715-07a" xml:space="preserve">1306. 1307.</note>
            quare omnes easdem mutationes ſubeunt cum hoc augmento,
              <lb/>
              <note position="right" xlink:label="note-0715-08" xlink:href="note-0715-08a" xml:space="preserve">1336.</note>
            id eſt, ſunt inversè, ut cubus diſtantiæ Solis à Tellure ,
              <note symbol="*" position="right" xlink:label="note-0715-09" xlink:href="note-0715-09a" xml:space="preserve">1289.</note>
            manente, ſunt ut diſtantia Lunæ à Tellure . </s>
            <s xml:id="echoid-s18734" xml:space="preserve">Omnes
              <note symbol="*" position="right" xlink:label="note-0715-10" xlink:href="note-0715-10a" xml:space="preserve">1288.</note>
            perturbantes ſimul conſiderando prævalet gravitatis diminu-
              <lb/>
              <note position="right" xlink:label="note-0715-11" xlink:href="note-0715-11a" xml:space="preserve">1355.</note>
            tio ; </s>
            <s xml:id="echoid-s18735" xml:space="preserve">quod ex progreſſu Apſidum immediaté ſequitur; </s>
            <s xml:id="echoid-s18736" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0715-12" xlink:href="note-0715-12a" xml:space="preserve">1296.</note>
            ex hoc patet, plurimis ſimul conſideratis revolutionibus, effe-
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0715-13" xlink:href="note-0715-13a" xml:space="preserve">970. 1325.</note>
            ctum diminutionis gravitatis ſuperare effectum augmenti .</s>
            <s xml:id="echoid-s18737" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0715-14" xlink:href="note-0715-14a" xml:space="preserve">1317. 1318.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s18738" xml:space="preserve">Ergo motu Lunæ generaliter conſiderato, minuitur gra-
              <lb/>
              <note position="right" xlink:label="note-0715-15" xlink:href="note-0715-15a" xml:space="preserve">1356.</note>
            vitas Lunæ in Tellurem acceſſu Solis ; </s>
            <s xml:id="echoid-s18739" xml:space="preserve">ideòque, cùm
              <note symbol="*" position="right" xlink:label="note-0715-16" xlink:href="note-0715-16a" xml:space="preserve">1355. 1354.</note>
            nus à Tellure trahatur, ab hac magis recedit, quàm recederet,
              <lb/>
            ſi talis gravitatis diminutio non daretur; </s>
            <s xml:id="echoid-s18740" xml:space="preserve">augetur ergo in hoc
              <lb/>
            caſu Lunæ diſtantia, etiam tempus periodicum ; </s>
            <s xml:id="echoid-s18741" xml:space="preserve">& </s>
            <s xml:id="echoid-s18742" xml:space="preserve">
              <note position="right" xlink:label="note-0715-17" xlink:href="note-0715-17a" xml:space="preserve">1357.</note>
            hoc maximum eſt, ut & </s>
            <s xml:id="echoid-s18743" xml:space="preserve">diſtantia Lunæ, cæteris paribus,
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0715-18" xlink:href="note-0715-18a" xml:space="preserve">224.</note>
            maxima, verſante Tellure in Perihelio , quia omnium
              <note symbol="*" position="right" xlink:label="note-0715-19" xlink:href="note-0715-19a" xml:space="preserve">1354.</note>
            nime à Sole diſtat.</s>
            <s xml:id="echoid-s18744" xml:space="preserve"/>
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        <div xml:id="echoid-div2850" type="section" level="1" n="677">
          <head xml:id="echoid-head879" xml:space="preserve">CAPUT XVII.</head>
          <head xml:id="echoid-head880" style="it" xml:space="preserve">De Planetarum Figuris.</head>
          <p>
            <s xml:id="echoid-s18745" xml:space="preserve">Si ad Planetarum figuras attendamus, talibus illos præditos
              <lb/>
            detegimus, quæ ex ipſis, quibus ſyſtema regitur, legibus
              <lb/>
            ſequitur; </s>
            <s xml:id="echoid-s18746" xml:space="preserve">quod ordini mirabili, quem ubique obſervamus, ad-
              <lb/>
            modum congruum eſt, nullas in Planetas agere vires ad hos
              <lb/>
            deſtruendos; </s>
            <s xml:id="echoid-s18747" xml:space="preserve">id eſt illam eſſe Planetæ, ſive primarii, ſive ſe-
              <lb/>
              <note position="right" xlink:label="note-0715-20" xlink:href="note-0715-20a" xml:space="preserve">1358.</note>
            cundarii, figuram, quam acquireret, ſi totus ex materiâ flui-
              <lb/>
            dâ conſtaret; </s>
            <s xml:id="echoid-s18748" xml:space="preserve">quod Phœnomenis congruit.</s>
            <s xml:id="echoid-s18749" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18750" xml:space="preserve">Unde ſequitur Planetas omnes primarios, & </s>
            <s xml:id="echoid-s18751" xml:space="preserve">ſecundarios,
              <lb/>
              <note position="right" xlink:label="note-0715-21" xlink:href="note-0715-21a" xml:space="preserve">1359.</note>
            eſſe ſphæricos; </s>
            <s xml:id="echoid-s18752" xml:space="preserve">conſtant enim ex materiâ cujus particulæ in
              <lb/>
            ſe mutuo graves ſunt ; </s>
            <s xml:id="echoid-s18753" xml:space="preserve">ex qua mutuâ attractione
              <note symbol="*" position="right" xlink:label="note-0715-22" xlink:href="note-0715-22a" xml:space="preserve">1206. 1207.</note>
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