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

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        <div xml:id="echoid-div854" type="section" level="1" n="217">
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            <s xml:id="echoid-s6059" xml:space="preserve">
              <pb o="153" file="0221" n="240" rhead="MATHEMATICA. LIB. I. CAP. XXIV."/>
            ergo actiones in eadem ratione ad partes oppoſitas; </s>
            <s xml:id="echoid-s6060" xml:space="preserve">id
              <lb/>
              <note position="right" xlink:label="note-0221-01" xlink:href="note-0221-01a" xml:space="preserve">561.</note>
            eſt, ſunt in ratione inverſa corporum motorum, in qua ea-
              <lb/>
            dem ratione ſunt velocitates corporibus communicatæ. </s>
            <s xml:id="echoid-s6061" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0221-02" xlink:href="note-0221-02a" xml:space="preserve">472.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s6062" xml:space="preserve">Caſus hic exſtat, ſi duo corpora elaſtica in ſe mutuo incur-
              <lb/>
              <note position="right" xlink:label="note-0221-03" xlink:href="note-0221-03a" xml:space="preserve">562.</note>
            rant velocitatibus quæ ſunt inversè ut maſſæ; </s>
            <s xml:id="echoid-s6063" xml:space="preserve">nam poſitis
              <lb/>
            his non elaſticis, poſt ictum quieſcunt; </s>
            <s xml:id="echoid-s6064" xml:space="preserve">ergo in ipſo mo-
              <lb/>
            mento concurſus, ante figuram inſtauratam, datur elaſte-
              <lb/>
            rium flexum inter duo corpora quieſcentia. </s>
            <s xml:id="echoid-s6065" xml:space="preserve">Separantur
              <lb/>
            ideo hæc velocitatibus quæ ſunt inversè ut maſſæ
              <note symbol="*" position="right" xlink:label="note-0221-04" xlink:href="note-0221-04a" xml:space="preserve">561.</note>
            id eſt, velocitates poſt ictum in eadem ſunt ratione in qua
              <lb/>
            ante ictum erant; </s>
            <s xml:id="echoid-s6066" xml:space="preserve">unde ſequitur corpus utrumque redire
              <lb/>
            eâdem velocitate quam ante ictum habuit, nam ſi minuatur
              <lb/>
            in uno, non ſervabitur ratio niſi & </s>
            <s xml:id="echoid-s6067" xml:space="preserve">in altero minuatur, qua-
              <lb/>
            re ſumma virium minor erit, quod impoſſibile ,
              <note symbol="*" position="right" xlink:label="note-0221-05" xlink:href="note-0221-05a" xml:space="preserve">558.</note>
            ſtratio eadem eſt ſi quis unius corporis auctam velocitatem
              <lb/>
            dicat.</s>
            <s xml:id="echoid-s6068" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6069" xml:space="preserve">Experimenta de corporibus elaſticis inſtituuntur alteru-
              <lb/>
            trâ Machinarum ſuperius explicatarum, & </s>
            <s xml:id="echoid-s6070" xml:space="preserve">adhibitis
              <note symbol="*" position="right" xlink:label="note-0221-06" xlink:href="note-0221-06a" xml:space="preserve">490. 491.</note>
            bis eburneis aut cylindris in fig. </s>
            <s xml:id="echoid-s6071" xml:space="preserve">3. </s>
            <s xml:id="echoid-s6072" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s6073" xml:space="preserve">18. </s>
            <s xml:id="echoid-s6074" xml:space="preserve">delinea-
              <lb/>
            tis.</s>
            <s xml:id="echoid-s6075" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div861" type="section" level="1" n="218">
          <head xml:id="echoid-head310" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s6076" xml:space="preserve">Corpora duo P & </s>
            <s xml:id="echoid-s6077" xml:space="preserve">Q, quorum maſſæ ſunt ut unum ad
              <lb/>
              <note position="right" xlink:label="note-0221-07" xlink:href="note-0221-07a" xml:space="preserve">563.</note>
            tria, in ſe mutuo incurrunt, hoc velocitate quinque, illud
              <lb/>
              <note position="right" xlink:label="note-0221-08" xlink:href="note-0221-08a" xml:space="preserve">TAB. XXI.
                <lb/>
              fig. 9.</note>
            velocitate quindecim, poſt ictum utrumque ad eandem fe-
              <lb/>
            rè à qua cecidit altitudinem redit.</s>
            <s xml:id="echoid-s6078" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6079" xml:space="preserve">Defectus elaſticitatis in cauſa eſt quare non exactè ad eaſ-
              <lb/>
            dem, à quibus cecidêre, redeant altitudines.</s>
            <s xml:id="echoid-s6080" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6081" xml:space="preserve">Quæ de elaſterio, inter corpora quieſcentia ſeſe expan-
              <lb/>
            dente, demonſtrata ſunt, ad elaſterium inter corpora, eâdem
              <lb/>
            cum his velocitate tranſlatum, & </s>
            <s xml:id="echoid-s6082" xml:space="preserve">reſpectu corporum
              <lb/>
            quieſcens, referri debent; </s>
            <s xml:id="echoid-s6083" xml:space="preserve">ſi ergo in nave duo corpora ela-
              <lb/>
              <note position="right" xlink:label="note-0221-09" xlink:href="note-0221-09a" xml:space="preserve">564.</note>
            ſtica velocitatibus, quæ ſunt inverſe ut maſſæ, in ſe mu-
              <lb/>
            tuo impingant, velocitatibus iiſdem in nave redibunt.</s>
            <s xml:id="echoid-s6084" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6085" xml:space="preserve">Poſitis quæ in n. </s>
            <s xml:id="echoid-s6086" xml:space="preserve">512. </s>
            <s xml:id="echoid-s6087" xml:space="preserve">dicta ſunt, in nave, quæ velocitate
              <lb/>
              <note position="right" xlink:label="note-0221-10" xlink:href="note-0221-10a" xml:space="preserve">565.</note>
            BI fertur, corpora non elaſtica poſt ictum quieſcunt, & </s>
            <s xml:id="echoid-s6088" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0221-11" xlink:href="note-0221-11a" xml:space="preserve">TAB. XX.
                <lb/>
              fig. 1. 2.</note>
            mutationes in velocitatibus ſunt in versè ut maſſæ, </s>
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