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

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            hujus capitis primi cavitates, & </s>
            <s xml:id="echoid-s4873" xml:space="preserve">in ſecundis partium elaſti-
              <lb/>
            carum introceſſiones fuere æquales, ubi corpora cecidere
              <lb/>
            ab altitudinibus quæ erant inversè ut maſſæ.</s>
            <s xml:id="echoid-s4874" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4875" xml:space="preserve">Vires vero ipſas eſſe in hac ratione inverſa maſſarum ſi
              <lb/>
              <note position="left" xlink:label="note-0182-01" xlink:href="note-0182-01a" xml:space="preserve">472.</note>
            velocitates fuerint reciprocè ut maſſæ, facile etiam liquet.</s>
            <s xml:id="echoid-s4876" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4877" xml:space="preserve">Sint maſſa corporis cujuſcunque M & </s>
            <s xml:id="echoid-s4878" xml:space="preserve">velocitas V;
              <lb/>
            </s>
            <s xml:id="echoid-s4879" xml:space="preserve">alterius corporis maſſa m & </s>
            <s xml:id="echoid-s4880" xml:space="preserve">hujus velocitas v: </s>
            <s xml:id="echoid-s4881" xml:space="preserve">& </s>
            <s xml:id="echoid-s4882" xml:space="preserve">po-
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            namus m, M:</s>
            <s xml:id="echoid-s4883" xml:space="preserve">: V, v, id eſt M x V = m x v; </s>
            <s xml:id="echoid-s4884" xml:space="preserve">hinc deduci-
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            mus, V, v:</s>
            <s xml:id="echoid-s4885" xml:space="preserve">: M x V
              <emph style="super">q</emph>
            , m x v
              <emph style="super">q</emph>
            , multiplicando V & </s>
            <s xml:id="echoid-s4886" xml:space="preserve">v per
              <lb/>
            æquales quantitates: </s>
            <s xml:id="echoid-s4887" xml:space="preserve">Sed M x V
              <emph style="super">q</emph>
            , m x v
              <emph style="super">q</emph>
            ſunt ut vires ;</s>
            <s xml:id="echoid-s4888" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0182-02" xlink:href="note-0182-02a" xml:space="preserve">470.</note>
            quæ ergo ſunt ut velocitates, id eſt inversè ut maſſæ.</s>
            <s xml:id="echoid-s4889" xml:space="preserve"/>
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        <div xml:id="echoid-div715" type="section" level="1" n="192">
          <head xml:id="echoid-head274" xml:space="preserve">CAPUT XXIII.</head>
          <head xml:id="echoid-head275" xml:space="preserve">De Colliſione corporum.</head>
          <head xml:id="echoid-head276" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          I.</head>
          <p style="it">
            <s xml:id="echoid-s4890" xml:space="preserve">CEleritas qua duo corpora, ad ſe mutuo accedunt, aut
              <lb/>
              <note position="left" xlink:label="note-0182-03" xlink:href="note-0182-03a" xml:space="preserve">473.</note>
            ſeparantur, vocatur celeritas reſpectiva.</s>
            <s xml:id="echoid-s4891" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s4892" xml:space="preserve">Quando corpora ambo ad eandem partem tendunt, ad ſe
              <lb/>
              <note position="left" xlink:label="note-0182-04" xlink:href="note-0182-04a" xml:space="preserve">474.</note>
            invicem accedunt, aut ſeparantur, velocitate, quæ æqualis eſt
              <lb/>
            diſſerentiæ velocitatum abſolutarum. </s>
            <s xml:id="echoid-s4893" xml:space="preserve">Velocitas autem re-
              <lb/>
              <note position="left" xlink:label="note-0182-05" xlink:href="note-0182-05a" xml:space="preserve">475.</note>
            ſpectiva eſt ſumma velocitatum abſolutarum, ſi motuum di-
              <lb/>
            rectiones ſint contrariæ.</s>
            <s xml:id="echoid-s4894" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div718" type="section" level="1" n="193">
          <head xml:id="echoid-head277" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          2.</head>
          <p style="it">
            <s xml:id="echoid-s4895" xml:space="preserve">Impactio duorum corporum dicitur directa, ſi directio
              <lb/>
              <note position="left" xlink:label="note-0182-06" xlink:href="note-0182-06a" xml:space="preserve">476.</note>
            motus, aut motuum, quando ambo moventur, tranſeat per
              <lb/>
            ſingulorum gravitatis centra; </s>
            <s xml:id="echoid-s4896" xml:space="preserve">ſibæc eadem linea, quœ per
              <lb/>
            ambo centra gravitatis tranſit, ſecet partes ſuperficierum quæ
              <lb/>
            in ſe mutuo incurrunt; </s>
            <s xml:id="echoid-s4897" xml:space="preserve">tandem ſi bæ ſuperficies quæ in ſemu-
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            tuo incurrunt ad lineam, quæ per centra gravitatis tranſit,
              <lb/>
            ſint perpendiculares.</s>
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          </p>
        </div>
        <div xml:id="echoid-div720" type="section" level="1" n="194">
          <head xml:id="echoid-head278" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          3.</head>
          <p style="it">
            <s xml:id="echoid-s4899" xml:space="preserve">In omni alio caſu ictus dicitur obliquus.</s>
            <s xml:id="echoid-s4900" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">477.</note>
          <p>
            <s xml:id="echoid-s4901" xml:space="preserve">Quando corpus motum in aliud incurrit, in hoc agit, a-
              <lb/>
              <note position="left" xlink:label="note-0182-08" xlink:href="note-0182-08a" xml:space="preserve">478.</note>
            ctioque rationem ſequitur reſiſtentiæ quam patitur ; </s>
            <s xml:id="echoid-s4902" xml:space="preserve">&</s>
            <s xml:id="echoid-s4903" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0182-09" xlink:href="note-0182-09a" xml:space="preserve">458.</note>
            quantum agit tantum ex vi inſitâ amittit.</s>
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