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

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        <div xml:id="echoid-div172" type="section" level="1" n="62">
          <p>
            <s xml:id="echoid-s1321" xml:space="preserve">
              <pb o="24" file="0056" n="57" rhead="PHYSICES ELEMENTA"/>
            tur, actio erit bis dupla, aut ter tripla, id eſt, ſextupla. </s>
            <s xml:id="echoid-s1322" xml:space="preserve">Si,
              <lb/>
            datis numeris in ratione intenſitatum, & </s>
            <s xml:id="echoid-s1323" xml:space="preserve">aliis in ratione ſpa-
              <lb/>
            tiorum percurſorum, pro ſingulis potentiis intenſitas per ſpa-
              <lb/>
            tium ab obſtaculo percurſum multiplicetur, producta ha-
              <lb/>
            bebunt quæſitam compoſitam rationem.</s>
            <s xml:id="echoid-s1324" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1325" xml:space="preserve">Si numeri dentur, qui actiones potentiarum variarum de-
              <lb/>
              <note position="left" xlink:label="note-0056-01" xlink:href="note-0056-01a" xml:space="preserve">109.</note>
            ſignant, erunt hi ut producta obſtaculorum per ſpatia, ergo
              <lb/>
            ſi ſinguli ex datis numeris per ſpatium ab obſtaculo ſuo per-
              <lb/>
            curſum dividantur, quotientes erunt ut ipſa obſtacula.</s>
            <s xml:id="echoid-s1326" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1327" xml:space="preserve">Ideo eo majora ſunt obſtacula, quo actiones ſunt majo-
              <lb/>
            res, & </s>
            <s xml:id="echoid-s1328" xml:space="preserve">ſpatia percurſa minora; </s>
            <s xml:id="echoid-s1329" xml:space="preserve">ideſt, obſtacula ſunt in ratio-
              <lb/>
              <note position="left" xlink:label="note-0056-02" xlink:href="note-0056-02a" xml:space="preserve">110.</note>
            ne compoſita directæ actionum, & </s>
            <s xml:id="echoid-s1330" xml:space="preserve">inverſæ ſpatiorum percur-
              <lb/>
            ſorum.</s>
            <s xml:id="echoid-s1331" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1332" xml:space="preserve">Si numeri qui exprimunt producta obſtaculorum per
              <lb/>
            ſpatia, id eſt, qui potentiarum actiones exprimunt, ſinguli
              <lb/>
            dividantur per numeros, qui obſtacula deſignant, quotientes
              <lb/>
            erunt ut ſpatia, quæ ergo ſunt directe ut actiones, & </s>
            <s xml:id="echoid-s1333" xml:space="preserve">inver-
              <lb/>
              <note position="left" xlink:label="note-0056-03" xlink:href="note-0056-03a" xml:space="preserve">111.</note>
            ſe ut obſtacula.</s>
            <s xml:id="echoid-s1334" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1335" xml:space="preserve">Potentiarum actiones ſunt æquales, ſi ſpatia percurſa fue-
              <lb/>
              <note position="left" xlink:label="note-0056-04" xlink:href="note-0056-04a" xml:space="preserve">112.</note>
            rint in ratione inverſa obſtaculorum aut intenſit atum poten-
              <lb/>
            tiarum . </s>
            <s xml:id="echoid-s1336" xml:space="preserve">Quantum enim potentia intenſitate alteram
              <note symbol="*" position="left" xlink:label="note-0056-05" xlink:href="note-0056-05a" xml:space="preserve">100.</note>
            rat, in tantum reſpectu ſpatii percurſi ſuperatur. </s>
            <s xml:id="echoid-s1337" xml:space="preserve">Ex. </s>
            <s xml:id="echoid-s1338" xml:space="preserve">Gr. </s>
            <s xml:id="echoid-s1339" xml:space="preserve">ſi obſta-
              <lb/>
            cula fuerint ut octo & </s>
            <s xml:id="echoid-s1340" xml:space="preserve">ſex, viæ percurſæ ut tria ad quatuor, u-
              <lb/>
            traque actio exprimetur per numerum viginti quatuor .</s>
            <s xml:id="echoid-s1341" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0056-06" xlink:href="note-0056-06a" xml:space="preserve">108.</note>
            </s>
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        <div xml:id="echoid-div182" type="section" level="1" n="63">
          <head xml:id="echoid-head107" xml:space="preserve">CAPUT VIII.</head>
          <head xml:id="echoid-head108" style="it" xml:space="preserve">Generalia circa Gravitatem.</head>
          <head xml:id="echoid-head109" xml:space="preserve">
            <emph style="sc">Phænomenon i</emph>
          .</head>
          <p style="it">
            <s xml:id="echoid-s1342" xml:space="preserve">Omnia Corpora in Terræ viciniis, ſi nullo obſtaculo co-
              <lb/>
              <note position="left" xlink:label="note-0056-07" xlink:href="note-0056-07a" xml:space="preserve">113.</note>
            hibeantur, Terram verſum feruntur.</s>
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          </p>
        </div>
        <div xml:id="echoid-div184" type="section" level="1" n="64">
          <head xml:id="echoid-head110" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          . 1.</head>
          <p style="it">
            <s xml:id="echoid-s1344" xml:space="preserve">Vis qua corpora Tellurem verſus pelluntur, vocatur gravitas.
              <lb/>
            </s>
            <s xml:id="echoid-s1345" xml:space="preserve">
              <note position="left" xlink:label="note-0056-08" xlink:href="note-0056-08a" xml:space="preserve">114.</note>
            </s>
          </p>
        </div>
        <div xml:id="echoid-div186" type="section" level="1" n="65">
          <head xml:id="echoid-head111" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          2.</head>
          <p style="it">
            <s xml:id="echoid-s1346" xml:space="preserve">Vis illa cum relatione ad corpus, quod vi illa propellitur,
              <lb/>
              <note position="left" xlink:label="note-0056-09" xlink:href="note-0056-09a" xml:space="preserve">115.</note>
            vocatur corporis pondus.</s>
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