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

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        <div xml:id="echoid-div221" type="section" level="1" n="78">
          <p>
            <s xml:id="echoid-s1512" xml:space="preserve">
              <pb o="30" file="0064" n="66" rhead="PHYSICES ELEMENTA"/>
            In hoc caſu, ſi unumquodque pondus per ſuam diſtantiam
              <lb/>
            multiplicetur, producta erunt æqualia. </s>
            <s xml:id="echoid-s1513" xml:space="preserve">Confirmatur hoc
              <lb/>
            præcedenti experimento.</s>
            <s xml:id="echoid-s1514" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1515" xml:space="preserve">Hoc fundamento nititur Statera Romana, qua unico pon-
              <lb/>
              <note position="left" xlink:label="note-0064-01" xlink:href="note-0064-01a" xml:space="preserve">135.</note>
            dere omnia ponderantur.</s>
            <s xml:id="echoid-s1516" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div225" type="section" level="1" n="79">
          <head xml:id="echoid-head125" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s1517" xml:space="preserve">Statera Romana A B habet duo brachia admodum inæ-
              <lb/>
              <note position="left" xlink:label="note-0064-02" xlink:href="note-0064-02a" xml:space="preserve">136.</note>
            qualia; </s>
            <s xml:id="echoid-s1518" xml:space="preserve">in breviori lanx ſuſpenditur: </s>
            <s xml:id="echoid-s1519" xml:space="preserve">longiſſimum in partes æ-
              <lb/>
              <note position="left" xlink:label="note-0064-03" xlink:href="note-0064-03a" xml:space="preserve">TAB. VIII.
                <lb/>
              fig. 3.</note>
            quales dividitur, poſito diviſionum initio in centro motus;
              <lb/>
            </s>
            <s xml:id="echoid-s1520" xml:space="preserve">diviſiones majores numeris notantur, & </s>
            <s xml:id="echoid-s1521" xml:space="preserve">ſingula in octo mi-
              <lb/>
            nores iterum dividuntur. </s>
            <s xml:id="echoid-s1522" xml:space="preserve">Pondus tale ei applicatur, ut
              <lb/>
            in prima diviſione majori æquiponderet cum ſemiliberâ lan-
              <lb/>
            ci impoſitâ: </s>
            <s xml:id="echoid-s1523" xml:space="preserve">tum corpus ponderandum lanci imponitur, & </s>
            <s xml:id="echoid-s1524" xml:space="preserve">
              <lb/>
            pondus ſtatim memoratum per longitudinem brachii longi-
              <lb/>
            oris movetur, donec detur æquilibrium; </s>
            <s xml:id="echoid-s1525" xml:space="preserve">diviſiones majores
              <lb/>
            inter pondus & </s>
            <s xml:id="echoid-s1526" xml:space="preserve">centrum, ſemi librarum numerum denotant,
              <lb/>
            quas corpus ponderat; </s>
            <s xml:id="echoid-s1527" xml:space="preserve">ſubdiviſiones uncias indicant. </s>
            <s xml:id="echoid-s1528" xml:space="preserve">Mi-
              <lb/>
            nus etiam pondus quodcunque adhiberi poteſt quo minores
              <lb/>
            differentiæ inter corporum pondera determinari queunt.</s>
            <s xml:id="echoid-s1529" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1530" xml:space="preserve">Eodem etiam nititur fundamento bilanx fallax, cujus nem-
              <lb/>
              <note position="left" xlink:label="note-0064-04" xlink:href="note-0064-04a" xml:space="preserve">137.</note>
            pe brachia ſunt inæqualia.</s>
            <s xml:id="echoid-s1531" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div228" type="section" level="1" n="80">
          <head xml:id="echoid-head126" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s1532" xml:space="preserve">Libræ ſæpius memoratæ duæ lances, ponderis inæqua-
              <lb/>
              <note position="left" xlink:label="note-0064-05" xlink:href="note-0064-05a" xml:space="preserve">138.</note>
            lis, ut detur æquilibrium, applicantur ab una parte cente-
              <lb/>
              <note position="left" xlink:label="note-0064-06" xlink:href="note-0064-06a" xml:space="preserve">TAB IV.
                <lb/>
              fig. 1.</note>
            fimæad alteram nonageſimæ quintæ diviſioni. </s>
            <s xml:id="echoid-s1533" xml:space="preserve">Si tunc duo
              <lb/>
            pondera dentur quæcumque, quæ ſint inter ſe ut 19 ad
              <lb/>
            20, & </s>
            <s xml:id="echoid-s1534" xml:space="preserve">illud primæ lanci, hoc vero ſecundæ, imponatur æ-
              <lb/>
            quiponderabunt.</s>
            <s xml:id="echoid-s1535" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1536" xml:space="preserve">Plurima pondera ad varias diſtantias ab una parte, cum
              <lb/>
              <note position="left" xlink:label="note-0064-07" xlink:href="note-0064-07a" xml:space="preserve">139.</note>
            unico pondere ad aliam partem, poſſunt æquiponderare. </s>
            <s xml:id="echoid-s1537" xml:space="preserve">Re-
              <lb/>
            quiritur, ut productum hujus ponderis, per ſuam diſtantiam
              <lb/>
            a centro, æquale ſit ſummæ productorum omnium aliorum
              <lb/>
            ponderum, ſingulatim unumquodque per ſuam diſtantiam a
              <lb/>
            centro multiplicatorum.</s>
            <s xml:id="echoid-s1538" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div231" type="section" level="1" n="81">
          <head xml:id="echoid-head127" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          5.</head>
          <note position="left" xml:space="preserve">140.</note>
          <p>
            <s xml:id="echoid-s1539" xml:space="preserve">Ad unam partem pondus duarum unciarum 20 diviſioni,
              <lb/>
              <note position="left" xlink:label="note-0064-09" xlink:href="note-0064-09a" xml:space="preserve">TAB. III.
                <lb/>
              fig. 5.</note>
            </s>
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