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

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        <div xml:id="echoid-div212" type="section" level="1" n="75">
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            <s xml:id="echoid-s1480" xml:space="preserve">
              <pb o="29" file="0063" n="65" rhead="MATHEMATICA. LIB. I. CAP. IX."/>
            gis punctum a pondere gravatum a centro libræ diſtat; </s>
            <s xml:id="echoid-s1481" xml:space="preserve">& </s>
            <s xml:id="echoid-s1482" xml:space="preserve">
              <lb/>
            actio illa ſequitur proportionem diſtantiæ prædicti punctiab
              <lb/>
            illo centro.</s>
            <s xml:id="echoid-s1483" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1484" xml:space="preserve">Quando libra rotatur, in eodem libræ motu, punctum
              <lb/>
              <note position="right" xlink:label="note-0063-01" xlink:href="note-0063-01a" xml:space="preserve">TAB. III.
                <lb/>
              fig. 3.</note>
            B percurrit arcum B b, & </s>
            <s xml:id="echoid-s1485" xml:space="preserve">punctum A arcum A a, quo-
              <lb/>
            rum ultimus maximus eſt; </s>
            <s xml:id="echoid-s1486" xml:space="preserve">in illo ergo libræ motu actio e-
              <lb/>
            juſdem ponderis varia eft, pro puncto cui applicatur, & </s>
            <s xml:id="echoid-s1487" xml:space="preserve">
              <lb/>
            ſequitur proportionem ſpatii ab hoc puncto percurſi ; </s>
            <s xml:id="echoid-s1488" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0063-02" xlink:href="note-0063-02a" xml:space="preserve">107. 117.</note>
            ergo in A, ut Aa, in B, ut Bb; </s>
            <s xml:id="echoid-s1489" xml:space="preserve">arcus verò hi ſuntinter
              <lb/>
            ſe ut CA, CB.</s>
            <s xml:id="echoid-s1490" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div216" type="section" level="1" n="76">
          <head xml:id="echoid-head122" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s1491" xml:space="preserve">Libræ AB, cujus jugi longitudo eſt duorum pedum, bra-
              <lb/>
              <note position="right" xlink:label="note-0063-03" xlink:href="note-0063-03a" xml:space="preserve">130.</note>
            chia ſingula in partes centum æquales dividuntur, poſito
              <lb/>
              <note position="right" xlink:label="note-0063-04" xlink:href="note-0063-04a" xml:space="preserve">TAB. III.
                <lb/>
              fig. 4.</note>
            diviſionum initio in ipſo centro libræ.</s>
            <s xml:id="echoid-s1492" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1493" xml:space="preserve">Actio unciæ unius, applicatæ 60 diviſioni, æqualis eſt
              <lb/>
            actioni trium unciarum, 20 diviſioni ſuſpenſarum.</s>
            <s xml:id="echoid-s1494" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1495" xml:space="preserve">Ut hoc Experimentum cum quibusdam ſequentibus com-
              <lb/>
            mode inſtituatur, varia dantur pondera ænea unius unciæ,
              <lb/>
            ut P, quæ diviſionibus jugi applicari poſſunt, & </s>
            <s xml:id="echoid-s1496" xml:space="preserve">in inferiori
              <lb/>
            parte uncum habent. </s>
            <s xml:id="echoid-s1497" xml:space="preserve">Dantur etiam lances variæ, ut L, quæ
              <lb/>
            ſingulæ cum filis, & </s>
            <s xml:id="echoid-s1498" xml:space="preserve">unco, cui ſuspenduntur exactiſſime et-
              <lb/>
            iam ponderant unciam unam.</s>
            <s xml:id="echoid-s1499" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1500" xml:space="preserve">Ex hiſce ſequitur, actionem ponderis ad movendum li-
              <lb/>
              <note position="right" xlink:label="note-0063-05" xlink:href="note-0063-05a" xml:space="preserve">131.</note>
            bram eſſe in ratione compoſita ip ſius ponderis & </s>
            <s xml:id="echoid-s1501" xml:space="preserve">diſtantiæ a
              <lb/>
            centro : </s>
            <s xml:id="echoid-s1502" xml:space="preserve">nam hæc diſtantia eſt ut ſpatium percurſum in
              <note symbol="*" position="right" xlink:label="note-0063-06" xlink:href="note-0063-06a" xml:space="preserve">10@.</note>
            tu libræ. </s>
            <s xml:id="echoid-s1503" xml:space="preserve">Multiplicando ſingula pondera per ſuas diſtantias
              <lb/>
            a centro producta ſunt ut actiones in libram.</s>
            <s xml:id="echoid-s1504" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div219" type="section" level="1" n="77">
          <head xml:id="echoid-head123" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          5.</head>
          <p>
            <s xml:id="echoid-s1505" xml:space="preserve">Libra in æquilibrio dicitur, quando actiones ponderum in
              <lb/>
              <note position="right" xlink:label="note-0063-07" xlink:href="note-0063-07a" xml:space="preserve">132.</note>
            utrumque brachium ad movendam libram, ſunt æquales; </s>
            <s xml:id="echoid-s1506" xml:space="preserve">i-
              <lb/>
            ta ut ſeſe mutuo deſtruant, ut in præcedenti Experimento.</s>
            <s xml:id="echoid-s1507" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div221" type="section" level="1" n="78">
          <head xml:id="echoid-head124" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          6.</head>
          <p>
            <s xml:id="echoid-s1508" xml:space="preserve">Quando libra eſt in æquilibrio, pondera ab utraque par-
              <lb/>
              <note position="right" xlink:label="note-0063-08" xlink:href="note-0063-08a" xml:space="preserve">133.</note>
            te dicuntur æquiponderare.</s>
            <s xml:id="echoid-s1509" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1510" xml:space="preserve">Pondera inæqualia poſſunt æquiponderare; </s>
            <s xml:id="echoid-s1511" xml:space="preserve">quando
              <lb/>
              <note position="right" xlink:label="note-0063-09" xlink:href="note-0063-09a" xml:space="preserve">134.</note>
            diſtantiæ a centro ſunt reciprocè ut pondera .</s>
            <s xml:id="echoid-s1512" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0063-10" xlink:href="note-0063-10a" xml:space="preserve">132.
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              </note>
            </s>
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