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

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        <div xml:id="echoid-div285" type="section" level="1" n="94">
          <p>
            <s xml:id="echoid-s1783" xml:space="preserve">
              <pb o="37" file="0075" n="79" rhead="MATHEMATICA. LIB. I. CAP. X."/>
            habent, quæ datur inter numeros in figuris. </s>
            <s xml:id="echoid-s1784" xml:space="preserve">Conſtructio ma-
              <lb/>
            chinarum, quibus hæc experimenta inſtituuntur, ex ſola
              <lb/>
            inſpectione Tabulæ ſatis patet, & </s>
            <s xml:id="echoid-s1785" xml:space="preserve">nulla ulteriori explicatio-
              <lb/>
            ne indiget.</s>
            <s xml:id="echoid-s1786" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1787" xml:space="preserve">Vectis formatur compoſitus ex variis vectibus junctis. </s>
            <s xml:id="echoid-s1788" xml:space="preserve">In
              <lb/>
              <note position="right" xlink:label="note-0075-01" xlink:href="note-0075-01a" xml:space="preserve">177.</note>
            hoc caſu adhibito ſecundo vecte movetur primus; </s>
            <s xml:id="echoid-s1789" xml:space="preserve">ſecundus
              <lb/>
            tertio poteſt agitari; </s>
            <s xml:id="echoid-s1790" xml:space="preserve">& </s>
            <s xml:id="echoid-s1791" xml:space="preserve">ſic ulterius ſi libuerit, ultimo tandem
              <lb/>
            applicatur potentia, cujus ratso ad pondus, quando cum pondere
              <lb/>
            æquè pollet, componitur ex rationibus potentiarum ad ponde-
              <lb/>
            ra in ſingulis vectibus, quando ſeparatim adbibentur.</s>
            <s xml:id="echoid-s1792" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div288" type="section" level="1" n="95">
          <head xml:id="echoid-head145" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s1793" xml:space="preserve">Tres vectes A, B, D, ita diſponuntur, ut potentiâ Mpon-
              <lb/>
              <note position="right" xlink:label="note-0075-02" xlink:href="note-0075-02a" xml:space="preserve">178.</note>
            dus P ſuſtineatur. </s>
            <s xml:id="echoid-s1794" xml:space="preserve">In vecte A, ſi ſolus adhiberetur, po-
              <lb/>
              <note position="right" xlink:label="note-0075-03" xlink:href="note-0075-03a" xml:space="preserve">TAB. V.
                <lb/>
              fig. 5.</note>
            tentia eſſet ad pondus, ut 1. </s>
            <s xml:id="echoid-s1795" xml:space="preserve">ad 5.</s>
            <s xml:id="echoid-s1796" xml:space="preserve">; in vecte B, ut 1. </s>
            <s xml:id="echoid-s1797" xml:space="preserve">ad 4.</s>
            <s xml:id="echoid-s1798" xml:space="preserve">;
              <lb/>
            & </s>
            <s xml:id="echoid-s1799" xml:space="preserve">in vecte D, ut 1. </s>
            <s xml:id="echoid-s1800" xml:space="preserve">ad 6. </s>
            <s xml:id="echoid-s1801" xml:space="preserve">Ratio, ex his tribus compoſita,
              <lb/>
            eſt 1. </s>
            <s xml:id="echoid-s1802" xml:space="preserve">ad 120; </s>
            <s xml:id="echoid-s1803" xml:space="preserve">unica etiam uncia M ſuſtinet pondus P cen-
              <lb/>
            tum & </s>
            <s xml:id="echoid-s1804" xml:space="preserve">viginti unciarum. </s>
            <s xml:id="echoid-s1805" xml:space="preserve">Notandum, in motu hujus machi-
              <lb/>
            næ ſpatia à potentia & </s>
            <s xml:id="echoid-s1806" xml:space="preserve">pondere eodem tempore percurſa eſ-
              <lb/>
            ſe ut 120. </s>
            <s xml:id="echoid-s1807" xml:space="preserve">ad 1.</s>
            <s xml:id="echoid-s1808" xml:space="preserve">, id eſt, in ratione prædictainverſa, quod
              <lb/>
            requiritur ut detur æquilibrium .</s>
            <s xml:id="echoid-s1809" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0075-04" xlink:href="note-0075-04a" xml:space="preserve">212.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s1810" xml:space="preserve">Vecte etiam ſæpe utuntur artifices ad pondera vehenda;
              <lb/>
            </s>
            <s xml:id="echoid-s1811" xml:space="preserve">& </s>
            <s xml:id="echoid-s1812" xml:space="preserve">hujus uſus vectis varii dantur caſus, digni quinotentur, & </s>
            <s xml:id="echoid-s1813" xml:space="preserve">
              <lb/>
            quorum demonſtratio ex dictis facile deducitur.</s>
            <s xml:id="echoid-s1814" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1815" xml:space="preserve">Circa omnes caſus generaliter obſervandum, intenſitatem
              <lb/>
              <note position="right" xlink:label="note-0075-05" xlink:href="note-0075-05a" xml:space="preserve">179.</note>
            potentiæ, aut intenſitates potentiarum junctas, quando plu-
              <lb/>
            rimæ dantur, æquè pollere debere cumgravitate ponderum ve-
              <lb/>
            dorum, aut ſuſtinendorum: </s>
            <s xml:id="echoid-s1816" xml:space="preserve">in omnibus enim caſibus potentiæ
              <lb/>
            & </s>
            <s xml:id="echoid-s1817" xml:space="preserve">obſtacula æquales vias percurrunt.</s>
            <s xml:id="echoid-s1818" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1819" xml:space="preserve">Si duabus potentiis ſuſtineri aut vehi debeat pondus, in-
              <lb/>
              <note position="right" xlink:label="note-0075-06" xlink:href="note-0075-06a" xml:space="preserve">180.</note>
            ter potentias collocandum erit, & </s>
            <s xml:id="echoid-s1820" xml:space="preserve">diſtantiæ potentiarum ab
              <lb/>
            utraque parte à pondere debent eſſe in ratione inverſa po-
              <lb/>
            téntiarum intenſitatum.</s>
            <s xml:id="echoid-s1821" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1822" xml:space="preserve">Potentiarum enim actiones ſeſe mutuo turbabunt, niſi in-
              <lb/>
            ter has æquilibrium detur circa punctum ſuſpenſionis pon-
              <lb/>
            deris; </s>
            <s xml:id="echoid-s1823" xml:space="preserve">quo æquilibrio poſito, in puncto hoc potentiarum
              <lb/>
            actiones ſunt coactæ, & </s>
            <s xml:id="echoid-s1824" xml:space="preserve">cum pondere contrarie agunt; </s>
            <s xml:id="echoid-s1825" xml:space="preserve"/>
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