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

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        <div xml:id="echoid-div454" type="section" level="1" n="151">
          <p>
            <s xml:id="echoid-s2919" xml:space="preserve">
              <pb o="70" file="0120" n="130" rhead="PHYSICES ELEMENTA"/>
            Quod etiam ſequenti Experimento confirmatur.</s>
            <s xml:id="echoid-s2920" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div458" type="section" level="1" n="152">
          <head xml:id="echoid-head218" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s2921" xml:space="preserve">Dentur duo globi æquales, aut inæquales, unus ex plum-
              <lb/>
              <note position="left" xlink:label="note-0120-01" xlink:href="note-0120-01a" xml:space="preserve">295.</note>
            bo, alter ex ebore; </s>
            <s xml:id="echoid-s2922" xml:space="preserve">filis ſuſpendantur, ut forment pendu-
              <lb/>
            la æqualia; </s>
            <s xml:id="echoid-s2923" xml:space="preserve">vibrationes æquales, atque exiguæ utcunque
              <lb/>
            inæquales, ſunt æquè diuturnæ.</s>
            <s xml:id="echoid-s2924" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2925" xml:space="preserve">Sæpe loco fili virga ferrea tenuis ſed rigida adhibetur, & </s>
            <s xml:id="echoid-s2926" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0120-02" xlink:href="note-0120-02a" xml:space="preserve">296.</note>
            aliquan-do etiam pondera duo aut plura ei annectuntur, & </s>
            <s xml:id="echoid-s2927" xml:space="preserve">
              <lb/>
            vocatur pendulum compoſitum; </s>
            <s xml:id="echoid-s2928" xml:space="preserve">in eo caſu regulæ memora-
              <lb/>
            tæ locum non habent; </s>
            <s xml:id="echoid-s2929" xml:space="preserve">ſed iſta pendula ad ſimplicia revocan-
              <lb/>
            tur, determinando in iis punctum, in quo ſi pondera forent
              <lb/>
            juncta, vibrationes eſſent æquè diuturnæ cum vibrationibus
              <lb/>
            penduli compoſiti, Hocce punctum vocatur centrum oſcil-
              <lb/>
            lationis. </s>
            <s xml:id="echoid-s2930" xml:space="preserve">In ſcholio 2°. </s>
            <s xml:id="echoid-s2931" xml:space="preserve">methodum hujus determinandi ex-
              <lb/>
            plicamus.</s>
            <s xml:id="echoid-s2932" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2933" xml:space="preserve">Corpus cujuſcunque figuræ poteſt ſuſpendi, & </s>
            <s xml:id="echoid-s2934" xml:space="preserve">circa pun-
              <lb/>
            ctum, aut potius axem, vibrari; </s>
            <s xml:id="echoid-s2935" xml:space="preserve">in eo etiam poteſt deter-
              <lb/>
            minari centrum oſcillationis.</s>
            <s xml:id="echoid-s2936" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2937" xml:space="preserve">Quando linea recta, qualis eſt filum ferreum, circa ex-
              <lb/>
              <note position="left" xlink:label="note-0120-03" xlink:href="note-0120-03a" xml:space="preserve">297.</note>
            tremitatum alteram vibratur, centrum oſcillationis diſtat a
              <lb/>
            puncto ſuſpenſionis duabus partibus tertiis longitudinis fili.
              <lb/>
            </s>
            <s xml:id="echoid-s2938" xml:space="preserve">ut in eodem ſcholio demonſtramus.</s>
            <s xml:id="echoid-s2939" xml:space="preserve"/>
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        </div>
        <div xml:id="echoid-div462" type="section" level="1" n="153">
          <head xml:id="echoid-head219" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s2940" xml:space="preserve">Lamina ferrea AB ita ſuſpenditur, ut circa extremita-
              <lb/>
              <note position="left" xlink:label="note-0120-04" xlink:href="note-0120-04a" xml:space="preserve">298.</note>
            tem A vibretur; </s>
            <s xml:id="echoid-s2941" xml:space="preserve">pendulum ſimplex CP, cujus longitudo eſt
              <lb/>
              <note position="left" xlink:label="note-0120-05" xlink:href="note-0120-05a" xml:space="preserve">TAB. VIII.
                <lb/>
              fig. 6.</note>
            duarum partium tertiarum AB, eodem tempore cum iſta
              <lb/>
            lamina dimittitur; </s>
            <s xml:id="echoid-s2942" xml:space="preserve">& </s>
            <s xml:id="echoid-s2943" xml:space="preserve">vibrationes penduli, & </s>
            <s xml:id="echoid-s2944" xml:space="preserve">laminæ, eo-
              <lb/>
            dem tempore peraguntur.</s>
            <s xml:id="echoid-s2945" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2946" xml:space="preserve">Vibrationes pendulorum, ut diximus, licet inæquales,
              <lb/>
            ſunt æquè diuturnæ , & </s>
            <s xml:id="echoid-s2947" xml:space="preserve">hæc pendulorum proprietas
              <note symbol="*" position="left" xlink:label="note-0120-06" xlink:href="note-0120-06a" xml:space="preserve">280</note>
            ximi uſus eſt in horologiis, quibus motus æquabilis, pen-
              <lb/>
            dulo adjuncto, communicatur.</s>
            <s xml:id="echoid-s2948" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2949" xml:space="preserve">Horologiis in diverſis locis tranſſatis vim gravitatis non
              <lb/>
              <note position="left" xlink:label="note-0120-07" xlink:href="note-0120-07a" xml:space="preserve">299.</note>
            ubique terrarum æqualem eſſe, enotuit ex eo, quod vibra-
              <lb/>
            tiones ejuſdem penduli, in diverſis regionibus, reſpectu
              <lb/>
            temporis, inæquales repertæ ſunt; </s>
            <s xml:id="echoid-s2950" xml:space="preserve">& </s>
            <s xml:id="echoid-s2951" xml:space="preserve">hæc gravitatis diver-
              <lb/>
            ſitas per pendula menſuratur.</s>
            <s xml:id="echoid-s2952" xml:space="preserve"/>
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