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

Table of Notes

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          <p>
            <s xml:id="echoid-s2785" xml:space="preserve">
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            ſtrationem caput ſequens adeant; </s>
            <s xml:id="echoid-s2786" xml:space="preserve">ipſam in machina obſerva-
              <lb/>
            re proprietatem in hoc loco ſufficit.</s>
            <s xml:id="echoid-s2787" xml:space="preserve"/>
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        </div>
        <div xml:id="echoid-div439" type="section" level="1" n="148">
          <head xml:id="echoid-head212" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s2788" xml:space="preserve">Conſtitutâ machinâ, ut dictum, firmentur obices, appli-
              <lb/>
              <note position="left" xlink:label="note-0116-01" xlink:href="note-0116-01a" xml:space="preserve">277.</note>
            cato uno diviſioni quartæ ab F, altero diviſioni ſextæ. </s>
            <s xml:id="echoid-s2789" xml:space="preserve">Si
              <lb/>
            nunc globi dimittantur eodem momento ab altitudinibus,
              <lb/>
            quæ ſunt, ut quatuor ad novem, dimiſſo nempe globo illo a mi-
              <lb/>
            nori altitudine qui datur in canali, in quo obex minus ab F
              <lb/>
            diſtat, eodem etiam momento quàm exactiſſime ad obices
              <lb/>
            pervenient.</s>
            <s xml:id="echoid-s2790" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2791" xml:space="preserve">Globi hi eodem momento in F dantur, æqualibus ergo
              <lb/>
            temporibus percurrunt lineas, quæ ſunt ut quatuor ad ſex,
              <lb/>
            id eſt, ut duo ad tria, in qua ratione ſunt horum globorum
              <lb/>
            velocitates ; </s>
            <s xml:id="echoid-s2792" xml:space="preserve">horum numerorum quadrata ſunt quatuor &</s>
            <s xml:id="echoid-s2793" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0116-02" xlink:href="note-0116-02a" xml:space="preserve">94.</note>
            novem, id eſt in ratione altitudinum a quibus cadendocor-
              <lb/>
            pora acquiſivere velocitates ſuas; </s>
            <s xml:id="echoid-s2794" xml:space="preserve">quod Experimento confir-
              <lb/>
            mandum erat.</s>
            <s xml:id="echoid-s2795" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2796" xml:space="preserve">In conſtituendis obicibus ad globorum magnitudinem at-
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            tendendum.</s>
            <s xml:id="echoid-s2797" xml:space="preserve"/>
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        <div xml:id="echoid-div442" type="section" level="1" n="149">
          <head xml:id="echoid-head213" xml:space="preserve">CAPUT XIX.</head>
          <head xml:id="echoid-head214" style="it" xml:space="preserve">De Oſcillatione pendulorum.</head>
          <head xml:id="echoid-head215" xml:space="preserve">
            <emph style="sc">Definitio.</emph>
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          <p>
            <s xml:id="echoid-s2798" xml:space="preserve">G Rave, filo tenuiſſimo ſuſpenſium, & </s>
            <s xml:id="echoid-s2799" xml:space="preserve">cum filo, circa fili
              <lb/>
              <note position="left" xlink:label="note-0116-03" xlink:href="note-0116-03a" xml:space="preserve">278.</note>
            punctum fixum, mobile, vocatur Pendulum.</s>
            <s xml:id="echoid-s2800" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2801" xml:space="preserve">Motus penduli eſt vibratorius, ſeu oſcillatorius.</s>
            <s xml:id="echoid-s2802" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2803" xml:space="preserve">Quando pondus, filo extenſo, ab una parte elevatur,
              <lb/>
            gravitate deſcendit, & </s>
            <s xml:id="echoid-s2804" xml:space="preserve">celeritate acquiſita ad eandem alti-
              <lb/>
            tudinem aliam partem verſus adſcendit ; </s>
            <s xml:id="echoid-s2805" xml:space="preserve">gravitate deinde
              <note symbol="*" position="left" xlink:label="note-0116-04" xlink:href="note-0116-04a" xml:space="preserve">273.</note>
            rum redit; </s>
            <s xml:id="echoid-s2806" xml:space="preserve">& </s>
            <s xml:id="echoid-s2807" xml:space="preserve">vibrationes continuat.</s>
            <s xml:id="echoid-s2808" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2809" xml:space="preserve">Rationem circa punctum ſuſpenſionis liberrimam hìc po-
              <lb/>
            nimus, & </s>
            <s xml:id="echoid-s2810" xml:space="preserve">nullam dari aëris reſiſtentiam; </s>
            <s xml:id="echoid-s2811" xml:space="preserve">quæ in majoribus
              <lb/>
            pendulis admodum eſt exigua.</s>
            <s xml:id="echoid-s2812" xml:space="preserve"/>
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          <note position="left" xml:space="preserve">TAB. XI.
            <lb/>
          fig. 2.</note>
          <p>
            <s xml:id="echoid-s2813" xml:space="preserve">In motu ſuo corpus P deſcribit portionem circuli PBF;
              <lb/>
            </s>
            <s xml:id="echoid-s2814" xml:space="preserve">ſi loco hujus motus corpus deſcendat per chordam PB; </s>
            <s xml:id="echoid-s2815" xml:space="preserve">& </s>
            <s xml:id="echoid-s2816" xml:space="preserve">i-
              <lb/>
              <note position="left" xlink:label="note-0116-06" xlink:href="note-0116-06a" xml:space="preserve">279.</note>
            terum adſcendat per chordam BF; </s>
            <s xml:id="echoid-s2817" xml:space="preserve">& </s>
            <s xml:id="echoid-s2818" xml:space="preserve">vibrationes ſuas per
              <lb/>
            chordas peragat; </s>
            <s xml:id="echoid-s2819" xml:space="preserve">deſcenſus fiet in tempore, in quo corpus </s>
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