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

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              <pb o="195" file="0275" n="300" rhead="MATHEMATICA. LIB. I. CAP. XXIX."/>
            ſionum laminæ ed. </s>
            <s xml:id="echoid-s7637" xml:space="preserve">Mutentur Priſmata & </s>
            <s xml:id="echoid-s7638" xml:space="preserve">ad quartam ta-
              <lb/>
            bulæ diviſionem ab utraque parte ponantur, ſagitta erit qua-
              <lb/>
            tuor diviſionum laminæ, & </s>
            <s xml:id="echoid-s7639" xml:space="preserve">ſic pro quocunque ſitu Priſma-
              <lb/>
            tum.</s>
            <s xml:id="echoid-s7640" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7641" xml:space="preserve">Fibræ ejuſdem generis, ſed diverſæ craſſitiei, ſi inter ſe
              <lb/>
            comparantur, poſſunt conſiderari quaſi formatæ ex multis
              <lb/>
            fibris tenuiſſimis ejuſdem craſſitiei, quarum numerus in fi-
              <lb/>
            bris memoratis erit in ratione ſoliditatis harum fibrarum,
              <lb/>
            id eſt, ut quadrata diametrorum, aut ut pondera quando
              <lb/>
              <note position="right" xlink:label="note-0275-01" xlink:href="note-0275-01a" xml:space="preserve">684.</note>
            fibræ ſunt æquales. </s>
            <s xml:id="echoid-s7642" xml:space="preserve">Viribus ergo in eadem ratione quadra-
              <lb/>
            torum diametrorum, hæ fibræ æqualiter tenduntur; </s>
            <s xml:id="echoid-s7643" xml:space="preserve">quæ
              <lb/>
            etiam ratio inter vires, quibus chordæ inflectuntur, requi-
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            ritur, ut ſagittæ datis fibris æqualibus ſint æquales. </s>
            <s xml:id="echoid-s7644" xml:space="preserve">Sed
              <lb/>
            minuendo in eadem ratione vim, qua fibra tenditur, cum
              <lb/>
            vi, qua inflectitur, ſagitta non mutatur ; </s>
            <s xml:id="echoid-s7645" xml:space="preserve">poſitis igitur
              <note symbol="*" position="right" xlink:label="note-0275-02" xlink:href="note-0275-02a" xml:space="preserve">673.</note>
            ribus, quibus fibræ tenduntur, æqualibus, ſi æqualibus vi-
              <lb/>
            ribus inflectantur, etiam in eo caſu ſagittæ erunt æquales,
              <lb/>
            quæcunque fuerit craſſitiei diverſitas.</s>
            <s xml:id="echoid-s7646" xml:space="preserve"/>
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        <div xml:id="echoid-div1058" type="section" level="1" n="258">
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            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s7647" xml:space="preserve">Dentur chordæ quæcunque ejuſdem generis, & </s>
            <s xml:id="echoid-s7648" xml:space="preserve">inæqua-
              <lb/>
              <note position="right" xlink:label="note-0275-03" xlink:href="note-0275-03a" xml:space="preserve">685.</note>
            lis craſſitiei; </s>
            <s xml:id="echoid-s7649" xml:space="preserve">ſeparatim applicentur Machinæ, relictis Priſma-
              <lb/>
              <note position="right" xlink:label="note-0275-04" xlink:href="note-0275-04a" xml:space="preserve">
                <emph style="sc">TA. XXVI.</emph>
                <lb/>
              fig. 2.</note>
            tìbus H, H, ſi eodem pondere Ptendantur, & </s>
            <s xml:id="echoid-s7650" xml:space="preserve">etiam eodem
              <lb/>
            pondere Linflectantur, ſagittæ erunt æquales.</s>
            <s xml:id="echoid-s7651" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7652" xml:space="preserve">Sichordautcunque tenſa AB inflectatur, ut figuram ACB
              <lb/>
              <note position="right" xlink:label="note-0275-05" xlink:href="note-0275-05a" xml:space="preserve">686.</note>
            acquirat, & </s>
            <s xml:id="echoid-s7653" xml:space="preserve">ſibirelinquatur, ex elaſticitate ad primam figuram
              <lb/>
              <note position="right" xlink:label="note-0275-06" xlink:href="note-0275-06a" xml:space="preserve">
                <emph style="sc">TA. XXVI.</emph>
                <lb/>
              fig. 1.</note>
            redit, & </s>
            <s xml:id="echoid-s7654" xml:space="preserve">in eo caſu motus puncti C eſt acceleratus; </s>
            <s xml:id="echoid-s7655" xml:space="preserve">nam in ſitu
              <lb/>
            ACB chordæ, punctum Cmovetur, nam trahitur vi qua in illo
              <lb/>
            ſitu retineri poteſt; </s>
            <s xml:id="echoid-s7656" xml:space="preserve">motus hicce non deſtruitur, & </s>
            <s xml:id="echoid-s7657" xml:space="preserve">ei ſuperad-
              <lb/>
            ditur, in ſingulis punctis ſagittæ, motus oriundus ex vi qua pun-
              <lb/>
            ctum C in ipſis retineri poſſet; </s>
            <s xml:id="echoid-s7658" xml:space="preserve">celeritas omnium maxima eſt
              <lb/>
            in c, & </s>
            <s xml:id="echoid-s7659" xml:space="preserve">eâ punctum C ulterius fertur, deinde redit, variaſ-
              <lb/>
            que vibrationes peragit, in quibus punctum C niſi parva ſpa-
              <lb/>
            tia non excurrit; </s>
            <s xml:id="echoid-s7660" xml:space="preserve">qua de cauſa vis, qua, in omnibus diſtan-
              <lb/>
            tiis a c, agitatur punctum C, eſt ut hæc diſtantia . </s>
            <s xml:id="echoid-s7661" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0275-07" xlink:href="note-0275-07a" xml:space="preserve">678.</note>
            ergo motus hicce cum motu corporis in cycloïde vibrati,
              <lb/>
            & </s>
            <s xml:id="echoid-s7662" xml:space="preserve">vibrationes licet inæquales ſunt æque diuturnæ .</s>
            <s xml:id="echoid-s7663" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0275-08" xlink:href="note-0275-08a" xml:space="preserve">380. 387</note>
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