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

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            <s xml:id="echoid-s7499" xml:space="preserve">
              <pb o="191" file="0271" n="296" rhead="MATHEMATICA. LIB. I. CAP XXIX."/>
            & </s>
            <s xml:id="echoid-s7500" xml:space="preserve">neque gradus hicce tenſionis notus eſt; </s>
            <s xml:id="echoid-s7501" xml:space="preserve">illud conſtat,
              <lb/>
            tenſionem fibrarum, quæ Elaſticitatem conſtituit, certis
              <lb/>
            limitibus terminari.</s>
            <s xml:id="echoid-s7502" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7503" xml:space="preserve">Ex hiſce patet differentia corporum elaſticorum & </s>
            <s xml:id="echoid-s7504" xml:space="preserve">non
              <lb/>
              <note position="right" xlink:label="note-0271-01" xlink:href="note-0271-01a" xml:space="preserve">671.</note>
            elaſticorum; </s>
            <s xml:id="echoid-s7505" xml:space="preserve">quare corpus elaſticum Elaſticitatem amit tit,
              <lb/>
            & </s>
            <s xml:id="echoid-s7506" xml:space="preserve">quomodo Elaſticitate deſtitutum proprietatem hanc acqui-
              <lb/>
            rit. </s>
            <s xml:id="echoid-s7507" xml:space="preserve">Lamina metallica, repetitis mallei ictibus, quibus fibræ
              <lb/>
            tenduntur, fit elaſtica, calefacta vim hanc amittit, dum vi
              <lb/>
            ignis ſitus partium turbatur.</s>
            <s xml:id="echoid-s7508" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7509" xml:space="preserve">Inter limites tenſionis, quibus elaſticitas terminatur, pro
              <lb/>
            vario tenſionis gradu, vis diverſa requiritur, ad chordam
              <lb/>
            certa quantítate producendam; </s>
            <s xml:id="echoid-s7510" xml:space="preserve">quænam hic proportio lo-
              <lb/>
            cum habeat Experimentis determinari debet, quæ, ut jam
              <lb/>
            dictum, cum chordis metallicis inſtituenda ſunt. </s>
            <s xml:id="echoid-s7511" xml:space="preserve">Cum ve-
              <lb/>
            ro hæ chordæ vix ſenſibiliter producantur, directe produ-
              <lb/>
            ctionum proportiones menſurari nequeunt; </s>
            <s xml:id="echoid-s7512" xml:space="preserve">alia methodo
              <lb/>
            hæ determinantur.</s>
            <s xml:id="echoid-s7513" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7514" xml:space="preserve">Sit chorda horizontalis AB, certa vi tenſa; </s>
            <s xml:id="echoid-s7515" xml:space="preserve">cujus extre
              <lb/>
              <note position="right" xlink:label="note-0271-02" xlink:href="note-0271-02a" xml:space="preserve">
                <emph style="sc">TA XXVI</emph>
                <lb/>
              fig. 2.</note>
            mitates in A & </s>
            <s xml:id="echoid-s7516" xml:space="preserve">B fixæ ſunt; </s>
            <s xml:id="echoid-s7517" xml:space="preserve">pondere in medio chordæ ap-
              <lb/>
            penſo inflectatur chorda, ut ſitum ACB acquirat.</s>
            <s xml:id="echoid-s7518" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div1042" type="section" level="1" n="253">
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            <emph style="sc">Definitio.</emph>
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          <p style="it">
            <s xml:id="echoid-s7519" xml:space="preserve">Linea ut C c a puncto medio chordæ poſt inflexionem, ad
              <lb/>
              <note position="right" xlink:label="note-0271-03" xlink:href="note-0271-03a" xml:space="preserve">672.</note>
            punctum medium in ſitu naturali, vocatur chordæ ſagit-
              <lb/>
            ta.</s>
            <s xml:id="echoid-s7520" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7521" xml:space="preserve">Sit c e circuli portio, centro B, & </s>
            <s xml:id="echoid-s7522" xml:space="preserve">radio B c, deſcripti.
              <lb/>
            </s>
            <s xml:id="echoid-s7523" xml:space="preserve">Inflexione dimidia pars chordæ producta fuit quantita-
              <lb/>
            te C e, quæ quantitas cum ſagitta C c certam relationem
              <lb/>
            habet.</s>
            <s xml:id="echoid-s7524" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7525" xml:space="preserve">Pondus etiam, quo chorda inflectitur, certam cum vi,
              <lb/>
            qua fibra producitur, id eſt, per BC trahitur, relationem
              <lb/>
            habet; </s>
            <s xml:id="echoid-s7526" xml:space="preserve">& </s>
            <s xml:id="echoid-s7527" xml:space="preserve">ita in variis Experimentis ex comparationibus ſa-
              <lb/>
            gittarum, & </s>
            <s xml:id="echoid-s7528" xml:space="preserve">ponderum quibus chordæ inflectuntur, pro-
              <lb/>
            ductionum proportiones determinari poſſunt, ut ſequentibus
              <lb/>
            Experimentis patebit.</s>
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