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

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          <pb o="177" file="0253" n="276" rhead="MATHEMATICA. LIB. I. CAP. XXVII."/>
        </div>
        <div xml:id="echoid-div973" type="section" level="1" n="241">
          <head xml:id="echoid-head341" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          . 1</head>
          <p>
            <s xml:id="echoid-s6949" xml:space="preserve">Suſpendatur Globus ex argillâ molli ita, ut reſpondeat me-
              <lb/>
            dio Machinæ n. </s>
            <s xml:id="echoid-s6950" xml:space="preserve">491. </s>
            <s xml:id="echoid-s6951" xml:space="preserve">tranſmiſſo filo per foramen medium f
              <lb/>
            (Tab. </s>
            <s xml:id="echoid-s6952" xml:space="preserve">18. </s>
            <s xml:id="echoid-s6953" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s6954" xml:space="preserve">2.) </s>
            <s xml:id="echoid-s6955" xml:space="preserve">ad latera hujus duo ſuſpendantur cylin-
              <lb/>
            dri D & </s>
            <s xml:id="echoid-s6956" xml:space="preserve">F, (Tab. </s>
            <s xml:id="echoid-s6957" xml:space="preserve">18. </s>
            <s xml:id="echoid-s6958" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s6959" xml:space="preserve">4.) </s>
            <s xml:id="echoid-s6960" xml:space="preserve">adhibitis uncis YY, loco
              <lb/>
            uncorum V, V, (fig. </s>
            <s xml:id="echoid-s6961" xml:space="preserve">2.) </s>
            <s xml:id="echoid-s6962" xml:space="preserve">Quieſcente globo, in hunc di-
              <lb/>
            mittantur, eodem momento, cylindri, major ve-
              <lb/>
            locitate quinque, & </s>
            <s xml:id="echoid-s6963" xml:space="preserve">alter velocitate decem, quæ
              <lb/>
            velocitates ſunt inversè ut maſſæ, in qua ratione et-
              <lb/>
            iam ſunt vires ; </s>
            <s xml:id="echoid-s6964" xml:space="preserve">poſt ictum tria corpora quieſcunt & </s>
            <s xml:id="echoid-s6965" xml:space="preserve">ca- vitates ab utraque parte ſunt æquales. </s>
            <s xml:id="echoid-s6966" xml:space="preserve">Inæquales eſſe ca-
              <lb/>
            vitates ſi corpora hæc ipſa eodem modo mota impingant in
              <lb/>
              <note position="right" xlink:label="note-0253-01" xlink:href="note-0253-01a" xml:space="preserve">
                <anchor type="note" xlink:href="" symbol="*"/>
              503.</note>
            obicem fixum ſuperius vidimus .</s>
            <s xml:id="echoid-s6967" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6968" xml:space="preserve">In hoc experimento vis majoris cylindri habetur multi-
              <lb/>
            plicando maſſam quatuor per quadratum velocitatis viginti
              <lb/>
            quinque , & </s>
            <s xml:id="echoid-s6969" xml:space="preserve">eſt 100; </s>
            <s xml:id="echoid-s6970" xml:space="preserve">eodem modo vis alîus cylindri
              <note symbol="*" position="right" xlink:label="note-0253-02" xlink:href="note-0253-02a" xml:space="preserve">470.</note>
            tegitur 200.</s>
            <s xml:id="echoid-s6971" xml:space="preserve">, & </s>
            <s xml:id="echoid-s6972" xml:space="preserve">ſumma virium 300; </s>
            <s xml:id="echoid-s6973" xml:space="preserve">vis hæc ictu perit, & </s>
            <s xml:id="echoid-s6974" xml:space="preserve">
              <lb/>
            cum cavitates ſint æquales in utraque formanda conſu-
              <lb/>
            mitur vis 150. </s>
            <s xml:id="echoid-s6975" xml:space="preserve">quod experimento ſequenti confirma-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s6976" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div976" type="section" level="1" n="242">
          <head xml:id="echoid-head342" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s6977" xml:space="preserve">Iiſdem poſitis quæ in experimento primo, tollatur cy-
              <lb/>
              <note position="right" xlink:label="note-0253-03" xlink:href="note-0253-03a" xml:space="preserve">632.</note>
            lindrus major & </s>
            <s xml:id="echoid-s6978" xml:space="preserve">in ipſius locum ſuſpendatur cylindrus minori
              <lb/>
            ſimilis & </s>
            <s xml:id="echoid-s6979" xml:space="preserve">æqualis. </s>
            <s xml:id="echoid-s6980" xml:space="preserve">Si globus paululum convertatur & </s>
            <s xml:id="echoid-s6981" xml:space="preserve">in
              <lb/>
            hunc cylindri ambo dimittantur velocitate 8 {2/3}, poſt ictum
              <lb/>
            corpora quieſcunt, & </s>
            <s xml:id="echoid-s6982" xml:space="preserve">cavitates erunt æquales inter ſe, & </s>
            <s xml:id="echoid-s6983" xml:space="preserve">
              <lb/>
            illis quæ in primo experimento formatæ ſunt. </s>
            <s xml:id="echoid-s6984" xml:space="preserve">Cum vires
              <lb/>
            ſint æquales & </s>
            <s xml:id="echoid-s6985" xml:space="preserve">cavitates æquales, corpus utrumque ſuam
              <lb/>
            format cavitatem, vis autem quæ conſumitur habetur multi-
              <lb/>
            plicando maſſam duo per quadratum velocitatis 75 {1/9}, & </s>
            <s xml:id="echoid-s6986" xml:space="preserve">eſt
              <lb/>
            150 {2/9}.</s>
            <s xml:id="echoid-s6987" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6988" xml:space="preserve">Si nunc concipiamus partes elaſticas flecti, ut memo-
              <lb/>
              <note position="right" xlink:label="note-0253-04" xlink:href="note-0253-04a" xml:space="preserve">633.</note>
            ratorum corporum mollium partes introcedunt, inflexio in-
              <lb/>
              <note position="right" xlink:label="note-0253-05" xlink:href="note-0253-05a" xml:space="preserve">
                <emph style="sc">TA. XXV.</emph>
                <lb/>
              fig. 4.</note>
            ter a & </s>
            <s xml:id="echoid-s6989" xml:space="preserve">b æqualis erit illi quæ datur inter b & </s>
            <s xml:id="echoid-s6990" xml:space="preserve">c; </s>
            <s xml:id="echoid-s6991" xml:space="preserve">& </s>
            <s xml:id="echoid-s6992" xml:space="preserve">con-
              <lb/>
            ſideranda ſunt corpora quaſi ſeparata actione elaſterio-
              <lb/>
            rum duorum æquè potentium inter hæc poſitorum. </s>
            <s xml:id="echoid-s6993" xml:space="preserve"/>
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