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

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            <s xml:id="echoid-s9785" xml:space="preserve">
              <pb o="270" file="0370" n="405" rhead="PHYSICES ELEMENTA"/>
            locitate in qua æquales ſunt reſiſtentiæ hæ, prima erit ad
              <lb/>
            ſecundam ut unum ad centum.</s>
            <s xml:id="echoid-s9786" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9787" xml:space="preserve">Reſiſtentia autem ex ſecundâ caujâ in variis fluidis ſe-
              <lb/>
              <note position="left" xlink:label="note-0370-01" xlink:href="note-0370-01a" xml:space="preserve">926.</note>
            quitur rationem particularum ex loco motarum; </s>
            <s xml:id="echoid-s9788" xml:space="preserve">pendete-
              <lb/>
            nim a materiæ inertia, quæ materiæ quantitatis rationem
              <lb/>
            ſequitur : </s>
            <s xml:id="echoid-s9789" xml:space="preserve">eſt ergo reſiſtentia hæc ceteris paribus ut
              <note symbol="*" position="left" xlink:label="note-0370-02" xlink:href="note-0370-02a" xml:space="preserve">13.</note>
            denſitas.</s>
            <s xml:id="echoid-s9790" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9791" xml:space="preserve">Computatio de reſiſtentia ex ſecunda cauſâ iniri poteſt,
              <lb/>
            nullo inſtituto experimento, determinando pondus quod
              <lb/>
            hanc reſiſtentiam valet.</s>
            <s xml:id="echoid-s9792" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9793" xml:space="preserve">Sit corpus cujus ſuperficies AB reſiſtentiam patitur, dum
              <lb/>
              <note position="left" xlink:label="note-0370-03" xlink:href="note-0370-03a" xml:space="preserve">927.</note>
            motus directio ad hanc ſuperſiciem perpendicularis eſt; </s>
            <s xml:id="echoid-s9794" xml:space="preserve">po-
              <lb/>
              <note position="left" xlink:label="note-0370-04" xlink:href="note-0370-04a" xml:space="preserve">TAB. XXXVI.
                <lb/>
              fig. 4.</note>
            nimus autem ut ſuperius, corpus quieſcere, dum fluidum
              <lb/>
            movetur, quo actio fluidi in corpus non mutatur .</s>
            <s xml:id="echoid-s9795" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">897.</note>
          <p>
            <s xml:id="echoid-s9796" xml:space="preserve">Sit ſuperficiei AB æqualis ſuperficies CD in fundo vaſis,
              <lb/>
            continentis ſimile fluidum ad altitudinem EF; </s>
            <s xml:id="echoid-s9797" xml:space="preserve">ponamus præ-
              <lb/>
            terea preſſionem quam patitur pars CD fundi, æqualem eſſe
              <lb/>
            actioni, quam patitur AB, ſepoſita partium cohæſio-
              <lb/>
            ne.</s>
            <s xml:id="echoid-s9798" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9799" xml:space="preserve">Plana hæc duo æqualia, cohibent ſingula motum fluidi;
              <lb/>
            </s>
            <s xml:id="echoid-s9800" xml:space="preserve">& </s>
            <s xml:id="echoid-s9801" xml:space="preserve">propter actionum ſuarum æqualitatem, æquales motus
              <lb/>
            cohibent. </s>
            <s xml:id="echoid-s9802" xml:space="preserve">Ideoque ſublatis ipſis planis, fluidum in locis in
              <lb/>
            quibus plana agebant eâdem velocitate fertur, id eſt, flui-
              <lb/>
            dum, quod in fuperficiem AB agit, movetur velocitate qua
              <lb/>
            fluidum per foramen in CD exire poteſt, id eſt veloci-
              <lb/>
            tate, quam corpus acquirit in vacuo cadendo ab altitudine
              <lb/>
            EC ; </s>
            <s xml:id="echoid-s9803" xml:space="preserve">ſeponimus enim cohæſionem partium & </s>
            <s xml:id="echoid-s9804" xml:space="preserve">omnem
              <note symbol="*" position="left" xlink:label="note-0370-06" xlink:href="note-0370-06a" xml:space="preserve">796.</note>
            tritum. </s>
            <s xml:id="echoid-s9805" xml:space="preserve">Ergo actio, quam patitur ſuperficies AB, dum
              <lb/>
            fluidum in hancagit, valet pondus columnæ fluidi, cujus ba-
              <lb/>
            ſis eſt CD, aut AB, & </s>
            <s xml:id="echoid-s9806" xml:space="preserve">altitudo EF; </s>
            <s xml:id="echoid-s9807" xml:space="preserve">hæc eſt enim preſſio
              <lb/>
            quam patitur CD .</s>
            <s xml:id="echoid-s9808" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">721.</note>
          <p style="it">
            <s xml:id="echoid-s9809" xml:space="preserve">Unde patet Priſmatis recti, juxta directionem ad baſim
              <lb/>
              <note position="left" xlink:label="note-0370-08" xlink:href="note-0370-08a" xml:space="preserve">928.</note>
            perpendicularem, in fluido moti, reſiſtentiam valere pondus
              <lb/>
            columnæ ejuſdem fluidi, cujus baſis æqualis eſt baſi priſma-
              <lb/>
            tis, & </s>
            <s xml:id="echoid-s9810" xml:space="preserve">cujus altitudo illa eſt, à qua corpus in vacuo </s>
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