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

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          <p>
            <s xml:id="echoid-s8092" xml:space="preserve">
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            poribus homogeneis, in eadem ſunt ratione; </s>
            <s xml:id="echoid-s8093" xml:space="preserve">& </s>
            <s xml:id="echoid-s8094" xml:space="preserve">ſunt inter ſe
              <lb/>
            ut pondera corporum æqualium quantum ad volumen.</s>
            <s xml:id="echoid-s8095" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8096" xml:space="preserve">Si corpora homogenea fuerint ejuſdem ponderis, vo-
              <lb/>
              <note position="left" xlink:label="note-0296-01" xlink:href="note-0296-01a" xml:space="preserve">438.</note>
            lumina eo ſunt minora quo denſitates ſunt majores, & </s>
            <s xml:id="echoid-s8097" xml:space="preserve">ma-
              <lb/>
            nente pondere, minuitur volumen in eadem ratione, in
              <lb/>
            qua denſitas augetur; </s>
            <s xml:id="echoid-s8098" xml:space="preserve">ſunt ideo in hoc cafu volumina inver-
              <lb/>
            ſe ut denſitates.</s>
            <s xml:id="echoid-s8099" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8100" xml:space="preserve">In homogeneis corporibus, ſi duæ dentur ex tribus ra-
              <lb/>
            tionibus, ponderum, voluminum, & </s>
            <s xml:id="echoid-s8101" xml:space="preserve">denſitatum, tertia
              <lb/>
            detegitur.</s>
            <s xml:id="echoid-s8102" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s8103" xml:space="preserve">Pondera enim ſunt in ratione compoſita voluminum & </s>
            <s xml:id="echoid-s8104" xml:space="preserve">denſi-
              <lb/>
              <note position="left" xlink:label="note-0296-02" xlink:href="note-0296-02a" xml:space="preserve">739.</note>
            tatum.</s>
            <s xml:id="echoid-s8105" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s8106" xml:space="preserve">Volumina idcirco ſunt directè ut pondera, & </s>
            <s xml:id="echoid-s8107" xml:space="preserve">inverſe ut
              <lb/>
              <note position="left" xlink:label="note-0296-03" xlink:href="note-0296-03a" xml:space="preserve">740.</note>
            denſitates.</s>
            <s xml:id="echoid-s8108" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s8109" xml:space="preserve">Tandem denſitates ſunt directè ut pondera, & </s>
            <s xml:id="echoid-s8110" xml:space="preserve">inverſè ut
              <lb/>
              <note position="left" xlink:label="note-0296-04" xlink:href="note-0296-04a" xml:space="preserve">741.</note>
            volumina.</s>
            <s xml:id="echoid-s8111" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s8112" xml:space="preserve">Quando ſolidum fluido immergitur, a fluido ab omni par-
              <lb/>
              <note position="left" xlink:label="note-0296-05" xlink:href="note-0296-05a" xml:space="preserve">742.</note>
            te premitur, preſſioque hæc in ratione altitudinis fluidi ſu-
              <lb/>
            pra ſolidum creſcit. </s>
            <s xml:id="echoid-s8113" xml:space="preserve">Ut hoc ex dictis in capite præcedenti
              <lb/>
            ſequitur, ac etiam directo Experimento probatur.</s>
            <s xml:id="echoid-s8114" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1143" type="section" level="1" n="286">
          <head xml:id="echoid-head400" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s8115" xml:space="preserve">Extremitati tubi vitrei B m alligatur ſaccus coriaceus S,
              <lb/>
              <note position="left" xlink:label="note-0296-06" xlink:href="note-0296-06a" xml:space="preserve">743.</note>
            mercurio plenus, veſica etiam poteſt adhiberi; </s>
            <s xml:id="echoid-s8116" xml:space="preserve">immergitur
              <lb/>
              <note position="left" xlink:label="note-0296-07" xlink:href="note-0296-07a" xml:space="preserve">TAB. XXIX.
                <lb/>
              fig. 3.</note>
            ſaccus hic aquâ, ita, ut extremitas B tubi ſupra aquam
              <lb/>
            perveniat.</s>
            <s xml:id="echoid-s8117" xml:space="preserve">. Preſſione aquæ in ſuperficiem ſacci. </s>
            <s xml:id="echoid-s8118" xml:space="preserve">adſcendit
              <lb/>
            mercurius in tubum, ut perveniat ad m; </s>
            <s xml:id="echoid-s8119" xml:space="preserve">adſcenſusque mer-
              <lb/>
            curii ſequitur proportionem altitudinis aquæ ſupra ſaccum.</s>
            <s xml:id="echoid-s8120" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8121" xml:space="preserve">Quando ſolidum ad magnam profunditatem fluido im-
              <lb/>
            mergitur, preſſio in ſuperiorem partem a preſſione in in-
              <lb/>
            feriorem vix differt; </s>
            <s xml:id="echoid-s8122" xml:space="preserve">unde corpora altè immerſa ab omni
              <lb/>
              <note position="left" xlink:label="note-0296-08" xlink:href="note-0296-08a" xml:space="preserve">744.</note>
            parte quaſi æqualiter premuntur; </s>
            <s xml:id="echoid-s8123" xml:space="preserve">quæ preſſio a corporibus
              <lb/>
            mollibus ſine figuræ mutatione, & </s>
            <s xml:id="echoid-s8124" xml:space="preserve">ab admodum fragilibus
              <lb/>
            fine diſruptione, ſuſtineri poteſt.</s>
            <s xml:id="echoid-s8125" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1146" type="section" level="1" n="287">
          <head xml:id="echoid-head401" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s8126" xml:space="preserve">Fruſtum ceræ mollis, figuræ irregularis, & </s>
            <s xml:id="echoid-s8127" xml:space="preserve">ovum, ve-
              <lb/>
              <note position="left" xlink:label="note-0296-09" xlink:href="note-0296-09a" xml:space="preserve">745.</note>
            ſicæ aquâ repletæ includuntur, veſica exacte clauſa pyxidi
              <lb/>
              <note position="left" xlink:label="note-0296-10" xlink:href="note-0296-10a" xml:space="preserve">TAB. XXVIII.
                <lb/>
              fig 5.</note>
            </s>
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