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

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            <s xml:id="echoid-s8174" xml:space="preserve">
              <pb o="215" file="0301" n="329" rhead="MATHEMATICA. LIB. II. CAP. III."/>
            fuſâ eâdem aquæ quantitate, quæ nempe implet vas E, æ-
              <lb/>
            quilibrium ſemper inſtauratur.</s>
            <s xml:id="echoid-s8175" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8176" xml:space="preserve">Ex dictis ulterius ſequitur quomodocunque inter ſe diffe-
              <lb/>
              <note position="right" xlink:label="note-0301-01" xlink:href="note-0301-01a" xml:space="preserve">756.</note>
            rant denſitates corporum inæqualium, ſi eodem fluido im-
              <lb/>
            mergantur, pondera ab iis amiſſa eſſe in ratione volu-
              <lb/>
            minum. </s>
            <s xml:id="echoid-s8177" xml:space="preserve">In ea enim ratione ſunt ſpatia ab iis in fluido occu-
              <lb/>
            pata.</s>
            <s xml:id="echoid-s8178" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8179" xml:space="preserve">Idcirco corpora ejuſdem ponderis, ſed diverſæ denſi-
              <lb/>
            tatis, partes inæquales ponderis amittunt, quando eo-
              <lb/>
            dem fluido immerguntur, propter voluminum inæqualita-
              <lb/>
            tem.</s>
            <s xml:id="echoid-s8180" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1159" type="section" level="1" n="290">
          <head xml:id="echoid-head404" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s8181" xml:space="preserve">Fruſta ejuſdem ponderis, unum auri, alterum plumbi,
              <lb/>
              <note position="right" xlink:label="note-0301-02" xlink:href="note-0301-02a" xml:space="preserve">757.</note>
            g, g, capillis equinis, uncis bilancis ſæpius memoratæ
              <note position="right" xlink:label="note-0301-03" xlink:href="note-0301-03a" xml:space="preserve">TAB. XXIX.
                <lb/>
              fig. 4.</note>
            penduntur, æquilibrium datur; </s>
            <s xml:id="echoid-s8182" xml:space="preserve">deſcendat bilanx, & </s>
            <s xml:id="echoid-s8183" xml:space="preserve">corpo-
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0301-04" xlink:href="note-0301-04a" xml:space="preserve">701.</note>
            ra g, g, aquâ, vaſis F, F contentâ, immergantur, æquilibri-
              <lb/>
            um deſtruetur.</s>
            <s xml:id="echoid-s8184" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8185" xml:space="preserve">Quando ſolidum, fluido ſpecifice gravius, in fluido
              <lb/>
            ſuſpenditur, fluidum, ab omni parte, in illud ſolidum,
              <lb/>
            pro altitudine ſua, agit , & </s>
            <s xml:id="echoid-s8186" xml:space="preserve">ſolidum æqualiter in illud
              <note symbol="*" position="right" xlink:label="note-0301-05" xlink:href="note-0301-05a" xml:space="preserve">742.</note>
            git; </s>
            <s xml:id="echoid-s8187" xml:space="preserve">actiones illæ ſunt igitur eædem, ac ſi ſpatium, a ſolido
              <lb/>
            occupatum, ipſo fluido impleretur; </s>
            <s xml:id="echoid-s8188" xml:space="preserve">& </s>
            <s xml:id="echoid-s8189" xml:space="preserve">ita non intereſt, quo
              <lb/>
              <note position="right" xlink:label="note-0301-06" xlink:href="note-0301-06a" xml:space="preserve">758.</note>
            ad pondus totius fluidi, utrum in eo ſolidum ſpecifice gravius
              <lb/>
            ſuſpendatur, an affundatur ejuſdem fluidi quantitas, quæ
              <lb/>
            æquale ſpatium cum ſolido occupat.</s>
            <s xml:id="echoid-s8190" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1162" type="section" level="1" n="291">
          <head xml:id="echoid-head405" xml:space="preserve">
            <emph style="sc">Experimentum.</emph>
          5.</head>
          <p>
            <s xml:id="echoid-s8191" xml:space="preserve">Vas A, aquam continens, brachio libræ ſuſpenditur, ei-
              <lb/>
              <note position="right" xlink:label="note-0301-07" xlink:href="note-0301-07a" xml:space="preserve">759.</note>
            que immergitur cylindrus æneus C, qui capillo equino ſuſti-
              <lb/>
              <note position="right" xlink:label="note-0301-08" xlink:href="note-0301-08a" xml:space="preserve">TAB. XXX.
                <lb/>
              fig. 2.</note>
            netur, ne fundum vaſis tangat; </s>
            <s xml:id="echoid-s8192" xml:space="preserve">pondere lanci oppoſitæ
              <lb/>
            impoſito, datur æquilibrium. </s>
            <s xml:id="echoid-s8193" xml:space="preserve">Extracto cylindro C deſtrui-
              <lb/>
            tur æquilibrium, & </s>
            <s xml:id="echoid-s8194" xml:space="preserve">inſtauratur infundendo aquam, quæ cy-
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            lindro cavo E contineri poteſt, in quo ſi inſeratur cylindrus
              <lb/>
            ſolidus C, exacte ab hoc repletur.</s>
            <s xml:id="echoid-s8195" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8196" xml:space="preserve">Ex collatione n. </s>
            <s xml:id="echoid-s8197" xml:space="preserve">751. </s>
            <s xml:id="echoid-s8198" xml:space="preserve">& </s>
            <s xml:id="echoid-s8199" xml:space="preserve">758.</s>
            <s xml:id="echoid-s8200" xml:space="preserve">, ut & </s>
            <s xml:id="echoid-s8201" xml:space="preserve">Experimentorum 3. </s>
            <s xml:id="echoid-s8202" xml:space="preserve">& </s>
            <s xml:id="echoid-s8203" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0301-09" xlink:href="note-0301-09a" xml:space="preserve">760.</note>
            5. </s>
            <s xml:id="echoid-s8204" xml:space="preserve">quibus illi confirmantur, patet, fluidum acquirere pondus
              <lb/>
            quod ſolidum immerſum amittit. </s>
            <s xml:id="echoid-s8205" xml:space="preserve">Vis gravitatis ſemper </s>
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