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

Table of contents

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[271.] CAPUT II. De Actione Fluidorum in Fundos, Latera, & Opercula, vaſorum quibus continentur.
[272.] Machina
[273.] Experimentum 1.
[274.] Experimentum 2.
[275.] Experimentum 3.
[276.] Machina Qua demonſtratur Preſſio Fluidorum lateralis.
[277.] Experimentum 4.
[278.] Experimentum 5.
[279.] Follis hydrostaticus.
[280.] Experimentum 6.
[281.] CAPUT III. De Solidis fluidis immerſis.
[282.] Definitio 1.
[283.] Definitio. 2.
[284.] Definitio. 3.
[285.] Definitio. 4.
[286.] Experimentum 1.
[287.] Experimentum 2.
[288.] Experimentum 3.
[289.] Definitio 5.
[290.] Experimentum 4.
[291.] Experimentum. 5.
[292.] Experimentum 6.
[293.] Experimentum 7.
[294.] Experimentum 8.
[295.] Experimentum 9.
[296.] Experimentum. 10.
[297.] Experimentum 11.
[298.] CAPUT IV. De comparandis Fluidorum Denſitatibus.
[299.] Experimentum 1.
[300.] Machina Qua Fluidorum denſitates conferuntur.
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          <p>
            <s xml:id="echoid-s8265" xml:space="preserve">
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            tale ſpatium in fluido occupet, ut fluidum, quod idem hocce
              <lb/>
            ſpatium impleret, ejuſdem ponderis cum toto corpore ſit.
              <lb/>
            </s>
            <s xml:id="echoid-s8266" xml:space="preserve">In alio enim caſu ſolidum non eadem cum vi in partes vi-
              <lb/>
            cinas fluidi agit, cum qua fluidum ageret, ſi corporis locum
              <lb/>
            occuparet, in hoc tamen caſu ſolo quies fluidi & </s>
            <s xml:id="echoid-s8267" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0304-01" xlink:href="note-0304-01a" xml:space="preserve">713.</note>
            corporis dari poteſt.</s>
            <s xml:id="echoid-s8268" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8269" xml:space="preserve">Sequitur ex hac propoſitione, corporum, in ſuperficie
              <lb/>
              <note position="left" xlink:label="note-0304-02" xlink:href="note-0304-02a" xml:space="preserve">769.</note>
            ejuſdem fluidi natantium, partes immerſas eſſe inter ſe
              <lb/>
            ut corporum pondera. </s>
            <s xml:id="echoid-s8270" xml:space="preserve">Idcirco ſi, ſuperaddito pondere,
              <lb/>
            corporis gravitas mutetur, in eâdem ratione augetur pars
              <lb/>
            immerſa; </s>
            <s xml:id="echoid-s8271" xml:space="preserve">& </s>
            <s xml:id="echoid-s8272" xml:space="preserve">partes, quæ variis ponderibus in fluidum de-
              <lb/>
              <note position="left" xlink:label="note-0304-03" xlink:href="note-0304-03a" xml:space="preserve">770.</note>
            ſcendunt, ſunt inter ſe ut hæc pondera.</s>
            <s xml:id="echoid-s8273" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1178" type="section" level="1" n="296">
          <head xml:id="echoid-head410" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          . 10.</head>
          <p>
            <s xml:id="echoid-s8274" xml:space="preserve">Detur vas aquam continens A; </s>
            <s xml:id="echoid-s8275" xml:space="preserve">detur cylindrus cavus ex
              <lb/>
              <note position="left" xlink:label="note-0304-04" xlink:href="note-0304-04a" xml:space="preserve">771.</note>
              <note position="left" xlink:label="note-0304-05" xlink:href="note-0304-05a" xml:space="preserve">TAB. XXXI
                <lb/>
              fig. 1.</note>
            quocunque metallo C; </s>
            <s xml:id="echoid-s8276" xml:space="preserve">huic imponatur pondus p, ut parte
              <lb/>
            b d in aquam deſcendat; </s>
            <s xml:id="echoid-s8277" xml:space="preserve">ſuperaddito pondere ſemi libræ,
              <lb/>
            menſuretur quantum deſcendat; </s>
            <s xml:id="echoid-s8278" xml:space="preserve">addatur iterum atque ite-
              <lb/>
            rum pondus æquale, & </s>
            <s xml:id="echoid-s8279" xml:space="preserve">ſingulis vicibus æqualiter deſcen-
              <lb/>
            dit.</s>
            <s xml:id="echoid-s8280" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8281" xml:space="preserve">In n. </s>
            <s xml:id="echoid-s8282" xml:space="preserve">762. </s>
            <s xml:id="echoid-s8283" xml:space="preserve">& </s>
            <s xml:id="echoid-s8284" xml:space="preserve">763.</s>
            <s xml:id="echoid-s8285" xml:space="preserve">, Experimentis 7. </s>
            <s xml:id="echoid-s8286" xml:space="preserve">& </s>
            <s xml:id="echoid-s8287" xml:space="preserve">8. </s>
            <s xml:id="echoid-s8288" xml:space="preserve">confirmatis, vi-
              <lb/>
              <note position="left" xlink:label="note-0304-06" xlink:href="note-0304-06a" xml:space="preserve">772.</note>
            dimus, quomodo corpus fluido gravius ab hoc ſuſtineatur
              <lb/>
            & </s>
            <s xml:id="echoid-s8289" xml:space="preserve">quaſi natet; </s>
            <s xml:id="echoid-s8290" xml:space="preserve">ſimili methodo corpus fluido levius in fundo
              <lb/>
            retineri poteſt; </s>
            <s xml:id="echoid-s8291" xml:space="preserve">in illo caſu preſſio fluidi ſuperincumbentis
              <lb/>
            tollitur, hìc tollenda eſt preſſio fluidi inferioris qua corpus
              <lb/>
            ſurſum pellitur.</s>
            <s xml:id="echoid-s8292" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1181" type="section" level="1" n="297">
          <head xml:id="echoid-head411" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          11.</head>
          <p>
            <s xml:id="echoid-s8293" xml:space="preserve">Lamina ænea b c, exacte plana, ſuſtentaculo D impoſi-
              <lb/>
              <note position="left" xlink:label="note-0304-07" xlink:href="note-0304-07a" xml:space="preserve">773.</note>
              <note position="left" xlink:label="note-0304-08" xlink:href="note-0304-08a" xml:space="preserve">TAB. XXXI
                <lb/>
              fig. 2.</note>
            ta, in fundo vaſis A hæret; </s>
            <s xml:id="echoid-s8294" xml:space="preserve">lamina ſimilis b c cum fruſto
              <lb/>
            ſuberis E conjungitur, ita ut cum hoc conſtituat corpus
              <lb/>
            aqua levius; </s>
            <s xml:id="echoid-s8295" xml:space="preserve">congruant hæ laminæ, & </s>
            <s xml:id="echoid-s8296" xml:space="preserve">baculo ſuber retinea-
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            tur dum aqua affunditur; </s>
            <s xml:id="echoid-s8297" xml:space="preserve">relicto ſubere non adſcendet,
              <lb/>
            donec, hoc è loco moto, laminæ ſeparentur, ut aqua in
              <lb/>
            laminam cum ſubere conjunctam preſſionem ſuam exerere
              <lb/>
            poſſit, illamque cum ſubere in altum ferre.</s>
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