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

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        <div xml:id="echoid-div1207" type="section" level="1" n="307">
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            <emph style="sc">Machina</emph>
          2.</head>
          <head xml:id="echoid-head427" style="it" xml:space="preserve">Qua Corporum ſolidorum Denſitates conferuntur.</head>
          <p>
            <s xml:id="echoid-s8460" xml:space="preserve">Sit machina A, ſimilis machinæ in capite præcedenti de-
              <lb/>
              <note position="left" xlink:label="note-0314-01" xlink:href="note-0314-01a" xml:space="preserve">788.</note>
            ſcriptæ ; </s>
            <s xml:id="echoid-s8461" xml:space="preserve">in inferiori parte cum hac cohæret annulus DE;</s>
            <s xml:id="echoid-s8462" xml:space="preserve">
              <note position="left" xlink:label="note-0314-02" xlink:href="note-0314-02a" xml:space="preserve">TAB. XXXI.
                <lb/>
              fig. 5.</note>
            proprio pondere globus pro parte tantum aquâ immergitur.
              <lb/>
            </s>
            <s xml:id="echoid-s8463" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0314-03" xlink:href="note-0314-03a" xml:space="preserve">778</note>
            Uſui hæc Machina adaptari nequit, niſi, quantum ponde-
              <lb/>
            ris corpus quodcunque in aqua amittat, alia quacunque me-
              <lb/>
            thodo conſtet; </s>
            <s xml:id="echoid-s8464" xml:space="preserve">notumque ideo ponimus 109 {7/10} gr. </s>
            <s xml:id="echoid-s8465" xml:space="preserve">plumbi
              <lb/>
            in aqua ponderare 100 gr.</s>
            <s xml:id="echoid-s8466" xml:space="preserve">; imponantur ideo tot gr. </s>
            <s xml:id="echoid-s8467" xml:space="preserve">an-
              <lb/>
            nulo DE, quo machina, in aquam immiſſa, deſcendit ad
              <lb/>
            a; </s>
            <s xml:id="echoid-s8468" xml:space="preserve">adjiciatur aliud pondus ad libitum quod Ex. </s>
            <s xml:id="echoid-s8469" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8470" xml:space="preserve">in aqua
              <lb/>
            valet grana octo, & </s>
            <s xml:id="echoid-s8471" xml:space="preserve">machina deſcendet ad c; </s>
            <s xml:id="echoid-s8472" xml:space="preserve">ſpatium a c divi-
              <lb/>
            datur in partes octo, diviſionesque ſurſum & </s>
            <s xml:id="echoid-s8473" xml:space="preserve">deorſum conti-
              <lb/>
            nuentur, diviſioque a pro centeſima habeatur, diviſio c e-
              <lb/>
            rit centeſima octava, omnium infima in hac figura erit nona-
              <lb/>
            geſima ſeptima. </s>
            <s xml:id="echoid-s8474" xml:space="preserve">Clare patet, ſi n. </s>
            <s xml:id="echoid-s8475" xml:space="preserve">770 conferatur cum
              <lb/>
            præparatione memorata, diviſionem, ad quam machina in
              <lb/>
            aquam deſcendit, indicare pondus granorum, quo machi-
              <lb/>
            na gravatur; </s>
            <s xml:id="echoid-s8476" xml:space="preserve">impoſito ideò corpore annulo DE, illius
              <lb/>
            pondus in aquâ determinatur; </s>
            <s xml:id="echoid-s8477" xml:space="preserve">ſubtrahendo hocce pondus
              <lb/>
            ab illius pondere extra aquam, datur pondus in aqua amiſ-
              <lb/>
            ſum; </s>
            <s xml:id="echoid-s8478" xml:space="preserve">per quod, ſi pondus extra aquam dividatur, denſitas,
              <lb/>
            ut in principio hujus capitis dictum, detegitur.</s>
            <s xml:id="echoid-s8479" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8480" xml:space="preserve">Cum vero præcedens methodus & </s>
            <s xml:id="echoid-s8481" xml:space="preserve">magis compendioſa,
              <lb/>
              <note position="left" xlink:label="note-0314-04" xlink:href="note-0314-04a" xml:space="preserve">789.</note>
            quia & </s>
            <s xml:id="echoid-s8482" xml:space="preserve">in hoc librâ indigemus, & </s>
            <s xml:id="echoid-s8483" xml:space="preserve">magis accurata ſit hæc
              <lb/>
            negligi poſſet, & </s>
            <s xml:id="echoid-s8484" xml:space="preserve">machinam ipſam non indicaſſem, niſi uſu
              <lb/>
            veniret, ubi determinandum generaliter utrum corpora æ-
              <lb/>
            qualiter ponderantia denſitate differant, quod, ubi monetæ ex-
              <lb/>
            plorandæ ſunt, plerumque quæritur: </s>
            <s xml:id="echoid-s8485" xml:space="preserve">Machina autem hæc,
              <lb/>
            neglecta omni prævia præparatione hoc indicat, ſi ſucceſ-
              <lb/>
            ſive impoſitis corporibus annulo, machina ad profundi-
              <lb/>
            tates diverſas immergatur.</s>
            <s xml:id="echoid-s8486" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8487" xml:space="preserve">Si pondus pedis cubici aquæ multiplicemus
              <note position="left" xlink:label="note-0314-05" xlink:href="note-0314-05a" xml:space="preserve">790.</note>
            numerum, qui corporis denſitatem exprimit, habemus
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0314-06" xlink:href="note-0314-06a" xml:space="preserve">783.</note>
            pondus pedis cubici ipſius corporis, quæ ponderis deter-
              <lb/>
            minatio in multis occaſionibus uſum magnum habet.</s>
            <s xml:id="echoid-s8488" xml:space="preserve"/>
          </p>
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