Ghetaldi, Marino, Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis

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            <s xml:id="echoid-s266" xml:space="preserve">
              <pb o="8" file="0020" n="20" rhead="PROMOTVS"/>
            eſt grauitas CE, ergo grauitas liquidi magnitudine æqualis folido A,
              <lb/>
            erit CE.</s>
            <s xml:id="echoid-s267" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s268" xml:space="preserve">Si vero ſolidum A, ſit leuius liquido, accipiatur aliquod aliud cor-
              <lb/>
            pus ſolidum F, grauius liquido, ita vt ſolidum conſtans ex vtriſque,
              <lb/>
            ſolidis A, F, demiſſum in liquidum feratur deorſum, & </s>
            <s xml:id="echoid-s269" xml:space="preserve">ſit ſolidi F,
              <lb/>
            grauitas DG, item eiuſdem ſolidi F, in liquido videlicet exiſtentis ſit
              <lb/>
              <note position="left" xlink:label="note-0020-01" xlink:href="note-0020-01a" xml:space="preserve">5. huius</note>
            grauitas HG, ergo liquidi magnitudine æqualis ſolido F, erit gra- uitas DH.</s>
            <s xml:id="echoid-s270" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s271" xml:space="preserve">Et quoniam ſolidi A, grauitas eſt CD, ſolidi vero F, grauitas DG,
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            erit vtrorumque ſolidorum A, F, grauitas CG. </s>
            <s xml:id="echoid-s272" xml:space="preserve">coniungantur ſolida
              <lb/>
            A, F, & </s>
            <s xml:id="echoid-s273" xml:space="preserve">ſolidum ex vtriſque conſtans demittatur in liquidum, & </s>
            <s xml:id="echoid-s274" xml:space="preserve">ha-
              <lb/>
            beat in liquido grauitatem GI, (habebit autem in liquido minorem
              <lb/>
            grauitatem, quam ſolum ſolidum F, quoniam ſolidum F, grauius li-
              <lb/>
            quido fertur deorſum nullo prohibente, & </s>
            <s xml:id="echoid-s275" xml:space="preserve">coniunctum cum ſolido A,
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            leuiori liqnido ab eo ſuſtinetut, ne deorſum feratur tãta vi, qua ſeiun-
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            ctum) quoniam igitur ſolidi, quod conſtat ex vtriſque ſolidis A, F,
              <lb/>
              <note position="left" xlink:label="note-0020-02" xlink:href="note-0020-02a" xml:space="preserve">5. huius</note>
            grauitas eſt CG, in liquido vero exiſtentis grauitas GI, erit liquidi habentis magnitudinem æqualem vtriſque ſolidis A, F, grauitas CI,
              <lb/>
            ſed grauitas liquidi æqualis magnitudine ſolido F, eſt DH, ergo reli-
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            qui liquidi æqualis ſolido A, erit grauitas CD, IH, ſed liquidum B,
              <lb/>
            æquatur magnitudine folido A, ergo grauitas liquidi B, erit CD, IH,
              <lb/>
            inuenta igitur eſt liquidi corporis B, grauitas CD, IH, de qua quæ-
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            rebatur.</s>
            <s xml:id="echoid-s276" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s277" xml:space="preserve">Placet huic Problemati exemplum apponere, vt vnicuique
              <lb/>
            etiam diſciplinæ Mathematicæ experto ad vſum pateat adi-
              <lb/>
            tus; </s>
            <s xml:id="echoid-s278" xml:space="preserve">quare etiam ſequentibus Problematis apponemus ſimilia
              <lb/>
            exempla.</s>
            <s xml:id="echoid-s279" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div24" type="section" level="1" n="14">
          <head xml:id="echoid-head17" xml:space="preserve">Exemplum.</head>
          <p>
            <s xml:id="echoid-s280" xml:space="preserve">QVidam proponit aliquod corpus ſolidum notæ
              <lb/>
            grauitatis, & </s>
            <s xml:id="echoid-s281" xml:space="preserve">vult ſcire quanta erit grauitas liqui-
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            di, magnitudinem habentis propoſito Corpori ſolido æ-
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            qualem.</s>
            <s xml:id="echoid-s282" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s283" xml:space="preserve">Sit primum propoſitum aliquod corpus plumbeum A, cuius graui-
              <lb/>
            tas ſit 23. </s>
            <s xml:id="echoid-s284" xml:space="preserve">& </s>
            <s xml:id="echoid-s285" xml:space="preserve">oporteat ſcire quanta erit grauitas aquæ magnitudinem
              <lb/>
            babentis æqualem propoſito plumbo A, ponderetur plumbum A, in
              <lb/>
            aqua (modum quo ponderanda ſint corpora ſolida in aqua, inferius
              <lb/>
            apponemus) & </s>
            <s xml:id="echoid-s286" xml:space="preserve">babeat grauitatem 21. </s>
            <s xml:id="echoid-s287" xml:space="preserve">quoniam igitur numerus 23.</s>
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