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

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          <head xml:id="echoid-head18" xml:space="preserve">PROBLEMA II. PROPOS. IX.</head>
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            <s xml:id="echoid-s347" xml:space="preserve">PRopoſitis duobus corporibus magnitudine æquali-
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            bus, vno ſolido, altero liquido, data corporis li-
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            quidi grauitate, grauitatem ſolidi inuenire.</s>
            <s xml:id="echoid-s348" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s349" xml:space="preserve">SINT duo propoſita corpora
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            magnitudine æqualia, A, quidem ſo-
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            lidum, B, vero liquidum, ſit autem li-
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            quidi B, data grauitas F, & </s>
            <s xml:id="echoid-s350" xml:space="preserve">oporteat
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            inuenire grauitatem ſolidi A, accipia
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            tur aliquod corpus ſolidum D, eiuſdĕ
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            generis, cum ſolido A, cuius grauitas
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            ſit H, deinde liquidi eiuſdem generis
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            cum liquido B, magnitudine æqualis
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            ſolido D, inueniatur grauitas quæ
              <note position="right" xlink:label="note-0023-01" xlink:href="note-0023-01a" xml:space="preserve">8. hu-
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              ius.</note>
            G, & </s>
            <s xml:id="echoid-s351" xml:space="preserve">fiat vt G, ad H, ita F, ad aliam
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            grauitatem, quæ ſit C. </s>
            <s xml:id="echoid-s352" xml:space="preserve">Dico ſolidi A,
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            grauitatem eſſe C, accipiatur enim aliquod corpus liquidum E, eiuſ-
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            dem generis cum liquido B, grauitatem habens æqualem ſolido D,
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            Quoniam igitur ſunt quatuor corpora grauia B, A, E, D, quorum pri-
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            mum B, & </s>
            <s xml:id="echoid-s353" xml:space="preserve">ſecundum A, ſunt magnitudine æqualia, tertium vero E,
              <lb/>
            & </s>
            <s xml:id="echoid-s354" xml:space="preserve">quartum D, æquegrauia, & </s>
            <s xml:id="echoid-s355" xml:space="preserve">ſunt eiuſdem generis corpora B, E, ſi-
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            militer, & </s>
            <s xml:id="echoid-s356" xml:space="preserve">corpora A, D, erit vt grauitas liquidi æqualis
              <note position="right" xlink:label="note-0023-02" xlink:href="note-0023-02a" xml:space="preserve">6. huius</note>
            ne ſolido D, hoc eſt vt G, ad grauitatem liquidi E; </s>
            <s xml:id="echoid-s357" xml:space="preserve">hoc eſt ad H, ponũ-
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            tnr enim æque grauia corpora D, E, ita grauitas F, ad ſolidi A, graui-
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            tatem, ſed vt grauitas G, ad grauitatem H, ita eſt grauitas F, ad C,
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            grauitatem, ergo grauitas C, æqualis erit grauitati ſolidi A. </s>
            <s xml:id="echoid-s358" xml:space="preserve">Inuenta
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            igitur eſt ſolidi A, grauitas C, quod facere oportebat.</s>
            <s xml:id="echoid-s359" xml:space="preserve"/>
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          <head xml:id="echoid-head19" xml:space="preserve">Exemplum.</head>
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            <s xml:id="echoid-s360" xml:space="preserve">QVidam proponit aliquod corpus liquidum notæ
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            grauitatis, & </s>
            <s xml:id="echoid-s361" xml:space="preserve">vult ſcire quanta erit grauitas alicu-
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            ius ſolidi, magnitudinem habentis propoſito Corpori li-
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            quido æqualem.</s>
            <s xml:id="echoid-s362" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s363" xml:space="preserve">Sitpropoſitum aliquod corpus aqueum B, euius grauitas ſit 100. </s>
            <s xml:id="echoid-s364" xml:space="preserve">&</s>
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