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

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            <s xml:id="echoid-s459" xml:space="preserve">
              <pb o="17" file="0029" n="29" rhead="ARCHIMEDES."/>
            tate 2, fiat vt 23, ad 2, ita cubus ex 10, boc est 1000, ad alium nume-
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            rum qui ſit 86 {22/23}. </s>
            <s xml:id="echoid-s460" xml:space="preserve">is igitur numerus erit cubus diametri ſpbæræ ex
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            plumbo, grauitatem æqualem babentis propoſitæ ex aqua ſpbæræ B,
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            quare eius latus cubicum, quod est 4 {43/100}. </s>
            <s xml:id="echoid-s461" xml:space="preserve">ferè, indicabit ipſam
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            diametrum.</s>
            <s xml:id="echoid-s462" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s463" xml:space="preserve">Similiter ſi propoſitum corpus aqueum B, fuerit cubicum, vel alicu
              <lb/>
            ius alterius formæ regularis, eadem ratione vtemur ad inueniendum
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            latus cubi ex plumbo, grauitatem babentis æqualem propoſito ex aqua
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            cubo B, nam ſi ex aqua cubi B, datum ſit latus 10, erit numerus
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            86 {22/23}. </s>
            <s xml:id="echoid-s464" xml:space="preserve">cubus ex plumbo æqualis grauitate propoſito ex aqua cubo B,
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            quare latus cubicum numeri 86 {22/23}. </s>
            <s xml:id="echoid-s465" xml:space="preserve">quod eſt 4 {43/100}. </s>
            <s xml:id="echoid-s466" xml:space="preserve">ferè, indicabit
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            quæſitum latus cubi ex plumbo.</s>
            <s xml:id="echoid-s467" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s468" xml:space="preserve">Neque diſſimili ratione inuenienda erit magnitudo auri,
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            argenti, ceræ, aut cuiuſcunque ſolidi, grauitatem habentis
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            propoſito corpori liquido æqualem.</s>
            <s xml:id="echoid-s469" xml:space="preserve"/>
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        <div xml:id="echoid-div36" type="section" level="1" n="21">
          <head xml:id="echoid-head24" xml:space="preserve">PROBLEMAV. PROPOS. XII.</head>
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            <s xml:id="echoid-s470" xml:space="preserve">PRopoſitis duobus ſolidis corporibus magnitudine
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            æqualibus, data grauitate vnius, grauitatem al-
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            terius inuenire.</s>
            <s xml:id="echoid-s471" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s472" xml:space="preserve">SINT propoſita duo corpora ſo-
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              <figure xlink:label="fig-0029-01" xlink:href="fig-0029-01a" number="13">
                <image file="0029-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0029-01"/>
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            lida magnitudine æqualia A, B, ſit au-
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            tem vnius, vtpote ipſius A, data gra-
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            uitas C, & </s>
            <s xml:id="echoid-s473" xml:space="preserve">oporteat inuenire grauita-
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            tem ipſius B. </s>
            <s xml:id="echoid-s474" xml:space="preserve">Accipiatur aliquod ſoli-
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            dum corpus D, eiuſdem generis cum
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            corpore ſolido A, cuiæquale grauita-
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            te accipiatur alterum E, eiuſdem ge-
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            neris cum corpore B, deinde liquidi
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            magnitudine æqualis corpori D,
              <note position="right" xlink:label="note-0029-01" xlink:href="note-0029-01a" xml:space="preserve">8. buius</note>
            ueniatur grauitas, quæ ſit G, item li-
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            quidi eiuſdem generis, æqualis ma-
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            gnitudine corpori E, inueniatur grauitas, quæ ſit H, & </s>
            <s xml:id="echoid-s475" xml:space="preserve">fiat vt H,
              <note position="right" xlink:label="note-0029-02" xlink:href="note-0029-02a" xml:space="preserve">8. buius</note>
            G, ita C, ad aliam grauitatem, quæ ſit F. </s>
            <s xml:id="echoid-s476" xml:space="preserve">Quoniam igitur ſunt qua-
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            tuor corpora A, B, D, E, quorum A, B, primum videlicet, & </s>
            <s xml:id="echoid-s477" xml:space="preserve">ſecundum
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            ſunt æqualia magnitudine, tertium vero D, & </s>
            <s xml:id="echoid-s478" xml:space="preserve">E, quartum æque gra-
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            uia, & </s>
            <s xml:id="echoid-s479" xml:space="preserve">ſunt eiuſdĕ generis ſolida A, D, itidem ſolida B, E, erit vt
              <note position="right" xlink:label="note-0029-03" xlink:href="note-0029-03a" xml:space="preserve">6. buius</note>
            uitas C, ad ſolidi B, grauitatem, ita grauitas H, ad grauitatem G, </s>
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