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

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          <head xml:id="echoid-head27" xml:space="preserve">Exemplum.</head>
          <p>
            <s xml:id="echoid-s540" xml:space="preserve">QVidam proponit aliquod corpus ſolidum notæ
              <lb/>
            magnitudinis, & </s>
            <s xml:id="echoid-s541" xml:space="preserve">vult inuenire, quanta erit magni
              <lb/>
            tudo alicuius ſolidi alterius generis, grauitatem
              <lb/>
            habentis propoſito corpori ſolido æqualem.</s>
            <s xml:id="echoid-s542" xml:space="preserve"/>
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            <s xml:id="echoid-s543" xml:space="preserve">S I T propoſitum aliquod corpus plumbeum A, cuius magnitudo
              <lb/>
            740, & </s>
            <s xml:id="echoid-s544" xml:space="preserve">oporteat inuenire quanta erit magnitudo ſtanni, grauita-
              <lb/>
            tem babentis æqualem propoſito plumbo A. </s>
            <s xml:id="echoid-s545" xml:space="preserve">Accipiatur aliquod cor-
              <lb/>
            pus plumbeum D, cuius grauitas ſit 115, deinde stanni, magnitudi-
              <lb/>
            ne æqualis plumbo D, inueniatur grauitas, quæ ſit 74, quod quomo-
              <lb/>
            do fieri oporteat, dictum est in antecedentis Problematis exemplo, & </s>
            <s xml:id="echoid-s546" xml:space="preserve">
              <lb/>
            fiat vt 74, ad 115. </s>
            <s xml:id="echoid-s547" xml:space="preserve">ita 740, ad alium numerum qui ſit 1150, is igitur
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            numerus indicabit quanta erit magnitudo ſtanni, grauitatem baben
              <lb/>
            tis æquatem propoſito plumbo A.</s>
            <s xml:id="echoid-s548" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s549" xml:space="preserve">Quod ſi propoſitum corpus plumbeum A, ſit ſphæricum, cu
              <lb/>
            ius ſphæræ diameter ſit 10, & </s>
            <s xml:id="echoid-s550" xml:space="preserve">oporteat inuenire quanta erit
              <lb/>
            diameter ſphæræ ex ſtanno, grauitatem habentis æqualem
              <lb/>
            propoſitæ ſphæræ A, ita faciendum erit.</s>
            <s xml:id="echoid-s551" xml:space="preserve"/>
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            <s xml:id="echoid-s552" xml:space="preserve">Accipiatur vt diximus aliquod corpus plumbeum D, cuius graui-
              <lb/>
            tas ſit 115, & </s>
            <s xml:id="echoid-s553" xml:space="preserve">ſtanni, magnitudinem habentis æqualem plumbo D, in-
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            ueniatur grauitas, quæ ſit 74. </s>
            <s xml:id="echoid-s554" xml:space="preserve">& </s>
            <s xml:id="echoid-s555" xml:space="preserve">fiat vt 74, ad 115, ita cubus ex 10,
              <lb/>
            qui eſt 1000, ad alium numerum qui ſit 1554 {2/37}, is igitur numerus
              <lb/>
            erit cubus diametri ſphæræ ex stanno, grauitatem babentis æqualem
              <lb/>
            propoſitæ ex plumbo ſpbæræ A, quare eius latus eubicum, quod est
              <lb/>
            11 {58/100}, vero proximum, indicabit ipſam diametrum.</s>
            <s xml:id="echoid-s556" xml:space="preserve"/>
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            <s xml:id="echoid-s557" xml:space="preserve">Similiter ſipropoſitum corpus plumbeum A, fuerit cubicum, vel
              <lb/>
            alicuius alterius formæ regularis, eadem ratione inuenietur latus cu
              <lb/>
            biex stanno, grauitatem babentis æqualem propoſito plumbeo cu-
              <lb/>
            bo A, ſi enim ipſius cubi plumbei A, datum ſit latus 10, erit numerus
              <lb/>
            1554 {2/37} cubus ex ſtanno æqualis grauitate propoſito plumbeo Cu
              <lb/>
            bo A, quare latus cubicum numeri 1554 {2/37} quod est 11 {58/100} pro
              <lb/>
            ximum vero, indicabit quæſitum latus.</s>
            <s xml:id="echoid-s558" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s559" xml:space="preserve">Neque diſſimili ratione inuenienda erit magnitudo auri,
              <lb/>
            argenti, cæræ, aut cuiuſcumque ſolidi, grauitatem habentis
              <lb/>
            propoſito corpori ſolido æqualem.</s>
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