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

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page |< < (19) of 89 > >|
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            vt 23, ad 2, ita 37, ad 3 {5/23}. </s>
            <s xml:id="echoid-s500" xml:space="preserve">grauitas igitur aquæ, magnitudinem
              <lb/>
            habentis æqualem plumbo, cuius grauitas est 37, erit 3 {5/23}.</s>
            <s xml:id="echoid-s501" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s502" xml:space="preserve">Et quoniam aquæ, magnitudinem habentis æqualem stanno E, cu-
              <lb/>
            ius grauitas est 37, eft grauitas 5, erunt grauitates duarum quan-
              <lb/>
            titatum aquæ 3 {5/23}, & </s>
            <s xml:id="echoid-s503" xml:space="preserve">5, quarum quantitatum prima eſt æqualis
              <lb/>
            magnitudine corpori plumbeo, ſecunda stanneo, quæ ſunt æque gra-
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            uia, vtriuſque enim grauitas ect 37. </s>
            <s xml:id="echoid-s504" xml:space="preserve">Fiat igitur vt 5, ad 3 {5/23}, ita
              <lb/>
            1150, ad alium numerum, qui ſit 740, tanta igitur erit grauitas
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            ſtanni, magnitudinem habentis æqualem propoſito plumbo A, quanta
              <lb/>
            etiam inueniebatur & </s>
            <s xml:id="echoid-s505" xml:space="preserve">ſupra.</s>
            <s xml:id="echoid-s506" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s507" xml:space="preserve">Quod ſi propoſitum ſit cereum corpus aliquod, aut cuiuſ-
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            cunque generis ſolidi, ſiue leuioris quam aqua, ſiue grauio-
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            ris, & </s>
            <s xml:id="echoid-s508" xml:space="preserve">oporteat inuenire grauitatem alicuius ſolidi alterius
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            generis, magnitudine æqualis propoſito corpori ſolido. </s>
            <s xml:id="echoid-s509" xml:space="preserve">Ea-
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            dem ratione qua ſupra inuenietur quæſita ſolidi grauitas, ſed
              <lb/>
            hoc ſolum animaduertendum eſt, quod non eadem ratione
              <lb/>
            inuenitur grauitas aquæ, magnitudinem habentis æqualem
              <lb/>
            propoſito cuiuſcunque generis ſolido, alia enim tenenda eſt
              <lb/>
            ratio ad inueniendam grauitatem prædictæ aquæ, quando
              <lb/>
            propoſitum ſolidum ſit grauius quam aqua, alia vero quando
              <lb/>
            leuius, ſed ſiue ſit leuius, ſiue grauius, de inuentione huiuſ-
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            modi grauitatis, in exemplo propoſitionis octauæ, ſatis eſt ex-
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            plicatum.</s>
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        <div xml:id="echoid-div39" type="section" level="1" n="23">
          <head xml:id="echoid-head26" xml:space="preserve">PROBLEMA VI. PROPOS. XIII.</head>
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            <s xml:id="echoid-s511" xml:space="preserve">PRopoſitis duobus ſolidis corporibus æque graui-
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            bus, data magnitudine vnius, magnitudinem alte-
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            rius inuenire.</s>
            <s xml:id="echoid-s512" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s513" xml:space="preserve">SINT propoſita duo corpora ſolida æque grauia A, B, ſit au-
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            tem vnius, vtpote ipſius A, data magnitudo C, & </s>
            <s xml:id="echoid-s514" xml:space="preserve">oporteat inueni-
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            re magnitudinem ipſius B, Accipiatur aliquod ſolidum corpus D,
              <lb/>
            eiuſdem generis cum ſolido A, & </s>
            <s xml:id="echoid-s515" xml:space="preserve">ſit eius grauitas G, deinde ſolidi
              <lb/>
            corporis quod ſit E, eiuſdem generis cum ſolido B, magnitudine
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            æqualis ipſi D, inueniatur grauitas, quæ ſit H, hoc autem, Proble-
              <lb/>
            ma antecedens docuit, & </s>
            <s xml:id="echoid-s516" xml:space="preserve">fiat vt grauitas H, ad grauitatem G, ita
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            magnitudo C, ad aliam magnitudinem, quæ ſit F. </s>
            <s xml:id="echoid-s517" xml:space="preserve">Quoniam </s>
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