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

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            ſiat vt 7, ad 95, ita 420, ad alium numerum, qui ſit 5700, is igi-
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            tur indicabit quanta erit grauitas argenti viui, magnitudine æqua-
              <lb/>
            lis propoſitæ aquæ A.</s>
            <s xml:id="echoid-s616" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s617" xml:space="preserve">Inueniemus etiam aliter, & </s>
            <s xml:id="echoid-s618" xml:space="preserve">expeditius grauitatem
              <lb/>
            aquæ, magnitudinem habentis æqualem propoſito ar-
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            gento viuo A.</s>
            <s xml:id="echoid-s619" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s620" xml:space="preserve">Accipiatur enim aliquod corpus aureum, cui ſuperinducatur ce-
              <lb/>
            rea tunica tenuiſſima, ne fiat argento viuo leuius, neue ab eodĕ diſſol-
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            uatur, deinde aquæ, magnitudinem babentis æqualem ipſi corpori au
              <lb/>
            reo inueniatur grauitas, vt dictum est in propoſ. </s>
            <s xml:id="echoid-s621" xml:space="preserve">8. </s>
            <s xml:id="echoid-s622" xml:space="preserve">exemplo, quæ ſit 7,
              <lb/>
            ſimiliter & </s>
            <s xml:id="echoid-s623" xml:space="preserve">argenti viui, vt aquæ, magnitudinem babentis æqualem
              <lb/>
            eidem corpori aureo, inueniatur grauitas, quæ ſit 95, & </s>
            <s xml:id="echoid-s624" xml:space="preserve">fiat vt 95, ad
              <lb/>
            7, ita 5700, ad 420, grauitas igitur aquæ, magnitudinem babentis æ-
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            qualem argento viuo A, erit 420.</s>
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            <s xml:id="echoid-s626" xml:space="preserve">Contra. </s>
            <s xml:id="echoid-s627" xml:space="preserve">ſit propoſitum aliquod corpus aqueum, cuius grauitas
              <lb/>
            420, & </s>
            <s xml:id="echoid-s628" xml:space="preserve">oporteat inuenire, quanta erit grauitas argenti viui, magni-
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            tudine æqualis propoſitæ aquæ A. </s>
            <s xml:id="echoid-s629" xml:space="preserve">Superinducta corpori aureo cerea
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            tunica, vt ſupra, & </s>
            <s xml:id="echoid-s630" xml:space="preserve">inuentis grauitatibus 7, & </s>
            <s xml:id="echoid-s631" xml:space="preserve">95, aquæ nimirum, & </s>
            <s xml:id="echoid-s632" xml:space="preserve">
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            argenti viui, magnitudine æqualium prædicto aureo corpori, fiat vt
              <lb/>
            7, ad 95, ita 420, ad 5700. </s>
            <s xml:id="echoid-s633" xml:space="preserve">grauitas igitur argenti viui, magnitudine
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            æqualis propoſito corpori aqueo A, erit 5700.</s>
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          </p>
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            <s xml:id="echoid-s635" xml:space="preserve">Qua ratione inuenienda ſit grauitas argenti viui, ma-
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            gnitudinem habentis propoſito cuicunque corpori ſoli-
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            do æqualem.</s>
            <s xml:id="echoid-s636" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s637" xml:space="preserve">Sit propoſitum aliquod corpus ſolidum, vtpote plumbeum A, cuius
              <lb/>
            grauitas 161, & </s>
            <s xml:id="echoid-s638" xml:space="preserve">oporteat inuenire quanta erit grauitas argenti viui
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            magnitudine æqualis propoſito plumbo A. </s>
            <s xml:id="echoid-s639" xml:space="preserve">inueniatur grauitas aquæ
              <lb/>
            magnitudinem babentis æqualem plumbo A, vt in exemplo propoſi-
              <lb/>
            tionis 8, dictum eſt, quæ ſit 14, & </s>
            <s xml:id="echoid-s640" xml:space="preserve">inuenta grauitate argenti viui, ma-
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            gnitudine æqualis ipſi aquæ, ea erit de qua quæritur, ſit enim inuen
              <lb/>
            ta argenti viui grauitas 190. </s>
            <s xml:id="echoid-s641" xml:space="preserve">Q
              <unsure/>
            uoniã igitur argentum viuum, cuius
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            grauitas est 190, magnitudine æquatur aquæ, cuius grauitas eſt 14,
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            ipſique aquæ æquatur magnitudine plumbum A, erit argentum vi-
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            uum, cuius grauitas 190, magnitudine propoſito plumbo A, æquale;
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            </s>
            <s xml:id="echoid-s642" xml:space="preserve">quare inuenta est grauitas argenti viui, magnitudine æqualis propo-
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            ſito plumbo A, quod facere oportebat.</s>
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          </p>
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            <s xml:id="echoid-s644" xml:space="preserve">Quomodo inuenienda ſit grauitas cuiuſcunque </s>
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