Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/194.jpg" pagenum="180"/>
              quàm 14 ad 11, minorem verò quàm 284
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              ad 223: igitur vt 14 ad 11 ita 1/6 ad (11/14) maio­
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              rem vero; & vt 284 ad 223, ita 1/6 ad (223/1704) mi­
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              norem vero. </s>
              <s>Inuentæ quantitates (11/14) & (223/1704) re­
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              ducantur ad eandem denominationem, &
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              ſunt (78744.18732/143136), differentia autem eſt 12 parti­
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              cularum; & ſumpto medio Arithmetico ſo­
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              liditas cylindruli dati eſt (18738/143136), hoc eſt (3123/23856). Si
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              igitur medulla ſambucea, cuius ſoliditas eſt
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              dig. (3123/23856) habet pondus gran. 3, medullą,
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              cuius ſoliditas eſſet dig. (40 5/27), haberet pondus
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              gran. 920. Ignis itaque leuitas in aëre ſi tan­
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              ta fuerit, quanta eſt medullæ ſambuceæ gra­
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              uitas, erit gran.——920, quorum 5425 eſt
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              grauitas aquæ ſecundum molem æqualis. </s>
              <s>
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              Ergo ſi aquæ grauitas in aëre 5425 dat ignis
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              in aëre leuitatem——920, aquæ grauitas 5 1/3
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              dat ignis leuitatem——(4906/5425); quæ ſi addatur
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              leuitati aëris in aqua——5 1/3, erit leuitas ignis
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              in aquâ ſaltem——(6 258/1085). Et id quidem, Gul­
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              dine, tuà methodo: quanquam ægerrimè
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              mihi perſuadeo tantulam leuitatem eſſe igni
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              tribuendam. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              </s>
              <s> Vtinam non adeò vorax ignis eſſet,
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              & pateretur ſe vaſculo concludi: veſtram̨
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              hanc litem momento dirimerem librà, quam
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              aliquando excogitaui ad examinandam cor-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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