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

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            <p type="main">
              <s>
                <pb xlink:href="018/01/161.jpg" pagenum="147"/>
              plentis (63/71) pedis cubici. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note70"/>
                <emph type="italics"/>
              LXX
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              Si vas in li­
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              quore
                <expan abbr="põde-retur">ponde­
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                retur</expan>
              nunc
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              plenum aë­
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              re, nunc ple­
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              num liquo­
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              re illo, diffe­
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              rentia pon­
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              derum est
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              pondus li­
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              quoris im­
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              plentis capa­
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              citatem va­
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              ſis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>At manente eâdem vaſis mole intelliga­
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              tur aucta materia; & diminuta capacitas, ita
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              vt ſit vaſis pondus in aëre lib. 100 ſeſqui­
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              quartum prioris: erit moles cupri (10/71) pedis
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              cubici, & capacitas (61/71). Quarè aqua æqualis
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              cupro habet pondus lib. (11 19/71): igitur vas intrà
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              aquam plenum aquâ habet pondus lib. (88 52/71)
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              at plenum aëre intrà aquam amittet pondus
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              integri pedis cubici, & ſolùm erit lib. 20.
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              Horum igitur ponderum differentia (68 52/71) æ­
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              qualis eſt ponderi aquæ implentis capacita­
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              tem vaſis, quæ ex conſtitutâ hypotheſi eſt (61/71)
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              pedis cubici. </s>
            </p>
            <p type="main">
              <s>Similiter ſi intrà idem vas admittantur
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              aquæ (10/71), reliquam capacitatem (51/71) impleat
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              aër: moles cupri & aëris occupat in aquâ (61/71)
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              pedis cubici: igitur ex lib. 100 auferuntur
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              lib. (68 52/71), & pondus vaſis in aquâ eſt lib. (31 19/71).
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              At quando totum replebatur aquâ, pondus
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              erat lib. (88 52/71), igitur differentia lib. (57 33/71) eſt
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              grauitas æqualis grauitati (51/71) pedis cubici aquæ,
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              quæ impleret vaſis ſpatium ab aëre occupa­
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              tum, ſi aqua illa in aëre extra aquam ex­
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              penderetur. </s>
            </p>
            <p type="main">
              <s>Quemadmodum igitur ex eiuſdem vaſis </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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