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="018/01/166.jpg" pagenum="152"/>
              eidem globo ferreo in aquâ poſito æquipon­
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              derat ſacoma ferreum in oleo vnc. (41 51/149). Sa­
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              comatum igitur 42 & (41 51/149) differentia (98/149) da­
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              bit grauitatem aquæ in oleo comparatam̨
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              cum grauitate ferri; ita vt ferri grauitas iņ
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              oleo ad aquæ grauitatem in oleo ſit vt 42
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              ad (98/149), quæ eſt planè eadem Ratio ſuperiùs in­
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              dicata 37 1/4 ad (7/12), hoc eſt 63 6/7 ad 1. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note72"/>
                <emph type="italics"/>
              LXXII
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              Ratio duo­
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              rum graui­
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              um in vno
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              medio, vt ba­
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              beatur, de­
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              bet æquipon­
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              dium eſſe in
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              eodem me­
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              dio.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Ex his, quæ carere videntur omni diffi­
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              cultate, & ſatis manifeſta ſunt, infeto 4 il­
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              la grana, quæ tribuis ponderi aëris commu­
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              nis Æolipilam implentis, nullam aëris gra­
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              uitatem indicare per ſe, & immediatè; non
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                <expan abbr="aẽris">aeris</expan>
              in aëre communi, quia in eo, Vt dice­
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              bam, non grauitat; non aëris communis in
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              aëre ignito, vt paulò ante tibi permittebam,
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              quia ſacoma ſeu æquipondium, quo vſus es
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              ad grauitatem explorandam, non erat pari­
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              ter in aëre ignito: id quod fieri oportuiſſet. </s>
              <s>
                <lb/>
              Nam ſi vas aliquod aquâ plenum intrà a­
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              quam ponderes, & ſacoma ſit pariter iņ
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              aquâ; iterum autem ſacomate intrà aquam
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              exiſtente idem vas aëre plenum in aquâ ex­
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              pendas, vtique ponderum differentia noņ
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              dabit aquæ pondus in aëre. </s>
              <s>Ergo pariter
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              cum vas aëre communi plenum expenderis
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              in aëre communi, & iterum in eodem
                <expan abbr="aẽre">aere</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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