Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/160.jpg"/>
            <subchap1 n="2" type="proposition">
              <p type="head">
                <s id="s.001164">PROPOSITIO II.</s>
              </p>
              <subchap2 n="2" type="statement">
                <p type="main">
                  <s id="s.001165">Si foramina sint orizontalia, eiusdem altitudi­
                    <lb/>
                  nis, quantitates aquarum decursarum sunt
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                  inter se ut foramina.
                    <figure id="id.064.01.160.1.jpg" xlink:href="064/01/160/1.jpg" number="89"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="2" type="proof">
                <p type="main">
                  <s id="s.001166">In vase AB dentur foramina orizontalia aeque
                    <lb/>
                  alta C minus, D vero maius.</s>
                </p>
                <p type="main">
                  <s id="s.001167">Dico aquam decursam per C, quae sit E, se habere ad aquam
                    <lb/>
                  decursam per D, quae sit F, ut foramen C ad foramen D.</s>
                </p>
                <p type="main">
                  <s id="s.001168">Longitudinum C, & D commensurabilium,
                    <arrow.to.target n="marg242"/>
                    <lb/>
                  sit G communis mensura, & secentur lon­
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                  gitudines C, D in partes, quae sint aequales ipsi
                    <lb/>
                  G, quibus divisis a perpendicularibus, producan­
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                  tur tot foramina, quot sunt dictae partes.</s>
                </p>
                <p type="margin">
                  <s id="s.001169">
                    <margin.target id="marg242"/>
                  Per pr. pet.</s>
                </p>
                <p type="main">
                  <s id="s.001170">Quoniam huiusmodi foramina erunt inter se
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                  aequalia
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                  . Ex eis effluent quantitates aquae
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                  aequales
                    <arrow.to.target n="marg244"/>
                  . </s>
                  <s id="s.001171">Quot igitur sunt foramina in C, D,
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                  tot sunt quantitates aquarum in E, F. </s>
                  <s id="s.001172">Igitur
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                  sunt quatuor quantitates C, D, E, F, quarum
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                  prima, C, est ad E, 2., ut D, 3., ad F, 4.; & per­
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                  mutando erit C ad D ut E ad F
                    <arrow.to.target n="marg245"/>
                  . </s>
                  <s id="s.001173">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.001174">
                    <margin.target id="marg243"/>
                  Per 36. primi.</s>
                </p>
                <p type="margin">
                  <s id="s.001175">
                    <margin.target id="marg244"/>
                  Per primum huius.</s>
                </p>
                <p type="margin">
                  <s id="s.001176">
                    <margin.target id="marg245"/>
                  Per 16. quinti.</s>
                </p>
                <p type="main">
                  <s id="s.001177">Dices, quod fieri potest quod longitudines C, D,
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                  non sint commensurabiles, nec proinde G sit eo­
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                  rum communis mensura: sed hic non sumus in
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                  Mathematicis, sed in physicis, ubi non habetur
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                  ratio insensibilium.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>