Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

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            <p type="main">
              <s>
                <pb xlink:href="051/01/158.jpg" pagenum="127"/>
              per pleni; fluatque ex tubo AB vna libra aquæ ſpatio duorum
                <lb/>
              minutorum. </s>
              <s>Dico, eandem aquam effluere ex tubo CD ſpa­
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              tio vnius minuti,
                <expan abbr="eſſeq́ue">eſſeque</expan>
              propterea tempus fluxus aquæ ex tubo
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              CD, ad tempus fluxus aquæ ex tubo AB, ut 1 ad 2, quæ eſt ratio
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              ſubduplicata tuborum. </s>
              <s>Ratio ex dictis patet. </s>
              <s>Quoniam enim
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              velocitates effluxûs aquæ ex æquali lumine habent ſubduplica­
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              tam rationem tuborum, ut demonſtravimus Propoſit. X, fluet in
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              dimidio temporis tantum ex tubo CD, quantum in toto tem­
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              pore ex tubo AB, poſita æqualitate luminum; ac proinde in
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              toto tempore duplum effluet ex tubo CD. </s>
              <s>Eadem eſt ratio in
                <lb/>
              alijs tuborum æqualium luminum proportionibus. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Poriſma.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>TUbi ergo quilibet æqualium luminum, ſed inæqualium alti­</s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg232"/>
                <lb/>
              tudinum, habent rationem duplicatam temporum, quibus
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              effluit æqualis aquæ quantitas. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg232"/>
                <emph type="italics"/>
              Proportio
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              tuborum ad
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              tempora flu­
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              xus aquæ.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio XIII. Theorema V.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Si tubi, ſive ſemper pleni, ſive non ſemper pleni, ſint
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              eiuſdem altitudinis, ſed inæqualium foraminum, eſt eadem ra­
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              tio aquæ ad aquam, quæ foraminis ad foramen,
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              phyſicè ſeu ad ſenſum.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>ESt Merſenni in hydraulicis Phænomenis Propoſit. IV. quem
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                <arrow.to.target n="marg233"/>
                <lb/>
              ſequitur P. Andreas Tacquet in ſuis hydraulicis Manuſcri­
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              ptis cap. 4. Phænomen. 7. </s>
              <s>Ratio eſt, quòd licet ex maiori lu­
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              mine ſeu foramine fluat eodem tempore maior aquea columna
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              quàm ex minori, tantòque maior exillo quàm ex hoc, quantò
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              fuerit maius lumen ſeu
                <expan abbr="foramẽ">foramen</expan>
              illud quàm hoc, quoad aream, per
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              dicta Propoſit. 4. huius eapitis; tamen vtraque columna fluit
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              ex æquali altitudine tuborum æquâ velocitate phyſicè & ad
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              ſenſum. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg233"/>
                <emph type="italics"/>
              Proportio a­
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              quæ ad
                <expan abbr="a-quã">a­
                  <lb/>
                quam</expan>
              eadem
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              quæ forami­
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              num in tu­
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              bu æquè al­
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              tis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Dixi phyſicè & ad ſenſum, quia licet gravia eiusdem ſpe­
                <lb/>
              ciei, ſed inæqualis molis ac ponderis, ab eodem ad eundem </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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