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

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              <s>
                <pb xlink:href="051/01/157.jpg" pagenum="126"/>
                <arrow.to.target n="fig31"/>
                <lb/>
              dùm progreſſionem numerorumim parium ab uni­
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              tate numeratorum; ſi aqua in primo tempore de­
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              terminato, v.g. in primo minuto deſcendit à C in
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              E, hoc eſt, ab A in B; in ſecundo minuto de­
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              ſcendet ab E ad D, ac proinde in fine quarti pal­
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              mi mota erit duplo velociùs, quàm in fine primi
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              palmi; Ergo velocitas motus aquæ per tubum CD
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              ad velocitatem aquæ per tubum AB, habet ſub­
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              duplicatam rationem altitudinum. </s>
              <s>Eadem eſt
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              ratio in alijs inæqualibus altitudinibus, quamcun­
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              que habeant inter ſe proportionem. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg229"/>
                <emph type="italics"/>
              Proportio
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              velocitatis
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              motus aquæ
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              deſcenden­
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              tis per tubos:
                <lb/>
                <expan abbr="inæqualiũ">inæqualium</expan>
                <lb/>
              foraminum.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.051.01.157.1.jpg" xlink:href="051/01/157/1.jpg" number="53"/>
            <p type="main">
              <s>
                <emph type="center"/>
              Poriſma.
                <emph.end type="center"/>
                <lb/>
              </s>
            </p>
            <p type="main">
              <s>TUbi ergo duplicatam habent rationem illius, quam habent
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              velocitates motus deſcendentis, & effluentis per ipſos aquæ. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio XI. Theorema III.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Cauſam aſſignare, cur aquæ fluentes per tubos æqua­
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              lium luminum, ſed inæqualium altitudinum, habeantra­
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              tionem ſubduplicatam altitudinum tuborum.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg230"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg230"/>
                <emph type="italics"/>
              Proportio­
                <lb/>
              nis prædicta
                <lb/>
              cauſa.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>QUod aſſeruimus Propoſit. VIII. huius capitis, demonſtran­
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              ;dum hîc eſt, ut fidem ibi obligatam ſolvamus. </s>
            </p>
            <p type="main">
              <s>Ratio igitur adſignati hîc & ibi Phænomeni eſt, quòd flu­
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              xus aquæ per foramen, ſeu quantitas aquæ effluentis, pendeti
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              velocitate aquæ eiusdem deſcendentis per tubum, per dicta
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              Propoſit. IX. Corollario. I. </s>
              <s>Velocitas autem illa eſt ſubduplicata
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              altitudinum, per dicta Propoſit. X; ergo & quantitas aquæ efflu­
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              entis ex tubis inæqualium altitudinum ſubduplicata erit
                <expan abbr="tuborũ">tuborum</expan>
              . </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio XII. Theorema IV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Tempora quibus æqualis aquæ quantitas è tubis æqua­
                <lb/>
              lium luminum, ſed inæqualium altitudinum effluit, ha­
                <lb/>
              bent ſubduplicatam rationem tuborum.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg231"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg231"/>
                <emph type="italics"/>
              Proportio
                <lb/>
              temporum
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              quibus a­
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              qua effluit è
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              tubis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SItut antea tubus AB vnius, & tubus CD quatuor pedum in
                <lb/>
              altitudine, ſed æqualium luminum, ſive ſemper, ſive non </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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