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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="051/01/163.jpg" pagenum="132"/>
                <arrow.to.target n="fig32"/>
                <lb/>
              tubus FQ, per foramen KN, quantò
                <lb/>
              maius eſt lumen KN, quàm
                <expan abbr="lumẽ">lumen</expan>
              EC,
                <lb/>
              nempe duodecies plùs. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg238"/>
                <emph type="italics"/>
              Proportio
                <lb/>
              temporum
                <lb/>
              effluxus a­
                <lb/>
              quæ ad fora­
                <lb/>
              mina tubo­
                <lb/>
              rum.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.051.01.163.1.jpg" xlink:href="051/01/163/1.jpg" number="55"/>
            <p type="main">
              <s>Ad hoc oſtendendum, intelligan­
                <lb/>
              tur ſuper luminibus EC, KN,
                <expan abbr="tanquã">tanquam</expan>
                <lb/>
              ſuper baſibus, cylindri DC, LN,
                <expan abbr="ejuſdẽ">ejuſdem</expan>
                <lb/>
              altitudinis cum cylindricis tubis AB,
                <expan abbr="Fq.">Fque</expan>
              </s>
              <s>
                <lb/>
              Patet ex dictis Propoſit. XIII. præce­
                <lb/>
              dente, Porismate 2, hos duos tubos
                <lb/>
              DC, LN, per lumina EC, KN, eodem
                <lb/>
              ſeu æquali tempore exhauriri. </s>
              <s>Iam ſic. </s>
              <s>
                <lb/>
              Per Propoſitionem XIII, huius capi­
                <lb/>
              tis, aqua quæ effluit ex tubo FQ, per
                <lb/>
              lumen KN, eſt ad aquam, quæ eodem
                <lb/>
              ſeu æquali tempore effluit ex tubo AB,
                <lb/>
              per foramen EC, ut foramen KN ad foramen EC;
                <lb/>
              hoc eſt, eodem ſeu æquali tempore, quo ex lumine EC effluit
                <lb/>
              una columna aquea DC, effluunt ex lumine KN duodecim
                <lb/>
              columnæ aqueæ DC: Ergo dum ex lumine KN effluxit tota
                <lb/>
              aqua tubi FQ, effluxit ex lumine EC ſolùm duodecima
                <lb/>
              pars aquæ tubi AB; ac proinde tantò plùs temporis requiritur,
                <lb/>
              ut evacuetur tubus AB per lumen EC, quàm ut evacuetur
                <lb/>
              tubus FQ per lumen KN, quantò maius eſt lumen KN quàm
                <lb/>
              lumen EC. </s>
              <s>Ergo tempora ſunt reciprocè ut lumina. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Poriſma.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>SEquitur hinc, etiam converſam eſſe veram, nempe lumina,
                <lb/>
              per quæ evacuantur tubi prædicti, eſſeinter ſe ut reciprocè
                <lb/>
              tempora, quibus evacuantur: Vnde data ratione
                <expan abbr="temporũ">temporum</expan>
              , da­
                <lb/>
              bitur ratio
                <expan abbr="luminũ">luminum</expan>
              ; ſicut è contrario, data ratione
                <expan abbr="luminũ">luminum</expan>
              , datur
                <lb/>
              ratio temporum ſeu
                <expan abbr="durationũ">durationum</expan>
              , quibus evacuantur prædicti tubi. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio XVII. Problema I.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Datis altitudine & foramine tubi ſemper pleni, invenire
                <lb/>
              quantitatem aquæ quam dato tempore effundat; vel, datis
                <expan abbr="ijſdẽ">ijſdem</expan>
              ,
                <lb/>
              invenire magnitudinem ciſternæ quæ dato tempore
                <lb/>
              repleatur.
                <emph.end type="center"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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