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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="051/01/171.jpg" pagenum="140"/>
              & baſes, per lumina ſimilia inæqualia, ſunt reciprocè ut lumina;
                <lb/>
              & è contrario, lumina prædictorum vaſorum ſunt reciprocè ut
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              tempora, quibus evacuantur, ut diximus in Poriſmate dictæ
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              Propoſitionis XVI; ſi fiat ut tempus B, ad tempus C, quo per
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              lineare lumen effluit ciſterna A, ita lumen lineare ad aliud;
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              hoc ipſum erit lumen quod quærebatur. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg244"/>
                <emph type="italics"/>
              Dato vaſe
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              & tempore,
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              invenire
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              foramen.
                <emph.end type="italics"/>
              </s>
            </p>
            <table>
              <table.target id="table1"/>
              <row>
                <cell>ciſt.</cell>
                <cell>temp.</cell>
                <cell>temp.</cell>
              </row>
              <row>
                <cell>-----</cell>
                <cell>-----</cell>
                <cell>-----</cell>
              </row>
              <row>
                <cell>A</cell>
                <cell>B</cell>
                <cell>C</cell>
              </row>
            </table>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio XXII. Problema VI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Altitudinem ſcaturiginis dati fontis per tubos
                <lb/>
              fluentis invenire.
                <emph.end type="center"/>
                <lb/>
                <arrow.to.target n="marg245"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg245"/>
                <emph type="italics"/>
                <expan abbr="Altitudinẽ">Altitudinem</expan>
                <lb/>
              Scaturigi­
                <lb/>
              nis fontis in­
                <lb/>
              venire per
                <lb/>
              tubos fluen­
                <lb/>
              tis.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.051.01.171.1.jpg" xlink:href="051/01/171/1.jpg" number="61"/>
            <p type="main">
              <s>FIat notum lumen, per quod fontis a­
                <lb/>
              qua fluat; aut fonti lumen notæ ma­
                <lb/>
              gnitudinis applica, v.g. lineare. </s>
              <s>Ob­
                <lb/>
              ſerva deinde quot aquæ libras fons per
                <lb/>
              lineare
                <expan abbr="lumẽ">lumen</expan>
              effundat ſpatio unius minuti primi, ſeu 60 minuto­
                <lb/>
              rum ſecundorum; ſitque numerus ille librarum B. </s>
              <s>Quoniam
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              igitur per Propoſit. VII. huius capitis, tubus quadrupedalis ſemper
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              plenus per lumen lineare effundit ſpatio tredecim ſecundorum
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              vnam libram, & conſequenter ſpatio 60 ſecundorum, ſeu unius
                <lb/>
              minuti primi, libras 4 8/13: & præterea, quoniam per Poriſma I.
                <lb/>
              Propoſit. VIII. huius capitis, altitudines tuborum, habentium
                <lb/>
              idem ſeu æquale lumen, ſunt in duplicata ratione eius quam ha­
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              bent aquæ quantitates per tubos
                <expan abbr="eodẽ">eodem</expan>
              tempore effusæ: ſi fiat, ut
                <lb/>
              4 8/13 lib. ad numerum librarum B, ita altitudo 4 pedum, ad aliud,
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              nempe ad altitudinem numeri M; & iterum, ut 4 ad M, ita M
                <lb/>
              ad N; dabit numerus N altitudinem ſcaturiginis in pedibus,
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              eò quòd ratio 4 ad N ſit duplicata rationis 4 ad M, ſeu ratic­
                <lb/>
              nis 4 8/13 ad B, nimirum aquæ ad aquam. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio XXIII. Problema VII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Data alicuius tubi, aut vaſis erogatorij altitudine, ac
                <lb/>
              tempore, quo determinatam aquæ quantitatem è ſuo lumine
                <lb/>
              effundit, invenire altitudinem eiusdem autalterius tubi, qui
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              æquali tempore, per æquale lumen, aliam determi­
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              natam aquæ quantitatem effundat.
                <emph.end type="center"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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