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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/170.jpg"/>
            <subchap1 n="12" type="proposition">
              <p type="head">
                <s id="s.001264">PROPOSITIO XII. PROBL. VIII.</s>
              </p>
              <subchap2 n="12" type="statement">
                <p type="main">
                  <s id="s.001265">Dato foramine, & latere alterius, reperire fo­
                    <lb/>
                  ramen, e quo aequalis aqua effluat.
                    <figure id="id.064.01.170.1.jpg" xlink:href="064/01/170/1.jpg" number="99"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="12" type="proof">
                <p type="main">
                  <s id="s.001266">Datum sit foramen AB, & latere DC. </s>
                  <s id="s.001267">Oportet describere foramen, a quo effluat
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                  aqua ut ab AB, cuius latus sit CD.</s>
                </p>
                <p type="main">
                  <s id="s.001268">Ductis CE, & DF, orizontalibus; protrahatur B
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                  E, & FE intelligatur foramen, & reperiatur ra­
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                  tio aquarum fluentium ab AB, & ab FE
                    <arrow.to.target n="marg266"/>
                  ,
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                  quae sit ut C ad H; & fiat ut H ad G, ita
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                  FI ad FK, & a K erigitur perpendicularis KL,
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                  & fiat foramen cuius latus DC aequale, &
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                  simile ipsi FL, et sit DM.</s>
                </p>
                <p type="margin">
                  <s id="s.001269">
                    <margin.target id="marg266"/>
                  Per 9. huius.</s>
                </p>
                <p type="main">
                  <s id="s.001270">Dico a foramine DM fluere aquam, ut ab AB.</s>
                </p>
                <p type="main">
                  <s id="s.001271">Quoniam aqua fluens per AB ad fluentem per FE
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                  est ut G ad H per const. item aqua fluens per FL
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                  seu ei aequale DM ad fluentem per eandem F
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                  E est itidem ut G ad H
                    <arrow.to.target n="marg267"/>
                  , aquae fluentes per A
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                  B & per DM sunt inter se aequales
                    <arrow.to.target n="marg268"/>
                  , DM ig. </s>
                  <s id="s.001272">Est foramen quaesitum. </s>
                  <s id="s.001273">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.001274">
                    <margin.target id="marg267"/>
                  Per secundum huius.</s>
                </p>
                <p type="margin">
                  <s id="s.001275">
                    <margin.target id="marg268"/>
                  Per 9. quinti.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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