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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/121.jpg"/>
            <subchap1 n="5" type="proposition">
              <p type="head">
                <s id="s.000887">PROPOSITIO V.</s>
              </p>
              <subchap2 n="5" type="statement">
                <p type="main">
                  <s id="s.000888">In canali secto quomodolibet; aquae quantita­
                    <lb/>
                  tes in eius portionibus correspondent diu­
                    <lb/>
                  turnitatibus.
                    <figure id="id.064.01.121.1.jpg" xlink:href="064/01/121/1.jpg" number="65"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="5" type="proof">
                <p type="main">
                  <s id="s.000889">
                    <figure id="id.064.01.121.2.jpg" xlink:href="064/01/121/2.jpg" number="66"/>
                  Sit canale AC sectum in B quomodolibet, &
                    <lb/>
                  sit DE diuturnitas aquae donec perveniat in
                    <lb/>
                  B, & DF diuturnitas donec perveniat
                    <lb/>
                  in C, & proinde EF diuturnitas aquae
                    <lb/>
                  ductae a B in C.</s>
                </p>
                <p type="main">
                  <s id="s.000890">Dico aquam AB ad aquam BC esse ut diuturni­
                    <lb/>
                  tas DE ad diuturnitatem EF.</s>
                </p>
                <p type="main">
                  <s id="s.000891">Quoniam aqua AB est ea, quae transit per A diu­
                    <lb/>
                  turnitate DE, & AC ea quae transit per idem
                    <lb/>
                  A diuturnitate DF per constructionem; aqua
                    <lb/>
                  AB ad aquam AC est ut diuturnitas DE ad
                    <lb/>
                  diuturnitatem DF
                    <arrow.to.target n="marg191"/>
                  ; igitur dividendo, aqua
                    <lb/>
                  AB ad aquam BC est ut diuturnitas DE ad
                    <lb/>
                  diuturnitatem EF
                    <arrow.to.target n="marg192"/>
                  . </s>
                  <s id="s.000892">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000893">
                    <margin.target id="marg191"/>
                  Per pet. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000894">
                    <margin.target id="marg192"/>
                  Per 19. quinti.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000895">Corollarium</s>
                </p>
                <p type="main">
                  <s id="s.000896">Si Diuturnitates DE, EF sint aequales, aqua
                    <lb/>
                  AB aequatur aquae BC.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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