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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/144.jpg"/>
            <subchap1 n="5" type="proposition">
              <p type="head">
                <s id="s.001046">PROPOSITIO V. PROBL. I.</s>
              </p>
              <subchap2 n="5" type="statement">
                <p type="main">
                  <s id="s.001047">Data canalis sectione, reperire sectionem in
                    <lb/>
                  quolibet allo dato puncto.
                    <figure id="id.064.01.144.1.jpg" xlink:href="064/01/144/1.jpg" number="77"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="5" type="proof">
                <p type="main">
                  <s id="s.001048">Data sectione C, & puncto B in canali AB,
                    <lb/>
                  Venanda est sectio puncti B.</s>
                </p>
                <p type="main">
                  <s id="s.001049">Fiat AD media inter AC, AB
                    <arrow.to.target n="marg219"/>
                  , & sectio B ad
                    <lb/>
                  sectionem C ut AC ad AD.</s>
                </p>
                <p type="margin">
                  <s id="s.001050">
                    <margin.target id="marg219"/>
                  Per 20. sexti.</s>
                </p>
                <p type="main">
                  <s id="s.001051">Dico B esse sectionem quaesitam.</s>
                </p>
                <p type="main">
                  <s id="s.001052">Quoniam sectio B ad sectionem C est ut AC ad
                    <lb/>
                  AD per constructionem; erit sectio B ad sectio­
                    <lb/>
                  nem C in subduplicata ratione AC ad AB
                    <arrow.to.target n="marg220"/>
                  ,
                    <lb/>
                  unde sectio B est sectio puncti B
                    <arrow.to.target n="marg221"/>
                  . </s>
                  <s id="s.001053">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.001054">
                    <margin.target id="marg220"/>
                  Per 3. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.001055">
                    <margin.target id="marg221"/>
                  Defini. pr. quarti huius.</s>
                </p>
                <p type="main">
                  <s id="s.001056">Fiet sectio B ad sectionem C ut AC ad AD, si fiat
                    <lb/>
                  altitudo laterum sectionis B ad altitudinem
                    <lb/>
                  laterum sectionis C ut AC ad AD
                    <arrow.to.target n="marg222"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.001057">
                    <margin.target id="marg222"/>
                  Per 2. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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