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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/045.jpg"/>
            <subchap1 n="24" type="proposition">
              <p type="head">
                <s id="s.000312">PROPOSITIO XXIV</s>
              </p>
              <subchap2 n="24" type="statement">
                <p type="main">
                  <s id="s.000313">Datis planis, & perpendiculari ad eadem li­
                    <lb/>
                  nea orizontali egressis, quae coeant infra in
                    <lb/>
                  eodem puncto, gravia super ipsis mota
                    <lb/>
                  procedunt ea ratione, ut sit eadem propor­
                    <lb/>
                  tion inter diuturnitates, quae inter longitu­
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                  dines planorum, & dictam perpendicularem.
                    <figure id="id.064.01.045.1.jpg" xlink:href="064/01/045/1.jpg" number="25"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="25" type="proof">
                <p type="main">
                  <s id="s.000314">Data sit linea orizontalis AB, in qua ini­
                    <lb/>
                  tium sumant plana declinantia AC, DC,
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                  nec non perpendicularis BC coeuntia in puncto C.</s>
                </p>
                <p type="main">
                  <s id="s.000315">Dico quod diuturnitates gravium super ipsis mo­
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                  torum, sunt ut AC, DC, BC.</s>
                </p>
                <p type="main">
                  <s id="s.000316">Ducatur CE paralella ipsi AB, & a puncto A du­
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                  cantur paralellae ipsis CB, CD, & sint AE, AF.</s>
                </p>
                <p type="main">
                  <s id="s.000317">Quoniam diuturnitates super planis AF, AC,
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                  sunt ut AF, AC
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                  , & super planis eisdem, &
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                  perpendiculari AE, sunt ut AF, seu AC ad
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                  AE
                    <arrow.to.target n="marg75"/>
                  , & AE, AF sunt paralellae ipsis CD,
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                  CB, & eisdem aequales,
                    <arrow.to.target n="marg76"/>
                  , sequitur quod etiam
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                  super AC, DC, BC diuturnitates sunt iuxta
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                  proportiones longitudinum
                    <arrow.to.target n="marg77"/>
                  , Quod probandum fuit.</s>
                </p>
                <p type="margin">
                  <s id="s.000318">
                    <margin.target id="marg74"/>
                  Per 23. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000319">
                    <margin.target id="marg75"/>
                  Per 15. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000320">
                    <margin.target id="marg76"/>
                  Per 33. prim.</s>
                </p>
                <p type="margin">
                  <s id="s.000321">
                    <margin.target id="marg77"/>
                  Per 3. pron.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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