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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/089.jpg"/>
            <subchap1 n="3" type="proposition">
              <p type="head">
                <s id="s.000641">PROPOSITIO III</s>
              </p>
              <subchap2 n="3" type="statement">
                <p type="main">
                  <s id="s.000642">Ducto gravi super plano inclinato, & in­
                    <lb/>
                  de perpendiculariter; perquirere eius mo­
                    <lb/>
                  tum in pari diuturnitate.</s>
                </p>
              </subchap2>
              <subchap2 n="3" type="proof">
                <figure id="id.064.01.089.1.jpg" xlink:href="064/01/089/1.jpg" number="50"/>
                <p type="main">
                  <s id="s.000643">Ducatur grave super AB incli­
                    <lb/>
                  nationis notae, diuturnitate AB
                    <lb/>
                  data, & inde perpendiculariter, per
                    <lb/>
                  BD; venari motum perpendicularem
                    <lb/>
                  in diuturnitate AB.</s>
                </p>
                <p type="main">
                  <s id="s.000644">Producatur DB, donec concurrat cum AC
                    <lb/>
                  orizontaliter ducta in C, et sit BC
                    <lb/>
                  diuturnitas motus per BC
                    <arrow.to.target n="marg160"/>
                  . Fiat
                    <lb/>
                  BE aequalis AB, & CD tertia ad CB, CE
                    <arrow.to.target n="marg161"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000645">
                    <margin.target id="marg160"/>
                  Per 15. pr. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000646">
                    <margin.target id="marg161"/>
                  Per 11. sexti.</s>
                </p>
                <p type="main">
                  <s id="s.000647">Dico BD esse quaesitum.</s>
                </p>
                <p type="main">
                  <s id="s.000648">Quoniam CE est diuturnitas CD
                    <arrow.to.target n="marg162"/>
                  , erit BE
                    <lb/>
                  diuturnitas BD, si motus præcedens fuerit per
                    <lb/>
                  CB; at pariter si per AB
                    <arrow.to.target n="marg163"/>
                  . </s>
                  <s id="s.000649">Ergo diuturni­
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                  tate AB aequali BE pervenit in D. </s>
                  <s id="s.000650">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000651">
                    <margin.target id="marg162"/>
                  Per 7. pr. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000652">
                    <margin.target id="marg163"/>
                  Per pr. huius.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000653">Corollarium</s>
                </p>
                <p type="main">
                  <s id="s.000654">Hinc sequitur ut in praecedenti, quod impetus
                    <lb/>
                  infra B idem est, fuerit ne motus praecedens
                    <lb/>
                  per CD, ac per ABD.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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