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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/023.jpg"/>
            <subchap1 n="4" type="proposition">
              <p type="head">
                <s id="s.000103">PROPOSITIO QUARTA. PROB. II.</s>
              </p>
              <subchap2 n="4" type="statement">
                <p type="main">
                  <s id="s.000104">Data diuturnitate gravis descendentis a data
                    <lb/>
                  altitudine, constituere altitudinem, a qua
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                  idem grave cadat in data alia diuturnitate.
                    <figure id="id.064.01.023.1.jpg" xlink:href="064/01/023/1.jpg" number="5"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="5" type="proof">
                <p type="main">
                  <s id="s.000105">Sit A diuturnitas gravis B, dum cadit in C, &
                    <lb/>
                  data sit diuturnitas quaecumque D.</s>
                </p>
                <p type="main">
                  <s id="s.000106">Constituenda est alia altitudo, a qua grave de­
                    <lb/>
                  scendat iuxta diuturnitatem D.</s>
                </p>
                <p type="main">
                  <s id="s.000107">Fiat I, tertia proportionalis ad AD,
                    <arrow.to.target n="marg14"/>
                  & ut I ad A
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                  fiat altitudo GH ad altitudinem datam BC,
                    <arrow.to.target n="marg15"/>
                    <lb/>
                  Dico GH esse altitudinem quaesitam.</s>
                </p>
                <p type="margin">
                  <s id="s.000108">
                    <margin.target id="marg14"/>
                  Per 11. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000109">
                    <margin.target id="marg15"/>
                  Per 12. sexti.</s>
                </p>
                <p type="main">
                  <s id="s.000110">Quoniam BC, & GH sunt in duplicata ratione
                    <lb/>
                  datarum diuturnitatum A, D, per constructio­
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                  nem; per ipsas gravia B, & G cadent in diu­
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                  turnitatibus A, & D datis
                    <arrow.to.target n="marg16"/>
                  , unde reperta est
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                  altitudo GH quaesita. </s>
                  <s id="s.000111">Quod fuit faciendum.</s>
                </p>
                <p type="margin">
                  <s id="s.000112">
                    <margin.target id="marg16"/>
                  Per 3. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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