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

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        <body>
          <chap>
            <pb xlink:href="064/01/020.jpg"/>
            <subchap1 n="1" type="proposition">
              <p type="head">
                <s id="s.000070">PROPOSITIO PRIMA.</s>
              </p>
              <subchap2 n="1" type="statement">
                <p type="main">
                  <s id="s.000071">Solidi penduli naturaliter moti vibratio­
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                  nes quantumvis semper minores, sunt
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                  aequidiuturnae.
                    <figure id="id.064.01.020.1.jpg" xlink:href="064/01/020/1.jpg" number="2"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="2" type="proof">
                <p type="main">
                  <s id="s.000072">Sit solidum A pendulum debite applicatum filo
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                  BA, quod ab altera parte elevatum naturaliter,
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                  postea faciat hinc inde vibrationes semper mi­
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                  nores, ita ut prior vibratio sit V.G. per spatium
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                  CD maius, posterior vero per spatium EF minus.</s>
                </p>
                <p type="main">
                  <s id="s.000073">Dico quod dicta vibrationes erunt aequidiuturnae,
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                  ita ut vibratio per spatium CD sit eiusdem du­
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                  rationis, ac vibratio per spatium EF.</s>
                </p>
                <p type="main">
                  <s id="s.000074">Sit aliud solidum G aequipendulum solido A, de­
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                  bite applicatum filo HG, quod elevetur ab una
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                  parte eodem tempore minus quam solidum A
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                  ita ut sint minores vibrationes solidi G, quam,
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                  solidi A, ut sit motus penduli G in initio per
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                  spatium IK aequale spatio EF.</s>
                </p>
                <p type="main">
                  <s id="s.000075">Quoniam spatia EF, & IK, sunt aequalia ex sup­
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                  positione, sunt etiam vibrationes EF, & IK,
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                  aequidiuturnae,
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                  ,sed IK, & CD sunt pariter
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                  aequidiuturnae
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                  , ergo EF, & CD sunt etiam
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                  aequidiuturnae
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                  . </s>
                  <s id="s.000076">Quod fuit probandum.</s>
                </p>
                <p type="margin">
                  <s id="s.000077">
                    <margin.target id="marg1"/>
                  Per primam suppositionem.</s>
                </p>
                <p type="margin">
                  <s id="s.000078">
                    <margin.target id="marg2"/>
                  Per secundam suppositionem.</s>
                </p>
                <p type="margin">
                  <s id="s.000079">
                    <margin.target id="marg3"/>
                  Per pr. pron.</s>
                </p>
              </subchap2>
            </subchap1>
            <subchap1 n="2" type="proposition">
              <p type="head">
                <s id="s.000080">PROPOSITIO II. PROB. PRIMUM</s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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