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

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    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1 n="27" type="proposition">
              <subchap2 n="28" type="proof">
                <pb xlink:href="064/01/053.jpg"/>
                <figure id="id.064.01.053.1.jpg" xlink:href="064/01/053/1.jpg" number="30"/>
                <p type="main">
                  <s id="s.000367">Ex his itidem patet quod si in circulo dentur
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                  plura, plana v.g. FA, AC, CB, & data sit
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                  diuturnitas super diametro orizonti perpen­
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                  diculari, dabitur diuturnitas cuiusvis dicto­
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                  rum FA, AC, CT, & omnium simul.7*</s>
                </p>
                <p type="main">
                  <s id="s.000368">In super ex his facile cognosces esse breviorem,
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                  diuturnitatem per AC, CB, simul, quam per
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                  AB;8* nam ducta AE perpendiculari ad BC
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                  productam in D ad orizontalem AD, diutur­
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                  nitas motus in AC, super DB mensuratur per
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                  EC
                    <arrow.to.target n="marg86"/>
                  , ergo addita CB, quae est eiusdem diutur­
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                  nitatis, fuerit ne motus per AC an per DC
                    <arrow.to.target n="marg87"/>
                  ,
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                  tota EB erit mensura diuturnitatis in ACB,
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                  sed AB mensurat diuturnitatem ipsius AB
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                  respectu eiusdem DB
                    <arrow.to.target n="marg88"/>
                  , quae est maior quam
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                  EB
                    <arrow.to.target n="marg89"/>
                  , maior ergo est diuturnitas in AB quam
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                  in ACB.</s>
                </p>
                <p type="margin">
                  <s id="s.000369">
                    <margin.target id="marg86"/>
                  Per 7. post.</s>
                </p>
                <p type="margin">
                  <s id="s.000370">
                    <margin.target id="marg87"/>
                  ** Est pars secunda quartae tertij.</s>
                </p>
                <p type="margin">
                  <s id="s.000371">
                    <margin.target id="marg88"/>
                  *** Est Tertia tertij.</s>
                </p>
                <p type="margin">
                  <s id="s.000372">
                    <margin.target id="marg89"/>
                  **** Est corol. quartae tertij.</s>
                </p>
                <p type="main">
                  <s id="s.000373">Eadem prorsus ratione probabitur citius grave
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                  descendere per FA, AC, CB, simul, quam per
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                  planum ductum ab F in B.9*</s>
                </p>
                <p type="main">
                  <s id="s.000374">In figura propositionis 27. si facto H quadrato
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                  diuturnitatis G, fiat ML aequalis C, cui ad­</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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