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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/037.jpg"/>
            <subchap1 n="16" type="proposition">
              <p type="head">
                <s id="s.000224">PROPOSITIO XVI. PROBL. VIII.</s>
              </p>
              <subchap2 n="16" type="statement">
                <p type="main">
                  <s id="s.000225">Data linea perpendiculari, & plano decli­
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                  nante; reperire in perpendiculari produ­
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                  cta punctum, quo perveniat grave eo tem­
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                  pore, quo pertransit planum inclinatum.
                    <figure id="id.064.01.037.1.jpg" xlink:href="064/01/037/1.jpg" number="17"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="17" type="proof">
                <p type="main">
                  <s id="s.000226">Data sit perpendicularis AB, cui connexum
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                  planum inclinatum AD.</s>
                </p>
                <p type="main">
                  <s id="s.000227">Oportet in AB producta reperire punctum, quo
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                  perveniat grave eo tempore, quo pervenit in
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                  puncto D.</s>
                </p>
                <p type="main">
                  <s id="s.000228">In puncto D perpendicularis erigatur ad AD, &
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                  protrahatur usquequo coeat cum AB produ­
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                  cta in E, & E est punctum quaesitum.</s>
                </p>
                <p type="main">
                  <s id="s.000229">Quoniam triangula, ADE, AEC sint aequian­
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                  gula, cum anguli ADE, AEC sint aequales,
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                  nempe recti, & BAD communis
                    <arrow.to.target n="marg44"/>
                  , sunt etiam
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                  similia
                    <arrow.to.target n="marg45"/>
                  , ergo ut AC ad AE, ita AE ad AD
                    <arrow.to.target n="marg46"/>
                  ,
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                  unde tempora per AD, & AE sunt aequalia
                    <arrow.to.target n="marg47"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000230">
                    <margin.target id="marg44"/>
                  Per 32. prim.</s>
                </p>
                <p type="margin">
                  <s id="s.000231">
                    <margin.target id="marg45"/>
                  Per 4. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000232">
                    <margin.target id="marg46"/>
                  Per 4. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000233">
                    <margin.target id="marg47"/>
                  Per 14 huius.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000234">Corollarium</s>
                </p>
                <p type="main">
                  <s id="s.000235">Hinc est quod super plano AC erit AD men­
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                  sura diuturnitatis motus peracti super AE.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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