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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/040.jpg"/>
            <subchap1 n="19" type="proposition">
              <p type="head">
                <s id="s.000259">PROPOSITIO XIX. PROBL. XI.</s>
              </p>
              <subchap2 n="19" type="statement">
                <p type="main">
                  <s id="s.000260">Dato motus naturali gravis quomodocumque
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                  ad punctum datum, reperire seu in perpen­
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                  diculari, seu in plano quomodolibet incli­
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                  nato punctum, a quo digressum, perveniat
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                  ad idem punctum quo prius, tempore aequali.
                    <figure id="id.064.01.040.1.jpg" xlink:href="064/01/040/1.jpg" number="20"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="20" type="proof">
                <p type="main">
                  <s id="s.000261">Sit AB linea quomodocumque aut perpendicu­
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                  laris, seu planum inclinatum; super qua
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                  grave descendat in B, & data sit quaecunque
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                  linea BC, aut perpendicularis, aut quomodo­
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                  libet inclinata, quae cum AB, coeat in B.</s>
                </p>
                <p type="main">
                  <s id="s.000262">Oportet in BC reperire punctum, a quo grave digres­
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                  sum perveniat in B tempore quo pervenit ab A in idem B.</s>
                </p>
                <p type="main">
                  <s id="s.000263">Ducatur AC orizontalis, & fiat BD tertia pro­
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                  portionalis ad CB AB
                    <arrow.to.target n="marg57"/>
                  , & D est punctum
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                  quaesitum. </s>
                  <s id="s.000264">Quod ut probetur.</s>
                </p>
                <p type="margin">
                  <s id="s.000265">
                    <margin.target id="marg57"/>
                  Per 11. Sexti.</s>
                </p>
                <p type="main">
                  <s id="s.000266">Fiat iterum rectae AC paralella, & aequalis BE, &
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                  ducta EA, secetur recta BF parallela ipsi AD.</s>
                </p>
                <p type="main">
                  <s id="s.000267">Quoniam AF, BD sunt pariter inclinatae, &
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                  aequales
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                  , gravia per ipsas aequali tempore mo­
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                  ventur
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                  , sed per AF, grave movetur tempo­
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                  re quo per AB
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                  , ergo per BD movetur pari­
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                  ter tempore quo per AB
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                  , quod, etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000268">
                    <margin.target id="marg58"/>
                  Per 33. Primi.</s>
                </p>
                <p type="margin">
                  <s id="s.000269">
                    <margin.target id="marg59"/>
                  Per 3. pronun.</s>
                </p>
                <p type="margin">
                  <s id="s.000270">
                    <margin.target id="marg60"/>
                  Per 17 huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000271">
                    <margin.target id="marg61"/>
                  Per 1. pron.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000272">Corollarium</s>
                </p>
                <p type="main">
                  <s id="s.000273">Hinc est quod super plano CB, DB est mensura
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                  diuturnitatis motus in AB.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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