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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/094.jpg"/>
            <subchap1 n="7" type="proposition">
              <p type="head">
                <s id="s.000706">PROPOSITIO VII.</s>
              </p>
              <subchap2 n="7" type="statement">
                <p type="main">
                  <s id="s.000707">Grave naturaliter motum velocius ad idem
                    <lb/>
                  ducitur punctum duabus lineis, quam una
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                  tantum.</s>
                </p>
              </subchap2>
              <subchap2 n="7" type="proof">
                <p type="main">
                  <figure id="id.064.01.094.1.jpg" xlink:href="064/01/094/1.jpg" number="55"/>
                  <s id="s.000708">Progrediatur grave per AB in B.</s>
                </p>
                <p type="main">
                  <s id="s.000709">Dico quod citius perveniet in B motum per
                    <lb/>
                  A CB.</s>
                </p>
                <p type="main">
                  <s id="s.000710">Protrahatur BC, puta in D; & ab A in BD de­
                    <lb/>
                  mittatur normalis AE.</s>
                </p>
                <p type="main">
                  <s id="s.000711">Quoniam grave per BC pariter movetur, ductum per
                    <lb/>
                  A CB, ac per DB
                    <arrow.to.target n="marg175"/>
                  , & per eamdem CB ve­
                    <lb/>
                  locius fertur digressum a D quam ab E
                    <arrow.to.target n="marg176"/>
                  , per
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                  illam itidem velocius fertur motum per ACB,
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                  quam per EB, sed per A C aeque velociter fer­
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                  tur ac per CE,
                    <arrow.to.target n="marg177"/>
                  ergo per totum ACB velocius
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                  fertur quam per EB; sed aequali tempore fer­
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                  tur per EB ac per AB
                    <arrow.to.target n="marg178"/>
                  ; ergo per ACB ve­
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                  locius fertur quam per AB. </s>
                  <s id="s.000712">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000713">
                    <margin.target id="marg175"/>
                  Per pr. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000714">
                    <margin.target id="marg176"/>
                  Per 2. peti.</s>
                </p>
                <p type="margin">
                  <s id="s.000715">
                    <margin.target id="marg177"/>
                  Per 19. pr. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000716">
                    <margin.target id="marg178"/>
                  Per 19. pr. huius.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000717">Corollarium.</s>
                </p>
                <p type="main">
                  <s id="s.000718">Hinc est, quod si motus fuerit per ACB, im­
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                  petus in B est maior ac si fuisset per AB
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                  secundum proportionem AB ad EB.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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