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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/071.jpg"/>
            <subchap1 n="7" type="proposition">
              <p type="head">
                <s id="s.000490">PROPOSITIO VII.</s>
              </p>
              <subchap2 n="7" type="statement">
                <p type="main">
                  <s id="s.000491">In quolibet puncto motus reperire spatium,
                    <lb/>
                  per quod mobile sit aptum duci sine ope
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                  gravitatis in dato tempore.</s>
                </p>
              </subchap2>
              <subchap2 n="7" type="proof">
                <figure id="id.064.01.071.1.jpg" xlink:href="064/01/071/1.jpg" number="40"/>
                <p type="main">
                  <s id="s.000492">Ducatur grave tempore ab a puncto B per
                    <lb/>
                  spatium aequale rectae BD sine ope gravi­
                    <lb/>
                  tatis ut in praecedenti.</s>
                </p>
                <p type="main">
                  <s id="s.000493">Oportet reperire in alio puncto ipsius motus, puta
                    <lb/>
                  C, spatium aequale ei, per quod ducetur sine ope
                    <lb/>
                  gravitatis eodem tempore ab.</s>
                </p>
                <p type="main">
                  <s id="s.000494">Sit ac tempus, per quod ducitur grave naturali­
                    <lb/>
                  ter motum ab A in C, & fiat CE dupla ad AC, &
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                  secetur CE in F ea ratione, ut partes CF, FE
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                  sint partibus ab, bc proportionales
                    <arrow.to.target n="marg126"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000495">
                    <margin.target id="marg126"/>
                  Per 11. Quinti.</s>
                </p>
                <p type="main">
                  <s id="s.000496">Dico CF spatium aequari illi, per quod ducetur­
                    <lb/>
                  grave digressum a C tempore ab.</s>
                </p>
                <p type="main">
                  <s id="s.000497">Quonniam CF ad FE est ut ab ad bc per constructionem,
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                  erit ut CE ad CF ita ac ad ab
                    <arrow.to.target n="marg127"/>
                  , & permutando
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                  ut CE ad ac, ita CF ad ab
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                  at spatium aequa­
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                  le CE perficitur tempore ac
                    <arrow.to.target n="marg129"/>
                  motu aequabili
                    <arrow.to.target n="marg130"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000498">
                    <margin.target id="marg127"/>
                  Per 4. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000499">
                    <margin.target id="marg128"/>
                  Per 3. pr. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000500">
                    <margin.target id="marg129"/>
                  Per 10. def. Quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.000501">
                    <margin.target id="marg130"/>
                  Per 5. huius.</s>
                </p>
                <p type="main">
                  <s id="s.000502">Ergo spatium aequale CF conficitur tempore ab, quod etc.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000503">Corollarium</s>
                </p>
                <p type="main">
                  <s id="s.000504">Huic sequitur quod eodem tempore, puta ab,
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                  grave ducitur per BD, & per CF.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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