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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/067.jpg"/>
            <subchap1 n="4" type="proposition">
              <p type="head">
                <s id="s.000454">PROPOSITIO IV.</s>
              </p>
              <subchap2 n="4" type="statement">
                <p type="main">
                  <s id="s.000455">In motu naturali impetus successive acquisi­
                    <lb/>
                  ti sunt ut tempora transacta.</s>
                </p>
              </subchap2>
              <figure id="id.064.01.067.1.jpg" xlink:href="064/01/067/1.jpg" number="37"/>
              <subchap2 n="4" type="proof">
                <p type="main">
                  <s id="s.000456">Dato gravi moto naturali motu per AC, tem­
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                  pore ac, & per AB, tempore ab.</s>
                </p>
                <p type="main">
                  <s id="s.000457">Dico impetum seu velocitatem in B ad impetum
                    <lb/>
                  in C esse ut ab ad ac. </s>
                  <s id="s.000458">Concipiantur tempora ab, ac tanquam lineae re­
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                  ctae metientes tempora ab, ac. </s>
                  <s id="s.000459">Fiat BD dupla ipsius AB mensura impetus in B
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                  tempore ab, & CE dupla ipsius AC mensura
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                  impetus in C tempore ac
                    <arrow.to.target n="marg114"/>
                  , & BF media inter
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                  BD, CE
                    <arrow.to.target n="marg115"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000460">
                    <margin.target id="marg114"/>
                  k Per 25. Quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.000461">
                    <margin.target id="marg115"/>
                  l Per 22. Quinti & 43. pr.</s>
                </p>
                <p type="main">
                  <s id="s.000462">Quoniam AB, AC sunt in duplicata ratione
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                  temporum ab, ac
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                  , BD, CE sunt pariter in
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                  duplicata ratione eorundem temporum ab, ac
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                  ,
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                  sed BD, CE sunt etiam in duplicitata ratione
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                  spatiorum BD, BF per constructionem, ergo BD, BF
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                  sunt ut tempora ab, ac
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                  . Sed BD mensura
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                  impetus in B tempore ab, est spatium per
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                  quod percurrit mobile virtute solius impetus
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                  acquisiti in B tempore ab per constructionem, erit igitur </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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