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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/033.jpg"/>
            <subchap1 n="13" type="proposition">
              <p type="head">
                <s id="s.000184">PROPOSITIO XIII. PROB. VI.</s>
              </p>
              <subchap2 n="13" type="statement">
                <p type="main">
                  <s id="s.000185">Reperire inclinationem plani, super quo
                    <lb/>
                  grave moveatur tali velocitate quae cum
                    <lb/>
                  alia super diversa inclinatione sit in ra­
                    <lb/>
                  tione data.
                    <figure id="id.064.01.033.1.jpg" xlink:href="064/01/033/1.jpg" number="14"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="14" type="proof">
                <p type="main">
                  <s id="s.000186">Moveatur grave A super recta AB, seu
                    <lb/>
                  perpendiculari, seu inclinata, & data sit
                    <lb/>
                  proportio C ad D.</s>
                </p>
                <p type="main">
                  <s id="s.000187">Oportet reperire aliud planum inclinatum, ita
                    <lb/>
                  ut velocitas gravis moti super AB ad velo­
                    <lb/>
                  citatem alterius moti super illo reperiendo,
                    <lb/>
                  sit ut D ad C.</s>
                </p>
                <p type="main">
                  <s id="s.000188">Producatur BA; & fiat ut C ad D ita BA, ad
                    <lb/>
                  AE; & centro A, intervallo AE describatur
                    <lb/>
                  circulus, secans BF in F; ni secet, problema
                    <lb/>
                  insolubile est; si secat, ducatur AF, quam di­
                    <lb/>
                  co esse planum quaesitum.</s>
                </p>
                <p type="main">
                  <s id="s.000189">Quoniam ut C ad D, ita AB ad AE, seu AF
                    <lb/>
                  per constructionem, erit C velocitas super AF,
                    <lb/>
                  & D super AB
                    <arrow.to.target n="marg32"/>
                  , unde velocitates super ip­
                    <lb/>
                  sis sunt in ratione data. </s>
                  <s id="s.000190">Quod faciendum fuit.</s>
                </p>
                <p type="margin">
                  <s id="s.000191">
                    <margin.target id="marg32"/>
                  Per 12. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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