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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/032.jpg"/>
            <subchap1 n="12" type="proposition">
              <p type="head">
                <s id="s.000175">PROPOSITIO XII.</s>
              </p>
              <subchap2 n="12" type="statement">
                <p type="main">
                  <s id="s.000176">Gravia descendunt super plana diverse in­
                    <lb/>
                  clinata tali proportione, ut si velocitas ad
                    <lb/>
                  velocitatem reciproca longitudinibus pla­
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                  norum ductorum ab eodem puncto, ad
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                  idem planum orizontale.
                    <figure id="id.064.01.032.1.jpg" xlink:href="064/01/032/1.jpg" number="13"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="13" type="proof">
                <p type="main">
                  <s id="s.000177">Sint F, D plana inclinata ducta ad idem pla­
                    <lb/>
                  num orizontale.</s>
                </p>
                <p type="main">
                  <s id="s.000178">Dico esse ut planum D ad planum F, ita veloci­
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                  tatem gravis ducti super F, ad velocitatem
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                  eiusdem ducti super D.</s>
                </p>
                <p type="main">
                  <s id="s.000179">Ducatur perpendicularis E, & sint B, A, C ve­
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                  locitates gravium latorum super perpendicu­
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                  lari, & super planis F, D.</s>
                </p>
                <p type="main">
                  <s id="s.000180">Quoniam est A ad B, ut E ad F, item, & B ad
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                  C, ut D, ad E
                    <arrow.to.target n="marg30"/>
                  , erit A ad C ut D ad F
                    <arrow.to.target n="marg31"/>
                  , sci­
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                  licet velocitas gravis super F ad velocitatem
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                  gravis super D, ut lon­
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                  gitudo plani D ad longitudinem plani F. </s>
                  <s id="s.000181">Quod fuit probandum.</s>
                </p>
                <p type="margin">
                  <s id="s.000182">
                    <margin.target id="marg30"/>
                  Per 11. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000183">
                    <margin.target id="marg31"/>
                  Per 13. Quinti.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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