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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/034.jpg"/>
            <subchap1 n="14" type="proposition">
              <p type="head">
                <s id="s.000192">PROPOSITIO XIV. PROB. VII.</s>
              </p>
              <subchap2 n="14" type="statement">
                <p type="main">
                  <s id="s.000193">Data linea perpendiculari, per quam grave
                    <lb/>
                  descendat, cui annectatur linea, seu pla­
                    <lb/>
                  num declinans; in declinante reperire
                    <lb/>
                  punctum, quo grave perveniat eo tempo­
                    <lb/>
                  re, quo pertransiverit perpendicularem.
                    <figure id="id.064.01.034.1.jpg" xlink:href="064/01/034/1.jpg" number="15"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="15" type="proof">
                <p type="main">
                  <s id="s.000194">Sit triangulum ABC orthogonaliter erectum
                    <lb/>
                  super plano orizontali BC, cuius latus AB
                    <lb/>
                  intelligatur linea perpendicularis, per quam
                    <lb/>
                  grave descendat, & latus AC planum incli­
                    <lb/>
                  natum.</s>
                </p>
                <p type="main">
                  <s id="s.000195">Oportet in plano AC reperire punctum quo gra­
                    <lb/>
                  ve perveniat eodem tempore, quo in B.</s>
                </p>
                <p type="main">
                  <s id="s.000196">Fiat ut AC ad AB, ita AB ad tertiam AD
                    <arrow.to.target n="marg33"/>
                  ,
                    <lb/>
                  & D erit punctum quaesitum.</s>
                </p>
                <p type="margin">
                  <s id="s.000197">
                    <margin.target id="marg33"/>
                  Per 11. Sexti.</s>
                </p>
                <p type="main">
                  <s id="s.000198">Quoniam velocitas super AD ad velocitatem in
                    <lb/>
                  AB est ut AB ad AC
                    <arrow.to.target n="marg34"/>
                  , & proinde ut AD
                    <lb/>
                  ad AB per const, quae velocitates eadem con­
                    <lb/>
                  tinuo duplicata proportione augentur
                    <arrow.to.target n="marg35"/>
                  , gra­
                    <lb/>
                  via in eis moventur tempore aequali, quia quo­
                    <lb/>
                  tiscunque spatia sunt ut velocitates, aequali
                    <lb/>
                  peraguntur tempore, quod, etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000199">
                    <margin.target id="marg34"/>
                  Per 11. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000200">
                    <margin.target id="marg35"/>
                  Per 3. & 7. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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