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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/085.jpg"/>
            <subchap1 n="1" type="proposition">
              <p type="head">
                <s id="s.000596">PROPOSITIO PRIMA.</s>
              </p>
              <subchap2 n="1" type="statement">
                <p type="main">
                  <s id="s.000597">Si grave perpendiculariter ductum perse­
                    <lb/>
                  veret in motu super plano declinante; pro­
                    <lb/>
                  dibit eadem velocitate, ac si motus praece­
                    <lb/>
                  dens fuisset cum eadem declinatione, ini­
                    <lb/>
                  tio ducto ab eodem plano Orizontali.
                    <figure id="id.064.01.085.1.jpg" xlink:href="064/01/085/1.jpg" number="48"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="1" type="proof">
                <p type="main">
                  <s id="s.000598">Ducatur grave perpendiculariter per AB, &
                    <lb/>
                  perseveret in motu super BE declinante.</s>
                </p>
                <p type="main">
                  <s id="s.000599">Dico, quod fertur per BE eadem velocitate ac si
                    <lb/>
                  cepisset moveri in D; quod sit ad libellam ipsius A.</s>
                </p>
                <p type="main">
                  <s id="s.000600">Quoniam in B sortitum est eundem impetum
                    <lb/>
                  ductum per AB, ac si latum fuisset per DB
                    <arrow.to.target n="marg153"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000601">
                    <margin.target id="marg153"/>
                  Per 12. secundi huius.</s>
                </p>
                <p type="main">
                  <s id="s.000602">Ergo per BE ducitur ab eadem virtute seu vi,
                    <lb/>
                  ac si motus initium fuisset in D, quippe ubique
                    <lb/>
                  ducitur a gravitate, & ab impetu in B, & pro­
                    <lb/>
                  inde fertur eadem velocitate. </s>
                  <s id="s.000603">Quod etc.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000604">Corollarium primum.</s>
                </p>
                <p type="main">
                  <s id="s.000605">Si initium motus fuisset per lineam declinantem,
                    <lb/>
                  & demum per perpendicularem, seu declinantem
                    <lb/>
                  diversa inclinatione, idem probabitur eadem ratione.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000606">Corollarium II.</s>
                </p>
                <p type="main">
                  <s id="s.000607">Hinc sequitur, quod impetus in E est idem si
                    <lb/>
                  motus fuerit per ABE, ac si fuisset per DE.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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