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

Table of figures

< >
< >
page |< < of 177 > >|
    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/123.jpg"/>
            <subchap1 n="7" type="proposition">
              <p type="head">
                <s id="s.000908">PROPOSITIO VII. PROBL. III.</s>
              </p>
              <subchap2 n="7" type="statement">
                <p type="main">
                  <s id="s.000909">Dato canali perpendiculari, & alio inclinato
                    <lb/>
                  eiusdem longitudinis; reperire proporĀ­
                    <lb/>
                  tiones aquarum.
                    <figure id="id.064.01.123.1.jpg" xlink:href="064/01/123/1.jpg" number="68"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="7" type="proof">
                <p type="main">
                  <s id="s.000910">Sint canalia AC inclinatum, & AB perpenĀ­
                    <lb/>
                  diculare aequalia, & venanda sit proportio
                    <lb/>
                  inter aquas AB, AC.</s>
                </p>
                <p type="main">
                  <s id="s.000911">Ducatur BD perpendicularis ad AC, & fiat
                    <lb/>
                  AE media proportionalis inter AD, AC.</s>
                </p>
                <p type="main">
                  <s id="s.000912">Dico esse aquam AB ad aquam AC ut AD ad
                    <lb/>
                  AE.</s>
                </p>
                <p type="main">
                  <s id="s.000913">Quoniam aqua AD ad aquam AC est ut AD
                    <lb/>
                  ad AE
                    <arrow.to.target n="marg196"/>
                  , sed aqua AD est aequalis aquae AB
                    <arrow.to.target n="marg197"/>
                  ,
                    <lb/>
                  ergo aqua AB ad aquam AC est ut AD ad
                    <lb/>
                  AE
                    <arrow.to.target n="marg198"/>
                  : Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000914">
                    <margin.target id="marg196"/>
                  Per 6. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000915">
                    <margin.target id="marg197"/>
                  Per 3. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000916">
                    <margin.target id="marg198"/>
                  Per 11. quinti.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>