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

Table of figures

< >
[Figure 51]
[Figure 52]
[Figure 53]
[Figure 54]
[Figure 55]
[Figure 56]
[Figure 57]
[Figure 58]
[Figure 59]
[Figure 60]
[Figure 61]
[Figure 62]
[Figure 63]
[Figure 64]
[Figure 65]
[Figure 66]
[Figure 67]
[Figure 68]
[Figure 69]
[Figure 70]
[Figure 71]
[Figure 72]
[Figure 73]
[Figure 74]
[Figure 75]
[Figure 76]
[Figure 77]
[Figure 78]
[Figure 79]
[Figure 80]
< >
page |< < of 177 > >|
    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/148.jpg"/>
            <subchap1 n="8" type="proposition">
              <p type="head">
                <s id="s.001079">PROPOSITIO VIII.</s>
              </p>
              <subchap2 n="8" type="statement">
                <p type="main">
                  <s id="s.001080">In canalibus perpendiculari, & inclinato; se­
                    <lb/>
                  ctiones terminatae a linea orizontali sunt
                    <lb/>
                  aequales.
                    <figure id="id.064.01.148.1.jpg" xlink:href="064/01/148/1.jpg" number="80"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="8" type="proof">
                <p type="main">
                  <s id="s.001081">Dentur canales AB perpendicularis, & AC
                    <lb/>
                  inclinatus, quorum sectiones CB sint ori­
                    <lb/>
                  zontales.</s>
                </p>
                <p type="main">
                  <s id="s.001082">Dico eas esse aequales inter se.</s>
                </p>
                <p type="main">
                  <s id="s.001083">Ducatur normalis BD ad AC.</s>
                </p>
                <p type="main">
                  <s id="s.001084">Quoniam AB est media inter AD, AC
                    <arrow.to.target n="marg227"/>
                  , AD ad
                    <lb/>
                  AC habet duplicatam rationem AD ad AB
                    <arrow.to.target n="marg228"/>
                  .
                    <lb/>
                  Unde sectio D ad sectionem C est ut AB ad AD
                    <arrow.to.target n="marg229"/>
                  . </s>
                  <s id="s.001085">Et eadem sectio D ad sectionem B est pariter
                    <lb/>
                  ut AB ad AD
                    <arrow.to.target n="marg230"/>
                  . Ergo sectiones C, B ha
                    <lb/>
                  bentes eamdem rationem ad sectionem D, sunt
                    <lb/>
                  aequales inter se
                    <arrow.to.target n="marg231"/>
                  . </s>
                  <s id="s.001086">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.001087">
                    <margin.target id="marg227"/>
                  Per 10. def. quin.</s>
                </p>
                <p type="margin">
                  <s id="s.001088">
                    <margin.target id="marg228"/>
                  Per 3. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.001089">
                    <margin.target id="marg229"/>
                  Per 7. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.001090">
                    <margin.target id="marg230"/>
                  Per 9. quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.001091">
                    <margin.target id="marg231"/>
                  Per 3. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>