Ceva, Giovanni, Geometria motus, 1692

List of thumbnails

< >
1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
8
9
9
10
10
< >
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="14" xlink:href="022/01/020.jpg"/>
            <table>
              <table.target id="table1"/>
              <row>
                <cell>
                  <emph type="italics"/>
                A
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                E
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                C
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                F
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                I.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                K
                  <emph.end type="italics"/>
                </cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                D
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                G
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                B
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                H
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
            </table>
            <p type="main">
              <s id="s.000163">
                <emph type="center"/>
              PROP. IV. THEOR. IV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000164">TEmpora, quibus abſoluuntur duo motus componun­
                <lb/>
              tur ex ratione ſpatiorum, & ex reciproca æquatri­
                <lb/>
              cum. </s>
              <s id="s.000165">Cum enim ſpatia
                <expan abbr="componãtur">componantur</expan>
              ex ratione temporum,
                <lb/>
                <arrow.to.target n="marg33"/>
                <lb/>
              & ex ea velocitatum æquatricum, ſequitur per prædictum
                <lb/>
              Lemma, quòd tempora nectantur ex rationibus ſpatiorum,
                <lb/>
              & reciproca æquatricum. </s>
            </p>
            <p type="margin">
              <s id="s.000166">
                <margin.target id="marg33"/>
                <emph type="italics"/>
              Pr.
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000167">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000168">
                <emph type="italics"/>
              Manifeſtum eſt ſpatia, vel æquatrices velocitates, ſi ſint
                <lb/>
              æquales, eſſe tempora in reliqua ratione reciproca æquatri­
                <lb/>
              cum, vel ſpatiorum non reciproca.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000169">
                <emph type="center"/>
              PROP. V. THEOR. V.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000170">ÆQuatrices velocitates componuntur ex rationibus
                <lb/>
              ſpatiorum, & reciproca temporum. </s>
            </p>
            <p type="main">
              <s id="s.000171">Cum ſpatia componantur ex rationibus temporum, &
                <lb/>
              velocitatum æquatricum, manifeſtum eſt ex eodem Lem­
                <lb/>
              mate, velocitates ipſas necti ex rationibus ſpatiorum, &
                <lb/>
              reciproca temporum. </s>
            </p>
            <p type="main">
              <s id="s.000172">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000173">
                <emph type="italics"/>
              Deducitur, æquatrices velocitates eſſe vt tempora reciprocè
                <lb/>
              ſumpta, vel vt ſpatia, ſi altera ratio fuerit æqualitatis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000174">
                <emph type="center"/>
              D. </s>
              <s id="s.000175">E F. VII.
                <emph.end type="center"/>
                <lb/>
                <arrow.to.target n="marg34"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000176">
                <margin.target id="marg34"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              Fig.
                <emph.end type="italics"/>
              2.</s>
            </p>
            <p type="main">
              <s id="s.000177">SI in geneſibus homogeneis AEC, GFK exiſtente AB
                <lb/>
              ad BC ſicut GI ad IK, habeat AE ad BD eandem ra-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>