Ceva, Giovanni, Geometria motus, 1692

List of thumbnails

< >
31
31 		32
32
33
33 		34
34
35
35 		36
36
37
37 		38
38
39
39 		40
40
< >
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000177">
                <pb pagenum="15" xlink:href="022/01/021.jpg"/>
              tionem, ac GF ad IH, motus, qui fiunt iuxta illas geneſes,
                <lb/>
              vocentur inter ſe ſimiles, & ipſæ geneſes dicentur ſimilium
                <lb/>
              motuum; quod verò attinet ad rectas AE, BD, GF, IH apel­
                <lb/>
              labimus applicatas ad homologa puncta A, B, G, I propor­
                <lb/>
              tionales. </s>
            </p>
            <p type="main">
              <s id="s.000178">
                <emph type="center"/>
              PROP. VI. THEOR. VI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000179">SI in imaginibus temporum homogeneis, applicatæ v­
                <lb/>
              nius fuerint ad homologa puncta, proportionales ap­
                <lb/>
              plicatis alterius imaginis, motus, quorum ſunt ipſæ imagi­
                <lb/>
              nes, ſimiles erunt. </s>
            </p>
            <p type="main">
              <s id="s.000180">Imagines temporum ſint &MLABC, &ONGIK, quæ </s>
            </p>
            <p type="main">
              <s id="s.000181">
                <arrow.to.target n="marg35"/>
                <lb/>
              ſint homogeneæ, & cum GI ad IK ſit vt AB ad BC, habeat
                <lb/>
              quoque AL ad BM eandem rationem, ac GN ad IO. Di­
                <lb/>
              co, motus, quorum ſunt illæ imagines temporum inter ſe ſi­
                <lb/>
              miles eſſe. </s>
            </p>
            <p type="margin">
              <s id="s.000182">
                <margin.target id="marg35"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              fig.
                <emph.end type="italics"/>
              3.</s>
            </p>
            <p type="main">
              <s id="s.000183">Sint apud ipſas imagines eorundem motuum geneſes,
                <lb/>
              ſcilicet EAC, FGK interſe homogeneæ. </s>
              <s id="s.000184">Exiſtente AL ad
                <lb/>
              BM, vt GN ad IO, erit conuertendo BM ad AL vt IO ad
                <lb/>
              GN; ſed vt BM ad AL ita ob geneſim EA ad DB, & vt IO
                <lb/>
                <arrow.to.target n="marg36"/>
                <lb/>
              ad GN, ſic FG ad HI. ergo EA ad DB eſt vt FG ad HI, erat
                <lb/>
              autem vt AB ad BC ita etiam GI ad IK, ergo motus ſunt
                <lb/>
                <arrow.to.target n="marg37"/>
                <lb/>
              ſimiles, & ipſæ imagines ſimilium motuum. </s>
            </p>
            <p type="margin">
              <s id="s.000185">
                <margin.target id="marg36"/>
                <emph type="italics"/>
              Def.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000186">
                <margin.target id="marg37"/>
                <emph type="italics"/>
              Def.
                <emph.end type="italics"/>
              7.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000187">
                <emph type="center"/>
              PROP. VII. THEOR. VII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000188">SI in imaginibus velocitatum vnius, applicate fuerint ex
                <lb/>
                <arrow.to.target n="marg38"/>
                <lb/>
              punctis homologè ſumptis proportionales applicatis
                <lb/>
              alterius imaginis, motus iuxta ipſas imagines erunt ſimi­
                <lb/>
              les, ideoque ipſæ imagines ſimilium motuum. </s>
            </p>
            <p type="margin">
              <s id="s.000189">
                <margin.target id="marg38"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              fig.
                <emph.end type="italics"/>
              4.</s>
            </p>
            <p type="main">
              <s id="s.000190">Velocitatum imagines ſint ABCD, NPRT, ſitque AB
                <lb/>
              ad EF in eadem ratione, in qua NP ad TR; Dico exiſtenti­
                <lb/>
              bus etiam BF ad FC, vt PQ ad QR eſſe propoſitas imagi­
                <lb/>
              nes ſimilium motuum. </s>
              <s id="s.000191">Intelligantur eorundem motuum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum