Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

List of thumbnails

< >
471
471 (451) 		472
472 (452)
473
473 (453) 		474
474 (454)
475
475 (455) 		476
476 (456)
477
477 (457) 		478
478 (458)
479
479 (459) 		480
480 (460)
< >
page |< < (459) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1074" type="section" level="1" n="644">
          <p>
            <s xml:id="echoid-s11740" xml:space="preserve">
              <pb o="459" file="0479" n="479" rhead="LIBER VI."/>
              <figure xlink:label="fig-0479-01" xlink:href="fig-0479-01a" number="326">
                <image file="0479-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0479-01"/>
              </figure>
            rationes componunt rationem rectanguli, HAM, cum {1/3}. </s>
            <s xml:id="echoid-s11741" xml:space="preserve">quadrati,
              <lb/>
            HM, ad rectangulum, MAB, cum {1/3}. </s>
            <s xml:id="echoid-s11742" xml:space="preserve">quadrati, MB. </s>
            <s xml:id="echoid-s11743" xml:space="preserve">Et ſic dein-
              <lb/>
            ceps oſtendemus tertium ſpatium ad quartum eſſe, vt rectangulũ,
              <lb/>
            MAB, cum {1/3}. </s>
            <s xml:id="echoid-s11744" xml:space="preserve">quadrati, MB, ad rectangulum ſub, BA, & </s>
            <s xml:id="echoid-s11745" xml:space="preserve">radio
              <lb/>
            circuli vnitate maioris, vna cum {1/3}. </s>
            <s xml:id="echoid-s11746" xml:space="preserve">quadrati differentiæ horum
              <lb/>
            radiorum, quæ differentia ſemper eſt æqualis radio primi circuli,
              <lb/>
            quod oſtendere opus erat.</s>
            <s xml:id="echoid-s11747" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1076" type="section" level="1" n="645">
          <head xml:id="echoid-head675" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s11748" xml:space="preserve">EXponatur triangulus, ETI, habens rectum angulum ad, T,
              <lb/>
            cuius latus, ET, ſit æquale radio primi circuli, &</s>
            <s xml:id="echoid-s11749" xml:space="preserve">, TI, eiuſdẽ
              <lb/>
            circumferentiæ, & </s>
            <s xml:id="echoid-s11750" xml:space="preserve">per, EI, tranſeat parabolæ curua quam tangat,
              <lb/>
            TE, in, E, vertice, ſecet verò, TI, in, I, eiuſdem axi æquidiſtans,
              <lb/>
            deinde indefinitè producta, ET, verſus, T, in ea ſumantur tot par-
              <lb/>
              <note position="right" xlink:label="note-0479-01" xlink:href="note-0479-01a" xml:space="preserve">20. l. 4.</note>
            tes æquales ipſi, ET, quot radij primi circuli ſunt in radio, AB, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum