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

Page concordance

< >
Scan Original
431 411
432 412
433 413
434 414
435 415
436 416
437 417
438 418
439 419
440 420
441 421
442 422
443 423
444 424
445 425
446 426
447 427
448 428
449 429
450 428
451 429
452 432
453 433
454 434
455 435
456 436
457 437
458 438
459 439
460 440
< >
page |< < (415) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div972" type="section" level="1" n="579">
          <pb o="415" file="0435" n="435" rhead="LIBER V."/>
        </div>
        <div xml:id="echoid-div974" type="section" level="1" n="580">
          <head xml:id="echoid-head605" xml:space="preserve">COROLLARIVM VI.</head>
          <p>
            <s xml:id="echoid-s10843" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10844" xml:space="preserve">6. </s>
            <s xml:id="echoid-s10845" xml:space="preserve">expoſita eius figura, & </s>
            <s xml:id="echoid-s10846" xml:space="preserve">vt fiat noſtrum exemplum ea-
              <lb/>
              <figure xlink:label="fig-0435-01" xlink:href="fig-0435-01a" number="295">
                <image file="0435-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0435-01"/>
              </figure>
            dein circa, EM, reuoluta, patet pla-
              <lb/>
            num tranſiens per, SV, æquid ſtans ba-
              <lb/>
            ſi, FG, a cono de, FEG, reſecare conoi-
              <lb/>
            dem, SEV, quæ ad conum, SEV, habet
              <lb/>
            rationem datam, quam nempè habet H
              <lb/>
            R, ad, RL, idq; </s>
            <s xml:id="echoid-s10847" xml:space="preserve">diſcimus efficere quo-
              <lb/>
            cunque ſolido ſimilari exiſtente, FEG,
              <lb/>
            cuius figura genitrix ſit, FEG, à quo .</s>
            <s xml:id="echoid-s10848" xml:space="preserve">ſ.
              <lb/>
            </s>
            <s xml:id="echoid-s10849" xml:space="preserve">ſciemus abſcindere per planũ baſi ęqui-
              <lb/>
            diſtans ſolidum ſibi ſimilare, quod nem-
              <lb/>
            pè erit genitũ ex hyperbola, SEV, quod
              <lb/>
            ad ſolidum ſibi ſimilare genitum ex triã-
              <lb/>
            gulo, SEV, habeat rationem datam,
              <lb/>
            dummodo data ratio ſit quidem maioris
              <lb/>
            in æqualitatis, ſed minor ſexquialtera.</s>
            <s xml:id="echoid-s10850" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div976" type="section" level="1" n="581">
          <head xml:id="echoid-head606" xml:space="preserve">COROLLARIVM VII.</head>
          <p>
            <s xml:id="echoid-s10851" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10852" xml:space="preserve">7. </s>
            <s xml:id="echoid-s10853" xml:space="preserve">expoſita eius figura, dimiſsis tamen rectis, ED, SO
              <lb/>
              <figure xlink:label="fig-0435-02" xlink:href="fig-0435-02a" number="296">
                <image file="0435-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0435-02"/>
              </figure>
            XO, & </s>
            <s xml:id="echoid-s10854" xml:space="preserve">parallelogrammis,
              <lb/>
            GX, GR, eadem reuoluatur cir-
              <lb/>
            ca manentem axim, CV, vt ex
              <lb/>
            triangulo, HCR, fiat conus, H
              <lb/>
            CR, & </s>
            <s xml:id="echoid-s10855" xml:space="preserve">ex hyperbola, SOX, co-
              <lb/>
            nois, SOX, patet ergo conum,
              <lb/>
            HCR, ad conoidem, SOX, eſſe
              <lb/>
            in ratione compoſita ex ea, quã
              <lb/>
            habet quadratum, SX, ad qua-
              <lb/>
            dratum, HR, & </s>
            <s xml:id="echoid-s10856" xml:space="preserve">rectangulum,
              <lb/>
            AVO, ad rectangulum, BVC.</s>
            <s xml:id="echoid-s10857" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum