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

List of thumbnails

< >
551
551 (531) 		552
552 (532)
553
553 (533) 		554
554 (534)
555
555 (535) 		556
556 (536)
557
557 (537) 		558
558 (538)
559
559 (539) 		560
560 (540)
< >
page |< < (533) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1229" type="section" level="1" n="742">
          <pb o="533" file="0553" n="553" rhead="LIBER VII."/>
        </div>
        <div xml:id="echoid-div1231" type="section" level="1" n="743">
          <head xml:id="echoid-head776" xml:space="preserve">COROLLARIVM.</head>
          <p style="it">
            <s xml:id="echoid-s13810" xml:space="preserve">_E_x proximè dictis manifeſtum eſſe poteſt quadratum ſolidum cuiuſ-
              <lb/>
            cumq; </s>
            <s xml:id="echoid-s13811" xml:space="preserve">figuræ circa diametrum, regula baſi, quadruplum eſſe
              <lb/>
            quadrati ſolidi cuiuſuis eiuſdem portionum, quæ ab ipſa diametro ſe-
              <lb/>
            parantur.</s>
            <s xml:id="echoid-s13812" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1232" type="section" level="1" n="744">
          <head xml:id="echoid-head777" xml:space="preserve">ANNOTATIO.</head>
          <p>
            <s xml:id="echoid-s13813" xml:space="preserve">POſterior pars prop. </s>
            <s xml:id="echoid-s13814" xml:space="preserve">1. </s>
            <s xml:id="echoid-s13815" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s13816" xml:space="preserve">3. </s>
            <s xml:id="echoid-s13817" xml:space="preserve">oſtendetur vt ibi dicta nominum
              <lb/>
            tantum mutatione facta cum Cor. </s>
            <s xml:id="echoid-s13818" xml:space="preserve">ſicut etiam prop. </s>
            <s xml:id="echoid-s13819" xml:space="preserve">2.</s>
            <s xml:id="echoid-s13820" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1233" type="section" level="1" n="745">
          <head xml:id="echoid-head778" xml:space="preserve">THEOREMA XXI. PROPOS. XXI.</head>
          <p>
            <s xml:id="echoid-s13821" xml:space="preserve">ASſumpto ex ſchemate prop. </s>
            <s xml:id="echoid-s13822" xml:space="preserve">3. </s>
            <s xml:id="echoid-s13823" xml:space="preserve">ſemicirculo, vel ſemiel-
              <lb/>
            lipſi, ASFD, circa diametrum, AD, ſimul cum appli-
              <lb/>
            catis, RF, MS, quarum altera ſit regula, & </s>
            <s xml:id="echoid-s13824" xml:space="preserve">parallelogram-
              <lb/>
            mo, NR, oſtendemus in illius figura, quadratum ſolidum
              <lb/>
            FB, ad quadratum ſolidum portionis, ICFS, eſſe vt rectan-
              <lb/>
            gulum, DRA, ad rectangulom ſub, DR, & </s>
            <s xml:id="echoid-s13825" xml:space="preserve">ſub compoſita
              <lb/>
            ex {1/2}. </s>
            <s xml:id="echoid-s13826" xml:space="preserve">RM, & </s>
            <s xml:id="echoid-s13827" xml:space="preserve">ex, MA, vna cum rectangulo ſub, RM, & </s>
            <s xml:id="echoid-s13828" xml:space="preserve">ſub
              <lb/>
            compoſita ex {1/6}. </s>
            <s xml:id="echoid-s13829" xml:space="preserve">RM, & </s>
            <s xml:id="echoid-s13830" xml:space="preserve">{1/2}. </s>
            <s xml:id="echoid-s13831" xml:space="preserve">MA.</s>
            <s xml:id="echoid-s13832" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13833" xml:space="preserve">Producantur enim indefinitè ipſæ applicatæ, SM, FR, verſus,
              <lb/>
            MR, à quibus abſcindantur, CR, HM, ſingillatim ipſi, DA, æqua-
              <lb/>
              <figure xlink:label="fig-0553-01" xlink:href="fig-0553-01a" number="363">
                <image file="0553-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0553-01"/>
              </figure>
            les, vt etiam, GQ, HK, ſin-
              <lb/>
            gillatim pariter æquales ipſi,
              <lb/>
            DR, &</s>
            <s xml:id="echoid-s13834" xml:space="preserve">, YR, LM, æquales
              <lb/>
            ipſi, MA, & </s>
            <s xml:id="echoid-s13835" xml:space="preserve">iungantur, HG,
              <lb/>
            kQ, LY, QL, & </s>
            <s xml:id="echoid-s13836" xml:space="preserve">ſit, TX, quę
              <lb/>
            cumq; </s>
            <s xml:id="echoid-s13837" xml:space="preserve">inter, RF, MS, diame-
              <lb/>
            tro, AD, ſimiliter applicata,
              <lb/>
            quæ indefinitè hincinde ex-
              <lb/>
            tendatur ſecans, NF, in, V, A
              <lb/>
            D, in, T, LY, in, I, LQ, in, O, KQ, in, Z, &</s>
            <s xml:id="echoid-s13838" xml:space="preserve">, HG, in, P. </s>
            <s xml:id="echoid-s13839" xml:space="preserve">Erunt
              <lb/>
            ergo, HQ, KY, LR, parallelogramma, & </s>
            <s xml:id="echoid-s13840" xml:space="preserve">rectangulum, GQR, æ-
              <lb/>
            quabitur rectangulo, DRA, cum autem, GQ, ſit æqualis, DR, &</s>
            <s xml:id="echoid-s13841" xml:space="preserve">,
              <lb/>
            YR, ipſi, MA, erit, QY, æqualis, RM, hoc eſt ipſi, YL, eſt autem,
              <lb/>
            QY, ad, YL, vt, OI, ad, L, ergo, OI, æquatur, IL, ideſt, TM, &</s>
            <s xml:id="echoid-s13842" xml:space="preserve">, Z
              <lb/>
            I, ipſi, RM, ergo, ZO, æquatur, RT, ergo rectangulum, POT, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum