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

Table of figures

< >
< >
page |< < (414) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div969" type="section" level="1" n="577">
          <pb o="414" file="0434" n="434" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div970" type="section" level="1" n="578">
          <head xml:id="echoid-head603" xml:space="preserve">COROLLARIVM IV.</head>
          <p>
            <s xml:id="echoid-s10814" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10815" xml:space="preserve">4. </s>
            <s xml:id="echoid-s10816" xml:space="preserve">iterum aſſumpta figura Coroll. </s>
            <s xml:id="echoid-s10817" xml:space="preserve">2. </s>
            <s xml:id="echoid-s10818" xml:space="preserve">patebit cylindrũ,
              <lb/>
              <figure xlink:label="fig-0434-01" xlink:href="fig-0434-01a" number="293">
                <image file="0434-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0434-01"/>
              </figure>
            SF, ad fruſtum hyperbolicum, HD
              <lb/>
            FG, ab eo dempto cylindro, HQ, eſſe
              <lb/>
            vt rectangulum, OEN, ad rectangulum
              <lb/>
            ſub compoſita ex {1/3}. </s>
            <s xml:id="echoid-s10819" xml:space="preserve">EM, integra, MN,
              <lb/>
            & </s>
            <s xml:id="echoid-s10820" xml:space="preserve">{1/2}. </s>
            <s xml:id="echoid-s10821" xml:space="preserve">NO. </s>
            <s xml:id="echoid-s10822" xml:space="preserve">Conum verò, DMF, ad idẽ
              <lb/>
            fruſtum, dempto cylindro, HQ, eſſe vt
              <lb/>
            rectangulum, OEN, ad rectangulum ſub
              <lb/>
            compoſita ex, EX, & </s>
            <s xml:id="echoid-s10823" xml:space="preserve">dupla, NM: </s>
            <s xml:id="echoid-s10824" xml:space="preserve">& </s>
            <s xml:id="echoid-s10825" xml:space="preserve">ſic
              <lb/>
            eſſe quæcunq; </s>
            <s xml:id="echoid-s10826" xml:space="preserve">ſolida ſimilaria genita ex
              <lb/>
            eiſdem figuris .</s>
            <s xml:id="echoid-s10827" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s10828" xml:space="preserve">parallelogrammo, SF,
              <lb/>
            fruſto hyperbolæ, HDFG, dempto ſo-
              <lb/>
            lido ſimilari genito ex, HQ, & </s>
            <s xml:id="echoid-s10829" xml:space="preserve">triangu-
              <lb/>
            lo, DMF, iuxta communem regulam,
              <lb/>
            DF.</s>
            <s xml:id="echoid-s10830" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div972" type="section" level="1" n="579">
          <head xml:id="echoid-head604" xml:space="preserve">COROLLARIV M V.</head>
          <p>
            <s xml:id="echoid-s10831" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10832" xml:space="preserve">5. </s>
            <s xml:id="echoid-s10833" xml:space="preserve">aſſumpta iterum figura Prop. </s>
            <s xml:id="echoid-s10834" xml:space="preserve">2. </s>
            <s xml:id="echoid-s10835" xml:space="preserve">dimiſsis rectis, CP,
              <lb/>
            RQ, Lk, & </s>
            <s xml:id="echoid-s10836" xml:space="preserve">triangulo, DM, &</s>
            <s xml:id="echoid-s10837" xml:space="preserve">, vt fiat ſolitum exemplum, ea
              <lb/>
              <figure xlink:label="fig-0434-02" xlink:href="fig-0434-02a" number="294">
                <image file="0434-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0434-02"/>
              </figure>
            reuoluta circa axem, NE, vt ex, A
              <lb/>
            F, fiat cylindrus, AF, ex hyperbola,
              <lb/>
            DNF, conois, DNF, quæ ſolida
              <lb/>
            ſint ſecta plano, SZ, baſi, DF, ęqui-
              <lb/>
            diſtante, patet cylindrum, AF, dẽ-
              <lb/>
            pta conoide, DNF, ad cylindrum,
              <lb/>
            SF, dempto fruſto conoidis, DHG
              <lb/>
            F, eſſe vt parallelepipedum ſub cõ-
              <lb/>
            poſita ex, XE, EN, & </s>
            <s xml:id="echoid-s10838" xml:space="preserve">ſub quadrato,
              <lb/>
            NE, ad parallelepipedum ſub com-
              <lb/>
            poſita ex, XE, EN, NM, & </s>
            <s xml:id="echoid-s10839" xml:space="preserve">ſub qua-
              <lb/>
            drato, ME; </s>
            <s xml:id="echoid-s10840" xml:space="preserve">& </s>
            <s xml:id="echoid-s10841" xml:space="preserve">ſic eſſe quodlibet
              <lb/>
            ſolidum ſimilare genitum ex, AF,
              <lb/>
            dempto ſolido ſimilari genito ex
              <lb/>
            hyperbola, DNF, ad ſibi ſimilare
              <lb/>
            genitum ex, SF, dempto ſolido ſimilari genito ex fruſto hyperbo-
              <lb/>
            læ, DHFG, iuxta communem regulam, DF.</s>
            <s xml:id="echoid-s10842" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum