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

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        <div xml:id="echoid-div631" type="section" level="1" n="366">
          <pb o="265" file="0285" n="285" rhead="LIBER III."/>
        </div>
        <div xml:id="echoid-div633" type="section" level="1" n="367">
          <head xml:id="echoid-head384" xml:space="preserve">COROLLARIVM VIII.</head>
          <p>
            <s xml:id="echoid-s6594" xml:space="preserve">IN Propof. </s>
            <s xml:id="echoid-s6595" xml:space="preserve">octaua diſcimus à data ſphæra, vel ſphæroide, vel ſo-
              <lb/>
            lido quocunque genito ex circulo, vel ellipſi, iuxta regulam, quę
              <lb/>
            ſit vna ex ordinatim applicatis, abſcindere portionem, quæ ad ſoli-
              <lb/>
            dum ſimilare ſibi genitum ex triangulo in eadem baſi, & </s>
            <s xml:id="echoid-s6596" xml:space="preserve">circa eun-
              <lb/>
            dem axim, vel diametrum cum portione conſtituto, habeat datam
              <lb/>
            rationem, quam oportet eſſe maiorem ſexquialtera; </s>
            <s xml:id="echoid-s6597" xml:space="preserve">quæ omniaibi
              <lb/>
            clarè patent, & </s>
            <s xml:id="echoid-s6598" xml:space="preserve">ideo figuram non appono.</s>
            <s xml:id="echoid-s6599" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div634" type="section" level="1" n="368">
          <head xml:id="echoid-head385" xml:space="preserve">COROLL. IX. SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s6600" xml:space="preserve">IN Propof. </s>
            <s xml:id="echoid-s6601" xml:space="preserve">nona patet ratio, quam
              <lb/>
              <figure xlink:label="fig-0285-01" xlink:href="fig-0285-01a" number="179">
                <image file="0285-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0285-01"/>
              </figure>
            habet ſolidum ſimilare genitum ex
              <lb/>
            circulo, vel ellipſi, iuxta regulam pri-
              <lb/>
            mum axim, vel diametrum, ad ſolidum
              <lb/>
            ſimilare genitum ex eodem, iuxta ſe-
              <lb/>
            cundum axim, vel diametrum tamquam
              <lb/>
            regulam, ſiue hæc ſolida ſint ſphæra, vel
              <lb/>
            ſphæroides, vel tantum ſolida ſimilaria,
              <lb/>
            quæ in his appoſitis figuris clarè patent,
              <lb/>
            in quarum vna conſpici poteſt ſphęroi-
              <lb/>
            des prolatum, in altera oblongum, præ-
              <lb/>
            dicta autem ratio eſt ea, quam habet
              <lb/>
            prima axis, vel diameter ad ſecundam
              <lb/>
            axim, vel diametrum: </s>
            <s xml:id="echoid-s6602" xml:space="preserve">quę etiam pro re-
              <lb/>
            liquis ſolidis ad inuicem ſimilaribus ma-
              <lb/>
            nifeſta ſunt.</s>
            <s xml:id="echoid-s6603" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div636" type="section" level="1" n="369">
          <head xml:id="echoid-head386" xml:space="preserve">SECTIO POSTERIOR.</head>
          <p>
            <s xml:id="echoid-s6604" xml:space="preserve">IN Corollario autem eiuſdem Theorematis colligimus eſſe notam
              <lb/>
            rationem omnium quadratorum duarum portionum circuli, vel
              <lb/>
            ellipſis abſeiſlarum per lineas, quarum vna ſit parallela primo, alte-
              <lb/>
            ra ſecundo axi, vel diametro, quales ſint in appoſitis figuris portio-
              <lb/>
            nes, BMS, VPX, vnde etiam nota eritratio ſolidorum ſimilarium,
              <lb/>
            BMS, VPX, exipſis genitorum, vnumiuxta regulam, BS, alte-
              <lb/>
            rum iuxta regulam, VX, ſiue ſint hæc portiones ſphæræ, velſphæ-
              <lb/>
            roidis, ſiue ſolida ſimilaria genita ex portionibus, BMS, VFX.</s>
            <s xml:id="echoid-s6605" xml:space="preserve"/>
          </p>
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