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

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              <pb o="452" file="0472" n="472" rhead="GEOMETRIÆ"/>
            ſpatio, ad circulum eiuſdem numeri, eſt vt compoſitum ex
              <lb/>
            rectangulo ſub radio eiuſdem circuli, & </s>
            <s xml:id="echoid-s11581" xml:space="preserve">ſub radio circuli
              <lb/>
            vnitate minoris, vna cum 3. </s>
            <s xml:id="echoid-s11582" xml:space="preserve">parte quad. </s>
            <s xml:id="echoid-s11583" xml:space="preserve">differentiæ vtri-
              <lb/>
            uſq; </s>
            <s xml:id="echoid-s11584" xml:space="preserve">radij, ad quadratum maioris radij prædictorum.</s>
            <s xml:id="echoid-s11585" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11586" xml:space="preserve">Sit quicunq; </s>
            <s xml:id="echoid-s11587" xml:space="preserve">circulus, CDFB, ſpatium eiuſdem numeri cum eo,
              <lb/>
            quod cõtinetur ſub ſpirali, GMSIB, & </s>
            <s xml:id="echoid-s11588" xml:space="preserve">voluta, GB; </s>
            <s xml:id="echoid-s11589" xml:space="preserve">circulus vnita-
              <lb/>
            te minor ipſæ,
              <emph style="sc">Ya</emph>
            HG. </s>
            <s xml:id="echoid-s11590" xml:space="preserve">Dico ſpatium dictum ad circulum, BCD
              <lb/>
            F, eſſe vt rectangulum, BAG, cum tertia parte quadrati, GB, ad
              <lb/>
            quadratum, AB. </s>
            <s xml:id="echoid-s11591" xml:space="preserve">Exponatur triangulus, LPQ, rectum habens an-
              <lb/>
            gulum ad, P, cuius latus, LP, ſit æquale ipſi, AB, & </s>
            <s xml:id="echoid-s11592" xml:space="preserve">latus, PQ,
              <lb/>
            æquale compoſito ex tot circumferentijs circuli, CDFB, quot ra-
              <lb/>
            dij primi circuii ſunt in, AB, deinde intra triangulum, LPQ, ver-
              <lb/>
            tice, L, deſcripta ſit parabola, cuius curua tranſeat per, Q, quæ
              <lb/>
              <note position="left" xlink:label="note-0472-01" xlink:href="note-0472-01a" xml:space="preserve">20. l. 4.</note>
            ſit, LΩQ, ita vt, LP, ſit eandem tangens in, L, & </s>
            <s xml:id="echoid-s11593" xml:space="preserve">ſecans paralle-
              <lb/>
            la axi ipſa, QP, abſcindatur deinde ab, LP, recta, Lβ, æqualis ipſi-
              <lb/>
              <figure xlink:label="fig-0472-01" xlink:href="fig-0472-01a" number="324">
                <image file="0472-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0472-01"/>
              </figure>
            </s>
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