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

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            <s xml:id="echoid-s7134" xml:space="preserve">
              <pb o="294" file="0314" n="314" rhead="GEOMETRIÆ"/>
            &</s>
            <s xml:id="echoid-s7135" xml:space="preserve">, & </s>
            <s xml:id="echoid-s7136" xml:space="preserve">per, HA, ipſi, GM, parallelę, BY, ℟ &</s>
            <s xml:id="echoid-s7137" xml:space="preserve">, producaturque, T
              <lb/>
            S, vſque ad, B ℟, Y &</s>
            <s xml:id="echoid-s7138" xml:space="preserve">, in, P, Z, & </s>
            <s xml:id="echoid-s7139" xml:space="preserve">per, SV, ducantur, VF, SL,
              <lb/>
            parallelæipſi, HA, ſunt igitur parallelogramma, BA, AY, LT,
              <lb/>
            TF, BT, TY, PA, AZ. </s>
            <s xml:id="echoid-s7140" xml:space="preserve">Igitur parabola, AGH, ad portionem,
              <lb/>
            HST, habetrationem compoſitam ex ea, quam habet parabola, H
              <lb/>
              <note position="left" xlink:label="note-0314-01" xlink:href="note-0314-01a" xml:space="preserve">Diff. 12.
                <lb/>
              lib. 1.</note>
            GA, ad parallelogrammum, BA, ideſt ex ea, quam habent omnia
              <lb/>
            quadrata, H &</s>
            <s xml:id="echoid-s7141" xml:space="preserve">, (regula ſumpta pro hoc Theor. </s>
            <s xml:id="echoid-s7142" xml:space="preserve">ipſa, GM,) ad om-
              <lb/>
              <note position="left" xlink:label="note-0314-02" xlink:href="note-0314-02a" xml:space="preserve">Exante.</note>
            nia quadrata ſemicirculi, vel ſemiellipſis, HMA; </s>
            <s xml:id="echoid-s7143" xml:space="preserve">& </s>
            <s xml:id="echoid-s7144" xml:space="preserve">ex ea, quam
              <lb/>
              <figure xlink:label="fig-0314-01" xlink:href="fig-0314-01a" number="208">
                <image file="0314-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0314-01"/>
              </figure>
            habet, AB, ad, BT,
              <lb/>
              <note position="left" xlink:label="note-0314-03" xlink:href="note-0314-03a" xml:space="preserve">5. Lib. 2.</note>
            ideſt, AH, ad, HT,
              <lb/>
            ideſt omnia quadra-
              <lb/>
              <note position="left" xlink:label="note-0314-04" xlink:href="note-0314-04a" xml:space="preserve">9. Lib. 2.</note>
            ta, & </s>
            <s xml:id="echoid-s7145" xml:space="preserve">H, ad omnia
              <lb/>
            quadrata, HZ; </s>
            <s xml:id="echoid-s7146" xml:space="preserve">& </s>
            <s xml:id="echoid-s7147" xml:space="preserve">ex
              <lb/>
              <note position="left" xlink:label="note-0314-05" xlink:href="note-0314-05a" xml:space="preserve">Ex antec.</note>
            ea, quam habet, BT,
              <lb/>
              <note position="left" xlink:label="note-0314-06" xlink:href="note-0314-06a" xml:space="preserve">Defin. 12.
                <lb/>
              lib. 1.</note>
            ad portionem, HST,
              <lb/>
            ideſt omnia quadra-
              <lb/>
            ta, HZ, ad omnia
              <lb/>
            quadrata ſemiportio-
              <lb/>
            nis, HTV, ſed etiam
              <lb/>
            omnia quadrata ſe-
              <lb/>
            micirculi, vel ſemiel-
              <lb/>
            lipſis, HMA, ad on-
              <lb/>
            nia quadrata ſemipor
              <lb/>
            tionis, HTV, ha-
              <lb/>
            bent rationem com-
              <lb/>
            poſitam ex ea, quam
              <lb/>
            habent omnia qua-
              <lb/>
            drata ſemicirculi, vel
              <lb/>
            ſemiellipſis, HMA,
              <lb/>
            ad omnia quadrata,
              <lb/>
            H &</s>
            <s xml:id="echoid-s7148" xml:space="preserve">, & </s>
            <s xml:id="echoid-s7149" xml:space="preserve">ex ea, quam
              <lb/>
            habent hęc ad omnia
              <lb/>
            quadrata ſemiportio-
              <lb/>
            nis, HTV, ergo pa-
              <lb/>
            rabola, HGA, ad portionem, HST, eſt vt omnia quadrata, HM
              <lb/>
              <note position="left" xlink:label="note-0314-07" xlink:href="note-0314-07a" xml:space="preserve">Lib. 3.</note>
            A, ad omnia quadrata ſemiportionis, HTV, ideſt vt parallelepipe-
              <lb/>
            dum ſub altitudine, XA, baſi quadrato, AH, ad parallelepipedum
              <lb/>
            ſub altitudine, XT, baſi quadrato, TH; </s>
            <s xml:id="echoid-s7150" xml:space="preserve">vel vt cubus, AH, ad pa-
              <lb/>
            rallelepipedum ſub altitudine tripla, AT, baſi quadrato, TH, cum
              <lb/>
            cubo, TH, ſic. </s>
            <s xml:id="echoid-s7151" xml:space="preserve">n. </s>
            <s xml:id="echoid-s7152" xml:space="preserve">eſſe omnia quadrata ſemicirculi, vel ſemiellipſis,
              <lb/>
            HMA, ad omnia quadrata ſemiportionis, HVT, oſtenſum eſt
              <lb/>
            Lib. </s>
            <s xml:id="echoid-s7153" xml:space="preserve">3. </s>
            <s xml:id="echoid-s7154" xml:space="preserve">Propoſ. </s>
            <s xml:id="echoid-s7155" xml:space="preserve">6.</s>
            <s xml:id="echoid-s7156" xml:space="preserve"/>
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