Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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            æqualitate quadratum A C ad quadratum @diametri figuræ y O eandem,
              <lb/>
            proportionem habet, quàm C G, ſeu A H in H C ad duo quadrata ip-
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            ſius C G, atque ipſius C H: </s>
            <s xml:id="echoid-s12070" xml:space="preserve">igitur A H in H V maiorem ad duo qua-
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              <figure xlink:label="fig-0384-01" xlink:href="fig-0384-01a" number="455">
                <image file="0384-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0384-01"/>
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            drata ex V G minori, & </s>
            <s xml:id="echoid-s12071" xml:space="preserve">ex V H, ſeu vt quadratum A C ad quadratum
              <lb/>
            diametri figuræ S T (19. </s>
            <s xml:id="echoid-s12072" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s12073" xml:space="preserve">maiorem proportionem habebit, quàm
              <lb/>
            A H in H C minorem ad duo quadrata ex G C, & </s>
            <s xml:id="echoid-s12074" xml:space="preserve">C H maiora, ſcili-
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            cet vt quadratum A C ad quadratum diametri figuræ y O (19. </s>
            <s xml:id="echoid-s12075" xml:space="preserve">ex 7.)</s>
            <s xml:id="echoid-s12076" xml:space="preserve">;
              <lb/>
            </s>
            <s xml:id="echoid-s12077" xml:space="preserve">igitur quadratum diametri figuræ y O maior eſt quàm quadratum diametri
              <lb/>
            figuræ S T. </s>
            <s xml:id="echoid-s12078" xml:space="preserve">Si verò G M non fuerit minor quàm V H; </s>
            <s xml:id="echoid-s12079" xml:space="preserve">vtique duo qua-
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            drata ex G M, & </s>
            <s xml:id="echoid-s12080" xml:space="preserve">M H non erunt maiora duobus quadratis ex V G, & </s>
            <s xml:id="echoid-s12081" xml:space="preserve">
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            ex V H: </s>
            <s xml:id="echoid-s12082" xml:space="preserve">at A H in M H ad duo quadrata ex G M, & </s>
            <s xml:id="echoid-s12083" xml:space="preserve">ex M H, nempe
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            quadratum A C ad quadratum diametri figuræ P Q habebit maiorem,
              <lb/>
            proportionem, quàm A H ad H V ad duo quadrata ex V H, & </s>
            <s xml:id="echoid-s12084" xml:space="preserve">ex V
              <lb/>
            G, ſcilicet vt quadratum A C ad quadratum diametri figuræ S T; </s>
            <s xml:id="echoid-s12085" xml:space="preserve">igi-
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            tur diameter figuræ S T maior eſt diametro figuræ P Q. </s>
            <s xml:id="echoid-s12086" xml:space="preserve">Eadem prorſus
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            oſtendentur, quando punctum V cadit vltra punctum D ad partes A in-
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            ter puncta D, & </s>
            <s xml:id="echoid-s12087" xml:space="preserve">M. </s>
            <s xml:id="echoid-s12088" xml:space="preserve">Et hoc erat propoſitum.</s>
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Impressum