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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              <pb o="345" file="0383" n="384" rhead="Conicor. Lib. VII."/>
            duplum H M in C M minus duobus quadratis ex M H, & </s>
            <s xml:id="echoid-s12026" xml:space="preserve">ex G M: </s>
            <s xml:id="echoid-s12027" xml:space="preserve">& </s>
            <s xml:id="echoid-s12028" xml:space="preserve">
              <lb/>
            propterea A M in M C bis ſumptum ad H M in M C bis ſumptum, nẽ-
              <lb/>
            pe A M ad M H habebit maiorem proportionem, quam duplum A M
              <lb/>
            in M C ad duo quadrata ex H M, & </s>
            <s xml:id="echoid-s12029" xml:space="preserve">ex G M: </s>
            <s xml:id="echoid-s12030" xml:space="preserve">& </s>
            <s xml:id="echoid-s12031" xml:space="preserve">componendo A H ad
              <lb/>
            H M, ſeu quadratum A H ad A H in H M maiorem proportionem ha-
              <lb/>
            bebit quàm duplum A M in M C cum duobus quadratis ex H M, & </s>
            <s xml:id="echoid-s12032" xml:space="preserve">ex
              <lb/>
            M G (quæ omnia ſimul æqualia ſunt duobus quadratis C G, & </s>
            <s xml:id="echoid-s12033" xml:space="preserve">H C)
              <lb/>
            ad duo quadrata M H, & </s>
            <s xml:id="echoid-s12034" xml:space="preserve">M G; </s>
            <s xml:id="echoid-s12035" xml:space="preserve">igitur quadratum A H ad A H in H M
              <lb/>
            maiorem proportionem habet, quàm duo quadrata C G, & </s>
            <s xml:id="echoid-s12036" xml:space="preserve">C H ad duo
              <lb/>
            quadrata H M, & </s>
            <s xml:id="echoid-s12037" xml:space="preserve">G M, & </s>
            <s xml:id="echoid-s12038" xml:space="preserve">permutando quadratum A H ad duo qua-
              <lb/>
            drata C G, & </s>
            <s xml:id="echoid-s12039" xml:space="preserve">H C, ſcilicet quadratum A C ad quadratum diametri
              <lb/>
            figuræ eius maiorem proportionem habet, quàm A H in H M ad duo
              <lb/>
            quadrata M G, & </s>
            <s xml:id="echoid-s12040" xml:space="preserve">M H, ſeu quàm quadratum A C ad quadratum dia-
              <lb/>
            metri figuræ P Q (19. </s>
            <s xml:id="echoid-s12041" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s12042" xml:space="preserve">quapropter diameter figuræ P Q maior
              <lb/>
            eſt diametro figuræ A C. </s>
            <s xml:id="echoid-s12043" xml:space="preserve">Ducatur poſtea diameter S T, & </s>
            <s xml:id="echoid-s12044" xml:space="preserve">ad eam or-
              <lb/>
            dinatim applicata A X, & </s>
            <s xml:id="echoid-s12045" xml:space="preserve">ad axim
              <lb/>
            perpendicularem X V. </s>
            <s xml:id="echoid-s12046" xml:space="preserve">Et ſiqui-
              <lb/>
            dem G M minor eſt, quàm V H
              <lb/>
              <figure xlink:label="fig-0383-01" xlink:href="fig-0383-01a" number="454">
                <image file="0383-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0383-01"/>
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            cum A G, & </s>
            <s xml:id="echoid-s12047" xml:space="preserve">C H ſint æquales,
              <lb/>
            erunt duo quadrata H M, & </s>
            <s xml:id="echoid-s12048" xml:space="preserve">M G
              <lb/>
            maiora duobus quadratis H V, V
              <lb/>
            G: </s>
            <s xml:id="echoid-s12049" xml:space="preserve">hæc autem maiora ſunt quàm
              <lb/>
            duplum V H in V d: </s>
            <s xml:id="echoid-s12050" xml:space="preserve">ergo duplũ
              <lb/>
            M V in V d ad duplum H V in V
              <lb/>
            d, nempe V M ad V H maiorem
              <lb/>
            proportionem habet, quàm duplũ
              <lb/>
            M V in V d ad duo quadrata ex
              <lb/>
            V H, & </s>
            <s xml:id="echoid-s12051" xml:space="preserve">ex V G: </s>
            <s xml:id="echoid-s12052" xml:space="preserve">& </s>
            <s xml:id="echoid-s12053" xml:space="preserve">componendo
              <lb/>
            M H ad H V, ſeu M H in H A
              <lb/>
            ad V H in H A maiorem propor-
              <lb/>
            tionem habebit, quàm duplum M
              <lb/>
            V in V d cum duobus quadratis ex
              <lb/>
            V H, & </s>
            <s xml:id="echoid-s12054" xml:space="preserve">ex V G, quæ omnia ſi-
              <lb/>
            mul ſunt vt duo quadrata M H, & </s>
            <s xml:id="echoid-s12055" xml:space="preserve">
              <lb/>
            M G ad duo quadrata V H, & </s>
            <s xml:id="echoid-s12056" xml:space="preserve">V
              <lb/>
            G: </s>
            <s xml:id="echoid-s12057" xml:space="preserve">& </s>
            <s xml:id="echoid-s12058" xml:space="preserve">permutando M H in H A
              <lb/>
            ad duo quadrata H M, & </s>
            <s xml:id="echoid-s12059" xml:space="preserve">G M,
              <lb/>
            ſeu vt quadratum A C ad quadra-
              <lb/>
            tum diametri figuræ P Q (19. </s>
            <s xml:id="echoid-s12060" xml:space="preserve">ex
              <lb/>
            7.) </s>
            <s xml:id="echoid-s12061" xml:space="preserve">maiorem proportionem habebit, quàm V H in H A ad duo quadrata
              <lb/>
            V H, & </s>
            <s xml:id="echoid-s12062" xml:space="preserve">V G, ſeu quàm quadratum A C ad quadratum diametri figuræ
              <lb/>
            S T (19. </s>
            <s xml:id="echoid-s12063" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s12064" xml:space="preserve">quare diameter figuræ S T maior eſt diametro figuræ
              <lb/>
            P Q. </s>
            <s xml:id="echoid-s12065" xml:space="preserve">Poſtea quia y O eſt media proportionalis inter A C, & </s>
            <s xml:id="echoid-s12066" xml:space="preserve">A F erit
              <lb/>
            quadratum A C ad quadratum y O, vt A C ad A F, nempe vt C G ad
              <lb/>
            C H, ſeu vt C G in C H ad quadratum C H, & </s>
            <s xml:id="echoid-s12067" xml:space="preserve">quadratum y O ad ſum-
              <lb/>
            mam quadratorum y O, & </s>
            <s xml:id="echoid-s12068" xml:space="preserve">O f, nempe ad quadratum diametri ſuæ figuræ
              <lb/>
            eſt vt quadratum H C ad quadratum C G cum quadrato H C: </s>
            <s xml:id="echoid-s12069" xml:space="preserve">quare </s>
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