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="363" file="0401" n="402" rhead="Conicor. Lib. VII."/>
            gulum ſub E X, & </s>
            <s xml:id="echoid-s12455" xml:space="preserve">G H, & </s>
            <s xml:id="echoid-s12456" xml:space="preserve">permutando rectangulum M H A ad rectangulum
              <lb/>
              <note position="right" xlink:label="note-0401-01" xlink:href="note-0401-01a" xml:space="preserve">Lem. 16.
                <lb/>
              huius.</note>
            ſub γ M, & </s>
            <s xml:id="echoid-s12457" xml:space="preserve">G H, ſeu ad differentiam quadratorum ex H M, & </s>
            <s xml:id="echoid-s12458" xml:space="preserve">ex M G
              <lb/>
            eandem proportionem habebit, quàm rectangulum E H A ad rectangulum ſub
              <lb/>
              <note position="right" xlink:label="note-0401-02" xlink:href="note-0401-02a" xml:space="preserve">Ibidem.</note>
            E X, & </s>
            <s xml:id="echoid-s12459" xml:space="preserve">ſub G H, ſeu ad differentiam quadratorum ex H E, & </s>
            <s xml:id="echoid-s12460" xml:space="preserve">ex E G: </s>
            <s xml:id="echoid-s12461" xml:space="preserve">eſt
              <lb/>
            verò quadratum A C ad differentiam quadratorum ex P Q, & </s>
            <s xml:id="echoid-s12462" xml:space="preserve">ex P R, vt
              <lb/>
              <note position="right" xlink:label="note-0401-03" xlink:href="note-0401-03a" xml:space="preserve">Prop. 20.
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              huius.</note>
            rectangulum M H A ad differentiam quadratorum ex H M, & </s>
            <s xml:id="echoid-s12463" xml:space="preserve">ex M G, pa-
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            riterque idem quadratum A C ad differentiã quadratorum ex I L, & </s>
            <s xml:id="echoid-s12464" xml:space="preserve">ex I K
              <lb/>
              <note position="right" xlink:label="note-0401-04" xlink:href="note-0401-04a" xml:space="preserve">Ibidem.</note>
            eſt, vt rectangulum E H A ad differentiam quadratorum ex H E, & </s>
            <s xml:id="echoid-s12465" xml:space="preserve">ex E
              <lb/>
            G, igitur idem quadratum A C ad differentiam quadratorum ex P Q, & </s>
            <s xml:id="echoid-s12466" xml:space="preserve">ex
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            P R eandem proportionem habet, quàm ad differentiam quadratorum ex I L,
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            & </s>
            <s xml:id="echoid-s12467" xml:space="preserve">ex I K, & </s>
            <s xml:id="echoid-s12468" xml:space="preserve">propterea differentia quadratorum ex Q P, & </s>
            <s xml:id="echoid-s12469" xml:space="preserve">ex P R æqualis
              <lb/>
            eſt quadratorum differentiæ ex I L, & </s>
            <s xml:id="echoid-s12470" xml:space="preserve">ex I K, ſiue æqualis eſt quadratorum
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            differentiæ ex A C, & </s>
            <s xml:id="echoid-s12471" xml:space="preserve">ex A F.</s>
            <s xml:id="echoid-s12472" xml:space="preserve"/>
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            <s xml:id="echoid-s12473" xml:space="preserve">Secundo H M ad M D minorem proportionem habeat, quàm H E ad D E,
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            vt prius permutando habebit H M ad H E minorem proportionem, quàm D M
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            ad D E, ſeu quàm duplum M γ ad duplum E X, & </s>
            <s xml:id="echoid-s12474" xml:space="preserve">ſumptis communibus al-
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            titudinibus H A ad G H, & </s>
            <s xml:id="echoid-s12475" xml:space="preserve">permutando ex lem. </s>
            <s xml:id="echoid-s12476" xml:space="preserve">16. </s>
            <s xml:id="echoid-s12477" xml:space="preserve">& </s>
            <s xml:id="echoid-s12478" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s12479" xml:space="preserve">20. </s>
            <s xml:id="echoid-s12480" xml:space="preserve">huius,
              <lb/>
            idem quadratum A C ad differentiam quadratorum ex P Q, & </s>
            <s xml:id="echoid-s12481" xml:space="preserve">ex P R mino-
              <lb/>
            rem proportionem habebit, quàm ad differentiam quadratorum ex I L, & </s>
            <s xml:id="echoid-s12482" xml:space="preserve">ex
              <lb/>
            I K, quapropter differentia quadratorum ex P Q, & </s>
            <s xml:id="echoid-s12483" xml:space="preserve">ex P R maior erit, quàm
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            differentia quadratorum ex I L, & </s>
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            dratorum ex A C, & </s>
            <s xml:id="echoid-s12485" xml:space="preserve">ex A F.</s>
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