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="353" file="0391" n="392" rhead="Conicor. Lib. VII."/>
            minorem proportionem habebit, quàm rectangulum E H A ad duo quadrata
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            ex G E, & </s>
            <s xml:id="echoid-s12251" xml:space="preserve">ex E H, ſen quàm quadratum A C ad duo quadrata ex I L, & </s>
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              <note position="right" xlink:label="note-0391-01" xlink:href="note-0391-01a" xml:space="preserve">17. huíus.</note>
            ex I K: </s>
            <s xml:id="echoid-s12253" xml:space="preserve">igitur duo quadrata ex P Q, & </s>
            <s xml:id="echoid-s12254" xml:space="preserve">ex\P R maiora ſunt duobus quadra-
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            tis ex I L, & </s>
            <s xml:id="echoid-s12255" xml:space="preserve">ex I K, quod erat oſtendendum.</s>
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          <head xml:id="echoid-head412" xml:space="preserve">Notæ in Propoſit. XXXXI.</head>
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            <s xml:id="echoid-s12257" xml:space="preserve">IN ellypſi, cuius axis maior A C, quia rectangulum A H E ad quadratum
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            H G eſt, vt quadratum A C ad quadratum ex L I K, vel ad quadratum
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              <note position="right" xlink:label="note-0391-02" xlink:href="note-0391-02a" xml:space="preserve">Prop. 16.
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              huius.</note>
            ex C A F, atq; </s>
            <s xml:id="echoid-s12258" xml:space="preserve">quadratum ex G H ad rectangulum A H M eandem proportio-
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            nem habet, quàm quadratum ex Q P R ad quadratum A C, igitur ex æquali
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            perturbata rectangulum A H E maius ad minus rectangulum A H M eandem
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            proportionem habet, quàm quadratum ex Q P R ad quadratum ex L I K, vel
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            ad quadratum ex C A F: </s>
            <s xml:id="echoid-s12259" xml:space="preserve">eſtque rectangulum A H E maius rectangulo A H
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            M, ergo quadratũ ex ſumma Q P R maius eſt quadrato ex ſumma L I K, & </s>
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            propterea linearũ sũma Q P R maior erit, quàm sũma L I K, vel quàm </s>
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