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="330" file="0368" n="369" rhead="Apollonij Pergæi"/>
            permutando vt prius, idem quadratum A C ad quadratum ex Q P R, maiorem
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            proportionem habebit, quàm ad quadratum ex C A F, ſeu ex L I K, & </s>
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            pterea ſumma Q P R minor erit, quàm C A F, vel L I K, quæ erat oſten-
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            denda.</s>
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        <div xml:id="echoid-div998" type="section" level="1" n="317">
          <head xml:id="echoid-head392" xml:space="preserve">Notæ in Propoſit. XXXVIII. XXXIX.</head>
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            <s xml:id="echoid-s11614" xml:space="preserve">QVia axis C A minor non eſt triente eius erecti A F, eſtq; </s>
            <s xml:id="echoid-s11615" xml:space="preserve">H A ad A G vt C A
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            ad A F, ergo H A æqualis, aut maior eſt parte tertia ipſius A G; </s>
            <s xml:id="echoid-s11616" xml:space="preserve">& </s>
            <s xml:id="echoid-s11617" xml:space="preserve">A H
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            æqualis, aut maior erit, quàm ſemiſſis ipſius H G differentiæ illa-
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            rum, eſtque G H ſecta bifariam in D, ergo H A æqualis, aut maior erit,
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            quàm D H, eſtque H E maior quàm H A, ergo pariter H E maior eſt, quàm
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              <note position="left" xlink:label="note-0368-01" xlink:href="note-0368-01a" xml:space="preserve">Lem. 6.</note>
            D H, quare rectangulum ſub E D A in A H maius erit quadrato D A, atque
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            ſumma laterum figuræ L I K maior, quàm ſumma laterum figuræ axis C A F.</s>
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          <note position="left" xml:space="preserve">Lem. 9.</note>
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            <s xml:id="echoid-s11619" xml:space="preserve">Similiter quia H M maior eſt, quàm H E, erit quoque H M maior, quàm
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            D H, & </s>
            <s xml:id="echoid-s11620" xml:space="preserve">propterea ex lemma 6. </s>
            <s xml:id="echoid-s11621" xml:space="preserve">& </s>
            <s xml:id="echoid-s11622" xml:space="preserve">9. </s>
            <s xml:id="echoid-s11623" xml:space="preserve">ſumma Q P R maior erit, quàm ſum-
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            ma L I K.</s>
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          <head xml:id="echoid-head393" xml:space="preserve">Notæ in Propoſit. XXXX.</head>
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            <s xml:id="echoid-s11625" xml:space="preserve">QVia C A minor eſt triente ipſius A F, eſtque H A ad A G vt C A ad A
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            F, ergo H A minor eſt tertia parte ipſius A G, & </s>
            <s xml:id="echoid-s11626" xml:space="preserve">minor ſemiſſe </s>
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