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

Table of contents

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[361.] SCHOLIVM PRIMVM ALKAVHI.
Page: 432 (393)
[362.] SCHOLIVM SECVNDVM ALKAVHI.
Page: 433 (394)
[363.] Notæ in Propoſit. V.
Page: 434 (395)
[364.] PROPOSITIO VI.
Page: 435 (396)
[365.] Notæ in Propoſit. VI.
Page: 436 (397)
[366.] PROPOSITIO VII.
Page: 437 (398)
[367.] SCHOLIVM ALMOCHTASSO.
Page: 438 (399)
[368.] PROPOSITIO VIII.
Page: 438 (399)
[369.] SCHOLIVM ALMOCHTASSO.
Page: 439 (400)
[370.] Notæ in Propoſit. VIII.
Page: 439 (400)
[371.] PROPOSITIO IX.
Page: 440 (401)
[372.] PROPOSITIO X.
Page: 440 (401)
[373.] PROPOSITIO XI.
Page: 441 (402)
[374.] SCHOLIVM ALMOCHTASSO.
Page: 442 (403)
[375.] PROPOSITIO XII.
Page: 442 (403)
[376.] SCHOLIVM ALMOCHTASSO.
Page: 443 (404)
[377.] Notæ in Propoſit. XII.
Page: 444 (405)
[378.] PROPOSITIO XIII.
Page: 444 (405)
[379.] PROPOSITIO XIV.
Page: 445 (406)
[380.] PROPOSITIO XV.
Page: 446 (407)
[381.] Notæ in Propoſit. XV.
Page: 447 (408)
[382.] PROPOSITIO XVI.
Page: 449 (410)
[383.] PROPOSITIO XVII.
Page: 450 (411)
[384.] FINIS.
Page: 452 (413)
[385.] Illuſtriſſime, ac Reuerendiſs, Dom.
Page: 453 (414)
[386.] Reuerendiſs. Pater Domine.
Page: 453 (414)
[387.] REGISTRVM.
Page: 453 (414)
[388.] Errata in figuris.
Page: 454 (415)
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            figuræ I L. </s>
            <s xml:id="echoid-s11549" xml:space="preserve">Simili modo eſtendetur, quod duo latera figuræ I L minora
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            ſunt, quàm duo latera figuræ A C.</s>
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          <p>
            <s xml:id="echoid-s11551" xml:space="preserve">Educamus poſtea C X extra ſegmentum A N; </s>
            <s xml:id="echoid-s11552" xml:space="preserve">& </s>
            <s xml:id="echoid-s11553" xml:space="preserve">educamus diametrũ
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            S T ei parallelam, & </s>
            <s xml:id="echoid-s11554" xml:space="preserve">ad axim perpendicularem X V, erit aggregatum.
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            <s xml:id="echoid-s11555" xml:space="preserve">G V, M H in M H quater ſumptum maius quàm quadratum C m; </s>
            <s xml:id="echoid-s11556" xml:space="preserve">& </s>
            <s xml:id="echoid-s11557" xml:space="preserve">ad-
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            damus communiter aggregatuin M H, G V in M H quater ſumptum; </s>
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            oſtendetur vt antea, quod duo latera ſiguræ S T maiora ſunt, quàm duo
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            latera figuræ P Q.</s>
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            <s xml:id="echoid-s11560" xml:space="preserve">Oſtendetur quoque in reliquis diametris cadentibus ad vtraſque par-
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            tes ipſius P Q in eadem ſectione, quod duo latera ſiguræ diametri ipſi
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            P Q proximioris minora ſunt, quàm duo latera figuræ remotioris.</s>
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          <head xml:id="echoid-head388" xml:space="preserve">In Sectionem VII. Propoſit: XXXVIII.
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          XXXIX. & XXXX.
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          LEMMA VI.</head>
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            <s xml:id="echoid-s11562" xml:space="preserve">S I recta linea H G bifariam ſecta in D producatur vtcumque ad A,
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            @ E, ita vt D H non maior ſit quàm H E, vel H A, @
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            E D maior ſit, quàm D A: </s>
            <s xml:id="echoid-s11563" xml:space="preserve">dico rectangulum ſub E D A in H A
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            maius eſſe quadrato D A.</s>
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            <s xml:id="echoid-s11565" xml:space="preserve">Quia E D maior ad minorem
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            D A habet maiorem proportionem,
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            quàm D H non maior ipſa H A,
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            ad H A, ergo componendo E D A
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            ad D A maiorem proportionem ha-
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            bet, quàm D A ad A H, & </s>
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            pterea rectangulum ſub extremis contentum, ſcilicet ſub E D A in A H, ma-
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            ins eſt quadrato D A.</s>
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          <head xml:id="echoid-head389" xml:space="preserve">LEMMA VII.</head>
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            <s xml:id="echoid-s11568" xml:space="preserve">I Iſdem poſitis, ſi D H
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            non minor fuerit quàm
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            H A, vel H E, ſitque
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            H E maior, quàm H A:
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            A in A H minus eſſe quadrato D A.</s>
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