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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[311.] PROPOSITIO XXXIX.
Page: 363 (324)
[312.] PROPOSITIO XXXX.
Page: 364 (325)
[313.] In Sectionem VII. Propoſit: XXXVIII. XXXIX. & XXXX. LEMMA VI.
Page: 366 (327)
[314.] LEMMA VII.
Page: 366 (327)
[315.] LEMMA VIII.
Page: 367 (328)
[316.] LEMMA IX.
Page: 367 (328)
[317.] Notæ in Propoſit. XXXVIII. XXXIX.
Page: 369 (330)
[318.] Notæ in Propoſit. XXXX.
Page: 369 (330)
[319.] SECTIO OCTAVA Continens Propoſit. XXXXIIII. XXXXV. & XXXXVI.
Page: 372 (333)
[320.] PROPOSITIO XXXXVI.
Page: 374 (335)
[321.] In Sectionem VIII. Propoſit. XXXXIIII. XXXXV. & XXXXVI. LEMM A.X.
Page: 375 (336)
[322.] LEMM A XI.
Page: 375 (336)
[323.] LEMM A XII.
Page: 376 (337)
[324.] Notæ in Propoſit. XXXXIV. & XXXXV.
Page: 378 (339)
[325.] Notæ in Propoſit. XXXXVI.
Page: 378 (339)
[326.] SECTIO NONA Continens Propoſit. XXXXI. XXXXVII. & XXXXVIII.
Page: 380 (341)
[327.] PROPOSITIO XXXXI.
Page: 382 (343)
[328.] PROPOSITIO XXXXVII.
Page: 383 (344)
[329.] PROPOSITIO XXXXVIII.
Page: 386 (347)
[330.] In Sectionem IX. Propoſit. XXXXI. XXXXVII. & XXXXVIII. LEMMA. XIII.
Page: 388 (349)
[331.] LEMMA XIV.
Page: 389 (350)
[332.] LEMMA XV.
Page: 389 (350)
[333.] Notæ in Propoſit. XXXXI.
Page: 392 (353)
[334.] Notæ in Propoſit. XXXXVII.
Page: 393 (354)
[335.] Notæ in Propoſit. XXXXVIII.
Page: 394 (355)
[336.] SECTIO DECIMA Continens Propoſit. XXXXIX. XXXXX. & XXXXXI.
Page: 397 (358)
[337.] In Sectionem X. Propoſit. XXXXIX. XXXXX. & XXXXXI. LEMMA XVI.
Page: 400 (361)
[338.] LEMMA XVII.
Page: 400 (361)
[339.] LEMMA XVIII.
Page: 403 (364)
[340.] Notæ in Propoſit. XXXXIX.
Page: 404 (365)
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            camus perpendicularem, & </s>
            <s xml:id="echoid-s11526" xml:space="preserve">diametrum. </s>
            <s xml:id="echoid-s11527" xml:space="preserve">Dico, quod P Q æ-
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            <s xml:id="echoid-s11529" xml:space="preserve">Educamus inter P Q, A C diametrum I L, & </s>
            <s xml:id="echoid-s11530" xml:space="preserve">educamus C B ei æ-
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            quidiſtantem, & </s>
            <s xml:id="echoid-s11531" xml:space="preserve">perpendicularem B E, & </s>
            <s xml:id="echoid-s11532" xml:space="preserve">ſecemus E l æqualem E A
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            erit ſumma ipſarum G E, & </s>
            <s xml:id="echoid-s11533" xml:space="preserve">E H æqualis C l; </s>
            <s xml:id="echoid-s11534" xml:space="preserve">eſtque H E minor quam
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            M H, quæ quarta pars eſt ipſius C m; </s>
            <s xml:id="echoid-s11535" xml:space="preserve">ergo ſumma ipſarum M G, H E
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            in M H quater ſumptum minus eſt quadrato C m: </s>
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            M G, H E in H E minus quàm quadratum C l (quia M G, H E ſimul
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            quadrato l m; </s>
            <s xml:id="echoid-s11537" xml:space="preserve">quod eſt duplum M E, & </s>
            <s xml:id="echoid-s11538" xml:space="preserve">aggregatum C E, A E, nem-
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            <s xml:id="echoid-s11541" xml:space="preserve">componendo M H ad H E, ſeu M H in H A ad E H in H A
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            ptum cum quadrato l C (quæ æqualia ſunt quadrato C m) ad quadra-
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            tum l C: </s>
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            <s xml:id="echoid-s11543" xml:space="preserve">permutando erit M H in H A ad quadratum C m, nempe
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            quadratum aggregati ipſarum I L, I K: </s>
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            figuræ P Q maiorem proportionem habet, quàm ad duo latera figuræ I
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            L. </s>
            <s xml:id="echoid-s11548" xml:space="preserve">Et propterea duo latera figuræ P Q minora ſunt, quàm duo latera
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