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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[301.] PROPOSITIO XXXIV.
Page: 354 (315)
[302.] PROPOSITIO XXXV. & XXXVI.
Page: 355 (316)
[303.] In Sectionem VI.
Page: 356 (317)
[304.] LEMMA II.
Page: 357 (318)
[305.] LEMMA III.
Page: 357 (318)
[306.] LEMMA IV.
Page: 357 (318)
[307.] LEMMA V.
Page: 358 (319)
[308.] Notæ in Propof. XXXIII. & XXXIV.
Page: 359 (320)
[309.] Notæ in Propoſit. XXXV.
Page: 360 (321)
[310.] SECTIO SEPTIMA Continens Propoſit. XXXVIII. XXXIX. & XXXX. PROPOSITIO XXXVIII.
Page: 362 (323)
[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)
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            Simili modo oſtendetur quod I K minor ſit, quam P R: </s>
            <s xml:id="echoid-s11289" xml:space="preserve">etenim ſi pona-
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            tur linea f æqualis ſummæ M G, G E: </s>
            <s xml:id="echoid-s11290" xml:space="preserve">cum G E non ſit maior duplo E
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            H, & </s>
            <s xml:id="echoid-s11291" xml:space="preserve">f maior ſit duplo G E; </s>
            <s xml:id="echoid-s11292" xml:space="preserve">igitur f in E H maius eſt quadrato G E.
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            <s xml:id="echoid-s11293" xml:space="preserve">Poſtea oſtendetur (quemadmodum antea dictum eſt) quod M H ad H
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            E, nempe M H in H A ad E H in H A minorem proportionem habet
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            quàm quadratum M G ad quadratum G E; </s>
            <s xml:id="echoid-s11294" xml:space="preserve">& </s>
            <s xml:id="echoid-s11295" xml:space="preserve">permutando M H in H A
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            ad quadratum M G, ſeu quadratum A C ad quadratum P R(15. </s>
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            <s xml:id="echoid-s11297" xml:space="preserve">minorem proportionem habebit, quàm E H in H A ad quadratum G E,
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            nempe quàm quadratum A C ad quadratum I K: </s>
            <s xml:id="echoid-s11298" xml:space="preserve">& </s>
            <s xml:id="echoid-s11299" xml:space="preserve">propterea A C ad
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            P R minorem proportionem habebit, quàm ad I K; </s>
            <s xml:id="echoid-s11300" xml:space="preserve">ideoquè I K minor
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            eſt, quàm P R: </s>
            <s xml:id="echoid-s11301" xml:space="preserve">& </s>
            <s xml:id="echoid-s11302" xml:space="preserve">pariter P R minor, quàm S Z.</s>
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          <head xml:id="echoid-head375" xml:space="preserve">PROPOSITIO XXXV. &
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          XXXVI.</head>
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            <s xml:id="echoid-s11304" xml:space="preserve">S It poſtea A C minor dimidio A F; </s>
            <s xml:id="echoid-s11305" xml:space="preserve">erit A G maior duplo A H, & </s>
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            ideo H G maior eſt, quàm H A: </s>
            <s xml:id="echoid-s11307" xml:space="preserve">ponatur iam H M æqualis H G,
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            ducaturque ad axim perpendicularis N M ; </s>
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            tur diameter P Q parallela N C. </s>
            <s xml:id="echoid-s11310" xml:space="preserve">Et quia M H medietas eſt ipſius M G,
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            erit P Q dimidium ipſius P R (6. </s>
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            <s xml:id="echoid-s11312" xml:space="preserve">Inter duas diametros P Q, A C
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            ducatur diameter I I.</s>
            <s xml:id="echoid-s11313" xml:space="preserve">, & </s>
            <s xml:id="echoid-s11314" xml:space="preserve">C B ei parallela, & </s>
            <s xml:id="echoid-s11315" xml:space="preserve">ad axim perpendicularis
              <lb/>
            B E. </s>
            <s xml:id="echoid-s11316" xml:space="preserve">Quoniam M H in H E minus eſt quadrato H G; </s>
            <s xml:id="echoid-s11317" xml:space="preserve">addito </s>
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