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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[291.] PROPOSITIO XXXXIII.
Page: 341 (302)
[292.] PROPOSITIO XXIV.
Page: 342 (303)
[293.] PROPOSITIO XXXVII.
Page: 343 (304)
[294.] Notę in Propoſit. XXVIII.
Page: 344 (305)
[295.] LEMMA. I.
Page: 345 (306)
[296.] Notę in Propoſit. XXI.
Page: 347 (308)
[297.] Notę in Propoſit. XXXXII.
Page: 349 (310)
[298.] Notæ in Propoſit. XXXXIII.
Page: 350 (311)
[299.] Notæ in Propoſit. XXIV.
Page: 352 (313)
[300.] SECTIO SEXTA Continens Propoſit. XXXIII. XXXIV. XXXV. & XXXVI. PROPOSITIO XXXIII.
Page: 353 (314)
[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)
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397358Apollonij Pergæi
SECTIO DECIMA
Continens Propoſit. XXXXIX. XXXXX.
& XXXXXI.
XXXXXI. IN hyperbola, & ellipſi, ſi axis tranſuerſus minor
fuerit ſuo erecto, differentia quadratorum duorum
11a laterum figuræ axis eius maior eſt, quàm differentia quadrato-
rum laterum figuræ cuiuslibet alterius diametri ei homologæ. Et
differentia quadratorum laterum figure homologæ proximioris
axi ſemper maior eſt in hyperbola, quàm differentia quadratorum
laterum figuræ remotioris: at in ellypſi quouſque diameter tran-
ſuerſa æqualis non fiat ſuo erecto.
XXXXX. Et in hyperbola differentia quadrati axis inclinati
ab eius figura minor erit ſemidifferentia quadratorum duorum
laterum figuræ ſui homologi.
467[Figure 467]
XXXXIX. Si verò in hyperbole axis inclinatus maior fuerit
ſuo erecto, vtique differentia quadratorum duorum laterum fi-
guræ axis minor erit differentia quadratorum laterum figuræ

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