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

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

391 (352)	392 (353)
393 (354)	394 (355)
395 (356)	396 (357)
397 (358)	398 (359)
399 (360)	400 (361)

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