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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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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