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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372333Conicor. Lib. VII.
SECTIO OCTAVA
Continens Propoſit. XXXXIIII. XXXXV.
& XXXXVI.
IN hyperbole ſi quadratum axis inclinati minus non fuerit di-
midio quadrati ex differentia ipſius, & ſui erecti, vtique
quadratum diametri figuræ eius minus eſt, quàm quadratum
diametri figuræ cuiuſcumque alterius inclinati eiuſdem ſectionis.
XXXXVI. Si verò minus fuerit cadent ad vtraſque partes
eius duæ inter ſe æquales diametri, quarum vniuscuiuſlibet qua-
dratum æquale eſt quadrato exceſſus ſui erecti, & quadratum
diametri figuræ ipſius minus eſt quàm quadratum diametri figu-
ræ cuiuſlibet alterius inclinati ad vtraſque eius partes cadentis:
& diameter figuræ inclinati proximioris illi minor eſt quàm dia-
meter figuræ inclinati remotioris.
441[Figure 441]
Iiſdem figuris manentibus ſupponatur prius A C non minor quàm A Demonſt
F; ergo P Q non erit minor quàm P R (28. ex 7.) & duo quadrata A prop. 44.
C, A F nempe diameter figuræ A C minor eſt quàm diameter figuræ

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