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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Tandem quia quadratum A C ad ſemidifferentiam quadratorum ex I L, &
ex
I K eandem proportionem habet, quàm rectangulum E H A ad ſemifferen-
22Prop. 20
huius
.
tiam quadratorum ex E H, &
ex E G, vel ad ſemiſſem rectanguli ex E X in
G
H, vel potius ad rectanguluw ſub E D, &
ſub G H; ſed quadrati A C à
33Lem.
16
. huius.
rectangulo C A F differentia ad quadratum ipſum A G, ſeu differentia A C,
&
A F ad A C eandem proportionem habet, quàm H G ad H A, ſeu quàm
rectangulum
E H G ad rectangulum E H A, igitur ex æquali differentia qua-
44ex Def. 2.
huius
.
drati A C à rectangulo C A F ad ſemidifferentiam quadratorum ex I L, &
ex
I
K eandem proportionem habebit, quàm rectangulũ E H G ad rectangulum ſub
E
D, &
G H, eſtq; primũ rectangulũ reliquo rectangulo æquè alto maius, cum eius
baſis
E H maior ſit, quàm E D, igitur differentia quadrati A C à rectangulo
C
A F maior erit, quàm ſemidifferentia quadratorum ex I L, &
ex I K.

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