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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401362Apollonij Pergæi I K, & latus C E, pariterque diameter Q P, cuius erectus P R,
eiuſque latus C M, ſi fuerit proportio ipſius H M ad M D eadem
proportioni H E ad D E, vel eadem proportioni H A ad D A, erit
differentia quadratorum ex lateribus Q P, &
ex P R figuræ diametri Q
P æqualis differentiæ quadratorum ex lateribus figuræ diametri I L, vel
A C:
ſi verò proportio illa minor fuerit erit prior differentia quadrato-
rum maior reliqua, &
ſi illa proportio maior fuerit, erit prima quadra-
torum differentia minor reliqua.
472[Figure 472]
Fiat D X æqualis D E, & D γ æqualis D M, & primo quia H M ad M D
eſt vt H E ad D E, permutando M H ad H E erit vt D M ad D E, ſeu vt duplũ
M γ ad duplum E X, &
ſumptis altitudinibus H A, & G H erit rectangulum
M H A ad rectangulum E H A vt rectangulum ſub γ M, &
G H ad rectan-
473[Figure 473]

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