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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SECTIO DECIMASEPTIMA
Continens XIX. XX. XXI. XXII. XXIII.
XXIV. & XXV. Propoſ. Apollonij.
SI menſura E C ſumatur in axe minori ellipſis A B C, ſitque
22a maior comparata; erit maximus omniũ ramorũ egredientiũ
ex ſua origine, vt E F, E B, E G; & maximo propinquior,
maior erit remotiore, nempe E F, quàm E B, & E B, quàm E G.
Coniungamus rectas A G, G B, B F,
144[Figure 144]33b F C; & ſecetur C H æqualis compara-
tæ: iungãturque F H, H B, H G.
Et quoniam H C maior eſt, quàm H
F, (16. 17. 18. ex 5.) erit angulus H C
F minor, quàm H F C; & ideo multo
minor erit, quàm E F C, quare E C
maior eſt, quàm E F: & ſic conſtat, quod
E F maior ſit, quàm E B, & E B, quàm
E G, & E G, quàm A E; quod erat
oſtendendum.

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