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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306268Apollonij Pergæi

353[Figure 353]

Quoniam A R maior ponitur quã
A D ſumi poterit recta A X minor
quidem, quàm A R, ſed maior quã
A D, & centro X interuallo X A
deſcribatur circulus I A S. Patet
11ex pr. 14.
addit.
lib. 5. (ex demonſtratis ſuperius) circulum
I S extrinſecus tangere coniſectionem
B A C; at ſectio T V extrinſecus
22Maurol.
pr. 3. 6. 9.
13. lib. 5.
Conic. circulum I S tangit in eodem puncto
verticis A, ergo ſectio T V extrin-
ſecus tangit coniſectionem B A C in
eodem puncto A. Quod erat oſten-
dendum.

Si in eodem plano circulus F A G ſecuerit coniſectionem H A I in
33PROP.
20.
Addit.
ex 16.
addit.
huius. puncto A quod non ſit vertex axis eius, atque eadem recta linea D A
contingat circulum, & ſectionem in eodem puncto A; Dico quod quæ-
libet alia coniſectio S A Z in eodem plano cum illis poſita cuius axis ſit
idem circuli diameter A K habens Y ſemiſſem lateris recti axis æqualẽ radio
circuli F A G: ſecabit quoque eandem coniſectionem H A I in eodem
puncto A, atque continget eandem rectam lineam A D in A.

354[Figure 354]

Deſcribantur (vt in 16. additarum huius libri factum eſt) duo coni A B C,
Scalenus comprehendens ſectionem H A I, & conus rectus E A C comprehen-
dens circularem ſubcontrariam ſectionem F A G, quorum baſis communis

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