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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187149Conicor. Lib. V. ergo non congruit portio alicuius

198[Figure 198] ſectionis portioni alterius ſectionis,
cui æqualis non eſt. Et hoc erat
oſtendendum.

Notæ in Propoſit. III.

ETenim ellipſis non eſt æqualis alicui hyperbolæ, & c. Suppleri debet in
textu verbum (parabolæ) dicendo. Etenim ellipſis non eſt æqualis alicui
11a parabolæ, aut hyperbolæ, quia illa eſt determinata; hæ verò ſunt indeterminatæ,
ſcilicet ellipſis eſt finita parabole verò, & hyperbole in infinitum extendi poſ-
ſunt, & propterea nulla ratione æquales oſtendentur.

Notæ in Propoſit. VI.

QVælibet duæ ſectiones A B C, D E
22a F, quarum vnaquæque literarum
ſuperpoſita literis alterius con-

199[Figure 199] gruit; vtique ſunt æquales, & c. Legendum
puto. Quælibet duæ ſectiones A B C, & D
E F, quarum portio vnius, alterius portioni
ſuperpoſita congruit ſunt æquales inter ſe.

Notæ in Propoſit. VII.

ORdinationes axis in qualibet hyper-
33a

200[Figure 200] bolarum abſcindunt à ſectione ex
vtraque parte axis duo ſegmenta, quæ,
ſi cadit vnum ſuper alterum, ſibi mutuò
congruunt, nec excedunt, nec deficiunt,
nec congruunt alicui portioni ſectionis,
& c. Expungi debent verba aliqua huius te-
xtus ſuperuacanea, & aliqua adiungi, vt ſenſus continuus talis ſit. Duæ
ordinationes axis in qualibet coniſectione abſcindunt à ſectione ex vtraque
parte, axis duas portiones, quarum vna alteri ſuperpoſita ſibi mutuò congruent,
nec cõgruunt alicui aliæ portioni ſectionis.

Quoniam axis B D bifariam diuidit G H, A C, & c. Ex eo
44b enim quod omnes applicatæ ad axim B D ſecantur bifariam

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