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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246208Apollonij Pergæi

Efficiant duo plana parallela D
11b

282[Figure 282] E N F, G H P I in baſim coni A C
duas rectas lineas D F, G I, & pla-
num per axim coniductum efficiat
triangulum A B C perpendiculare
ad duo illa plana parallela; quæ ab
illo ſecentur in E K, H L. Erunt
D F, I G perpendiculares ad A C,
& educamus B M parallelam ipſis
E K, H L; & vt quadratum B M ad
A M in M C; ita ponatur N E ad
E O, & ita P H ſiat ad H Q, erunt
2212. 13.
lib. 1. N E, P H inclinata duarũ ſectionũ
F E D, I H G, aut eorum tranſuer-
ſæ; igitur O E, H Q erunt eorum
erecta, & propterea figuræ duarum ſectionũ ſunt ſimiles; igitur duæ ſectio-
3312. huius.

283[Figure 283] nes ſimiles ſunt. Et ſi quidem fuerint N E, P H æquales; ipſæ quoque
442. & 10.
huius. æquales erunt, alias non; Et hoc erat propoſitum.

Notæ in Propoſit. XXV.

SI abſcindant conum aliquem duo plana parallela prouenient duæ ſe-
55a ctiones hyperbolicæ, vel quia duæ ſectiones ſunt ſimiles, & c. Quæ,
immutanda cenſui vt in textu videre eſt.

Sint abſciſſiones duorum planorum æquidiſtantium cum baſi I G, F D,
66b& ſecet conum planum tranſiens per eius axim, & c. Addidi verba, quæ
in textu d ſiderantur, quæ expoſitionem perſiciunt. Animaduertendum eſt, hanc
propoſitionem conuertibilem non eſſe; licet enim plana parallela in eodem cono
eſſiciant ſectiones ſimiles, verum non eſt, quod quotieſcunque in eodem cono

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