Full text: Pergaeus, Apollonius: Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi

Apollonij Pergæi inter ſe: hi autem anguli inclinationes ſunt axium conorum ad ſuas baſes; igi-
tur axes A Y, & D Z æque ſunt inclinati ad ſuas baſes: ſuntque proportiona-
les ad baſium ſemidiametros Y B, & Z E ( cum triangula A B Y, D E Z ſi-
milia oſtenſa ſint ); igitur coni A B C, & D E F ſimiles ſunt inter ſe. Quod
erat oſtendendum.

235.1.

0268-01
Defin. 8.
huius.

Data parabola Z duos conos ſimiles exhibere, vt idem planum ef-
ficiat in eis duas parabolas æquales eidem datæ parabolæ, quæ asympto-
ticæ ſint, & ſibi ipſis viciniores fiant diſtantia minore quacunque
data.

235.1.

PROP.
11.
Addit.
0268-02

In quolibet plano fiat angulus I H C æqualis angulo inclinationis diametri,
& baſis parabolæ Z , & per H C extenſo alio quolibet plano ducatur in eo B H
G perpendicularis ad X H C; & fiat quodlibet triangulum H G K, & vt qua-
dratum H G ad rectangulum H K G, ita fiat latus rectum parabolæ Z ad pro-

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