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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268230Apollonij Pergæi

315[Figure 315] 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-
11Defin. 8.
huius. milia oſtenſa ſint ); igitur coni A B C, & D E F ſimiles ſunt inter ſe. Quod
erat oſtendendum.

Data parabola Z duos conos ſimiles exhibere, vt idem planum ef-
22PROP.
11.
Addit. ficiat in eis duas parabolas æquales eidem datæ parabolæ, quæ asympto-
ticæ ſint, & ſibi ipſis viciniores fiant diſtantia minore quacunque
data.

316[Figure 316]

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

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