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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281243Conicor. Lib. VI.

327[Figure 327] bent figuræ latera, ſcilicet, quàm habet D B ad B E. At quomoao duci de-
beat ſubtenſa K L quæ æqualis ſit ipſi D B, & parallela alteri F G, oſtendetur
inferius.

Et non reperitur in cono H F I alia ſectio hyperbolica ſuper F H, &
11b æqualis A B, & c. Addidi verba quæ ad huius textus integritatem facere vi-
debantur.

Et educamus T V, K L, quæ ſubtendant duos angulos L F K, I F
22c T, & ſint parallelæ ipſis F N, F S, & æquales D B, & c. Quomodo au-
tem hoc fieri poſſit modo oſtendemus. Sumatur in recta linea H F quodlibet
punctum c inter F, & H; atque à puncto c ducatur recta linea c d parallela
ipſi F N, vel F S, quæ ſecet productionem alterius lateris I F in d, & quàm
proportionem habet c d ad D B, eandem habeat C F ad F L, & per punctum
L ducatur recta L K parallela ipſi c d. Manifeſtum eſt c d ad L K eandem pro-
portionem habere, quàm c F ad F L, ſeu quàm c d ad B D; & ideo K L æ-
qualis erit B D, & ſubtendit angulum L F K, eſtque parallela ipſi c d, ſeu
ipſi F N, vel F S. Et hoc erat faciendum.

328[Figure 328]

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