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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237199Conicor. Lib. VI. dem lineæ perpendiculares ſunt ad præ-

269[Figure 269] dictas chordas, ſuntque etiam diametri
ſectionis, ergo I K, L M, N O ſunt axes,
nec ſibi in directum coincidunt; quia
chordæ primo eductæ inter ſe parallelæ
non erant: hoc autem eſt abſurdum,
quia in qualibet ſectione reperiri non
poſſunt plures, quàm duo axes (52. ex
1148. lib. 2.2.) ; ergo fieri non poteſt, vt ſectionis
conicæ portio ſit arcus circuli. Quod
erat oſtendendum.

Notæ in Propoſit. XX.

QVodlibet duorum ſegmentorum, vt A B C, D E F in duobus ſeg-
22a mentis ſimilibus, vt N A C, P D F abſciſſa ſint ab ordinatis duo-
rum axium ſectionum, vt A C, D F, N L, P M, A M, A S,
K M ad latus ſuarum verticum vt B, E; ſitque proportio earum abſciſ-
ſarum ad erecta duorum ſegmentorum eadem, nempe I B ad B G, vt K
E ad E H, & L B ad B G, vt M E ad E H: vtique duo ſegmenta A B
C, D E F, N B, P E ſimilia ſunt, & ſimilia poſitione: & c. Textus hic

270[Figure 270] adeo corruptus eſt, vt ne Apollonius quidem, ſi reuiuiſceret, ſenſum ex verbis
tam inconcinnis, & non coherentibus elicere poſſet. Itaque diuinando eam eſſe
veram lectionem cenſeo; quàm in textu appoſui.

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