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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435Conicor. Lib. V.

SECTIO PRIMA

Continens propoſitiones I. II. & III. Apollonij.

PROPOSITIO I.

Si ex centro D ſectionis A B (habentis centrum) egrediatur
linea recta D F H bifariam diuidens A E erectum illius axis,
quod ſit perpendiculare ſuper axim C A G, ſecans axis ordina-
tionem B G I; vtiquè dimidium illius ordinationis, videlicet B
G, poterit duplum plani, quod producit illa linea cum axi in-
ter erectum, & illam ordinationem, nempè duplum A G H F.

7[Figure 7]

QVia B G poteſt comparatum applicatum ad abſciſſam A G, & pla-
11a num G F dimidium eſt illius comparati; ergò B G poterit duplum
22b plani G F; & hoc erat oſtendendum.

PROPOS. II.

8[Figure 8]

PAritèr quoquè oſtendetur, ſi potens
tranſierit per centrum ellipſis, quod
B G poterit duplum trianguli A F G.

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