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

Table of contents

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[21.] IX.
Page: 40 (2)
[22.] X.
Page: 40 (2)
[23.] XI.
Page: 40 (2)
[24.] XII.
Page: 40 (2)
[25.] XIII.
Page: 40 (2)
[26.] XIV.
Page: 40 (2)
[27.] XV.
Page: 40 (2)
[28.] XIV.
Page: 40 (2)
[29.] NOTÆ.
Page: 41 (3)
[30.] SECTIO PRIMA Continens propoſitiones I. II. & III. Apollonij. PROPOSITIO I.
Page: 43 (5)
[31.] PROPOS. II.
Page: 43 (5)
[32.] PROPOS. III.
Page: 44 (6)
[33.] Notæ in Propoſitionem primam.
Page: 44 (6)
[34.] Notæ in Propoſitionem ſecundam.
Page: 45 (7)
[35.] Notæ in Propoſitionem tertiam.
Page: 45 (7)
[36.] SECTIO SECVNDA Continens propoſitiones IV. V. VI. Apollonij.
Page: 45 (7)
[37.] PROPOSITIO IV.
Page: 46 (8)
[38.] PROPOSITIO V. & VI.
Page: 46 (8)
[39.] Notæ in pro poſitionem quartam.
Page: 47 (9)
[40.] Notæ in propoſitionem quintam.
Page: 48 (10)
[41.] MONITVM.
Page: 50 (12)
[42.] LEMMA I.
Page: 51 (13)
[43.] LEMMA II.
Page: 52 (14)
[44.] LEMMA III.
Page: 53 (15)
[45.] LEMMA IV.
Page: 53 (15)
[46.] SECTIO TERTIA Continens VIII. IX. X. Propoſ. Apollonij.
Page: 54 (16)
[47.] PROPOSITIO IX. & X.
Page: 56 (18)
[48.] Notæ in Propoſitionem VIII.
Page: 57 (19)
[49.] Notæ in Propoſitionem IX. & X.
Page: 59 (21)
[50.] SECTIO IV. Continens Propoſit. VII. & XII. Apollonij.
Page: 62 (24)
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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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