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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[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)
[51.] NOTÆ.
Page: 63 (25)
[52.] SECTIO QVINTA Continens XI. Propoſit. Apollonij.
Page: 64 (26)
[53.] NOTÆ.
Page: 64 (26)
[54.] SECTIO SEXTA Continens Propoſit. XIII. XIV. XV. Apollonij.
Page: 65 (27)
[55.] NOTÆ.
Page: 66 (28)
[56.] SECTIO SEPTIMA Continens XXVI. XXVII. XXVIII. Propoſ. Apollonij. PROPOSITIO XXVI. & XXVII.
Page: 67 (29)
[57.] PROPOSITIO XXVIII.
Page: 67 (29)
[58.] NOTÆ.
Page: 68 (30)
[59.] LEMMA V.
Page: 68 (30)
[60.] LEMMA. VI.
Page: 69 (31)
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424Apollonij Pergæi mentum axis D B ad D R, & compleatur
parallelogrãmum rectãgulum B R, tunc ſpa-
tium B R vocatur Exemplar. Pari ratione
ſi, vt G B ad D P ità fiat ſegmentum axis
D K ad latitudinem K S, compleaturque
parallelogrammum rectangulum D S, voca-
bitur paritèr D S Exemplar.
4[Figure 4]
X. Et ſi C D perpendicularis fuerit ad
axim B D, & producatur vltrà axim in
E, atquè à puncto E extendantur vſquè ad
ſectionem rectæ lineæ E B, E F, E G, vo-
cabitur E punctum Concurſus.
XI. Et lineæ rectæ E B, E F, E G vo-
cantur etiam Rami.
5[Figure 5]
VII. Atquè linea recta E F ſecans axim
in H vocatur Ramus ſecans.
XIII. Et recta linea E B conueniens
cum axi in vertice ſectionis vocatur Ra-
mus terminatus.
XIV. Si verò rami ſecantis E F por-
tio cius H F inter ſectionem, & axim in-
tercepta fuerit breuiſsima omnium linea-
rum, quæ ex puncto H ad ſectionem duci
poſſunt, tunc ramus E F vocabitur Breui-
ſecans. In textu Arabico ſecans ramus vo-
cabatur, mendosè, vt arbitror, non enim
hæc definitio diſtingueretur à duodecima,
definitione.
6[Figure 6]
XV. Similitèr ſegmentum axis D B ſe-
ctum à perpendiculari ad axim ex origine
E ducta, vocatur quoquè Menſura.
XVI. Tandem ſi per punctum originis
D, vel concurſus E ducatur ordinata A C,
tunc figura contenta ab ordinata A C, &
ſectione conica A B C, vocatur Segmentum
illius puncti.

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