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

Scan	Original
131	93
132	94
133	95
134	96
135	97
136	98
137	99
138	100
139	101
140	102
141	103
142	104
143	105
144	106
145	107
146	108
147	109
148	110
149	111
150	112
151	113
152	114
153	115
154	116
155	117
156	118
157	119
158	120
159	121
160	122

6628Apollonij Pergæi aut minor illa (7. ex quinto) eſ-
ſet linea breuiſſima A F, aut pars

41[Figure 41] illius, quod eſt falſum, igitur
maior eſt, quàm A C; & pro-
pterea A D ad A C maiorem
proportionem habet, quàm ad
A F; ponamus ergo, vt A D ad
A C, ita D G ad G F in hyper-
bola, & ellipſi; at in parabola
11b ponamus G F æqualem A C, &
ducatur ex G perpendicularis ad
ſectionem. Dico, quod ei oc-
curret ad B. Nam ſi occurrat
ſectioni ad aliud punctum, vt H co-

42[Figure 42] niuncta H F erit H F breuiſſima (8. 9.
10. ex quinto) ſed ſuppoſuimus B F eſſe
breuiſſimam, quod eſt abſurdum, ergo
perpendicularis occurrit ſectioni in B.
Et quia angulus B G F eſt rectus, erit
angulus B F G acutus, quod erat oſten-
dendum.

NOTÆ.

ET eius potentialis ſecet menſuram
in parabola, & c. Ideſt, & eius po-
22a

43[Figure 43] tentialis abſcindet ex menſura vſque ad originem,
in parabola quidem ſegmentum æquale compara-
tæ, & in hyperbola, & ellipſi lineam, ad quam
inuerſa eandem proporportionem habet, quam la-
tus tranſuerſum ad rectum.

Et ducatur ex G perpendicularis ad ſectio-
33b nem, & c. Et ducatur ex G recta linea perpendi-
cularis ad axim, & producatur vſque ad ſectio-
nem.

Page concordance

Text layer

Text normalization

Search

Scan	Original
131	93
132	94
133	95
134	96
135	97
136	98
137	99
138	100
139	101
140	102
141	103
142	104
143	105
144	106
145	107
146	108
147	109
148	110
149	111
150	112
151	113
152	114
153	115
154	116
155	117
156	118
157	119
158	120
159	121
160	122

Scan	Original
131	93
132	94
133	95
134	96
135	97
136	98
137	99
138	100
139	101
140	102
141	103
142	104
143	105
144	106
145	107
146	108
147	109
148	110
149	111
150	112
151	113
152	114
153	115
154	116
155	117
156	118
157	119
158	120
159	121
160	122

Scan	Original
131	93
132	94
133	95
134	96
135	97
136	98
137	99
138	100
139	101
140	102
141	103
142	104
143	105
144	106
145	107
146	108
147	109
148	110
149	111
150	112
151	113
152	114
153	115
154	116
155	117
156	118
157	119
158	120
159	121
160	122