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

271233Conicor. Lib. VI. parallela conſeruantur; igitur duæ ſectiones K H M, & L X S, exiſtentes in
eodem plano ſecante duas ſuperficies, quæ licet in infinitum producantur vbique
ſeparatæ ſunt, erunt aſymptoticæ. Quartò, quia duæ hyperbolæ H K M, & L
X S ſunt æquales, ſimiles, & ſimiliter poſitæ circa communem diametrum H X
11Prop. 7.
addit. I, earum diſtantiæ ſemper magis, ac magis diminuuntur; nunquam tamen mi-
nores efſici poſſunt interuallo duarum æquidiſtantium, hyperbolas continentium.
Et hoc erat propoſitum.

Data hyperbola X duos conos ſimiles exhibere vt idem planum in eis
22PROP.
13.
Addit. efficiat duas hyperbolas ſimiles, & æquales datæ, quæ aſymptoticæ ſint,
& ex vna parte ſibi ipſis viciniores fiant interuallo minori quolibet da-
to: ex altera verò parte ad ſe ipſas propius accedant interuallo tamen
maiore dato: oportet autem vt angulus ab aſymptotis ſectionis X con-
tentus ſit acutus.

318[Figure 318]

In quolibet @l@no fiat angulus A d O æqualis angulo inclinationis diametri,
& baſis hyperb l@ X; & per o d extenſo quolibet alio planol, ducatur in eo re-
cta linea B d C perpendicularis ad O d G, & ſumpto quolibet alio puncto b in
recta linea G O in plano per B G C O ducto, centris d, & b deſcribantur

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