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
101	63
102	64
103	65
104	66
105	67
106	68
107	69
108	70
109	71
110	72
111	73
112	74
113	75
114	76
115	77
116	78
117	79
118	80
119	81
120	82
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92

217179Conicor. Lib. VI.

241[Figure 241] vt Y c in c F ad quadratum C c ( 39. ex 1. ) quæ habent eandem pro-
1137. lib. I.
12. huius. portionem, quàm figuræ axis habent, & angulus F ſuppoſitus eſt æqualis
E: ergò Y c C ſimile eſt V a A: & propterea angulus Y æqualis eſt V,
22b336. præmiſ.
huius.& angulus F C Y æqualis E A V: & propter ſimilitudinem N D Y, L B
V æquales ſunt duo anguli C N S, A L R; ergo ſimilia ſunt C N S, A L
R. Quare C S aſſumpta ad ei coniugatam C N eſt vt R A ad A L: & po-
namus C Q ad duplam C F, vt C S ad C N, nec non A P ad duplam
A E, vt A R ad A L; igitur Q C, A P ſunt erecti duarum diametrorum
C Y X, A V T ( 53. 54. ex I. ) ſed C F ad C X duplam ipſius C Y eſt
4450. lib. I. vt A E ad A T duplam ipſius A V, propter ſimilitudinem C F Y, A E V:
ergo ex æqualitate Q C ad C X diametrum inclinatam, ſeu tranſuerſam
eſt vt A P ad A T; & propterea figuræ earundem diametrorumſunt ſimi-
55c les, & quia CO

242[Figure 242] ad C F ſuppoſi-
ta eſt, vt A M
ad A E: ergo ex
æqualitate Q C
ad C O eſt, vt
P A ad A M:
Quare potentes
ad duo eius ab-
ſciſſa C O, A M,
à quibus diuidũ-
tur bifariam, eã-
dem proportio-
nem habent: &
proportio

Page concordance

Text layer

Text normalization

Search

Scan	Original
101	63
102	64
103	65
104	66
105	67
106	68
107	69
108	70
109	71
110	72
111	73
112	74
113	75
114	76
115	77
116	78
117	79
118	80
119	81
120	82
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92

Scan	Original
101	63
102	64
103	65
104	66
105	67
106	68
107	69
108	70
109	71
110	72
111	73
112	74
113	75
114	76
115	77
116	78
117	79
118	80
119	81
120	82
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92

Scan	Original
101	63
102	64
103	65
104	66
105	67
106	68
107	69
108	70
109	71
110	72
111	73
112	74
113	75
114	76
115	77
116	78
117	79
118	80
119	81
120	82
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92