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

Page concordance

Scan	Original
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92
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

241203Conicor. Lib. VI.

274[Figure 274]

Notæ in Propoſit. XXI.

QVoniam G B ad B I, ſuppoſita eſt vt H E ad E K, & c. Quia L B
11a ad B G ex bypotheſi erat, vt M E ad E H, & inuertendo G B ad B I
erat vt H E ad E K; ergo ex æqualitate L B ad B I erit vt M E
ad E K; & per conuerſionem rationis B L ad L I erit vt E M ad M K.

Et propter ſimilitudinem duarum ſectionum N L ad A I, nempe L O
22b ad O I eſt, vt P M ad F K, nempe M Q ad Q K, & c. Quoniam duæ ſe-
ctiones N B, & P E ſimiles ſuppoſitæ ſunt, & axiũ abſciſſæ L B, M E, nec non
I B, K E ad latera recta B G,

275[Figure 275]Cc 2& H E proportionales ſunt; igitur N L ad A I eandem 33ex 12.
huius. portionem habebit, quàm P M ad D K: & quia triangula N L O, & A I O ſimilia ſunt pro- pter parallelas N L, & I A, pariterque triangula P M Q,& D K Q ſimilia ſunt; igitur L O ad O I erit vt N L ad I A; pariterque M Q ad Q K erit vt P M ad D I, ſeu vt N L ad A I: & propterea L O ad O I erit vt M Q ad QK.

Et ex æqualitate L O ad
44c L B erit vt Q M ad M E, ſed
L B ad L N eſt vt M E ad
M P, cum ex ſuppoſitione
ſectiones ſint ſimiles, &

Page concordance

Text layer

Text normalization

Search

Scan	Original
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92
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

Scan	Original
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92
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

Scan	Original
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92
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