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
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

174136Apollonij Pergæi

IV. Et ſi in eodem ſegmento ducantur or-

172[Figure 172] dinatæ parallelæ baſi B C, atque recta linea
A M ſecet omnes æquidiſtantes ipſi B C bifa-
riam in punctis M, N, & O vocabitur A M:
Diameter eiuſdem ſegmenti.

V. Et terminus eiuſdem diametri A ad
ſectionem poſitus, vocatur Vertex ſegmenti.

Tres prædictæ definitiones ſuperadditæ ab
interprete Arabico fuerunt, vt ego puto, quandoquidem omnino neceſſariæ non
ſunt.

VI. Sicuti in prima definitione ſectiones ſibi mutuò congruentes æquales vo-
cabantur, ſic pariter, ſi ſegmentum B A C ſuperpoſitum ſegmento E D F ſibi
mutuò congruant, ſunt duæ illæ lineæ curuæ æquales inter ſe.

VII. Declarat Apollonius in hac definitio-

173[Figure 173] ne ſeptima, quænam ſegmenta conica ſimilia
inter ſe cenſeri debeant. Vt ſi fuerint dua-
rum conicarum ſectionum ſegmenta B A C,
& E D F, quarum diametri A M, & D L
eſſiciant cum ordinatim applicatis, ſeu cum
baſibus B C, & E F angulos æquales in M,
& L, & in vnaquaque earum ductæ fuerint
pares multitudines applicatarum, quæ ſint ba-
ſibus æquidiſtantes, vt G H, & I K, & in
eis veriſicentur hæ conditiones, vt habeat B
C ad abſciſſam M A eandem proportionem,
quàm E F ad abſcißam L D, & G H ad ab-
ciſſam N A eandem proportionem habeat,
quàm I K ad abciſsam O D, & tandem ab-
ciſsa M A ad abſciſſam A N eandem propor-
tionem habeat, quàm abſcißa L D ad abſciſ-
ſam D O; tunc quidem vocat Apollonius duo
ſegmenta B A C, & E D F ſimilia inter ſe. Et hic primo animaduertendum
eſt, dìfinitionem ſegmentorum ſimilium relatam ab Eutocio Aſcalonita in 3. prop.
lib. 2. æquipond. Archimedis, non eße integram: in ea enim deſiderantur illa
verba, quarum baſes cumdiametris continent angulos æquales, ſine quibus
definitio eſſet erro-

174[Figure 174] nea, vt optime notat
Mydorgius. Hoc au-
tem ita eße verba
textus Arabici aper-
te declarant, habent
enim. Et ſimilia
ſunt quorum baſes
continent cum dia
metris angulos re-
ctos legẽdum

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