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Scholia in Euclidis catoptrica (scholia vetera) (39)

urn:cts:greekLit:tlg5022.tlg005.1st1K-grc1:39
Refs {'start': {'reference': '39', 'human_reference': 'Section 39'}}
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39. Ἀνακλωμένη ἥξει p. 330, 10 ἐπεὶ γὰρ δύο αἱ ΒΖΓ δυσὶν ταῖς ΕΖΓ ἴσαι καὶ γωνία γωνίᾳ, καὶ
πάντα πᾶσιν· ὥστε καὶ ὑπὸ ΒΓΖ ἴση τῇ ὑπὸ ΖΓΕ. ἐπεὶ οὖν ὅλη τοῦ ἡμικυκλίου ὑπὸ ΑΓΖ ὅλῃ τῇ ὑπὸ ΖΓ ἴση, ἐξ ὧν ὑπὸ ΒΓΖ ἴση τῇ ὑπὸ ΖΓΕ, λοιπὴ ἄρα ὑπὸ ΑΓΒ λοιπῇ τῇ ὑπὸ ΕΓ ἴση. ἥξει ἄρα ΒΓ ὄψις ἐπὶ τὸ Ε.


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39 1 w 2
Ἀνακλωμένη 1 w 13
ἥξει 1 w 17
p 1 w 18
330 1 w 22
10 1 w 25
ἐπεὶ 1 w 29
γὰρ 1 w 32
δύο 1 w 35
αἱ 1 w 37
ΒΖΓ 1 w 40
δυσὶν 1 w 45
ταῖς 1 w 49
ΕΖΓ 1 w 52
ἴσαι 1 w 56
καὶ 1 w 59
γωνία 1 w 64
γωνίᾳ 1 w 69
καὶ 2 w 73
πάντα 1 w 78
πᾶσιν 1 w 83
ὥστε 1 w 88
καὶ 3 w 91
1 w 92
ὑπὸ 1 w 95
ΒΓΖ 1 w 98
ἴση 1 w 101
τῇ 1 w 103
ὑπὸ 2 w 106
ΖΓΕ 1 w 109
ἐπεὶ 2 w 114
οὖν 1 w 117
ὅλη 1 w 120
2 w 121
τοῦ 1 w 124
ἡμικυκλίου 1 w 134
ὑπὸ 3 w 137
ΑΓΖ 1 w 140
ὅλῃ 1 w 143
τῇ 2 w 145
ὑπὸ 4 w 148
ΖΓ 4 w 150
ἴση 2 w 153
ἐξ 1 w 156
ὧν 1 w 158
4 w 159
ὑπὸ 5 w 162
ΒΓΖ 2 w 165
ἴση 3 w 168
τῇ 3 w 170
ὑπὸ 6 w 173
ΖΓΕ 2 w 176
λοιπὴ 1 w 182
ἄρα 1 w 185
5 w 186
ὑπὸ 7 w 189
ΑΓΒ 1 w 192
λοιπῇ 1 w 197
τῇ 4 w 199
ὑπὸ 8 w 202
ΕΓ 1 w 204
ἴση 4 w 207
ἥξει 2 w 212
ἄρα 2 w 215
6 w 216
ΒΓ 3 w 218
ὄψις 1 w 222
ἐπὶ 1 w 225
τὸ 1 w 227
Ε 5 w 228