Scaife ATLAS

CTS Library / Scholia in Euclidis catoptrica (scholia vetera)

Scholia in Euclidis catoptrica (scholia vetera) (32-34)

urn:cts:greekLit:tlg5022.tlg005.1st1K-grc1:32-34
Refs {'start': {'reference': '32', 'human_reference': 'Section 32'}, 'end': {'reference': '34', 'human_reference': 'Section 34'}}
Ancestors []
Children []
prev
plain textXML
next

32. Ἔστι δὲ καὶ ἐλάσσων p. 322, 20 ἐπειδὴ μὲν ὑπὸ ΒΓΚ ἴση τῇ ὑπὸ ΘΓΕ κατὰ κορυφὴν γάρ· δὲ ὑπὸ ΘΓΕ ἐλάσσων τῆς ἐκτὸς τριγώνου τοῦ ΘΓΕ.

33. αὐτή p. 324, 12 τουτέστιν ἀπὸ τῆς μείζονος σφαίρας· δυνατὸν γὰρ καὶ κατὰ πλείονας ἀκτῖνας
ὁρᾶν.

34. Τοῦτο δὲ ἐπάνω p. 324, 15 ἐν αὐτῷ ἄρα τῷ θεωρήματι ἀπὸ τῶν διχοτομιῶν τῶν γωνιῶν.

Tokens

32 1 w 2
Ἔστι 1 w 7
δὲ 1 w 9
καὶ 1 w 12
ἐλάσσων 1 w 19
p 1 w 20
322 1 w 24
20 1 w 27
ἐπειδὴ 1 w 33
1 w 34
μὲν 1 w 37
ὑπὸ 1 w 40
ΒΓΚ 1 w 43
ἴση 1 w 46
τῇ 1 w 48
ὑπὸ 2 w 51
ΘΓΕ 1 w 54
κατὰ 1 w 58
κορυφὴν 1 w 65
γάρ 1 w 68
2 w 70
δὲ 2 w 72
ὑπὸ 3 w 75
ΘΓΕ 2 w 78
ἐλάσσων 2 w 85
τῆς 1 w 88
ἐκτὸς 1 w 93
τριγώνου 1 w 101
τοῦ 1 w 104
ΘΓΕ 3 w 107
33 1 w 110
αὐτή 1 w 115
p 2 w 116
324 1 w 120
12 1 w 123
τουτέστιν 1 w 132
3 w 133
ἀπὸ 1 w 136
τῆς 2 w 139
μείζονος 1 w 147
σφαίρας 1 w 154
δυνατὸν 1 w 162
γὰρ 1 w 165
καὶ 2 w 168
κατὰ 2 w 172
πλείονας 1 w 180
ἀκτῖνας 1 w 187
ὁρᾶν 1 w 191
34 1 w 194
Τοῦτο 1 w 200
δὲ 3 w 202
ἐπάνω 1 w 207
p 3 w 208
324 2 w 212
15 1 w 215
ἐν 1 w 217
αὐτῷ 1 w 221
ἄρα 1 w 224
τῷ 2 w 226
θεωρήματι 1 w 235
ἀπὸ 2 w 238
τῶν 1 w 241
διχοτομιῶν 1 w 251
τῶν 2 w 254
γωνιῶν 1 w 260