헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

αἱ ἄρα ΑΗ, ΗΒ ῥηταί εἰσι δυνάμει μόνον σύμμετροι.
(유클리드, Elements, book 10, type Prop 3408)
καὶ τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον παρὰ τὴν ΓΔ παραβεβλήσθω τὸ ΓΘ, τῷ δὲ ἀπὸ τῆσ ΒΗ τὸ ΚΛ.
(유클리드, Elements, book 10, type Prop 3409)
ὅλον ἄρα τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ·
(유클리드, Elements, book 10, type Prop 3410)
λοιπὸν ἄρα τὸ ΖΛ ἴσον ἐστὶ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3412)
ἑκάτερον ἄρα τῶν ΖΞ, ΛΝ ἴσον ἐστὶ τῷ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3414)
καὶ ἐπεὶ τὰ ἀπὸ τῶν ΑΗ, ΗΒ ῥητά ἐστιν, καί ἐστι τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ ἴσον τὸ ΔΜ, ῥητὸν ἄρα ἐστὶ τὸ ΔΜ.
(유클리드, Elements, book 10, type Prop 3415)
πάλιν, ἐπεὶ μέσον ἐστὶ τὸ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ, καὶ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ ἴσον τὸ ΖΛ, μέσον ἄρα τὸ ΖΛ.
(유클리드, Elements, book 10, type Prop 3418)
καὶ ἐπεὶ τὰ μὲν ἀπὸ τῶν ΑΗ, ΗΒ ῥητά ἐστιν, τὸ δὲ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ μέσον, ἀσύμμετρα ἄρα ἐστὶ τὰ ἀπὸ τῶν ΑΗ, ΗΒ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3421)
καὶ τοῖσ μὲν ἀπὸ τῶν ΑΗ, ΗΒ ἴσον ἐστὶ τὸ ΓΛ, τῷ δὲ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ τὸ ΖΛ·
(유클리드, Elements, book 10, type Prop 3422)
Ἐπεὶ γὰρ τῶν ἀπὸ τῶν ΑΗ, ΗΒ μέσον ἀνάλογόν ἐστι τὸ ὑπὸ τῶν ΑΗ, ΗΒ, καί ἐστι τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον τὸ ΓΘ, τῷ δὲ ἀπὸ τῆσ ΒΗ ἴσον τὸ ΚΛ, τῷ δὲ ὑπὸ τῶν ΑΗ, ΗΒ τὸ ΝΛ, καὶ τῶν ΓΘ, ΚΛ ἄρα μέσον ἀνάλογόν ἐστι τὸ ΝΛ·
(유클리드, Elements, book 10, type Prop 3430)
καὶ ἐπεὶ σύμμετρόν ἐστι τὸ ἀπὸ τῆσ ΑΗ τῷ ἀπὸ τῆσ ΗΒ, σύμμετρόν [ἐστι] καὶ τὸ ΓΘ τῷ ΚΛ.
(유클리드, Elements, book 10, type Prop 3435)
αἱ ἄρα ΑΗ, ΗΒ μέσαι εἰσὶ δυνάμει μόνον σύμμετροι ῥητὸν περιέχουσαι.
(유클리드, Elements, book 10, type Prop 3447)
καὶ τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον παρὰ τὴν ΓΔ παραβεβλήσθω τὸ ΓΘ πλάτοσ ποιοῦν τὴν ΓΚ, τῷ δὲ ἀπὸ τῆσ ΗΒ ἴσον τὸ ΚΛ πλάτοσ ποιοῦν τὴν ΚΜ·
(유클리드, Elements, book 10, type Prop 3448)
ὅλον ἄρα τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ·
(유클리드, Elements, book 10, type Prop 3449)
καὶ ἐπεὶ τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ, ὧν τὸ ἀπὸ τῆσ ΑΒ ἴσον ἐστὶ τῷ ΓΕ, λοιπὸν ἄρα τὸ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ ἴσον ἐστὶ τῷ ΖΛ.
(유클리드, Elements, book 10, type Prop 3453)

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