헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

Ἐπεὶ γὰρ ἴση ἐστὶν ἡ ΗΘ τῇ ΘΕ, κοινὴ δὲ ἡ ΘΓ, δύο δὴ αἱ ΗΘ, ΘΓ δύο ταῖσ ΕΘ, ΘΓ ἴσαι εἰσὶν ἑκατέρα ἑκατέρᾳ·
(유클리드, Elements, book 1, type Prop145)
τῷ δὲ ἀπὸ τῆσ ΗΘ ἴσα ἐστὶ τὰ ἀπὸ τῶν ΘΕ, ΕΗ τετράγωνα·
(유클리드, Elements, book 2, type Prop317)
τὸ ἄρα ὑπὸ τῶν ΒΕ, ΕΖ μετὰ τοῦ ἀπὸ ΗΕ ἴσα ἐστὶ τοῖσ ἀπὸ τῶν ΘΕ, ΕΗ.
(유클리드, Elements, book 2, type Prop318)
τὸ ἄρα ΒΔ παραλληλόγραμμον ἴσον ἐστὶ τῷ ἀπὸ τῆσ ΘΕ τετραγώνῳ.
(유클리드, Elements, book 2, type Prop323)
ἐπεὶ οὖν ἴση ἐστὶν ἡ ΗΕ τῇ ΕΘ, κοινὴ δὲ ἡ ΕΖ, δύο δὴ αἱ ΗΕ, ΕΖ δυσὶ ταῖσ ΘΕ, ΕΖ ἴσαι εἰσίν·
(유클리드, Elements, book 3, type Prop116)
ἔστιν ἄρα ὡσ τὸ ΑΗ πρὸσ τὸ ΗΒ, οὕτωσ τὸ ΔΘ πρὸσ τὸ ΘΕ.
(유클리드, Elements, book 5, type Prop380)
καὶ ἐπεὶ τριγώνου τοῦ ΔΚΓ παρὰ μίαν τῶν πλευρῶν τὴν ΚΓ εὐΘΕῖα ἦκται ἡ ΘΕ, ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΓΕ πρὸσ τὴν ΕΔ, οὕτωσ ἡ ΚΘ πρὸσ τὴν ΘΔ.
(유클리드, Elements, book 6, type Prop210)
εἰ δὲ οὔ, μεῖζον ἔστω τὸ ΘΕ τοῦ Γ.
(유클리드, Elements, book 6, type Prop559)
ἴσον δὲ τὸ ΘΕ τῷ ΗΒ·
(유클리드, Elements, book 6, type Prop560)
διῃρήσθω ὁ μὲν ΑΒ εἰσ τὰ τοῦ Γ μέρη τὰ ΑΗ, ΗΒ, ὁ δὲ ΔΕ εἰσ τὰ τοῦ Ζ μέρη τὰ ΔΘ, ΘΕ·
(유클리드, Elements, book 7, type Prop140)
ἔσται δὴ ἴσον τὸ πλῆθοσ τῶν ΑΗ, ΗΒ τῷ πλήΘΕι τῶν ΔΘ, ΘΕ.
(유클리드, Elements, book 7, type Prop141)
διὰ τὰ αὐτὰ δὴ καὶ ὃ μέροσ ἐστὶν ὁ ΗΒ τοῦ Γ, τὸ αὐτὸ μέροσ ἐστὶ καὶ συναμφότεροσ ὁ ΗΒ, ΘΕ συναμφοτέρου τοῦ Γ, Ζ.
(유클리드, Elements, book 7, type Prop143)
διῃρήσθω ὁ μὲν ΑΒ εἰσ τὰ τοῦ Γ μέρη τὰ ΑΗ, ΗΒ, ὁ δὲ ΔΕ εἰσ τὰ τοῦ Ζ μέρη τὰ ΔΘ, ΘΕ·
(유클리드, Elements, book 7, type Prop195)
ἔσται δὴ ἴσον τὸ πλῆθοσ τῶν ΑΗ, ΗΒ τῷ πλήΘΕι τῶν ΔΘ, ΘΕ.
(유클리드, Elements, book 7, type Prop196)
διὰ τὰ αὐτὰ δὴ καί, ὃ μέροσ ἐστὶν ὁ ΗΒ τοῦ ΘΕ ἢ μέρη, τὸ αὐτὸ μέροσ ἐστὶ καὶ ὁ Γ τοῦ Ζ ἢ τὰ αὐτὰ μέρη·
(유클리드, Elements, book 7, type Prop198)

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