헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

καὶ ἤχθωσαν διὰ τῶν Ε, Ζ, Η σημείων τῇ ΑΓ παράλληλοι αἱ ΕΘ, ΖΙ, ΗΚ·
(유클리드, Elements, book 10, type Prop 3273)
σύμμετροι ἄρα εἰσὶν αἱ ΑΖ, ΖΗ·
(유클리드, Elements, book 10, type Prop 3274)
σύμμετρον ἄρα κΑῚ τὸ ΑΙ τῷ ΖΚ.
(유클리드, Elements, book 10, type Prop 3275)
καὶ ἐπεὶ αἱ ΑΖ, ΖΗ σύμμετροί εἰσι μήκει, καὶ ἡ ΑΗ ἄρα ἑκατέρᾳ τῶν ΑΖ, ΖΗ σύμμετρόσ ἐστι μήκει.
(유클리드, Elements, book 10, type Prop 3276)
ὥστε καὶ αἱ ΑΖ, ΖΗ.
(유클리드, Elements, book 10, type Prop 3278)
ἑκάτερον ἄρα τῶν ΑΙ, ΖΚ μέσον ἐστίν.
(유클리드, Elements, book 10, type Prop 3279)
καὶ ἐπεὶ αἱ ΑΗ, ΗΔ δυνάμει μόνον σύμμετροί εἰσιν, ἀσύμμετροσ ἄρα ἐστὶ μήκει ἡ ΑΗ τῇ ΗΔ.
(유클리드, Elements, book 10, type Prop 3284)
ὡσ δὲ ἡ ΑΖ πρὸσ τὴν ΕΗ, οὕτωσ ἐστὶ τὸ ΑΙ πρὸσ τὸ ΕΚ·
(유클리드, Elements, book 10, type Prop 3287)
ἀσύμμετρον ἄρα ἐστὶ τὸ ΑΙ τῷ ΕΚ.
(유클리드, Elements, book 10, type Prop 3288)
Συνεστάτω οὖν τῷ μὲν ΑΙ ἴσον τετράγωνον τὸ ΛΜ, τῷ δὲ ΖΚ ἴσον ἀφῃρήσθω τὸ ΝΞ περὶ τὴν αὐτὴν γωνίαν ὂν τῷ ΛΜ·
(유클리드, Elements, book 10, type Prop 3289)
ἀλλ’ ὡσ μὲν ἡ ΑΖ πρὸσ τὴν ΕΗ, οὕτωσ ἐστὶ τὸ ΑΙ πρὸσ τὸ ΕΚ·
(유클리드, Elements, book 10, type Prop 3293)
κΑῚ ὡσ ἄρα τὸ ΑΙ πρὸσ τὸ ΕΚ, οὕτωσ τὸ ΕΚ πρὸσ τὸ ΖΚ·
(유클리드, Elements, book 10, type Prop 3295)
τῶν ἄρα ΑΙ, ΖΚ μέσον ἀνάλογόν ἐστι τὸ ΕΚ.
(유클리드, Elements, book 10, type Prop 3296)
κΑΊ ἐστιν ἴσον τὸ μὲν ΑΙ τῷ ΛΜ, τὸ δὲ ΖΚ τῷ ΝΞ·
(유클리드, Elements, book 10, type Prop 3298)
Ἐπεὶ γὰρ μέσα ἐδείχθη τὰ ΑΙ, ΖΚ κΑΊ ἐστιν ἴσα τοῖσ ἀπὸ τῶν ΛΟ, ΟΝ, μέσον ἄρα κΑῚ ἑκάτερον τῶν ἀπὸ τῶν ΛΟ, ΟΝ·
(유클리드, Elements, book 10, type Prop 3306)

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