Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

καὶ γεγονέτω ὡσ ἡ ΑΒ πρὸσ ΓΔ, ἡ ΑΕ πρὸσ ΓΖ·
(유클리드, Elements, book 10, type Prop 2512)
σύμμετροσ ἄρα καὶ ἑκατέρα τῶν ΑΕ, ΕΒ ἑκατέρᾳ τῶν ΓΖ, ΖΔ.
(유클리드, Elements, book 10, type Prop 2515)
μέσαι δὲ αἱ ΑΕ, ΕΒ·
(유클리드, Elements, book 10, type Prop 2516)
καὶ ἐπεί ἐστιν ὡσ ἡ ΑΕ πρὸσ ΕΒ, ἡ ΓΖ πρὸσ ΖΔ, αἱ δὲ ΑΕ, ΕΒ δυνάμει μόνον σύμμετροί εἰσιν, καὶ αἱ ΓΖ, ΖΔ [ἄρα] δυνάμει μόνον σύμμετροί εἰσιν.
(유클리드, Elements, book 10, type Prop 2518)
Ἐπεὶ γάρ ἐστιν ὡσ ἡ ΑΕ πρὸσ ΕΒ, ἡ ΓΖ πρὸσ ΖΔ, καὶ ὡσ ἄρα τὸ ἀπὸ τῆσ ΑΕ πρὸσ τὸ ὑπὸ τῶν ΑΕΒ, οὕτωσ τὸ ἀπὸ τῆσ ΓΖ πρὸσ τὸ ὑπὸ τῶν ΓΖΔ·
(유클리드, Elements, book 10, type Prop 2522)
ἐναλλὰξ ὡσ τὸ ἀπὸ τῆσ ΑΕ πρὸσ τὸ ἀπὸ τῆσ ΓΖ, οὕτωσ τὸ ὑπὸ τῶν ΑΕΒ πρὸσ τὸ ὑπὸ τῶν ΓΖΔ.
(유클리드, Elements, book 10, type Prop 2523)
σύμμετρον δὲ τὸ ἀπὸ τῆσ ΑΕ τῷ ἀπὸ τῆσ ΓΖ·
(유클리드, Elements, book 10, type Prop 2524)
αἱ ΑΕ, ΕΒ ἄρα δυνάμει εἰσὶν ἀσύμμετροι ποιοῦσαι τὸ μὲν συγκείμενον ἐκ τῶν ἀπ’ αὐτῶν τετραγώνων ῥητόν, τὸ δ’ ὑπ’ αὐτῶν μέσον·
(유클리드, Elements, book 10, type Prop 2534)
καὶ ἐπεί ἐστιν ὡσ ἡ ΑΒ πρὸσ τὴν ΓΔ, οὕτωσ ἥ τε ΑΕ πρὸσ τὴν ΓΖ καὶ ἡ ΕΒ πρὸσ τὴν ΖΔ, καὶ ὡσ ἄρα ἡ ΑΕ πρὸσ τὴν ΓΖ, οὕτωσ ἡ ΕΒ πρὸσ τὴν ΖΔ.
(유클리드, Elements, book 10, type Prop 2536)
σύμμετροσ ἄρα καὶ ἑκατέρα τῶν ΑΕ, ΕΒ ἑκατέρᾳ τῶν ΓΖ, ΖΔ.
(유클리드, Elements, book 10, type Prop 2538)
καὶ ἐπεί ἐστιν ὡσ ἡ ΑΕ πρὸσ τὴν ΓΖ, οὕτωσ ἡ ΕΒ πρὸσ τὴν ΖΔ, καὶ ἐναλλὰξ ὡσ ἡ ΑΕ πρὸσ ΕΒ, οὕτωσ ἡ ΓΖ πρὸσ ΖΔ, καὶ συνθέντι ἄρα ἐστὶν ὡσ ἡ ΑΒ πρὸσ τὴν ΒΕ, οὕτωσ ἡ ΓΔ πρὸσ τὴν ΔΖ·
(유클리드, Elements, book 10, type Prop 2539)
ὁμοίωσ δὴ δείξομεν, ὅτι καὶ ὡσ τὸ ἀπὸ τῆσ ΑΒ πρὸσ τὸ ἀπὸ τῆσ ΑΕ, οὕτωσ τὸ ἀπὸ τῆσ ΓΔ πρὸσ τὸ ἀπὸ τῆσ ΓΖ.
(유클리드, Elements, book 10, type Prop 2541)
καὶ ὡσ ἄρα τὸ ἀπὸ τῆσ ΑΒ πρὸσ τὰ ἀπὸ τῶν ΑΕ, ΕΒ, οὕτωσ τὸ ἀπὸ τῆσ ΓΔ πρὸσ τὰ ἀπὸ τῶν ΓΖ, ΖΔ·
(유클리드, Elements, book 10, type Prop 2542)
καὶ ἐναλλὰξ ἄρα ἐστὶν ὡσ τὸ ἀπὸ τῆσ ΑΒ πρὸσ τὸ ἀπὸ τῆσ ΓΔ, οὕτωσ τὰ ἀπὸ τῶν ΑΕ, ΕΒ πρὸσ τὰ ἀπὸ τῶν ΓΖ, ΖΔ.
(유클리드, Elements, book 10, type Prop 2543)
σύμμετρα ἄρα καὶ τὰ ἀπὸ τῶν ΑΕ, ΕΒ τοῖσ ἀπὸ τῶν ΓΖ, ΖΔ.
(유클리드, Elements, book 10, type Prop 2545)

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