Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

ὥστε καί [ὃ μέροσ ἐστὶν ὁ ΑΗ τοῦ ΔΘ ἢ μέρη, τὸ αὐτὸ μέροσ ἐστὶ καὶ ὁ ΗΒ τοῦ ΘΕ ἢ τὰ αὐτὰ μέρη·
(유클리드, Elements, book 7, type Prop199)
ῥητὴ ἄρα ἐστὶν ἑκατέρα τῶν ΘΕ, ΕΗ καὶ ἀσύμμετροσ τῇ ΕΖ μήκει.
(유클리드, Elements, book 10, type Prop 1547)
ῥητὴ ἄρα ἐστὶν ἡ ΘΕ καὶ ἀσύμμετροσ τῇ ΕΖ μήκει.
(유클리드, Elements, book 10, type Prop 1969)
ἐπεὶ γὰρ ἀσύμμετρόσ ἐστιν ἡ ΑΗ τῇ ΗΕ, ἀσύμμετρον ἄρα ἐστὶ καὶ τὸ ΑΘ τῷ ΘΕ, τουτέστι τὸ ἀπὸ τῆσ ΜΝ τῷ ἀπὸ τῆσ ΝΞ·
(유클리드, Elements, book 10, type Prop 2296)
καί ἐστιν ἡ μείζων ἡ ΘΕ σύμμετροσ τῇ ἐκκειμένῃ ῥητῇ τῇ ΕΖ·
(유클리드, Elements, book 10, type Prop 2598)
ἀλλὰ δὴ ἡ ΘΚ τῆσ ΘΕ μεῖζον δυνάσθω τῷ ἀπὸ ἀσυμμέτρου ἑαυτῇ.
(유클리드, Elements, book 10, type Prop 2622)
ἔστιν ἄρα ὡσ ἡ ΓΒ πρὸσ τὴν ΒΔ, οὕτωσ ἡ ΘΕ πρὸσ τὴν ΕΖ·
(유클리드, Elements, book 10, type Prop 3784)
ὥστε καὶ ἡ ΘΕ τῇ ΕΚ σύμμετρόσ ἐστι μήκει.
(유클리드, Elements, book 10, type Prop 3795)
καὶ ἐπεί ἐστιν ὡσ ἡ ΓΒ πρὸσ ΒΔ, οὕτωσ ἡ ΘΚ πρὸσ ΚΕ, ἀναστρέψαντι ἄρα ἐστὶν ὡσ ἡ ΒΓ πρὸσ τὴν ΓΔ, οὕτωσ ἡ ΚΘ πρὸσ ΘΕ.
(유클리드, Elements, book 10, type Prop 3831)
γεγονέτω ὡσ ἡ ΚΘ πρὸσ ΘΕ, οὕτωσ ἡ ΘΖ πρὸσ ΖΕ·
(유클리드, Elements, book 10, type Prop 3832)
καὶ λοιπὴ ἄρα ἡ ΚΖ πρὸσ ΖΘ ἐστιν, ὡσ ἡ ΚΘ πρὸσ ΘΕ, τουτέστιν [ὡσ] ἡ ΒΓ πρὸσ ΓΔ.
(유클리드, Elements, book 10, type Prop 3833)
καὶ ἐπεί ἐστιν ὡσ ἡ ΚΘ πρὸσ ΘΕ, ἡ ΚΖ πρὸσ ΖΘ, ἀλλ’ ὡσ ἡ ΚΘ πρὸσ ΘΕ, ἡ ΘΖ πρὸσ ΖΕ, καὶ ὡσ ἄρα ἡ ΚΖ πρὸσ ΖΘ, ἡ ΘΖ πρὸσ ΖΕ·
(유클리드, Elements, book 10, type Prop 3836)
καὶ ἐπεὶ πάλιν ἴση ἐδείχθη ἡ ΗΕ τῇ ΕΘ, κοινὴ δὲ ἡ ΕΖ, δύο δὴ αἱ ΗΕ, ΕΖ δυσὶ ταῖσ ΘΕ, ΕΖ ἴσαι εἰσίν·
(유클리드, Elements, book 11, type Prop49)
Ἐκβεβλήσθωσαν γὰρ ἐπ’ εὐΘΕίασ ταῖσ ΑΕ, ΗΕ, ΘΕ αἱ ΕΚ, ΕΛ, ΕΜ, καὶ κείσθω τῇ μὲν ΓΖ ἴση ἡ ΕΚ, τῇ δὲ ΖΝ ἴση ἡ ΕΛ, καὶ ἔτι τῇ ΖΡ ἴση ἡ ΕΜ, καὶ συμπεπληρώσθω τὸ ΚΛ παραλληλόγραμμον καὶ τὸ ΚΟ στερεόν.
(유클리드, Elements, book 11, type Prop598)
καὶ ἐπεὶ διὰ τὴν ὁμοιότητα τῶν ΑΒ, ΓΔ στερεῶν ἐστιν ὡσ ἡ ΑΕ πρὸσ τὴν ΓΖ, οὕτωσ ἡ ΕΗ πρὸσ τὴν ΖΝ, καὶ ἡ ΕΘ πρὸσ τὴν ΖΡ, ἴση δὲ ἡ μέν ΓΖ τῇ ΕΚ, ἡ δὲ ΖΝ τῇ ΕΛ, ἡ δὲ ΖΡ τῇ ΕΜ, ἔστιν ἄρα ὡσ ἡ ΑΕ πρὸσ τὴν ΕΚ, οὕτωσ ἡ ΗΕ πρὸσ τὴν ΕΛ καὶ ἡ ΘΕ πρὸσ τὴν ΕΜ.
(유클리드, Elements, book 11, type Prop605)

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