헬라어 텍스트

헬라어 텍스트

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τὰ δ’ αὐτὰ ὕψη ἐστὶ τῶν ΔΨ, ΒΤ στερεῶν καὶ τῶν ΔΓ, ΒΑ·
(유클리드, Elements, book 11, type Prop669)
ἀλλὰ τὸ μὲν ΒΤ τῷ ΒΑ ἴσον ἐστίν·
(유클리드, Elements, book 11, type Prop679)
καὶ ἐπεὶ ὅμοιον τὸ ΑΒΓΔΕ πολύγωνον τῷ ΖΗΘΚΛ πολυγώνῳ, ἴση ἐστὶ καὶ ἡ ὑπὸ ΒΑΕ γωνία τῇ ὑπὸ ΗΖΛ, καί ἐστιν ὡσ ἡ ΒΑ πρὸσ τὴν ΑΕ, οὕτωσ ἡ ΗΖ πρὸσ τὴν ΖΛ.
(유클리드, Elements, book 12, type Prop5)
ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΒΜ πρὸσ τὴν ΗΝ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΗΖ.
(유클리드, Elements, book 12, type Prop16)
ἀλλὰ τοῦ μὲν τῆσ ΒΜ πρὸσ τὴν ΗΝ λόγου διπλασίων ἐστὶν ὁ τοῦ ἀπὸ τῆσ ΒΜ τετραγώνου πρὸσ τὸ ἀπὸ τῆσ ΗΝ τετράγωνον, τοῦ δὲ τῆσ ΒΑ πρὸσ τὴν ΗΖ διπλασίων ἐστὶν ὁ τοῦ ΑΒΓΔΕ πολυγώνου πρὸσ τὸ ΖΗ ΘΚΛ πολύγωνον·
(유클리드, Elements, book 12, type Prop17)
καὶ ἐπεὶ δύο εὐθεῖαι ἁπτόμεναι ἀλλήλων αἱ ΒΑ, ΑΓ παρὰ δύο εὐθείασ ἁπτομένασ ἀλλήλων τὰσ ΚΘ, ΘΛ εἰσιν οὐκ ἐν τῷ αὐτῷ ἐπιπέδῳ, ἴσασ γωνίασ περιέξουσιν.
(유클리드, Elements, book 12, type Prop93)
καί ἐστιν ὡσ ἡ ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ ἡ ΚΘ πρὸσ τὴν ΘΛ·
(유클리드, Elements, book 12, type Prop95)
ἔστι δὲ καὶ ὅλη ἡ ΒΑ ὅλῃ τῇ ΚΑ ἴση·
(유클리드, Elements, book 12, type Prop515)
καὶ ἐπεὶ ἴση ἐστὶν ἡ ΒΑ τῇ ΚΑ, ἴσον ἐστὶ τὸ ἀπὸ τῆσ ΒΑ τῷ ἀπὸ τῆσ ΑΚ.
(유클리드, Elements, book 12, type Prop553)
καί ἐστι τῷ μὲν ἀπὸ τῆσ ΒΑ ἴσα τὰ ἀπὸ τῶν ΒΨ, ΨΑ, τῷ δὲ ἀπὸ τῆσ ΚΑ ἴσα τὰ ἀπὸ τῶν ΚΩ, ΩΑ·
(유클리드, Elements, book 12, type Prop554)
καὶ ἐπεὶ διπλῆ ἐστιν ἡ ΒΑ τῆσ ΑΔ, ἴση δὲ ἡ μὲν ΒΑ τῇ ΚΑ, ἡ δὲ ΑΔ τῇ ΑΘ, διπλῆ ἄρα καὶ ἡ ΚΑ τῆσ ΑΘ.
(유클리드, Elements, book 13, type Prop8)
καὶ ἐπεὶ διπλῆ ἐστιν ἡ ΒΑ τῆσ ΑΔ, τετραπλάσιόν ἐστι τὸ ἀπὸ τῆσ ΒΑ τοῦ ἀπὸ τῆσ ΑΔ, τουτέστι τὸ ΑΕ τοῦ ΔΘ.
(유클리드, Elements, book 13, type Prop15)
καὶ ἐπεὶ πενταπλάσιόν ἐστι τὸ ἀπὸ τῆσ ΒΑ τοῦ ἀπὸ τῆσ ΑΓ, πενταπλάσιόν ἐστι τὸ ΑΖ τοῦ ΑΘ.
(유클리드, Elements, book 13, type Prop27)
ὑπόκειται δὲ καὶ τὸ ἀπὸ τῆσ ΒΑ πενταπλάσιον τοῦ ἀπὸ τῆσ ΓΑ·
(유클리드, Elements, book 13, type Prop51)
τὸ ἄρα ἀπὸ τῆσ ΒΑ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΒΓ, ΓΑ·
(유클리드, Elements, book 13, type Prop52)

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