헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

καί ἐστι τῆσ ΚΔ ἐπιζευγνυμένησ τὸ μὲν ὑπὸ ΔΒ, ΒΩ ἴσον τῷ ἀπὸ τῆσ ΒΚ, τὸ δὲ ὑπὸ τῶν ΔΩ, ΩΒ ἴσον τῷ ἀπὸ τῆσ ΚΩ·
(유클리드, Elements, book 12, type Prop549)
δύναται δὲ τὸ ὑπὸ τῶν ΘΒΜ ἡ ΑΒ διὰ τὸ ἐπιζευγνυμένησ τῆσ ΑΘ ἰσογώνιον γίνεσθαι τὸ ΑΒΘ τρίγωνον τῷ ΑΒΜ τριγώνῳ καὶ εἶναι ὡσ τὴν ΘΒ πρὸσ τὴν ΒΑ, οὕτωσ τὴν ΑΒ πρὸσ τὴν ΒΜ.
(유클리드, Elements, book 13, type Prop317)
ὡσ δὲ ἡ ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ τὸ ἀπὸ τῆσ ΒΑ πρὸσ τὸ ἀπὸ τῆσ ΑΔ [ἐπειδήπερ ἐπιζευγνυμένησ τῆσ ΔΒ ἐστιν ὡσ ἡ ΒΑ πρὸσ τὴν ΑΔ, οὕτωσ ἡ ΔΑ πρὸσ τὴν ΑΓ διὰ τὴν ὁμοιότητα τῶν ΔΑΒ, ΔΑΓ τριγώνων, καὶ εἶναι ὡσ τὴν πρώτην πρὸσ τὴν τρίτην, οὕτωσ τὸ ἀπὸ τῆσ πρώτησ πρὸσ τὸ ἀπὸ τῆσ δευτέρασ].
(유클리드, Elements, book 13, type Prop369)

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