헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

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)
ἡμιόλιον ἄρα καὶ τὸ ἀπὸ τῆσ ΒΑ τοῦ ἀπὸ τῆσ ΑΔ.
(유클리드, Elements, book 13, type Prop370)
καί ἐστιν ἡ μὲν ΒΑ ἡ τῆσ δοθείσησ σφαίρασ διάμετροσ, ἡ δὲ ΑΔ ἴση τῇ πλευρᾷ τῆσ πυραμίδοσ.
(유클리드, Elements, book 13, type Prop371)
ἐπεὶ οὖν διὰ τὸ ἰσογώνιον εἶναι τὸ ΔΑΒ τρίγωνον τῷ ΔΑΓ τριγώνῳ ἐστὶν ὡσ ἡ ΒΑ πρὸσ τὴν ΑΔ, οὕτωσ ἡ ΔΑ πρὸσ τὴν ΑΓ, τὸ ἄρα ὑπὸ τῶν ΒΑ, ΑΓ ἴσον ἐστὶ τῷ ἀπὸ τῆσ ΑΔ.
(유클리드, Elements, book 13, type Prop376)
καὶ ἐπεί ἐστιν ὡσ ἡ ΑΒ πρὸσ τὴν ΒΓ, οὕτωσ τὸ ΕΒ πρὸσ τὸ ΒΖ, καί ἐστι τὸ μὲν ΕΒ τὸ ὑπὸ τῶν ΒΑ, ΑΓ·
(유클리드, Elements, book 13, type Prop377)
τὸ δὲ ΒΖ τὸ ὑπὸ τῶν ΑΓ, ΓΒ, ὡσ ἄρα ἡ ΑΒ πρὸσ τὴν ΒΓ, οὕτωσ τὸ ὑπὸ τῶν ΒΑ, ΑΓ πρὸσ τὸ ὑπὸ τῶν ΑΓ, ΓΒ.
(유클리드, Elements, book 13, type Prop379)
καί ἐστι τὸ μὲν ὑπὸ τῶν ΒΑ, ΑΓ ἴσον τῷ ἀπὸ τῆσ ΑΔ, τὸ δὲ ὑπὸ τῶν ΑΓΒ ἴσον τῷ ἀπὸ τῆσ ΔΓ·
(유클리드, Elements, book 13, type Prop380)
ἀναστρέψαντι ἡμιολία ἄρα ἐστὶν ἡ ΒΑ τῆσ ΑΔ.
(유클리드, Elements, book 13, type Prop607)
ὡσ δὲ ἡ ΒΑ πρὸσ τὴν ΑΔ, οὕτωσ τὸ ἀπὸ τῆσ ΒΑ πρὸσ τὸ ἀπὸ τῆσ ΑΖ·
(유클리드, Elements, book 13, type Prop608)
ἡμιόλιον ἄρα ἐστὶ τὸ ἀπὸ τῆσ ΒΑ τοῦ ἀπὸ τῆσ ΑΖ.
(유클리드, Elements, book 13, type Prop610)
Ἐπεὶ γὰρ ἰσογώνιόν ἐστι τὸ ΖΔΒ τρίγωνον τῷ ΖΑΒ τριγώνῳ, ἀνάλογόν ἐστιν ὡσ ἡ ΔΒ πρὸσ τὴν ΒΖ, οὕτωσ ἡ ΒΖ πρὸσ τὴν ΒΑ.
(유클리드, Elements, book 13, type Prop662)
ἔστιν ἄρα ὡσ ἡ ΔΒ πρὸσ τὴν ΒΑ, οὕτωσ τὸ ἀπὸ τῆσ ΔΒ πρὸσ τὸ ἀπὸ τῆσ ΒΖ·
(유클리드, Elements, book 13, type Prop664)

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