헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΖΔ πρὸσ τὴν ΗΒ, οὕτωσ ἡ ΖΕ πρὸσ τὴν ΗΘ καὶ ἡ ΕΔ πρὸσ τὴν ΘΒ.
(유클리드, Elements, book 6, type Prop345)
καὶ ὡσ ἄρα ἡ ΖΓ πρὸσ τὴν ΑΗ, οὕτωσ ἥ τε ΓΔ πρὸσ τὴν ΑΒ καὶ ἡ ΖΕ πρὸσ τὴν ΗΘ καὶ ἔτι ἡ ΕΔ πρὸσ τὴν ΘΒ.
(유클리드, Elements, book 6, type Prop347)
ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΑΔ πρὸσ τὴν ΔΓ, οὕτωσ ἡ ΑΗ πρὸσ τὴν ΗΖ, ὡσ δὲ ἡ ΔΓ πρὸσ τὴν ΓΑ, οὕτωσ ἡ ΗΖ πρὸσ τὴν ΖΑ, ὡσ δὲ ἡ ΑΓ πρὸσ τὴν ΓΒ, οὕτωσ ἡ ΑΖ πρὸσ τὴν ΖΕ, καὶ ἔτι ὡσ ἡ ΓΒ πρὸσ τὴν ΒΑ, οὕτωσ ἡ ΖΕ πρὸσ τὴν ΕΑ.
(유클리드, Elements, book 6, type Prop496)
καὶ ἐπεὶ ἐδείχθη ὡσ μὲν ἡ ΔΓ πρὸσ τὴν ΓΑ, οὕτωσ ἡ ΗΖ πρὸσ τὴν ΖΑ, ὡσ δὲ ἡ ΑΓ πρὸσ τὴν ΓΒ, οὕτωσ ἡ ΑΖ πρὸσ τὴν ΖΕ, δι’ ἴσου ἄρα ἐστὶν ὡσ ἡ ΔΓ πρὸσ τὴν ΓΒ, οὕτωσ ἡ ΗΖ πρὸσ τὴν ΖΕ.
(유클리드, Elements, book 6, type Prop497)
Ἐπεὶ οὖν ἴσον ἐστὶ τὸ ΓΖ τῷ ΖΕ, κοινὸν δὲ τὸ ΖΒ, ὅλον ἄρα τὸ ΓΘ ὅλῳ τῷ ΚΕ ἐστιν ἴσον.
(유클리드, Elements, book 6, type Prop544)
ὁμόλογοσ δὲ ἔστω ἡ μὲν ΚΘ τῇ ΖΛ, ἡ δὲ ΚΗ τῇ ΖΕ.
(유클리드, Elements, book 6, type Prop588)
καὶ ἐπεὶ μεῖζόν ἐστι τὸ ΗΘ τοῦ ΖΒ, μείζων ἄρα ἐστὶ καὶ ἡ μὲν ΚΘ τῆσ ΖΛ, ἡ δὲ ΚΗ τῆσ ΖΕ.
(유클리드, Elements, book 6, type Prop589)
ἐκβεβλήσθωσαν αἱ ΖΛ, ΖΕ, καὶ τῇ μὲν ΚΘ ἴση ἔστω ἡ ΖΛΜ, τῇ δὲ ΚΗ ἴση ἡ ΖΕΝ, καὶ συμπεπληρώσθω τὸ ΜΝ·
(유클리드, Elements, book 6, type Prop590)
ἔστιν ἄρα ὡσ ἡ ΖΕ πρὸσ τὴν ΕΔ, οὕτωσ ἡ ΑΕ πρὸσ τὴν ΕΒ.
(유클리드, Elements, book 6, type Prop616)
ἴση δὲ ἡ μὲν ΖΕ τῇ ΑΒ, ἡ δὲ ΕΔ τῇ ΑΕ.
(유클리드, Elements, book 6, type Prop617)
Ἔστωσαν δύο εὐθεῖαι αἱ ΖΕ, ΕΗ.
(유클리드, Elements, book 10, type Prop 1439)
λέγω, ὅτι ἐστὶν ὡσ ἡ ΖΕ πρὸσ τὴν ΕΗ, οὕτωσ τὸ ἀπὸ τῆσ ΖΕ πρὸσ τὸ ὑπὸ τῶν ΖΕ, ΕΗ.
(유클리드, Elements, book 10, type Prop 1440)
Ἀναγεγράφθω γὰρ ἀπὸ τῆσ ΖΕ τετράγωνον τὸ ΔΖ, καὶ συμπεπληρώσθω τὸ ΗΔ.
(유클리드, Elements, book 10, type Prop 1441)
ἐπεὶ οὖν ἐστιν ὡσ ἡ ΖΕ πρὸσ τὴν ΕΗ, οὕτωσ τὸ ΖΔ πρὸσ τὸ ΔΗ, καί ἐστι τὸ μὲν ΖΔ τὸ ἀπὸ τῆσ ΖΕ, τὸ δὲ ΔΗ τὸ ὑπὸ τῶν ΔΕ, ΕΗ, τουτέστι τὸ ὑπὸ τῶν ΖΕ, ΕΗ, ἔστιν ἄρα ὡσ ἡ ΖΕ τὴν ΕΗ, οὕτωσ τὸ ἀπὸ τῆσ ΖΕ πρὸσ τὸ ὑπὸ τῶν ΖΕ, ΕΗ.
(유클리드, Elements, book 10, type Prop 1442)
ὡσ δὲ ἡ ΕΖ πρὸσ τὴν ΕΗ, οὕτωσ τὸ ἀπὸ τῆσ ΕΖ πρὸσ τὸ ὑπὸ τῶν ΖΕ, ΕΗ, ἀσύμμετρον ἄρα [ἐστὶ] τὸ ἀπὸ τῆσ ΕΖ τῷ ὑπὸ τῶν ΖΕ, ΕΗ.
(유클리드, Elements, book 10, type Prop 1464)

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