헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

γεγονέτω δὴ πάλιν ὡσ ὁ ΒΑ πρὸσ τὸν ΑΓ, οὕτωσ τὸ ἀπὸ τῆσ ΖΗ πρὸσ τὸ ἀπὸ τῆσ ΗΘ.
(유클리드, Elements, book 10, type Prop 2129)
καὶ ἐπεὶ ὁ ΒΑ πρὸσ τὸν ΑΓ λόγον οὐκ ἔχει, ὃν τετράγωνοσ ἀριθμὸσ πρὸσ τετράγωνον ἀριθμόν, οὐδὲ τὸ ἀπὸ τῆσ ΖΗ πρὸσ τὸ ἀπὸ τῆσ ΗΘ λόγον ἔχει, ὃν τετράγωνοσ ἀριθμὸσ πρὸσ τετράγωνον ἀριθμόν·
(유클리드, Elements, book 10, type Prop 2133)
Ἐπεὶ γάρ ἐστιν ὡσ ὁ Δ πρὸσ τὸν ΑΒ, οὕτωσ τὸ ἀπὸ τῆσ Ε πρὸσ τὸ ἀπὸ τῆσ ΖΗ, ἔστι δὲ καὶ ὡσ ὁ ΒΑ πρὸσ τὸν ΑΓ, οὕτωσ τὸ ἀπὸ τῆσ ΖΗ πρὸσ τὸ ἀπὸ τῆσ ΗΘ, δι’ ἴσου ἄρα ἐστὶν ὡσ ὁ Δ πρὸσ τὸν ΑΓ, οὕτωσ τὸ ἀπὸ τῆσ Ε πρὸσ τὸ ἀπὸ τῆσ ΗΘ.
(유클리드, Elements, book 10, type Prop 2138)
καὶ ἐπεί ἐστιν ὡσ ὁ ΒΑ πρὸσ τὸν ΑΓ, οὕτωσ τὸ ἀπὸ τῆσ ΖΗ πρὸσ τὸ ἀπὸ τῆσ ΗΘ, μεῖζον ἄρα τὸ ἀπὸ τῆσ ΖΗ τοῦ ἀπὸ τῆσ ΗΘ.
(유클리드, Elements, book 10, type Prop 2144)
αἱ ΒΑ, ΑΗ, ΗΕ ἄρα ῥηταί εἰσι δυνάμει μόνον σύμμετροι·
(유클리드, Elements, book 10, type Prop 2234)
[αἱ ΒΑ, ΑΕ ῥηταί εἰσι δυνάμει μόνον σύμμετροι.
(유클리드, Elements, book 10, type Prop 2301)
Ἀπειλήφθωσαν γὰρ αἱ ΒΑ, ΒΓ, ΕΔ, ΕΖ ἴσαι ἀλλήλαισ, καὶ ἐπεζεύχθωσαν αἱ ΑΔ, ΓΖ, ΒΕ, ΑΓ, ΔΖ.
(유클리드, Elements, book 11, type Prop171)
καὶ ἐπεὶ ἡ ΒΑ τῇ ΕΔ ἴση ἐστὶ καὶ παράλληλοσ, καὶ ἡ ΑΔ ἄρα τῇ ΒΕ ἴση ἐστὶ καὶ παράλληλοσ.
(유클리드, Elements, book 11, type Prop172)
Εἰ γὰρ δυνατόν, ἀπὸ τοῦ αὐτοῦ σημείου τοῦ Α τῷ ὑποκειμένῳ ἐπιπέδῳ δύο εὐθεῖαι αἱ ΑΒ, ΑΓ πρὸσ ὀρθὰσ ἀνεστάτωσαν ἐπὶ τὰ αὐτὰ μέρη, καὶ διήχθω τὸ διὰ τῶν ΒΑ, ΑΓ ἐπίπεδον·
(유클리드, Elements, book 11, type Prop212)
καὶ ἐπεὶ παράλληλόσ ἐστιν ἡ ΒΑ τῇ ΗΘ, αἱ ἄρα ὑπὸ ΗΒΑ, ΒΗΘ γωνίαι δυσὶν ὀρθαῖσ ἴσαι εἰσίν.
(유클리드, Elements, book 11, type Prop248)
ἡ ΗΒ ἄρα τῇ ΒΑ πρὸσ ὀρθάσ ἐστιν.
(유클리드, Elements, book 11, type Prop251)
ἐπεὶ οὖν εὐθεῖα ἡ ΗΒ δυσὶν εὐθείαισ ταῖσ ΒΑ, ΒΓ τεμνούσαισ ἀλλήλασ πρὸσ ὀρθὰσ ἐφέστηκεν, ἡ ΗΒ ἄρα καὶ τῷ διὰ τῶν ΒΑ, ΒΓ ἐπιπέδῳ πρὸσ ὀρθάσ ἐστιν.
(유클리드, Elements, book 11, type Prop253)
καὶ γεγονέτω ὡσ μὲν ἡ ΕΓ πρὸσ τὴν ΓΗ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΚ, ὡσ δὲ ἡ ΗΓ πρὸσ τὴν ΓΖ, οὕτωσ ἡ ΚΑ πρὸσ τὴν ΑΘ.
(유클리드, Elements, book 11, type Prop500)
καὶ δι’ ἴσου ἄρα ἐστὶν ὡσ ἡ ΕΓ πρὸσ τὴν ΓΖ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΘ.
(유클리드, Elements, book 11, type Prop501)
Καὶ ἐπεί ἐστιν ὡσ ἡ ΕΓ πρὸσ τὴν ΓΗ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΚ, καὶ περὶ ἴσασ γωνίασ τὰσ ὑπὸ ΕΓΗ, ΒΑΚ αἱ πλευραὶ ἀνάλογόν εἰσιν, ὅμοιον ἄρα ἐστὶ τὸ ΗΕ παραλληλόγραμμον τῷ ΚΒ παραλληλογράμμῳ.
(유클리드, Elements, book 11, type Prop503)

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