Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

λέγω, ὅτι ἐστὶν ὡσ ἡ ΒΔ πρὸσ τὴν ΓΔ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΓ.
(유클리드, Elements, book 6, type Prop44)
Ἤχθω γὰρ διὰ τοῦ Γ τῇ ΔΑ παράλληλοσ ἡ ΓΕ καὶ διαχθεῖσα ἡ ΒΑ συμπιπτέτω αὐτῇ κατὰ τὸ Ε.
(유클리드, Elements, book 6, type Prop45)
καὶ ἐπεὶ τριγώνου τοῦ ΒΓΕ παρὰ μίαν τῶν πλευρῶν τὴν ΕΓ ἦκται ἡ ΑΔ, ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΒΔ πρὸσ τὴν ΔΓ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΕ.
(유클리드, Elements, book 6, type Prop53)
ὡσ ἄρα ἡ ΒΔ πρὸσ τὴν ΔΓ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΓ.
(유클리드, Elements, book 6, type Prop55)
Ἀλλὰ δὴ ἔστω ὡσ ἡ ΒΔ πρὸσ τὴν ΔΓ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΓ, καὶ ἐπεζεύχθω ἡ ΑΔ·
(유클리드, Elements, book 6, type Prop56)
Τῶν γὰρ αὐτῶν κατασκευασθέντων, ἐπεί ἐστιν ὡσ ἡ ΒΔ πρὸσ τὴν ΔΓ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΓ, ἀλλὰ καὶ ὡσ ἡ ΒΔ πρὸσ τὴν ΔΓ, οὕτωσ ἐστὶν ἡ ΒΑ πρὸσ τὴν ΑΕ·
(유클리드, Elements, book 6, type Prop58)
καὶ ὡσ ἄρα ἡ ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΕ.
(유클리드, Elements, book 6, type Prop60)
αἱ ΒΑ, ΕΔ ἄρα ἐκΒΑλλόμεναι συμπεσοῦνται.
(유클리드, Elements, book 6, type Prop74)
καὶ ἐπεὶ τριγώνου τοῦ ΖΒΕ παρὰ μίαν τὴν ΖΕ ἦκται ἡ ΑΓ, ἔστιν ἄρα ὡσ ἡ ΒΑ πρὸσ τὴν ΑΖ, οὕτωσ ἡ ΒΓ πρὸσ τὴν ΓΕ.
(유클리드, Elements, book 6, type Prop80)
ὡσ ἄρα ἡ ΒΑ πρὸσ τὴν ΓΔ, οὕτωσ ἡ ΒΓ πρὸσ τὴν ΓΕ, καὶ ἐναλλὰξ ὡσ ἡ ΑΒ πρὸσ τὴν ΒΓ, οὕτωσ ἡ ΔΓ πρὸσ τὴν ΓΕ.
(유클리드, Elements, book 6, type Prop82)
ἐπεὶ οὖν ἐδείχθη ὡσ μὲν ἡ ΑΒ πρὸσ τὴν ΒΓ, οὕτωσ ἡ ΔΓ πρὸσ τὴν ΓΕ, ὡσ δὲ ἡ ΒΓ πρὸσ τὴν ΓΑ, οὕτωσ ἡ ΓΕ πρὸσ τὴν ΕΔ, δι’ ἴσου ἄρα ὡσ ἡ ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ ἡ ΓΔ πρὸσ τὴν ΔΕ.
(유클리드, Elements, book 6, type Prop86)
Ἔστω δύο τρίγωνα τὰ ΑΒΓ, ΔΕΖ τὰσ πλευρὰσ ἀνάλογον ἔχοντα, ὡσ μὲν τὴν ΑΒ πρὸσ τὴν ΒΓ, οὕτωσ τὴν ΔΕ πρὸσ τὴν ΕΖ, ὡσ δὲ τὴν ΒΓ πρὸσ τὴν ΓΑ, οὕτωσ τὴν ΕΖ πρὸσ τὴν ΖΔ, καὶ ἔτι ὡσ τὴν ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ τὴν ΕΔ πρὸσ τὴν ΔΖ.
(유클리드, Elements, book 6, type Prop90)
Ἔστω δύο τρίγωνα τὰ ΑΒΓ, ΔΕΖ μίαν γωνίαν τὴν ὑπὸ ΒΑΓ μιᾷ γωνίᾳ τῇ ὑπὸ ΕΔΖ ἴσην ἔχοντα, περὶ δὲ τὰσ ἴσασ γωνίασ τὰσ πλευρὰσ ἀνάλογον, ὡσ τὴν ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ τὴν ΕΔ πρὸσ τὴν ΔΖ·
(유클리드, Elements, book 6, type Prop112)
ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ ἡ ΗΔ πρὸσ τὴν ΔΖ.
(유클리드, Elements, book 6, type Prop117)
ὑπόκειται δὲ καὶ ὡσ ἡ ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ ἡ ΕΔ πρὸσ τὴν ΔΖ·
(유클리드, Elements, book 6, type Prop118)

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