헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

Εἰλήφθω γὰρ τὰ κέντρα τῶν κύκλων, καὶ ἔστω τὰ Κ, Λ, καὶ ἐπεζεύχθωσαν αἱ ΒΚ, ΚΓ, ΕΛ, ΛΖ.
(유클리드, Elements, book 3, type Prop485)
καὶ ἐπεὶ ἴσοι εἰσὶν οἱ ΑΒΓ, ΔΕΖ κύκλοι, ἴσαι εἰσὶ καὶ αἱ ἐκ τῶν κέντρων·
(유클리드, Elements, book 3, type Prop487)
δύο δὴ αἱ ΒΚ, ΚΓ δυσὶ ταῖσ ΕΛ, ΛΖ ἴσαι εἰσίν·
(유클리드, Elements, book 3, type Prop488)
Ἐπεζεύχθω ἡ ΑΒ, καὶ τετμήσθω δίχα κατὰ τὸ Γ, καὶ ἀπὸ τοῦ Γ σημείου τῇ ΑΒ εὐθείᾳ πρὸσ ὀρθὰσ ἤχθω ἡ ΓΔ, καὶ ἐπεζεύχθωσαν αἱ ΑΔ, ΔΒ.
(유클리드, Elements, book 3, type Prop496)
Καὶ ἐπεὶ ἴση ἐστὶν ἡ ΑΓ τῇ ΓΒ, κοινὴ δὲ ἡ ΓΔ, δύο δὴ αἱ ΑΓ, ΓΔ δυσὶ ταῖσ ΒΓ, ΓΔ ἴσαι εἰσίν·
(유클리드, Elements, book 3, type Prop497)
αἱ δὲ ἴσαι εὐθεῖαι ἴσασ περιφερείασ ἀφαιροῦσι τὴν μὲν μείζονα τῇ μείζονι τὴν δὲ ἐλάττονα τῇ ἐλάττονι·
(유클리드, Elements, book 3, type Prop501)
Ἔστω κύκλοσ ὁ ΑΒΓΔ, διάμετροσ δὲ αὐτοῦ ἔστω ἡ ΒΓ, κέντρον δὲ τὸ Ε, καὶ ἐπεζεύχθωσαν αἱ ΒΑ, ΑΓ, ΑΔ, ΔΓ·
(유클리드, Elements, book 3, type Prop508)
Καὶ ἐπεὶ τοῦ ΑΒΓ τριγώνου δύο γωνίαι αἱ ὑπὸ ΑΒΓ, ΒΑΓ δύο ὀρθῶν ἐλάττονέσ εἰσιν, ὀρθὴ δὲ ἡ ὑπὸ ΒΑΓ, ἐλάττων ἄρα ὀρθῆσ ἐστιν ἡ ὑπὸ ΑΒΓ γωνία·
(유클리드, Elements, book 3, type Prop518)
Καὶ ἐπεὶ ἐν κύκλῳ τετράπλευρόν ἐστι τὸ ΑΒΓΔ, τῶν δὲ ἐν τοῖσ κύκλοισ τετραπλεύρων αἱ ἀπεναντίον γωνίαι δυσὶν ὀρθαῖσ ἴσαι εἰσίν [αἱ ἄρα ὑπὸ ΑΒΓ, ΑΔΓ γωνίαι δυσὶν ὀρθαῖσ ἴσαι εἰσίν], καί ἐστιν ἡ ὑπὸ ΑΒΓ ἐλάττων ὀρθῆσ·
(유클리드, Elements, book 3, type Prop520)
ἐὰν δὲ αἱ ἐφεξῆσ ἴσαι ὦσιν, ὀρθαί εἰσιν.
(유클리드, Elements, book 3, type Prop530)
Ἤχθω γὰρ ἀπὸ τοῦ Β τῇ ΕΖ πρὸσ ὀρθὰσ ἡ ΒΑ, καὶ εἰλήφθω ἐπὶ τῆσ ΒΔ περιφερείασ τυχὸν σημεῖον τὸ Γ, καὶ ἐπεζεύχθωσαν αἱ ΑΔ, ΔΓ, ΓΒ.
(유클리드, Elements, book 3, type Prop534)
λοιπαὶ ἄρα αἱ ὑπὸ ΒΑΔ, ΑΒΔ μιᾷ ὀρθῇ ἴσαι εἰσίν.
(유클리드, Elements, book 3, type Prop538)
καὶ ἐπεὶ ἐν κύκλῳ τετράπλευρόν ἐστι τὸ ΑΒΓΔ, αἱ ἀπεναντίον αὐτοῦ γωνίαι δυσὶν ὀρθαῖσ ἴσαι εἰσίν.
(유클리드, Elements, book 3, type Prop543)
εἰσὶ δὲ καὶ αἱ ὑπὸ ΔΒΖ, ΔΒΕ δυσὶν ὀρθαῖσ ἴσαι·
(유클리드, Elements, book 3, type Prop544)
αἱ ἄρα ὑπὸ ΔΒΖ, ΔΒΕ ταῖσ ὑπὸ ΒΑΔ, ΒΓΔ ἴσαι εἰσίν, ὧν ἡ ὑπὸ ΒΑΔ τῇ ὑπὸ ΔΒΖ ἐδείχθη ἴση·
(유클리드, Elements, book 3, type Prop545)

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