헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

Ἐπεὶ οὖν ἴσον ἐστὶ τὸ ΑΗ τῷ ΗΕ, κοινὸν προσκείσθω τὸ ΓΖ·
(유클리드, Elements, book 2, type Prop117)
καὶ ἐπεὶ ἴση ἐστὶν ἡ μὲν ΓΗ τῇ ΗΠ, ἡ δὲ ΠΡ τῇ ΡΟ, ἴσον ἐστὶ καὶ τὸ μὲν ΑΗ τῷ ΜΠ, τὸ δὲ ΠΛ τῷ ΡΖ.
(유클리드, Elements, book 2, type Prop144)
καὶ τὸ ΑΗ ἄρα τῷ ΡΖ ἴσον ἐστίν·
(유클리드, Elements, book 2, type Prop147)
τὰ τέσσαρα ἄρα τὰ ΑΗ, ΜΠ, ΠΛ, ΡΖ ἴσα ἀλλήλοισ ἐστίν·
(유클리드, Elements, book 2, type Prop148)
τὰ τέσσαρα ἄρα τοῦ ΑΗ ἐστι τετραπλάσια.
(유클리드, Elements, book 2, type Prop149)
ἐκβεβλήσθωσαν καὶ συμπιπτέτωσαν κατὰ τὸ Η, καὶ ἐπεζεύχθω ἡ ΑΗ.
(유클리드, Elements, book 2, type Prop217)
τοῖσ δὲ ἀπὸ τῶν ΑΕ, ΕΗ τετραγώνοισ ἴσον ἐστὶ τὸ ἀπὸ τῆσ ΑΗ τετράγωνον·
(유클리드, Elements, book 2, type Prop247)
τὸ ἄρα ἀπὸ τῆσ ΑΗ διπλάσιόν ἐστι τῶν ἀπὸ τῶν ΑΓ, ΓΔ.
(유클리드, Elements, book 2, type Prop248)
τῷ δὲ ἀπὸ τῆσ ΑΗ ἴσα ἐστὶ τὰ ἀπὸ τῶν ΑΔ, ΔΗ·
(유클리드, Elements, book 2, type Prop249)
λέγω, ὅτι τῶν μὲν πρὸσ τὴν ΑΕΖΓ κοίλην περιφέρειαν προσπιπτουσῶν εὐθειῶν μεγίστη μέν ἐστιν ἡ διὰ τοῦ κέντρου ἡ ΔΑ, μείζων δὲ ἡ μὲν ΔΕ τῆσ ΔΖ ἡ δὲ ΔΖ τῆσ ΔΓ, τῶν δὲ πρὸσ τὴν ΘΛΚΗ κυρτὴν περιφέρειαν προσπιπτουσῶν εὐθειῶν ἐλαχίστη μέν ἐστιν ἡ ΔΗ ἡ μεταξὺ τοῦ σημείου καὶ τῆσ διαμέτρου τῆσ ΑΗ, ἀεὶ δὲ ἡ ἔγγιον τῆσ ΔΗ ἐλαχίστησ ἐλάττων ἐστὶ τῆσ ἀπώτερον, ἡ μὲν ΔΚ τῆσ ΔΛ, ἡ δὲ ΔΛ τῆσ ΔΘ.
(유클리드, Elements, book 3, type Prop129)
Μὴ γάρ, ἀλλ’ εἰ δυνατόν, πιπτέτω ὡσ ἡ ΖΗΘ, καὶ ἐπεζεύχθωσαν αἱ ΑΖ, ΑΗ.
(유클리드, Elements, book 3, type Prop190)
Ἐπεὶ οὖν αἱ ΑΗ, ΗΖ τῆσ ΖΑ, τουτέστι τῆσ ΖΘ, μείζονέσ εἰσιν, κοινὴ ἀφῃρήσθω ἡ ΖΗ·
(유클리드, Elements, book 3, type Prop191)
λοιπὴ ἄρα ἡ ΑΗ λοιπῆσ τῆσ ΗΘ μείζων ἐστίν.
(유클리드, Elements, book 3, type Prop192)
ἴση δὲ ἡ ΑΗ τῇ ΗΔ·
(유클리드, Elements, book 3, type Prop193)
Μὴ γάρ, ἀλλ’ εἰ δυνατόν, ἐρχέσθω ὡσ ἡ ΖΓΔΗ, καὶ ἐπεζεύχθωσαν αἱ ΑΖ, ΑΗ.
(유클리드, Elements, book 3, type Prop203)

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