Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

Ἤχθωσαν [γὰρ] ἀπὸ τῶν Α, Γ σημείων ταῖσ ΑΒ, ΓΔ εὐθείαισ πρὸσ ὀρθὰσ αἱ ΑΗ, ΓΘ, καὶ κείσθω τῇ μὲν Ζ ἴση ἡ ΑΓ, τῇ δὲ Ε ἴση ἡ ΓΘ.
(유클리드, Elements, book 6, type Prop286)
Καὶ ἐπεί ἐστιν ὡσ ἡ ΑΒ πρὸσ τὴν ΓΔ, οὕτωσ ἡ Ε πρὸσ τὴν Ζ, ἴση δὲ ἡ μὲν Ε τῇ ΓΘ, ἡ δὲ Ζ τῇ ΑΗ, ἔστιν ἄρα ὡσ ἡ ΑΒ πρὸσ τὴν ΓΔ, οὕτωσ ἡ ΓΘ πρὸσ τὴν ΑΗ.
(유클리드, Elements, book 6, type Prop288)
ἴση γὰρ ἡ ΑΗ τῇ Ζ·
(유클리드, Elements, book 6, type Prop293)
ἴση γάρ ἐστιν ἡ ΑΗ τῇ Ζ·
(유클리드, Elements, book 6, type Prop300)
ἔστιν ἄρα ὡσ ἡ ΑΒ πρὸσ τὴν ΓΔ, οὕτωσ ἡ ΓΘ πρὸσ τὴν ΑΗ.
(유클리드, Elements, book 6, type Prop306)
ἴση δὲ ἡ μὲν ΓΘ τῇ Ε, ἡ δὲ ΑΗ τῇ Ζ·
(유클리드, Elements, book 6, type Prop307)
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)
καὶ ἐπεζεύχθω ἡ ΑΗ.
(유클리드, Elements, book 6, type Prop360)
καὶ ὡσ ἄρα ἡ ΒΕ πρὸσ τὴν ΕΑ, οὕτωσ ἡ ΔΗ πρὸσ τὴν ΗΑ, καὶ συνθέντι ἄρα ὡσ ἡ ΒΑ πρὸσ ΑΕ, οὕτωσ ἡ ΔΑ πρὸσ ΑΗ, καὶ ἐναλλὰξ ὡσ ἡ ΒΑ πρὸσ τὴν ΑΔ, οὕτωσ ἡ ΕΑ πρὸσ τὴν ΑΗ.
(유클리드, Elements, book 6, type Prop490)
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)
Τετμήσθω ἡ ΑΒ δίχα κατὰ τὸ Ε σημεῖον, καὶ ἀναγεγράφθω ἀπὸ τῆσ ΕΒ τῷ Δ ὅμοιον καὶ ὁμοίωσ κείμενον τὸ ΕΒΖΗ, καὶ συμπεπληρώσθω τὸ ΑΗ παραλληλόγραμμον.
(유클리드, Elements, book 6, type Prop556)
Εἰ μὲν οὖν ἴσον ἐστὶ τὸ ΑΗ τῷ Γ, γεγονὸσ ἂν εἰή τὸ ἐπιταχθέν·
(유클리드, Elements, book 6, type Prop557)
παραβέβληται γὰρ παρὰ τὴν δοθεῖσαν εὐθεῖαν τὴν ΑΒ τῷ δοθέντι εὐθυγράμμῳ τῷ Γ ἴσον παραλληλόγραμμον τὸ ΑΗ ἐλλεῖπον εἴδει παραλληλογράμμῳ τῷ ΗΒ ὁμοίῳ ὄντι τῷ Δ.
(유클리드, Elements, book 6, type Prop558)
διῃρήσθω ὁ μὲν ΑΒ εἰσ τὰ τοῦ Γ μέρη τὰ ΑΗ, ΗΒ, ὁ δὲ ΔΕ εἰσ τὰ τοῦ Ζ μέρη τὰ ΔΘ, ΘΕ·
(유클리드, Elements, book 7, type Prop140)
ἔσται δὴ ἴσον τὸ πλῆθοσ τῶν ΑΗ, ΗΒ τῷ πλήθει τῶν ΔΘ, ΘΕ.
(유클리드, Elements, book 7, type Prop141)

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