헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

Ἤχθω τοῦ ΑΒΓΔΕΖ κύκλου διάμετροσ ἡ ΑΔ, καὶ εἰλήφθω τὸ κέντρον τοῦ κύκλου τὸ Η, καὶ κέντρῳ μὲν τῷ Δ διαστήματι δὲ τῷ ΔΗ κύκλοσ γεγράφθω ὁ ΕΗΓΘ, καὶ ἐπιζευχθεῖσαι αἱ ΕΗ, ΓΗ διήχθωσαν ἐπὶ τὰ Β, Ζ σημεῖα, καὶ ἐπεζεύχθωσαν αἱ ΑΒ, ΒΓ, ΓΔ, ΔΕ, ΕΖ, ΖΑ·
(유클리드, Elements, book 4, type Prop289)
αἱ ἓξ ἄρα περιφέρειαι αἱ ΑΒ, ΒΓ, ΓΔ, ΔΕ, ΕΖ, ΖΑ ἴσαι ἀλλήλαισ εἰσίν.
(유클리드, Elements, book 4, type Prop305)
ἐπεὶ γὰρ ἴση ἐστὶν ἡ ΖΑ περιφέρεια τῇ ΕΔ περιφερείᾳ, κοινὴ προσκείσθω ἡ ΑΒΓΔ περιφέρεια·
(유클리드, Elements, book 4, type Prop310)
ἴση ἄρα ἡ μὲν ΖΑ τῇ ΔΓ, ἡ δὲ ΑΓ τῇ ΖΔ.
(유클리드, Elements, book 6, type Prop79)
Ἐπεὶ οὖν τριγώνου τοῦ ΑΒΓ παρὰ μίαν τῶν πλευρῶν τὴν ΒΓ ἦκται ἡ ΖΔ, ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΓΔ πρὸσ τὴν ΔΑ, οὕτωσ ἡ ΒΖ πρὸσ τὴν ΖΑ.
(유클리드, Elements, book 6, type Prop200)
διπλῆ ἄρα καὶ ἡ ΒΖ τῆσ ΖΑ·
(유클리드, Elements, book 6, type Prop202)
πάλιν, ἐπεὶ τριγώνου τοῦ ΑΗΕ παρὰ μίαν τῶν πλευρῶν τὴν ΗΕ ἦκται ἡ ΖΔ, ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΕΔ πρὸσ τὴν ΔΑ, οὕτωσ ἡ ΗΖ πρὸσ τὴν ΖΑ.
(유클리드, Elements, book 6, type Prop213)
ἔστιν ἄρα ὡσ μὲν ἡ ΓΕ πρὸσ τὴν ΕΔ, οὕτωσ ἡ ΒΗ πρὸσ τὴν ΗΖ, ὡσ δὲ ἡ ΕΔ πρὸσ τὴν ΔΑ, οὕτωσ ἡ ΗΖ πρὸσ τὴν ΖΑ.
(유클리드, Elements, book 6, type Prop215)
Ἐπεὶ γὰρ τριγώνου τοῦ ΑΒΓ παρὰ μίαν τῶν πλευρῶν τὴν ΒΓ ἦκται ἡ ΕΖ, ἀνάλογόν ἐστιν ὡσ ἡ ΒΕ πρὸσ τὴν ΕΑ, οὕτωσ, ἡ ΓΖ πρὸσ τὴν ΖΑ.
(유클리드, Elements, book 6, type Prop487)
πάλιν, ἐπεὶ τριγώνου τοῦ ΑΓΔ παρὰ μίαν τὴν ΓΔ ἦκται ἡ ΖΗ, ἀνάλογόν ἐστιν ὡσ ἡ ΓΖ πρὸσ τὴν ΖΑ, οὕτωσ ἡ ΔΗ πρὸσ τὴν ΗΑ.
(유클리드, Elements, book 6, type Prop488)
ἀλλ’ ὡσ ἡ ΓΖ πρὸσ τὴν ΖΑ, οὕτωσ ἐδείχθη καὶ ἡ ΒΕ πρὸσ τὴν ΕΑ·
(유클리드, Elements, book 6, type Prop489)
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)
καὶ ἐπεὶ ἐδείχθη ὡσ μὲν ἡ ΔΓ πρὸσ τὴν ΓΑ, οὕτωσ ἡ ΗΖ πρὸσ τὴν ΖΑ, ὡσ δὲ ἡ ΑΓ πρὸσ τὴν ΓΒ, οὕτωσ ἡ ΑΖ πρὸσ τὴν ΖΕ, δι’ ἴσου ἄρα ἐστὶν ὡσ ἡ ΔΓ πρὸσ τὴν ΓΒ, οὕτωσ ἡ ΗΖ πρὸσ τὴν ΖΕ.
(유클리드, Elements, book 6, type Prop497)
καὶ ὁ μὲν ΓΔ τὸν ΒΖ μετρῶν λειπέτω ἑαυτοῦ ἐλάσσονα τὸν ΖΑ, ὁ δὲ ΑΖ τὸν ΔΗ μετρῶν λειπέτω ἑαυτοῦ ἐλάσσονα τὸν ΗΓ, ὁ δὲ ΗΓ τὸν ΖΘ μετρῶν λειπέτω μονάδα τὴν ΘΑ.
(유클리드, Elements, book 7, type Prop6)
μετρεῖ δὲ καὶ ὅλον τὸν ΖΑ·
(유클리드, Elements, book 7, type Prop16)

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