헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

Δύο γὰρ ἀριθμῶν τῶν Α, Β μεταξὺ κατὰ τὸ συνεχὲσ ἀνάλογον ἐμπιπτέτωσαν ἀριθμοὶ οἱ Γ, Δ, καὶ πεποιήσθω ὡσ ὁ Α πρὸσ τὸν Β, οὕτωσ ὁ Ε πρὸσ τὸν Ζ·
(유클리드, Elements, book 8, type Prop141)
Ἐκκείσθω γάρ τισ ῥητὴ ἡ ΑΒ καὶ δύο τετράγωνοι ἀριθμοὶ οἱ ΓΔ, ΔΕ, ὥστε τὴν ὑπεροχὴν αὐτῶν τὸν ΓΕ μὴ εἶναι τετράγωνον, καὶ γεγράφθω ἐπὶ τῆσ ΑΒ ἡμικύκλιον τὸ ΑΖΒ, καὶ πεποιήσθω ὡσ ὁ ΔΓ πρὸσ τὸν ΓΕ, οὕτωσ τὸ ἀπὸ τῆσ ΒΑ τετράγωνον πρὸσ τὸ ἀπὸ τῆσ ΑΖ τετράγωνον καὶ ἐπεζεύχθω ἡ ΖΒ.
(유클리드, Elements, book 10, type Prop 1642)
Ἐκκείσθω ῥητὴ ἡ ΑΒ καὶ δύο τετράγωνοι ἀριθμοὶ οἱ ΓΕ, ΕΔ, ὥστε τὸν συγκείμενον ἐξ αὐτῶν τὸν ΓΔ μὴ εἶναι τετράγωνον, καὶ γεγράφθω ἐπὶ τῆσ ΑΒ ἡμικύκλιον τὸ ΑΖΒ, καὶ πεποιήσθω ὡσ ὁ ΔΓ πρὸσ τὸν ΓΕ, οὕτωσ τὸ ἀπὸ τῆσ ΒΑ πρὸσ τὸ ἀπὸ τῆσ ΑΖ, καὶ ἐπεζεύχθω ἡ ΖΒ.
(유클리드, Elements, book 10, type Prop 1660)
καὶ πεποιήσθω ὡσ ὁ ΕΔ πρὸσ τὸν ΔΖ, οὕτωσ τὸ ἀπὸ τῆσ ΒΗ τετράγωνον πρὸσ τὸ ἀπὸ τῆσ ΗΓ τετράγωνον·
(유클리드, Elements, book 10, type Prop 36)
καὶ πεποιήσθω ὡσ ὁ ΖΔ πρὸσ τὸν ΔΕ, οὕτωσ τὸ ἀπὸ τῆσ ΓΗ τετράγωνον πρὸσ τὸ ἀπὸ τῆσ ΗΒ τετράγωνον.
(유클리드, Elements, book 10, type Prop 333)
Ἐκκείσθω ῥητὴ ἡ Α, καὶ ἐκκείσθωσαν τρεῖσ ἀριθμοὶ οἱ Ε, ΒΓ, ΓΔ λόγον μὴ ἔχοντεσ πρὸσ ἀλλήλουσ, ὃν τετράγωνοσ ἀριθμὸσ πρὸσ τετράγωνον ἀριθμόν, ὁ δὲ ΓΒ πρὸσ τὸν ΒΔ λόγον ἐχέτω, ὃν τετράγωνοσ ἀριθμὸσ πρὸσ τετράγωνον ἀριθμόν, καὶ πεποιήσθω ὡσ μὲν ὁ Ε πρὸσ τὸν ΒΓ, οὕτωσ τὸ ἀπὸ τῆσ Α τετράγωνον πρὸσ τὸ ἀπὸ τῆσ ΖΗ τετράγωνον, ὡσ δὲ ὁ ΒΓ πρὸσ τὸν ΓΔ, οὕτωσ τὸ ἀπὸ τῆσ ΖΗ τετράγωνον πρὸσ τὸ ἀπὸ τῆσ ΗΘ.
(유클리드, Elements, book 10, type Prop 355)
καὶ πεποιήσθω ὡσ ὁ ΔΕ πρὸσ τὸν ΕΖ, οὕτωσ τὸ ἀπὸ τῆσ ΒΗ τετράγωνον πρὸσ τὸ ἀπὸ τῆσ ΗΓ.
(유클리드, Elements, book 10, type Prop 390)
καὶ πεποιήσθω ὡσ ὁ ΖΕ πρὸσ τὸν ΕΔ, οὕτωσ τὸ ἀπὸ τῆσ ΓΗ πρὸσ τὸ ἀπὸ τῆσ ΗΒ.
(유클리드, Elements, book 10, type Prop 3116)
καὶ πεποιήσθω ὡσ μὲν ὁ Ε πρὸσ τὸν ΒΓ, οὕτωσ τὸ ἀπὸ τῆσ Α πρὸσ τὸ ἀπὸ τῆσ ΖΗ, ὡσ δὲ ὁ ΒΓ πρὸσ τὸν ΓΔ, οὕτωσ τὸ ἀπὸ τῆσ ΖΗ πρὸσ τὸ ἀπὸ τῆσ ΗΘ.
(유클리드, Elements, book 10, type Prop 3139)
καὶ δὴ πεποιήσθω.
(루키아노스, Imagines, (no name) 13:1)
πεποιήσθω δή.
(플라톤, Cratylus, Theaetetus, Sophist, Statesman, Θεαίτητος 337:1)

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