헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

ὥστε ἀποτομή ἐστιν ἡ ΖΕ, ἧσ τὰ ὀνόματα τὰ ΖΚ, ΚΕ σύμμετρά ἐστι τοῖσ τῆσ ἐκ δύο ὀνομάτων ὀνόμασι τοῖσ ΓΔ, ΔΒ καὶ ἐν τῷ αὐτῷ λόγῳ, καὶ τὴν αὐτὴν τάξιν ἔχει τῇ ΒΓ·
(유클리드, Elements, book 10, type Prop 3814)
γεγονέτω ὡσ ἡ ΚΘ πρὸσ ΘΕ, οὕτωσ ἡ ΘΖ πρὸσ ΖΕ·
(유클리드, Elements, book 10, type Prop 3832)
καὶ ἐπεί ἐστιν ὡσ ἡ ΚΘ πρὸσ ΘΕ, ἡ ΚΖ πρὸσ ΖΘ, ἀλλ’ ὡσ ἡ ΚΘ πρὸσ ΘΕ, ἡ ΘΖ πρὸσ ΖΕ, καὶ ὡσ ἄρα ἡ ΚΖ πρὸσ ΖΘ, ἡ ΘΖ πρὸσ ΖΕ·
(유클리드, Elements, book 10, type Prop 3836)
καὶ ὡσ ἄρα ἡ ΚΖ πρὸσ ΖΕ, οὕτωσ τὸ ἀπὸ τῆσ ΚΖ πρὸσ τὸ ἀπὸ τῆσ ΖΘ.
(유클리드, Elements, book 10, type Prop 3838)
σύμμετροσ ἄρα ἐστὶ καὶ ἡ ΚΖ τῇ ΖΕ μήκει·
(유클리드, Elements, book 10, type Prop 3841)
καὶ ἐπεὶ ἴση ἐστὶν ἡ ΑΕ τῇ ΕΒ, κοινὴ δὲ καὶ πρὸσ ὀρθὰσ ἡ ΖΕ, βάσισ ἄρα ἡ ΖΑ βάσει τῇ ΖΒ ἐστιν ἴση.
(유클리드, Elements, book 11, type Prop41)
ἡ ΖΕ ἄρα πρὸσ τὴν ΗΘ τυχόντωσ διὰ τοῦ Ε ἀχθεῖσαν ὀρθή ἐστιν.
(유클리드, Elements, book 11, type Prop53)
ὁμοίωσ δὴ δείξομεν, ὅτι ἡ ΖΕ καὶ πρὸσ πάσασ τὰσ ἁπτομένασ αὐτῆσ εὐθείασ καὶ οὔσασ ἐν τῷ ὑποκειμένῳ ἐπιπέδῳ ὀρθὰσ ποιήσει γωνίασ.
(유클리드, Elements, book 11, type Prop54)
ἡ ΖΕ ἄρα τῷ ὑποκειμένῳ ἐπιπέδῳ πρὸσ ὀρθάσ ἐστιν.
(유클리드, Elements, book 11, type Prop56)
ἡ ΖΕ ἄρα πρὸσ ὀρθάσ ἐστι τῷ διὰ τῶν ΑΒ, ΓΔ ἐπιπέδῳ.
(유클리드, Elements, book 11, type Prop58)
Εἰλήφθω γὰρ ἐπὶ τῆσ ΕΖ τυχὸν σημεῖον τὸ Η, καὶ ἀπ’ αὐτοῦ τῇ ΕΖ ἐν μὲν τῷ διὰ τῶν ΕΖ, ΑΒ ἐπιπέδῳ πρὸσ ὀρθὰσ ἤχθω ἡ ΗΘ, ἐν δὲ τῷ διὰ τῶν ΖΕ, ΓΔ τῇ ΕΖ πάλιν πρὸσ ὀρθὰσ ἤχθω ἡ ΗΚ.
(유클리드, Elements, book 11, type Prop159)
Ἀπειλήφθωσαν γὰρ ἴσαι αἱ ΑΒ, ΔΕ, καὶ ἐπεΖΕύχθωσαν αἱ ΘΒ, ΚΒ, ΖΕ, ΗΕ.
(유클리드, Elements, book 11, type Prop473)
ἴση ἄρα καὶ ἡ ΘΒ τῇ ΖΕ.
(유클리드, Elements, book 11, type Prop480)
καὶ βάσισ ἡ ΘΒ βάσει τῇ ΖΕ ἴση·
(유클리드, Elements, book 11, type Prop484)
διὰ τὰ αὐτὰ δὴ καὶ τὸ μὲν ΚΘ παραλληλόγραμμον τῷ ΗΖ παραλληλογράμμῳ ὅμοιόν ἐστι καὶ ἔτι τὸ ΖΕ τῷ ΘΒ·
(유클리드, Elements, book 11, type Prop504)

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