헬라어 텍스트

헬라어 텍스트

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καὶ ἐπεὶ ἴση ἐστὶν ἡ ΑΒ τῇ ΔΕ, ἀλλὰ καὶ ἡ ΑΔ τῇ ΒΕ, δύο δὴ αἱ ΑΒ, ΒΕ δυσὶ ταῖσ ΕΔ, ΔΑ ἴσαι εἰσίν·
(유클리드, Elements, book 11, type Prop93)
αἱ τρεῖσ ἄρα εὐθεῖαι αἱ ΒΔ, ΔΑ, ΔΓ ἐν ἑνί εἰσιν ἐπιπέδῳ.
(유클리드, Elements, book 11, type Prop101)
ἐν ᾧ δὲ αἱ ΔΒ, ΔΑ, ἐν τούτῳ καὶ ἡ ΑΒ·
(유클리드, Elements, book 11, type Prop102)
αἱ ἄρα ΑΒ, ΒΔ, ΔΓ εὐθεῖαι ἐν ἑνί εἰσιν ἐπιπέδῳ.
(유클리드, Elements, book 11, type Prop104)
Εἂν ἄρα δύο εὐθεῖαι τῷ αὐτῷ ἐπιπέδῳ πρὸσ ὀρθὰσ ὦσιν, παράλληλοι ἔσονται αἱ εὐθεῖαι·
(유클리드, Elements, book 11, type Prop107)
Ἔστωσαν δύο εὐθεῖαι παράλληλοι αἱ ΑΒ, ΓΔ, καὶ εἰλήφθω ἐφ’ ἑκατέρασ αὐτῶν τυχόντα σημεῖα τὰ Ε, Ζ·
(유클리드, Elements, book 11, type Prop110)
δύο ἄρα εὐθεῖαι αἱ ΕΗΖ, ΕΖ χωρίον περιέξουσιν·
(유클리드, Elements, book 11, type Prop115)
Ἔστωσαν δύο εὐθεῖαι παράλληλοι αἱ ΑΒ, ΓΔ, ἡ δὲ ἑτέρα αὐτῶν ἡ ΑΒ τῷ ὑποκειμένῳ ἐπιπέδῳ πρὸσ ὀρθὰσ ἔστω·
(유클리드, Elements, book 11, type Prop122)
Συμβαλλέτωσαν γὰρ αἱ ΑΒ, ΓΔ τῷ ὑποκειμένῳ ἐπιπέδῳ κατὰ τὰ Β, Δ σημεῖα, καὶ ἐπεζεύχθω ἡ ΒΔ·
(유클리드, Elements, book 11, type Prop124)
αἱ ΑΒ, ΓΔ, ΒΔ ἄρα ἐν ἑνί εἰσιν ἐπιπέδῳ.
(유클리드, Elements, book 11, type Prop125)
ἤχθω τῇ ΒΔ πρὸσ ὀρθὰσ ἐν τῷ ὑποκειμένῳ ἐπιπέδῳ ἡ ΔΕ, καὶ κείσθω τῇ ΑΒ ἴση ἡ ΔΕ, καὶ ἐπεζεύχθωσαν αἱ ΒΕ, ΑΕ, ΑΔ.
(유클리드, Elements, book 11, type Prop126)
καὶ ἐπεὶ εἰσ παραλλήλουσ τὰσ ΑΒ, ΓΔ εὐθεῖα ἐμπέπτωκεν ἡ ΒΔ, αἱ ἄρα ὑπὸ ΑΒΔ, ΓΔΒ γωνίαι δυσὶν ὀρθαῖσ ἴσαι εἰσίν.
(유클리드, Elements, book 11, type Prop129)
καὶ ἐπεὶ ἴση ἐστὶν ἡ ΑΒ τῇ ΔΕ, κοινὴ δὲ ἡ ΒΔ, δύο δὴ αἱ ΑΒ, ΒΔ δυσὶ ταῖσ ΕΔ, ΔΒ ἴσαι εἰσίν·
(유클리드, Elements, book 11, type Prop133)
καὶ ἐπεὶ ἴση ἐστὶν ἡ μὲν ΑΒ τῇ ΔΕ, ἡ δὲ ΒΕ τῇ ΑΔ, δύο δὴ αἱ ΑΒ, ΒΕ δυσὶ ταῖσ ΕΔ, ΔΑ ἴσαι εἰσὶν ἑκατέρα ἑκατέρᾳ.
(유클리드, Elements, book 11, type Prop137)
ἐν δὲ τῷ διὰ τῶν ΒΔΑ ἐπιπέδῳ ἐστὶν ἡ ΔΓ, ἐπειδήπερ ἐν τῷ διὰ τῶν ΒΔΑ ἐπιπέδῳ εἰσὶν αἱ ΑΒ, ΒΔ, ἐν ᾧ δὲ αἱ ΑΒ, ΒΔ, ἐν τούτῳ ἐστὶ καὶ ἡ ΔΓ.
(유클리드, Elements, book 11, type Prop146)

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