Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

ῥητὸν δὲ τὸ ΔΑ·
(유클리드, Elements, book 10, type Prop 1434)
ὥστε καὶ τὸ ΔΑ τῷ ΑΓ σύμμετρόν ἐστιν.
(유클리드, Elements, book 10, type Prop 1503)
μέσον δὲ τὸ ΔΑ·
(유클리드, Elements, book 10, type Prop 1504)
ἀλλ’ ὡσ μὲν ἡ ΔΒ πρὸσ τὴν ΒΓ, οὕτωσ τὸ ΔΑ πρὸσ τὸ ΑΓ·
(유클리드, Elements, book 10, type Prop 1523)
ἔστιν ἄρα ὡσ τὸ ΔΑ πρὸσ τὸ ΑΓ, οὕτωσ τὸ ΑΓ πρὸσ τὸ ΓΞ.
(유클리드, Elements, book 10, type Prop 1525)
Καὶ ἐπεί, ἐὰν ἐν ὀρθογωνίῳ τριγώνῳ ἀπὸ τῆσ ὀρθῆσ γωνίασ ἐπὶ τὴν βάσιν κάθετοσ ἀχθῇ, ἡ ἀχθεῖσα τῶν τῆσ βάσεωσ τμημάτων μέση ἀνάλογόν ἐστιν, ἔστιν ἄρα ὡσ ἡ ΒΔ πρὸσ τὴν ΔΑ, οὕτωσ ἡ ΑΔ πρὸσ τὴν ΔΓ·
(유클리드, Elements, book 10, type Prop 1712)
τὸ ἄρα ὑπὸ τῶν ΒΔ, ΔΓ ἴσον ἐστὶ τῷ ἀπὸ τῆσ ΔΑ.
(유클리드, Elements, book 10, type Prop 1713)
καὶ ἔσται ὡσ ἡ ΑΓ πρὸσ τὴν ΓΒ, οὕτωσ ἡ ΒΔ πρὸσ τὴν ΔΑ, καὶ ἔσται ἡ ΑΒ κατὰ τὸ αὐτὸ τῇ κατὰ τὸ Γ διαιρέσει διαιρεθεῖσα καὶ κατὰ τὸ Δ·
(유클리드, Elements, book 10, type Prop 1880)
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)
ἡ ΕΔ ἄρα πρὸσ τὴν ΔΑ ὀρθή ἐστιν.
(유클리드, Elements, book 11, type Prop98)
ἡ ΕΔ ἄρα τρισὶν εὐθείαισ ταῖσ ΒΔ, ΔΑ, ΔΓ πρὸσ ὀρθὰσ ἐπὶ τῆσ ἁφῆσ ἐφέστηκεν·
(유클리드, Elements, book 11, type Prop100)
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)
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)
ἡ ΕΔ ἄρα καὶ τῷ διὰ τῶν ΒΔ, ΔΑ ἐπιπέδῳ ὀρθή ἐστιν.
(유클리드, Elements, book 11, type Prop144)

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