Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

ἀλλὰ τοῖσ μὲν ἀπὸ τῶν ΑΗ, ΗΒ ἴσον ἐστὶ τὸ ΓΛ, τῷ δὲ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ ἴσον ἐστὶ τὸ ΖΛ·
(유클리드, Elements, book 10, type Prop 3499)
Ἐπεὶ γὰρ σύμμετρόν ἐστι τὸ ἀπὸ τῆσ ΑΗ τῷ ἀπὸ τῆσ ΗΒ, σύμμετρον ἄρα καὶ τὸ ΓΘ τῷ ΚΛ·
(유클리드, Elements, book 10, type Prop 3507)
καὶ ἐπεὶ τῶν ἀπὸ τῶν ΑΗ, ΗΒ μέσον ἀνάλογόν ἐστι τὸ ὑπὸ τῶν ΑΗ, ΗΒ, καί ἐστι τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον τὸ ΓΘ, τῷ δὲ ἀπὸ τῆσ ΗΒ ἴσον τὸ ΚΛ, τῷ δὲ ὑπὸ τῶν ΑΗ, ΗΒ ἴσον τὸ ΝΛ, καὶ τῶν ΓΘ, ΚΛ ἄρα μέσον ἀνάλογόν ἐστι τὸ ΝΛ·
(유클리드, Elements, book 10, type Prop 3509)
αἱ ἄρα ΑΗ, ΗΒ δυνάμει εἰσὶν ἀσύμμετροι ποιοῦσαι τὸ μὲν συγκείμενον ἐκ τῶν ἀπὸ τῶν ΑΗ, ΗΒ τετραγώνων ῥητόν, τὸ δὲ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ μέσον.
(유클리드, Elements, book 10, type Prop 3523)
καὶ τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον παρὰ τὴν ΓΔ παραβεβλήσθω τὸ ΓΘ πλάτοσ ποιοῦν τὴν ΓΚ, τῷ δὲ ἀπὸ τῆσ ΒΗ ἴσον τὸ ΚΛ πλάτοσ ποιοῦν τὴν ΚΜ·
(유클리드, Elements, book 10, type Prop 3524)
ὅλον ἄρα τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3525)
καί ἐστι τὸ συγκείμενον ἐκ τῶν ἀπὸ τῶν ΑΗ, ΗΒ ῥητόν·
(유클리드, Elements, book 10, type Prop 3526)
καὶ ἐπεὶ ὅλον τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ, ὧν τὸ ΓΕ ἴσον ἐστὶ τῷ ἀπὸ τῆσ ΑΒ, λοιπὸν ἄρα τὸ ΖΛ ἴσον ἐστὶ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3530)
ἑκάτερον ἄρα τῶν ΖΞ, ΝΛ ἴσον ἐστὶ τῷ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3532)
καὶ ἐπεὶ τὸ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ μέσον ἐστὶ καί ἐστιν ἴσον τῷ ΖΛ, καὶ τὸ ΖΛ ἄρα μέσον ἐστίν.
(유클리드, Elements, book 10, type Prop 3533)
καὶ ἐπεὶ τὸ μὲν συγκείμενον ἐκ τῶν ἀπὸ τῶν ΑΗ, ΗΒ ῥητόν ἐστιν, τὸ δὲ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ μέσον, ἀσύμμετρα [ἄρα] ἐστὶ τὰ ἀπὸ τῶν ΑΗ, ΗΒ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3536)
ἴσον δέ [ἐστι] τὸ ΓΛ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ, τῷ δὲ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ ἴσον τὸ ΖΛ·
(유클리드, Elements, book 10, type Prop 3537)
Ἐπεὶ γὰρ αἱ ΑΗ, ΗΒ δυνάμει εἰσὶν ἀσύμμετροι, ἀσύμμετρον ἄρα καὶ τὸ ἀπὸ τῆσ ΑΗ τῷ ἀπὸ τῆσ ΗΒ.
(유클리드, Elements, book 10, type Prop 3545)
καί ἐστι τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον τὸ ΓΘ, τῷ δὲ ἀπὸ τῆσ ΗΒ ἴσον τὸ ΚΛ·
(유클리드, Elements, book 10, type Prop 3546)
καὶ ἐπεὶ τῶν ἀπὸ τῶν ΑΗ, ΗΒ μέσον ἀνάλογόν ἐστι τὸ ὑπὸ τῶν ΑΗ, ΗΒ, καί ἐστιν ἴσον τὸ μὲν ἀπὸ τῆσ ΑΗ τῷ ΓΘ, τὸ δὲ ἀπὸ τῆσ ΗΒ τῷ ΚΛ, τὸ δὲ ὑπὸ τῶν ΑΗ, ΗΒ τῷ ΝΛ, τῶν ἄρα ΓΘ, ΚΛ μέσον ἀνάλογόν ἐστι τὸ ΝΛ·
(유클리드, Elements, book 10, type Prop 3550)

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