Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

ῥητὸν δὲ [ἐστι] τὸ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ·
(유클리드, Elements, book 10, type Prop 3454)
ἐπεὶ οὖν τὰ μὲν ἀπὸ τῶν ΑΗ, ΗΒ, τουτέστι τὸ ΓΛ, μέσον ἐστίν, τὸ δὲ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ, τουτέστι τὸ ΖΛ, ῥητόν, ἀσύμμετρον ἄρα ἐστὶ τὸ ΓΛ τῷ ΖΛ.
(유클리드, Elements, book 10, type Prop 3458)
ἑκάτερον ἄρα τῶν ΖΞ, ΝΛ ἴσον ἐστὶ τῷ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3466)
καὶ ἐπεὶ τῶν ἀπὸ τῶν ΑΗ, ΗΒ τετραγώνων μέσον ἀνάλογόν ἐστι τὸ ὑπὸ τῶν ΑΗ, ΗΒ, καί ἐστιν ἴσον τὸ μὲν ἀπὸ τῆσ ΑΗ τῷ ΓΘ, τὸ δὲ ὑπὸ τῶν ΑΗ, ΗΒ τῷ ΝΛ, τὸ δὲ ἀπὸ τῆσ ΒΗ τῷ ΚΛ, καὶ τῶν ΓΘ, ΚΛ ἄρα μέσον ἀνάλογόν ἐστι τὸ ΝΛ·
(유클리드, Elements, book 10, type Prop 3467)
[καὶ ἐπεὶ σύμμετρόν ἐστι τὸ ἀπὸ τῆσ ΑΗ τῷ ἀπὸ τῆσ ΒΗ, σύμμετρόν ἐστι καὶ τὸ ΓΘ τῷ ΚΛ, τουτέστιν ἡ ΓΚ τῇ ΚΜ.
(유클리드, Elements, book 10, type Prop 3472)
αἱ ἄρα ΑΗ, ΗΒ μέσαι εἰσὶ δυνάμει μόνον σύμμετροι μέσον περιέχουσαι.
(유클리드, Elements, book 10, type Prop 3482)
καὶ τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον παρὰ τὴν ΓΔ παραβεβλήσθω τὸ ΓΘ πλάτοσ ποιοῦν τὴν ΓΚ, τῷ δὲ ἀπὸ τῆσ ΒΗ ἴσον παρὰ τὴν ΚΘ παραβεβλήσθω τὸ ΚΛ πλάτοσ ποιοῦν τὴν ΚΜ·
(유클리드, Elements, book 10, type Prop 3483)
ὅλον ἄρα τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ [καί ἐστι μέσα τὰ ἀπὸ τῶν ΑΗ, ΗΒ]·
(유클리드, Elements, book 10, type Prop 3484)
καὶ ἐπεὶ ὅλον τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ, ὧν τὸ ΓΕ ἴσον ἐστὶ τῷ ἀπὸ τῆσ ΑΒ, λοιπὸν ἄρα τὸ ΛΖ ἴσον ἐστὶ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3488)
ἑκάτερον ἄρα τῶν ΖΞ, ΝΛ ἴσον ἐστὶ τῷ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3490)
μέσον δὲ τὸ ὑπὸ τῶν ΑΗ, ΗΒ·
(유클리드, Elements, book 10, type Prop 3491)
καὶ ἐπεὶ αἱ ΑΗ, ΗΒ δυνάμει μόνον εἰσὶ σύμμετροι, ἀσύμμετροσ ἄρα [ἐστὶ] μήκει ἡ ΑΗ τῇ ΗΒ·
(유클리드, Elements, book 10, type Prop 3495)
ἀσύμμετρον ἄρα ἐστὶ καὶ τὸ ἀπὸ τῆσ ΑΗ τῷ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3496)
ἀλλὰ τῷ μὲν ἀπὸ τῆσ ΑΗ σύμμετρά ἐστι τὰ ἀπὸ τῶν ΑΗ, ΗΒ, τῷ δὲ ὑπὸ τῶν ΑΗ, ΗΒ τὸ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ·
(유클리드, Elements, book 10, type Prop 3497)
ἀσύμμετρα ἄρα ἐστὶ τὰ ἀπὸ τῶν ΑΗ, ΗΒ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3498)

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