Ancient Greek Text

Ancient Greek Text

헬라어 문장 내 검색 Language

αἱ ἄρα ΑΗ, ΗΒ εὐθεῖαι δυνάμει εἰσὶν ἀσύμμετροι ποιοῦσαι τὸ μὲν συγκείμενον ἐκ τῶν ἀπ’ αὐτῶν τετραγώνων μέσον, τὸ δὲ δὶσ ὑπ’ αὐτῶν ῥητόν.
(유클리드, Elements, book 10, type Prop 3563)
καὶ τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον παρὰ τὴν ΓΔ παραβεβλήσθω τὸ ΓΘ, τῷ δὲ ἀπὸ τῆσ ΗΒ ἴσον τὸ ΚΛ·
(유클리드, Elements, book 10, type Prop 3564)
ὅλον ἄρα τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3565)
τὸ δὲ συγκείμενον ἐκ τῶν ἀπὸ τῶν ΑΗ, ΗΒ ἅμα μέσον ἐστίν·
(유클리드, Elements, book 10, type Prop 3566)
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 3570)
ἑκάτερον ἄρα τῶν ΖΞ, ΝΛ ἴσον ἐστὶ τῷ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3572)
καὶ ἐπεὶ τὸ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ ῥητόν ἐστι καί [ἐστιν] ἴσον τῷ ΖΛ, ῥητὸν ἄρα ἐστὶ τὸ ΖΛ.
(유클리드, Elements, book 10, type Prop 3573)
καὶ ἐπεὶ ἀσύμμετρόν ἐστι τὸ ἀπὸ τῆσ ΑΗ τῷ ἀπὸ τῆσ ΗΒ, ἴσον δὲ τὸ μὲν ἀπὸ τῆσ ΑΗ τῷ ΓΘ, τὸ δὲ ἀπὸ τῆσ ΗΒ τῷ ΚΛ, ἀσύμμετρον ἄρα τὸ ΓΘ τῷ ΚΛ.
(유클리드, Elements, book 10, type Prop 3584)
αἱ ἄρα ΑΗ, ΗΒ δυνάμει εἰσὶν ἀσύμμετροι ποιοῦσαι τό τε συγκείμενον ἐκ τῶν ἀπ’ αὐτῶν τετραγώνων μέσον καὶ τὸ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ μέσον καὶ ἀσύμμετρον τὰ ἀπὸ τῶν ΑΗ, ΗΒ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3595)
παραβεβλήσθω οὖν παρὰ τὴν ΓΔ τῷ μὲν ἀπὸ τῆσ ΑΗ ἴσον τὸ ΓΘ πλάτοσ ποιοῦν τὴν ΓΚ, τῷ δὲ ἀπὸ τῆσ ΒΗ τὸ ΚΛ·
(유클리드, Elements, book 10, type Prop 3596)
ὅλον ἄρα τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ·
(유클리드, Elements, book 10, type Prop 3597)
ἐπεὶ οὖν τὸ ΓΛ ἴσον ἐστὶ τοῖσ ἀπὸ τῶν ΑΗ, ΗΒ, ὧν τὸ ΓΕ ἴσον τῷ ἀπὸ τῆσ ΑΒ, λοιπὸν ἄρα τὸ ΖΛ ἴσον ἐστὶ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ.
(유클리드, Elements, book 10, type Prop 3601)
καί ἐστι τὸ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ μέσον·
(유클리드, Elements, book 10, type Prop 3602)
καὶ ἐπεὶ τὰ ἀπὸ τῶν ΑΗ, ΗΒ ἀσύμμετρά ἐστι τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ, καί ἐστι τοῖσ μὲν ἀπὸ τῶν ΑΗ, ΗΒ ἴσον τὸ ΓΛ, τῷ δὲ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ ἴσον τὸ ΖΛ, ἀσύμμετρον ἄρα [ἐστὶ] τὸ ΓΛ τῷ ΖΛ.
(유클리드, Elements, book 10, type Prop 3606)
Ἐπεὶ γὰρ τὸ ΖΛ ἴσον ἐστὶ τῷ δὶσ ὑπὸ τῶν ΑΗ, ΗΒ, τετμήσθω δίχα ἡ ΖΜ κατὰ τὸ Ν, καὶ ἤχθω διὰ τοῦ Ν τῇ ΓΔ παράλληλοσ ἡ ΝΞ·
(유클리드, Elements, book 10, type Prop 3613)

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