헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

ἔστω πρότερον τὸ ΑΕ ἔλαττον τοῦ ΕΒ, καὶ πεπολλαπλασιάσθω τὸ ΑΕ, καὶ ἔστω αὐτοῦ πολλαπλάσιον τὸ ΖΗ μεῖζον ὂν τοῦ Δ, καὶ ὁσαπλάσιόν ἐστι τὸ ΖΗ τοῦ ΑΕ, τοσαυταπλάσιον γεγονέτω καὶ τὸ μὲν ΗΘ τοῦ ΕΒ τὸ δὲ Κ τοῦ Γ·
(유클리드, Elements, book 5, type Prop103)
καὶ ἐπεὶ ἰσάκισ ἐστὶ πολλαπλάσιον τὸ ΖΗ τοῦ ΑΕ καὶ τὸ ΗΘ τοῦ ΕΒ, ἰσάκισ ἄρα ἐστὶ πολλαπλάσιον τὸ ΖΗ τοῦ ΑΕ καὶ τὸ ΖΘ τοῦ ΑΒ.
(유클리드, Elements, book 5, type Prop107)
ἰσάκισ δέ ἐστι πολλαπλάσιον τὸ ΖΗ τοῦ ΑΕ καὶ τὸ Κ τοῦ Γ·
(유클리드, Elements, book 5, type Prop108)
Ἀλλὰ δὴ τὸ ΑΕ τοῦ ΕΒ μεῖζον ἔστω.
(유클리드, Elements, book 5, type Prop127)
καὶ ὁσαπλάσιόν ἐστι τὸ ΗΘ τοῦ ΕΒ, τοσαυταπλάσιον γεγονέτω καὶ τὸ μὲν ΖΗ τοῦ ΑΕ, τὸ δὲ Κ τοῦ Γ.
(유클리드, Elements, book 5, type Prop130)
λέγω, ὅτι καὶ διαιρεθέντα ἀνάλογον ἔσται, ὡσ τὸ ΑΕ πρὸσ τὸ ΕΒ, οὕτωσ τὸ ΓΖ πρὸσ τὸ ΔΖ.
(유클리드, Elements, book 5, type Prop266)
Εἰλήφθω γὰρ τῶν μὲν ΑΕ, ΕΒ, ΓΖ, ΖΔ ἰσάκισ πολλαπλάσια τὰ ΗΘ, ΘΚ, ΛΜ, ΜΝ, τῶν δὲ ΕΒ, ΖΔ ἄλλα, ἃ ἔτυχεν, ἰσάκισ πολλαπλάσια τὰ ΚΞ, ΝΠ.
(유클리드, Elements, book 5, type Prop267)
Καὶ ἐπεὶ ἰσάκισ ἐστὶ πολλαπλάσιον τὸ ΗΘ τοῦ ΑΕ καὶ τὸ ΘΚ τοῦ ΕΒ, ἰσάκισ ἄρα ἐστὶ πολλαπλάσιον τὸ ΗΘ τοῦ ΑΕ καὶ τὸ ΗΚ τοῦ ΑΒ.
(유클리드, Elements, book 5, type Prop268)
ἰσάκισ δέ ἐστι πολλαπλάσιον τὸ ΗΘ τοῦ ΑΕ καὶ τὸ ΛΜ τοῦ ΓΖ·
(유클리드, Elements, book 5, type Prop269)
καί ἐστι τὰ μὲν ΗΘ, ΛΜ τῶν ΑΕ, ΓΖ ἰσάκισ πολλαπλάσια, τὰ δὲ ΚΞ, ΝΠ τῶν ΕΒ, ΖΔ ἄλλα, ἃ ἔτυχεν, ἰσάκισ πολλαπλάσια·
(유클리드, Elements, book 5, type Prop282)
ἔστιν ἄρα ὡσ τὸ ΑΕ πρὸσ τὸ ΕΒ, οὕτωσ τὸ ΓΖ πρὸσ τὸ ΖΔ.
(유클리드, Elements, book 5, type Prop283)
Ἔστω διῃρημένα μεγέθη ἀνάλογον τὰ ΑΕ, ΕΒ, ΓΖ, ΖΔ, ὡσ τὸ ΑΕ πρὸσ τὸ ΕΒ, οὕτωσ τὸ ΓΖ πρὸσ τὸ ΖΔ·
(유클리드, Elements, book 5, type Prop287)
ἔστιν ἄρα ὡσ τὸ ΑΕ πρὸσ τὸ ΕΒ, οὕτωσ τὸ ΓΗ πρὸσ τὸ ΗΔ.
(유클리드, Elements, book 5, type Prop293)
ὑπόκειται δὲ καὶ ὡσ τὸ ΑΕ πρὸσ τὸ ΕΒ, οὕτωσ τὸ ΓΖ πρὸσ τὸ ΖΔ.
(유클리드, Elements, book 5, type Prop294)
Ἔστω γὰρ ὡσ ὅλον τὸ ΑΒ πρὸσ ὅλον τὸ ΓΔ, οὕτωσ ἀφαιρεθὲν τὸ ΑΕ πρὸσ ἀφαιρεθὲν τὸ ΓΖ·
(유클리드, Elements, book 5, type Prop306)

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