헬라어 텍스트

헬라어 텍스트

헬라어 문장 내 검색 Language

Ἐπεὶ γάρ ἐστιν ὡσ τὸ ΑΒ πρὸσ τὸ ΓΔ, οὕτωσ τὸ ΑΕ πρὸσ τὸ ΓΖ, καὶ ἐναλλὰξ ὡσ τὸ ΒΑ πρὸσ τὸ ΑΕ, οὕτωσ τὸ ΔΓ πρὸσ τὸ ΓΖ.
(유클리드, Elements, book 5, type Prop308)
ὡσ δὲ τὸ ΑΕ πρὸσ τὸ ΓΖ, οὕτωσ ὑπόκειται ὅλον τὸ ΑΒ πρὸσ ὅλον τὸ ΓΔ.
(유클리드, Elements, book 5, type Prop311)
ἐδείχθη δὲ ὡσ τὸ ΒΑ πρὸσ τὸ ΑΕ, οὕτωσ τὸ ΔΓ πρὸσ τὸ ΓΖ·
(유클리드, Elements, book 5, type Prop315)
ὥστε καὶ πλευρὰ ἡ ΑΕ πλευρᾷ τῇ ΑΓ ἐστιν ἴση.
(유클리드, Elements, book 6, type Prop52)
καὶ ἐπεὶ τριγώνου τοῦ ΒΓΕ παρὰ μίαν τῶν πλευρῶν τὴν ΕΓ ἦκται ἡ ΑΔ, ἀνάλογον ἄρα ἐστὶν ὡσ ἡ ΒΔ πρὸσ τὴν ΔΓ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΕ.
(유클리드, Elements, book 6, type Prop53)
ἴση δὲ ἡ ΑΕ τῇ ΑΓ·
(유클리드, Elements, book 6, type Prop54)
Τῶν γὰρ αὐτῶν κατασκευασθέντων, ἐπεί ἐστιν ὡσ ἡ ΒΔ πρὸσ τὴν ΔΓ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΓ, ἀλλὰ καὶ ὡσ ἡ ΒΔ πρὸσ τὴν ΔΓ, οὕτωσ ἐστὶν ἡ ΒΑ πρὸσ τὴν ΑΕ·
(유클리드, Elements, book 6, type Prop58)
καὶ ὡσ ἄρα ἡ ΒΑ πρὸσ τὴν ΑΓ, οὕτωσ ἡ ΒΑ πρὸσ τὴν ΑΕ.
(유클리드, Elements, book 6, type Prop60)
ἴση ἄρα ἡ ΑΓ τῇ ΑΕ·
(유클리드, Elements, book 6, type Prop61)
καί ἐστιν ὡσ ἡ ΒΑ πρὸσ ΑΕ, οὕτωσ ἡ ΗΖ πρὸσ ΖΛ.
(유클리드, Elements, book 6, type Prop381)
καὶ ὡσ ἄρα ἡ ΒΕ πρὸσ τὴν ΕΑ, οὕτωσ ἡ ΔΗ πρὸσ τὴν ΗΑ, καὶ συνθέντι ἄρα ὡσ ἡ ΒΑ πρὸσ ΑΕ, οὕτωσ ἡ ΔΑ πρὸσ ΑΗ, καὶ ἐναλλὰξ ὡσ ἡ ΒΑ πρὸσ τὴν ΑΔ, οὕτωσ ἡ ΕΑ πρὸσ τὴν ΑΗ.
(유클리드, Elements, book 6, type Prop490)
ἔστι δὲ καὶ διὰ τὴν ὁμοιότητα τῶν ΑΒΓΔ, ΕΗ καὶ ὡσ ἡ ΔΑ πρὸσ τὴν ΑΒ, οὕτωσ ἡ ΗΑ πρὸσ τὴν ΑΕ·
(유클리드, Elements, book 6, type Prop528)
καὶ ὡσ ἄρα ἡ ΗΑ πρὸσ τὴν ΑΚ, οὕτωσ ἡ ΗΑ πρὸσ τὴν ΑΕ.
(유클리드, Elements, book 6, type Prop529)
ἡ ΗΑ ἄρα πρὸσ ἑκατέραν τῶν ΑΚ, ΑΕ τὸν αὐτὸν ἔχει λόγον.
(유클리드, Elements, book 6, type Prop530)
ἴση ἄρα ἐστὶν ἡ ΑΕ τῇ ΑΚ ἡ ἐλάττων τῇ μείζονι·
(유클리드, Elements, book 6, type Prop531)

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