The Brouwer's plane translation theorem asserts that for a fixed point free orientation preserving homeomorphism f of the plane, every point belongs to a proper topological imbedding C of R, disjoint from its image and separating f (C) and f −1 (C). Such a curve is called a Brouwer line. We prove that we can construct a foliation of the plane by Brouwer lines. Mathematics Subject Classification (2000). 37E30, 37E35. Mots clés. Homéomorphisme du plan, droite de Brouwer, feuilletage. 230 P. Le

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... vez CMH • D(Γ) ∪ D(Γ ) = R 2 (et alors G(Γ) ∩ G(Γ ) = Γ ∩ Γ ) ; • G(Γ) ∪ G(Γ ) = R 2 (et alors D(Γ) ∩ D(Γ ) = Γ ∩ Γ ).