Given triangle Δ A_1 A_2 A_3, let the point of intersection of A_2 Ω and A_3 Ω' be B_1, where Ω and Ω' are the Brocard points, and similarly define B_2 and B_3. Then Δ B_1 B_2 B_3 is called the first Brocard triangle, and is inversely similar to Δ A_1 A_2 A_3. It is inscribed in the Brocard circle.
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