The second Brocard point is the interior point Ω' (also denoted τ_2 or Z_2) of a triangle Δ A B C with points labeled in counterclockwise order for which the angles ∠Ω' A C, ∠Ω' C B, and ∠Ω' B A are equal, with the unique such angle denoted ω'. ω' is equal to the Brocard angle ω. Ω' fails to be a triangle center because it is bicentric with the first Brocard point Ω, but it has trilinear coordinates b/c :c/a :a/b (Kimberling 1998, p. 47).

Brocard angle | Brocard midpoint | Brocard points | first Brocard point | third Brocard point

Pierre René Jean Baptiste Henri Brocard