\begin{definition}[Definition:Brocard Angle]
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Let $\triangle ABC$ be a triangle such that $A \to B \to C \to A$ travels anticlockwise around $\triangle ABC$.
Let $P$ and $Q$ be the first and second Brocard points of $\triangle ABC$ respectively.
Let:
{{begin-eqn}}
{{eqn | l = \omega
      | r = \angle PAB = \angle PBC = \angle PCA
}}
{{eqn | l = \omega'
      | r = \angle QAC = \angle QCB = \angle QBA
}}
{{end-eqn}}
From Brocard Angle is Unique:
:$\omega = \omega'$
This angle $\omega = \omega'$ is the '''Brocard angle''' of $\triangle ABC$.
\end{definition}