\begin{definition}[Definition:Brocard Points/First]
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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 the point $P$ be constructed such that:
:$\angle PAB = \angle PBC = \angle PCA$
Then $P$ is the '''first Brocard point''' of $\triangle ABC$.
\end{definition}