Brocard point

The Brocard point of a triangle is the point $P$ in triangle $\triangle ABC$ such that $\angle PAB=\angle PCA=\angle PBC$. It is also the unique point $P$ inside $\triangle ABC$ such that the sum of the distances from $P$ to $A, B,$ and $C$ is a minimum. These points are named after Henri Brocard (1845 – 1922), a French mathematician. More info can be found here: and here:

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