Definition:Brocard Points/First

Definition

 * Brocard-Points.png

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 $\triangle ABC$.

Also see

 * Definition:Second Brocard Point


 * Construction of Brocard Points


 * Definition:Brocard Angle
 * Brocard Angle is Unique


 * Yff's Conjecture