Construct a circle through vertices A and B, tangent to side BC of the triangle.
Symmetrically, construct the other two circles.
These three circles intersect at the first [b]Brocard Point[/b] of triangle ABC.
Cevians through the Brocard point make symmetrically equal angles with the sides of the triangle.
The three circles just constructed are also designated as [b]epicycles of triangle ABC[/b].
The second Brocard point is constructed in similar fashion, and is the isogonal conjugate of the first Brocard point.
