Isoscelizer

An isoscelizer of an Angle $A$ in a Triangle $\Delta ABC$ is a Line Segment $I_{AB}I_{AC}$ where $I_{AB}$ lies on $AB$ and $I_{AC}$ on $AC$ such that $\Delta AI_{AB}I_{AC}$ is an Isosceles Triangle.

See also Congruent Isoscelizers Point, Isosceles Triangle, Yff Center of Congruence