Morley's trisector theorem

Morley triangle, named after Frank Morley, is a term from the triangle geometry.

Definition and set of Morley

The interior angles of any triangle are each divided into three equal angles (which is generally ruler and compass is not possible). To each side of the triangle you look at the intersection of those two dividing lines emanating from the endpoints of this page, and are adjacent to this site. Morley the triangle is that the triangle whose vertices are the three points of intersection obtained in this manner.

The set of Morley is: Regardless of the shape of the original triangle, the Morley triangle is always equilateral.