Constellation Morley

K. R. S. Sastry

First Paragraph: Morley's theorem is that the adjacent internal trisectors of the angles of a triangle intersect forming an equilateral triangle. This triangle is now called Morley's triangle. Let us name it Morley's triangle i (Morley delta i) as its vertices lie within the mother triangle. A proof of this theorem has appeared in this Magazine by G. L. Neidhardt and V. Milenkovic [1]. Analogously, W. R. Spickerman [2] has shown that the adjacent external trisectors of the angles of a triangle also intersect to form an equilateral triangle. Let us name it Morley's triangle e (Morley delta e) as its vertices are outside the mother triangle.

Reviewer: jascha swisher