932 Some geometry problems from recent journals
Pi Mu Epsilon Journal, Problem 1060, proposed by A. B. Ayoub,
Pennsylvania State University, Abington, College, Abington, PA
Suppose ABCis an equilateral triangle. The pointsD,E, andFare
onAB,BC,CArespectively such that|AD|=|BE =|CF|. Show
that the circumcircles of trianglesABCandDEFare concentric.