The common tangent to (I), (N) is parallel to Euler line
Source: Indian IMO Training Camp 2007-ST 1 P1
March 5, 2011
Eulergeometrytrigonometryperpendicular bisectorgeometry unsolved
Problem Statement
Show that in a non-equilateral triangle, the following statements are equivalent:
The angles of the triangle are in arithmetic progression.
The common tangent to the Nine-point circle and the Incircle is parallel to the Euler Line.