## Triangles having the same incircle and circumcircle

Posted December 30th, 2007 by Structure

Let ABC be a triangle and M a point on its circumcircle.

The tangents from M to the incircle cut the circumcircle in F and G.

Then FG is tangent to the incircle.

*Property discovered by Marius Gheorghe Mateescu*

See also

demonstrations.wolfram.com/TangentsToTheIncircleFromAPointOnTheCircumcircle