[math-fun] Triangle question

Ghosts of a departing triangle ------------------------------ Given a triangle whose angles have sizes u, v, w, draw its 3 angle bisectors. Now draw the 6 rays, 2 emanating from each vertex, that make angles of epsilon > 0 with the bisectors at the vertices. Call them "epsectors". Much like the trisectors in Morley's theorem, adjacent epsectors from different vertices will intersect pairwise at 3 points. Call the triangle formed by those 3 points T(epsilon). Question: --------- As epsilon approaches 0, what are the limiting angles of T(epsilon) (as functions of u, v, w) ??? —Dan