Bereg, SergeyKano, Mikio2013-08-012013-08-012012-02-07Bereg, Sergey, and Mikio Kano. 2012. "Balanced Line for a 3-Colored Point Set in the Plane." Electronic Journal Of Combinatorics 19.1077-8926http://hdl.handle.net/10735.1/2798In this note we prove the following theorem. For any three sets of points in the plane, each of n ≥ 2 points such that any three points (from the union of three sets) are not collinear and the convex hull of 3n points is monochromatic, there exists an integer k ε {1, 2, ..., n-1} and an open half-plane containing exactly k points from each set.© 2012 Sergey Bereg and Mikio Kanotext19