the visibility points of compact set

34 Views Asked by At

Let's the compact set has the following property: * For every 3 points from the given set (A, B, C), exists a point from the given set (D), such that the segments AD, BD and CD are in the given set. How to prove that exist a point from the given set (A'), such that for every point (B'), the segment (A'B') is in the given set.