Let A, B, C, and D be the vertices of a convex quadrilateral. Convexity means that for each of the lines the quadrilateral lies in one of its half planes. Find the point P for which the minimum Min(d(P,A) + d(P,B) + d(P,C) + d(P,D)) is realized.
Let A, B, C, and D be the vertices of a convex quadrilateral. Convexity means that for each of the lines the quadrilateral lies in one of its half planes. Find the point P for which the minimum Min(d(P,A) + d(P,B) + d(P,C) + d(P,D)) is realized.