Let n be a positive integer, and S be the unit circle. Given points P1,…,Pn on S, show that there exists a point Q on S such that |P1-Q|⋅⋅⋅|Pn-Q|=2 holds.
Points on a Circle
Let n be a positive integer, and S be the unit circle. Given points P1,…,Pn on S, show that there exists a point Q on S such that |P1-Q|⋅⋅⋅|Pn-Q|=2 holds.