Problem A. 672. (May 2016)

A. 672. Point \(\displaystyle O\) is the apex of an oblique circular cone. Show that there are some points \(\displaystyle F_1\) and \(\displaystyle F_2\) in the interior of the base such that \(\displaystyle \angle XOF_1 +\angle XOF_2\) is constant when \(\displaystyle X\) runs along the perimeter of the base disk.

(5 pont)

Deadline expired on June 10, 2016.

Statistics:

5 students sent a solution.
5 points:	Cseh Kristóf, Schweitzer Ádám, Williams Kada.
4 points:	Bukva Balázs.
1 point:	1 student.

Problems in Mathematics of KöMaL, May 2016