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.
Deadline expired on June 10, 2016.
5 students sent a solution. 5 points: Cseh Kristóf, Schweitzer Ádám, Williams Kada. 4 points: Bukva Balázs. 1 point: 1 student.