Problem #PRU-78768

Problemas Métodos Principio de casillas Principio de casillas (ángulos y longitudes) Geometría Geometría del plano Polígonos Suma de ángulos internos y externos de polígonos
 12–14  4.0

Problem

It is known that a camera located at \(O\) cannot see the objects \(A\) and \(B\), where the angle \(AOB\) is greater than \(179^\circ\). 1000 such cameras are placed in a Cartesian plane. All of the cameras simultaneously take a picture. Prove that there will be a picture taken in which no more than 998 cameras are visible.