MathDB

5

Part of 2017 Canada National Olympiad

Problems(1)

CMO 2017 P5

Source: Canadian Mathematical Olympiad 2017

3/31/2017
There are 100100 circles of radius one in the plane. A triangle formed by the centres of any three given circles has area at most 20172017. Prove that there is a line intersecting at least three of the circles.
combinatorial geometrydiscrete geometry