MathDB
TOT 459 1995 Spring S A4 lattice points and circle

Source:

July 9, 2024
geometrycombinatoricscombinatorial geometrylattice points

Problem Statement

Some points with integer coordinates in the plane are marked. It is known that no four of them lie on a circle. Show that there exists a circle of radius 1995 without any marked points inside.
(AV Shapovelov)