MathDB

TOT 143 1987 Spring Train S4 a=b, sum of distances in a square on cheeboard

Source:

April 17, 2020

algebraChessboardSumdistancegeometry

Problem Statement

On a chessboard a square is chosen . The sum of the squares of distances from its centre to the centre of all black squares is designated by

a

and to the centre of all white squares by

b

. Prove that

a = b

.
(A. Andj ans, Riga)