(143) 4

Part of 1987 Tournament Of Towns

Problems(1)

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

Source:

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

a = b

.
(A. Andj ans, Riga)

algebraChessboardSumdistancegeometry