E. Cobham Brewer 1810–1897. Dictionary of Phrase and Fable. 1898.

Diophan’tine Anal’ysis.

Finding commensurate values of squares, cubes, triangles, etc.; or the sum of a given number of squares which is itself a square; or a certain number of squares, etc., which are in arithmetical progression. The following examples will give some idea of the theory:

1

1. To find two whole numbers, the sum of whose squares is a square;

2

2. To find three square numbers which are in arithmetical progression;

3

3. To find a number from which two given squares being severally subtracted, each of the remainders is a square.

4

Diophantus was an Alexandrian Greek (5th cent. A.D.)