Diophantine AnalysisFinding 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. To find two whole numbers, the sum of whose squares is a square; 2. To find three square numbers which are in arithmetical progression; 3. To find a number from which two given squares being severally subtracted, each of the remainders is a square. Diophantus was an Alexandrian Greek (5th cent. A.D.) Source: Dictionary of Phrase and Fable, E. Cobham Brewer, 1894 More on Diophantine Analysis from Fact Monster:

