Diophantine \Di`o*phan"tine\, a. Originated or taught by Diophantus, the Greek writer on algebra. {Diophantine analysis} (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of x and y which make x^{2} + y^{2} an exact square.