\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.