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.

Source: Webster's Revised Unabridged Dictionary (1913)