"serving to discover or find out," 1821, irregular formation from Greek heuriskein "to find; find out, discover; devise, invent; get, gain, procure" (from PIE *were- (2) "to find;" cognate with Old Irish fuar "I have found") + -istic. As a noun, from 1860. Greek had heuretikos "inventive," also heurema "an invention, a discovery; that which is found unexpectedly."

"study of heuristic methods," 1897, from heuristic (n.), for which see heuristic (adj.); also see -ics.

c. 1600, from Greek heureka "I have found (it)," first person singular perfect active indicative of heuriskein "to find" (see heuristic). Supposedly shouted by Archimedes (c. 287-212 B.C.E.) when he solved a problem that had been set to him: determining whether goldsmiths had adulterated the metal in the crown of Hiero II, king of Syracuse.