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From The Collaborative International Dictionary of English v.0.48:
Zetetic \Ze*tet"ic\, a. [Gr. ?, fr. ? to seek: cf. F. z['e]t['e]tique.] Seeking; proceeding by inquiry. [1913 Webster] Zetetic method (Math.), the method used for finding the value of unknown quantities by direct search, in investigation, or in the solution of problems. [R.] --Hutton. [1913 Webster]