What is a greek or latin prefix or suffix for "the art of"?

greek -ikē suffix gives -ic(s) ending many arts: economics, politics, hydroponics, etc. appears in many adjectives, because greek names of arts derived feminine forms of adjectives. i.e., politikos (= political) politikē in feminine, means "politics".

greek suffix -ology denotes sciences, of them construed arts, suppose.

visual , written arts end in -graphy, greek; root graph- pertains writing.

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