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Latin word magister comes from Latin magis (Better. More. More greatly. Rather.), Proto-Indo-European *-tero-
magis (Latin)
Better. More. More greatly. Rather.
*-tero- (Proto-Indo-European)
magister (Latin)
Master; a title of the Middle Ages, given to a person in authority or to one having a license from a university to teach philosophy and the liberal arts. Teacher.