(1):

(n.) A parish or prescribed territory attached to a church, and taxed for its support.

(2):

(n.) The limit or exterior line encompassing a place; a boundary; a confine; limit of jurisdiction or authority; - often in the plural; as, the precincts of a state.

(3):

(n.) A district within certain boundaries; a minor territorial or jurisdictional division; as, an election precinct; a school precinct.