to pursue and apprehend someone or something. / (by extension) to investigate the cause of something

(nautical) A hole cut in the bow of a ship through which a chase gun could fire directly ahead.

(nautical) A gun moved temporarily from its normal broadside position to fire through the chase ports in the bow or stern of a ship.

(road transport) A (high-speed) chase between people in two or more cars or other vehicles, normally between the police or other law enforcement and an offender.

An aircraft that flies alongside another, to advise or photograph it while experimental flights are being carried out.

plural of chase gun

Used other than figuratively or idiomatically: see chase, after. / (idiomatic) To pursue someone with romantic intentions; to woo.

(idiomatic) To pursue something illusory, impractical, or impossible.

(Britain, New Zealand) To follow up, so as to ensure completion.

(mathematics, somewhat informal) A proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms.