n. [ Dan. brink edge, verge; akin to Sw. brink declivity, hill, Icel. brekka; cf. LG. brink a grassy hill, W. bryn hill, bryncyn hillock. ] The edge, margin, or border of a steep place, as of a precipice; a bank or edge, as of a river or pit; a verge; a border; as, the brink of a chasm. Also Fig. “The brink of vice.” Bp. Porteus. “The brink of ruin.” Burke. [ 1913 Webster ]

The plashy brink of weedy lake. Bryant. [ 1913 Webster ]

n. [ brink + -manship. (1956). ] the policy or practise of pushing a dangerous situation to the brink of disaster (to the limits of safety), in order to achieve the most advantageous outcome; -- used especially of diplomatic maneuvers in crisis situations, and originally applied to the policies of John Foster Dulles under President Eisenhower. [ WordNet 1.5 +PJC ]