From BiblePortal Wikipedia

Webster's Dictionary [1]

(n.) 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.

King James Dictionary [2]

Brink n. The edge, margin or border of a steep place, as of a precipice, or the bank of a river.

International Standard Bible Encyclopedia [3]

briṇk  : שׂפה , sāphāh , or שׂפת , sepheth = "the lip," "margin," "bank," "edge" ( Genesis 41:3;  Exodus 2:3;  Exodus 7:15 ); קצה , ḳāceh , or קצה , ḳēceh = "an extremity," "border," "brim" ( Joshua 3:8 ,  Joshua 3:15;  Isaiah 19:7;  Daniel 12:5 ). See Brim .

Cyclopedia of Biblical, Theological and Ecclesiastical Literature [4]

some Heb. words elsewhere rendered sometimes "brim" (q.v.).