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 used figuratively
If you are on the brink of something, usually something important, terrible, or exciting, you are just about to do it or experience it. Their economy is teetering on the brink of collapse Failure to communicate had brought the two nations to the brink of war. = verge
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 used figurativley