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brink (n.)

"edge or border of a steep place," early 13c., from Middle Low German brink "edge," or from a Scandinavian source akin to Danish brink "steepness, shore, bank, grassy edge," from Proto-Germanic *brenkon, probably from PIE *bhreng-, variant of *bhren- "to project; edge" (source also of Lithuanian brinkti "to swell").

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Definitions of brink from WordNet

brink (n.)
a region marking a boundary;
Synonyms: threshold / verge
brink (n.)
the edge of a steep place;
brink (n.)
the limit beyond which something happens or changes;
on the brink of bankruptcy
Synonyms: verge
From wordnet.princeton.edu