Source : Webster's Revised Unabridged Dictionary (1913)

Brilliantly \Bril"liant*ly\, adv.
   In a brilliant manner.

Source : WordNet®

brilliantly
     adv 1: with brightness; "the stars shone brilliantly"; "the windows
            glowed jewel bright" [syn: {brightly}, {bright}]
     2: in an extremely intelligent way; "he solved the problem
        brilliantly"