The Collaborative International Dictionary of English v.0.48:

Equilibrate \E`qui*li"brate\, v. t. [imp. & p. p.
   Equilibrated; p. pr. & vb. n. Equilibrating.] [L.
   aequilibratus in equilibrium; aequus equal + libra balance.
   See Equilibrium.]
   To balance two scales, sides, or ends; to keep even with
   equal weight on each side; to keep in equipoise. --H.
   Spenser.
   [1913 Webster]