counterbalance vs equilibrate

counterbalance

verb
  • To apply weight in order to balance an opposing weight. 

  • To match or equal in effect when applying opposing force 

noun
  • A weight that is put in opposition to an equal weight so it keeps that in balance. 

  • A force or influence that balances, checks or limits an opposite one. 

equilibrate

verb
  • To balance, or bring into equilibrium. 

  • To balance, to be in a state of equilibrium. 

How often have the words counterbalance and equilibrate occurred in a corpus of books? (source: Google Ngram Viewer )