The Collaborative International Dictionary of English v.0.48:
Balance \Bal"ance\ (b[a^]l"ans), v. t. [imp. & p. p. Balanced
   (b[a^]l"anst); p. pr. & vb. n. Balancing
   (b[a^]l"an*s[i^]ng).] [From Balance, n.: cf. F. balancer.]
   1. To bring to an equipoise, as the scales of a balance by
      adjusting the weights; to weigh in a balance.
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   2. To support on a narrow base, so as to keep from falling;
      as, to balance a plate on the end of a cane; to balance
      one's self on a tight rope.
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   3. To equal in number, weight, force, or proportion; to
      counterpoise, counterbalance, counteract, or neutralize.
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            One expression . . . must check and balance another.
                                                  --Kent.
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   4. To compare in relative force, importance, value, etc.; to
      estimate.
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            Balance the good and evil of things.  --L'Estrange.
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   5. To settle and adjust, as an account; to make two accounts
      equal by paying the difference between them.
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            I am very well satisfied that it is not in my power
            to balance accounts with my Maker.    --Addison.
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   6. To make the sums of the debits and credits of an account
      equal; -- said of an item; as, this payment, or credit,
      balances the account.
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   7. To arrange accounts in such a way that the sum total of
      the debits is equal to the sum total of the credits; as,
      to balance a set of books.
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   8. (Dancing) To move toward, and then back from,
      reciprocally; as, to balance partners.
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   9. (Naut.) To contract, as a sail, into a narrower compass;
      as, to balance the boom mainsail.
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   Balanced valve. See Balance valve, under Balance, n.
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   Syn: To poise; weigh; adjust; counteract; neutralize;
        equalize.
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