The Collaborative International Dictionary of English v.0.48:

Require \Re*quire"\ (r?-kw?r"), v. t. [imp. & p. p. Required
   (-kw?rd"); p. pr. & vb. n. Requiring.] [OE. requeren,
   requiren, OF. requerre, F. requ?rir; L. pref. re- re- +
   quaerere to ask; cf. L. requirere. See Query, and cf.
   Request, Requisite.]
   1. To demand; to insist upon having; to claim as by right and
      authority; to exact; as, to require the surrender of
      property.
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            Shall I say to Caesar
            What you require of him?              --Shak.
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            By nature did what was by law required. --Dryden.
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   2. To demand or exact as indispensable; to need.
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            Just gave what life required, and gave no more.
                                                  --Goldsmith.
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            The two last [biographies] require to be
            particularly noticed.                 --J. A.
                                                  Symonds.
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   3. To ask as a favor; to request.
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            I was ashamed to require of the king a band of
            soldiers and horsemen to help us against the enemy
            in the way.                           --Ezra viii.
                                                  22.
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   Syn: To claim; exact; enjoin; prescribe; direct; order;
        demand; need.
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WordNet (r) 3.0 (2006):

require
    v 1: require as useful, just, or proper; "It takes nerve to do
         what she did"; "success usually requires hard work"; "This
         job asks a lot of patience and skill"; "This position
         demands a lot of personal sacrifice"; "This dinner calls
         for a spectacular dessert"; "This intervention does not
         postulate a patient's consent" [syn: necessitate, ask,
         postulate, need, require, take, involve, call
         for, demand] [ant: eliminate, obviate, rid of]
    2: consider obligatory; request and expect; "We require our
       secretary to be on time"; "Aren't we asking too much of these
       children?"; "I expect my students to arrive in time for their
       lessons" [syn: ask, require, expect]
    3: make someone do something [syn: command, require]
    4: have need of; "This piano wants the attention of a competent
       tuner" [syn: want, need, require]

Moby Thesaurus II by Grady Ward, 1.0:

90 Moby Thesaurus words for "require":
   affect, appoint, ask, ask for, assess, assume, authorize,
   be hurting for, be indicated, bind, blackmail, bring,
   brook no denial, call, call for, challenge, charge, charge for,
   claim, clamor for, coerce, command, commit, comprise, contain,
   crave, cry for, cry out for, demand, desire, dictate, entail,
   exact, extort, force, have occasion for, implicate, imply, impose,
   indent, insist, instruct, involve, issue an ultimatum, lack,
   lay down, lead to, leave no option, levy, make, make a demand,
   make dutiable, make imperative, make incumbent, make obligatory,
   miss, necessitate, need, obligate, oblige, order, order up,
   place an order, pledge, postulate, prerequire, prescribe, presume,
   presuppose, pro rata, prorate, put in requisition, requisition,
   run short of, saddle with, screw, set, solicit, stick for, subsume,
   take, take doing, take in, take no denial, tax, tie, tithe, want,
   want doing, warn