The Collaborative International Dictionary of English v.0.48:

Appoint \Ap*point"\ ([a^]p*point"), v. t. [imp. & p. p.
   Appointed; p. pr. & vb. n. Appointing.] [OE. appointen,
   apointen, OF. apointier to prepare, arrange, lean, place, F.
   appointer to give a salary, refer a cause, fr. LL. appunctare
   to bring back to the point, restore, to fix the point in a
   controversy, or the points in an agreement; L. ad + punctum a
   point. See Point.]
   1. To fix with power or firmness; to establish; to mark out.
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            When he appointed the foundations of the earth.
                                                  --Prov. viii.
                                                  29.
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   2. To fix by a decree, order, command, resolve, decision, or
      mutual agreement; to constitute; to ordain; to prescribe;
      to fix the time and place of.
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            Thy servants are ready to do whatsoever my lord the
            king shall appoint.                   --2 Sam. xv.
                                                  15.
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            He hath appointed a day, in the which he will judge
            the world in righteousness.           --Acts xvii.
                                                  31.
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            Say that the emperor request a parley . . . and
            appoint the meeting.                  --Shak.
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   3. To assign, designate, or set apart by authority.
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            Aaron and his shall go in, and appoint them every
            one to his service.                   --Num. iv. 19.
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            These were cities appointed for all the children of
            Israel, and for the stranger that sojourneth among
            them.                                 --Josh. xx. 9.
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   4. To furnish in all points; to provide with everything
      necessary by way of equipment; to equip; to fit out.
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            The English, being well appointed, did so entertain
            them that their ships departed terribly torn.
                                                  --Hayward.
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   5. To point at by way, or for the purpose, of censure or
      commendation; to arraign. [Obs.]
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            Appoint not heavenly disposition.     --Milton.
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   6. (Law) To direct, designate, or limit; to make or direct a
      new disposition of, by virtue of a power contained in a
      conveyance; -- said of an estate already conveyed.
      --Burrill. Kent.
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   To appoint one's self, to resolve. [Obs.] --Crowley.
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The Collaborative International Dictionary of English v.0.48:

Appoint \Ap*point"\ ([a^]p*point"), v. i.
   To ordain; to determine; to arrange.
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         For the Lord had appointed to defeat the good counsel
         of Ahithophel.                           --2 Sam. xvii.
                                                  14.
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WordNet (r) 3.0 (2006):

appoint
    v 1: create and charge with a task or function; "nominate a
         committee" [syn: appoint, name, nominate,
         constitute]
    2: assign a duty, responsibility or obligation to; "He was
       appointed deputy manager"; "She was charged with supervising
       the creation of a concordance" [syn: appoint, charge]
    3: furnish; "a beautifully appointed house"

Moby Thesaurus II by Grady Ward, 1.0:

76 Moby Thesaurus words for "appoint":
   accouter, allocate, allot, appropriate to, arm, arrange, assign,
   assign to, authorize, choose, commission, decorate, decree,
   delegate, demand, deputize, designate, destinate, destine, detail,
   determine, devote, dictate, doom, dress, earmark, elect, equip,
   establish, fate, fit, fit out, fit up, fix, foredoom, furnish,
   gear, heel, impose, lay down, lot, make assignments,
   make obligatory, man, mark, mark off, mark out for, munition, name,
   nominate, ordain, ordinate, outfit, place in office, portion off,
   prepare, prescribe, require, reserve, restrict, restrict to, rig,
   rig out, rig up, schedule, select, set, set apart, set aside,
   set off, settle, staff, tab, tag, turn out, vote in