The Collaborative International Dictionary of English v.0.48:

Offer \Of"fer\, v. t. [imp. & p. p. Offered; p. pr. & vb. n.
   Offering.] [OE. offren, AS. offrian to sacrifice, fr. L.
   offerre; ob (see OB-) + ferre to bear, bring. The English
   word was influenced by F. offrir to offer, of the same
   origin. See 1st Bear.]
   1. To present, as an act of worship; to immolate; to
      sacrifice; to present in prayer or devotion; -- often with
      up.
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            Thou shalt offer every day a bullock for a sin
            offering for atonement.               --Ex. xxix.
                                                  36.
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            A holy priesthood to offer up spiritual sacrifices.
                                                  --1 Pet. ii.
                                                  5.
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   2. To bring to or before; to hold out to; to present for
      acceptance or rejection; as, to offer a present, or a
      bribe; to offer one's self in marriage.
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            I offer thee three things.            --2 Sam. xxiv.
                                                  12.
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   3. To present in words; to proffer; to make a proposal of; to
      suggest; as, to offer an opinion. With the infinitive as
      an objective: To make an offer; to declare one's
      willingness; as, he offered to help me.
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   4. To attempt; to undertake.
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            All that offer to defend him.         --Shak.
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   5. To bid, as a price, reward, or wages; as, to offer a
      guinea for a ring; to offer a salary or reward.
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   6. To put in opposition to; to manifest in an offensive way;
      to threaten; as, to offer violence, attack, etc.
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   Syn: To propose; propound; move; proffer; tender; sacrifice;
        immolate.
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The Collaborative International Dictionary of English v.0.48:

Offer \Of"fer\, v. i.
   1. To present itself; to be at hand.
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            The occasion offers, and the youth complies.
                                                  --Dryden.
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   2. To make an attempt; to make an essay or a trial; -- used
      with at. "Without offering at any other remedy." --Swift.
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            He would be offering at the shepherd's voice.
                                                  --L'Estrange.
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            I will not offer at that I can not master. --Bacon.
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The Collaborative International Dictionary of English v.0.48:

Offer \Of"fer\, n. [Cf. F. offre, fr. offrir to offer, fr. L.
   offerre. See Offer, v. t.]
   1. The act of offering, bringing forward, proposing, or
      bidding; a proffer; a first advance. "This offer comes
      from mercy." --Shak.
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   2. That which is offered or brought forward; a proposal to be
      accepted or rejected; a sum offered; a bid.
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            When offers are disdained, and love denied. --Pope.
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   3. Attempt; endeavor; essay; as, he made an offer to catch
      the ball. "Some offer and attempt." --South.
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WordNet (r) 3.0 (2006):

offer
    n 1: the verbal act of offering; "a generous offer of
         assistance" [syn: offer, offering]
    2: something offered (as a proposal or bid); "noteworthy new
       offerings for investors included several index funds" [syn:
       offer, offering]
    3: a usually brief attempt; "he took a crack at it"; "I gave it
       a whirl" [syn: crack, fling, go, pass, whirl,
       offer]
    v 1: make available or accessible, provide or furnish; "The
         conference center offers a health spa"; "The hotel offers
         private meeting rooms"
    2: present for acceptance or rejection; "She offered us all a
       cold drink" [syn: offer, proffer]
    3: agree freely; "She volunteered to drive the old lady home";
       "I offered to help with the dishes but the hostess would not
       hear of it" [syn: volunteer, offer]
    4: put forward for consideration; "He offered his opinion"
    5: offer verbally; "extend my greetings"; "He offered his
       sympathy" [syn: offer, extend]
    6: make available for sale; "The stores are offering specials on
       sweaters this week"
    7: propose a payment; "The Swiss dealer offered $2 million for
       the painting" [syn: offer, bid, tender]
    8: produce or introduce on the stage; "The Shakespeare Company
       is offering `King Lear' this month"
    9: present as an act of worship; "offer prayers to the gods"
       [syn: offer, offer up]
    10: mount or put up; "put up a good fight"; "offer resistance"
        [syn: put up, provide, offer]
    11: make available; provide; "extend a loan"; "The bank offers a
        good deal on new mortgages" [syn: extend, offer]
    12: ask (someone) to marry you; "he popped the question on
        Sunday night"; "she proposed marriage to the man she had
        known for only two months"; "The old bachelor finally
        declared himself to the young woman" [syn: propose,
        declare oneself, offer, pop the question]
    13: threaten to do something; "I offered to leave the committee
        if they did not accept my proposal"

Moby Thesaurus II by Grady Ward, 1.0:

160 Moby Thesaurus words for "offer":
   accommodation, accord, accordance, adduce, administer, advance,
   afford, allege, allot, allow, approach, array, assay, attempt,
   award, awarding, bestow, bestow on, bestowal, bestowment, bid,
   bid in, bid up, bring forward, bring on, bring to bear, chance,
   cite, come forward, communicate, communication, concession, confer,
   conferment, conferral, contribution, crack, deal, deal out,
   deliverance, delivery, deploy, dish out, dispense, display, dole,
   dole out, donate, donation, effort, endeavor, endowment, engage,
   essay, exhibit, experiment, extend, fling, fork out, furnish,
   furnishment, gambit, gift, gift with, gifting, give, give freely,
   give out, giving, go, grant, granting, hand out, heap, help to,
   hold forth, hold out, impart, impartation, impartment, investiture,
   issue, lavish, lay, let have, liberality, lick, lift a finger,
   make, make a bid, make an attempt, make an effort, make an offer,
   make available, marshal, mete, mete out, move, offer to buy,
   offering, plead, pose, pour, prefer, present, presentation,
   presentment, produce, proffer, proposal, propose, proposition,
   provide, provision, put forth, put forward, put to choice,
   put to vote, put up, rain, rally, render, seek, sell, serve,
   set before, shell out, shill, shot, show, shower, slip, snow, stab,
   step, step forward, strive, stroke, strong bid, struggle, submit,
   subscription, suggest, supplying, surrender, tender, tentative,
   trial, trial and error, try, undertake, undertaking, venture,
   venture on, venture upon, volunteer, vouchsafe, vouchsafement,
   whack, yield



Bouvier's Law Dictionary, Revised 6th Ed (1856):

OFFER, contracts. A proposition to do a thing.
     2. An offer ought to contain a right, if accepted, of compelling the
fulfillment of the contract, and this right when not expressed, is always
implied.
     3. By virtue of his natural liberty, a man may change his will at any
time, if it is not to the injury of another; he may, therefore, revoke or
recall his offers, at any time before they have been accepted; and, in order
to deprive him of this right, the offer must have been accepted on the terms
in which it was made. 10 Ves. 438; 2 C. & P. 553.
     4. Any qualification of, or departure from those terms, invalidates the
offer, unless the same be agreed to by the party who made it. 4 Wheat. R.
225; 3 John. R. 534; 7 John. 470; 6 Wend. 103.
     5. When the offer has been made, the party is presumed to be willing to
enter into the contract for the time limited, and, if the time be not fixed
by the offer, then until it be expressly revoked, or rendered nugatory by a
contrary presumption. 6 Wend. 103. See 8 S. & R. 243; 1 Pick. 278; 10 Pick.
326; 12 John. 190; 9 Porter, 605; 1 Bell's Com. 326, 5th ed.; Poth. Vente,
n. 32; 1 Bouv. Inst. n. 577, et seq.; and see Acceptance of contracts;
Assent;  Bid.