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"