The Collaborative International Dictionary of English v.0.48:

Engage \En*gage"\, v. i.
   1. To promise or pledge one's self; to enter into an
      obligation; to become bound; to warrant.
      [1913 Webster]

            How proper the remedy for the malady, I engage not.
                                                  --Fuller.
      [1913 Webster]

   2. To embark in a business; to take a part; to employ or
      involve one's self; to devote attention and effort; to
      enlist; as, to engage in controversy.
      [1913 Webster]

   3. To enter into conflict; to join battle; as, the armies
      engaged in a general battle.
      [1913 Webster]

   4. (Mach.) To be in gear, as two cogwheels working together.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Engage \En*gage"\, v. t. [imp. & p. p. Engaged; p. pr. & vb.
   n. Engaging.] [F. engager; pref. en- (L. in) + gage pledge,
   pawn. See Gage.]
   1. To put under pledge; to pledge; to place under obligations
      to do or forbear doing something, as by a pledge, oath, or
      promise; to bind by contract or promise. "I to thee
      engaged a prince's word." --Shak.
      [1913 Webster]

   2. To gain for service; to bring in as associate or aid; to
      enlist; as, to engage friends to aid in a cause; to engage
      men for service.
      [1913 Webster]

   3. To gain over; to win and attach; to attract and hold; to
      draw.
      [1913 Webster]

            Good nature engages everybody to him. --Addison.
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   4. To employ the attention and efforts of; to occupy; to
      engross; to draw on.
      [1913 Webster]

            Thus shall mankind his guardian care engage. --Pope.
      [1913 Webster]

            Taking upon himself the difficult task of engaging
            him in conversation.                  --Hawthorne.
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   5. To enter into contest with; to encounter; to bring to
      conflict.
      [1913 Webster]

            A favorable opportunity of engaging the enemy.
                                                  --Ludlow.
      [1913 Webster]

   6. (Mach.) To come into gear with; as, the teeth of one
      cogwheel engage those of another, or one part of a clutch
      engages the other part.
      [1913 Webster]

WordNet (r) 3.0 (2006):

engage
    v 1: carry out or participate in an activity; be involved in;
         "She pursued many activities"; "They engaged in a
         discussion" [syn: prosecute, engage, pursue]
    2: consume all of one's attention or time; "Her interest in
       butterflies absorbs her completely" [syn: absorb,
       engross, engage, occupy]
    3: engage or hire for work; "They hired two new secretaries in
       the department"; "How many people has she employed?" [syn:
       hire, engage, employ] [ant: can, dismiss,
       displace, fire, force out, give notice, give the
       axe, give the sack, sack, send away, terminate]
    4: ask to represent; of legal counsel; "I'm retaining a lawyer"
    5: give to in marriage [syn: betroth, engage, affiance,
       plight]
    6: get caught; "make sure the gear is engaged" [ant:
       disengage]
    7: carry on (wars, battles, or campaigns); "Napoleon and Hitler
       waged war against all of Europe" [syn: engage, wage]
    8: hire for work or assistance; "engage aid, help, services, or
       support" [syn: engage, enlist]
    9: engage for service under a term of contract; "We took an
       apartment on a quiet street"; "Let's rent a car"; "Shall we
       take a guide in Rome?" [syn: lease, rent, hire,
       charter, engage, take]
    10: keep engaged; "engaged the gears" [syn: engage, mesh,
        lock, operate] [ant: disengage, withdraw]

The Free On-line Dictionary of Computing (19 January 2023):

engage

    Do you mean Nokia N-Gage?

   (2005-01-18)