The Collaborative International Dictionary of English v.0.48:

Compose \Com*pose"\ (k[o^]m*p[=o]z"), v. t. [imp. & p. p.
   Composed; p. pr. & vb. n. Composing.] [F. composer; com-
   + poser to place. The sense is that of L. componere, but the
   origin is different. See Pose, v. t.]
   1. To form by putting together two or more things or parts;
      to put together; to make up; to fashion.
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            Zeal ought to be composed of the highest degrees of
            all pious affection.                  --Bp. Sprat.
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   2. To form the substance of, or part of the substance of; to
      constitute.
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            Their borrowed gold composed
            The calf in Oreb.                     --Milton.
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            A few useful things . . . compose their intellectual
            possessions.                          --I. Watts.
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   3. To construct by mental labor; to design and execute, or
      put together, in a manner involving the adaptation of
      forms of expression to ideas, or to the laws of harmony or
      proportion; as, to compose a sentence, a sermon, a
      symphony, or a picture.
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            Let me compose
            Something in verse as well as prose.  --Pope.
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            The genius that composed such works as the
            "Standard" and "Last Supper".         --B. R.
                                                  Haydon.
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   4. To dispose in proper form; to reduce to order; to put in
      proper state or condition; to adjust; to regulate.
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            In a peaceful grave my corpse compose. --Dryden.
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            How in safety best we may
            Compose our present evils.            --Milton.
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   5. To free from agitation or disturbance; to tranquilize; to
      soothe; to calm; to quiet.
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            Compose thy mind;
            Nor frauds are here contrived, nor force designed.
                                                  --Dryden.
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   6. (Print.) To arrange (types) in a composing stick in order
      for printing; to set (type).
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The Collaborative International Dictionary of English v.0.48:

Composed \Com*posed"\, a.
   Free from agitation; calm; sedate; quiet; tranquil;
   self-possessed.
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         The Mantuan there in sober triumph sate,
         Composed his posture, and his look sedate. --Pope.
   -- Com*pos"ed*ly, adv. -- Com*pos"ed*ness, n.
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WordNet (r) 3.0 (2006):

composed
    adj 1: serenely self-possessed and free from agitation
           especially in times of stress; "the performer seemed
           completely composed as she stepped onto the stage"; "I
           felt calm and more composed than I had in a long time"
           [ant: discomposed]