The Collaborative International Dictionary of English v.0.48:

Realize \Re"al*ize\ (r[=e]"al*[imac]z), v. t. [imp. & p. p.
   Realized (-[imac]zd); p. pr. & vb. n. Realizing
   (-[imac]`z[i^]ng).] [Cf. F. r['e]aliser.]
   1. To make real; to convert from the imaginary or fictitious
      into the actual; to bring into concrete existence; to
      effectuate; to accomplish; as, to realize a scheme or
      project.
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            We realize what Archimedes had only in hypothesis,
            weighing a single grain against the globe of earth.
                                                  --Glanvill.
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   2. To cause to seem real; to impress upon the mind as actual;
      to feel vividly or strongly; to make one's own in
      apprehension or experience.
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            Many coincidences . . . soon begin to appear in them
            [Greek inscriptions] which realize ancient history
            to us.                                --Jowett.
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            We can not realize it in thought, that the object .
            . . had really no being at any past moment. --Sir W.
                                                  Hamilton.
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   3. To convert into real property; to make real estate of; as,
      to realize his fortune.
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   4. To acquire as an actual possession; to obtain as the
      result of plans and efforts; to gain; to get; as, to
      realize large profits from a speculation.
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            Knighthood was not beyond the reach of any man who
            could by diligent thrift realize a good estate.
                                                  --Macaulay.
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   5. To convert into actual money; as, to realize assets.
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The Collaborative International Dictionary of English v.0.48:

Realizing \Re"al*i`zing\ (-z[i^]ng), a.
   Serving to make real, or to impress on the mind as a reality;
   as, a realizing view of the danger incurred. --
   Re"al*i`zing*ly, adv.
   [1913 Webster]