The Collaborative International Dictionary of English v.0.48:

Drape \Drape\ (dr[=a]p), v. t. [imp. & p. p. Draped; p. pr. &
   vb. n. Draping.] [F. draper, fr. drap cloth. See 3d
   Drab.]
   1. To cover or adorn with drapery or folds of cloth, or as
      with drapery; as, to drape a bust, a building, etc.
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            The whole people were draped professionally. --De
                                                  Quincey.
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            These starry blossoms, [of the snow] pure and white,
            Soft falling, falling, through the night,
            Have draped the woods and mere.       --Bungay.
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   2. To rail at; to banter. [Obs.] --Sir W. Temple.
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The Collaborative International Dictionary of English v.0.48:

Drape \Drape\, v. i.
   1. To make cloth. [Obs.] --Bacon.
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   2. To design drapery, arrange its folds, etc., as for
      hangings, costumes, statues, etc.
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WordNet (r) 3.0 (2006):

drape
    n 1: hanging cloth used as a blind (especially for a window)
         [syn: curtain, drape, drapery, mantle, pall]
    2: the manner in which fabric hangs or falls; "she adjusted the
       drape of her skirt"
    3: a sterile covering arranged over a patient's body during a
       medical examination or during surgery in order to reduce the
       possibility of contamination
    v 1: arrange in a particular way; "drape a cloth"
    2: place casually; "The cat draped herself on the sofa"
    3: cover as if with clothing; "the mountain was clothed in
       tropical trees" [syn: clothe, cloak, drape, robe]
    4: cover or dress loosely with cloth; "drape the statue with a
       sheet"