Wordnet 3.0
NOUN (2)
1. 
 a cubelike object; 
2. 
 a square-shaped object; 
ADJECTIVE (1)
1. 
 having four sides and four angles; 
The Collaborative International Dictionary of English v.0.48:
Quadrate \Quad"rate\, v. t.
   To adjust (a gun) on its carriage; also, to train (a gun) for
   horizontal firing.
   [1913 Webster]
The Collaborative International Dictionary of English v.0.48:
Quadrate \Quad"rate\, n. [L. quadratum. See Quadrate, a.]
   1. (Geom.) A plane surface with four equal sides and four
      right angles; a square; hence, figuratively, anything
      having the outline of a square.
      [1913 Webster]
            At which command, the powers militant
            That stood for heaven, in mighty quadrate joined.
                                                  --Milton.
      [1913 Webster]
   2. (Astrol.) An aspect of the heavenly bodies in which they
      are distant from each other 90[deg], or the quarter of a
      circle; quartile. See the Note under Aspect, 6.
      [1913 Webster]
   3. (Anat.) The quadrate bone.
      [1913 Webster]
The Collaborative International Dictionary of English v.0.48:
Quadrate \Quad"rate\, a. [L. quadratus squared, p. p. of
   quadrare to make four-cornered, to make square, to square, to
   fit, suit, from quadrus square, quattuor four. See
   Quadrant, and cf. Quadrat, Quarry an arrow, Square.]
   1. Having four equal sides, the opposite sides parallel, and
      four right angles; square.
      [1913 Webster]
            Figures, some round, some triangle, some quadrate.
                                                  --Foxe.
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   2. Produced by multiplying a number by itself; square. "
      Quadrate and cubical numbers." --Sir T. Browne.
      [1913 Webster]
   3. Square; even; balanced; equal; exact. [Archaic] " A
      quadrate, solid, wise man." --Howell.
      [1913 Webster]
   4. Squared; suited; correspondent. [Archaic] " A generical
      description quadrate to both." --Harvey.
      [1913 Webster]
   Quadrate bone (Anat.), a bone between the base of the lower
      jaw and the skull in most vertebrates below the mammals.
      In reptiles and birds it articulates the lower jaw with
      the skull; in mammals it is represented by the malleus or
      incus.
      [1913 Webster]
The Collaborative International Dictionary of English v.0.48:
Quadrate \Quad"rate\, v. i. [imp. & p. p. Quadrated; p. pr. &
   vb. n. Quadrating.] [See Quadrate, a.]
   To square; to agree; to suit; to correspond; -- followed by
   with. [Archaic]
   [1913 Webster]
         The objections of these speculatists of its forms do
         not quadrate with their theories.        --Burke.
   [1913 Webster]
WordNet (r) 3.0 (2006):
quadrate
    adj 1: having four sides and four angles
    n 1: a cubelike object
    2: a square-shaped object
Moby Thesaurus II by Grady Ward, 1.0:
40 Moby Thesaurus words for "quadrate":
   accommodate, accord, adjust, check, comport, conform, correspond,
   cube, cube-shaped, cubed, cubic, cubiform, cuboid, dice, diced,
   dovetail, fit, fit in, form fours, foursquare, go, harmonize,
   make four, oblong, orthogonal, quadrangular, quadratic, quadriform,
   quadrilateral, reconcile, rectangular, rhombic, rhomboid, square,
   suit, tailor, tetragonal, tetrahedral, trapezohedral, trapezoid