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From 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. [1913 Webster] 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]