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From: Webster's Revised Unabridged Dictionary (1913)

 Quad·rate a.
 1. Having four equal sides, the opposite sides parallel, and four right angles; square.
    Figures, some round, some triangle, some quadrate.   --Foxe.
 2. Produced by multiplying a number by itself; square. Quadrate and cubical numbers.”
 3. Square; even; balanced; equal; exact. [Archaic] A quadrate, solid, wise man.”
 4. Squared; suited; correspondent. [Archaic] A generical description quadrate to both.”
 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.