Chapter Q to Quadrilateral of Q by Webster's Dictionary (1913 Edition)

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." Sir T. Browne.

3. Square; even; balanced; equal; exact. [Archaic] " A quadrate, solid, wise man." Howell.

4. Squared; suited; correspondent. [Archaic] " A generical description quadrate to both." Harvey.

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.

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.

At which command, the powers militant
That stood for heaven, in mighty quadrate joined.

Milton.

2. (Astrol.) An aspect of the heavenly bodies in which they are distant from each other 90°, or the quarter of a circle; quartile. See the Note under Aspect, 6.

3. (Anat.) The quadrate bone.

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]

The objections of these speculatists of its forms do not quadrate with their theories.

Burke.

Quadrate
(Quad"rate), v. t. To adjust (a gun) on its carriage; also, to train (a gun) for horizontal firing.

Quadratic
(Quad*rat"ic) a. [Cf. F. quadratique.]

1. Of or pertaining to a square, or to squares; resembling a quadrate, or square; square.

2. (Crystallog.) Tetragonal.

3. (Alg.) Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.

Quadratics
(Quad*rat"ics) n. (Alg.) That branch of algebra which treats of quadratic equations.

Quadratojugal
(Quad*ra`to*ju"gal) a. (Anat.) (a) Of or pertaining to the quadrate and jugal bones. (b) Of or pertaining to the quadratojugal bone. — n. The quadratojugal bone.

Quadratojugal bone (Anat.), a bone at the base of the lower jaw in many animals.

Quadratrix
(Quad*ra"trix) n.; pl. -trixes or -trices [NL.] (Geom.) A curve made use of in the quadrature of other curves; as the quadratrix, of Dinostratus, or of Tschirnhausen.

Quadrature
(Quad"ra*ture) n. [L. quadratura: cf. F. quadrature. See Quadrate, a.]

1. (Math.) The act of squaring; the finding of a square having the same area as some given curvilinear figure; as, the quadrature of a circle; the operation of finding an expression for the area of a figure bounded wholly or in part by a curved line, as by a curve, two ordinates, and the axis of abscissas.