n. [ Pref. bi- + quadrate. ] (Math.) The fourth power, or the square of the square. Thus 4x4=16, the square of 4, and 16x16=256, the biquadrate of 4. [ 1913 Webster ]

a. [ Pref. bi- + quadratic: cf. F. biquadratique. ] (Math.) Of or pertaining to the biquadrate, or fourth power. [ 1913 Webster ]

Biquadratic equation (Alg.), an equation of the fourth degree, or an equation in some term of which the unknown quantity is raised to the fourth power. --
Biquadratic root of a number, the square root of the square root of that number. Thus the square root of 81 is 9, and the square root of 9 is 3, which is the biquadratic root of 81. Hutton. [ 1913 Webster ]

n. (Math.) (a) A biquadrate. (b) A biquadratic equation. [ 1913 Webster ]

v. t. [ L. conquadratus, p. p. of conquadrare. ] To bring into a square. [ R. ] Ash. [ 1913 Webster ]

a. [ Pterygoid + quadrate. ] (Anat.) Of, pertaining to, or representing the pterygoid and quadrate bones or cartilages. [ 1913 Webster ]

n. [ F. quadrat, cadrat. See Quadrate. ] 1. (Print.) A block of type metal lower than the letters, -- used in spacing and in blank lines. [ Abbrev. quad. ] [ 1913 Webster ]

2. An old instrument used for taking altitudes; -- called also geometrical square, and line of shadows. [ 1913 Webster ]

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 ]

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°, or the quarter of a circle; quartile. See the Note under Aspect, 6. [ 1913 Webster ]

3. (Anat.) The quadrate bone. [ 1913 Webster ]

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 ]

v. t. To adjust (a gun) on its carriage; also, to train (a gun) for horizontal firing. [ 1913 Webster ]

a. [ Cf. F. quadratique. ] [ 1913 Webster ]

1. Of or pertaining to a square, or to squares; resembling a quadrate, or square; square. [ 1913 Webster ]

2. (Crystallog.) Tetragonal. [ 1913 Webster ]

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. [ 1913 Webster ]

n. (Alg.) That branch of algebra which treats of quadratic equations. [ 1913 Webster ]

a. (Anat.) (a) Of or pertaining to the quadrate and jugal bones. (b) Of or pertaining to the quadratojugal bone. -- n. The quadratojugal bone. [ 1913 Webster ]

Quadratojugal bone (Anat.), a bone at the base of the lower jaw in many animals. [ 1913 Webster ]

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. [ 1913 Webster ]

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. [ 1913 Webster ]

2. A quadrate; a square. Milton. [ 1913 Webster ]

3. (Integral Calculus) The integral used in obtaining the area bounded by a curve; hence, the definite integral of the product of any function of one variable into the differential of that variable. [ 1913 Webster ]

4. (Astron.) The position of one heavenly body in respect to another when distant from it 90°, or a quarter of a circle, as the moon when at an equal distance from the points of conjunction and opposition. [ 1913 Webster ]

Quadrature of the moon (Astron.), the position of the moon when one half of the disk is illuminated. --
Quadrature of an orbit (Astron.), a point in an orbit which is at either extremity of the latus rectum drawn through the empty focus of the orbit. [ 1913 Webster ]

{ } n. (Astrol.) An aspect of the planets when distant from each other the half of a quadrant, or forty-five degrees, or one sign and a half. Hutton. [ 1913 Webster ]

a. Nearly or approximately square; almost square. [ 1913 Webster ]