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Definition of quadrature : 1. A quadrate; a square.
2. 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.
3. 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.
4. 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.

Synonyms:

quadrennium, four, quartet, quadrilateral, quadrille, rectangle, foursome, quadrangle, square

Usage examples:

• Because some years previously in 1886 when occupied with the problem of the quadrature of the circle he had learned of the existence of a number computed to a relative degree of accuracy to be of such magnitude and of so many places, e. - "Ulysses", James Joyce.
• A solution of the secular problem of the quadrature of the circle, government premium 1, 000, 000 pounds sterling. - "Ulysses", James Joyce.
• The Moon is then a semi- circle, or in quadrature. - "The Astronomy of Milton's 'Paradise Lost'", Thomas Orchard.