**quadrature of the circle** — a problem in mathematics that consists of finding the side of a square exactly equal in area to a given circular area and that has been shown to be impossible of solution by geometric methods limited to the use of ruler and compass alone * * *… … Useful english dictionary

**quadrature of the circle** — noun The problem, proposed by ancient Greek geometers, of using a finite ruler and compass construction to make a square with the same area as a given circle. Syn: squaring the circle … Wiktionary

**quadrature of the circle** — noun the mathematical problem of constructing, subject to certain conditions, a square equal in area to a given circle … Australian English dictionary

**Quadrature of the moon** — 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… … The Collaborative International Dictionary of English

**square of the circle** — quadrature of the circle … Useful english dictionary

**squaring the circle** — quadrature of the circle * * * squaring the circle 1. Finding a square of the same area as a circle, which for hundreds of years was attempted by Euclidean means (ie with straight edge and compass) until in 1882 it was proved impossible (also… … Useful english dictionary

**Squaring the circle** — Squaring the circle: the areas of this square and this circle are equal. In 1882, it was proven that this figure cannot be constructed in a finite number of steps with an idealized compass and straightedge … Wikipedia

**squaring the circle.** — See quadrature of the circle. * * * … Universalium

**squaring the circle.** — See quadrature of the circle … Useful english dictionary

**Quadrature** — Quadrature, derived from Latin quadrare , may refer to:In signal processing: *Quadrature amplitude modulation (QAM), a modulation method of using both a carrier wave and a quadrature carrier wave that is 90° out of phase with the main carrier… … Wikipedia