quadrature of the circle


quadrature of the circle
the insoluble problem of constructing, by the methods of Euclidean geometry, a square equal in area to a given circle. Also called squaring the circle.
[1590-1600]

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Universalium. 2010.

Look at other dictionaries:

  • 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


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