squaring (of) the circle

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

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

• 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

• To square the circle — Square Square, v. t. [imp. & p. p. {Squared} (skw[^a]rd); p. pr. & vb. n. {Squaring}.] [Cf. OF. escarrer, esquarrer. See {Square}, n.] 1. To form with four equal sides and four right angles. Spenser. [1913 Webster] 2. To form with right angles… …   The Collaborative International Dictionary of English

• quadrature of the circle — Math. 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] * * * …   Universalium

• 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

• squaring the circle — noun a) The historical problem of how to construct, using compass and ruler, a square having the same area as a given circle. b) A hopeless or impossible …   Wiktionary

• squaring the circle — problem which has no solution, redundant problem (like making a circle into a square) …   English contemporary dictionary

• square the circle — When someone is squaring the circle, they are trying to do something impossible …   The small dictionary of idiomes