squaring of 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 — 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

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

• Squaring the square — is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer length.) The name was coined in a humorous analogy with squaring the circle. Squaring the square is an easy… …   Wikipedia

• Circle — This article is about the shape and mathematical concept. For other uses, see Circle (disambiguation). Circle illustration showing a radius, a diameter, the centre and the circumference …   Wikipedia

• Squaring — 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

• Tarski's circle-squaring problem — is the challenge, posed by Alfred Tarski in 1925, to take a disc in the plane, cut it into finitely many pieces, and reassemble the pieces so as to get a square of equal area. This was proven to be possible by Miklós Laczkovich in 1990; the… …   Wikipedia

• List of circle topics — This list of circle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely in physical space. It does not include metaphors like inner circle or circular reasoning in… …   Wikipedia