Joan Armatrading - Biography
Born on the island of St. Kitts, British singer/songwriter Joan Armatrading was her country's first black woman to make commercial inroads into her ch... More »Review by Steve Huey
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Squaring the circle - Wikipedia, the free encyclopedia
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Squaring the circle is a problem proposed by ancient geometers. It is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass a...
en.wikipedia.org/wiki/Squaring_the_circle
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Squaring the Circle, i.e. constructing a square whose area equals that of a given circle, is one of the three famous construction problems of antiquity. Its (negative) solution was eventually obtained in 1882 from the following theorem by the German mathematician Lindemann:
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www.cut-the-knot.org/impossible/sq_circle.shtml
www.cut-the-knot.org/impossible/sq_circle.shtml
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The first mathematician who is on record as having attempted to square the circle is Anaxagoras. Plutarch, in his work On Exile which was written in the first century AD, says [4]:-
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www-history.mcs.st-and.ac.uk/HistTopics/Squaring_the_ci...
www-history.mcs.st-and.ac.uk/HistTopics/Squaring_the_circle.html
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The following is a proof that given an arbitrary circle, it is impossible to construct a square of the same area using only straight edge and compass.
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www.geom.uiuc.edu/docs/forum/square_circle/
www.geom.uiuc.edu/docs/forum/square_circle/
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www.circlesquare.org/
www.circlesquare.org/
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You may have heard the saying, "you can't square the circle" - meaning "you can't do the impossible." We'll talk with a mathematician about the resolution of a problem with no solution - after this on Earth and Sky:
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www.msri.org/activities/pastprojects/jir/bwachtel/CantS...
www.msri.org/activities/pastprojects/jir/bwachtel/CantSquaretheCircle.html
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It is not possible to square a circle. In other words, it is not possible to draw (with straight edge, compass and pencil only) a square exactly equal in area to a given circle. This problem was set by the Greeks two thousand years ago and was only put to rest with Lindemann's discovery.
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Squaring the circle, constructing a square equal in area to a given circle, is one of the three classic unsolved problems of antiquity. They are all known to be unsolvable under the rules used by the Greeks. If the circle has unit radius, the problem amounts to constructing a line with length square root of pi.
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www.uwgb.edu/dutchs/PSEUDOSC/SquareCirc.htm
www.uwgb.edu/dutchs/PSEUDOSC/SquareCirc.htm
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