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created brief new article "Squaring the circle", including links
'''Squaring the Circle''' refers to a classic mathematical challenge originated in [[Classical Antiquity|classical antiquity]]:
:Construct a square equal in area to a circle using only a straightedge and compass. This was one of the three geometric problems of antiquity, and was perhaps first attempted by Anaxagoras. It was finally proved to be an impossible problem when pi was proven to be transcendental by Lindemann in 1882.
;Section of a cylinder as a squared circle
:As a joke, a circle can simultaneously present a square if a perfectly round [[cylinder]] is produced with a sectional length equal to its measured diameter. Looked at from the side it presents a square configuration. Looked at from the end it presents a circular configuration. The circle coexists as a square object and the square coexists as a circular object. The circle has been squared and the square has been circled, by the shaping of one cylinder. It absolutely depends on your "point of view".
==External links==
[https://mathworld.wolfram.com/CircleSquaring.html Circle Squaring (mathworld.wolfram.com)]
[[category:Mathematics]]
:Construct a square equal in area to a circle using only a straightedge and compass. This was one of the three geometric problems of antiquity, and was perhaps first attempted by Anaxagoras. It was finally proved to be an impossible problem when pi was proven to be transcendental by Lindemann in 1882.
;Section of a cylinder as a squared circle
:As a joke, a circle can simultaneously present a square if a perfectly round [[cylinder]] is produced with a sectional length equal to its measured diameter. Looked at from the side it presents a square configuration. Looked at from the end it presents a circular configuration. The circle coexists as a square object and the square coexists as a circular object. The circle has been squared and the square has been circled, by the shaping of one cylinder. It absolutely depends on your "point of view".
==External links==
[https://mathworld.wolfram.com/CircleSquaring.html Circle Squaring (mathworld.wolfram.com)]
[[category:Mathematics]]