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Describing a hopeless, meaningless, or vain undertaking. 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 and straightedge. More abstractly and more precisely, it may be taken to ask whether specified axioms of Euclidean geometry [concerning] the existence of lines and circles entail the existence of such a square. In 1882, the task was proven to be [impossible].
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