The Three Unsolved Problems of Ancient Greece - Research Article from Science and Its Times

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Squaring the Circle

Squaring the circle became a popular problem wherever it was introduced in the world. There is evidence that the problem was attempted in India, China, and in the Arabic empires during the medieval period. European mathematicians of the Renaissance, including Leonardo da Vinci (1452-1519), were also interested in the problem of squaring the circle. Famous mathematicians such as Carl Friedrich Gauss (1777-1855), Gottfried Leibniz (1646-1716), and Isaac Newton (1642-1727), all of whom searched for better and more accurate methods for approximating the value of π, were in essence working on the problem of squaring the circle. The reason that the calculation of π is so closely tied to squaring the circle is that the problem essentially reduces to constructing a square whose side is the square root of π times the radius of the circle. Therefore...

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This section contains 4,161 words
(approx. 14 pages at 300 words per page)
Buy The Three Unsolved Problems of Ancient Greece Encyclopedia Article
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Science and Its Times
The Three Unsolved Problems of Ancient Greece from Science and Its Times. ©2005-2006 Thomson Gale, a part of the Thomson Corporation. All rights reserved.
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