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The Division of the Circle

Published online by Cambridge University Press:  03 November 2016

Camillo Manzitti
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Extract

The possibility of solving the problem of the elementary division of a circumference into equal parts was known to the ancients for the cases

n = 2p, n = 3, n = 5, and their products.

Gauss in his Disquisitiones Arithmeticae proved the possibility of solving the problem by quadratics, and therefore geometrically with ruler and the compass, for all the prime numbers of the series

n = 22p + 1.

Type
Research Article
Information
The Mathematical Gazette , Volume 4 , Issue 76 , December 1908 , pp. 377 - 381
Copyright
Copyright © Mathematical Association 1908

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