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A Simple Method of Finding any Number of Square Numbers whose Sum is a Square

Published online by Cambridge University Press:  20 January 2009

Artemas Martin
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I.—Take the well-known identity

Now if we can transform 4wz into a square we shall have two square numbers whose sum is a square. This will be effected by taking w = p2, z = q2, for then 4wz = 4p2q2 = (2pq)2 and we have

See Mathematical Magazine, Vol. II., No. 5, p.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 14 , February 1895 , pp. 113 - 115
Copyright
Copyright © Edinburgh Mathematical Society 1895