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4. On an Equation in Quaternion Differences

Published online by Cambridge University Press:  15 September 2014

Tait
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Extract

When the sides of a closed polygon are bisected, and the points of bisection joined in order, a new polygon is formed. It has the same number of sides, and the same mean point of its corners, as the original polygon. In what cases is it similar to the original polygon? In what cases will two, three, or more successive operations of this kind produce (for the first time) a polygon similar to the original one?

Type
Proceedings 1882-83
Information
Proceedings of the Royal Society of Edinburgh , Volume 12 , 1884 , pp. 561 - 562
Copyright
Copyright © Royal Society of Edinburgh 1884

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