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A generalisation of π

Published online by Cambridge University Press:  03 November 2016

Derek G. Ball
Derek G. Ball*
Affiliation:
College of St. Mark and St. John, Derriford Road, Plymouth
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Extract

The number π signifies the ratio of circumference to diameter of a circle, and the definition depends upon the fact that the value of this ratio is independent of the size of the circle. We can determine a similar ratio for any shape by replacing circumference by perimeter and diameter by width.

Type
Research Article
Information
The Mathematical Gazette , Volume 57 , Issue 402 , December 1973 , pp. 298 - 303
Copyright
Copyright © Mathematical Association 1973

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References

1. Eggleston, H. G., Convexity, pp. 89 and 127. Cambridge University Press.Google Scholar