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Two surprising limits revisited—(2)

Published online by Cambridge University Press:  22 September 2016

D. Sullivan
D. Sullivan*
Affiliation:
Department of Mathematics, University of New Brunswick, Fredericton N.B., Canada
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Extract

In a recent Gazette note (66.31, October 1982) Leonard and Schultz established the limits of two segments of the extended diameter of a unit circle. With reference to Fig. 1, they showed that if an arc of length l and a chord of length l are drawn from a point B on a unit circle, and if a segment, BA, of length l is taken on the tangent at B, then:

The purpose of this note is to show that these results are not only interesting, they are exceptional.

Type
Research Article
Information
The Mathematical Gazette , Volume 67 , Issue 442 , December 1983 , pp. 259 - 261
Copyright
Copyright © Mathematical Association 1983

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