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A Problem on Circles

Published online by Cambridge University Press:  03 November 2016

E. R. Reifenberg
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Extract

In connection with a general form of the covering principle and the relative differentiation of additive functions Mr. A. S. Besicovitch has proved that given a unit circle C with centre O, then any set of circles satisfying the conditions

1. Each circle of the set meets (or touches) C;

A. 2. Each circle of the set has radius not less than 1;

3. No circle contains O or the center of any other circle of the set, has less than 22 members.

Type
Research Article
Information
The Mathematical Gazette , Volume 32 , Issue 302 , December 1948 , pp. 290 - 292
Copyright
Copyright © Mathematical Association 1948 

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References

page 290 note * Proc. Camb. Phil. Soc, Vol. 41, part 2.