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On Chords of a Conic which touch Another Conic

Published online by Cambridge University Press:  03 November 2016

R. L. Goodstein
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Extract

A closed conic C is completely contained inside a closed conic S. From any point 1 on S we draw a tangent 1, 2 to C meeting S again at 2. From 2 we draw the tangent 2, 3 meeting S again at 3, and so on ; for any n, the tangent to C from the point n on S meets S again at n + 1.

Type
Research Article
Information
The Mathematical Gazette , Volume 24 , Issue 259 , May 1940 , pp. 103 - 105
Copyright
Copyright © Mathematical Association 1940

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References

* Mr. H. D. Ursell has proved the stronger result that if the polygon 1, 2, 3, ... n is not closed then the set of points is dense-in-itself.