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A Problem in Conics

Published online by Cambridge University Press:  20 January 2009

R. F. Davis
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Extract

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The locus of the focus of a parabola touching three given fixed straight lines is both exceedingly simple and widely known. On the other hand the analogous locus of the focus of a parabola passing through three given fixed points is excessively complicated, and its investigation has, so far as the present writer knows, never appeared in any text-book.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 25 , February 1906 , pp. 15 - 17
Copyright
Copyright © Edinburgh Mathematical Society 1906

References

* This relation is of course true for any straight line.