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A Focus-Sharing Set of Three Conics

Published online by Cambridge University Press:  03 November 2016

E. H. Neville
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Extract

If P is a point of intersection of two conics which have one common focus, then e1 |PM1| =e2 |PM2|. It follows that if the two directrices cut in O, then OP passes through a second point of intersection, and that if directions of measurement perpendicular to the directrices are assigned, the equations e1 . M1P = ±e2M2P give two of the chords of intersection, we may say that these are the chords associated with the common focus.

Type
Research Article
Information
The Mathematical Gazette , Volume 20 , Issue 239 , July 1936 , pp. 182 - 183
Copyright
Copyright © Mathematical Association 1936 

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