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Theory of the General Frégier-Point*

Published online by Cambridge University Press:  03 November 2016

A. A. Krishnaswami Ayyangar
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Extract

It is proposed to discuss in this paper some properties of the general Frégier-point and point out its connections with well known conics like the Apollonian hyperbola and the nine-point conic of a quadrangle. Incidentally, we discover a pedal conic of a quadrangle which has very intimate relations with the nine-point conic.

Type
Research Article
Information
The Mathematical Gazette , Volume 20 , Issue 239 , July 1936 , pp. 191 - 198
Copyright
Copyright © Mathematical Association 1936 

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Footnotes

*

I am indebted to Mr. V Ramaswami Aiyar for the substance of the theorems marked with an asterisk(∗). For the proof, however, I am entirely responsible.

References

Page 194 of note * This theorem is not exactly new. The substance of it can be traced to J. Wolstenholme’s Mathematical Problems, p.211, Q. 1267.