Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-25T01:13:55.187Z Has data issue: false hasContentIssue false
  • English
  • Français

Theory of the General Frégier-Point*

Published online by Cambridge University Press:  03 November 2016

A. A. Krishnaswami Ayyangar
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.