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Cross ratio in use

Published online by Cambridge University Press:  23 January 2015

Sándor Dobos
Sándor Dobos*
Affiliation:
Fazekas Mihály HS, 1082 Budapest, Hungary
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Extract

As a preparation for the International Mathematical Olympiad there is a common training week for the UK and the Hungarian squads. Recently I gave a talk about cross ratio there. This weapon is not one of the most frequently used mathematical techniques. When attacking a problem, we ask what are the signs that cross ratio might be of use in finding a solution? Are there typical situations which invite us to use it? In this paper we make some suggestions about answering such questions. The reader will find proofs for well-known theorems and solutions of various problems using cross ratio.

Type
Articles
Information
The Mathematical Gazette , Volume 95 , Issue 534 , November 2011 , pp. 444 - 453
Copyright
Copyright © The Mathematical Association 2011

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References

1. Coxeter, H. S. M., Projective Geometry (2nd edn.), Springer-Verlag (1987).Google Scholar
2. Bohner, G., http://www.komal.hu/forum/geometria comment no. 97. (2004).Google Scholar