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The Projective Antecedent of the Three Reflection Theorem

Published online by Cambridge University Press:  20 November 2018

F. A. Sherk
F. A. Sherk*
Affiliation:
University of Toronto Toronto, Ontario, Canada M5S 1A1
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Abstract

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A complete answer is given to the question: Under what circumstances is the product of three harmonic homologies in PG(2, F) again a harmonic homology ? This is the natural question to ask in seeking a generalization to projective geometry of the Three Reflection Theorem of metric geometry. It is found that apart from two familiar special cases, and with one curious exception, the necessary and sufficient conditions on the harmonic homologies produce exactly the Three Reflection Theorem.

Keywords

51A3051F1551N15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 2 , 01 June 1991 , pp. 265 - 274
Copyright
Copyright © Canadian Mathematical Society 1991

References

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