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A Theorem on Harmonic Homologies

Published online by Cambridge University Press:  20 November 2018

J. E. Marsden
J. E. Marsden*
Affiliation:
University of Toronto
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A collineation is a one-one mapping of a projective plane onto itself, taking points into points, lines into lines and preserving incidence, ([1], p. 247). A perspective collineation (sometimes called a central collineation) is a collineation which leaves invariant all points on a line h called the axis, and all lines through a point H called the centre. The perspective collineation is an elation if H is incident with h; otherwise it is a homology.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 3 , April 1965 , pp. 375 - 377
Copyright
Copyright © Canadian Mathematical Society 1965

Footnotes

*

Mr. Marsden is an undergraduate at the University of Toronto. (Editor)

References

1. Coxeter, H.S.M., Introduction to Geometry, John Wiley and Sons Inc. New York, 1961.Google Scholar
2. Coxeter, H.S.M., The Real Projective Plane (2nd ed), Cambridge University Press, London, 1955.Google Scholar