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Transformation Geometry in the Plane by Complex Number Methods

Published online by Cambridge University Press:  03 November 2016

F. J. Budden
F. J. Budden*
Affiliation:
3 Woodlands, Gosforth Newcastle upon Tyne, 3
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Extract

The object of this article is to show how the problems of transformation geometry, and in particular the determination of the composition of two or more successive transformations, can be solved far more easily by Argand diagram methods leading to algebraic equations involving complex numbers, rather than by purely geometric considerations. It must be conceded, of course, that the methods advocated here cannot be extended to three dimensions.

Type
Research Article
Information
The Mathematical Gazette , Volume 53 , Issue 383 , February 1969 , pp. 19 - 31
Copyright
Copyright © Mathematical Association 1969

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References

1. Coxeter, H. S. M., Introduction to Geometry, Wiley.Google Scholar
2. Jeger, Max, Geometric Transformations, Allen & Unwin.Google Scholar
3. Morley, F. and Morley, F. V., Inversive Geometry, Bell.Google Scholar
4. Yaglom, I. M., Geometric Transformations, Ramdom House Google Scholar
5. Budden, F. J., Complex Numbers and Their Applications, Longmans, 1968.Google Scholar