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Finite Geometry by Coordinate Methods

Published online by Cambridge University Press:  03 November 2016

T.J. Fletcher
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Extract

This paper was originally planned as an exposition of finite geometry in a form in which it could be used to illustrate all the work covered in the normal school geometry course. The beginning of it, however, was anticipated by an article for the Gazette by Mr. H. Martyn Cundy (1), which he has kindly allowed me to read before publication. This present paper shows how a coordinate system can be constructed for the geometry described in his article by using the field of residue classes (mod. 5); that is, the Galois field GF(5). A definition of distance is introduced which extends that adopted by Cundy to a form suited to the discussion of a wider range of theorems.

Type
Research Article
Information
The Mathematical Gazette , Volume 37 , Issue 319 , February 1953 , pp. 34 - 38
Copyright
Copyright © The Mathematical Association 1953

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References

BIBLIOGRAPHY

1. Martyn Cundy, H., “25-point Geometry,” Math. Gazette, 36 (1952), p. 158.Google Scholar
2. Veblen, O. and Bussey, W. H., Trans. American Math. Soc, 7 (1906) p. 246.Google Scholar
3. , H. G. and Lieber, L. R., Modern Mathematics for T. C. Mits. (London, 1946).Google Scholar
4. de, G. Robinson, B., The Foundations of Geometry (Toronto, 1940).Google Scholar
5. Hardy, G. H., Pure Mathematics, 7th edition (Cambridge, 1938).Google Scholar
6. Rouse Ball, W. W., Mathematical Recreations, 11th edition (London, 1939).Google Scholar
7. Walker, A. G., Edinburgh Mathematical Notes (May, 1947).Google Scholar