Hostname: page-component-7b7567c8c-2rsb6 Total loading time: 0 Render date: 2026-11-12T09:43:05.249Z Has data issue: false hasContentIssue false
  • English
  • Français

Some recent discoveries in elementary geometry

Published online by Cambridge University Press:  01 August 2016

Paul Scott
Paul Scott*
Affiliation:
Department of Pure Mathematics, University of Adelaide, South Australia 5005
Get access

Extract

I have always disagreed with government ministers who assert that it is a good idea to separate teaching from research at the universities. For I believe that with mathematics, research and good teaching go hand in hand. And if we interpret ‘research’ in its widest terms of questioning, discovery, involvement, etc, then I believe that the same holds true at the school level. Mathematics needs to be taught as a vibrant, living subject which challenges the intellect and the imagination, not as a dusty collection of historical facts. Further, asking questions is just as much fun as answering them!

Information

Type
Articles
Information
The Mathematical Gazette , Volume 81 , Issue 492 , November 1997, pp. 391 - 397
Copyright
Copyright © The Mathematical Association 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1. Parthasrathy, K. R. A generalization of Ceva’s theorem to higher dimension, American Mathematical Monthly 95, pp. 137–140 (1978).Google Scholar
2. Ward, I. The tritet rule, Math. Gaz. 79 (July 1995) pp. 380–382.CrossRefGoogle Scholar
3. Bell, R. J. T. Coordinate geometry of three dimensions, Macmillan (1910).Google Scholar
4. Klamkin, M. S. Simultaneous triangle inequalities, Mathematics Magazine 60 (1987) pp. 236–237.CrossRefGoogle Scholar
5. Veldkamp, G. R. The isoperimetric point and the point(s) of equal detour in a triangle, American Mathematical Monthly, 92 (1985) pp. 546–558.CrossRefGoogle Scholar
6. Landy, S. A generalization of Ceva’s theorem to higher dimension, American Mathematical Monthly 95 (1988) pp. 137–140.CrossRefGoogle Scholar
7. Rigby, J. F. Napoleon revisited, Journal of Geometry 33 (1988) pp. 129–146.CrossRefGoogle Scholar
8. Brooks, R. L. Smith, C. A. B. Stone, A. H. Tutte, W. T. The dissection of rectangles into squares, Duke Mathematical Journal 7 (1940) pp. 312–340.CrossRefGoogle Scholar
9. Tutte, W. T. The dissection of equilateral triangles into equilateral triangles, Proceedings of the Cambridge Philosophical Society 44 (1948) pp. 463–482.CrossRefGoogle Scholar
10. Buchman, E. The impossibility of tiling a convex region with unequal equilateral triangles, American Mathematical Monthly 88 (1981) pp. 748–753.CrossRefGoogle Scholar
11. Wagon, S. Fourteen proofs of a result about tiling a rectangle, American Mathematical Monthly 94 (1987) pp. 601–617.CrossRefGoogle Scholar