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Triangles of triangles

Published online by Cambridge University Press:  22 September 2016

H. B. Griffiths
H. B. Griffiths*
Affiliation:
Faculty of Mathematical Studies, University of Southampton, Southampton S09 5NH
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Extract

In this article we shall study the ‘shape’ of a triangle, and its relation to the area formula

Δ = √(s(s - a)(s - b)(s - c))

that occupied the time of sixth formers long ago. In so doing we shall resurrect a little ‘Durrel-type’ geometry, and introduce some ideas from the qualitative theory of differential equations, which are becoming increasingly familiar to undergraduates.

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Type
Research Article
Information
The Mathematical Gazette , Volume 65 , Issue 431 , March 1981, pp. 10 - 19
Copyright
Copyright © Mathematical Association 1981

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References

1. Davis, H. T., Introduction to Nonlinear differential and integral equations. Dover (1962).Google Scholar
2. Griffiths, H. B. and Hilton, P. J., Classical Mathematics. Springer, (1979).Google Scholar
3. Hirsch, M. and Smale, S., Differential Equations, Dynamical Systems and Linear Algebra. Academic Press (1974).Google Scholar
4. Rosen, R., Dynamical System theory in Biology, Vol. 1. Wiley (1970).Google Scholar
5. Robertson, S. A. R., Classifying triangles and quadrilaterals, Mathl. Gaz. 61, 38–48 (No. 415, March 1977).CrossRefGoogle Scholar
6. Volterra, V., Legons sur la theorie mathematique de la luttepour la vie, Paris (1931).Google Scholar