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Diophantine Steiner triples

Published online by Cambridge University Press:  23 January 2015

Bojan Hvala*
Affiliation:
Department of Mathematics and Computer Science, University of Maribor, FNM, Koroška cesta 160, 2000 Maribor, Slovenia, e-mail:[email protected]

Extract

Computer programs for dynamic geometry provide a very effective tool for motivating students. It is my experience that a certain effort in preparing an adequate applet and spending some time on a careful presentation can result in a great change of the atmosphere in the classroom. On the other hand, these programs also open new perspectives in geometry exploration and can provoke new interesting research questions related to the already known topics. The possibility of experimenting and the chance of visual examination of the results add new dimensions to research and can also be appealing to non-mathematical audiences.

Type
Articles
Copyright
Copyright © The Mathematical Association 2011

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References

1. Coxeter, H. S. M., Greitzer, S. L., Geometry Revisited, Math. Assoc. Amer., Washington DC (1967).Google Scholar
2. Ogilvy, C. S., Excursions in geometry, Dover Publications, New York (1990).Google Scholar
3. Pedoe, D., Geometry, a comprehensive course, Dover Publications, New York (1988).Google Scholar
4. Weisstein, E. W., Steiner Chain. From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/SteinerChain.html Google Scholar
5. Burn, B., Triangles with a 60° angle and sides of integer length, Math. Gaz., 87 (March 2003) pp. 148153.Google Scholar
6. Gilder, J., Integer-sided triangles with an angle of 60°, Math. Gaz. 66 (December 1982) pp. 261266.Google Scholar
7. Read, E., On integer-sided triangles containing angles of 120° or 60°, Math. Gaz. 90 (July 2006) pp. 299305.CrossRefGoogle Scholar
8. Selkirk, K., Integer-sided triangles with an angle of 120°, Math. Gaz., 67 (December 1983) pp. 251255.CrossRefGoogle Scholar
9. Bos, H. J. M., Kers, C., Oort, F., Raven, D. W., Poncelet's closure theorem, its history, its modem formulation, a comparison of its modem proof with those by Ponce let and Jacobi, and some mathematical remarks inspired by these early proofs, Expositiones Mathematicae 5 (1987) pp. 289364.Google Scholar
10. Kerawala, S. M., Poncelet porism in two circles. Bull. Calcutta Math. Soc. 39 (1947) pp. 85105.Google Scholar
11. Weisstein, E. W., Poncelet's Porism from MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/PonceletsPorism.html Google Scholar