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Applications of extended convex coordinates

Published online by Cambridge University Press:  01 August 2016

J. N. Boyd  and
P. N. Raychowdhury
J. N. Boyd
Affiliation:
Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, Virginia 23284-0001, U.S.A.
P. N. Raychowdhury
Affiliation:
Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, Virginia 23284-0001, U.S.A.
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Extract

Applications of convex coordinates are many and varied in mathematics today. Our first interest in convex coordinates grew out of their use in linear programming, e.g. [1]. That interest has remained quite lively as the study of convex coordinates continues to yield pleasing and sometimes unexpected results, e.g. [2,3]. Another name for these coordinates which may be more familiar to the reader is that of barycentric coordinates as originally given by the German mathematician Möbius. In this article we shall confine our attention to the Euclidean plane, but convex coordinates may be defined in Euclidean spaces of any dimension.

Type
Research Article
Information
The Mathematical Gazette , Volume 71 , Issue 457 , October 1987 , pp. 209 - 214
Copyright
Copyright © The Mathematical Association 1987

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References

1. Boyd, J.N. and Raychowdhury, P.N., The Most Likely Triangle, European Journal of Physics 3, 245–246 (1982).Google Scholar
2. Boyd, J.N. and Raychowdhury, P.N., The Incenter of a Tetrahedron, Mathematics and Computer Education 18, 206–208 (1984).Google Scholar
3. Boyd, J.N. and Raychowdhury, P.N., An Elegant Experiment in Mechanical Equilibrium, Physics Education 20, 248–249 (1985).Google Scholar