Minimal Perimeter Triangles

  • Mark Levi
  • Published 2002 in The American Mathematical Monthly


1. INTRODUCTION. Physics often provides mathematics not only with a problem, but also with the idea of a solution. Physical reasoning has traditionally been a fruitful source of mathematical invention, having played a key role in some of the main discoveries of Archimedes, Bernoulli, and Riemann, among many others. In this article we give a much more modest example of a mathematical result that the author has discovered by means of a physical argument. We will also provide a one-paragraph physical proof of Ceva's theorem used in the discussion (and stated as Theorem 6).

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Cite this paper

@article{Levi2002MinimalPT, title={Minimal Perimeter Triangles}, author={Mark Levi}, journal={The American Mathematical Monthly}, year={2002}, volume={109}, pages={890-899} }