A dynamic proof of Thébault’s theorem
Gerhard Wanner
Université de Genève, SwitzerlandAlexander Ostermann
Universität Innsbruck, Austria
![A dynamic proof of Thébault’s theorem
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Abstract
Thébault’s theorem, discovered in 1938 (see [5]), has the remarkable property that it required three decades to obtain a first proof, which then took 24 pages of calculations. Subsequent shorter proofs, but not easy ones, were published mainly in Elemente der Mathematik ([4] and [6]) and in Dutch language. We refer to [1], [2], and [7] for complete accounts of all these and recent proofs. In this note we want to emphasize the role of a certain parabola which comes out of a dynamic machine, and which allows an easy understanding.
Cite this article
Gerhard Wanner, Alexander Ostermann, A dynamic proof of Thébault’s theorem . Elem. Math. 65 (2010), no. 1, pp. 12–16
DOI 10.4171/EM/133