- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:55
Elemente der Mathematik
Elem. Math.
EM
0013-6018
1420-8962
General
10.4171/EM
http://www.ems-ph.org/doi/10.4171/EM
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Swiss Mathematical Society
65
2010
1
A dynamic proof of Thébault’s theorem
Alexander
Ostermann
Universität Innsbruck, INNSBRUCK, AUSTRIA
Gerhard
Wanner
Université de Genève, GENÈVE, SWITZERLAND
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.
Geometry
Convex and discrete geometry
General
12
16
10.4171/EM/133
http://www.ems-ph.org/doi/10.4171/EM/133