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The Thébault configuration keeps on giving

Published online by Cambridge University Press:  02 March 2020

Raymond Viglione
Raymond Viglione*
Affiliation:
Kean University, School of Mathematical Sciences, 1000 Morris Avenue, Union, NJ, 07083, USA e-mail: rviglion@kean.edu
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Extract

Given a parallelogram, construct squares outwardly on its sides; hereafter we will call this the ‘Thébault configuration’. Our name derives from Thébault’s celebrated first problem, which states that the centres of these newly constructed squares also form a square.

Type
Articles
Information
The Mathematical Gazette , Volume 104 , Issue 559 , March 2020 , pp. 74 - 81
Copyright
© Mathematical Association 2020

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References

Grivoyannis, B., Viglione, R., Proof without words: the birth of a square (or two), Math. Gaz. 101 (November 2017) pp. 497–498.10.1017/mag.2017.139CrossRefGoogle Scholar
Purna, P., Viglione, R., Proof without words: a variation on Thébault’s first problem, College Math. J. 44 (2) (2013) p. 135.Google Scholar
Bogomolny, A., Bottema’s Theorem, accessed August 2019 https://www.cut-the-knot.org/Curriculum/Geometry/Bottema.shtml.Google Scholar