Hostname: page-component-6898cfcb55-zkb6p Total loading time: 0 Render date: 2026-11-11T22:17:43.562Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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.

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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