Abstract
Given two points A and B, if one rotates B around A through 60° to a point B’, then the triangle ABB’ is equilateral. A consequence of this result is the following property of the equilateral triangles, which was noticed by the Romanian mathematician D. Pompeiu in 1936. Pompeiu’s theorem is a simple fact, part of classical plane geometry. Surprisingly, it was discovered neither by Euler in the eighteenth century nor by Steinitz in the nineteenth.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Birkhäuser Boston
About this chapter
Cite this chapter
Andreescu, T., Gelca, R. (2000). Geometry and Trigonometry. In: Mathematical Olympiad Challenges. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2138-8_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2138-8_1
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4155-9
Online ISBN: 978-1-4612-2138-8
eBook Packages: Springer Book Archive