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101.22 The hyperbolic version of the Steiner-Lehmus theorem

Published online by Cambridge University Press:  15 June 2017

Mowaffaq Hajja
Mowaffaq Hajja*
Affiliation:
Mathematics, Philadelphia University, Amman, Jordan e-mail: mowhajja@yahoo.com

Abstract

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Information

Type
Notes
Information
The Mathematical Gazette , Volume 101 , Issue 551 , July 2017, pp. 306 - 307
Copyright
Copyright © Mathematical Association 2017 

References

1. Hendersen, A., The Lehmus-Steiner-Terquem problem in a global survey, Scripta Mathematica 21 (1955), pp. 223–232, pp. 309-312.Google Scholar
2. Ungar, A. A., A gyrovector space approach to hyperbolic geometry, Synthesis Lectures on Mathematics and Statistics 4, san Rafael, CA: Morgan and Claypool Publishers (2009).CrossRefGoogle Scholar
3. Sönmez, N., Trigonometric proof of Steiner-Lehmus theorem in hyperbolic geometry, KoG 12 (2008) pp. 35–36.Google Scholar
4. Demirel, O. and Soytürk Seyrantepe, E., The theorems of Urquhart and Steiner-Lehmus in the Poincaré ball model of hyperbolic geometry, Mat. Vesn. 63 (2011) pp. 263–274.Google Scholar
5. Kiyota, K., A trigonometric proof of the Steiner-Lehmus theorem in hyperbolic geometry, arXiv:1508.03248v [math.MG] 13 Aug. 2015.Google Scholar
6. Barbu, C., Trigonometric proof of Steiner-Lehmus theorem in hyperbolic geometry, Acta Univ. Apulensis, Math. Inform. 23 (2010) pp. 63–67.Google Scholar
7. Hajja, M., Review of [6], Zentralblatt Math., Zbl 1265.30184.Google Scholar