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102.49 A very short proof of Pamfilos's characterisation of the rhombus

Published online by Cambridge University Press:  17 October 2018

Mowaffaq Hajja*
Affiliation:
P. O. Box 1, Philadelphia University, 19392 − Amman − Jordan e-mail: mowhajja@yahoo.com

Abstract

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Type
Notes
Copyright
Copyright © Mathematical Association 2018 

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References

1. Pamfilos, P., A characterisation of the rhombus, Forum Geom. 16 (2016) pp. 331336.Google Scholar
2. Hajja, M., Review of [1], Zentralblatt Math., Zbl 1355.51004.Google Scholar
3. Gelca, R. and Andreescu, T., Putnam and beyond, Springer, New York (2007).Google Scholar
4. Sharygin, I. F., Problems in plane geometry, Mir Publishers, Moscow (1988).Google Scholar
5. Smarandache, F. and Pătraşcu, I., The geometry of homological triangles, The Education Publisher, Inc., Ohio (2012).Google Scholar
6. Hajja, M., Review of [5], Zentralblatt Math., Zbl 1355.51004Google Scholar
7. Hajja, M., Problem 1002, College Math. J. 44 (2013) p. 233; correction, ibid, p. 437; solution, ibid, 45 (2014) pp. 394-395.Google Scholar
8. Josefsson, M., Properties of bisect-diagonal quadrilaterals, Math. Gaz. 101 (July 2017) pp. 214226.Google Scholar
9. Hajja, M. and Hayajneh, M., Problem 1944, Math. Mag. 87 (2014) p. 152; solution, ibid, 88 (2015) pp. 240-241.Google Scholar
10. Josefsson, M., Characterisations of orthodiagonal quadrilaterals, Forum Geom. 12 (2012) pp. 1325.Google Scholar