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Some generalisations and extensions of a remarkable geometry puzzle

Published online by Cambridge University Press:  15 February 2024

Quang Hung Tran
Quang Hung Tran*
Affiliation:
High School for Gifted Students, Vietnam National University at Hanoi, Hanoi, Vietnam e-mail: hungtq@vnu.edu.vn
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There is a very interesting mathematical puzzle involving the geometrical configuration in the book Mathematical Curiosities [1, 2] by Alfred Posamentier and Ingmar Lehmann. It is shown in Figure 1.

Type
Articles
Information
The Mathematical Gazette , Volume 108 , Issue 571 , March 2024 , pp. 36 - 42
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Copyright
© The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association

References

Posamentier, A. and Lehmann, I., Mathematical curiosities, Prometheus Books (2014).Google Scholar
Hoffman, H. S. and Warshaw, S. I., Multifaceted solutions to a remarkable geometry puzzle, Crux Mathematicorum, 47(2) (February 2021).Google Scholar
Leversha, G., The Geometry of the Triangle, UKMT (2013).Google Scholar
Thébault, V., Concerning the Euler line of a triangle, Amer. Math. Monthly 54 (1947) pp. 447–453.CrossRefGoogle Scholar
Thébault, V., Rammler, O. J. and Goormaghtigh, R., Problem 4328, Amer. Math. Monthly 56 (1949) p. 39; solution 58 (1951) p. 45.Google Scholar