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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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Extract

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

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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