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A Generalization of Euler’s Quadrilateral Theorem and Some Applications

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Abstract

In this section of Resonance, we invite readers to pose questions likely to be raised in a classroom situation. We may suggest strategies for dealing with them, or invite responses, or both. “Classroom” is equally a forum for raising broader issues and sharing personal experiences and viewpoints on matters related to teaching and learning science.

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Suggested Reading

  1. L. Debnath, The Legacy of Leonhard Euler: A Tricentennial Tribute, World Scientific, pp.105–107,2010.

  2. G. A. Randall, Euler’s Theorem for Generalized Quadrilaterals, The College Mathematics Journal, Vol.33, No.5, pp.403–404, 2002.

    Article  Google Scholar 

  3. E. Sandifer, How Euler did it, MAA, pp.33–36, 2005.

    Google Scholar 

  4. S. Lang, Introduction to Linear Algebra (2nd ed.), Springer, 1986, pp.9–10,1986.

  5. A. Bogomolny, Pythagorean Theorem, Interactive Mathematics Miscellany and Puzzles, https://www.cut-the-knot.org/pythagoras/

  6. Q. H. Tran, A generalization of the Pythagorean theorem via Ptolemy’s theorem, Math. Mag., pp.33–36, 2023.

  7. Q. H. Tran, A new proof of the n-dimensional Pythagorean theorem, Math, Gaz., 106, 565, pp.136–137, 2022.

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Acknowledgments

The author would like to thank the editor and referee for careful reading, valuable comments, and all the help.

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Authors and Affiliations

  1. High School for Gifted Students, Hanoi University of Science, Vietnam National University at Hanoi, Hanoi, Vietnam

    Quang Hung Tran

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  1. Quang Hung Tran
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Correspondence to Quang Hung Tran.

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Tran, Q.H. A Generalization of Euler’s Quadrilateral Theorem and Some Applications. Reson 28, 1145–1152 (2023). https://doi.org/10.1007/s12045-023-1643-z

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  • DOI: https://doi.org/10.1007/s12045-023-1643-z

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