Proof without words: The Sum

Authors

  • Amara Chandoul Department of Mathematics, Higher Institute of Informatics and Multimedia of Sfax, Sfax- Tunisia Author
  • Alalnod M. Sibih Department of Mathematics, Jamoum University College, Umm Al-Qura University, Saudi Arabia, Makkah, Saudi Arabia. Author

DOI:

https://doi.org/10.61841/c6pm0b14

Keywords:

fraction, proof without words, sum, sum of fractions

Abstract

 Abstract—ObjectiveIn this note, we prove geometrically that
Methodology: In mathematics, a proof without words is a proof of an identity or mathematical
statement, which can be demonstrated as self-evident by a diagram without any accompanying
explanatory text. Using this method, we give the value of . 

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References

[1] CASSELMAN, Bill. Pictures and proofs. Notices of the AMS, 2000, vol. 47, no 10, p. 1257-

1266.https://www.ams.org/journals/notices/200010/fea-casselman.pdf

[2] CHANDOUL, Amara. Proof without words: Periodic continued fractions. Applied Mathematics

and Nonlinear Sciences, 2019, vol. 4, no 1, p. 57-60. DOI:10.2478/AMNS.2019.1.00006.

[3] NELSEN, Roger B. Proof without words. Exercises in visual thinking, The Mathematical

Association of America Press, Washington, DC, 1993.

[4] Klein, Benjamin G., and Irl C. Bivens. “Proof without Words.” Mathematics Magazine, vol. 61, no.

4, 1988, pp. 219–219. DOI: https://doi.org/10.1080/0025570X.1988.11977376.

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Published

30.09.2024

Issue

Vol. 25 No. 2 (2021): 25 (2) 2021

Section

Articles

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Copyright (c) 2024 Author

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How to Cite

Chandoul, A., & M. Sibih, A. (2024). Proof without words: The Sum. International Journal of Psychosocial Rehabilitation, 25(2), 984-987. https://doi.org/10.61841/c6pm0b14