Far East Journal of Mathematical Education

The Far East Journal of Mathematical Education is a peer-reviewed journal focused on mathematical education. It publishes research papers that enhance understanding of mathematical concepts and encourages the use of technology, statistics, algorithms, and simulations in mathematics learning.

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PROOF WITHOUT WORDS: APOLLONIUS’ THEOREM (PARALLELOGRAM IDENTITY) VIA THE PYTHAGOREAN THEOREM

Authors

  • Martin Celli

Keywords:

Apollonius' theorem, parallelogram identity, Stewart's theorem, Pythagorean theorem, median

DOI:

https://doi.org/10.17654/0973563125003

Abstract

We wordlessly prove Apollonius’ theorem.

Received: December 9, 2024
Accepted: March 6, 2025

References

G. D. C. Stokes, The theorem of Apollonius by dissection, Edinburgh Mathematical Notes 24 (1929), 18. https://doi.org/10.1017/S1757748900001973.

David S. Wise, Proof without words: a generalization from Pythagoras, Mathematics Magazine 71(1) (1998), 64.

https://doi.org/10.1080/0025570X.1998.11996599.

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Published

20-03-2025

Issue

Vol. 27 No. 1 (2025)

Section

Articles

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Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.

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How to Cite

PROOF WITHOUT WORDS: APOLLONIUS’ THEOREM (PARALLELOGRAM IDENTITY) VIA THE PYTHAGOREAN THEOREM. (2025). Far East Journal of Mathematical Education, 27(1), 17-19. https://doi.org/10.17654/0973563125003

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