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.

Submit Article

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.

Downloads

Published

20-03-2025

Issue

Vol. 27 No. 1 (2025)

Section

Articles

License

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

Creative Commons License

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

_________________________

Licensing Terms:

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

No Derivatives: Modifying or creating derivative works not allowed without written permission.

Contact Puspha Publishing House for more info or permissions.

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