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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SUPPLEMENTARY REMARKS ON A WEAK PROOF OF THE PYTHAGOREAN THEOREM – FROM THE VIEWPOINT OF DIMENSIONAL ANALYSIS OF PHYSICAL QUANTITIES

Authors

  • Yukio Kobayashi

Keywords:

Pythagorean theorem, similarity, physical quantity, dimensional analysis

DOI:

https://doi.org/10.17654/0973563125001

Abstract

The method of undetermined coefficients may lead to a circular argument when attempting to prove that the square of the hypotenuse in a right triangle is a function of the lengths of the other two sides. Dimensional analysis of the square of a length ensures that the square of the hypotenuse in a right triangle can be expressed as the sum of the squares of the other two sides, without including first-order terms of these side lengths. Dimensional analysis is also an important method in physics and is therefore an appropriate subject for cross-disciplinary learning between mathematics and physics.

Received: September 1, 2024
Accepted: October 29, 2024

References

Chuya Fukuda, A weak proof of the Pythagorean theorem, Far East Journal of Mathematical Education 26(1) (2024), 15-16.

International Union of Pure and Applied Chemistry, Quantities, Units and Symbols in Physical Chemistry, IUPAC, 2007.

Yukio Kobayashi, Supplementary remarks on simple sum using dimensions - from viewpoint of connection to physics based on weighted average, Far East Journal of Mathematical Education 26(1) (2024), 55-70.

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Published

25-11-2024

Issue

Vol. 27 No. 1 (2025)

Section

Articles

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How to Cite

SUPPLEMENTARY REMARKS ON A WEAK PROOF OF THE PYTHAGOREAN THEOREM – FROM THE VIEWPOINT OF DIMENSIONAL ANALYSIS OF PHYSICAL QUANTITIES. (2024). Far East Journal of Mathematical Education, 27(1), 1-10. https://doi.org/10.17654/0973563125001

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