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A New Partial Proof of Pythagoras’ Theorem
Hammad Azzam
Pages - 1 - 7     |    Revised - 30-08-2023     |    Published - 01-10-2023
Published in International Journal of Contemporary Advanced Mathematics (IJCM)
Volume - 4   Issue - 1    |    Publication Date - October 2023  Table of Contents
MORE INFORMATION
References   |   Abstracting & Indexing
KEYWORDS
Pythagoras’ Theorem, Proof by Integration, Novel Approach.
ABSTRACT
This paper proposes an elegant and simple proof of Pythagoras’ Theorem. The proof starts by rotating the non-hypotenuse shorter side on an arc towards the other non-hypotenuse side, then computing a value, x, which starts as a negative value, but increases as the rotation happens. When that value hits zero, the identity is at hand. However, although the proposed work provides a fresh perspective on Pythagoras’ Theorem, it is not complete. Further suggestions to complete the proof are proposed.
REFERENCES
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Loomis, Elisha Scott. (1940). The Pythagorean Proposition: Its Demonstrations Analyzed and Classified, and Bibliography of Sources for Data of the Four Kinds of 'Proofs'. National Council of Teachers of Mathematics.
Maor, Eli. (2007). The Pythagorean Theorem: A 4,000-Year History. Princeton University Press.
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Ostermann, Alexander, &Wanner, Gerhard.(2012). Geometry by Its History.Springer Science & Business Media.
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Powell, Anthony. (n.d.).Pythagorean Theorem. https://www.cut-the-knot.org/pythagoras/. Last Access: March 2023.
Puiu, Tibi. (n.d.). 10 Beautiful Visual Mathematical Proofs: Elegance and Simplicity. https://www.zmescience.com/feature-post/natural-sciences/mathematics/10-beautiful-visual-mathematical-proofs-elegance-and-simplicity/. Last Access: March 2023.
Stillwell, John. (2010). Mathematics and its History.Springer Science & Business Media.
Sutevski, Dragan. (n.d.). The Concept of Pythagoras Theorem and Why It is Important? Entrepreneurship in a Box. https://www.entrepreneurshipinabox.com/24522/why-is-pythagoras-theorem-important/. Last Access: March 2023.
Weisstein, Eric W. (n.d.). Pythagorean Theorem. MathWorld--A Wolfram Web Resource. [http://mathworld.wolfram.com/PythagoreanTheorem.html]. Last Access: March 2023.
MANUSCRIPT AUTHORS
Dr. Hammad Azzam
Managing Director, Citibank - United States of America
hammad.azzam@citi.com


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