Basu, Kaushik (2015): A New and Very Long Proof of the Pythagoras Theorem By Way of a Proposition on Isosceles Triangles.
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Abstract
This paper provides a new proof of the Pythagoras Theorem on right-angled triangles via two new lemmas pertaining to, respectively, isosceles triangles and right-angled triangles, which are of pedagogical value in themselves.
Item Type: | MPRA Paper |
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Original Title: | A New and Very Long Proof of the Pythagoras Theorem By Way of a Proposition on Isosceles Triangles |
Language: | English |
Keywords: | Geometric Equivalences, Pythagoras Theorem, Isosceles triangles |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General Z - Other Special Topics > Z0 - General |
Item ID: | 61125 |
Depositing User: | Kaushik Basu |
Date Deposited: | 08 Jan 2015 15:04 |
Last Modified: | 29 Sep 2019 21:49 |
References: | Arrow, Kenneth (1951), Social Choice and Individual Values, Wiley, New York. Basu, Kaushik (1992), ‘A Geometry for Non-Walrasian General Equilibrium Theory,’ Journal of Macroeconomics, vol. 14. Cavafy, Constantine (2009 translation), C. P. Cavafy: Collected Poems, translation by Daniel Mendelsohn, Alfred Knopf, New York. Euclid (1956 edition), The Thirteen Books of Euclid's Elements, translation and commentaries by Heath, Thomas L. in three volumes. Dover Publications, New York. Geanakoplos, John (2005), ‘Three Brief Proofs of Arrow’s Impossibility Theorem,’ Cowles Foundation Paper no. 1116, Yale University, New Haven. Lamb, Evelyn (2012), ‘A Presidential Pythagorean Proof,’ Scientific American, 19 November. Sen, Amartya (1970), Collective Choice and Social Welfare, Holden Day, San Francisco. Willans, Geoffrey and Searle, Ronald (1953), Down with Skool: A Guide to School Life for Tiny Pupils and their Parents, Pavilion Books. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/61125 |