A Quadratic Approach for Generating Pythagorean Triples
The article explores one of the important relations between numbers-the Pythagorean triples (triplets) which finds its application in distance measurement, construction of roads, towers, buildings and wherever Pythagoras theorem finds its application. The Pythagorean triples are numbers, that satisfy the condition “In a given set of three natural numbers, the sum of squares of two natural numbers is equal to the square of the other natural number”. There are numerous methods and equations to obtain the triplets, which have their own merits and demerits. Here, quadratic approach for generating triples uses the hypotenuse leg difference method. The advantage is that variables are few and finally only three independent variables are present.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1474473Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 665
 William J. Spezeski “Rethinking Pythagorean Triples” Applications and Applied Mathematics: An International Journal (AAM) ISSN: 1932-9466 Vol. 3, Issue 1 (June 2008), pp.100–112 (Previously, Vol. 3, No. 1).
 Coxeter, H. S. M. (1989). Introduction to geometry (2nd ed.). New York: John Wiley & Sons. (First Edition 1969).
 Mack, J., & Czernezkyj, V. (2010). The tree in Pythagoras’ garden. Australian Senior Mathematics Journal, 24(2), 58–63.
 Martin William Bredenkamp: Matrices that define series of Pythagorean triples that have a triangle with one irrational side as limit. European Scientific Journal September 2014 /SPECIAL/ edition Vol.3 ISSN: 1857 – 7881 (Print) e – ISSN 1857- 7431 388.
 W.-K. Chen, Linear Networks and Systems (Book style). Belmont, CA: Wadsworth, 1993, pp. 123–135.
 Manuel Benitoa;1, Juan L.Varonab; ∗; Pythagorean triangles with legs less than n Journal of Computational and Applied Mathematics 143 (2002) 117–12.
 Gerstein, L. J. (2005). Pythagorean triples and inner products. Mathematics Magazine, 78(3), 205–213.
 John Roe, Elementary Geometry, Oxford University Press Inc., New York 1993.
 Pythagorean Triples and Cryptographic Coding by Subhas Kak Submitted on 21 Apr 2010 (v1), last revised 30 Sep 2010 (this version, v2) https://arxiv.org/ftp/arxiv/papers/1004/1004.3770.pdf.