Almost and Nearly Isosceles Pythagorean Triples

This work is about extended pythagorean triples, called NPT, APT, and AI-PT. We generate infinitely many NPTs and APTs and then develop algorithms for infinitely many AI-PTs. Since AI-PT (a,b,c) is of a-b=1, we ask generally for PT (a,b,c) satisfying |a-b|=k for any k∈N. These triples are solutions...

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Bibliographic Details
Main Author: Eunmi Choi
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2016/5189057
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spelling doaj-c9219d3006364315a11d8f12cde7d81d2020-11-24T21:01:33ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/51890575189057Almost and Nearly Isosceles Pythagorean TriplesEunmi Choi0Department of Mathematics, Han Nam University, Daejeon, Republic of KoreaThis work is about extended pythagorean triples, called NPT, APT, and AI-PT. We generate infinitely many NPTs and APTs and then develop algorithms for infinitely many AI-PTs. Since AI-PT (a,b,c) is of a-b=1, we ask generally for PT (a,b,c) satisfying |a-b|=k for any k∈N. These triples are solutions of certain diophantine equations.http://dx.doi.org/10.1155/2016/5189057
collection DOAJ
language English
format Article
sources DOAJ
author Eunmi Choi
spellingShingle Eunmi Choi
Almost and Nearly Isosceles Pythagorean Triples
International Journal of Mathematics and Mathematical Sciences
author_facet Eunmi Choi
author_sort Eunmi Choi
title Almost and Nearly Isosceles Pythagorean Triples
title_short Almost and Nearly Isosceles Pythagorean Triples
title_full Almost and Nearly Isosceles Pythagorean Triples
title_fullStr Almost and Nearly Isosceles Pythagorean Triples
title_full_unstemmed Almost and Nearly Isosceles Pythagorean Triples
title_sort almost and nearly isosceles pythagorean triples
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2016-01-01
description This work is about extended pythagorean triples, called NPT, APT, and AI-PT. We generate infinitely many NPTs and APTs and then develop algorithms for infinitely many AI-PTs. Since AI-PT (a,b,c) is of a-b=1, we ask generally for PT (a,b,c) satisfying |a-b|=k for any k∈N. These triples are solutions of certain diophantine equations.
url http://dx.doi.org/10.1155/2016/5189057
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