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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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2016-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2016/5189057 |
Summary: | 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. |
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ISSN: | 0161-1712 1687-0425 |