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Almost and nearly isosceles Pythagorean triples - MaRDI portal

Almost and nearly isosceles Pythagorean triples (Q1751466)

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scientific article; zbMATH DE number 6873315
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Almost and nearly isosceles Pythagorean triples
scientific article; zbMATH DE number 6873315

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    Almost and nearly isosceles Pythagorean triples (English)
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    25 May 2018
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    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 \(\left|a - b\right| = 1\), we ask generally for PT \((a, b, c)\) satisfying \(| a - b | = k\) for any \(k \in \mathbb{N}\). These triples are solutions of certain diophantine equations.
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