The Group of Primitive Pythagorean Triangles

DOI10.2307/2690291zbMath0534.10010OpenAlexW4248623676WikidataQ60191673 ScholiaQ60191673MaRDI QIDQ3317174

E. J. Eckert

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2690291

zbMATH Keywords

quadratic diophantine equationprimitive Pythagorean trianglessame hypotenusestructure of additive group

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (13)

Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers ⋮ The Group of Primitive Pythagorean Triples and Perplex Numbers ⋮ Rational Nonaxis Points on the Unit Circle Have Irrational Angles ⋮ Billiards on Pythagorean triples and their Minkowski functions ⋮ Pythagorean Triples, Complex Numbers, and Perplex Numbers ⋮ Groups and monoids of Pythagorean triples connected to conics ⋮ Algebraic \(K\)-theory of the infinite place ⋮ A Characterization of the Hypotenuses of Primitive Pythagorean Triangles Using Partitions into Consecutive Parts ⋮ The group of Pythagorean triples in number fields ⋮ The origin of the Beauregard-Suryanarayan product on Pythagorean triples ⋮ The group of quasi-Pythagorean primitive triples ⋮ A group structure on the golden triples ⋮ A group of Pythagorean triples using the inradius

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