1 citations · 1 across the 4 of their papers we have counts for
4 papers
Construction of primitive Pythagorean triples and Pythagorean triples with a common multiplier using gnomons
Natalia Aleshkevich
The traditional construction of primitive Pythagorean triples by the formulas of two independent variables does not allow their ordering. The paper shows a new view on the construc…
Perfect cuboid, primitive Pythagorean triples and Eulerian parallelepipeds. Dynamics of construction
Natalia Aleshkevich
One unsolved mathematical problem remains the perfect cuboid problem. A perfect cuboid is a rectangular parallelepiped whose edges, face diagonals and space diagonal are all expres…
Constructive representation of primitive Pythagorean triples
Natalia Aleshkevich
The paper presents a systematic construction of primitive Pythagorean triples. The order of enumeration on the set of primitive Pythagorean triples is defined. The order is based o…
Geometric and algebraic interpretation of primitive Pythagorean triples parameters
Natalia Aleshkevich
The paper found a geometric and algebraic interpretation of the parameters m and n from the formulas for obtaining primitive Pythagorean triples, which are solutions of the equatio…