7 citations · 8 across the 4 of their papers we have counts for
4 papers
Two Non-Congruent Regular Polygons Having Vertices at the Same Distances from the Point
Mamuka Meskhishvili
For the given regular plane polygon and an arbitrary point in the plane of the polygon, the distances from the point to the vertices of the polygon are defined. We proved that ther…
New Sense of a Circle
Mamuka Meskhishvili
New condition is found for the set of points in the plane, for which the locus is a circle. It is proved: the locus of points, such that the sum of the -th powers $S_n^{(2m)}…
Diophantine Equations and Congruent Number Equation Solutions
Mamuka Meskhishvili
By using pairs of nontrivial rational solutions of congruent number equation constructed are pairs of rational right (Pythagorean) triangles with one co…
Parametric Solutions for a Nearly-Perfect Cuboid
Mamuka Meskhishvili
We consider nearly-perfect cuboids (NPC), where the only irrational is one of the face diagonals. Obtained are three rational parametrizations for NPC with one parameter.