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math.MG2026
A comprehensive analysis of the Snellius-Pothenot problem
Evgenii Nikitenko, Yurii Nikonorov, Michael Rieck
It is known that a point in three-dimensional Euclidean space whose coordinates are equal to the cosines of the angles , where the point lie…
math.MG2025
On face angles of tetrahedra with a given base
E. V. Nikitenko, Yu. G. Nikonorov
Let us consider the set of all tetrahedra with a given non-degenerate base in and lying outside the plane . Let us denote by…
math.MG2023
The extreme polygons for the self Chebyshev radius of the boundary
Evgenii V. Nikitenko, Yurii G. Nikonorov
The paper is devoted to some extremal problems for convex polygons on the Euclidean plane, related to the concept of self Chebyshev radius for the polygon boundary. We consider a g…