Incenter of triangle as a stationary point

DOI10.1515/gmj-2022-2155zbMath1494.51007OpenAlexW4289705639MaRDI QIDQ2161987

G. K. Giorgadze, G. N. Khimshiashvili

Publication date: 5 August 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2155

zbMATH Keywords

Hessianstable equilibriumstationary pointCoulomb lawelectrostatic potentialelectrostatic forcePoncelet theoremcircumcircle of triangleEuler formula for triangleincenter of triangle

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15) Electro- and magnetostatics (78A30) Euclidean geometries (general) and generalizations (51M05)

Cites Work

• Equilibria of Riesz potentials generated by point charges at the roots of unity
• On equilibrium concyclic configurations
• Coulomb control of polygonal linkages
• An Electrostatic Interpretation of the Zeros of Paraorthogonal Polynomials on the Unit Circle
• Special cases of three point charges
• Configurations of points
• Triangles and electrostatic ion traps
• Mystery of point charges
• Electrostatic interpretation for the zeros of certain polynomials and the Darboux process
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