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math.MG2026
Generalized Apollonius Circles As Equioptic Curves Of Circles In Constants Curvature Geometries
Géza Csima
We extend the old definition of the Apollonius circle in such a way that it results in the same curve in Euclidean geometry but will be more convenient in hyperbolic and spherical…
math.MG2024
Translation-like Apollonius and triangular surfaces in non-constant curvature Thurston geometries
Géza Csima, JenŠSzirmai
In the present paper we deal with non-constant curvature Thurston geometries \cite{M97}, \cite{S}, \cite{Sz22-3},\cite{W06}. We define and determine the generalized trans\-lation-l…
math.MG2024
Interior angle sums of geodesic triangles and translation-like isoptic surfaces in Sol geometry
Géza Csima, JenŠSzirmai
After having investigated the geodesic triangles and their angle sums in Nil and geometries we consider the analogous problem in Sol space that is one of the e…