8 citations · 8 across the 9 of their papers we have counts for
10 papers
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…
Translation-like Apollonius and triangular surfaces in non-constant curvature Thurston geometries
Géza Csima, Jenő Szirmai
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…
Interior angle sums of geodesic triangles and translation-like isoptic surfaces in Sol geometry
Géza Csima, Jenő Szirmai
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…
Isoptic curves of cycloids
Géza Csima
The history of the isoptic curves goes back to the 19th century, but nowadays the topic is experiencing a renaissance, providing numerous new results and new applications. First, w…
Isoptic surfaces of segments in and geometries
Géza Csima
In this work, we examine the isoptic surface of line segments in the and geometries, which are from the 8 Thurston geometries. Based on the procedure fi…
Translation-like isoptic surfaces and angle sums of translation triangles in $\NIL$ geometry
Géza Csima, Jenő Szirmai
After having investigated the geodesic and translation triangles and their angle sums in $\SOL$ and $\SLR$ geometries we consider the analogous problem in $\NIL$ space that is one…