[Image:Spherical cone lines.png|right|frame|Stereographic projection of a spherical cone's generating lines (red), parallels (green) and hypermeridians (blue). Due to  conformal property of Stereographic Projection, the curves intersect each other orthogonally (in the yellow points) as in 4D. All curves are circles or straight lines. The generatrices and parallels generates a 3D dual cone. The hypermeridians generates a set of concentric spheres. ]]