I am trying to get my head around the hyperboloid model of hyperbolic geometry.
The article is much too technical for me, please improve.
And was thinking the hyperboloid $ x^2 +y^2 – z^2= -1: z >0 $
has as asymptotic cone $ x^2 +y^2 – z^2= 0: z >0 $
And with cones you have conic sections
Then I got puzzled what hyperbolic item is represented for each conic section, came to the following list:
Conic section -> Hyperbolic item
Is this list correct? Are there possible additions?