How to explain the Cayley-Klein or sometimes called Beltrami–Klein metric concept to find the distance between two points in a hyperbolic space to an audience with no higher education than maybe a postgrad? What are a, b, C and what are p, q on quadric Q.
${\displaystyle d(a,b)=C\log {\frac {\left|bp\right|\left|qa\right|}{\left|ap\right|\left|qb\right|}}}$
Furthermore, is there any exercises online in finding distance using the above concept?