Geometry :: Axiom :: Incidence Hyperbolic Parallel

For every line \(l\) and for every point \(P\) that does not lie on \(l\), there are at least two lines \(m\) and \(n\) such that \(P\) lies on both \(m\) and \(n\), \(m \parallel l\) and \(n \parallel l\).