Let B be the point on R such that the line PB is perpendicular to R. Consider the line x through P such that x does not intersect R , and the angle θ between PB and x counterclockwise from PB is as small as possible ; i.e. , any smaller angle will force the line to intersect R . This is called an asymptotic line in hyperbolic geometry .
Let B be the point on l such that the line PB is perpendicular to l. Consider the line x through P such that x does not intersect l , and the angle θ between PB and x counterclockwise from PB is as small as possible ; i.e. , any smaller angle will force the line to intersect l . This is called an asymptotic line in hyperbolic geometry .