Editing Ultraparallel theorem (section)

{{short description|Theorem in hyperbolic geometry}}
[[File:Ultraparallel.png|thumb|200px|right|[[Poincaré disc]]: The pink line is ultraparallel to the blue line and the green lines are [[limiting parallel]] to the blue line.]]

In [[hyperbolic geometry]], two lines are said to be '''ultraparallel''' if they do not intersect and are not [[limiting parallel]].

The '''ultraparallel theorem''' states that every pair of (distinct) ultraparallel lines has a unique common [[perpendicular]] (a hyperbolic line which is perpendicular to both lines).