For two d-lines that intersect in the point P,
a reflection about the first followed by a reflection about the second
gives the elliptic isometry.
A vertex of the triangle and its corresponding image lie on a hyperbolic d-circle, centre at the point P of intersection and through the vertex. This isometry is equivalent to the rotation in Euclidean space, the angle APA' being twice that of the angle between the two reflecting lines. |
Reflection isometry
Parabolic isometry