Elliptic Isometry

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


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