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Isometries in the Upper Half Plane

The following links include illustrations and interactive applications of the isometries in the Upper Half Plane: Note: Circle Inversion in the UHP is identical to circle inversion in the Poincaré Disk

Note: As was the case in the Poincaré Disk, the hyperbolic, parabolic and elliptic isometries are compositions of circle inversions.

Warning: The following pages assume familiarity with the isometries of the Poincaré Disk.

Equations

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Created: Jul 15 1996 --- Last modified: Jul 15 1996