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Symmetry in Mobius Geometry

Name: Anonymous 2009-02-12 14:08

Given a point z in Mobius geometry, how do you find the point w symmetric to z with respect to the unit circle, for example? I understand that (z,z_1,z_2,z_3) = \overline{(w,z_1,z_2,z-3)} (talking about cross ratios) but I'm not sure where to go.

A nudge in the right direction would be appreciated.

Name: Anonymous 2009-02-12 15:23

\frac{x}{x}

Name: Anonymous 2009-02-12 15:24

\frac(x)(x)

Name: Anonymous 2009-02-12 17:26

Name: Anonymous 2009-02-14 19:50

penis

Name: Anonymous 2009-02-15 11:42

Gattaca

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