PyGeo: a dynamic geometry toolkit

inversions

point determined in respect to an inversive relationship with a given geometric objects

f Inversion() ...

factory function returns instance of a class represenint a point in space determined in respect to an inversive relationship of given geometric objects

constructors:
Inversion (line,circle )
point polar to given line with respect to a given coplanar circle
Inversion (line,conic )
point polar to given line with respect to a given coplanar conic
Inversion (point,sphere )
point inverse to given point with respect to a given sphere
Inversion (point,circle )
point inverse to given point with respect to a given coplanar circle
Inversion (plane,sphere )
point polar to given sphere with respect to a given plane

See the source for more information.