High Quality Content by WIKIPEDIA articles! In geometry, inversive geometry is the study of a type of transformation of the Euclidean plane, called inversions. These transformations preserve angles and map generalized circles into generalized circles, where a generalized circle means either a circle or a line (a circle with infinite radius). Many difficult problems in geometry become much more tractable when an inversion is applied. The concept of an inversion can be generalized to higher dimensional spaces.

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