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| inversive geometry ： ウィキペディア英語版 |
inversive geometry
In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called ''inversion''. These transformations preserve angles and map generalized circles into generalized circles, where a ''generalized circle'' means either a circle or a line (loosely speaking, a circle with infinite radius). Many difficult problems in geometry become much more tractable when an inversion is applied.
The concept of inversion can be generalized to higher-dimensional spaces.
== Circle inversion ==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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