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・ Inversion layer
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Inversive distance
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Inversive distance : ウィキペディア英語版
Inversive distance
In inversive geometry, the inversive distance is a way of measuring the "distance" between two circles, regardless of whether the circles cross each other, are tangent to each other, or are disjoint from each other.〔
==Properties==
The inversive distance remains unchanged if the circles are inverted, or transformed by a Möbius transformation.〔〔〔 One pair of circles can be transformed to another pair by a Möbius transformation if and only if both pairs have the same inversive distance.〔
An analogue of the Beckman–Quarles theorem holds true for the inversive distance: if a bijection of the set of circles in the inversive plane preserves the inversive distance between pairs of circles at some chosen fixed distance \delta, then it must be a Möbius transformation that preserves all inversive distances.〔.〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Inversive distance」の詳細全文を読む



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