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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Inversion in a sphere ： ウィキペディア英語版 Inversion in a sphere In three-dimensional geometry, inversion in a sphere is an operation that turns a sphere inside out, swapping the regions inside and outside of the sphere. The points on the sphere itself are left in their original positions. Inversion is the basic operation of inversive geometry in 3-dimensional space. ==Definition== Inversion in a sphere is most easily described using polar coordinates. Take coordinates so that the centre of the sphere is at the origin and the radius of the sphere is 1. Then every point can be written in the form ''r''v, where ''r'' is the distance of the point from the origin and v is a unit vector; moreover, for every point apart from the origin this representation is unique. Given such a representation of a point, its inverse is ''r''−1v. This is not defined at the origin, but we can think of the inverse of the centre of the sphere as being the point at infinity. 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「Inversion in a sphere」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.