English Dictionary

inversive geometry

名詞

可算名詞 不可算名詞

(geometry) The branch of geometry concerned with inversion transformations, specifically circle inversions in the Euclidean plane, but also as generalised in non-Euclidean and higher-dimensional spaces.

日本語の意味

反転変換（特にユークリッド平面上の円反転）を中心とする幾何学の一分野。非ユークリッド空間や高次元空間へと一般化された理論も含む。

Recent research in inversive geometry has revealed unexpected connections between circle inversions and modern conformal field theories.

最近の反転変換の幾何学の研究は、円の反転と現代の共形場理論との間に予想外のつながりがあることを明らかにしました。

意味（1）

(geometry) The branch of geometry concerned with inversion transformations, specifically circle inversions in the Euclidean plane, but also as generalised in non-Euclidean and higher-dimensional spaces.

In particular, the non-Euclidean geometry of Lobachevsky and Bolyai, and the inversive geometry of Steiner play an important role.

inversive geometries （ plural ）