English Dictionary

circle inversion

名詞

前置詞句

(geometry, inversive geometry, for a given circle with centre O and radius r) A transformation that maps any point P ≠ O to the point P’ on the ray from O through P for which OP × OP’ = r², and which maps O to the point at infinity.

日本語の意味

（幾何学）指定された中心Oと半径rを持つ円を基準に、中心O以外の任意の点Pを、OPとP’間の積がr²となるように写像する変換。この変換では、中心Oは無限遠点に写される。

In classical inversive geometry, a circle inversion with center O and radius r maps any point P ≠ O to the point P' on the ray from O through P for which OP × OP' = r², and maps O to the point at infinity.

古典的な逆幾何学では、中心O・半径rの円による反転は、任意の点P≠OをOからPへ向かう半直線上の点P'へ写し、OP×OP'＝r²となるようにし、Oは無限遠点に写される。

意味（1）

(geometry, inversive geometry, for a given circle with centre O and radius r) A transformation that maps any point P ≠ O to the point P’ on the ray from O through P for which OP × OP’ = r², and which maps O to the point at infinity.

The first of these is obtained by the method of circle inversion first discovered by Peaucellier.

circle inversions （ plural ）