Last Updated
：2025/12/01
circle inversion
Noun
for a given circle with centre O and radius r
Japanese Meaning
（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。
（ plural ）
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(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.
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circle inversion
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.
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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.
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