osculating circle

Japanese: osculating circle(英語表記)osculatingcircle
osculating circle

…Depending on whether κ is positive or negative, C bends left or right near P as s increases, and the larger ρ is, the more gentle the bend (Figure 2). The limit circle of a circle passing through P and two points Q and R on C close to P , as Q and R approach P along C, is called the osculating circle of C at P. This is a circle that is tangent to the tangent of C at P at P , is on the same side of the tangent as C , and has a radius of ρ (Figure 2). …

*Some of the terminology explanations that mention "osculating circle" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:

…κの正負に応じて,sが増すときPの近くでCは左または右に曲がり,その曲がり方はρが大きいほどゆるやかである(図2)。Pとこれに近いC上の2点Q,Rを通る円の,Q,RCに沿ってPに近づけたときの極限の円をPにおけるCの接触円osculating circleという。これはPにおけるCの接線にPで接し,その接線に関してCと同じ側にあり,ρを半径とする円である(図2)。…

※「osculating circle」について言及している用語解説の一部を掲載しています。

出典|株式会社平凡社世界大百科事典 第2版について | 情報

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