…For a moving point Q on the line x = a , if you take a line segment QP of length b on the line OQ on both sides of Q, P will draw this curve. (3) A quartic curve expressed by the equation ( x 2 + y 2 - ax ) 2 = b 2 ( x 2 + y 2 ) ( a , b are positive constants) is called a limaçon or a cochlear line (Figure 7). If you take a moving point Q on the circumference of a circle whose diameter is the line segment connecting the origin O and A ( a , 0), and take a line segment QP of length b on the line OQ on both sides of Q, P will draw this curve. … *Some of the terminology explanations that mention "limaçon" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…直線x=a上の動点Qに対し,直線OQ上に長さbの線分QPをQの両側にとれば,Pはこの曲線を描く。(3)方程式(x2+y2-ax)2=b2(x2+y2)(a,bは正の定数)で表される四次曲線をリマソンlimaçonまたは蝸牛(かぎゆう)線という(図7)。原点OとA(a,0)を結ぶ線分を直径とする円周上に動点Qをとり,直線OQ上に長さbの線分QPをQの両側にとるとき,Pはこの曲線を描く。… ※「limaçon」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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