cissoid

Japanese: cissoid
cissoid


[Various plane curves]
Below is a list of special plane curves that are historically well known. (1) A cubic curve expressed by the equation y2 ( a - x ) = x3 ( a is a positive constant) is called a sprint line or a cissoid (Figure 5). Consider a circle whose diameter is the line segment connecting the origin O and point A( a ,0), and for a moving point Q on the circumference of this circle, let R be the intersection point of the line OQ and the line x = a . If you take a point P on the line segment OQ so that the lengths of OP and QR are equal, then P will draw this curve. …

*Some of the terminology that mentions "cissoid" is listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:


[いろいろな平面曲線]
 次に歴史的によく知られた特殊な平面曲線を列挙する。(1)方程式y2(ax)=x3(aは正の定数)で表される三次曲線を疾走線またはシッソイドcissoidという(図5)。原点Oと点A(a,0)を結ぶ線分を直径とする円を考え,この円周上の動点Qに対し,直線OQと直線xaとの交点をRとして,線分OQ上に点PをOPとQRの長さが等しくなるようにとれば,Pはこの曲線を描く。…

※「cissoid」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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