…(8) A curve expressed by r = f (θ) ( f is monotonic) using polar coordinates is generally called a spiral, a spiral, etc. In particular, curves expressed by r = aθ , r = aebθ , r = a /θ ( a and b are constants) are called Archimedes' spiral, logarithmic spiral, and hyperbolic spiral , respectively (Figure 21). If we set it as such, the curve expressed with t as a parameter is called Cornu's spiral or clothoid (Figure 22). … *Some of the terminology explanations that mention "logarithmic spiral" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…(8)極座標を用いてr=f(θ)(fは単調)で表されるような曲線を一般に螺線,スパイラルspiral,渦巻線などと呼ぶ。とくに,r=aθ,r=aebθ,r=a/θ(a,bは定数)で表される曲線をそれぞれアルキメデスの螺線Archimedes’ spiral,対数螺線logarithmic spiral(等角螺線equiangular spiral),双曲螺線hyperbolic spiralという(図21)。とおくとき,tを媒介変数として,で表される曲線をコルニュの螺線Cornu’s spiralまたはクロソイドclothoidという(図22)。… ※「logarithmic spiral」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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