The meaning of EVOLUTE is the locus of the center of curvature or the envelope of the normals of a curve.
Torii, Evolutes of hyperbolic plane curves, Acta Math... S Izumiya,D Pei,T Sano - 《Proceedings of the London Mathematical Society》 被引量: 0发表: 2003年 Perpendicular bisectors, duality and local symmetry of plane curves For a smooth, simple closed curve α in the plane, the ...
For a curve c in this class, the radius of curvature of its evolute satisfies the same eigenvalue equation like κ 1 of c , while the radii of curvature of its involutes satisfy a slightly modified eigenvalue equation. We give a complete local classification of all types of curves in ...
Define Evolutes. Evolutes synonyms, Evolutes pronunciation, Evolutes translation, English dictionary definition of Evolutes. n. Mathematics The locus of the centers of curvature of a given curve. American Heritage® Dictionary of the English Language,
evolute 英['i:vəlu:t] 美['evəˌlu:t]n. 渐屈线;adj. （边缘） 反卷的;[例句]He then treated the evolute of a plane curve.然后他讨论了平面曲线的渐屈线。
This paper presents a generation method for curves which have smoothly varying curvature to satisfy designer's intention under the condition of tangent direction and curvature values at arbitrary points on the curve. This method determines curvature variation directly by an evolute as a rational 2nd ...