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evolute

/ev-uh-loot or, especially British, ee-vuh-/US // ˈɛv əˌlut or, especially British, ˈi və- //UK // (ˈɛvəˌluːt) //

坚决不动摇,坚决执行,坚决,坚决反对

Definitions

n.名词 noun
  1. 1

    Geometry.

    • : the locus of the centers of curvature of, or the envelope of the normals to, another curve.Compare involute.

Examples

  • The adjective translated evolute (udanh) is of frequent occurrence in the formulas, but has no exact equivalent in English.

  • The evolute of a curve is the curve which is the envelope of all its normals or the locus of all its centres of curvature.

  • These names are given to the curves because the end of a stretched thread unwound from the evolute will describe the involute.

  • The locus of the centres of curvature, or envelope of the normals, of a curve is called the “evolute.”

  • The involutes are “orthogonal trajectories” of the tangents to the common evolute.