noun. The locus of the centers of curvature of a given curve.

Evolved; developed: as, an evolute curve.

noun. In mathematics, a curve which is the locus of the center of curvature of another curve, or the envelop of the normals to the latter.

noun. A curve from which another curve, called the involute or evolvent, is described by the end of a thread gradually wound upon the former, or unwound from it. See involute. It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent.

noun. A curve comprising the centers of curvature of another curve.

"From evolution we get evolute, which has technical meanings as a noun in mathematics and as an adjective in botany, but as a verb meaning the same as evolve, it is a needless variant."

imperfect evolute  involute  

involute