IPA: /ˈɛvəluːt/
KK: /ˈɛvəlut/
In mathematics, it refers to the path traced by the centers of curvature of a specific curve.
The evolute of a circle is a single point at its center.
Evolute → It is formed from "e-" (meaning out) and "volut-" (from "volvere", meaning to roll or turn). The word describes a curve that is generated by the motion of a point that rolls along another curve, hence the idea of rolling out.
Think of something 'rolling out' ('e-' means out and 'volut-' relates to rolling) to remember that 'evolute' refers to a curve generated by rolling.