1. In mathematics, the locus of the centers of curvature of a given curve; the curve from which another curve (an involute) is derived.
Usage: technical; mathematics

1. Unfolded or unrolled; having evolved or developed.
Usage: archaic; rare

Examples

• The evolute of a circle is a single point at its center.
• In differential geometry, the evolute provides information about the curvature of the original curve.
• The involute and evolute are inverse relationships in curve theory.
• Engineers use evolute curves to design smooth mechanical paths.
• The evolute of an ellipse is more complex than that of a circle.