noun
- Plural of evolute; in mathematics and geometry, the locus of centers of curvature of a given curve, or the curve from which another curve (an involute) is derived.
Usage: technical; mathematics
Examples
- The evolutes of a circle form a single point at its center.
- In differential geometry, evolutes help describe the curvature properties of smooth curves.
- The relationship between a curve and its evolutes is fundamental to understanding involute geometry.
- Engineers use evolutes to analyze the mechanical properties of gear teeth and cam profiles.