What does evolute mean?
Definitions for evolute
ˈɛv əˌlut; esp. Brit. ˈi və-evo·lute
This dictionary definitions page includes all the possible meanings, example usage and translations of the word evolute.
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Wiktionary
evolutenoun
A curve comprising the centers of curvature of another curve.
Wikipedia
Evolute
In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. That is to say that when the center of curvature of each point on a curve is drawn, the resultant shape will be the evolute of that curve. The evolute of a circle is therefore a single point at its center. Equivalently, an evolute is the envelope of the normals to a curve. The evolute of a curve, a surface, or more generally a submanifold, is the caustic of the normal map. Let M be a smooth, regular submanifold in Rn. For each point p in M and each vector v, based at p and normal to M, we associate the point p + v. This defines a Lagrangian map, called the normal map. The caustic of the normal map is the evolute of M.Evolutes are closely connected to involutes: A curve is the evolute of any of its involutes.
Webster Dictionary
Evolutenoun
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
Etymology: [L. evolutus unrolled, p. p. of evolvere. See Evolve.]
Wikidata
Evolute
In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. That is to say that when the center of curvature of each point on a curve is drawn, the resultant shape will be the evolute of that curve. The evolute of a circle is therefore a single point at its center. Equivalently, an evolute is the envelope of the normals to a curve. The evolute of a curve, a surface, or more generally a submanifold, is the caustic of the normal map. Let M be a smooth, regular submanifold in R. For each point p in M and each vector v, based at p and normal to M, we associate the point p + v. This defines a Lagrangian map, called the normal map. The caustic of the normal map is the evolute of M.
Numerology
Chaldean Numerology
The numerical value of evolute in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of evolute in Pythagorean Numerology is: 1
Translations for evolute
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"evolute." Definitions.net. STANDS4 LLC, 2024. Web. 19 Mar. 2024. <https://www.definitions.net/definition/evolute>.
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