Definitions for evolute
ˈɛv əˌlut; esp. Brit. ˈi və-evo·lute

WiktionaryRate this definition:0.0 / 0 votes

1. evolutenoun

   A curve comprising the centers of curvature of another curve.

WikipediaRate this definition:0.0 / 0 votes

1. 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 DictionaryRate this definition:0.0 / 0 votes

1. 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

2. Etymology: [L. evolutus unrolled, p. p. of evolvere. See Evolve.]

WikidataRate this definition:0.0 / 0 votes

1. 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.

How to pronounce evolute?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say evolute in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of evolute in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of evolute in Pythagorean Numerology is: 1

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Evolute
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Evolute
3. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/evolute
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=evolute