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- Evolute abstract "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.".
- Evolute thumbnail Evolute_of_an_ellipse.gif?width=300.
- Evolute wikiPageExternalLink evolute.
- Evolute wikiPageID "842387".
- Evolute wikiPageRevisionID "598605309".
- Evolute first "D.D.".
- Evolute hasPhotoCollection Evolute.
- Evolute id "E/e036670".
- Evolute last "Sokolov".
- Evolute title "Evolute".
- Evolute urlname "Evolute".
- Evolute subject Category:Curves.
- Evolute subject Category:Differential_geometry.
- Evolute type Abstraction100002137.
- Evolute type Attribute100024264.
- Evolute type Curve113867641.
- Evolute type Curves.
- Evolute type Line113863771.
- Evolute type Shape100027807.
- Evolute comment "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.".
- Evolute label "Développée".
- Evolute label "Evoluta".
- Evolute label "Evoluta".
- Evolute label "Evolute".
- Evolute label "Evolute".
- Evolute label "Evolute".
- Evolute label "Ewoluta".
- Evolute label "Эволюта".
- Evolute label "منشئ المنحنى".
- Evolute label "渐屈线".
- Evolute label "縮閉線".
- Evolute sameAs Evolute.
- Evolute sameAs Evoluta.
- Evolute sameAs Eboluta.
- Evolute sameAs Développée.
- Evolute sameAs Evoluta.
- Evolute sameAs 縮閉線.
- Evolute sameAs 축폐선.
- Evolute sameAs Evolute.
- Evolute sameAs Ewoluta.
- Evolute sameAs m.03g67s.
- Evolute sameAs Q658654.
- Evolute sameAs Q658654.
- Evolute sameAs Evolute.
- Evolute wasDerivedFrom Evolute?oldid=598605309.
- Evolute depiction Evolute_of_an_ellipse.gif.
- Evolute isPrimaryTopicOf Evolute.
