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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 wikiPageLength "11192".
- Evolute wikiPageOutDegree "36".
- Evolute wikiPageRevisionID "683520694".
- Evolute wikiPageWikiLink Apollonius_of_Perga.
- Evolute wikiPageWikiLink Arc_length.
- Evolute wikiPageWikiLink Arclength.
- Evolute wikiPageWikiLink Asymptote.
- Evolute wikiPageWikiLink Category:Curves.
- Evolute wikiPageWikiLink Category:Differential_geometry.
- Evolute wikiPageWikiLink Caustic_(mathematics).
- Evolute wikiPageWikiLink Cesàro_equation.
- Evolute wikiPageWikiLink Christiaan_Huygens.
- Evolute wikiPageWikiLink Congruence_(geometry).
- Evolute wikiPageWikiLink Contact_(mathematics).
- Evolute wikiPageWikiLink Curvature.
- Evolute wikiPageWikiLink Curve.
- Evolute wikiPageWikiLink Cusp_(singularity).
- Evolute wikiPageWikiLink Cycloid.
- Evolute wikiPageWikiLink Differential_geometry_of_curves.
- Evolute wikiPageWikiLink Envelope_(mathematics).
- Evolute wikiPageWikiLink Lagrangian_map.
- Evolute wikiPageWikiLink Locus_(mathematics).
- Evolute wikiPageWikiLink Logarithmic_spiral.
- Evolute wikiPageWikiLink Monotonic_function.
- Evolute wikiPageWikiLink Orientation_(mathematics).
- Evolute wikiPageWikiLink Orientation_(vector_space).
- Evolute wikiPageWikiLink Osculating_circle.
- Evolute wikiPageWikiLink Parabola.
- Evolute wikiPageWikiLink Parallel_curve.
- Evolute wikiPageWikiLink Perpendicular.
- Evolute wikiPageWikiLink Plane_curve.
- Evolute wikiPageWikiLink Semicubical_parabola.
- Evolute wikiPageWikiLink Submanifold.
- Evolute wikiPageWikiLink Symplectic_manifold.
- Evolute wikiPageWikiLink Tangential_angle.
- Evolute wikiPageWikiLink Vertex_(curve).
- Evolute wikiPageWikiLink Whewell_equation.
- Evolute wikiPageWikiLink File:Evolute1.gif.
- Evolute wikiPageWikiLink File:Evolute_and_parallel.gif.
- Evolute wikiPageWikiLink File:Evolute_of_an_ellipse.gif.
- Evolute wikiPageWikiLinkText "Evolute".
- Evolute wikiPageWikiLinkText "Evolute#Radial curve".
- Evolute wikiPageWikiLinkText "Radial curve".
- Evolute wikiPageWikiLinkText "evolute".
- Evolute first "D.D.".
- Evolute hasPhotoCollection Evolute.
- Evolute id "E/e036670".
- Evolute last "Sokolov".
- Evolute title "Evolute".
- Evolute urlname "Evolute".
- Evolute wikiPageUsesTemplate Template:Differential_transforms_of_plane_curves.
- Evolute wikiPageUsesTemplate Template:EquationNote.
- Evolute wikiPageUsesTemplate Template:MathWorld.
- Evolute wikiPageUsesTemplate Template:NumBlk.
- Evolute wikiPageUsesTemplate Template:Reflist.
- Evolute wikiPageUsesTemplate Template:Springer.
- Evolute subject Category:Curves.
- Evolute subject Category:Differential_geometry.
- Evolute type Physic.
- 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 "Evolute".
- Evolute sameAs منشئ_المنحنى.
- Evolute sameAs Evoluta.
- Evolute sameAs Evolute.
- Evolute sameAs Evoluto.
- Evolute sameAs Evoluta.
- Evolute sameAs Evoluut.
- Evolute sameAs Eboluta.
- Evolute sameAs Evoluutta.
- Evolute sameAs Développée.
- Evolute sameAs אבולוט.
- Evolute sameAs Evoluta.
- Evolute sameAs Evoluta.
- Evolute sameAs 縮閉線.
- Evolute sameAs 축폐선.
- Evolute sameAs Evolute.
- Evolute sameAs Evolute.
- Evolute sameAs Ewoluta.
- Evolute sameAs Evoluta.
- Evolute sameAs m.03g67s.
- Evolute sameAs Эволюта.
- Evolute sameAs Evolúta.
- Evolute sameAs Evoluta.
- Evolute sameAs Еволюта.
- Evolute sameAs Q658654.
- Evolute sameAs Q658654.
- Evolute sameAs 渐屈线.
- Evolute wasDerivedFrom Evolute?oldid=683520694.
- Evolute depiction Evolute_of_an_ellipse.gif.
- Evolute isPrimaryTopicOf Evolute.
