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- Dual_curve abstract "In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual, sending each point to the point dual to its tangent line. If C is algebraic then so is its dual and the degree of the dual is known as the class of the original curve. The equation of the dual of C, given in line coordinates, is known as the tangential equation of C.The construction of the dual curve is the geometrical underpinning for the Legendre transformation in the context of Hamiltonian mechanics.".
- Dual_curve thumbnail Dual_curve.svg?width=300.
- Dual_curve wikiPageExternalLink 1up.
- Dual_curve wikiPageID "3127321".
- Dual_curve wikiPageLength "9604".
- Dual_curve wikiPageOutDegree "28".
- Dual_curve wikiPageRevisionID "681976294".
- Dual_curve wikiPageWikiLink Algebraic_curve.
- Dual_curve wikiPageWikiLink Category:Curves.
- Dual_curve wikiPageWikiLink Category:Differential_geometry.
- Dual_curve wikiPageWikiLink Category:Projective_geometry.
- Dual_curve wikiPageWikiLink Conic_section.
- Dual_curve wikiPageWikiLink Cusp_(singularity).
- Dual_curve wikiPageWikiLink Dual_polygon.
- Dual_curve wikiPageWikiLink Duality_(projective_geometry).
- Dual_curve wikiPageWikiLink Gauss_map.
- Dual_curve wikiPageWikiLink Hamiltonian_mechanics.
- Dual_curve wikiPageWikiLink Homogeneous_coordinates.
- Dual_curve wikiPageWikiLink Hough_transform.
- Dual_curve wikiPageWikiLink Hyperplane.
- Dual_curve wikiPageWikiLink Hypersurface.
- Dual_curve wikiPageWikiLink Inflection_point.
- Dual_curve wikiPageWikiLink Inverse_curve.
- Dual_curve wikiPageWikiLink Legendre_transformation.
- Dual_curve wikiPageWikiLink Line_coordinates.
- Dual_curve wikiPageWikiLink Pedal_curve.
- Dual_curve wikiPageWikiLink Piecewise.
- Dual_curve wikiPageWikiLink Piecewise_differentiable.
- Dual_curve wikiPageWikiLink Piecewise_linear_curve.
- Dual_curve wikiPageWikiLink Plane_curve.
- Dual_curve wikiPageWikiLink Plücker_formula.
- Dual_curve wikiPageWikiLink Polar_curve.
- Dual_curve wikiPageWikiLink Polygonal_chain.
- Dual_curve wikiPageWikiLink Projective_geometry.
- Dual_curve wikiPageWikiLink Singular_point_of_a_curve.
- Dual_curve wikiPageWikiLink Tangent_space.
- Dual_curve wikiPageWikiLink File:Dual_curve.svg.
- Dual_curve wikiPageWikiLinkText "Dual curve".
- Dual_curve wikiPageWikiLinkText "dual curve".
- Dual_curve wikiPageWikiLinkText "dual".
- Dual_curve hasPhotoCollection Dual_curve.
- Dual_curve wikiPageUsesTemplate Template:Algebraic_curves_navbox.
- Dual_curve wikiPageUsesTemplate Template:Citation.
- Dual_curve wikiPageUsesTemplate Template:Differential_transforms_of_plane_curves.
- Dual_curve wikiPageUsesTemplate Template:Main.
- Dual_curve wikiPageUsesTemplate Template:Reflist.
- Dual_curve subject Category:Curves.
- Dual_curve subject Category:Differential_geometry.
- Dual_curve subject Category:Projective_geometry.
- Dual_curve hypernym Curve.
- Dual_curve type Album.
- Dual_curve type Physic.
- Dual_curve comment "In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual, sending each point to the point dual to its tangent line. If C is algebraic then so is its dual and the degree of the dual is known as the class of the original curve.".
- Dual_curve label "Dual curve".
- Dual_curve sameAs Courbe_duale.
- Dual_curve sameAs m.025slt1.
- Dual_curve sameAs Дуальная_кривая.
- Dual_curve sameAs Dualna_krivulja.
- Dual_curve sameAs Q641661.
- Dual_curve sameAs Q641661.
- Dual_curve wasDerivedFrom Dual_curve?oldid=681976294.
- Dual_curve depiction Dual_curve.svg.
- Dual_curve isPrimaryTopicOf Dual_curve.