Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Dupin_indicatrix> ?p ?o. }
Showing items 1 to 24 of
24
with 100 items per page.
- Dupin_indicatrix abstract "In differential geometry, the Dupin indicatrix is a method for characterising the local shape of a surface. Draw a plane parallel to the tangent plane and a small distance away from it. Consider the intersection of the surface with this plane. The shape of the intersection is related to the Gaussian curvature. The Dupin indicatrix is the result of the limiting process as the plane approaches the tangent plane. The indicatrix was invented by Charles Dupin.For elliptical points where the Gaussian curvature is positive the intersection will either be empty or form a closed curve. In the limit this curve will form an ellipse aligned with the principal directions. For hyperbolic points, where the Gaussian curvature is negative, the intersection will form a hyperbola. Two different hyperbola will be formed on either side of the tangent plane. These hyperbola share the same axis and asymptotes. The directions of the asymptotes are the same as the asymptotic directions.".
- Dupin_indicatrix wikiPageExternalLink treatonthediffer00eiserich.
- Dupin_indicatrix wikiPageID "9758831".
- Dupin_indicatrix wikiPageRevisionID "544710402".
- Dupin_indicatrix hasPhotoCollection Dupin_indicatrix.
- Dupin_indicatrix subject Category:Differential_geometry_of_surfaces.
- Dupin_indicatrix subject Category:Surfaces.
- Dupin_indicatrix type Artifact100021939.
- Dupin_indicatrix type Object100002684.
- Dupin_indicatrix type PhysicalEntity100001930.
- Dupin_indicatrix type Surface104362025.
- Dupin_indicatrix type Surfaces.
- Dupin_indicatrix type Whole100003553.
- Dupin_indicatrix comment "In differential geometry, the Dupin indicatrix is a method for characterising the local shape of a surface. Draw a plane parallel to the tangent plane and a small distance away from it. Consider the intersection of the surface with this plane. The shape of the intersection is related to the Gaussian curvature. The Dupin indicatrix is the result of the limiting process as the plane approaches the tangent plane.".
- Dupin_indicatrix label "Dupin indicatrix".
- Dupin_indicatrix label "Indikatrix".
- Dupin_indicatrix label "Индикатриса Дюпена".
- Dupin_indicatrix sameAs Indikatrix.
- Dupin_indicatrix sameAs m.02pr9lh.
- Dupin_indicatrix sameAs Q1231515.
- Dupin_indicatrix sameAs Q1231515.
- Dupin_indicatrix sameAs Dupin_indicatrix.
- Dupin_indicatrix wasDerivedFrom Dupin_indicatrix?oldid=544710402.
- Dupin_indicatrix isPrimaryTopicOf Dupin_indicatrix.