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- Q1231515 subject Q7139288.
- Q1231515 subject Q8376419.
- Q1231515 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.".
- Q1231515 wikiPageExternalLink treatonthediffer00eiserich.
- Q1231515 wikiPageWikiLink Q1589551.
- Q1231515 wikiPageWikiLink Q165301.
- Q1231515 wikiPageWikiLink Q188444.
- Q1231515 wikiPageWikiLink Q2363719.
- Q1231515 wikiPageWikiLink Q3526990.
- Q1231515 wikiPageWikiLink Q40112.
- Q1231515 wikiPageWikiLink Q484298.
- Q1231515 wikiPageWikiLink Q7139288.
- Q1231515 wikiPageWikiLink Q8376419.
- Q1231515 wikiPageWikiLink Q860206.
- Q1231515 wikiPageWikiLink Q945953.
- Q1231515 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.".
- Q1231515 label "Dupin indicatrix".