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indicatrix of Dupin

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  • Dupin indicatrix — 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… …   Wikipedia

  • Pierre-Charles-Francois Dupin —     Pierre Charles François Dupin     † Catholic Encyclopedia ► Pierre Charles François Dupin     Known as BARON CHARLES DUPIN.     A French mathematician and economist, b. at Varzy, Nièvre, 6 October, 1784; d. at Paris, 18 January, 1873. At the… …   Catholic encyclopedia

  • Charles Dupin — Pierre Charles François Dupin (October 6, 1784 in Varzy, Nièvre – January 18, 1873 in Paris, France) was a French Catholic mathematician. He studied geometry with Monge at the École Polytechnique and then became a naval engineer. In 1819 he was… …   Wikipedia

  • Flächentheorie — Flächentheorie. Fläche (Oberfläche) ist eine zweifach ausgedehnte Raumgröße, die Begrenzung eines Körpers. Sie ist entweder eben (Ebene) oder krumm (eigentliche Fläche). Sie besitzt eine Gleichung zwischen drei Veränderlichen f (x, y, z) = 0 und… …   Lexikon der gesamten Technik

  • Indikatrix — In|di|ka|trix auch: In|di|kat|rix 〈f. 7; unz.〉 bei Kartennetzentwürfen Maß zur Feststellung der Verzerrung, die dadurch entsteht, dass Kreise auf der Erdoberfläche auf der Karte als Ellipsen abgebildet werden; Sy Verzerrungsellipse [<lat.… …   Universal-Lexikon

  • List of mathematics articles (D) — NOTOC D D distribution D module D D Agostino s K squared test D Alembert Euler condition D Alembert operator D Alembert s formula D Alembert s paradox D Alembert s principle Dagger category Dagger compact category Dagger symmetric monoidal… …   Wikipedia

  • List of differential geometry topics — This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. Contents 1 Differential geometry of curves and surfaces 1.1 Differential geometry of curves 1.2 Differential… …   Wikipedia

  • Asymptotic curve — In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It is sometimes called an asymptotic line, although it need not be a line. An asymptotic… …   Wikipedia

  • Euler's theorem (differential geometry) — In the mathematical field of differential geometry, Euler s theorem is a result on the curvature of curves on a surface. The theorem establishes the existence of principal curvatures and associated principal directions which give the directions… …   Wikipedia

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