Tangent developable (original) (raw)

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dbo:abstract En mathématiques, et plus précisément en géométrie euclidienne, une développable des tangentes est une surface réglée obtenue comme réunion des tangentes à une courbe de l'espace. Cette courbe est alors l'arête de rebroussement de la surface. (fr) In the mathematical study of the differential geometry of surfaces, a tangent developable is a particular kind of developable surface obtained from a curve in Euclidean space as the surface swept out by the tangent lines to the curve. Such a surface is also the envelope of the tangent planes to the curve. (en)
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dbo:wikiPageWikiLink dbr:Curve dbr:Developable_surface dbr:Mathematics dbr:Envelope_(mathematics) dbr:Gaussian_curvature dbr:Leonhard_Euler dbr:Parallel_lines dbr:Plane_(geometry) dbr:Torsion_of_a_curve dbr:Helicoid dbr:Euclidean_space dbc:Differential_geometry_of_surfaces dbr:Differentiable_function dbr:Differential_geometry_of_surfaces dbr:Real_number dbr:Ruled_surface dbr:Tangent_line dbr:Tangent_plane dbr:File:Helixtgtdev.png dbr:File:Tangent_developable_with_zero_torsion.png
dbp:first M.I. (en) I.Kh. (en)
dbp:id d/d031430 (en) e/e035050 (en)
dbp:last Sabitov (en) Voitsekhovskii (en)
dbp:title Developable surface (en) Edge of regression (en) Tangent Developable (en)
dbp:urlname TangentDevelopable (en)
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dbp:year 2001 (xsd:integer)
dct:subject dbc:Differential_geometry_of_surfaces
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rdfs:comment En mathématiques, et plus précisément en géométrie euclidienne, une développable des tangentes est une surface réglée obtenue comme réunion des tangentes à une courbe de l'espace. Cette courbe est alors l'arête de rebroussement de la surface. (fr) In the mathematical study of the differential geometry of surfaces, a tangent developable is a particular kind of developable surface obtained from a curve in Euclidean space as the surface swept out by the tangent lines to the curve. Such a surface is also the envelope of the tangent planes to the curve. (en)
rdfs:label Développable des tangentes (fr) Tangent developable (en)
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