Developable surface
In mathematics, a developable surface (or torse: archaic) is a smooth surface with zero Gaussian curvature. That is, it is a surface that can be flattened onto a plane without distortion (i.e. it can be bent without stretching or compression). Conversely, it is a surface which can be made by transforming a plane (i.e. "folding", "bending", "rolling", "cutting" and/or "gluing"). In three dimensions all developable surfaces are ruled surfaces (but not vice versa). There are developable surfaces in R4 which are not ruled.
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Bour's minimal surfaceCCGS_Terry_FoxConical surfaceConvex hullDevelopableDevelopable mechanismDevelopable rollerDevelopment (differential geometry)Differential geometry of surfacesFerdinand MindingFlatness (mathematics)Gaussian curvatureGlossary of Riemannian and metric geometryGlossary of classical algebraic geometryList of differential geometry topicsMap projectionMathematics of paper foldingMoon DuchinMöbius stripOloidParaboloidPolyconPrincipal curvatureQuartic equationRollingSphericonTangent developableVladimir_Ignatyuk_(icebreaker)
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Developable surface
In mathematics, a developable surface (or torse: archaic) is a smooth surface with zero Gaussian curvature. That is, it is a surface that can be flattened onto a plane without distortion (i.e. it can be bent without stretching or compression). Conversely, it is a surface which can be made by transforming a plane (i.e. "folding", "bending", "rolling", "cutting" and/or "gluing"). In three dimensions all developable surfaces are ruled surfaces (but not vice versa). There are developable surfaces in R4 which are not ruled.
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Een ontwikkelbaar oppervlak of ...... de twee metrieken niet nodig.
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Eine abwickelbare Fläche bezei ...... elfläche nennt man auch Torse.
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Enkelkrökt yta är en yta som e ...... ta ibland developable surface.
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In mathematics, a developable ...... called a developable surface.
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Las superficies desarrollables ...... eglada sea idénticamente nula.
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Une surface développable est u ...... e pour un cylindre ou un cône.
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Поверхня, що розгортається в д ...... лоїд;
* площина (тривіально).
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Развёртывающаяся поверхность в ...... ид;
* плоскость (тривиально).
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可展曲面是在其上每一点处高斯曲率为零的曲面。有一个一般性的定 ...... 例子),但是在高维空间中可以举出非直纹曲面的可展曲面的例子。
@zh
可展面(かてんめん、developable surface) ...... スが行われている。 可展面でない曲面を「三次元曲面」と言う。
@ja
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DevelopableSurface
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title
Developable Surface
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Een ontwikkelbaar oppervlak of ...... uit raaklijnen aan een kromme.
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Eine abwickelbare Fläche bezei ...... örper wie Zylinder oder Kegel.
@de
Enkelkrökt yta är en yta som e ...... ta ibland developable surface.
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In mathematics, a developable ...... ces in R4 which are not ruled.
@en
Las superficies desarrollables ...... curvatura gaussiana sea nula.
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Une surface développable est u ...... e pour un cylindre ou un cône.
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Поверхня, що розгортається в д ...... ться, в тривимірному просторі:
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Развёртывающаяся поверхность в ...... тей в трёхмерном пространстве:
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可展曲面是在其上每一点处高斯曲率为零的曲面。有一个一般性的定 ...... 例子),但是在高维空间中可以举出非直纹曲面的可展曲面的例子。
@zh
可展面(かてんめん、developable surface) ...... が可展面ではない。 可展面でない曲面を「三次元曲面」と言う。
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Abwickelbare Fläche
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Developable surface
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Enkelkrökt yta
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Ontwikkelbaar oppervlak
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Superficie desarrollable
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Surface développable
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Поверхня, що розгортається
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Развёртывающаяся поверхность
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可展曲面
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可展面
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