Developable surface
Developable De*vel"op*a*ble, a. Capable of being developed. --J. Peile. [1913 Webster]

{Developable surface} (Math.), a surface described by a moving right line, and such that consecutive positions of the generator intersect each other. Hence, the surface can be developed into a plane. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Developable surface — In mathematics, a developable surface is a surface with zero Gaussian curvature. That is, it is a surface that can be flattened onto a plane without distortion (i.e. stretching or compressing ). Conversely, it is a surface which can be made by… …   Wikipedia

  • developable surface — noun A surface (in more than two dimensions, a plane is trivially developable) that can be flattened into a plane without distortion …   Wiktionary

  • developable surface — noun Etymology: translation of French surface développable : a surface that may be imagined flattened out upon a plane without stretching any element * * * Math. a surface that can be flattened onto a plane without stretching or compressing any… …   Useful english dictionary

  • developable surface — Math. a surface that can be flattened onto a plane without stretching or compressing any part of it, as a circular cone. * * * …   Universalium

  • Developable — De*vel op*a*ble, a. Capable of being developed. J. Peile. [1913 Webster] {Developable surface} (Math.), a surface described by a moving right line, and such that consecutive positions of the generator intersect each other. Hence, the surface can… …   The Collaborative International Dictionary of English

  • Developable — In mathematics, the term developable may refer to: A developable space in general topology. A developable surface in geometry. This disambiguation page lists articles associated with the same title. If an internal link …   Wikipedia

  • developable — adj. that can be developed. Phrases and idioms: developable surface Geom. a surface that can be flattened into a plane without overlap or separation, e.g. a cylinder …   Useful english dictionary

  • Ruled surface — A hyperboloid of one sheet is a doubly ruled surface: it can be generated by either of two families of straight lines. In geometry, a surface S is ruled if through every point of S there is a straight line that lies on S. The most familiar… …   Wikipedia

  • Tangential developable — In the mathematical study of the differential geometry of surfaces, a tangential 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… …   Wikipedia

  • Conical surface — A circular conical surface In geometry, a (general) conical surface is the unbounded surface formed by the union of all the straight lines that pass through a fixed point the apex or vertex and any point of some fixed space curve the directrix… …   Wikipedia

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