Corpus ID: 234741768

Singularities of parallels to tangent developable surfaces

  title={Singularities of parallels to tangent developable surfaces},
  author={G. Ishikawa},
It is known that the class of developable surfaces which have zero Gaussian curvature in three dimensional Euclidean space is preserved by the parallel transformations. A tangent developable surface is defined as a ruled developable surface by tangent lines to a space curve and it has singularities at least along the space curve, called the directrix or the the edge of regression. Also the class of tangent developable surfaces are invariant under the parallel deformations. In this paper the… Expand


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