# Tangent-developable surface

From Diffgeom

This article defines a property that makes sense for a surface embedded in , viz three-dimensional Euclidean space. The property is invariant under orthogonal transformations and scaling, i.e., under all similarity transformations.

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## Definition

A surface embedded in is said to be **tangent-developable** if there is a curve on the surface such that the tangent lines to the curve all lie completely on the surface, and further, such that the union of these tangent lines is the whole surface.