# Normal-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 **normal-developable** if there is a curve on the surface such that every normal to the curve also lies on the surface, and further, such that the unions of these normal lines is the whole surface.