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Consider a codimension $1$ submanifold $N^n\subset M^{n+1}$, where$M^{n+1}\subset\mathbb{R}^{n+2}$ is a hypersurface. The envelope of tangentspaces of $M$ along $N$ generalizes the concept of tangent developable surfaceof a surface along a curve. In this paper, we study the singularities of theseenvelopes.  There are some important examples of submanifolds that admit a vector fieldtangent to $M$ and transversal to $N$ whose derivative in any direction of $N$is contained in $N$. When this is the case, one can construct transversal planebundles and affine metrics on $N$ with the desirable properties of beingequiaffine and apolar. Moreover, this transversal bundle coincides with theclassical notion of Transon plane. But we also give an explicit example of asubmanifold that do not admit a vector field with the above property.

Equiaffine Darboux Frames for Codimension 2 Submanifolds contained in Hypersurfaces