About representation of two-dimensional clothing sites in tangent and normal stratifications of multi-dimensional surface of Euclede space

In the n-dimensional Euclede space En with the current point A the m-surface S_m = (A)_m with the tangent m-n planes L_m and normal planes P ⊥ L_m in the corresponding points A ∈ S_m is considered. Then, the tangent (S_m;L_m) and normal (S_m;P) stratifications are invariantly associated with the m-surface S_m ⊂ E_n. In the corresponding clothings in these stratifications two-dimensional planes L₂¹ ⊂ L_m and P₂ ⊂ P₁, which pass through the point A ∈ S_m, are given. The symbol χ ∈ L₂¹ denotes the straight line in L₂¹ passing through A which is called direction. The symbol T_z(χ) denotes a tangent linear subspace of the 1-family of straight lines z ∈ L_m passing through A towards χ, that is to say, to the 1-family formed by the straight lines Z along the direction χ.