Abstract: The consideration of Steiner Points and Steiner Trees on the study of molecular structure of biopolymers was the theme of many previous works. In the present work, the correlation between Amide Plane formation and the position of atom sites as given by Steiner points and the alpha-carbon geometry was analyzed in terms of small perturbations of bond and dihedral angles. We restrict the modelling to linear programming since this is seen to be enough to unveil the robustness of Amide Plane structures. The independence of this kind of modelling on helix curves is another result that should be emphasized by aiming to a future nonlinear programming approach.