We particularize (4.90) to the case of one-dimensional vertical orbits. Let $\Lambda$ be a $(n-1)$-dimensional polyhedron. Hence $V(\Lambda)$ is a vertical curve. Let $\Lambda_{1}$ and $\Lambda_{2}$ be the two $n$-dimensional polyhedron that have $\Lambda$ as a common face. Let $v\in N_{\mathbb{Q}}$ such that the class $[(v,0)]$ is a generator of the lattice ${\widetilde{N}}(\Lambda)$ and the affine space $(v,0)+\mathbb{R}\operatorname{c}(\Lambda)$ meets $\operatorname{c}(\Lambda_{1})$. This second condition fixes one of the two generators of ${\widetilde{N}}(\Lambda)$. Then, by equation (4.25)