The property of $V$ from Proposition 1.18 can be alternatively reformulated in terms of the moment map $\bar{\mu}_{\Delta}:\mathbb{C}T_{\Delta}\to\Delta$, see 1.3. The image $\mu(V)$ is disjoint from the vertices of $\Delta$ but intersects every positive-dimensional face of $\Delta$. According to [4] the image $\mu(V)$ is called the compactified amoeba of ${V}^{\circ}$. This restatement is equivalent to the property from Proposition 1.18, since for any face $\Delta^{\prime}\subset\Delta$ we have $\mu(\mathbb{C}T_{\Delta^{\prime}})=\Delta^{\prime}$.