provided that the LG temperature variable t is scaled so that t$_{c}$ = 1. In view of Eq. (9) it should be noted that if T$_{Z}$ and n$_{b}$ are fixed then the parameter z parameterizes the locus of the CP: n$_{c}$ n$_{b}$ + T$_{c}$ T$_{Z}$ = z + 1 / 2 1 + z (11) Z = P n T = 1 + ∞ ∑ k =1 B$_{k}$$_{+1}$ ( T ) n k (12) B$_{2}$ ( T$_{B}$ ) = 0 , (13) Z − 1 = n B$_{2}$ ( T ) + B$_{3}$ ( T ) n 2 + . . . = 0 (14) n$_{Z}$ n$_{b}$ = 1 − T T$_{Z}$ (15) in a form of is the simplest choice but in general T$_{Z}$ = T$_{B}$ because (13) does not guarantee the correct slope of the Zeno line. Indeed if one search the solution of the equation: where B$_{k}$ ( T ) is the virial coefficients [17], the limiting state T$_{Z}$ with n$_{Z}$ → 0 is the point where the nontrivial branch of the solution of Z = 1 emerges from the axis n = 0 with the specific tangent determined by T$_{Z}$ itself. Clearly the Boyle temperature T$_{B}$ determined by the condition: Two limiting Zeno states T → 0 , n → n$_{b}$ and T → T$_{Z}$, n → 0 form the triangle of the Zeno states [11]. It should be noted that the temperature T$_{Z}$ of the limiting Zeno state with n$_{Z}$ → 0 does not necessary coincide with the Boyle temperature T$_{B}$ as was originally proposed in [9]. In [9] the Boyle state n → 0 , T = T$_{B}$ as an obvious limiting Zeno state is used and then the parameter n$_{b}$ is defined by Eq. (6). But any state on n -axes can be used in such way. Two limiting Zeno states n → 0 , T = T$_{Z}$ and n = n$_{b}$ , T → 0 belong to two physically different thermodynamic regions. Therefore there is no apriori physical reasons to define the value n$_{b}$ basing on T$_{B}$ . From the point of view of the virial expansion: This means that for the substances belonging to the same class of the corresponding states the loci of the critical points scaled to the T$_{Z}$ and n$_{b}$ lie along the straight line. This correlates with the empirical analysis in [14]. Because both T$_{Z}$ and T$_{c}$ are determined by the interparticle potential the parameter z can be connected with its symmetry properties. Note that all results obtained rely solely on the geometrical facts about phase diagrams of the Lattice Gas and the fluid and do not depend on the specific details of the interactions. 5