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The unified geometrical interpretation of the linear character of theZeno-line (unit compressibility line Z=1) and the rectilinear diameter isproposed. We show that recent findings about the properties of the Zeno-lineand striking correlation with the rectilinear diameter line as well as otherempirical relations can be naturally considered as the consequences of theprojective isomorphism between the real molecular fluids and the lattice gas(Ising) model.

Simple geometrical interpretation of the linear character for the Zeno-line and the rectilinear diameter