[en] The theoretical procedure for the determination of the multiply differential cross sections (MDCS) applied recently [1, 2] to the vertical photo-double ionization of a diatomic N₂ molecule is extended to the three center CO₂ molecule producing dissociative ${\mathrm{C}\mathrm{O}}_2^{2+}$ dication. Dyson orbitals for the bound active electrons are introduced, and the parameterized three-center continuum wave function in its correlated form is used to describe the two ejected electrons. The variation of the MDCS for the coincidence detection of the two ejected electrons, for a randomly orientated internuclear axis is studied. The comparison of our results to those obtained by the Gaussian parametrization formula shows the similarities and the differences between the behavior of an atomic target and CO₂. (paper)