Example of application of Eq. (15) to N-body data. Frame (a) displays velocities and velocity dispersions measured in a radial annulus at R = 1.8 − 2.2, while in (b) LOS-integrated quantities at axial distance x = 1.8 − 2.2 are shown. In (a) the dashed line indicates the circular velocity as a function of z, and the thick blue (above) and red curves (below) are the mean tangential velocities for the thin and thick discs, respectively. Thin curves are the radial-velocity dispersions. The symbols refer to variations in the application of Eq. (15): the filled black circles include all terms, evaluated numerically at the radial annulus (h_Rt = 1.1, h_RT = 1.2, h_vt = 1.4, h_vT = 1.5, k₀ = 1; measured σ_R(z), σ_ϕ(z), and σ_z(z) values are used). For the thick disc, other approximations are also shown. The crosses correspond to the case where σ_R(z), σ_ϕ(z), and σ_z(z) are replaced with their mean values for |z| <  2h_zt (0.27, 0.23, and 0.28, respectively; this improves agreement, probably because the values are less noisy). Diamonds indicate σ_z/σ_R = 0.7 and σ_ϕ/σ_R = 0.7. Finally, open circles correspond to h_R = 1, h_v = 1. Frame (b) shows LOS integrated quantities separately for thin (blue curves; below) and thick discs (red; above). For the thin disc, the solid circles are calculated using the corrected σ_t(c) (see the text), while open circles use the non-corrected velocity dispersion, dominated by the large range of mean velocities along the LOS. In both cases, Eq. (15) is applied with the h_R and h_v values measured from the LOS-integrated radial profiles, while σ_z/σ_R = 0.7, σ_ϕ/σ_R = 0.7, and k₀ = 1 are assumed.