Results for the molecular gas in Messier 33. Top: profiles of σ_R and σ_ϕ of CO gas, obtained assuming σ_z = ⟨σ_los⟩_ϕ (dashed blue line, corrected for instrumental dispersion) and a null thermal component. Filled circles are for σ_R and open diamonds are for σ_ϕ. Bottom: profiles of azimuthal velocity anisotropy β_ϕ of CO gas. The solid line shows the anisotropy obtained assuming σ_z = ⟨σ_los⟩_ϕ and a null thermal component, and dashed lines show the ±1 rms errors. For comparison, the anisotropy of the atomic gas as derived from all pixels in the 100 pc resolution velocity dispersion map is shown as a dotted line, and that derived using only the pixels at the positions of the molecular clouds as open triangles. Filled circles are values derived by masking a few deviant dispersions of CO clouds (σ_los >  5 km s⁻¹). Shaded areas are as in Fig. 4.