Double ionization of He and Ne by charged particle impact was explored in kinematically complete experiments measuring the final momenta of the two emerging electrons (P-e1(f), P-e2(f)) and of the recoiling target ion P-R(f). The momentum transfer from the 3.6 MeV/u Se28+ projectile to the electrons is found to be negligibly small. Thus distinct patterns observed in the P-e1(f)-versus-P-e2(f) spectra sensitively reflect the details of the electrons' correlated motion. Classical calculations reasonably describe the data only when the (e-e) interaction during the ionization reaction is included.