In earlier treatments of the title problem it was found that it is imp
ossible, in general, to obtain solutions of Stokes's equations of slow
viscous flow in which the fluid velocity vanishes at infinity. It is
shown here that the paradox can be resolved by the introduction of a r
esultant force on the cylinders. This enables the solution to be match
ed to an outer solution of the full Navier-Stokes equations.