In fact, there is a deep mistake in Newton's approach to resistance forces that came to be understood only at the beginning of the twentieth century. Resistance forces do not arise from independent contributions made by such factors as the viscosity and inertia of the fluid. Consequently, no polynomial consisting of a few always positive terms in powers of velocity can ever be adequate for resistance forces. The first indication of this came when d'Alembert, unhappy with Newton's ad hoc theory f