Abstract: As a concrete application of the concepts of "derivative space" and"correspondent kinetic energy" in derivative space, and of foe thought of "treatingnonholonomic systems by changing them into formal holonomic system" which theauthors have previously proposed in references [1, 2, 3]. this paper derived another newuniversal D'Alembert principle and a new Maggi equation for arbitrary ordernonholonomic mechanical systems. An example using the Maggi equation is given.

Key words: derivative space, correspondent kinetic energy, nonholonomicsystem. formal holonomic system, universal D'Alembertprinciple, new Maggi equation