This is an expanded version of a manual published under the same title in 1866. It is not known whether or not famed Paris dancing master Coulon actually participated in the assembly of this manual. Most of the manual is a compilation from earlier sources. Demonstrating a growing late nineteenth-century interest in physical education, this new version adds a series of exercises to be performed with poles, dumb-bells, and elastics. Additional exercises emphasize walking, running, and jumping. The manual describes the popular ballroom dances of the era--quadrille, waltz, and polka.