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Abstract 1. The following investigations were undertaken at the suggestion of Mr. G. I. Taylor as an extension of some of his own. The equation of motion of any system of solids in a liquid which moves without vorticity were obtained by Lord Kelvin by a method based on that of ignorable co-ordinary dynamics. They are of Lagrange's type, and were afterwards obtained by various writers by an adaptation to hydro-dynamics of Lagrange's original method.
J. Proudman (Sat,) studied this question.