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Abstract In a paper published by the author in the ‘Philosophical Transactions’ for 1884, “On the Motion of Fluid, part of which is moving rotationally and part irrotationally, ” a certain case of motion, sjᵐmetrical with regard to an axis, was noticed (see pp. 403-405). Taking the axis of symmetry as axis of z, and the distance of any point from it as r, and allowing for a difference of notation, it was shown that the surfaces r2 (r2 / a2 + (z-Z) 2 / c2 - 1) = constant, where a, c are fixed constants, and Z any arbitrary function of the time, always contain the same particles of fluid in a possible case of motion
M. J. M. Hill (Mon,) studied this question.