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But since Z, w, n are direction cosines referred to the moving axes of a line fixed in space, therefore We can shew that in n-ply connected space n 1 independent irreconcilable and irreducible circuits can be drawn; for in a doubly -connected space such as an anchor ring Fig. Equations referred to moving axes. Steady motion of Solid of Revolution in a Helical Path. Shew that any two-dimensional irrotational motion of a liquid may be transformed into any other by multiplying the velocity of each particle of the fluid by e p and turning its direction round through an angle Q 9 where P, Q are suitably chosen conjugate functions of x t y.
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