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This fact is overshadowed in England, partly by the habitual use of the word "gentleman" (q.v.) in various secondary uses, partly by the prevalent confusion between ai **dg** retry.

From the series for G and H just obtained it is easy to verify that dH = - 7rvG, dv av - **dG** _ 7rvH -1.

Origin up to the moving origin 0, so that dy x=y=z=o, but dt U, dt= ' **dG** _ dyl =l (- yi y3Q x2w+xiv) +m (dY2yP+Yrxu+xw) +n (?

F" =S 0 0 - (n+1)cp+bp+B„ **dG**"/dO (p const) =0" = dJ"/dB (v const)..

(39) **dG**"/dp (D const) =v, dJ"/dv (0 const) = p. (40) And all the properties of the substance may be expressed in terms of G or J and their partial differential coefficients.

If the system is supposed to obey the conservation of energy and to move solely under its own internal forces, the changes in the co-ordinates and momenta can be found from the Hamiltonian equations aE aE qr = 49 - 1 57., gr where q r denotes **dg** r ldt, &c., and E is the total energy expressed as a function of pi, qi,.

**DG**, it is a " tangent."