1891.] Mr Sharpe, On Liquid Jets under Gravity. 



269 



whether this is the largest admissible value of b (for ra = 8 and 9) 

 I am not sure. The result is that I get a curve something of 

 this shape (fig. 3) for BEF. 



Fiff. 3 • 



One noticeable feature is the existence of a long spout or pipe- 

 like portion OF before we reach the orifice F, which may perhaps 

 explain the result noticed in Art. 6. 



I am afraid this spout exists in all solutions obtained by the 

 present method. There is an interesting point about the curvature 

 of the outer stream-line in the neighbourhood of F. It will be 

 found from equations (14) and (18) that there is a sudden change 

 of curvature at F — that the curvature on the right of F divided 

 by curvature on left of F gives a small quantity of the order 

 1/p, thus corroborating (as far as the approximate character of 

 the present method will allow) a remark of Kirchhoff found at the 

 end of Art. 96 of Lamb's Motion of Fluids. 



(5) Theory of Contact- and Thermo- Electricity. By J. 

 Parker, M.A., St John's College. 



In this paper, which treats of an electrified system of metals 



situated at rest in a vacuum in an unvarying state, we shall use the 



electromagnetic C.G.S. units, so that if Q, Q' be the charges of 



two small bodies at a distance of r centimetres, the electric 



QQ' 

 repulsion between them is e -^- dynes, where e is the constant 



87 x 10 19 . 



We first require to know the energy U and entropy (f> of our 

 system. The system being necessarily so chosen that its total 



