1888.] S. A. WiW —Tornadoes and Hailstorms in tlie Boah. 207 



7. The Tornadoes and Hailstorms of last April and May in the Doah 

 and BohilJvhand. — By S. A. Hill, Esq., B. Sc, Meteorological Reporter 

 to tlie Government of the N. W. Provinces and Oudh. 



[Received October 6th.] 



(Abstract.) 



An account of the violent tornadoes and hailstorms which visited 

 Moradabad and other places on the 30th April 1888, and of the storms at 

 Delhi and Tilhar on the following day. The paper gives as complete an 

 account of the times of occurrence and course of these storms as can be 

 made out from the reports obtained from district officers and others, also 

 of the destruction of life and property occasioned by the wind, and 

 especially by the hail, which accompanied them. It then goes on to 

 show that, whilst the conditions likely to generate such storms are not 

 readily terminable from pressure and wind charts at or near sea- level, 

 these conditions are probably explicable by the distribution of pressure 

 at the cloud-level, and that, on the (Jays when the storms occurred, the 

 vertical distribution both of temperature and water vapour was yery 

 anomalous. 



The paper contains appendices giving the local reports of the storms, 

 with charts. 



8. Some applications of Ellipic Functions to problems of mean values 

 (second paper).— % Babu Asutosh Mukhopadhyay, M. A., F. R. A. S., 

 F. R. S. E. 



(Abstract.) 

 The problem of determining the average area common to an ellipse 

 and a concentric circle of variable radius always intersecting it, was, 

 among other questions, discussed in the author's first paper on " Some 

 Applications of Elliptic Functions to Problems of Mean Values," an 

 abstract of which has been given before (p. 184 ante) ; the present 

 paper is devoted to a discussion of the corresponding space analogue, 

 viz., to determine the average volume common to an ellipsoid and a 

 concentric sphere of variable radius always intersecting it. The paper 

 is divided into six sections, of which the first is introductory ; it is 

 pointed out that there are two distinct cases according as four, or only 

 two, of the vertices of the ellipsoid are external to the sphere ; these 

 two cases correspond to the two cases of the radius of the sphere lying 

 between the middle and the shortest axis, and between the middle and 

 the longest axis of the ellipsoid. The next four sections contain a 

 detailed examination of the first case ; the second section gives an ex- 

 pression for the common volume and the third section calculates the 

 mean value sought ; the result is expressed in terms of Jacobi's func- 



