Geological Society. 545 



thus, if W is such a function and m a germ, e mW is equivalent to 



<p(W). E. g. the equation 



du clu , , 



— =a —+bu 

 dy doc 



has for its general integral u=Ce?*+ m 9, where I and m are germs 

 connected by the equation m=cd + b; so that the general integral 

 becomes 



which is equivalent to 



u=e b yty(cc + ay), 



the solution in its usual form. This brief notice will, perhaps, be 

 sufficient to direct attention to an essay whose contents are at least 

 ingenious and original, and possibly important. 



LXYI. Proceedings of Learned Societies. 



GEOLOGICAL SOCIETY. 



[Continued from p. 475.] 



November 8th, 1876.— Prof. P. Martin Duncan, M.B., E.R.S., 



President, in the Chair. 



THE following communications were read : — 

 1. " A short notice of a new exposure of Bneetics near Not- 

 tingham, in a letter from E. Wilson, Esq., E.G.S., dated November 

 3rd, 1876," in which he said : — 



" Since March 1875, when I drew public attention to the occurrence 

 of Khsetics near Stanton, on the new Midland line from Nottingham 

 to Melton (notice whereof has been already communicated to the 

 Geological Society), that section has not been any further exposed. 

 Meanwhile the London and North-Western Railway Company are 

 rendering geological science a service by showing a similar but more 

 complete succession of Khaetics in a cutting close to Barnston, on 

 their new Bingham branch. Here the uppermost Keuper marls, 

 with their gypsum bands, are succeeded as usual by the hard light 

 blue marls (? lower Rhaetic), 12 feet exposed. Above these come 

 the ' Avicula-contorta ' shales, consisting below of about 13 feet 

 of ' paper shales ' with their variable yellow sandstones in their 

 upper portion, and a 2-inch bone-bed replete with the usual fish 

 remains &c. 1 ft. 6 in. from their base, and graduating up into a 

 series of more earthy and thickly laminated dark blue shales, esti- 

 mated thickness 18 to 19 feet. Odd limestone nodules occur about the 

 middle of this last series ; and at from 2 to 3 feet from the top similar 

 nodules set in, becoming rather more plentiful upwards, and in the 

 highest 6 inches forming an incomplete layer. These Rheetics are 

 capped by alternating thin-bedded blue limestones and brown clays 

 (Lower Lias), 10 feet exposed ; the lowest limestone of which, 

 at the base, a compact or concretionary bed from 3 to 7 inches 

 thick, contains Modiola minima and Myacites unionides. These 

 beds appear to be the equivalents of the ' Eirestones ' and ' Guineas ' 

 of Warwickshire, and of similar beds lately noticed by Mr. Harrison 



Phil. Mag. S. 5. No. 14. Swppl. Vol. 2. 2 K 



