If) 
lynllus, two specimens of Tcllina and Cardium edule. The 
City Engineer, Mr. J. G. Lynde, F.G.S., had given him the 
exact height of the spot where the fossils were found at as 
568 feet above the level of the Irish sea. 
Shells, identical with recent sea shells, have been found 
at much greater elevations on the mountains of North 
Wales, but very few so far inland ; for the locality where the 
specimens were met with is full fifty miles in a straight line 
from the Irish sea, and a greater distance if the water courses 
of the Etherow and Mersey are followed. Mr. John Taylor 
has found recent marine shells in the sands of Bredbury and 
Hyde, which he has described in the Transactions of the 
Manchester Geological Society, and Mr. Prestwich informed 
him that he has found similar fossils on the Buxton Road, 
about three miles from Macclesfield, but the specimens herein 
described are the first that have been noticed in the deep 
vallies running up into the sides of the pennine chain. 
He further stated that he had found a large mass of 
greenstone, evidently a travelled rock of the drift period, at 
the extreme end of one of the tributary vallies of the Tame, 
in Saddlewortli, as high up as New Year’s Bridge, near 
Denshaw Vale. All these facts prove the former presence of 
the sea (in some cases containing inhabitants similar to those 
found on our present coasts) high up on the sides of the 
Cheshire, Yorkshire, and Derbyshire hills at a recent period 
geologically speaking, and show that many of our deep vallies 
have not been formed by the streams of water now traversing 
them, but are chiefly due to the more powerful action of the 
waters of the ocean, most probably assisted by ice. 
A communication “ On certain I, inear Differential Equa- 
tions,” by James Cockle, Esq., M.A., F.R.A.S., F.C.P.S., &c., 
was read by the Rev. Robert Harley, F.R.A.S. 
At pages 11 to 14 of the Society’s Proceedings for the 4th 
of November last, Mr. Harley has made an important con- 
