221 
papers. These ratios seem to vary a good deal, and do not 
appear to depend upon the amount of ozone observed. 
Extract of a letter received by the Editor from Mr. 
Vernon, F.R.A.S. May 7th, 1868 
As bearing upon a point in the paper read by Mr. 
Mackereth, F.R.A.S., on ozone observations, X may state 
that between 1856 and 1862 I found from observations 
made at Newby Bridge, Lancashire, and the summit of a 
hill at the same place having a difference of about 500 feet 
of altitude above the sea, that the amount of ozone at the 
higher station was invariably greater than that found at the 
lower one. This X considered was owing to the upper 
station being much more exposed to strong atmospheric 
influences. This corroborates strongly what Mr. Mackereth 
has found in the neighbourhood of Windermere. 
It is very unfortunate that we have no ozone observations 
round our eastern coasts, as that would tend to solve the 
question as to the very small amounts found during the pre- 
valence of easterly winds, and we should then be able to 
see if an easterly sea breeze developed it. Some of the 
favourite watering places on the Yorkshire coast — Scarbo- 
rough, Whitby, Filey, Flamborough Head, &c. — would just 
be the places for making these observations. 
“ Note on the Correction of an Algebraic Solution,” by the 
Bev. Thomas P. Kirkman, M.A., F.R.S., Hon. Member of 
the Society. Received by the Editor June 8th, 1868. 
An important step in the reasoning is omitted at p. 147. 
It is not true that the four functions in lines 2, 4, 8, and 9 
are rational functions of the coefficients of G~0. They are 
all five- valued functions of x^. ..x 3} and their values are 
are first to be formed on the following five shapes of our 
