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Proceedings of the Royal Society 
of the Eoyal Society, and he thought he used a certain amount of 
artifice or subterfuge when he made that representation. They had 
now concluded the 99th Session, and not the 100th. Like other 
centenarians, their claims up to this point had not been well-founded, 
as the first year of the century began in November 1783. At that 
time the Society was divided into two Classes — the Physical and 
the Literary. The Physical met first on the 4th of November 1783, 
and the Literary on the 17th of the same month. They would, 
however, celebrate the commencement of their 100th Session on the 
first Monday in December. Eef erring to the division which origin- 
ally existed in the Society as to Physical and Literary classes, the 
President said that some one had suggested that they should follow 
in the footsteps of their predecessors, and have at intervals purely 
literary papers read in the Society. The reason why that for a 
Society of that kind scientific researches were more appropriate was 
that the literary was fluctuating and stationary, whereas the scien- 
tific papers read at their meetings marked the progress of science. 
Still, he had an ambition in some degree or other to resuscitate that 
good example of their forefathers, and accordingly next Session he 
would invite any of the Fellows of the Society who felt inclined to 
form a Literary class. In conclusion, the President said that at the 
commencement of next Session he would review the hundred years’ 
history of their Society. 
The following Pa’per was read June l^th ;■ — 
Mathematical Note. By A. H. Hallam Anglin, M.A., LL.B., 
M.E.I.A. 
If 
a;”" +. . • ' (A-) 
then loill 
x^{n > m) = -I- Vpd'" + Pga;’’"'® 4- . . . -f P,,^ , 
where 
P r Pr • hfi _ "k Pr -j- i • h,^^ Pm ‘ h^ _ + r > 
being the sum oj the homogeneous products of the roots of {A) of 
n dimensions. 
