518 
Proceedings of the Royal Society 
This is the Proposition established in Volume XXI. 
[Mr Todhunter’s elegant demonstration may be farther simplified, 
thus, — we have for all values of cr, 
ic” — 1 = (cc — 1) (a? - a) (a? — /8) . . . (x — /x). 
From this 
aj"“ ^ + a? + . . . + a? + 1 = (ic — a) (cc - /S) . . . (x — fx) 
or, putting x = 1 
n = (l-a)(l-/5) . . . (1-/X). 
P. G. T.] 
At the Meeting on 4th December, the following Gentle- 
men were elected Honorary Fellows of the Society : — 
I. FOREIGN. 
Angelo Secchi, Observatory, Rome. 
II. BRITISH. 
Lieut.-General Edwaed Sabine, R.A., President of the Royal Society 
of London. 
Charles Darwin, Esq., M.A., Down, Bromley, Kent. 
Arthur Cayley, Esq., Professor of Mathematics, Cambridge. 
The following Gentlemen were elected Ordinary Fellows 
at the Meeting of 18th December : — 
The Right Rev. Bishop Morrell. 
William Euing, Esq., Glasgow. 
The following Donations to the Library were announced : — • 
Proceedings and Transactions of the Nova Scotia Institute of 
Natural Science. Vol. II. Part 3. Halifax, 1865. 8vo. — 
From the Institute. 
Medico-Chirurgical Transactions. Vol. XLVIII. London, 1865. 
8vo . — From the Royal Medico-Chirurgical Society. 
Quarterly Journal of the Geological Society. Vol. XXI. Part 4. 
London, 1865. 8vo . — From the Society. 
Proceedings of the Royal Society, London. Vol. XIV. No. 78. 
8vo . — From the Society. 
The Canadian Journal of Industry, Science, and Art. No. 49. 
Toronto, 1865. 8vo . — From the Editors. 
