212 Library. [Dec, 



little doubt that the relations pointed out by me did really exist as a 

 physical fact during the years treated of in Mr. Hill's original paper. 



With regard to Mr. Blanford's refinement of the process of smooth- 

 ing, I think Mr. Hill carried the process far enough for most practical 

 purposes, and little advantage can be gained by further refinement. 

 When there are only few minor period oscillations to a major one, much 

 smoothing is unnecessary ; it appears to me that it is only in cases where 

 the small period oscillations or irregularities crowd numerously into the 

 larger period ones, and are of such amplitude as to almost completely 

 mask the larger period ones, that it is necesary to increase the number of 

 terms of the smoothing formula. 



The Peesident explained that Mr. Pearson had misunderstood what 

 he had said at the last meeting with reference to Mr. Pearson's method 

 of smoothing the results of meteorological observations. 



Library. 



The following additions have been made to the Library since the 

 meeting held in November last. 



Transactions, Proceedings and Journals, 



presented by the respective Societies and Editors. 



Baltimore. Johns Hopkins University, — American Journal of Mathema- 

 tics, Vol. VII, No. 1. 



Bombay. Indian Antiquary,— Vol. XIII, No. 163, November, 1884. 



Calcutta. Indian Meteorological Memoirs, — Vol. II, Part 3. 



Edinburgh. Royal Society of Edinburgh, — Proceedings, 1881-83. 



m . Transactions,— Vols. XXX, Parts 2, 3 ; XXXII, 



Part 1. 



Lahore. Anjuman-i-Punjab, — Journal (English Section), Vol. IV, 

 Nos. 44—47. 



London. Academy, — Nos. 650 — 653. 



. Athenaeum —Nos. 2973-2976. 



Nature— Vols. XXX, Nos. 781—783 ; XXXI, No. 784. 



. . Royal Astronomical Society, — Memoirs, Vol. XLVIII, Part 1. 



. Royal Geographical Society, — Proceedings, Vol. VI, Nos. 



9, 10, September and October, 1884. 



. Royal Society of London, — Philosophical Transactions, Vol. 



CLXXIV, Parts 2, 3. 



