IV CONTENTS. 



Page 



Lett, F.S.A., F.S.S., C. W. Siejtejts, F.E.S., Colonel Stkes, F.E.S., 

 M.P., Professor A. W. Williamson, F.R.S., James Yates, F.R.S., Dr. 

 George Gloyee, Sir Joseph Whitwoeth, Bart., F.R.S., J. E. Napier, 

 H. DiECKS, J. V. N. Bazaigette, "W. Smith, Sir W. Fairbairk, Bart., 

 F.E.S., and John Robhtson : — Professor Leoj^e Levi, Secretary .... 198 



Eeport of the Committee appointed for the purpose of promoting the 

 extension, improvement, and harmonic analysis of Tidal Observations. 

 Consisting of Sir William Thomson, LL.D., F.E.S., Prof. J. C. Adams, 

 F.E.S., J. Oldham, William Paekes, M. Inst. C.E., Prof. Eanklse, 

 LL.D., F.E.S., and Admiral Eichaeds, E.N"., F.E.S 201 



NOTICES AND ABSTRACTS 



OF 



MISCELLANEOUS COMMUNICATIONS TO THE SECTIONS. 



MATHEMATICS AND PHYSICS. 



Address by Professor P. G. Tait, M.A., F.R.S.E, President of the Section , . 1 



Mathematics. 



Mr. Robert Sta'well Ball's exhibition and description of a Model of a 

 Conoidal Cubic Surface called the " Cylindroid," which is presented in the 



Theory of the Geometrical Freedom of a Rigid Body 8 



Professor Catley on the Number of Covariants of a Binaiy Quantic 9 



Mr. W. K. Cliffoed on a Canonical Fonn of Spherical Harmonics 10 



Mr. J. W. L. Glaishee on certain Definite Integrals 10 



— ■ — ~ on Lambert's Proof of the In-ationality of tt, and on 



the L-rationality of certain other Quantities 12 



Mr. C. W. Meeelfield on certain Families of Surfaces 18 



INIr. F. W. NEvraiAN on Doubly Diametral Quartan Ciu-ves 20 



Professor Purser's Remarks on Napier's original Method of Logarithms 23 



Mr. W. H. L. Russell on Linear Differential Equations 23 



on MacCuUagh's Theorem 23 



Mr. J. J. Stltesteh. on the Theory of a Point in Partitions 23 



Sir W. Thomson on the General Canonical Form of a Spherical Harmonic of 



the nth Order 25 



