Vol. 32. 



DECEMBER 1891 



No. 199. 



Published the First Day of every Month. — Price 2s. 6d. 



THE 



2-3 \f 



LONDON, EDINBURGH, asd DUBLIN 



PHILOSOPHICAL MAGAZINE, 



AND 



JOURNAL OF SCIENCE. 



Being a Continuation of Tilloclis 'Philosophical Magazine,' 

 Nicholson s l Journal ,' and Thomson's 'Annals of Philosophy.'' 



CONDUCTED BY 



SIR WILLIAM THOMSON, Knt. LL.D. P.R.S. &c. 

 GEORGE FRANCIS FITZGERALD, M.A. Sc.D. F.R.S. 



AND 



WILLIAM FRANCIS, Ph.D. F.L.S. F.R.A.S. F.C.S. 



FIFTH SERIES. 



N° 199.— DECEMBER 1891. 



WITH TWO PLATES. 



Illustrative of Prof. J. Perry's Paper on a Table of Zonal Spherical 

 Harmonics ; and Prof. C. A. Carus Wilson's on the Influence of 

 Surface-Loading on the Flexure of Beams. 



LONDON: 



PRINTED BY TAYLOR AND FRANCIS, RED LION COURT, FLEET STREET. 



Sold by Simpkin. Marshal), Hamilton, Kent, and Co., Ld. ; and Whittaker and Co. ; — 

 and' by A. and C. Black, and T. and T. Clark. Edinburgh. ; Smith and Son, 

 Glasgow: — Hodges, Figgis, and Co., Dublin. — Putnam, New York: — Veuve J". 

 Boyveau, Paris : — and Asher and Co., Berlin. 



