Contents. vii 



December 3, 1877. 



On an optical method for investigating rotary motion. By Lieut. 



G. S. Clarke, E.E 90 



Note on the spectra of calcium fluoride. By Professor Liveing . . 96 



February/ 11, 1878. 



On factor tables, with an account of the mode of formation of the factor 



table for the fourth million. By J. W. L. Glaisher . . 99, 228 



February 25, 1878. 



On a new kind of self-acting weir recently introduced on the rivers of 



France and Belgium. By J. B. Pearson 138 



On a manuscript table of Napierian log. sines, &c. By J. B. Pearson . 146 



On a manuscript volume of astronomical tables. By J. B. Pearson . 150 



March 11, 1878. 



On a paradox in the theory of attraction. By E. Moon . . . 155 



On a theorem of Abel's relating to a quintic equation. By Professor 



Cayley 155 



March 25, 1878. 



On the reversal of the lines of metallic vapours. By Professors Liveing 



and Dewar 160 



May 6, 1878. 



On Boltzmann's theorem on the average distribution of energy in a 



system of material points. By Professor J. Clerk Maxwell . .161 



May 20, 1878. 



An elementary discussion of some points connected with the influence of 



geological changes on the earth's axis of rotation. By E. Hill . 161 



October 21, 1878. 

 On a series of lunar distances. By J. B. Pearson 167 



October 28, 1878. 



On the transformation of coordinates. By Professor Cayley . . .178 

 On circulating decimals with special reference to Henry Goodwyn's 

 "table of circles" and "tabular series of decimal quotients." By 

 J. W. L. Glaisher 185 



November 4, 1878. 



The physical constants of hydrogenium. Part II. By Professor Dewar 207 

 Studies in spectrum analysis. By Professors Liveing and Dewar . . 208 



