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On the Differential Coefficients and Determinants of Lines, and their 

 application to Analytical Mechanics. By A. Cohen 176 



On the Theory of Probabilities. By Professor George Boole, F.R.S. 179 



On Simultaneous Differential Equations in which the number of 

 Variables exceeds by more than unity the number of the Equations. 

 By Professor George Boole, F.R.S 184 



On the Calculus of Symbols. Third Memoir. By W. H. L. Russell, 

 A.B ; 184 



On the Properties of Electro-deposited Antimony (concluded). By 

 George Gore 185 



On the Sulphur-Compounds in Purified Coal-Gas, and on Crystal- 

 lized Hydrosulphocarbonate of Lime. By the Rev. W. R. Bow- 

 ditch, B.A., F.C.S 185 



On the Geometrical Isomorphism of Crystals. By the Rev. W. 

 Mitchell 190 



On the Forces concerned in producing the larger Magnetic Disturb- 

 ances. By Balfour Stewart, M.A., F.R.S 194 



Experimental Researches on the Transmission of Electric Signals 

 through Submarine Cables. Part I. Laws of Transmission through 

 various lengths of one Cable. By Fleeming Jenkin 198 



On the Thermal Effects of Fluids in Motion. Part IV. By J. P. 

 Joule, LL.D., F.R.S., and Professor W. Thomson, F.R.S 202 



On the Spectra of Electric Light, as modified by the nature of the 

 Electrodes and the Media of Discharge. By the Rev. T. R. Robin- 

 son, D.D., F.R.S 202 



On Fermat's Theorem of the Polygonal Numbers. Second Com- 

 munication. By the Right Hon. Sir Frederick Pollock, F.R.S., 

 Lord Chief Baron 205 



On the Oxidation and Disoxidation effected by the Alkaline Peroxides. 

 By B. C. Brodie, F.R.S 209 



On the Relative Speed of the Electric Wave through Submarine 

 Cables of different lengths, and a Unit of Speed for comparing 

 Electric Cables by bisecting the Electric Wave. By Cromwell F. 

 Varley 211 



On the Production of Vibrations and Sounds by Electrolysis. By 

 George Gore , 217 



On the Synthesis of Tribasic Acids. (Preliminary Notice.) By 

 Maxwell Simpson, M.B., F.R.S 236 



Notice of Remarkable Hailstones which fell at Headingley, near 

 Leeds, on the 7th of May, 1862. By Thomas Sutcliffe 239 



On the true Theory of Pressure as applied to Elastic Fluids. By 

 R. Moon, M. A., late Fellow of Queen's College, Cambridge 242 



On the Nerves of the Liver, Biliary Ducts, and Gail-Bladder. By 

 Robert Lee, M.D., F.R.S 246 



