VI CONTENTS. 



ARTICLE PAGE 



XIV. — On Non-modular Groups. By the Eev. Thomas P. Kirkman, 

 M.A., F.E-.S., and Honorary Member of the Literary and 



• Philosophical Societies of Manchester and Liverpool 204 



XV. — Note on DiflFerential Resolvents. By William Spottiswoode, 

 M.A., F.R.S. Communicated by the Rev. Robert Harley, 



F.R.A.S 227 



XVI. — On a certain Class of Linear Differential Equations. By the 

 Rev. Robert Harley, r.R.A.S., Corresponding Member of 



the Literary and Philosophical Society of Manchester 232 



XVII. — On the Influence of the Earth's Rotation on Winds. By 



Thomas Hopkins, Esq., M.B.M.S 246 



XVIII. — On the New Red Sandstone and Permian Formations, as 

 Sources of Water-supply for Towns. By Edward Hull, 



B.A,, F.G-.S., of the G-eological Survey of Great Britain 256 



XIX.— On Ocean Swell. By Thomas Heelis, Esq., F.R.A.S 276 



XX. — Notes on the Introduction of Steam Navigation. By J. C. 



Dyer, Esq 284 



XXI.— On the Solution of the Differential Resolvent. By W. H. L. 

 Russell, A.B. Communicated by the Rev. Robert Harley, 



F.R.A.S 296 



XXII. — Note as to Two Events in the History of Steam Navigation. 

 By W. J. Macquorn Rankine, C.E., LL.D., F.R.S., Hon. 

 Mem. of the Literary and Philosophical Society of Man- 

 chester 301 



XXIII. — On the Planet Mars. By James Nasmyth, Esq., C.E., in a 



Letter to Joseph Sidebotham, Esq 303 



XXIV. — On the Wave of High Water ; with Hints towards a New 



Theory of the Tides. By Thomas Carrick 306 



XXV. — On the Number of Days on which Rain falls annually in 

 London, from observations made dm^ing the fifty-six 

 years, 1807 to 1862. By G. V. Vernon, Esq., F.R.A,S., 



M.B.M.S 334 



XXVI. — On the Rain-fall at Oldham during the years 1836 to 1862. 

 By John Heap, Esq. ; with Remarks by G. V. Vernon, Esq., 



F.R.A.S., M.B.M.S 338 



XXVII. — Further Observations on the Carboniferous, Permian, and 

 Triassic Strata of Cumberland and Dumfries. By the Pre- 

 sident, E. W. BiNNEY, F.R.S., F.G.S 343 



XXVIII. — On an Apparatus for Measuring Tensile Strengths, especially 



of Fibres. By Charles O'Neill, Esq., F.C.S. 389 



XXIX. — Experiments and Observations upon Cotton. By Charles 



O'Neill, Esq., F.C.S 394 



