Transactions of the Cambridge Philosophical Society 



RECENT PAPERS 



Vol. XXII. 

 No. X. 



XI. 



XII. 



XIII. 



I 



XIV. 



XV. 



XVI. 



On the Fifth Book of Euclid^s Elements (Fourth 

 Paper). By M. J. M. Hill, M.A., LL.D., Sc.D., F.R.S., 

 Astor Profess*or of Mathematics in the Ulkiversity of London. 

 Pp. 5. Price 1/-. 



The Character of the Kinetic Potential in Elec- 

 tromagnetics. By R. Hargreaves, M.A. Pp. 24. 

 Price 2/-. 



The Field and the Cordon of a Plane Set of 

 Points. An Essay in Proving the Obvious. By Eric H. 

 Neville. Pp. 43. Price 3/6. 



On certain Trigonometrical Sums and their Ap- 

 plications in the Theory of Numbers. By S. 



Ramanujan, B.A., F. R.S., Trinity College. Pp. 18. Price 2/-. 



Asymptotic Expansions of Hypergeometric Func- 

 tions. By G. N. Watson, Sc.D., Trinity College. Pp. 32. 

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Asymptotic Satellites near the Equilateral Tri- 

 angle Equilibrium Points in the Problem of 

 Three Bodies. By Daniel Buchanan, M.A., Ph.D., 

 Queen's University, Kingston, Canada. Pp. 32. Price S/6. 



Terrestrial Magnetic Variations and their Con- 

 nection with Solar Emissions which are Ab- 

 sorbed in the Earth's Outer Atmosphere. By 



S. Chapman, M.A., Sc.D., F.R.S., Trinity College. Pp. 19. 

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On the Representations of a Number as a Sum of 

 an Odd Number of Squares. By L. J. Mordell, 

 M.A. (Cantab.), Birkbeck College, London. Pp. 12. Price 2/-. 



The Hydrodynamical Theory of the Lubrication 

 of a Cylindrical Bearing under Variable Load^ 

 and of a Pivot Bearing. By W. J. Harrison, M.A., 

 Fellow of Clare College, Cambridge. Pp. 16. Price 2/6. 



On Integers which satisfy the Equation 



(3 J_ :c^ ± ^3 J_ g3 ^ 0. 



By H. W. Richmond, M.A., King's College. Pp. 15. Price 2/6. 



„ XX and XXL On Cyclical Octosection. By W. Burnside, M.A., 

 F.R.S., Hon. Fellow of Pembroke College, Cambridge. 



Congruences with respect to Composite Moduli. 



By Major P. A. MacMahon, R.A., F.R.S. Pp. 20. Price 3/-. 



„ XXII. On the Stability of the Steady Motion of Viscous 

 Liquid contained between two Rotating Co- 

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 Harrison, M.A., Fellow of Clare College, Cambridge. 

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„ XIX. 



