Memoirs presented to the Cambridge philosophical society on the occasion of the jubilee of Sir George Gabriel Stokes, bart., Hon. LL. D., Hon. SC. D., Lucasian professor.

CONTENTS.
PAGE
Order of Proceedings at the formal celebration by the University of Cambridge of
the Jubilee of Sir GEORGE GABRIEL STOKES, Bart., Lucasian Professor 1849-1899 vii
The Rede Lecture: La théorie des ondes lumineuses: son influence sur la physique
m oderne. By A LFRED CORNU.................................................................... xvii
I. On the analytical representation of a uniform branch of a monogenic function.
By G. MITTAG-LEFFLER................................................................... 1
II. Application oj the Partition Analysis to the study of the properties of any system
of Consecutive Integers. By Major P. A. MACMAHON, R.A., D.Sc., F.R.S., Hon.
M em. C.P.S...................................................... 12
III. On the Integrals of Systems of Differential Equations. By A. R. FORSYTIH, Sc.D.,
F.R.S., Sadierian Professor of Pure Mathematics......................................... 35
IV. Ueber die Bedeutung der Constante b des van der Waals'schen Gesetzes. Von L.
BOLTZMANN und Dr M ACHE, in W ien........................................................ 91
V. On the Solution of a Pair of Simultaneous Linear Differential Equations, which
occur in the Lunar Theory. By ERNEST W. BROWN, Sc.D., F.R.S., Professor of
Mathematics at Haverford College, Philadelphia.......................................... 94
VI.. The Periodogram of iIagnetic Declination as obtained from the records of the
Greenwich Observatory during the years 1871-1895 (Plates I, II). By ARTHUR
SCIIUSTER, F.R.S., Professor of Physics at the Owens College, Manchester......... 107
VII. Experiments on the Oscillatory Discharge of an Air Condenser, with a Determination of "v." By OLIVER J. LODGS, D.Sc., F.R.S., Professor of Experimental
Physics, University College, Liverpool, and R. T. GLAZEBROOK, M.A., F.R.S.,
Director of the National Physical Laboratory............................................. 136
VIII. The Geometry of Kepler and Newton. By Dr C. TAYLOR, Master of St John's
C ollege........................................197
IX. Sur les Groupes Continus. Par' H. POINCARÉ................................................ 220
X. Contact Transformations and Optics. By E. O. LOVETT.................................... 256
XI. On a Class of Groups of Finite Order. By W. BURNSIDE, M.A., F.R.S., Professor
of Mathematics, Royal Naval College, Greenwich.......................................... 269
XII. On Green's Fuinction jor a Circular Disc, with applications to Electrostatic Problems.
By E. W. HOBsoN, Sc.D., F.R.S., Fellow of Christ's College........................... 277
VOL. XVIII. b