yi CONTENTS. 



Page 



James Heywood, M.A., F.E.S.,Dt.Lee, F.B.S., Dr. Leone Levi, F.S.A., 

 F.S.S., Prof. W. A. Miller, F.E.S., Prof. Eankine, F.E.S., Eev.Dr. 

 Eobinson, F.E.S., Colonel Sykes, M.P., F.E.S., W. Tite, M.P., F.E.S., 

 Prof. A. W. Williamson, F.B.S., James Yates, F.B.S., Sir Eobeet 

 Kane, F.E.S., F. P. Fellows, C. W. Siemens, F.E.S., Matthew Arnold, 

 M.A., Eight Hon. Earl Fortescue, and Frederick Pttrdy, F.S.S. . . 375 



On the Bed of the Ocean. By A. G. Findlay, F.E.G.S. . . .' 379 



On the Composition of the Gases evolved by the Bath spring called King's 

 Bath. By Prof. A. W. "Williamson, University College, London . . 380 



NOTICES AND ABSTRACTS 



OF 



MISCELLANEOUS COMMUNICATIONS TO THE SECTIONS. 



MATHEMATICS and PHYSICS. 



Address of W. Spottiswoode, F.R.S., President of the Section 1 



Mathematics. 



Mr. O. Byrne on Dual Arithmetic (i 



Professor A. H. Curtis on certain Theorems in Laplace's Discussion of the 



Figure of the Earth and Precession and Nutation 6 



Rev. R. Harley on the Theory of Differential Eesol vents G 



Professor T. A. Hirst on Chasles's Method of Characteristics 6 



on Quadric Transformation 



Dr. C. M. Ingleby on a Method of discovering Remainders in Arithmetical 



Division 7 



Professor Plucker on a New Method in Geometry 7 



Professor Price on the Extension of Taylor's Theorem by the Method of De- 

 rivations 7 



on some Applications of the Theory of Probabilities 7 



