Page:Proceedings of the Royal Society of London Vol 69.djvu/157

Rh dormant a ces fonctions sous le signe f, soit toujours la premiere forme, soit toujours la seconde. En ope'rant de la sorte on commet une erreur sur chacune des integrates, mais ces erreurs se compensent complete- ment dans la somme des inte'grales.

Je me suis attache 1 ensuite a ecrire 1'inegalite qui exprime la condi- tion de stabilite", et a re'duire aux integrates elliptiques les plus simples toutes les inte'grales qui figurent dans cette inegalite'.

Sir WILLIAM HUGGINS, K.C.B., D.C.L., President, in the Chair.

Mr. F. W. Dyson, Lieutenant-Colonel David Bruce, R.A.M.C. (elected 1899), and Mr. A. Smith Woodward were admitted into the Society.

A List of the Presents received was laid on the table, and thanks ordered for them.

In pursuance of the Statutes, notice of the ensuing Anniversary Meeting was given from the Chair.

Major MacMahon, Dr. W. J. Russell, and Dr. A. D. Waller were by ballot elected Auditors of the Treasurer's accounts on the part of the Society.

The following Papers, received during the Recess, and published in full or in abstract, in accordance with the Standing Orders of Council, were read in title :

"The Anatomy and Development of the Stem in the Pteridophyta and Gymnosperms." By EDWARD C. JEFFREY, Ph.D., Lecturer in the University of Toronto. Communicated by D. H. SCOTT, F.R.S.

" A Memoir on Integral Functions." By E. W. BARNES, M.A., Fellow of Trinity College, Cambridge. Communicated by Professor A. R. FORSYTH, Sc.D., F.R.S.

" On Areal Induction." By GEORGE J. BURCH, M.A., F.R.S.

" Further Observations on Nova Persei. No. 4." By Sir NORMAN LOCKYER, K.C.B., F.R.S.

" An Attempt to ascertain the Date of the Original Construction of Stonehenge from its Orientation." By Sir NORMAN LOCKYER, K.C.B., F.R.S., and F. C. PENROSE, F.R.S.