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Page 1: PROCEEDINGS€¦ · proceedings of the royal society of london series a containing papers of a mathematical and physical character. vol. g london: printed for the royal society and
Page 2: PROCEEDINGS€¦ · proceedings of the royal society of london series a containing papers of a mathematical and physical character. vol. g london: printed for the royal society and

P R O C E E D I N G S

OF THE

ROYAL SOCIETY OF LONDON

Series A

CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER.

VOL. G

L O N D O N :

P rinted for THE ROYAL SOCIETY and Sold by

HARRISON AND SONS, Ltd., ST. MARTIN’S LANE,. PRINTERS in ordinary to h is m a jesty .

March, 1922.

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LONDON :

HARRISON AND SONS, LTD., PRINTERS IN ORDINARY TO HIS MAJESTY,

ST. MARTIN^ LANE.

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C O N T E N T S----------------

SERIES A. VOL. C.PAGEi

Minutes of Meetings, November 3, 1021—February 23, 1922 .................................. i

No. A 702.—October 4, 1921.

On the Velocity of Sound in Gases at High Temperatures, and the Ratio of the Specific Heats. By Harold B. Dixon, C.B.E., F.R.S., Colin Campbell, D.Sc., and A. Parker, D.Sc....................................................................................................... 1

The Ratio of the Specific Heats of Air and of Carbon Dioxide. By J . R.Partington, D.Sc. Communicated by Dr. J . A. Harker, F.R.S............................ 27

On the Currents induced in a Conductor by the Passage of a Mass of Magnetic Material over it. By E. S. Bieler, M.Sc., 1851 Scholar of McGill University. Communicated by Sir E. Rutherford, F.R.S. (Plate 1 ) ............. ................ 1.......... 50

On some New Formuke for the Numerical Calculation of the Mutual Induction of Coaxial Circles. By Louis V. King, D.Sc., Macdonald Professor of Physics, McGill University, Montreal. Communicated by Prof. A. S. Eve, F.R.S......... 60

Gaseous Combustion at High Pressures. Part II.—The Explosion of Hydrogen-Air and Carbon Monoxide-Air Mixtures. By William A rthur Bone, D.Sc., Ph.D., F.R.S.,'and the late William Arthur Haward, M.Sc., Salters’Research Fellow... 67

On the Spectra of Lead Isotopes. By T. R. Merton, F.R.S......................................... 84

The Adsorption of Gas by Charcoal, Silica, and other Substances. By Henry Briggs, D.Sc., Ph.D., Professor of Mining, Heriot-Watt College, Edinburgh. Communicated by Prof. J. F. Thorpe, F.R.S............................................................ 88

On the Transmission Colours of Sulphur Suspensions. By C. V. Raman, M.A.,Palit Professor of Physics, and Bidhubliusan Ray, M.Sc., Lecturer in Optics, Calcutta University. Communicated by Dr. G. C. Simpson, F.R.S.................... 102

The Photographic Efficiency of Heterogeneous Light. By F. C. Toy, M.Sc.,A.Inst.P. Communicated by Prof. A. W. Porter, F.R.S....................................... 109

No. A 703.—November 1, 1921.Experiments with Rotating Fluids. By G. I. Taylor, F.R.S. (Plate 2) ................... 11

On certain Geological Effects of the Cooling of the Earth. By Harold Jeffreys,M.A., D.Sc., Fellow of St. John’s College, Cambridge. Communicated by Dr. G. C. Simpson, F.R.S............................................................................................ 122

On the Absorption of Light by Electrically Luminescent Mercury Vapour. ByE. P. Metcalfe and B. Venkatesachar. Communicated by Prof. A. W. Porter,F. R.S. (Plate 3) ................................................................................................... 149

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Revision of Series in the Arc Spectrum of Mercury. By Herbert Dingle, D.I.C., A.R.C.Sc., B.Sc., Demonstrator of Astrophysics, Imperial College of Science and Technology. Communicated by Prof. A. Fowler, F.R.S. (Plates 4 and 5) 167

The Spectrum of Ionised Potassium. By J . C. McLennan, F.R.S., Professor ofPhysics, University of Toronto. (Plate 6 ) ............................................................. 182

On the Refractive Indices of Mercury and Thallium Vapours. By J. C. McLennan,F.R.S., Professor of Physics, University of Toronto............................................. 191

On the Emission and Absorption Spectra of Mercury. By Prof. J . C. McLennan,F.R.S., and W. W. Shaver, M.A., University of Toronto. (Plate 7).................. 200

On the Structure of the Balmer Series Lines of Hydrogen. By J. C. McLennan,F.R.S., Professor of Physics, and P. Lowe, M.A., Univei’sity of Toronto. (Plate 8) 217

>No. A 704.—December 1, 1921.

A Problem in the Theory of Heat Conduction. By J. W. Nicholson, F.R.S............A Study of Catalytic Actions at Solid Surfaces. Part V II.—The Influence of

Pressure on the Rate of Hydrogenation of Liquids in Presence of Nickel.By E. F. Armstrong, D.Sc., F.R.S., and T. P. Hilditch, D.Sc...............................

On “ Light Body” Hydrophones and the Directional Properties of Microphones.By A. B. Wood, D.Sc., F.Inst.P., and F. B. Young, B.A., D.Sc., F.Inst.P. Communicated by Sir W. Bragg, F.R.S....................................................................

On the Acoustic Disturbances produced by Small Bodies in Plane Waves trans­mitted through Water, with special Reference to the Single-plate Direction Finder. By A. B. Wood, D.Sc., F.Inst.P., and F. B. Young, B.A., D.Sc.,F.Inst. P. Communicated by Sir W. Bragg, F .R .S .............................................. 261

The Principles of Internal Ballistics. By J . Proudman, University of Liverpool.Communicated by H. Lamb, F .R S....... ................................................................... 289

The Harmonic Development of the Tide-generating Potential. By A. T. Doodson,D.Sc., Tidal Institute, the University of Liverpool. Communicated by Prof.H. Lamb, F.R.S........................................................................................................... 305

The Production of Single Crystals of Aluminium and their Tensile Properties.By H. C. H. Carpenter, F.R.S., Professor of Metallurgy, Royal School of Mines, and Constance F. Elam. (Plates 9-12).................................................................... 329

No. A 705.—January 2, 1922.Address of the President, Prof. C. S. Sherrington, at the Anniversaiy Meeting,

November 30, 1921 .............. .................................................................................... 353

The Aurora Line in the Spectrum of the Night Sky. By Loxd Rayleigh, F.R.S— 367

The Thermal Stresses in Spherical Shells Concentrically Heated. By Charles H.Lees, D.Sc., F.R.S..................................................................... .................................. 379

The Two-dimensional Slow Motion of Viscous Fluids. By L. Bairstow, F.R.S. Professor of Aerodynamics, Imperial College of Science and Technology, Miss B. M. Cave, and Miss E. D, Lang, M.A................ .................................................. 394

226

240

252

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The Law of Distribution of Particles in Colloidal Solution. By E. F. Burton, Associate Professor of Physics, and Miss E. Bishop, M.A., Department of Physics, University of Toronto. Communicated by Prof. J . C. McLennan,F.R.S................................................................................................................................ 414

A New Form of Interferometer. By H. P. War an, M. A. (Madras), Government of f India Scholar of the University of Madras. Communicated by Prof. H. F.

Newall, F.R.S................................................................................................................. 419On the Whispering-Gallery Phenomenon. By C. V. Raman, M.A., Palit Professor

of Physics in the Calcutta University, and G. A. Sutherland, M.A., Assistant Lecturer in Physics, University College, London. Communicated by Prof.A. W. Porter, F.R.S..................................................................................................... 424

On the Viscosities of the Hydrogen Halides. By H. Harle, A.R.C.S., B.Sc., D.I.C., Demonstrator in Physics, Imperial College of Science and Technology. Communicated by Prof. H. L. Callendar, F.R.S....................................................... 429

On the Numerical Solution of Linear Integral Equations. By H. Bateman.Communicated by Prof. E. T. W hittaker, F.R.S...................................................... 441

No. A 706.—February 1, 1922.

The Atomic Process in Ferro-magnetic Induction. By Sir J . Alfred Ewing,K.C.B., F.R.S.................................................................................................................. 449

A Contribution to the Thermodynamical Theory of Explosions.—Parts I and II.By Sir J. B. Henderson, D.Sc., and Prof. H. R. Hasse, D.Sc. Communicated by Sir J. A. Ewing, F.R.S................................................................................................. 461

The Specific Heats of Air, Steam, and Carbon Dioxide. By W. D. Womersley, M.A., B.Sc., Demonstrator in Mechanism and Applied Mechanics in the University of Cambridge. Communicated by Sir Dugald Clerk, F .R .S ............ 483

The Effect of Shallow Water on Wave Resistance. By T. H. Havelock, F.R.S. ... 499The Diffraction of Plane Electromagnetic Waves by a Perfectly Reflecting Sphere.

By F. Puryer White, M.A., Fellow of St. John’s College, Cambridge. Com­municated by Dr. T. J . I ’A. Bromwich, F.R.S......................................................... 505

On the Scattering of /3-Ravs. By J . A. Crowther, Sc.D., F.Inst.P., University Lecturer in Physics as applied to Medical Radiology, Cambridge, and B. F. J. Schonland, O.B.E., B.A., George Green Student of Gonville and Caius College, Cambridge. Communicated by Prof. Sir E. Rutherford, F.R.S........................... 526

No. A 707.—March 1, 1922.Boundary Lubrication.—The Paraffin Series. By W. B. Hardy, Sec. R.S., and Ida

Doubleday ....................... ........................................ ................................................ 550

The Influence of Temperature on Two Alternative Modes of Decomposition of Formic Acid. By C. N. Hinshelwood, B.A., Fellow of Trinity College, Oxford,H. Hartley, M.A., Fellow of Balliol College, and B. Topley, Scholar of Trinity College, Oxford. Communicated by Prof. J. W. Nicholson, F.R.S...................... 575

Researches on the Chemistry of Coal. Part II .—The Resinic Constituents and Coking Propensities of Coals. By William A. Bone, D.Sc., F.R.S., A. R. Pearson, M.Sc., LL.B., E. Sinkinson, B.Sc., D.I.C., and W. E. Stockings, M.Sc.... 582

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PAG®:

The Minimum Electron Energies Associated with the Excitation of the Spectra ofHelium. By Ann Catherine Davies, M.Sc., Assistant Lecturer in Physics,Royal Holloway College, Englefield Green. Communicated by Prof. Sir E. Rutherford, E.R.S. (Plate 13)............................................................................ 599'

Atmospheric Pressure and Refractive Indices, with a Corresponding Table of Indices of Optical Glass. By Lieut.-Colonel J. W. Gifford, F.R.A.S. Communicated by Sir Joseph Petavel, F.R.S............................................................*........................ 621

Obituary Notices of Fellows Deceased :—William Odling (with portrait) ................................. iAlexander Muirhead ................................................................................................. viii

Index .................................................................................................................................. xiErratum ............................................................................................ xiv

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MINUTES OF MEETINGS.—SESSION 1921-22.

November 3, 1921.

Prof. C. S. SHERRINGTON, President, in the Chair.

The following papers were read :—I. “ On the Spectra of Lead Isotopes.” By T. R. Merton, F.R.S.

II. “ Experiments with Rotating Fluids.” By G. I. Taylor, F.R.S.

III. “ The Two-dimensional Slow Motion of Viscous Fluids.” ByL. Bairstow, F.R.S., Miss B. M. Cave, and Miss E. D. Lang.

IV. “ The Production of Single Crystals of Aluminium and theirTensile Properties.” By H. C. Carpenter, F.R.S., and Constance E lam.

V. “ On the Transmission Colours of Sulphur Suspensions.” By C. V. Raman and B. Ray. Communicated by Dr. G. C, Simpson, F.R.S.

VI. “ The Law of Distribution of Particles in Colloidal Solution.” By E. F. Burton and Miss E. B ishop. Communicated by Prof. J. C. McLennan, F.R.S.

November 10, 1921.

Prof. C. S. SHERRINGTON, President, in the Chair.

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

The following papers were read :—

I. “ Experimental Researches on Vegetable Assimilation and Respiration. XIV.— Assimilation by Submerged Water Plants in Dilute Solutions of Bicarbonates and of Acids : an improved Bubble-counting Technique.” By A. J. W ilmott. Communicated by Dr. F. F. Blackman, F.R.S.

II. “ The Coagulation of Protein by Sunlight.” By E. G. Young. Communicated by Prof. F. G. H opkins, F.R.S.

III. “ On the Optical Rotatory Power of Crystalline Ovalbumin and Serum Albumin.” By E. G. Young. Communicated by Prof. F. G. Hopkins, F.R.S.

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IY. “ On the Longevity of certain Species of Yeast.” By A. R. Ling and D. R. Na nji. Communicated by Sir E. Thorpe,F. R.S.

V. “ A Quantitative Analysis of the Growth of IlelianthnsPart I.—The Respiration of the Plant and of its Parts throughout the Life Cycle.” By F. K idd, C. West, andG. E. Briggs. Communicated by Dr. F. F. Blackman, F.R.S.

VI. “ The Colouring Matter of Red Roses.” By G. S. Currey. Communicated by Prof. F. Keeble, F.R.S.

November 17, 1921.

Prof. C. S. SHERRINGTON, President, in the Chair.In pursuance of the Statutes, notice of the ensuing Anniversary

Meeting was given from the Chair.The following papers were read :—

I. “ The Design of Repeating Patterns.” * By Major P. A.MacMahon, F.R.S. and W. P. D. MacMahon.

II. “ A Problem in the Theory of Heat Conduction.” By J. W.N icholson, F.R.S.

III. “ The Thermal Stresses in Spherical Shells ConcentricallyHeated.” By C. H. Lees, F.R.S.

IV. “ On the Mathematical Foundations of Theoretical Statistics.”By R. A. F tsher. Communicated by Dr. E. J. Russell, F.R.S.

V. “ The Diffraction of Plane Electromagnetic Waves by a Perfectly Reflecting Sphere. ’ By F. P. W h ite . Com­municated by Dr. T. J. I’A. Bromwich, F.R.S.

VI. “ On the Whispering Gallery Phenomenon.” By C. V. Raman and G. A. Sutherland. Communicated by Prof. A. W. Porter, F.R.S.

November 24, 1921.

Prof. C. S. SHERRINGTON, President, in the Chair.A Special General Meeting of the Society was held to receive the

Annual Report of the Council.

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November 24, 1921.

Prof. C. S. SHERRINGTON, President, in the Chair.In pursuance of the Statutes, notice of the ensuing Anniversary

Meeting was given from the Chair, and the List of Officers and Council nominated for election was read as follows:—

President.—Prof. Charles Scott Sherrington, M.D., Sc.D.

Treasurer.—Sir David Prain, C.M.G., C.I.E.

o i ■ f William Bate Hardy, M.A.Secretaries.— < T TT , T J, r . L James Hopwood Jeans, M.A.

Foreign Secretary.—Sir Arthur Schuster, Sc.D.Other Members of the Council.—Sir Frederick William Andrewes,

M.D.; Prof. Vernon Herbert Blackman, Sc.D.; Sir William Henry Bragg, K.B.E., D.Sc.; Prof. Arthur William Crossley, C.M.G., D.Sc.; Dr. Henry Hallett Dale, C.B.E.; Prof. Arthur Stanley Eddington, M.A.; Prof. Alfred Fowler ; Prof. Arthur Harden, D.Sc.; Prof. John Graham Kerr, M.A.; Prof. Horace Lamb, Sc.D.; Sir William Boog Leishman, K.C.M.G., C.B., M.B.; Sir Gerald Ponsonby Lenox-Conyngham, R.E.; The Lord Rayleigh, Sc.D.; Prof. Owen Willans Richardson, D.Sc.; Sir Aubrey Strahan, K.B.E., Sc.D. ; Prof. James Thomas Wilson, M.B.

The following Papers were read:—

I. “ Observations on Reflex Responses to the Rhythmical Stimula­tion in the Frog.” By K. Sassa. Communicated by Prof. C. S. Sherrington, F.R.S.

II. “ On the Effects of Constant Galvanic Currents upon theMammalian Nerve-Muscle and Reflex Preparations.” By K. Sassa. Communicated by Prof. C. S. Sherrington, F.R.S.

III. “ The Hsemoly tic Action of Sodium Glycocholate.” By E. P onder. Communicated by Sir E. Sharpey Schafer, F.R.S.

I \ . “ The Titration Curve of Gelatine.” By Dorothy J. Lloyd and C. Mayes. Communicated by Prof. F. G. Hopkins, F.R.S.

\ . “ ldio-Ventricular Periodicity.” By H. de Souza and J. A. Hewitt. Communicated by Prof. W. D. Halliburton, F.R.S.

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• November 30, 1921.

Anniversary Meeting.

Prof. C. S. SHERRINGTON, President, in the Chair.

The Report of the Auditors of the Treasurer’s accounts was read, and the thanks of the Society were given to the Treasurer and to the Auditors.

The List of Fellows deceased and the List of Fellows elected into the Society since the last Anniversary were read.

The Report to the Society from the Council, upon the work during the past year, was, upon the motion of the President, received.

The President delivered his Anniversary Address. On the motion of Sir W. Leishman, seconded by Prof. Graham Kerr, the thanks of the Society were voted to the President for his Address, and he was requested to allow it to be printed.

The Awards of the Medals for the year were announced as follows, and the Medals were presented from the Chair:—

The Copley Medal................. To Sir Joseph Larmor.A Royal Medal ...................... „ Dr. F. F. Blackman.A Royal Medal ...................... ,, Sir Frank W. Dyson.The Davy Medal .................. „ Prof. P. A. Guye.The Hughes Medal .............. „ Prof. Niels Bohr.

The President having, with the consent of the Society, nominated Dr. S. Martin and Mr. J. H. Parsons as Scrutators to examine the balloting lists for the election of Council and Officers, the votes of the Fellows present were taken.

The Scrutators reported that the Council and Officers nominatedat the preceding meeting had been duly elected.

%

The thanks of the Society were given to the Scrutators.

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December 8, 1921.

Prof. C. S. SHERRINGTON, President, in the Chair.

The following Papers were read:—

J. “ A Stud}7 of the Glow of Phosphorus, Periodic Luminosity and Action of Inhibiting Substances.” By Lord Rayleigh, F.R.S.

II. “ The Aurora Line in the Spectrum of the Night Sky.” By LordRayleigh, F.R.S.

III. “ A Study of Catalytic Actions at Solid Surfaces. VII.— TheInfluence of Pressure on the Rate of Hydrogenation of Liquids in Presence of Nickel.” By E. F. Armstrong, F.R.S.,. and T. P. H ilditcii.

IV. “ The Energy in Air, Steam and Carbon Dioxide.” By W. D.Womersley. Communicated by Sir D ugald Clerk, F.R.S.

Y. “ Atmospheric Pressure and Refractive Indices, with a Corre­sponding Table of Indices of Optical Glass.” By Lieut.-Col. J. W. Gifford. Communicated by Sir J. P etavel, F.R.S.

YI. “ A New Form of Interferometer.” By H. P. Waran. Com­municated by Prof. H. F. Newall, F.R.S.

VII. “ On the Viscosities of the Hydrogen Halides.” By II. Harle. Communicated by Prof. II. L. Callendar, F.R.S.

The Society adjourned over the Christmas Recess to Thursday, January 19, 1922.

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January 19, 192-2.

Sir CHARLES SHERRINGTON, President, in the Chair.

In pursuance of the Statutes the names of the Candidates proposed for election into the Society were read, as follows

Abell, Sir Westcott Stile.Adrian, Edgar Douglas.Allen, Herbert Stanley.Anderson, Alexander.Annandale, Nelson.Ashley, Sir William.Atkins, William Ringrose Gelston. Bacot, Arthur William.Balfour, Andrew.Balls, William Lawrence.Beattie, James Martin.Bedson, Peter Phillips.Bond, Charles John.Borradaile, Lancelot Alexander. Brown, Thomas Graham.Browning, Carl Hamilton.Bryce, Thomas Hastie.Bury, Henry.Cheeseman, Thomas F.Cole, Frank Joseph.Darwin, Charles Galton.Davidson, Charles Rundle.Denny, Sir Archibald.Desch, Cecil H.Douglas, Claude Gordon.Douglas, Stewart Rankin.Dreyer, John L. E.Duerden, James Edwin. Edgeworth, Francis Henry. Edridge-Green, Frederick William. Eltringham, Harry.Evans, C. Lovatt.Ewart, Alfred James.Farmer, Robert Crosbie.Fawcett, Edward.Flack, Martin William.Francis, Francis Ernest.Freeth, Francis Arthur.Gardner, John Addyman.Gordon, Mervyn Henry.

Griffiths, Ezer.Groom, Percy.Gunn, James Andrew.Harmer, Frederic William. Hartley, Harold.Henderson, Sir James B.Herring, Percy Theodore.Hill, Thomas George.Hilton, Harold.Horton, Frank.Houston, Alexander Cruikshank. Howe, George William 0.Hoyle, William Evans.Hurst, Harold Edwin. Hutchinson, Arthur.Imms, Augustus Daniel.Jeffrey, Edward Charles. •Jehu, Thomas John.Johnstone, James.Jones, Frederic Wood.King, Louis Yessot.Lake, Philip.Lanchester, Frederick William. Lawson, Abercrombie Anstruther. Leiper, Robert Thomson.Locke, Frank Spiller.McCarrison, Robert.MacLeod, John J. Rickard.Mallik, Devendra Nath.Marshall, Guy Anstruther Knox. Maw, William Henry.Mawson, Sir Douglas.Mellanby, Edward.Mellor, Joseph William.Mercer, James.Mills, William Hobson.Milner, Samuel Roslington. Milroy, Thomas Hugh.Mummery, J. Howard.Newton, Richard Bullen.

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February 2, 1922.

Sir CHARLES SHERRINGTON, President, in the Chair.

The following Papers were read :—I. “ On the Oxidation Processes of the Echinoderm Egg during

Fertilisation.” By C. Shearer, F.R.S.

II. “ The Breeding Places of the Eel.” By J. Schmidt. Com­municated by C. T. Regan, F.R.S.

III. “ The Mechanism of Ciliary Movement. Parts I and II.” By J. Gray. Communicated by Prof. J. S. Gardiner, F.R.S.

IY. “ Experiments on Amphibian Metamorphosis and Pigment Responses in Relation to Internal Secretions.” By J. S. H uxley and L. T. H ogben. Communicated by Prof. E. W. MacBride, F.R.S.

February 9, 1922.

Sir CHARLES SHERRINGTON, President, in the Chair.The following Papers were read:—I. “ The Atomic Process in Ferromagnetic Induction.” By Sir

J. A. Ewing, F.R.S.

II. “ Boundary Lubrication.—The Paraffin Series.” By W. B. H ardy, Sec. R.S., and Ida Doubleday.

III. “ Problems Relating to a Thin Plane Annulus.” By Prof. J. W. N icholson, F.R.S.

IV. “ The Effect of Shallow Water on Wave Resistance.” By Prof. T. H. Havelock, F.R.S.

Y. “ The Aerodyna mics of a Spinning Shell.—Part II.” By R. H. F owler and S. N. H. Lock. Communicated by Prof. H. W. R ichmond, F.R.S.

YI. “ The Kinetic Theory of a Special Type of Rigid Molecule.” By F. P. P idduck. Communicated by Prof. A. E. H. Love, F.R.S.

VII. “ On the Velocity Distribution Function and on the Stresses in a Non-uniform Rarefied Monatomic Gas.” By J. E. J ones. Communicated by Prof. S. Chapman, F.R.S.

VIII. “ Onthe Numerical Solution of Linear Integral Equations.” By H. Bateman. Communicated by Prof. E. T. Whittaker, F.R.S.

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February 16, 1922.Sir CHARLES SHERRINGTON, President, in the Chair.

The following Papers were read:—-I. “ On the Heating and Cooling of the Body by Local Application

of Heat and Cold.” By Prof. L. H ill, F.R.S., D. H. Ash, and J. A. Campbell.

II. “ Relationships between Antiseptic Action and Chemical Con­stitution, with Special Reference to Compounds of the Pyridine, Quinoline, Acridine, and Phenazene Series.” By Prof. J. B. Cohen, F.R.S., C. H. Browning, R. Gaunt, and R. Gulbransen.

III. “ Active Hypersemia.” By D. T. Harris. Communicated by Prof. W. M. Bayliss, F.R.S.

IY. “ The Depressor Nerve of the Rabbit.” By B, B. Sarkar. Communicated by Sir E. Sharpey Schafer, F.R.S.

Y. “ On the Hypertrophy of the Interstitial Cells in the Testicle of the Guinea-Pig under Different Experimental Conditions.” By Prof. A. Lipschutz, B. Ottow, C. W agner, and F. Bormann. Communicated by Dr. F. H. ̂A. Marshall,

• F.R.S.

February 23, 1922.Sir CHARLES SHERRINGTON, President, in the Chair.

In pursuance of the Statutes, the names of the Candidates recommended for election into the Society were read from the Chair as follows :—

Bryce, T. H. Darwin, C. G. Douglas, C. G. Douglas, S. R. Ewart, A. J. Hutchinson, A. Lanchester, F. W.

Mercer, J.Milner, S. R. Pembrey, M. S. Pyman, F. L. Schott, G. A. Sidgwick, N. Y. Watson, D. M. S.

Yarrow, Sir Alfred.

The following Papers were read :—I. “ /S-Ray Spectra and their Meaning.” By C. D. Ellis. Com­

municated by Sir E. Rutherford, F.R.S.II. “ A Study of the Balance.” By Prof. A. E. Conrady. Com­

municated by Mr. C. Y. Boys, F.R.S.

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III. “ Suspended Impurity in the Air.” By J. S. Owens, M.D.Communicated by Sir Napier Shaw, F.R.S.

IV. “ On the Free Transverse Vibrations of a Uniform CircularDisc Clamped at its Centre.; and on the Effects of Rotation.” By R. V. Southwell. Communicated by Prof. H. Lamb, F.R.S.

V. “ Magnetism and Atomic Structure. II.—The Constitution ofthe Hydrogen-Palladium System and other Similar Systems.” By A. E. Oxley. Communicated by Prof. A. W. P orter, F.R.S.

VI. “ Fourier’s Series and Analytic Functions.” By T. Carlemanand Prof. G. H. Hardy, F.R.S.

VII. “ Multenions and Differential Invariants.—II and III.” By Prof. A. McAulay. Communicated by Mr. W. B. Hardy, Sec.RS.