764 



SCIENCE. 



[N. S. Vol. XII. No. 307. 



ture, and the number contains the Index to Vol- 

 ume XVII. It is noted that hereafter The Auk 

 will be published by Edward W. "Wheeler, 30 

 Boylston Street, Cambridge, Mass. 



The October number (Volume 7, No. 1) of the 

 Bulletin of the American Mathematical Society con- 

 tains the following articles : Report of the re- 

 cent summer meeting of the Society, by the 

 Secretary ; ' The Undergraduate Mathematical 

 Curriculum,' report of the discussion at the 

 Summer Meeting, by Professor W. H. Malt- 

 bie ; ' On a Memoir by Ricardo de Paolis,' by 

 Professor Charlotte Angas Scott; 'Notes'; 

 and ' New Publications.' The November num- 

 ber of the Bulletin contains . ' The Interna- 

 tional Congress of Mathematicians in Paris,' 

 report by Professor Charlotte Angas Scott ; 

 ' The Forty-ninth Annual Meeting of the Amer- 

 ican Association for the Advancement of Sci- 

 ence,' report of the meeting of Section A, by 

 Dr. G. A. Miller ; ' Note on Geometry of 

 Four Dimensions,' by Professor E. O. Lovett ; 

 'Notes'; and ' New Publications.' 



The October (closing) number of Volume 1 of 

 the Transactions of the American Mathematical 

 Society contains the following papers : ' On Sur- 

 faces enveloped bySpheresbelongingtoaLinear 

 Spherical Complex,' by P. F. Smith ; ' On Cer- 

 tain Relations among the Theta Constants,' by 

 J. I. Hutchinson ; ' On the Groups which have 

 the same Group of Isomorphisms,' by G. A. 

 Miller; 'Die Hesse'sche und die Cayley'sche 

 Curve,' by P. Gordan ; 'Application of a 

 Method of D'Alembert to the Proof of Sturm's 

 Theorems of Comparison,' by M. B6cher; ' Two 

 Plane Movements Generating Quartic Scrolls,' 

 by E. M. Blake ; ' The Invariant Theory of the 

 Inversion Group : Geometry upon a Quadric 

 Surface, ' by E. Kasner ; ' A Simple Proof of 

 the Fundamental Cauchy-Goursat Theorem,' 

 byE. H. Moore; 'Notes and Errata,' Volume I. 



Cambridge University press will begin on 

 the first of January next the publication of a 

 quarterly Journal of Hygiene, to be edited by 

 Dr. G. H. F. Nuttall, Lecturer in Bacteriology 

 and Preventive Medicine in the University of 

 Cambridge, Dr. John Haldane, F.R.S., Lec- 

 turer in Physiology in the University of Oxford, 

 and Dr. Arthur Newsholme,M. O. H., Brighton. 



SOCIETIES AND ACADE3IIES. 

 AMERICAI^ MATHEMATICAL SOCIETY. 



A REGULAR meeting of the American Mathe- 

 matical Society was held at Columbia Univer- 

 sity, New York City, on Saturday, October 27, 

 1900. Professor Thomas S. Fiske, Vice-Presi- 

 dent of the Society, occupied the chair during 

 the two sessions. The total attendance amounted 

 to thirty- two, including twenty -five members 

 of the Society. 



The Council announced the election of the 

 following persons to membership in the Society : 

 Professor George L. Brown, South Dakota 

 Agricultural College, Brookings, So. Dak. ; Mr. 

 Charles H. Davis, New York, N. Y. ; Dr. 

 Derrick N. Lehmer, University of California, 

 Berkeley, Cal. ; Miss Ida M. Schottenfels, Chi- 

 cago, III. ; Professor Frank D. Sherman, Co- 

 lumbia University, New York, N. Y. ; Mr. 

 Burke Smith, Northwestern University, Evans- 

 ton, 111. Twenty-five applications for admis- 

 sion to membership were received. 



In response to the invitation of Cornell Uni- 

 versity the Summer Meeting and Colloquium of 

 the Society will be held at Ithaca, August, 1901. 



The following papers were presented at the 

 October meeting : 



(1) Peofessoe Maxime BocHEE : 'On linear de- 

 pendence of functions of one variable.' 



(2) Professor David Hilbeet : ' Ueber Fliiehen 

 von constanter Gauss'scher Kriimmung. ' 



(3) Professor E. O. Lovett: 'Three notes on 

 the geometry of contact transformations.' 



(4) Dr. G. a. Miller : ' On a theorem in substi- 

 tutions. ' 



(5) Professor S. L. Penfield : ' The solution of 

 spherical triangles by graphical methods, and exhibi- 

 tion of scales and protractors for plotting. ' 



(6) Miss I. M. Schottenfels : ' On a set of defi- 

 nitional functional properties for the analytic function 



tan Tvz , 



(7) Professor P. F. Smith : 'Geometry within a 

 linear spherical complex. ' 



(8) Dr. E. J. WiLCZYNSKi : 'Invariants of sys- 

 tems of linear differential equations. ' 



(9) Mr. H. W. Kuhn : 'Several theorems on im- 

 primitive groups ' 



After the meeting several members of the 

 Mathematical and Physical Societies dined and 

 passed the evening together. 



