Jahtjabt 15, 1909] 



SCIENCE 



117 



James E. Russell, Teachers College, Columbia 



University. 



J. Patil Goode, 

 General Secretary 

 Univeesity of Chicago 



THE AMEBICAN MATHEMATICAL SOCIETY 



The fifteenth annual meeting of the society was 

 held at Baltimore, Md., on Wednesday and Thurs- 

 day, December 30-31, in aflBliation with the Amer- 

 ican Association for the Advancement of Science. 

 The total attendance at the four sessions was 

 about seventy-five, including fifty-seven members 

 of the society. Wednesday evening was set apart 

 for a dinner, at which forty-five of the members 

 were present. 



The sessions opened at 10:30 a.m. and 2 p.m. 

 on each day. President H. S. White occupied the 

 chair, being relieved by Professor Morley and 

 Vice-presidents Miller and Kasner. At the open- 

 ing of the afternoon session on Wednesday Presi- 

 dent White delivered his retiring address on 

 " Bezout's theory of resultants and its influence 

 on geometry." The council announced the election 

 of the following persons to membership in the 

 society: Professor G. N. Armstrong, Ohio Wes- 

 leyan University; Professor P, F. Gaehr, Eobert 

 College, Constantinople; Dr. Frank Irwin, Prince- 

 ton University; Miss Mary B. Wells, Mount Hol- 

 yoke College. Six applications for membership 

 were received. The total membership of the so- 

 ciety is now 602, including 55 life members. 



At the annual election, which closed on Thurs- 

 day morning, the following officers and members 

 of the council were chosen: 



President — Professor Maxime B8cher. 

 Yice-presidents — Professors Edward Kasner and 

 E. B. Van Vleck. 



Secretary — Professor F. N. Cole. 

 Treasurer — ^Professor J. H. Tanner. 

 Librarian — Professor D. E. Smith. 

 Committee of Publication — Professors F. N. 

 Cole, D. E. Smith, Virgil Snyder. 



Members of the Cov/ncil to serve until December, 

 1911— PiofeasoTs H. B. Fine, 0. D. Kellogg, F. R. 

 Moulton, E. J. Wilczynski. 



The treasurer's report shows a balance of 

 $6,995.80, including the life membership fund of 

 $3,215.20. Disbursements, including the cost of 

 publishing the Bulletin and Transactions, were 

 $4,515.97. Sales of publications amounted to 

 $1,385.36. The library now contains over 3,000 

 volumes. The Aimual Register of the society, 

 containing the list of members, constitution and 



by-laws, annual reports and catalogue of the 

 library, is now in press and will be issued this 

 month. 



The following papers were read at the annual 

 meeting : 



R. D. Carmichael : " On r-fold symmetry of 

 plane algebraic curves." 



R. D. Carmichael: "A general principle of in- 

 version, with applications." 



W. R. Longley : " Some sufficient conditions in 

 the theory of implicit functions." 



C. L. E. Moore : " Properties of systems of lines 

 in space of four dimensions and their interpreta- 

 tion in circle geometry." 



F. R. Sharpe : " The topography of the integral 

 curves of a differential equation." 



Joseph Lipke : " Note on isotropic ruled sur- 

 faces." 



John Eiesland: "On a species of cubic surfaces 

 of the sixth class." 



E. O. Lovett : " Integrable problems of three 

 bodies." 



J. I. Hutchinson: "On linear transformations 

 which leave an Hermitian form invariant." 



H. S. White ( presidential address ) : " Bezout's 

 theory of resultants and its influence on geom- 

 etry." 



Frank Morley : " Plane sections of the Weddle 

 surface." 



G. A. Miller : " Finite groups which may be 

 defined by two operators satisfying two condi- 

 tions." 



F. L. Griffin : " Tests comparing the apsidal 

 angles and periodic times for different laws of 

 central force." 



E. G. Bill: "Existence 'im Kleinen' of a space 

 curve which minimizes a definite integral." 



E. G. Bill: "An a priori existence theorem in 

 three dimensions for the calculus of variations." 



J. R. Conner : " Curves and surfaces which ad- 

 mit configurations of the Cayley- Veronese type." 



D. D. Leib : " The complete system of invariants 

 for two triangles." 



W. A. Granville : " Dual formulas in spherical 

 trigonometry." 



C. J. Keyser : " Concerning euclidean geometries 

 without points and lines." 



M. E. Sinclair: "The problem of the surface of 

 revolution with two end points variable on circles." 



G. A. Bliss : " On the construction of the coor- 

 dinate system of analytic projective geometry." 



C. N. Haskins : " Numerical computation of re- 

 action velocity constants." 



Edward Kasner : " The group generated by turns 

 and slides." 



