456 



SCIENCE 



[N. S. Vol. XXX. No. 770 



members were elected: Dr. L. S. Dederick, Prince- 

 ton University; Dr. G. E. Walilin, University of 

 Illinois; Mr. E. E. Whitford, College of the City 

 of New York. Eleven applications for member- 

 ship were received. 



It was decided to hold the annual meeting with 

 that of the American Association at Boston. A 

 grant of 5,000 francs was made from the treasury 

 of the society in support of the proposed publica- 

 tion of the works of Euler. A committee was 

 appointed to prepare suitable resolutions on the 

 death of ex-President Simon Newcomb. 



On Tuesday the members were conducted 

 through the grounds and buildings of the uni- 

 versity. Tuesday evening was marked by a recep- 

 tion at the house of Professor Fine. 



The following papers were read at the summer 

 meeting : 



L. P. Eisenhart : " Congruences of the elliptic 

 type." 



Dunham Jackson : " Resolution into involutory 

 substitutions of the transformation of a bilinear 

 form into itself." 



F. W. Reed: "On singular points in the ap- 

 proximate development of the perturbative func- 

 tion." 



Virgil Snyder : " Surfaces invariant under infi- 

 nite discontinuous birational groups defined by 

 line congruences." 



Joseph Lipke : " Natural families of curves in a 

 general curved space." Preliminary communica- 

 tion. 



A. S. Hawkesworth : " A new theorem in conies." 



Anna J. Pell: "Applications of biorthogonal 

 systems to integral equations." 



G. 0. Evans ; " The integral equation of the 

 second kind, of Volterra, with singular kernel." 



Edward Kasner : " Triply orthogonal systems of 

 surfaces." 



Edward Kasner: "Natural families and Thom- 

 son's theorem." 



G. A. Miller : " The groups which may be gen- 

 erated by two operators Si, s. satisfying the equa- 

 tion (s^S2)<^ = (SjSjP, o and /3 being relatively 

 prime." 



F. R. Sharpe: " Integral equations with variable 

 limits, with an application to the problem of age 

 distribution." 



R. D. Carmichael : " Note on a new number the- 

 ory function." 



T. E. McKinney: "On a criterion for X-develop- 

 ments in the theory of equivalence." 



G. G. Chambers : " Groups of isomorphisms of 

 the abstract groups of order p'q." 



W. R. Longley: "Note on some periodic orbits 

 with more than one axis of symmetry." 



W. H. Bussey: "Tables of Galois fields of order 

 less than 1,000." 



W. B. Ford : " On the relation between the sum 

 formulas of Holder and Cesiro." 



Oswald Veblen: "Products of pairs of involu- 

 toric projectivities." 



G. F. Gundelfinger : " On the geometry of line 

 elements in the plane with reference to osculating 

 vertical parabolas and circles." 



P. F. Smith : " Theorems in the geometry of 

 surface elements in space." 



R. G. D. Richardson and W. A. Hurwitz : " Note 

 on determinants whose terms are certain in- 

 tegrals." 



R. G. D. Richardson : " The Jacobi criterion in 

 the calculus of variations and the oscillation of 

 solutions of linear differential equations of the 

 second order." 



I. J. Schwatt : " Methods for the summation of 

 infinite series." 



A. B. Coble : " Cubic space curves that meet the 

 Hessian of a cubic surface in six pairs of corre- 

 sponding points." 



G. D. Birkhoflf: "On the theory of stability." 



H. W. Reddick: "Geometric properties of a 

 system of tautochrones." 



W. B. Carver : " The poles of finite groups of 

 fractional linear substitutions in the complex 

 plane." 



L. S. Dederick : " The solution of the equation 

 in two real variables at a point where both the 

 partial derivatives vanish." 



H. T. Burgess: "On point-circle correlations in 

 the plane." 



H. B. Newson: "A general theory of linear 

 groups." 



A. R. Schweitzer : " A formal extension of Bol- 

 zano's series." 



The colloquium opened on Wednesday morning. 

 Two courses of four lectures each were given by 

 Professor G. A. Bliss, on " Fundamental existence 

 theorems," and Professor Edward Kasner, on 

 " Geometric aspects of dynamics." Thursday 

 afternoon was devoted to an excursion to Wash- 

 ington's headquarters at Rocky Hill. 



The San Francisco section of the society held 

 its regular meeting at the University of California 

 on September 25. The next meeting of the society 

 will be held at Columbia University on October 30. 



F. N. Cole, 

 Secretary 



