370 



SCIENCE 



[N. S. Vol. XLVI. No. 1189 



Professor Miller, of the Case School, and an organ 

 recital in the chapel. On Thursday afternoon 

 President Thwing gave a garden party in honor of 

 the visiting societies. Luncheon was served on each 

 day at the Case Club, whose building was thrown 

 open to the members afternoons and evenings. At 

 the close of the meeting a vote of thanks was tend- 

 ered to the authorities of the two colleges for 

 their generous hospitality. 



The meeting included the usual morning and 

 afternoon sessions on Tuesday and Wednesday and 

 the joint session on Thursday morning. Sixty -two 

 members were in attendance. At the opening ses- 

 sion Professor T. M. Focke, of the Case School, 

 occupied the chair, which was filled in succession 

 by Professors Hedrick, Cajori, 6. A. Miller and 

 Eisenhart. Professor Hedrick presided at the joint 

 session. The council announced the election of the 

 following persons to membership in the society: 

 Dr. W. L. Crum, Yale University; Professor T. J. 

 Fitzpatrick, University of Nebraska; Mr. T. E. 

 HoUcroft, Columbia University; E. L. Ince, M.A., 

 Trinity College, Cambridge, England; Mr. L. S. 

 Odell, Manual Training High School, Brooklyn, N. 

 Y. ; Dr. T. A. Pierce, Harvard University. Five 

 applications for membership in the society were 

 received. 



The following papers were read at this meeting: 



Arnold Emeh: "On the invariant net of cubics 

 in the Steinerian transformation." 



J. E. Eowe: "Theorems related to a point pro- 

 jection of ^the rational plane cubic curve. ' ' 



J. E. Bowe: "Closed hexagons related to the ra- 

 tional plane cubic curve. ' ' 



J. E. Eowe: "The projections of certain points 

 upon the rational plane quartie curve." 



Tomlinson Fort: "Some theorems of compari- 

 son and oscillation. ' ' 



O. D. Kellogg: "Oscillation and interpolation 

 properties of solutions of integral equations." 



A. B. Coble: "Finite groups determined by 

 2p -j- 2 points in Sp. ' ' 



M. G. Gaba : ' ' Complete existential theory of the 

 postulates of the linear order •>;. " 



L. L. Dines: "The bordered Fredholm determi- 

 nant and the related group of functional transfor- 

 mations. ' ' 



E. G. D. Eiehardson: "Contributions to the 

 study of oscillation properties of ordinary linear 

 differential equations of the second order." 



C. N. Moore : ' ' On the summability of the de- 

 velopments in Bessel 's functions. ' ' 



G. A. Miller : ' ' Groups formed by special mat- 



Virgil Snyder and F. E. Sharpe: "On the space 

 involution of order 8 defined by a web of quadric 

 surfaces. ' ' 



E. "W. Burgess: "A second approximation for 

 cantilevers. ' ' 



Florian Cajori: "L. Wantzel. " 



G. M. Green: "Conjugate nets with equal point 

 invariants. ' ' 



G. M. Green: "Plane nets with equal invari- 

 ants. ' ' 



Florian Cajori: "Newton's solution of numeri- 

 cal equations by the use of slide rules. ' ' 



L. P. Eisenhart: "Transformations of planar 

 nets with equal invariants. ' ' 



L. C. Mathewson: "On the group of isomor- 

 phisms of a certain extension of an abelian group. 



E. D. Eoe, Jr. : " Some restricted developments. ' ' 



E. D. Eoe, Jr.: "A geometric representation. 

 Second paper." 



E. D. Eoe, Jr.: "Integral functions as prod- 

 ucts. ' ' 



Mrs. E. D. Eoe, Jr.: " Interf unctional expressi- 

 bility problems of symmetric functions. ' ' 



E. L. Dodd: "The approximation or gradua- 

 tion of a mortality table by means of a sum of ex- 

 ponential functions." 



D. C. Gillespie: "Eepeated integrals." 



W. A. Hurwitz: "An expansion theorem for 

 systems of linear differential equations." 



W. C. Graustein: "Note on isogeneous complex 

 functions of curves." 



Mary F. Curtis: "A proof of the existence of 

 the functions of the elliptic cylinder. ' ' 



John Eiesland: "A Pliicker geometry of flats in 

 odd n-space. " 



H. J. Ettlinger: "Theorems of oscillation for a 

 generalized Sturmiain boundary problem. ' ' 



H. J. Ettlinger : ' ' Theorems of oscillation for 

 the general real, self -ad joint system of the second 

 order. ' ' 



E. V. Huntington: "Bibliographical note on the 

 use of the word mass in current text-books. ' ' 



L. P. Eisenhart : ' ' Darbonx 's contribution to 

 geometry. ' ' 



Abstracts of the papers are published in the 

 Bulletin of the society. 



The next regular meeting of the society will be 

 held at Columbia University on October 27. The 

 San Francisco Section will meet on the same day 

 at the University of California. The annual meet- 

 ing of the Southwestern Section will be held at 

 the University of Oklahoma, Norman, Okla., on 

 December 1. F. N. Cole, 



Secretary 



