Januakt 31, 1908] 



SCIENCE 



169 



next summer meeting of the society at the 

 University of Illinois. The date will prob- 

 ably be the second week of September. 

 The data of the next annual meeting was 

 fixed as December 29-30. 



The membership of the society increased 

 during the past year from 554 to 582, in- 

 eluding at present 52 life members. The 

 number of papers presented at all meet- 

 ings, including those of the Chicago, San 

 Francisco and Southwestern sections, was 

 166, and the total attendance of members 

 was 396. The treasurer's report shows the 

 gross income for 1907 to be $5,401.28, ex- 

 penditures, $4,515.26 ; balance on hand at 

 end of the year, $6,081.82, including $2,- 

 969.40 life membership fund. Sales of 

 the society's publications amounted to 

 $1,534. 



Several important changes have oc- 

 curred during the year in the administra- 

 tive and editorial offices. Dr. W. S. Den- 

 nett retired in February from the treas- 

 urer's office, which he had held since 1899, 

 and was succeeded by Professor J. H. Tan- 

 ner, Professor E. S. Moore, who had 

 served as editor-in-chief of the Transac- 

 tions since its foundation in 1899, has re- 

 tired, and is succeeded by Professor 

 Maxime Bocher. At the close of the year 

 Professor Alexander Ziwet retired from 

 the Committee of Publication, of which he 

 had been a most valued member since 1893. 

 The vacancy in the committee was filled by 

 the election of Professor Virgil Snyder. 



At the annual election, which closed on 

 Saturday morning, the following officers 

 and other members of the council were 

 chosen : 



Vice-presidents — James Harkness, G. A. Miller. 

 Secretary — F. N. Cole. 

 Treasurer — J. H. Tanner. 

 Librarian — D. E. Smith. 



Committee of Publication — F. N. Cole, D. E. 

 Smith, Virgil Snyder. 



Members of the Council (to serve until De- 



cember, 1910) — R. E. Allardice, Max Mason, 6. D. 

 Olds, M. B. Porter. 



The following papers were read at this 

 meeting : 



F. L. Geitfin : " Certain families of central 

 orbits with a constant apsidal angle." 



F. L. Geiffin : " On the non-existence of cer- 

 tain types of periodic solutions in the problem 

 of three bodies." 



E. 0. LovETT: "On a problem in mechanics. 

 Note II." 



E. 0. LovETT : " On a class of periodic solutions 

 in the problem of four bodies." 



Oswald Veblen and J. W. Young : " A set of 

 assumptions for projective geometry." 



Frank Moelet : " The transformation of a 

 Clifford configuration into itself." 



R. G. D. Richardson: " Lebesgue improper in- 

 tegrals." 



E. W. Brown : " The motion of the moon rela- 

 tive to a moving plane of reference." 



E. W. Brown: " The development of the infinite 

 determinant." 



Arthur Ranum : " Groups of singular mat- 

 rices." 



I. G. Hardy : " Curves in a space of n dimen- 

 sions." 



A. B. CoBtE : " A reduction of the problem of 

 solving a quintic to Klein's ' problem of the A'a ' 

 by means of invariant theory." 



L. I. Hewes : " The necessary and sufficient con- 

 dition that an ordinary differential equation shall 

 admit a conformal group." 



J. I. Hutchinson : " Hermitian forms with zero 

 determinant." 



E. B. Wilson : " On the uniform rotation of a 

 homogeneous chain about a vertical axis." 



E. B. Wilson : " On the theory of double prod- 

 ucts and strains in hyperspace." 



Max Mason : " Note on implicit functions." 



H. E. Hawkes : " On the equivalence of families 

 of bilinear forms." 



G. A. Buss : " An existence theorem for a par- 

 tial differential equation of the first order which 

 is non-analytic." 



The meeting of the Chicago Section of 

 the society at Chicago, December 30-31, 

 1907, and January 1, 1908, was especially 

 marked by joint sessions with Sections A 

 and D of the American Association for 

 the Advancement of Science, at which the 

 teaching of mathematics to students of 

 engineering was made the subject of an 



