134 MINUTES. [May 15, 



tions of all the groups of this table, together with the corresponding 

 limiting convergency conditions, fail simultaneously. 



35. It follows that all the roots of an algebraic equation of any 

 number of terms, that is, of any algebraic equation, can be expressed 

 in infinite series by the method of this investigation. 



Lehigh University, Bethlehem, Pa., 

 April 2, 1908. 



Stated Meeting May i, ipo8. 

 Treasurer Jayne in the Chair. 

 Dr. Martin G. Brumbaugh, a newly elected member, was pre- 

 sented to the chair, and took his seat in the Society. 



Letters were read, accepting election to membership from 

 Martin Grove Brumbaugh, Ph.D., Philadelphia. 

 Walter Bradford Cannon, A.M., M.D., Boston, Mass. 

 James Christie, Philadelphia. 



Edward Washburn Hopkins, Ph.D., LL.D., New Haven, Conn. 

 Josiah Royce, Ph.D., LL.D., Cambridge, Mass. 

 Jacob G. Schurman, Ph.D., Ithaca, N. Y. 

 Edward Anthony Spitzka, M.D., Philadelphia. 

 Robert Williams Wood, Ph.D., Baltimore. 



Mr. R. H. Mathews presented some " Notes on Australian 

 Laws of Descent." 



Professor Albert A. Michelson, of Chicago, was unanimously 

 elected a Vice-President to fill the unexpired term of Professor 

 George F. Barker, resigned. 



Stated Meeting May 13, ipo8. 

 Curator Doolittle in the Chair. 

 Letters were read accepting membership from 

 William Hallock, Ph.D., New York City. 

 Leonard Pearson, M.D., Philadelphia. 

 Charles Henry Smyth, Ph.D., Princeton, N. J. 

 John Robert Sitlington Sterrett, Ph.D., Ithaca, N. Y. 

 Ernest Nys, Brussels. 



