JAITOABT 27, 1911] 



SCIENCE 



155 



recommendations; and while not prepared to ap- 

 prove in all respects the details, especially in the 

 syllabus on dynamics, as shown by the full and 

 free discussion at this meeting, yet we heartily 

 endorse the spirit of the report and thank the 

 officers of the Society for the Promotion of Engi- 

 neering Education, who have shown their friendly 

 cooperation in offering to publish these syllabi in 

 their official Bulletin, for the purpose of drawing 

 out further criticisms and suggestions either in 

 printed papers or in written communications to 

 tne chairman of the committee. 



The further report of this committee is to be 

 presented at the next meeting of the Society for 

 the Promotion of Engineering Education in June, 

 1911. Ihe present meeting was organized, as was 

 the original meeting in Chicago in 1907, by the 

 Chicago Section of the American Mathematical 

 Society. 



Other papers read before the Chicago Section 

 at the Minneapolis meetings, aside from those in 

 astronomy for which joint sessions were held 

 with Section A, were as follows: 



" On the Use of the Co-sets of a Group," Pro- 

 fessor G. A. Miller, University of Illinois. 



" Congruencial Theory of Functions of Several 

 Variables," Professor L. E. Dickson, University 

 of Chicago. 



" Generalizations of Theorems on Linear Alge- 

 bras," Professor L. E. Dickson. 



" On Primitive Roots of Ideals," Professor 

 Jacob Westlund, Purdue University. 



" The Problem of Deiining the Set of Real 

 Numbers," Dr. A. B. Prizell, University of Kan- 

 sas. 



" A Historical Note on the Newton-Raphson 

 Method of Approximations," Professor Florian 

 Cajori, Colorado College. 



" One Parameter Families and Nets of Plane 

 Curves," Professor E. J. Wilczynski, University 

 of Chicago. 



" Circular Numbers for a Plane Curve," Dr. 

 Horace T. Burgess, University of Wisconsin. 



" Rational Anharmonic Curves upon a Quad- 

 ric," Dr. Horace T. Burgess. 



" The Applications of Matrices to Cubic Forms," 

 Dr. Horace T. Burgess. 



" Envelopes of One Parameter Families of Plane 

 Curves," Professor Walter J. Risley, James Milli- 

 kin University, and Professor W. E. MacDonald, 

 Canton College, China. 



" A Reduction of Two Power Series in JIany 

 Variables to Two Equivalent Polynomials," Dr. 

 W. D. MacMillan, University of Chicago. 



" The Path of Light in a Medium Homogeneous 

 in Concentric Spherical Layers," Dr. Harris F. 

 MacNeish, Yale University. 



" Tne Curves of Equal Action for Elliptical 

 Coordinates," Professor Kurt Laves, University 

 of Chicago. 



" Robert of Chester's Translation of the Alge- 

 bra of Al-Khowarazmi," Professor L. C. Kar- 

 pinski, University of Michigan. 



" Hindu Numerals in the Kitab al Fihrist," 

 Professor L. C. Karpinski. 



" Ruled Surfaces and Planed Hypersurfaces in 

 Four-Dimensional Space," Dr. Arthur Ranum, 

 Cornell University. 



" Transformation Groups and Substitutions of 

 an Infinite Degree," Dr. L. I. Neikirk, University 

 of Illinois. 



" Use of Quaternions in Differential Geometry," 

 Professor J. B. Shaw, University of Illinois. 



" On Plane Quintic Curves," Dr. H. L. Slobin, 

 University of Minnesota. 



" On the Construction of a Certain Class of 

 Periodic Solutions of the Problem of Three 

 Bodies," Professor F. R. Moulton, University of 

 Chicago. 



" Curves on Quintic Scrolls," Professor Frank 

 B. Williams, Clark College. 



The next meeting of the Chicago Section will 

 be in Chicago on Friday and Saturday, April 28 

 and 29, 1911. 



H. E. SLAtTGHT, 



Secretary of the Section 



TEE AMERICAN PHYTOPATHOLOGIGAL 

 SOCIETY 



The second annual meeting of the American 

 Phytopathological Society was held in affiliation 

 with the American Association for the Advance- 

 ment of Science at Minneapolis, Minn., December 

 28-30, 1910. The attendance was not as large as 

 at the Boston meeting, but an excellent program 

 of twenty-eight papers was presented. A joint 

 session with Section G of the American Associa- 

 tion and the Botanical Society of America was 

 held at the Minnesota Agricultural College on 

 Thursday, December 29, and other sessions at the 

 University. 



The society wishes to express its appreciation 

 and gratitude to the local committee and espe- 

 cially to Dr. F. E. Clements for the excellent 

 rooms and facilities provided. 



The constitution of the society, drafted and 

 approved by the council, was adopted. The fol- 

 lowing officers were elected: 



