758 



SCIENCE 



[N. S. Vol. XXIX. No. 749 



Particular interest centered in the report of the 

 committee appointed at the previous meeting, of 

 which Professor E. J. Wilczynski was chairman, 

 and whose purpose was to devise a plan by which 

 it might be possible for the society to aid in 

 securing better methods of making mathematical 

 appointments in the colleges and universities of 

 this country. The paper read by Professor Wilc- 

 zynski at the preceding meeting was published in 

 full in Science for February 26, 1909. The com- 

 mittee reported that they had been unable to 

 recommend for consideration any plan for im- 

 provement by action of the society. But, never- 

 theless, the members of the section were greatly 

 interested in the details of a plan proposed by 

 Professor Wilczynski and formally requested the 

 secretary to incorporate this in the minutes of 

 the meeting. 



Twenty-six papers were presented at the four 

 half-day sessions of the section, all of the authors 

 being present except Dr. Kanum and Professors 

 Ames and Davis, whose papers were read by title. 

 Following are the titles of papers and the 

 authors : 



On a Class of Diseontimious Functions of Two 

 Variables: Professor 0. N. Haskins, University 

 of Illinois. 

 The Fermat Number 2^°« + 1 : Mr. A. E. Western, 

 London, England; Dr. J. C. Moeehead, North- 

 western University. 

 A Simplification of Lagrange's Method for the 

 Solution of Numerical Equations: Dr. J. C. 

 Mobehead. 

 Oscillations near Lagrange's Equilateral Triangle 

 Points in the Problem of Three Bodies: Mr. 

 Thomas Buck, University of (Chicago. 

 On the Equivalence of Pairs of Quadratic Forms 

 under Rational Transformations: Professor L. 

 E. Dickson, University of Chicago. 

 The Group of Classes of Quadratic Integers with 

 Respect to a Composite Ideal as Modulus: Dr. 

 Arthtje Ranum, Cornell University. 

 On Surfaces hamng Isotherm-conjugate Lines of 

 Curvature: Professor A. E. Young, Miami Uni- 

 versity. 

 A Set of Criteria for the Summahility of Di- 

 vergent Series: Professor W. B. Fobd, Univer- 

 sity of Michigan. 

 On the Determination of the Asymptotic Develop- 

 ments of a Given Function: Professor W. B. 



FOBD. 



A Class of Periodic Orbits of Three Finite Bodies : 

 Mr. EC. E. Buchanan, University of Chicago. 



Automorphisms of Order Two: Professor G. A. 

 MiLi.EE, University of Illinois. 



The Attack on the Space and Time Concepts by 

 Einstein and Minkowski: Mr. R. P. Bakee, 

 University of Iowa. 



An Imaginary Conic: Professor E. W. Davis, 

 University of Nebraska. 



Groups of Rational Integral Transformations in 

 a General Field: Dr. L. I. Neiktrk, University 

 of Illinois. 



A Theory of Invariants : Professor L. E. Dickson. 



Combinants: Professor L. E. Dickson. 



Maschke's Symbolic Method Applied to some Ques- 

 tions in Geometry of Hyperspace: Mr. W. H. 

 Bates, Purdue University. 



A Simpler Proof of Lie's Theorem for Ordinary 

 Differential Equations: Professor L. D. Ames, 

 University of Missouri. 



Periodic Orbits about an Oblate Spheroid: Dr. W. 

 D. MacMillan, University of Chicago. 



On the Effect of Types of Correspondence on Bra- 

 vais's Coefficient of Correlation: Professor H. 

 L. RiETZ, University of Illinois. 



Oscillating Satellites when the Fimte Bodies De- 

 scribe Elliptic Orbits : Professor F. R. Moulton, 

 University of Chicago. 



Projective Differential Geometry of Developables : 

 Professor E. J. Wilczynski, University of Illi- 

 nois. 



Complete Elementary Theory of Certain Proper- 

 ties of Classes of Functions: Mr. Aethub 

 Pitches, University of Chicago. 



Remarks on the General Theory of Point Sets: 

 Mr. T. H. Hildebeandt, University of Chicago. 



Biorthogonal Systems: Anna Johnson Pell, 

 University of Chicago. 



On the Solution of Linear Differential Equations 

 with Periodic Coefficients: Professor F. R. 

 Moulton, Dr. W. D. MacMillan, University 

 of vjliicago. 



H. E. fcjLAUQHT, 



Secretary of the Section 



THE TOEEEY botanical CLUB 



The meeting of March 9, 1909, was called to 

 order at the American Museum of Natural History 

 at 8:30 P.M., with Dr. E. B. Southwick in the 

 chair. About fifty persons were present. After 

 the reading and approval of the minutes of the 

 preceding meeting, the club listened to a very 

 interesting lecture on " Ferns," by Mr. Ralph C. 

 Benedict. The lecture was illustrated by lantern 

 slides made from photographs taken by the 

 speaker. 



Peect Wilson, 

 Secretary 



