Mat 7, 1915] 



SCIENCE 



699 



bers being in attendance at the two sessions. 

 President E. W. Brown occupied the chair, being 

 relieved by ex-presidents Osgood, Moore and 

 White and Vice-president Veblen. The following 

 were elected to membership in the society: Pro- 

 fessor L. S.-Hill, University of Montana; Miss Gt. 

 I McCain, Indiana University; Mr. J. L. Eiley, 

 Eice Institute. Eleven applications for member- 

 ship were received. 



The invitation of Harvard University to hold 

 the summer meeting and colloquium of the society 

 at Harvard in 1916 was accepted. The annual 

 meeting will be held in New York City in Decem- 

 ber. Committees were appointed to arrange for 

 these meetings and to present a list of nomina- 

 tions for officers for 1916. Professor P. F. Smith 

 was reelected a member of the editorial com- 

 mittee of the Transactions. 



Reports of the committees were received re- 

 garding the movement against mathematics in 

 the schools and the possible relations of the so- 

 ciety to the field now covered by the American 

 Mathematical Monthly. It was decided that in 

 the former matter no action of the society was at 

 present advisable. The relations of the society to 

 the field covered by the Monthly were carefully 

 considered and the sense of the Council was em- 

 bodied in the following resolution: "It is deemed 

 unwise for the American Mathematical Society to 

 enter into the activities of the special field now 

 covered by the American Mathem-atical Monthly; 

 but the council desires to express its realization 

 of the importance of the work in this field and 

 its value to mathematical science, and to say that 

 should an organization be formed to deal spe- 

 cifically with this work, the society would enter- 

 tain toward such an organization only feelings of 

 hearty goodwill and encouragement." 



The following papers were read at this meeting: 



C. J. de la Vallge-Poussin : ' ' Demonstration simpli- 

 fi^e d'un th^orgme de Vitali sur le passage a. la 

 limite sous le signe d 'integration. " 



C. A. Fischer: "Minima of double integrals 

 with respect to one-sided variations," 



Gr. M. Green: "Nets of space curves." 



K. L. Moore: "A set of axioms in terms of 

 point, region and motion. ' ' 



R. Ij. Moore: "On the eategoricity of a set of 

 postulates. ' ' 



H. S. Vandiver: "A property of cyclotomic in- 

 tegers and its relation to Fennat's last theorem. 

 Second paper. ' ' 



J. F. Eitt: "The reduction of invariant equa- 

 tions.". 



E. B. Wilson : ' ' Linear momentum, kinetic 

 energy and angular momentum. ' ' 



F. H. Safford: "An irrational transformation 

 of the Weierstrass K'' -function curves. ' ' 



Arnold Emch: "A certain class of functions 

 connected with Fuchsian groups." 



G. D. Birkhoff: "An elementary double inequal- 

 ity for the root of an algebraic equation having 

 greatest absolute value. ' ' 



H. S. White and Louise D. Cummings : ' ' Group- 

 less triad systems on 15 elements." 



Edward Kasner : ' ' Conf ormal geometry in the 

 complex domain. ' ' 



Edward Kasner : ' ' Convergence proofs con- 

 nected with equUong invariants. ' ' 



E. V. Huntington : ' ' Notes on the catenary, in- 

 cluding the case of an extensible chain. ' ' 



E. C. Strachan : ' ' Note on the catenary. ' ' 



J. E. Eowe: "A property of the osculant conic 

 of the rational cubic. ' ' 



J. E. Eowe: "The node of the rational cubic as 

 a rational curve in lines. ' ' 



Dr. F. W. Beal : " A congruence of circles. ' ' 



H. F. Stecker: "Linear integral equations whose 

 solutions have only a finite number of terms. ' ' 



C. A. Epperson : ' ' Note on Green 's theorem. ' ' 



L. J. Reed : ' ' Some fundamental systems of 

 formal modular invariants and covariants. ' ' 



J. E. Kline: "Double elliptic geometry in terms 

 of point and order." 



Alexander Pell: "On the curves of constant 

 torsion. ' ' 



J. W. Young and F. M. Morgan: "The geom- 

 etries associated with a certain system of Cre- 

 mona groups. ' ' 



T. H. Gronwall: "A functional equation in the 

 kinetic theory of gases." 



J. W. Alexander, II: "A theorem on conf ormal 

 representation. ' ' 



J. H. Weaver : ' ' The Collection of Pappus. ' ' 



A meeting of the society was held in Chicago 

 on April 2-3. The summer meeting will be held 

 at the University of California and Stanford Uni- 

 versity, August 3-5. F. N. Cole, 



Secretary 



SOCIETIES AND ACADEMIES 



THE UTAH ACADEMY OP SCIENCES 



The eighth annual convention of the Utah Acad- 

 emy of Sciences was held in the chemistry lecture 

 room of the University of Utah. Three sessions 

 were held: one at eight p.m., Friday, April 2, one 

 at 10 A.M., Saturday, April 3, and the closing meet- 

 ing at two P.M., the same day. 



