218 



SCIENCE, 



[N. S. Vol. XI. No. 267. 



was felt, are distant 1500 miles from this 

 point. Tlie shock would appear to have 

 reached IX. of the E. F. scale, at the cen- 

 ter. It will be interesting to learn how far 

 this side the center, any sensations were 

 noticed. The delicate indications of a fine 

 telescope, poised over the mercury, will fill 

 in the gap between the borders of the sen- 

 sible shock, and the far extent of the real 

 disturbance of the earth's crust. 



R. H. Tucker. 

 Lick Observatoey, XJnivbe- 



SITY OF CALIFOENIA, 



Jan. 24, 1900. 



Note. — The thirty-six-inch and twelve- 

 inch refractors and the Crossley reflector 

 were in use while the oscillations of the 

 earth, recorded by Professor Tucker, were 

 taking place, but no unusual disturbances 

 of these instruments were noticed. The 

 observers were not, however, aware of the 

 disturbance of the mercury under the me- 

 ridian circle. 



J. E. K. 



THE CHICAGO SECTION OF THE A3IERICAN 

 MATHEMATICAL SOCIETY. 



The Section held its sixth semi-annual 

 meeting at the University of Chicago on 

 Thursday and Friday, December 28 and 29, 

 1899. Four sessions, two on each day, 

 were fully occupied with the presentation 

 and discussion of papers. Professor Moore, 

 Vice-President of the Society, occupied the 

 chair during the first session, after which 

 Professor E. W. Davis presided. 



The following papers were read : 



(1) Mr. E. E. Moeitz, University of Nebraska : 

 ' A generalization of the process of differenti- 

 ation. ' 



(2) Professor E. D. Roe, Elmira, N. Y. : ' On the 

 transcendental form of the resultant. ' 



(3) Dr. E. J. WiLCZYNSKi, University of Cali- 

 fornia : ' An application of Lie's theory to hy- 

 drodynamics.' 



(4) Dr. F. E. Moulton, University of Chicago : (1) 

 On the question of the stability of certain par- 

 ticular solutions of the problem of four bodies ; 



(2) Particular solutions of the problem of n 

 bodies of the Lagrangian type. 

 (5) Professor L. E. Dickson, University of Texas : 

 ' The canonical form of linear homogeneous 

 substitutions in a general Galois field ; (2) 

 The cyclic sub-group of the simple group of 

 linear fractional substitutions of determinant 

 unity in two non-homogeneous variables with 

 coefficients in an arbitrary Galois field. 



(6) Dr. J. V. Wbstfall, University of Iowa : ' On 

 a category of transformation groups in space of 

 four dimensions.' 



(7) Professor 0. Bolza, University of Chicago : 

 ' The elliptic sigraa-functions considered as a 

 special case of the hyperelliptic sigma-functions. 



(8) Professor Alexander Pell, University of 

 South Dakota : Calculation of the integral 



/r('"+^)sin f,,.+ ^M,,. 

 ^ cos 1 x^l 



(6) Professor John A. Miller, Indiana Uni- 

 versity : ' Concerning certain elliptic modular 

 functions of square rank.' 



(10) Professor Robert J. Aley, Indiana Uni- 

 versity: 'A new oollinear set of three points 

 connected with the triangle. ' 



(11) Professor H. Maschke, University of Chi- 

 cago : ' Note on the unilateral surface of 

 Moebius. ' 



(12) Professor C. A. Waldo, Purdue University: 

 ' On a family of warped surfaces connected by 

 a simple functional relation.' 



(13) Professor Henry S. White, Northwestern 

 University : ' Plane cubics and irrational co- 

 variant oubics. ' 



After the papers listed above had been 

 read there followed a general discussion on 

 the topic ' Limits of function of one or more 

 variables' introduced by Professor Moore. 

 The program committee for the following 

 year was elected at this meeting and will 

 consist of the Secretary ex- officio, Professor 

 H. B. Newson, University of Kansas, and 

 Professor C. A. Waldo, Purdue University. 

 The next meeting of the Section will be 

 held on Saturday, April 14, 1900, at North- 

 western University, Evanston. 



Thomas F. Holgate, 

 Secretary of the Section. 

 Evanston, Illinois. 

 Jan. 6, 1900. 



