362 



SCIENCE. 



[N. S, Vol. VIII. No. 194. 



shores those men of all nations whose 

 names stand for progress and advance in 

 Applied Chemistry, that branch of our 

 noble science to which America owes no 

 small share of her magnificent development 

 and prosperity. 



Feedinand G. "Wiechmann. 



AMEEICAN 31ATHEMATIGAL SOCIETY. 



The fifth Summer Meeting of the Society 

 was held at the Institute of Technology, 

 Boston, Mass., on Friday and Saturday, 

 August 19th and 20th. The attendance ex- 

 ceeded that at any previous meeting of the 

 Society, reaching about seventy, including 

 fifty- three members. The number of papers 

 presented also shows a material increase. 

 Nearly all the officers of the Society were 

 present. The President, Professor Simon 

 Newcomb, occupied the chair at the open- 

 ing session, and was relieved later by the 

 Vice-Presidents, Professors E. S. Woodward 

 and E. H. Moore. The Council announced 

 the election of four new members and the 

 receipt of six applications for membership. 

 A committee of five was appointed by the 

 Council to consider the question of securing 

 improved facilities for the publication of 

 original mathematical papers in this coun- 

 try. 



Two years ago a Colloquium was held in 

 connection with the Summer Meeting at 

 Buffalo. At the Toronto meeting last year 

 it was not convenient to retain this feature. 

 But this year it was decided to revive it, 

 and in the week following the regular session 

 twenty-eight members of the Society met 

 at Cambridge to attend the courses of lec- 

 tures offered by Professors W. F. Osgood 

 and A. G. "Webster. The title of Professor 

 Osgood's course was : ' On Some Methods 

 and Problems of the General Theory of 

 Functions ;' that of Professor "Webster's 

 was : ' The Partial Differential Equations 

 connected with Wave Propagation.' The 

 success attending the Colloquium will prob- 



ably ensure the retention of this feature at 

 the future summer meetings. 



The most cordial relations prevailed 

 between the Society and Section A of the 

 American Association. The latter body set 

 apart a special day (Thursday) for the 

 reading of the chief mathematical papers, 

 an arrangement which was greatly appre- 

 ciated by those members of the Society who 

 wished to attend both the Colloquium and 

 the meeting of Section A. 



The following is a list of the papers pre- 

 sented at the Fifth Summer Meeting : 



(1) Dr. E. M. Blake: 'On the ruled surfaces 

 generated by the plane movements whose oentrodes 

 are congruent conies tangent at homologous points. ' 

 (Illustrated by models.) 



(2) Prof. T. F. Holgate : ' A second locus con- 

 nected with a system of coaxial circles.' 



(3) Dr. J. I. Hutchinson ; ' On the Hessian of 

 the cubic curve.' 



(4) Dr. Virgil Snyder : 'Asymptotic lines on 

 cubic scrolls. ' 



(5) Prof. Alexander Chessin : 'Relative 

 motion considered as disturbed absolute motion.' 



(6) Prof. A. L. Bakee : 'Fundamental algebraic 

 operations. ' 



(7) Prof. Alexander Chessin : ' On the de- 

 velopment of the perturbative fuuction in terms of 

 the mean anomalies.' 



(8) Prof. E. O. Lovett : ' Note on the differen- 

 tial invariants of a system of m -\- 1 points by projec- 

 tive transformation.' 



(9) Prof. W. F. Osgood : 'Note on the exten- 

 sion of the Poincare-Goursat proof of a theorem of 

 Weierstrass's.' 



(10) Prof. W. F. Osgood : 'Supplementary note 

 on a single-valued function with a natural boundary, 

 whose inverse is also single-valued.' 



(11) Prof. Maxime BoCHER : ' The theorems of 

 oscillation of Sturm and Klein.' 



(12) Prof. A. L. Baker: 'Space concepts in 

 mathematics. ' 



(13) Dr. T. P. Hall : 'An algebra of space.' 



(14) Prof. E. H. Moore, ' The subgroups of the 

 generalized modular group.' 



(15) Prof. L. L. Conant : 'An application of 

 the theory of substitutions.' 



(16) Dr. J. H. Boyd : ' A method for finding an 

 approximate integral for any differential equation of 

 the second order. ' 



(17) Dr. H. F. Stecker : ' Non-euclidean cubics. 



