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SCIENCE. 



[N. S. Vol. XII. No. 291. 



by Vice-President E. H. Moore, relieving 

 President E. S. Woodward, who was also 

 President of the Association. Professor H. 

 S. White, Professor E. W. Hyde, and the 

 Secretary were also called to the chair 

 during the meeting. On Thursday, the 

 Society met, for the first time in its history, 

 in joint session with Section A, the entire 

 day being devoted to this combined meet- 

 ing. At the morning session, at which 

 papers chiefly from Section A were read. 

 Professor Ormond Stone presided. On Fri- 

 day, separate sessions were resumed. The 

 final session, on Friday afternoon, was de- 

 voted to an extensive discussion, noted 

 below. 



The Council announced the election of 

 the following persons to membership in the 

 Society : Mr. J. L. Coolidge, Harvard Uni- 

 versity ; Professor Peter Field, Carthage 

 College ; Mr. F. A. GifBu, University of 

 Colorado; Mr. W. J. Greenstreet, Stroud, 

 England ; Mr. L. L. Locke, Fredonia, Pa. ; 

 Professor J. E. Manchester, Vincennes Uni- 

 versity; Professor W. J. Vaughn, Van- 

 derbilt University. Six applications for 

 membership were reported. The present 

 membership of the Society is 342. At the 

 meeting of the Council it was decided to 

 set apart the life membership fund, now 

 amounting to $600, as a special fund for the 

 promotion of such object as the Council 

 may hereafter designate. 



The following papers were read at this 

 meeting : 



(1) De. a. S. Chessin : ' On the motion of a top, 

 taking into account the rotation of the earth.' 



(2) Peofessor F. Moeley : ' On a mechanism 

 for drawing trochoidal and allied curves.' 



(3) Mb. H. W. Kohn : ' Theorem on non- 

 primitive groups ' (preliminary communication). 



(4) De. H. E. Timeeding : 'Some remarks on 

 tetrahedral geometry. ' 



(5) Pbofessoe H. B. Newson : 'On singular 

 transformations. ' 



(6) Dk. Viegil Snydee : ' On a special form of 

 annular surface. ' 



(7) Peofessoe F. Moeley : ' On the rational 

 quartic curve in space. ' 



(8) Peofessoe Paul GOEDAN : ' Die Hesse'sohe 

 und die Cayley'sche Curve.' 



(9) Me. H. E. Hawkbs : 'On hyper-complex 

 number systems. ' 



(10) Peofessoe Maximb BocHEE : 'Application 

 of a method of d'Alembert to the proof of Sturm's 

 theorem of comparison. ' 



(11) Miss I. M. Schottenfels : 'On groups of 

 order 8!/2.' 



(12) Peofessoe P. F. Smith : ' On surfaces sibi- 

 reoiprocal under those contact transformations which 

 transform spheres into spheres.' 



(13) Peofessoe E. H. Mooee : ' A simple proof 

 of the fundamental Cauchy-Goursat theorem.' 



(14) Peofessoe W. F. Osgood : 'On the exist- 

 ence of the Green's function for simply connected 

 plane regions bounded by a general Jordan curve, and 

 for regions having a more general boundary of posi- 

 tive content. ' 



(15) De. J. V. Collins: 'Quaternions and 

 spherical trigonometry.' 



(16) Peofessoe J. McMahon : 'Kelvin's treat- 

 ment of instantaneous and permanent sources ex- 

 tended to certain cases in which a source is in motion. ' 



(17) De. F. E. Moulton : 'Oscillating satel- 

 lites.' 



(18) Miss B. E. Geow : ' The reduction of binary 

 quantics to canonical forms by linear transforma- 

 tion. ' 



(19) De. M. B. Poetee : ' Note on geometry on 

 the non-singular cubic' 



For the Friday afternoon session, a dis- 

 cussion of the following question was in 

 order : 



What courses in mathematics should be offered to 

 the student who desires to devote one-half, one third, 

 or one-fourth of his undergraduate time to preparation 

 for graduate work in mathematics ? 



The discussion was opened by the follow- 

 ing papers : 



Peofessoe E. H. Mooee : ' Certain fundamental 

 ideas which should be emphasized throughout the 

 undergraduate course.' 



Peofessoe J. Haekness : ' The importance of 

 some preliminary training in applied mathematics ' ; 

 ' Courses in differential calculus and differential 

 equations. ' 



Peofessoe W. P. Osgood : ' The proper time for 

 he introduction of the lecture method ' ; ' Courses in 

 diSerential equations ' ; ' Should elementary courses 



