TABLE OF CONTENTS 
PAGE 
Officers and Members of the Academy, November 15, 1915 x 
Report of the Annual Meeting, April, 1916 300 
Award of Medals 307 
Research Grants from the Trust Funds of the Academy 307, 743 
Preliminary Report upon the Possibility of Controlling the Land Slides 
Adjacent to the Panama Canal 193 
Symposium on the Exploration of the Pacific 391 
Report of the Autumn Meeting, November, 1916 744 
Notices of Biographical Memoirs 737 
Index 751 
Errata 192 
NATIONAL RESEARCH COUNCIL 
PAQS 
Preliminary Report of the Organizing Committee to the President of the 
Academy 507 
Report of the First Meeting of the Council 602 
Reports of the Meetings of the Executive Committee 605, 738 
Organi7ation of the Research Council 607 
Report of the Second Meeting of the Council 738 
Scientific Research for National Defense as Illustrated by the Problems 
OF Aeronautics (Abstract) By Lieut. Col. George O. Squier, U.S.A. 740 
MATHEMATICS 
PAGE 
Upper Limit of the Degree of Transitivity of a Substitution Group 
By G.A.Miller 61 
An Extension of Feuerbach's Theorem By F. Morley 171 
Deformations of Transformations of Ribaucour By L. P. Eisenhart 173 
On the Linear Dependence of Functions of Several Variables, and Certain 
Completely Integrable Systems of Partial Differential Equations 
By Gabriel M. Green 209 
Point Sets and Allied Cremona Groups (Part II) By Arthur B. Coble 244 
On a Theorem of Lucas By M. B. Porter 247 
Interpretation of the Simplest Integral Invariant of Projective Geometry 
By E. J. Wilczynski 248 
On the Foundations of Plane Analysis Situs By Robert L. Moore 270 
A General Theory of Surfaces By Edwin B. Wilson and C. L. E. Moore 273 
Differential Equations and Implicit Functions in Infinitely Many Variables 
By William L. Hart 309 
Note on Lucas' Theorem By M. B. Porter 335 
A Variable System of Sevens on Two Twisted Cubic Curves By H. S. White 337 
A Proof of White's Porism By A. B. Coble 530 
On Certain Asymptotic Expressions in the Theory of Linear Differential 
Equations By W. E. Milne 543 
On Newton's Method of Approximation By Henry B. Fine 546 
Point Sets and Cremona Groups (Part III) By Arthur A. Coble 575 
Some Problems of Diophantine Approximation: A Remarkable Trigonometri- 
cal Series By G. H. Hardy and J. E. Littleswood 583 
