TABLE OF CONTENTS 
PAGE 
Officers and Members of the Academy, November 15, 1915 ix 
Report of the Autumn Meeting, December, 1914 54 
Report of the Annual Meeting, April, 1915 322 
Award of the Henry Draper Medal 328 
Research Grants from the Trust Funds of the Academy 328 
Report of the Autumn Meeting, November, 1915 433 
Notices of Scientific Memoirs 184, 632 
Notices of Biographical Memoirs 390, 562 
Index 637 
Errata 645 
MATHEMATICS 
PAGE 
Recent Progress in the Theories of Modular and Formal Invariants and in 
Modular Geometry By L. E. Dickson 1 
The Synthesis of Triad Systems a< in / Elements, in Particular for t = 31 . . . 
By Henry S. White 4 
The ^-Subgroup of a Group of Finite Order By G. A. Miller 6 
Conjugate Systems of Space Curves with Equal Laplace-Darboux Invariants 
By E. J. Wilczynski 59 
Transformation of Surfaces 12 By L. P. Eisenhart 62 
A Note on Functions of Lines By Gilbert Ames Bliss 173 
A Classification of Quadratic Vector Functions By Frank L. Hitchcock 177 
The Second Derivatives of the Extremal Integral for a General Class of 
Problems of the Calculus of Variations By Arnold Dresden 238 
Groups Possessing at Least One Set of Independent Generators Composed 
OF AS Many Operators as There are Prime Factors in the Order of the 
Group By G. A. Miller 241 
Point Sets and Allied Cremona Groups By Arthur B. Coble 245 
The Straight Lines on Modular Cubic Surfaces By L. E. Dickson 248 
A New Canonical Form of the Elliptic Integral By Bessie I. Miller 274 
Transformations of Conjugate Systems With Equal Invariants 
By Luther Pfahler Eisenhart 290 
Solution of an Infinite System of Differential Equations of the Analytic 
Type By F. R. MouUon 350 
On the Factorization of Various Types of Expressions By Henry Bliimberg 374 
On the Representation of Arbitrary Functions by Definite Integrals 
By Walter B. Ford 431 
Some Theorems Connected with Irrational Numbers 
By William Duncan MacMillan 437 
Seven Points on a Twisted Cubic Curve By H. S. White 464 
On Isothermally Conjugate Nets of Space Curves By Gabriel M. Green 516 
A Theorem Concerning the Singular Points of Ordinary Linear Differential 
Equations By George D. Birkhojff 578 
Definition of Limit in General Integral Analysis. . .By Eliakim Hastings Moore 628 
iii 
