VI CONTENTS. 



NOTICES AND ABSTEACTS 



OF 



MISCELLANEOUS COMMUNICATIONS TO THE SECTIONS. 



MATHEMATICS AND PHYSICS. 



Page 



Address by Professor G. Carey Foster, F.R.S., President of the Section . . 1 



Mathematics. 



Professor J. C. Adams on the Calculation of Bernoulli's Numbers up to B G2 by- 

 means of Staudt's Theorem 8 



• on the Calculation of the Sum of the Reciprocals of 



the First Thousand Integers, and on the Value of Euler's Constant to 260 

 Places of Decimals 14 



on a Simple Proof of Lambert's Theorem 15 



Professor Cayley, Suggestion of a Mechanical Integrator for the calculation 



of \(Xdx-{-Ydy) along an arbitrary Path 18 



Mr. J. W. L. Glaisher on the Values of a Class of Determinants 20 



on the Enumeration of the Primes in Burckhardt 



and Dase's Tables 20 



Dr. D. Bierens de Haan on the Variation of the Modulus in Elliptic 

 Integrals 23 



Mr. Henry M. Jeffery on Cubics of the Third Class with Three Single Foci 26 



— on a Cubic Curve referred to a Tetrad of corre- 

 sponding Points 28 



Mr. F. G. Landon on a Method of Deducing the Sum of the Eeciprocals of 



the First 2 p w Numbers from the Sum of the Reciprocals of the First n 

 Numbers 30 



Astronomy. 



Professor J. C. Adams on some Recent Advances in the Lunar Theory 31 



Professor Hattghton on a new Method of Calculating the Absolute Duration 

 of Geological Periods 31 



■ , the Solar Eclipse of Agathocles considered, in reply 



to Professor Newcomb's criticism on the Coefficient of Acceleration of the 

 Moon's Mean Motion 31 



Mr. F. G. Landon on the Tendency of a System of Heavenly Bodies to 

 Centralize and Applanize, if subject to Resistance in their Motions 31 



Major G. N. Money on a Meteor which passed over Bhawnpore, in India, in 

 October 1873 f . . . 31 



