NOTICES AND ABSTRACTS 



OF 



MISCELLANEOUS COMMUNICATIONS TO THE SECTIONS. 



MATHEMATICS AND PHYSICS. 



Pace 



Address by Sir W. Thomson, LL.D., F.R.S., President of the Section 1 



Sir Davtd Brewster on the alleged Correspondence between Pascal and 

 Newton 1 



Mr. T. Archer Hirst on the alleged Correspondence between Newton and 

 Pascal recently communicated io the French Academy 2 



Mathematics. 



The Hon. J. Cockle on the Inverse Problem of Coresolvents 3 



Mr. W. Barrett Davis's list of 5500 Prime Numbers 4 



The Bev. Professor B. Harley on Finite Solutions of Algebraical Equations 4 



Dr. D. BiERENS DE Haan on a Theorem in the Integral Calculus 4 



The late James Lindsay's proof of the Binomial Theorem 5 



Professor W. J. Macquorn Bakkine on the Approximate Drawing of Circular 

 Arcs of given lengths • 6 



Astronomy. 



Major J. F. Tentvant's Preparations for Observing the Total Solar Eclipse of 

 August 18, 18G8 5 



Light. 



Sir DA-sao Breavster on the Colours of the Soap-Bubble 6 



— — on the Figures of Equilibrinni of Liquid Films 6 



's Notice respecting the Enamel Photographs executed 



by Mr. M'Baw, of Edinbm-gh 8 



• on the Motions and Colours upon the Films of Alcohol, 



Volatile Oils, and other Fluids 8 



on the Badiant Spectrum 8 



