PROCEEDINGS 



OF THE 



February 10, 1879. 



Professor G. D. Liveing, President, in the Chair. 



The following communication was made to the Society : — 



Mr O. Fisher, M.A., Notes on a mammaliferous deposit at 

 Barrington near Cambridge. 



February 24, 1879. 



Professor G. D. Liveing, President, in the Chair. 



The following communication was made to the Society: — 



Professor Cayley, On the Newton-Fourier imaginary 

 problem. 



The Newtonian process of approximation to the root of a 

 numerical equation /(w) =0, consists in deriving from an as- 



sumed approximate root ^ a new value 1^^ = ^ — " i, yZs which should 



be a closer approximation to the root sought for : taking the 

 coefficients oi f{u) to be real, and also the root sought for, and 

 the assumed value f, to be each of them real, Fourier investigated 

 the conditions under which f^ is in fact a closer approximation. 

 But the question may be looked at in a more general manner: 

 f may be any real or imaginary value, and we have to inquire in 

 what cases the series of derived values 



Vol, III. Pt. vi. 17 



