ADDRESS 
BY 
ARTHUR CAYLEY, 
M.A., D.C.L., LL.D., F.R.S., Sadlerian Professor of Pure Mathematics in the 
. University of Cambridge, 
PRESIDENT. 
‘Since our last meeting we have been deprived of three of our most 
distinguished members. The loss by the death of Professor Henry John 
Stephen Smith is a very grievous one to those who knew and admired 
_and loved him, to his University, and to mathematical science, which he 
cultivated with such ardour and success. I need hardly recall that the 
branch of mathematics to which he had specially devoted himself was 
that most interesting and difficult one, the Theory of Numbers. The 
immense range of this subject, connected with and ramifying into so 
many others, is nowhere so well seen as in the series of reports on 
the progress thereof, brought up unfortunately only to the year 1865, 
contributed by him to the Reports of the Association; but it will still 
better appear when to these are united (as will be done in the collected 
works in course of publication by the Clarendon Press) his other mathe- 
matical writings, many of them containing his own further developments 
of theories referred to in the reports. There have been recently or are 
being published many such collected editions—Abel, Cauchy, Clifford, 
Gauss, Green, Jacobi, Lagrange, Maxwell, Riemann, Steiner, Among 
these the works of Henry Smith will oceupy a worthy position. 
_ More recently, General Sir Edward Sabine, K.C.B., for twenty-one 
years general secretary of the Association, and a trustee, President of the 
meeting at Belfast in the year 1852, and for many years treasurer and 
afterwards President of the Royal Society, has been taken from us, at an 
age exceeding the ordinary age of man. Born October 1788, he entered 
the Royal Artillery in 1803, and commanded batteries at the siege of 
| Port Erie in 1814; made magnetic and other observations in Ross and 
|Parry’s North Polar exploration in 1818-19, and in a series of other 
voyages. He contributed to the Association reports on Magnetic Forces 
in 1836-7—8, and about forty papers to the Philosophical Transactions ; 
originated the system of Magnetic Observatories, and otherwise signally 
promoted the science of Terrestrial Magnetism. 
| There is yet a very great loss—another late President and trustee of 
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