10 Proceedings of Boy al Society of Edinburgh. [sess. 
Jew he could not take his degree, nor compete for the Smith’s 
Prize, still less obtain a Fellowship. He was called to the Bar in 
1850, hut he mainly devoted himself to teaching. He was Pro- 
fessor of Natural Philosophy at University College, London, from 
1837 to 1844, then Professor of Mathematics at the University of 
Virginia. Returning to England, he was made, in 1855, Professor 
at the Royal Military Academy, Woolwich. Fifteen years later 
he retired, and in 1877 he was appointed the first Professor of 
Mathematics in the newly founded Johns Hopkins University at 
Baltimore, and was editor of the American Journal of Mathe- 
matics. In 1883 he was elected Savilian Professor of Pure 
Geometry in Oxford. Elected a Fellow of the Royal Society 
in 1839, he received a Royal Medal in 1860, and the Copley 
Medal in 1880. It -is unnecessary to mention the various foreign 
societies of which he was an Associate, He was elected a Fellow 
of this Society in 1874, His contributions to mathematical science 
are thus described by Professor Cayley They relate chiefly to 
finite analysis, and cover by their subjects a large part of it, — 
algebra, determinants, elimination, the theory of equations, parti- 
tions, tactic, the theory of forms, matrices, reciprocants, the Hamil- 
tonian numbers, etc,’ 3 He died on 15th March 1897, 
