Ivi Proceedings of Boyal Society of Edinlurgh. 
the mechanics courses of lectures on natural philosophy, astronomy, 
chemistry, and geology. These lectures were given gratuitously, 
and he was much pleased with the only reward they brought him, 
beyond the enlightenment and the gratitude of his audiences, — a 
copy of Laplace’s Mecanique Celeste. 
For four and forty years Dr Miller discharged the duties of 
Eector of the Perth Academy, and (in the words of one of his 
distinguished pupils) “ under his reign the Academy was less a 
school than a notable provincial college.” It may be worth while, 
for purposes of pedagogic comparison, to give a general statement 
of the course of study through which he conducted his junior and 
senior classes. The course consisted of the theory of arithmetic, 
algebra, plane and solid geometry, geometrical conics, plane and 
spherical trigonometry, dynamics, elementary physics and astro- 
nomy, and inorganic chemistry. Occasionally he had pupils who 
gave a third or even a fourth year’s attendance, for which he would 
accept no fee, and he took particular pleasure in initiating them into 
the mysteries of the calculus. 
In 1881 he retired, and not long afterwards his friends and former 
pupils presented him with his portrait painted by J. M. Barclay, 
E.S.A. He had long been prominently connected with the charit- 
able and philanthropic schemes of the city, and he continued to give 
them his support. He was a Justice of the Peace for the county, 
and at the time of his death had been for more than half a century 
an office-bearer in St Paul’s Church. He died on the 9th Septem- 
ber 1891. 
Dr Miller possessed the qualifications which go to form a great 
schoolmaster. He was a man of high ability, he never ceased to be 
a student, he had genuine sympathy with youth, and while he was 
patient with the dullest, he could rouse the enthusiasm of all. Ho 
master was ever prouder of the successes of his pupils, or took a 
livelier interest in their after welfare. His culture was not that of 
science alone, for he was widely read in literature, and he could 
grapple with the philosophical and theological questions of the day. 
To the young men who were his assistants no head-master could be 
kinder or more considerate. With peculiar appropriateness one may 
say of him, in the words of a well-known writer, “he had the 
esteem of his fellow-citizens, and the love of his fireside; he bore 
