Waterston's father, George, was an
Edinburgh sealing wax manufacturer and stationer, a relative of the Sandeman family
Robert and his brother, George. John was born, the sixth of nine children, into a family alive with interests in literature, science and music. He was educated at Edinburgh High School before becoming apprenticed as a
civil engineer to Messrs. Grainger and Miller. His employers encouraged him to attend lectures at the
University of Edinburgh. He studied mathematics and
physics under Sir
John Leslie as well as attending lectures in
chemistry,
anatomy and surgery and becoming an active participant in the student literary society. At age nineteen, Waterston published a paper proposing a
mechanical explanation of gravitation, accounting for
action at a distance in terms of colliding particles and discussing interactions between linear and rotational motion that would play a part in his later kinetic theory. He proposed that ether is made of small cylindrical particles, and collisions with large matter particles would transfer rotational motion into linear motion, locally increasing the speed of the ether particles, which he claimed would lower the density of the ether and create an attractive force. Waterston moved to London at age twenty-one, where he worked as a railroad
surveyor, becoming an associate of the
Institution of Civil Engineers and publishing a paper on a graphical method for planning
earthworks. The travel and disruption associated with his surveying work left Waterston little time to pursue his studies so he joined the
hydrography department of the
Admiralty under
Francis Beaufort. It was Beaufort who, in 1839, supported Waterston for the post of naval instructor for cadets of the
East India Company in
Bombay. The posting worked well for Waterston who was able to pursue his reading and research at the library of
Grant College. ==Kinetic theory==