Stone translated works of the Marquis de l'Hôpital on conic sections (1720) and Bion on scientific instruments (1723). In 1725, he was admitted as a fellow of the Royal Society in 1725 and published A New Mathematical Dictionary. In 1730, he published The Method of Fluxions, both Direct and Inverse: the first part is a translation and reworking in Newtonian notation of De l'Hôpital's Analyse des infinement petits (in fact, written by Johann Bernoulli), and the second part is Stone's own.
In 1736, he independently found two species of lines of the third order which had been overlooked by Newton and Stirling, but these had been discovered by others a few years earlier. He also published some other mathematical works.
Following the death of the Duke of Argyll in 1743, Stone's situation deteriorated and he spent the latter part of his life in poverty.
Article by: Alex D D Craik, University of St Andrews.