But while Smith was superintending the republication of his first book, he was at the same time using his opportunities in London to read up at the British Museum, then newly established, or elsewhere, for his second and greater, of which he had laid the keel in France. One of the subjects which he was engaged in studying at that time was colonial administration. He seems to have been discussing the subject with Lord Shelburne, who was now Secretary of State, and he gives that statesman the results of his further investigations into at least one branch of the subject in the following letter, written in the first instance, like so many others of Smith's extant letters, to do a service to a friend. He wished to interest Lord Shelburne in the claims of a Scotch friend, Alexander Dalrymple, for the command of the exploring expedition which it was then in contemplation to send to the South Sea, and which was eventually committed to Captain Wallis. This Alexander Dalrymple was afterwards the well-known Hydrographer to the Admiralty and the East India Company, to whom the progress of geographical knowledge lies under deep obligations. He was one of the numerous younger brothers of Lord Hailes, the Scotch judge and historian, and having returned in 1765 from thirteen years' work in the East India Company's service, had devoted himself since then to the study of discoveries in the South Sea, and arrived at a confident belief in the existence of a great undiscovered continent in that quarter. Lord Shelburne would have given him the command of this expedition had not Captain Wallis been already engaged, and next year he was actually offered, and had he been granted naval rank, which he thought essential for maintaining discipline on board ship, he would have undertaken command of the more memorable expedition to observe the transit of Venus, which made Captain Cook the most famous explorer of his age. The following is Smith's letter:--