74 Sir ALEXANDER MACKENZIE for a solution of the problem. Even the most - accurate time-piece could not be trusted with- out frequent correction, and for this there was usually no opportunity. In consequence the explorer in distant lands had to fall back on what were called “absolute”? methods; these involved first the observation of certain astro- nomical phenomena, generally the moon or the satellites of Jupiter, and then the calculation of Greenwich time from these observations with the aid of an almanack, by a process which varied in difficulty in accordance with the method employed. Mackenzie, therefore, crossed the ocean primarily to train himself to take accurate observations of longitude. He was apparently ashamed of his results on the first voyage, though he need not have been in view of Franklin’s praise, already quoted. He wrote to Lord Dorchester some years later: “Not having been furnished with proper instru- ments to ascertain the longitude on my first expedition, I made myself but little known during my residence in London the winter of 1791-2.” This appears to be the reason why,