Theories and ancient observations of the Moon and planets, including Mr Templeton's computations of many numbers in the expansion of R; J.F. Encke's paper on a new method of computing planet perturbation; a portrait and map of the Moon, with papers relating to the theory of the Moon, including letters from P.A. Hansen; correspondence concerning an Admiralty grant to P.A. Hansen for the compilation of lunar tables, with a letter from H.C. Schumacher; a letter, in Italian, from E. Nascio containing lunar calculations; notes of errors in the intervals of wires used in planetary and lunar reductions, 5 October 1763 - 2 September 1764; H. Breen's corrections of the elements of the orbit of Mars; and correspondence with J.C. Adams and R. Sheepshanks about the publication of new planetary theories and tables.