Papers relating to the Royal Astronomical Society, including papers by Airy on the value of the Moon's semidiameter; the supposed possible effect of friction in the tides in influencing the apparent acceleration of the Moon's mean motion in longitude; a method of computing interpolations to the second order without changes of algebraic sign; Abraham Sharpe's quadrant; a meteor shower of November 1866; the simultaneous disappearance of Jupiter's satellites in the year 1867; certain appearances of the telescopic images of stars described by the Revd W.R. Dawes; the total solar eclipse of 17-18 August 1868; the preparatory arrangements which will be necessary for efficient observation of the transits of Venus in the years 1874 and 1882; atmospheric chromatic dispersion as affecting telescopic observations and on the mode of correcting it; and an error of expression in two memoirs of the Astronomer Royal in the corrections to the elements of the Moon's orbit. The papers also include an extract of a letter to the Astronomer Royal by Dr Luther on observations of Clio; a letter from N.R. Pogson on his discovery of a new planet, Sylvia; a report by Airy on Professor C.P. Smyth's pyramid measures; papers on observations by Sir T. Maclear on Comet I, 1865, and the zenith distance of the Moon, 1862; an announcement of a meteor shower, 1866; a list of the Fellows of the Royal Astronomical Society; and other general correspondence regarding the Royal Astronomical Society.