Papers relating to the Royal Astronomical Society, including a speech by Airy on delivering the medal to Signor A. de Gasparis; an abstract of Lt Clarke's paper; a paper by Airy on the determination of the probable stability of an azimuthal circle by observations of stars and of a permanent collimator; a paper by Airy on the vibration of a free pendulum in an oval, differing little from a straight line; correspondence, reports and diagrams on the total eclipse of the Sun, 28 July 1851; a paper by Y. Villarceau on Ophiuchus; correspondence on Sergeant William Mayes' observations of occultations of Jupiter's satellites; an extract of a letter from Professor G.S.G. Santini of Padua to Airy on Biela's Comet; correspondence on the printing of the observations of the solar eclipse of 28 July 1851; a letter on Professor P.A. Hansen's new solution of J. Kepler's problem; a report on T. Chevallier's paper on occultations; correspondence concerning the 'Monthly Notices'; and general correspondence from R. Sheepshanks, A. de Morgan, C.P. Smyth and others regarding the Royal Astronomical Society.