Papers relating to transactions with the Royal Society, including correspondence with its members. The material includes lists of candidates for election into the Royal Society, 1855, 1856 and 1857; minutes of a Council meeting, 30 May 1856; a 'preliminary report of the Committee appointed to consider the formation of a Catalogue of Philosophical Memoirs'; papers on compass deviations in ships; a paper on the pendulum experiments at Harton Colliery; an 'account of the construction of the New National Standard of length, and of its principle copies', with abstracts; a printed paper titled 'Observations addressed at the last anniversary to the President and Fellows of the Royal Society after the delivery of medals, by C. Babbage', dated 1856; a printed memorandum presented to the Council by the Earl of Rosse on extending the Council; and several reports on papers by Airy and others.