to which various galvanic communications are liable, and the financial necessity for occupying wires as little as possible, I perceived that it was necessary to devise constructions which should satisfy the following conditions.  First, that a current sent once a day should suffice for adjusting the clock, even if it had gone ten or more seconds wrong.  Secondly, that an occasional failure of the current should not stop the clock.  I have arranged constructions which possess these characters, and the artist (Mr C. Shepherd) is now engaged in preparing estimates of the expense.  I think it likely that this may prove to be the beginning of a very extensive system of clock regulation.”—­With respect to the operations for determining the longitude of Paris, it is stated that, “The whole number of days of signal transmission was eighteen, and the whole number of signals transmitted was 2530.  The number of days considered available for longitude, in consequence of transits of stars having been observed at both Observatories, was twelve, and the number of signals was 1703.  Very great care was taken on both sides, for the adjustments of the instruments.  The resulting difference of longitude, 9m. 20.63s., is probably very accurate.  It is less by nearly 1s. of time than that determined in 1825 by rocket-signals, under the superintendance of Sir John Herschel and Col.  Sabine.  The time occupied by the passage of the galvanic current appears to be 1/12th of a second.”—­With regard to the Pendulum Experiments in the Harton Colliery, after mentioning that personal assistance had been sought and obtained from the Observatories of Cambridge, Oxford, Durham, and Red Hill, the Report states that “The experiments appear to have been in every point successful, shewing beyond doubt that gravity is increased at the depth of 1260 feet by 1/10000th part.  I trust that this combination may prove a valuable precedent for future associations of the different Observatories of the kingdom, when objects requiring extensive personal organization shall present themselves.”—­On Oct. 18th the Astronomer Royal printed an Address to the Individual Members of the Board of Visitors on the subject of a large new Equatoreal for the Observatory.  After a brief statement of the existing equipment of the Observatory in respect of equatoreal instruments, the Address continues thus:  “It is known to the Visitors that I have uniformly objected to any luxury of extrameridional apparatus, which would materially divert us from a steady adherence to the meridional system which both reason and tradition have engrafted on this Observatory.  But I feel that our present instruments are insufficient even for my wishes; and I cannot overlook the consideration that due provision must be made for future interests, and that we are nearer by twenty years to the time when another judgment must decide on the direction which shall be given to the force of the Observatory.”—­“In August I had some correspondence about the Egyptian