The author, after adverting to the origin of this branch of science, as commencing (with himself) in communications with Messrs. Edwin and Latimer Clark, but more particularly with Mr. Charles V. Walker, and alluding to the important labours of Mr. W. H. Barlow, Mr. Walker, and Dr. Lamont, proceeds to give the official history of the establishment of the wires and other apparatus necessary for its prosecution at the Royal Observatory. In 1860 and 1861, the author submitted to the Board of Visitors of the Royal Observatory proposals for extending wires from the Royal Observatory in two directions nearly at right angles,—on the second occasion, specifying Croydon and Dartford as terminal points. The Board in 1861 recommended this to the Admiralty, who immediately gave their sanction. The author then applied to the Directors of the South- Eastern Railway for permission to place his wires on their poles, which was granted, at a merely nominal rent. All the wires and labour in mounting them were provided by the Railway Company at cost price, and the insulators were furnished by Messrs. Silver without profit. The wires communicate with the earth at both ends of each by solder-attachment to water-pipes. The author then describes the apparatus made by Mr. Simms for the record of the currents. For each wire the current acts on a galvanometer whose needle-carrier also supports a small plane mirror; and, by proper adjustment of cylindrical lenses, neat spots of light are formed upon a rotating ebonite cylinder, covered with photographic paper and made to revolve (by clockwork) in twenty-four hours. With angular motion of the galvanometer, the spot of light moves. The zero of measure is obtained by interrupting the wire-circuit. The zero of time is obtained by interrupting the light and observing the corresponding clock-time. Other adjustments have received great attention.