CAMBRIDGE. Philosophical Society, October 25.—Mr. F. Darwin, President, in the chair.—The following elections were made: President—Mr. F. Darwin. Vice-Presidents—Prof. Newton, Prof. J. J. Thomson, Mr. Larmor. Treasurer—Mr. Glazebrook. Secretaries—Mr. Newall, Mr. Bateson, Mr. Baker. New Members of Council—Mr. Harker, Mr. Hutchinson, Prof. Liveing, Mr. Skinner.—The following communications were made: Electrical oscillations in wires, by Mr. H. C. Pocklington. In this paper are discussed some problems relating to electrical oscillations about wires made of perfectly conducting material and of circular cross-section. The first step is to find an expression for the electrical forces which satisfies the space differential equations, and gives infinite values for the forces near the wires.