PARIS. Academy of Sciences, August 26.—M. Emile Roux in the chair.—P. Appell; The integration of the simultaneous differential equations verifying the Hermite polynomial Um, n.—G. Bigourdan: The astronomical station at the Petit Luxembourg. The co-ordinates of the stations of the Collége d'Harcourt.—G. Charpy and M. Godchot: The formation of coke.—M. Plancherel: The unicity of the development of a function in a series of Legendre polynomials.—M. Auric: The calculation of the energy accumulated in the sun by contraction since its formation.—C. Raveau: Is the principle of equivalence a consequence of Carnot's principle? A criticism of a recent paper by Sir Joseph Larmor.—G. Reboul: The influence of the radius of curvature of a body on the formation of hoar-frost. Hoar-frost commences to deposit more rapidly on objects the smaller the radius of curvature.—M. Collignon: The propagation of the sound of gunfire to great distances. Annual periodicity.—M. Chopin: Apparatus, for the measurement of chimney losses and the elements constituting these losses. Starting with the approximate formula giving the heat carried away by flue-gases as directly proportional to the difference of temperature between the outside air and the flue, and inversely proportional to the percentage of carbon dioxide by volume, an apparatus is described which reads off directly the percentage of heat lost. The temperature difference is measured by a thermocouple in the usual way and for the other factor use is made of the change in electrical resistance of a solution of caustic soda caused bv the absorption of carbon dioxide and the production of sodium carbonate. Each of the factors is thus reduced to a galvanometer reading, and the point of intersection of the two galvanometer needles is read off on a series of curves plotting the percentage heat loss. The apparatus in its present form is not automatic.—H. Colin and Mile. A. Chaudun: The law of action of sucrase: the hypothesis of an intermediate combination. The results of six series of experiments are given, from which it is shown that the theory of A. Brown, which assumes a combination between the sugar and the enzyme, is justifiable.—F. Kerforne: The iron minerals of Menez-Bel-Air (Côtes-du-Nord).—C. Viola: The law of Curie. Curie's law is defined as follows: The normal increases of the faces of a crystal in stable equilibrium are directly proportional to their capillary constants, and some mathematical consequences are developed.—A. Piédallu: The industrial application of the colouring matter of the glumes of the sugar sorghum. Details are given of the method of extracting the dye, and of its application with different mordants to dyeing wool, silk, and cotton.—M. Galippe; Researches on the resistance to heat of the living elements existing normally in animal and vegetable tissues.—P. Girard and R. Audubert: The electric charges of microorganisms and their surface tension.—R. Paucot: The measurement of arterial pressure in clinical practice. A criticism of current methods of measurement and suggestion of a new technique.
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