It is generally known that most of metallic corrosion in the solution of salt is wholly an electrochemical phenomenon. As, in case of electrochemical corrosion, the quantity of metallic corrosion should be proportional to the electric quantity which flow from the face of metal towards a solution, the question of corrosion is really a question of electric current, and it is a phenomenon not to be considered without the geometrical conditions of shape, size, etc. of metal. Hence, it is natural that the law of similarity should prevail at model experiments. The object of this treatise is to show how the geometrical conditions of shape, size, etc. affect the metallic corrosion, by applying mathematics to the question. However, in connection with this matter, there remain many problems of which this is only a part.