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THREE:While an impulse was thus given to the mathematical theory of light in the University of Cambridge, similar progress was being made in the sister University of Dublin, where three of her most eminent professors��Sir William Rowan Hamilton, Dr. Lloyd, and Mr. M'Cullagh��devoted themselves energetically to its improvement and verification. Sir William Hamilton, a geometer of the first order, having undertaken a more complete discussion of the wave surface of Fresnel, to the equation of which he gave a more elegant form, ascertained the exact nature of that surface, and consequently the exact direction of refracted rays in the neighbourhood of the optic axes. The beautiful and unexpected results he obtained were verified by his friend Dr. Lloyd. The names of Sir William R. Hamilton and Dr. Lloyd will be handed down to posterity in connection with this discovery. "But," says Professor Forbes, "they have other claims to our respect. The former has generalised the most complicated cases of common geometrical optics, by a peculiar analysis developed in his essays on 'Systems of Rays.' To Dr. Lloyd we are indebted for several interesting experimental papers on optics, for an impartial review of the progress of the science, and for an excellent elementary treatise on the wave theory."Louis was succeeded for the time by the Duke of Orleans as Regent, who had other views, and was surrounded by other influences than the old king. He had secured the Regency in opposition to Madame Maintenon and the royal bastards. He changed all the ministers, and was not inclined to risk his government by making enemies of the English abroad, having sufficient of these at home. He had been for some time cultivating the good offices of the present English Government, which had offered to assist him with troops and money, if necessary, to secure the Regency. He had seen a good deal of the new Secretary of State, Stanhope, in Spain, and still maintained a correspondence with him. Lord Stair, the British Ambassador, therefore, was placed in a more influential position with the Regent, and the Pretender and his ministers were but coldly looked on.