'As soon as the Royal cavalcade was distinguished by the military on the Downs, signal guns were discharged, and every necessary adjustment was, in an instant, made for its reception. The Royal party now advanced, and passed down the centre of the line, each regiment saluting, and the bands alternately playing "God save the King." Having reached the extremity of the line, the cavalcade turned back, and the Commander in Chief and staff, took their stations in the centre of the line, the Prince and the other Royal Dukes facing them. The whole line now saluted the Prince. This ended, the line passed the Prince, in review order, to slow time; the bands of each regiment wheeling off, and playing until the regiment to which they were attached, had gone by. The regiments again passed in quick time, the Duke of York, etc., having stationed themselves by the Prince of Wales. The line was again formed, when a _feu de joie_ was fired in a very capital style. Huzzas and "God save the King" concluded the proceedings, this day, on the hill, when a signal was hoisted at the Telegraph, for the shipping to salute, which was instantly obeyed; and every house in the town was shaken by the explosion. The Princes returned to the Pavilion about half past three o'clock. At six, all the splendour and fashion of Brighton were assembled to dine at the Pavilion. '_Tuesday Evening._--The crowd on the Level in number are many thousands; and his Royal Highness's butcher, Russell, habited in a white jacket, the sleeves ornamented with buff and blue ribbons, and a blue sash containing the words "Long live the Royal Brothers," with a white apron, and steel, and a fanciful cap to correspond, has just given the signal for the grand carver to do his duty. The acclamations of the multitude are deafening, and all, now, is confusion, expectation and joy. The Nottingham Militia, whose encampment adjoins the public kitchens, are busy actors in this scene. They distinguish themselves manfully, and many a heavy joint, after severe struggles for victory, is borne by them, triumphantly, to their tents. Amongst the splendid party at the Pavilion are, the six Royal Brothers, the Lord Chancellor, Earl Moira, Count Beaujolais, Mr. Sheridan, Mr. Tierney, with a numerous assemblage of persons, the most distinguished for their rank and talents. Two bands of music, the Prince's own, and the South Gloucester, play alternately on the Lawn. The Steyne is crowded with pedestrians. The town is generally illuminated; Pollard's and Donaldson's libraries have, both, a very brilliant appearance. The Theatre, Fisher's lounge, Mr. Russell's, the Old Ship, the New Inn, the Coach Offices, Blaker's, Alexander's, and the greater part of the houses at the bottom of North Street, are, also, lit up in a very radiant style.