The first object to be accomplished, with the assistance of the Light-house Yacht, was to get the floating-light secured at her new station, an operation which required the finest of weather. To-day, the wind was at NE., and although moderate, it was, of all others, most dreaded at the Bell Rock, the heavy gale of the 6th instant having been from this direction. The writer, however, judged it advisable to proceed with the laying down of the new moorings, and in case of any accident by the slipping of the chain, as formerly, the artificers, instead of going to the rock this tide, were kept on board, that the seamen and all hands might be on the spot to render assistance. These new moorings consisted of 40 fathoms of chain, made from iron-bars of one inch square, with a cast-iron mushroom-anchor, weighing 1 ton 1 cwt. 2 qrs. 4 lb. This anchor and chain, were let down in a depth of twenty-one fathoms, the Bell Rock being from the new station SE. ½ S., distant two and a half miles; Redhead N. by E., distant ten miles; Arbroath N.NW., distant about ten miles; Fifeness SW. by W., distant about eleven miles, and Isle of May SW. by S., distant sixteen miles. The moorings having been laid down on this spot, a buoy was placed upon them. The Yacht then took the floating-light in tow to her new station, where she was made fast to the chain, with a new cable measuring sixteen inches in circumference. This business was successfully accomplished at about 2 o’clock P. M., after six hours of very hard work. The first cables of the floating-light were of patent cordage, made of the very best materials, and most beautifully laid by machinery. But the sailors complained that these ropes were so stiff and unpliable, that they could neither be got stowed in the hold, nor run freely out of the hause-holes. These difficulties were also more felt with the patent laid cables, after the weather became somewhat cold. It was, therefore, found necessary to get a new cable, laid in the ordinary way, for the winter months. [Sidenote: Smeaton arrives with the beams of the Beacon in tow.] Another important occurrence, connected with the operations of this season, was the arrival of the Smeaton at 4 P. M., having in tow the six principal beams of the Beacon-house, together with all the stanchions and other work on board for fixing it on the rock. The mooring of the floating-light was a great point gained, but, in the erection of the beacon at this late period of the season, new difficulties presented themselves. The success of such an undertaking, at any season, was precarious; because a single day of bad weather occurring, before the necessary fixtures could be made, might sweep the whole apparatus from the rock. Notwithstanding these difficulties, the writer had determined to make the trial, although he could almost have wished, upon looking at the state of the clouds, and the direction of the wind, that the apparatus for the beacon had been still in the work-yard.