From the very debilitated state of some of the crew, from dysenteric affections contracted at Timor, we were not able to leave Swan River before the 25th of October. At noon on the 28th, Cape Naturaliste bore South 80 degrees East three miles; according to our observations it was in latitude 33 degrees 31 minutes 45 seconds South four miles further south than it is placed in the charts, though in longitude (0 degrees 47 minutes 30 seconds West of Swan River) it appeared pretty correct. Some reefs have been reported three or four miles off the north-east side of it: but we could see nothing of them, and had a depth of 25 and 26 fathoms. We got soundings of 23 and 25 fathoms in passing along a few miles from the coast towards Cape Leeuwin, in the neighbourhood of which we looked in vain for a rock called the Rambler, that had been supposed to be about twelve miles south-west of a remarkable white patch close to the northward of the Cape, the locality of which it always serves to show. Twenty miles west of Cape Leeuwin the depth was 47 fathoms. Passing along the south coast we found the white-topped rocks near Cape Chatham to be in longitude 0 degrees 29 minutes 30 seconds East of Swan River. They are not only remarkable in themselves, but like the Eclipse Islands, are admirably situated for showing a ship's position when in with the coast. PEAKED HILL. We entered King George's Sound on November 2nd. I should here observe that Bald Head is connected with the main by a low piece of land, in the centre of which stands a small peak; this gives the head, from the offing to the southward, the appearance of an island. In the view annexed the reader will perceive a representation of the conspicuous headland called Peaked Hill, with its peculiar profile outline, lying about five miles south-west of Bald Head. Proceeding up the Sound we anchored in Princess Royal Harbour, Mount Clarence bearing North-North-East, and the south end of Michaelmas Island just open of Point Possession. The entrance to this great basin is by a narrow channel in the north-east corner; a long spit extending off the inner western entrance-point forms the chief impediment. Few vessels escape touching it; but although the passage is thus contracted the Beagle was worked through both ways. Inside, there is water sufficient for the largest ship in the navy; but only for a limited space, a short distance within the entrance--merely a hollow scooped out towards the north-west corner of the harbour. ALBANY.