Towards 10 A.M. steering East by South before a long rolling sea, we passed about six miles from the South-west Cape of Tasmania. There was no opportunity at the time of determining exactly the amount of error in the position assigned to it in the present charts, but we were satisfied that it was placed at least five miles too far south. The Maatzuyker Isles, a group a few miles to the south-east of this cape, are also incorrectly laid down. The view of this headland was of a very impressive and remarkable character, and to add to the usual effect of its lonely and solitary grandeur, a heavy sea still vexed and swelling from the turbulence of the recent gale, was breaking in monotonous regularity against its white and aged face; rising a thousand feet precipitously above the level of the sea, and terminating in a peak, rendered yet more conspicuous by a deep gap behind it. The adjacent coast had a singularly wild, bare, and storm-beaten appearance. We beheld the rugged and treeless sides of barren hills; and here and there, where vegetation struggled with sterility, its stunted growth and northern inclination caused by the prevailing winds testified to an ungenial clime; high, bare-faced peaks appeared occasionally through the thick clouds that girdled them, and the whole coastline forcibly reminded us of the dreary shores of Tierra del Fuego. BRUNY ISLAND LIGHTHOUSE. On opening d'Entrecasteaux Channel, we observed a splendid lighthouse erected by Sir John Franklin, on the South-West extremity of Bruny Island, and which serves to guide entering vessels clear of the shoals in the mouth of that channel, formerly fatal to so many a luckless voyager, wrecked within sight of the hoped-for shore, upon which he might never set his foot. The situation of the lighthouse appears admirably chosen, and it may readily be seen in the daytime, a wide gap being cut in the woodland behind it. In alluding to the great improvement in the navigation of d'Entrecasteaux Channel, by the erection of the lighthouse on Bruny Island, it must be remembered that we are indebted to the indefatigable exertions of Lieutenant Burnett, R.N., who had been appointed Marine Surveyor to the colony by the Admiralty, for a knowledge of the exact position of its dangers. In prosecuting this service, I grieve to say, his life was lost, by the upsetting of a boat in one of those sudden gusts of wind which sweep down the steep valleys on the sides of that channel. This sudden termination of Lieutenant Burnett's labours has been deplored alike by the colony, and by the profession of which he was so bright an ornament. We entered Storm Bay after dark against a strong North-West wind, which quite vindicated the title of the bay to the name it bears, and so much delayed our progress, that it was morning before we were abreast of the Iron Pot lighthouse at the entrance of the Derwent River, and after dark before we reached Sullivan's cove, Hobart.