On the 1st of January, being then in the latitude of 48° 41' S. longitude 76° 50' E., the variation was 30° 39' W.; and in the next day, in the latitude of 48° 22' S. longitude 80° 22' E., it was 30° 47' 18" W. This was the greatest variation we found in this passage; for afterward it began to decrease, but so slowly, that on the 3d, in the evening, being then in the latitude of 48° 16' S. longitude 85° E., it was 29° 38' W.

Thus far we had fresh gales from the W. and S.W., and tolerably clear weather. But now the wind veered to the N. where it continued eight days, and was attended with a thick fog. During this time we ran above 300 leagues in the dark. Now and then the weather would clear up, and give us a sight of the sun; but this happened very seldom, and was always of short continuance. On the 7th I hoisted out a boat, and sent an order to Captain Clerke, appointing Adventure Bay, in Van Diemen's Land, as our place of rendezvous, in case of separation before we arrived in the meridian of that land. But we were fortunate enough, amidst all this foggy weather, by frequently firing guns as signals, though we seldom saw each other, not to lose company.

On the 12th, being in the latitude of 48° 40' S. longitude 110° 26' E. the northerly winds ended in a calm; which, after a few hours, was succeeded by a wind from the southward. This, with rain, continued for twenty-four hours, when it freshened, and veered to the W. and N.W., and brought on fair and clear weather.

We continued our course to the eastward, without meeting with any thing worthy of notice, till four o'clock in the morning of the 19th, when, in a sudden squall of wind, though the Discovery received no damage, our fore-top-mast went by the board, and carried the main-top-gallant-mast with it. This occasioned some delay, as it took up the whole day to clear the wreck, and fit another top-mast. The former was accomplished without losing any part of it, except a few fathoms of small rope. Not having a spare main-top-gallant-mast on board, the fore-top-gallant-mast was converted into one for our immediate use.

The wind continued westerly, blew a fresh gale, and was attended with clear weather, so that scarcely a day passed without being able to get observations for fixing the longitude, and the variation of the compass. The latter decreased in such a manner, that in the latitude of 44° 18' S. longitude 132° 2' E., it was no more than 5° 34' 18" W.; and on the 22d, being then in the latitude of 43° 27' S. longitude 141° 50' E., it was 1° 24' 15" E. So that we had crossed the Line where the compass has no variation.

On the 24th, at three o'clock in the morning, we discovered the coast of Van Diemen's Land, bearing N. 1/2 W. At four o'clock the S.W. cape bore N.N.W. 1/2 W., and the Mewstone N.E. by E. three leagues distant. There are several islands and high rocks lying scattered along this part of the coast, the southernmost of which is the Mewstone. It is a round elevated rock, five or six leagues distant from the S.W. cape, in the direction of S. 55° E.

At noon, our latitude was 43° 47' S. longitude 147° E., and the situation of the lands round us as follows: An elevated round-topped hill bore N. 17° W.; the S.W. cape N. 74° W.; the Mewstone W. 1/2 N.; Swilly Isle, or Rock, S. 49° E.; and the S.E. of S. cape N. 40° E. distant near three leagues. The land between the S.W. and S. capes is broken and hilly, the coast winding, with points shooting out from it; but we were too far off to be able to judge whether the bays formed by these points were sheltered from the sea-winds. The bay which appeared to be the largest and deepest, lies to the westward of the peaked hill above mentioned. The variation of the compass here was 5° 15' E.

At six o'clock in the afternoon we sounded, and found sixty fathoms water, over a bottom of broken coral and shells. The S. cape then bore N. 75° W. two or three leagues distant; Tasman's Head N.E.; and Swilly Rock S. by W 1/2 W. About a league to the eastward of Swilly is another elevated rock, that is not taken notice of by Captain Furneaux. I called it the Eddystone, from its very great resemblance to that light-house. Nature seems to have left these two rocks here for the same purpose that the Eddystone light-house was built by man, viz. to give navigators notice of the dangers around them; for they are the conspicuous summits of a ledge of rocks under water, on which the sea, in many places, breaks very high. Their surface is white with the dung of sea-fowls; so that they may be seen at some distance even in the night. On the N.E. side of Storm Bay, which lies between the S. cape and Tasman's Head, there are some coves or creeks, that seemed to be sheltered from the sea-winds; and I am of opinion, that, were this coast examined, there would be found some good harbours.

Soon after we had sight of land the westerly winds left us, and were succeeded by variable light airs and alternate calms, till the 26th at noon. At that time a breeze sprung up and freshened at S.E. which put it in my power to carry into execution the design I had, upon due consideration, formed, of carrying the ships into Adventure Bay, where I might expect to get a supply of wood and of grass for the cattle; of both which articles we should, as I now found, have been in great want if I had waited till our arrival in New Zealand. We therefore stood for the bay, and anchored in it at four o'clock in the afternoon, at twelve fathoms water, over a bottom of sand and ooze. Penguin Island, which lies close to the E. point of the bay, bore N. 84° E.; the southernmost point of Maria's Islands bore N. 76° 1/2 E.; and Cape Frederick Henry, or the N. point of the bay, bore N. 33° E. Our distance from the nearest shore was about three quarters of a mile.

As soon as we had anchored, I ordered the boats to be hoisted out. In one of them I went myself to look for the most commodious place for furnishing ourselves with the necessary supplies; and Captain Clerke went in his boat upon the same service. Wood and water we found in plenty, and in situations convenient enough, especially the first. But grass, of which we stood most in need, was scarce, and also very coarse. Necessity, however, obliged us to take such as we could get.