The direction of the coast, which had been from north to north-west the day before, was now again W. N. W.; and after making a tack at noon, in 3 fathoms, and stretching off for an hour, we lay along it till near eight o'clock. At that time the depth diminished from 3½, suddenly to 2½ fathoms; and before the helm was put down the ship touched upon a rock, and hung abaft. By keeping the sails full she went off into 3 fathoms, but in five minutes hung upon another rock; and the water being more shallow further on, the head sails were now laid aback. On swinging off, I filled to stretch out by the way we had come; and after another slight touch of the keel we got into deep water, and anchored in 4 fathoms, on a bottom of blue mud. The bad state of the ship would have made our situation amongst these rocks very alarming, had we not cleared them so quickly; but the water was very smooth at this time, and it could not be perceived that any injury had been sustained. Our distance here from the shore was three miles. It is very low and broken, with many dry rocks and banks lying near it; and in the space of seven or eight miles we had counted five small openings, and behind them some lagoons were perceived from the mast head. _The Abel Tasman's River_ of the old chart is marked in about this situation; and however little these shallow openings and salt lagoons resemble a river, there is no other place to which the name could have been applied. I was preparing to take altitudes of the star _Rigel_, to ascertain our longitude at this anchorage, when it was found that the time keepers had stopped, my assistant having forgotten to wind them up at noon. In the morning [SUNDAY 12 DECEMBER 1802] they were set forward, and altitudes of the sun taken to find their errors from the time under this meridian. The moon and planet Mars had been observed in the night, from which, and the noon's observation following, the latitude of the anchorage was ascertained to be 16° 7½'; and a projection on the west side of the R. Van Alphen, which had been the nearest shore at the preceding noon, was now set at S. 64½° E. From these _data_ and from the log, I ascertained the difference of longitude, from half past ten in the morning of the 11th, when the last observations for the time keepers had been taken, to be 20' 18"; and that this anchorage was in 137° 37' 18" east. The errors from mean Greenwich time were thence obtained; and they were carried on as before, with the rates found at Sweers' Island, which it was to be presumed, had undergone no alteration from the letting down, since none had been caused by former accidents of the same kind. An amplitude taken when the ship's head was W. N. W., gave variation 3° 46', or 1° 47' east, corrected to the meridian; being nearly a degree less than on the east side of the River Van Alphen, when the land lay to the west of the ship.