The tides in Thirsty Sound were neaped at this time, and the rise, judging by the lead line, was from ten to twelve feet; but captain Cook says, "at spring tides the water does not rise less than sixteen or eighteen feet," which I have no doubt is correct. It ceases at ten hours and three quarters after the moon passes over and under the meridian.

On quitting Thirsty Sound we steered north-westward, to pass round a chain of rocks extending six miles out from Pier Head, and behind which there was a bight in Long Island, with some appearance of an opening. It was my intention to examine Broad Sound up to the furthest navigable part, and we hauled up between the north point of Long Island and a cluster of small isles lying three miles to the north-west; but finding the water too shallow, and that it would be more advantageous to begin the examination on the west side, I desired Mr. Murray to lead round the North-point Isles and across the sound. A small reef lies between four and five miles N. E. by E. from the largest and easternmost of these isles; it is covered at half tide, and therefore dangerous, but we had 7 to 8 fathoms at less than a mile distance, on the inside.

At noon, the depth was 8 fathoms, the largest North-point Isle, which is nearly separated into two, was distant four miles, and our situation was as under:

Latitude observed to the north, 21° 56' 17"
Pier Head top, bore S. 38 E.
Northumberland Island, peak marked 'h', N. 15 W.
North-point I., westernmost, highest part, S. 56 W.
North-point I., largest, S. 37 to 16 W.

In steering W. by N., rippling water was seen ahead at one o'clock. and the depth diminishing to 4 fathoms, we hauled a little to the southward and then resumed our course. This rippling seems to have been on a part of the same shoal near which captain Cook anchored in 3 fathoms; for it lies five miles from the North-point Isles, and as he says, "half way between them and three small islands which lie directly without them."

[EAST COAST. BROAD SOUND.]

Our course for the west side of Broad Sound passed close to some low, flat isles, lying to the south-east of the peaked West Hill set from Pier Head. At dusk I sought to anchor behind the hill, for it had the appearance of being separated from the main land; but the water being too shallow, we hauled off upon a wind. At ten o'clock, however, the breeze having become light and the sea gone down, an anchor was dropped in 5 fathoms, sandy bottom; whence the top of West Hill bore N. 68° W. three miles. A flood tide was found running from the N. N. E., one mile and a quarter per hour.

THURSDAY 9 SEPTEMBER 1802

In the morning I landed with the botanical gentlemen, and wished to ascend the top of the hill; but the brush wood was too thick to be penetrable. Upon a projecting head on the north-east side, I took a part, and about half way up the hill on the south-east side, the remainder of a set of bearings, which included many of the Northumberland Isles not before seen, and other of the Flat Isles within Broad Sound. The furthest visible part of the main land towards Cape Palmerston, was distant about five leagues, and behind it was a hill to which, from its form, I gave the name of Mount Funnel; the shore both to the north and south was low, and the Flat Isles to the southward of the ship were mostly over-run with mangroves. I did not go round West Hill, and could not see whether it were connected with the main land, or not; but if joined, it must be by a very low isthmus. The bearings at this station, most essential to the connection of the survey, were these:

Main coast, the extremes, N. 1° and S. 10° 45' E.
Pier Head, the top, S. 61 25 E.
Northumberland Isles, peak marked 'h', N. 61 45 E.
Northumberland Isles, high northmost marked 'i', dist. 11 L. N. 19 15 E.