At noon, on the 19th, we were about four miles from the land, with only thirteen fathom. Our latitude was 25° 4ʹ, and the northernmost land in sight bore N. 21 W., distant eight miles. At one o’clock, being still four miles distant from the shore, but having seventeen fathom water, we passed a black bluff head, or point of land, upon which a great number of the natives were assembled, and which therefore I called INDIAN HEAD: it lies in latitude 25° 3ʹ. About four miles N. by W. of this head is another very like it, from whence the land trends away somewhat more to the westward: next to the sea it is low and sandy, and behind it nothing was to be seen, even from the mast-head. Near Indian Head we saw more of the natives, and upon the neighbouring shore fires by night, and smoke by day. We kept to the northward all night, at the distance of from four miles to four leagues from the shore, and with a depth of water from seventeen to thirty-four fathom. At day-break, the northernmost land bore from us W. S. W., and seemed to end in a point, from which we discovered a reef running out to the northward as far as we could see. We had hauled our wind to the westward before it was light, and continued the course till we saw the breakers upon our lee-bow. We now edged away N. W. and N. N. W. along the eastside of the shoal, from two to one mile distant, having regular soundings from thirteen to seven fathom, with a fine sandy bottom. At noon our latitude, by observation, was 20° 26ʹ, which was thirteen miles to the northward of the log: we judged the extreme point of the shoal to bear from us about N. W., and the point from which it seemed to run out bore S. ¾ W., distant twenty miles. This point I named SANDY CAPE, from two very large patches of white sand which lay upon it. It is sufficiently high to be seen at the distance of twelve leagues, in clear weather, and lies in latitude 24° 45ʹ, longitude 206° 51ʹ: the land trends from it S. W. as far as can be seen. We kept along the east side of the shoal till two in the afternoon, when, judging that there was a sufficient depth of water upon it to allow passage for the ship, I sent the boat a-head to sound, and upon her making the signal for more than five fathom, we hauled our wind, and stood over the tail of it in six fathom. At this time we were in latitude 24° 22ʹ, and Sandy Cape bore S. ½ E., distant eight leagues; but the direction of the shoal is nearest N. N. W. and S. S. E. It is remarkable that when on board the ship we had six fathom, the boat, which was scarcely a quarter of a mile to the southward, had little more than five, and that immediately after six fathom we had thirteen, and then twenty, as fast as the man could cast the lead: from these circumstances, I conjectured that the west side of the shoal was steep. This shoal I called the BREAK SEA SPIT, because we had now smooth water, and to the southward of it we had always a high sea from the S. E. At