of the main-land in sight bore S. 43 W., distant between four and five leagues, and appeared to be extremely low, the south-west point of the largest island on the north-west side of the passage bore N. 71 W., distant eight miles, and this point I called Cape Cornwall.  It lies in latitude 10 deg. 43’S., longitude 219 deg.  W.; and some lowlands that lie about the middle of the passage, which I called Wallis’s Isles, bore W. by S. 1/2 S., distant about two leagues:  Our latitude, by observation, was 10 deg. 46’ S. We continued to advance with the tide of flood W.N.W. having little wind, and from eight to five fathom water.  At half an hour after one, the pinnace, which was a-head, made the signal for shoal-water, upon which we tacked, and sent away the yawl to sound also:  We then tacked again, and stood after them:  In about two hours, they both made the signal for shoal-water, and the tide being nearly at its greatest height, I was afraid to stand on, as running aground at that time might be fatal; I therefore came to an anchor in somewhat less than seven fathom, sandy ground.  Wallis’s Islands bore S. by W. 1/2 W., distant five or six miles, the islands to the northward extended from S. 73 E. to N. 10 E., and a small island, which was just in sight, bore N.W. 1/2 W. Here we found the flood-tide set to the westward, and the ebb to the eastward.

After we had come to an anchor, I sent away the master in the long-boat to sound, who, upon his return in the evening, reported that there was a bank stretching north, and south, upon which there were but three fathom, and that beyond it there were seven.  About this time it fell calm, and continued so till nine the next morning, when we weighed with a light breeze at S.S.E.; and steered N.W. by W. for the small island which was just in sight, having first sent the boats a-head to sound:  The depth of water was eight, seven, six, five, and four fathom, and three fathom upon the bank, it being now the last quarter ebb.  At this time, the northermost island in sight bore N. 9 E., Cape Cornwall E., distant three leagues, and Wallis’s Isles S. 3 E., distant three leagues.  This bank, at least so much as we have sounded, extends nearly N. and S., but to what distance I do not know:  Its breadth is not more than half a mile at the utmost.  When we had got over the bank, we deepened our water to six fathom three quarters, and had the same depth all the way to the small island a-head, which we reached by noon, when it bore S., distant about half a mile.  Our depth of water was now five fathom, and the northermost land in sight, which is part of the same chain of islands that we had seen to the northward from the time of our first entering the streight, bore N. 71 E. Our latitude by observation was 10 deg. 33’ S., and our longitude 219 deg. 22’ W.:  In this situation no part of the main was in sight.  As we were now near the island, and had but little wind, Mr Banks and I landed upon it, and found it,