At noon I observed in the latitude of 11 deg. 18' S, the cape bearing W, distant ten miles. Five small keys bore from N E to S E, the nearest of them about two miles distant, and a low sandy key between us and the cape bore W, distant four miles. My course from the Lagoon Island N 1/2 W, distant 30 miles. I am sorry it was not in my power to obtain a sufficient knowledge of the depth of water; for in our situation nothing could be undertaken that might have occasioned delay. It may however be understood, that, to the best of my judgment, from appearances, a ship may pass wherever I have omitted to represent danger. I divided six birds, and issued one 25th of a pound of bread, with half a pint of water, to each person for dinner, and I gave half a glass of wine to Mr. Nelson, who was now so far recovered as to require no other indulgence. The gunner, when he left the ship, brought his watch with him, by which we had regulated our time till to-day, when unfortunately it stopped; so that noon, sun-rise, and sun-set, are the only parts of the 24 hours of which I can speak with certainty, as to time. [Sidenote: Wednesday 3.] Wednesday, June the 3d. Fresh gales S S E and S E, and fair weather. As we stood to the N by W this afternoon, we found more sea, which I attributed to our receiving less shelter from the reefs to the eastward: it is probable they do not extend so far to the N as this; at least, it may be concluded that there is not a continued barrier to prevent shipping having access to the shore. I observed that the stream set to the N W, which I considered to be the flood; in some places along the coast, we saw patches of wood. At five o'clock, steering to the N W, we passed a large and fair inlet, into which, I imagine, is a safe and commodious entrance; it lies in latitude 11 deg. S: about three leagues to the northward of this is an island, at which we arrived about sun-set, and took shelter for the night under a sandy point, which was the only part we could land at: I was therefore under the necessity to put up with rather a wild situation, and slept in the boat. Nevertheless I sent a party away to see what could be got, but they returned without any success. They saw a great number of turtle bones and shells, where the natives had been feasting, and their last visit seemed to be of late date. The island was covered with wood, but in other respects a lump of rocks. We lay at a grapnel until day-light, with a very fresh gale and cloudy weather. The main bore from S E by S to N N W 1/2 W, three leagues; and a mountainous island, with a flat top, N by W, four or five leagues: several others were between it and the main. The spot we were on, which I call Turtle Island; lies in latitude, by account, 10 deg. 52' S, and 42 miles W from Restoration Island. Abreast of it the coast has the appearance of a sandy desert, but improves about three leagues farther to the northward, where it terminates in a point, near to which is a