This afternoon, at three o'clock, being the 2d of September, our little squadron sailed again, and in the evening saw a high peaked island lying north west, which we called Hawkesbury's Island. The passage through the north entrance is about two miles wide. After passing through it, saw a reef. As we approached it, we shallowed our water to three fathom; but on hauling up more to the south west, we deepened it again to six fathom. Saw several very large turtle, but could not catch any of them. After clearing the reef, stood to the westward. Mountainous Island bore N. half E.; Capt. Bligh's west island, which appears in Three Hummocks, N.N.W.; a rock N.W. at the S.W. extreme of the main land, S. and by E.; and the northernmost cape of New South Wales, S.S.E.; and to the extreme of the land in sight, the eastward E. half N. a small distance from the nearest of the Prince of Wales's Islands, we discovered another island, and which we called Christian's Island. Saw Two Hummock between Hawkesbury's Island and Mountainous Island; but could not be certain whether it was one or two islands. We now entered the great Indian ocean, and had a voyage of a thousand miles to undertake in our open boats. As soon as we cleared the land, we found a very heavy swell running, which threatened destruction to our little fleet; for should we have separated, we must inevitably perish for want of water, as we had not utensils to divide our slender stock. For our mutual preservation, we took each other in tow again; but the sea was so rough, and the swell running so high, we towed very hard, and broke a new tow-line. This put us in the utmost confusion, being afraid of dashing to pieces upon each other, as it was a very dark night. We again made fast to each other; but the tow-line breaking a second time, we were obliged to trust ourselves to the mercy of the waves. At five in the morning, the pinnace lay to, as the other boats had passed her under a dark cloud; but on the signal being made for the boats to join, we again met at day-light. At meridian, we passed some remarkable black and yellow striped sea snakes. On the afternoon of the 4th of September, gave out the exact latitude of our rendezvous in writing; also the longitude by the time-keeper at this present time, in case of unavoidable separation. On the night between the 5th and 6th, the sea running very cross and high, the tow-line broke several times; the boats strained, and made much water; and we were obliged to leave off towing the rest of the voyage, or it would have dragged the boats asunder. On the 7th, the Captain's boat caught a booby. They sucked his blood, and divided him into twenty-four shares.