On the 2d of January, at day-break, we weighed anchor, and resumed our course to the north; having fine weather, and a gentle breeze at east, and east-south-east, till we got into the latitude of 7° 45ʹ N. and the longitude of 205° E., where we had one calm day. This was succeeded by a north-east by east, and east-north-east wind. At first it blew faint, but freshened as we advanced to the north. We continued to see birds every day, of the sorts last mentioned; sometimes in greater numbers than others; and between the latitude of 10° and 11°, we saw several turtle. All these are looked upon as signs of the vicinity of land. However, we discovered none till day-break, in the morning of the 18th, when an island made its appearance, bearing north-east by east; and, soon after, we saw more land bearing north, and entirely detached from the former. Both had the appearance of being high land. At noon, the first bore north-east by east, half east, by estimation about eight or nine leagues distant; and an elevated hill, near the east end of the other, bore north, half west. Our latitude, at this time, was 21° 12ʹ N.; and longitude 200° 41ʹ E. We had now light airs and calms, by turns; so that at sunset, we were not less than nine or ten leagues from the nearest land. On the 19th, at sunrise, the island first seen, bore east several leagues distant. This being directly to windward, which prevented our getting near it, I stood for the other, which we could reach; and not long after discovered a third island in the direction of west north-west, as far distant as land could be seen. We had now a fine breeze at east by north; and I steered for the east end of the second island; which at noon extended from north, half east, to west north-west, a quarter west, the nearest part being about two leagues distant. At this time, we were in some doubt whether or no the land before us was inhabited; but this doubt was soon cleared up, by seeing some canoes coming off from the shore, toward the ships. I immediately brought-to, to give them time to join us. They had from three to six men each; and, on their approach, we were agreeably surprised to find, that they spoke the language of Otaheite, and of the other islands we had lately visited. It required but very little address, to get them to come alongside; but no intreaties could prevail upon any of them to come on board. I tied some brass medals to a rope, and gave them to those in one of the canoes, who, in return, tied some small mackerel to the rope as an equivalent. This was repeated; and some small nails, or bits of iron, which they valued more than any other article, were given them. For these they exchanged more fish, and a sweet potatoe; a sure sign that they had some notion of bartering; or, at least, of returning one present for another. They had nothing else in their canoes, except some large gourd shells, and a kind of fishing-net; but one of them offered