On the 31st, at noon, the S. or S. W. point of the island bore N. 62° East, distant four leagues. This forms the N. W. point of what I call Bougainville’s Passage; the N. E. point, at this time, bore N. 85° East, and the N. W. end of Mollicollo from S. 54° East to S. 72° East. Latitude observed, 15° 45ʹ S. In the afternoon, in stretching to the east, we weathered the S. W. point of the island, from which the coast trends east northerly. It is low, and seemed to form some creeks or coves; and, as we got farther into the passage, we perceived some small low isles lying along it, which seemed to extend behind St. Bartholomew Island. Having now finished the survey of the whole archipelago, the season of the year made it necessary for me to return to the south, while I had yet some time left to explore any land I might meet with between this and New Zealand; where I intended to touch, that I might refresh my people, and recruit our stock of wood and water for another southern course. With this view, at five P. M. we tacked, and hauled to the southward, with a fresh gale at S. E. At this time the N. W. point of the passage, or the S. W. point of the island Tierra del Espiritu Santo, the only remains of Quiros’s continent, bore N. 82° West, distant three leagues. I named it Cape Lisburne, and its situation is in latitude 15° 40ʹ, longitude 165° 59ʹ East. The foregoing account of these islands, in the order in which we explored them, not being particular enough either as to situation or description, it may not be improper now to give a more accurate view of them, which, with the annexed chart, will convey to the reader a better idea of the whole group. The northern islands of this archipelago were first discovered by that great navigator, Quiros, in 1606; and, not without reason, were considered as part of the southern continent, which, at that time, and until very lately, was supposed to exist. They were next visited by M. de Bougainville, in 1768; who, besides landing on the Isle of Lepers, did no more than discover that the land was not connected, but composed of islands, which he called the Great Cyclades. But as, besides ascertaining the extent and situation of these islands, we added to them several new ones which were not known before, and explored the whole, I think we have obtained a right to name them; and shall in future distinguish them by the name of the New Hebrides. They are situated between the latitude of 14° 29ʹ and 20° 4ʹ South, and between 166° 41ʹ and 170° 21ʹ East longitude, and extend an hundred and twenty-five leagues in the direction of N. N. W. 1/2 West, and S. S. E. 1/2 East. The most northern island is that called by M. de Bougainville Peak of the Etoile. It is situated, according to his account, in latitude 14° 29ʹ, longitude 168° 9ʹ; and, N. by W., eight leagues from Aurora.