A little after noon, other islands appeared, and at a quarter past three o'clock we could count eight, bearing from S round by the west to N W by N; those to the south, which were the nearest, being four leagues distant from us. I kept my course to the N W by W, between the islands, and at six o'clock discovered three other small islands to the N W, the westernmost of them bore N W 1/2 W 7 leagues. I steered to the southward of these islands, a W N W course for the night, under a reefed sail. Served a few broken pieces of bread-fruit for supper, and performed prayers. The night turned out fair, and, having had tolerable rest, every one seemed considerably better in the morning, and contentedly breakfasted on a few pieces of yams that were found in the boat. After breakfast we prepared a chest for our bread, and it got secured: but unfortunately a great deal was damaged and rotten; this nevertheless we were glad to keep for use. I had hitherto been scarcely able to keep any account of our run; but we now equipped ourselves a little better, by getting a log-line marked, and, having practised at counting seconds; several could do it with some degree of exactness. [Sidenote: 1789. MAY 5.] The islands I have passed lie between the latitude of 19 deg. 5' S and 18 deg. 19' S, and, according to my reckoning, from 3 deg. 17' to 3 deg. 46' W longitude from the island Tofoa: the largest may be about six leagues in circuit; but it is impossible for me to be very exact. To show where they are to be found again is the most my situation enabled me to do. The sketch I have made, will give a comparative view of their extent. I believe all the larger islands are inhabited, as they appeared very fertile. At noon I observed, in latitude 18 deg. 10' S, and considered my course and distance from yesterday noon, N W by W 1/2 W, 94 miles; longitude, by account, from Tofoa 4 deg. 29' W. For dinner, I served some of the damaged bread, and a quarter of a pint of water. [Sidenote: Wednesday 6.] Wednesday, 6th May. Fresh breezes E N E, and fair weather, but very hazy. About six o'clock this afternoon I discovered two islands, one bearing W by S 6 leagues, and the other N W by N 8 leagues; I kept to windward of the northernmost, and passing it by 10 o'clock, I resumed my course to the N W and W N W. At day-light in the morning I discovered a number of other islands from S S E to the W, and round to N E by E; between those in the N W I determined to pass. At noon a small sandy island or key, 2 miles distant from me, bore from E to S 3/4 W. I had passed ten islands, the largest of which may be 6 or 8 leagues in circuit. Much larger lands appeared in the S W and N by W, between which I directed my course. Latitude observed 17 deg. 17' S; course since yesterday noon N 50 deg. W; distance 84 miles; longitude made, by account, 5 deg. 37' W. [Sidenote: 1789. MAY 6.]