After having terminated our observations, we pursued a southerly course, in hopes of discovering more land, and sailed at a great rate during the whole of the day, without seeing any thing. At night we lay-to; but the following morning, the 9th of October, we had scarcely spread our sails, before the man at the mast-head discovered some low islands to the north, which we had already past, and which now lay to windward of us. I immediately changed our course, and endeavoured to approach them by dint of tacking, but a strong easterly current, which increased as we drew nearer to the land, almost baffled our efforts. We succeeded with much difficulty in getting within eleven miles and a half of the western extremity of the group, distinguished by a small round hill, which at noon lay due east, our latitude by observation being 11 deg. 30' 32", and our longitude 194 deg. 34'. From this point we could see the group, stretching to the verge of the horizon, in a south-easterly and north-easterly direction. We again attempted to approach them nearer; but not succeeding, we were obliged to continue our course to the westward, contenting ourselves with determining the position of the western extremity, 11 deg. 40' 11" latitude, and 194 deg. 37' 35" longitude, from which point they must stretch considerably to the east. These, like other coral islands, probably lie round a basin: of population we could see no trace, though there was every appearance of their being habitable. I named them, after our worthy Doctor and Professor, Eschscholtz, who was now making the second voyage with me. It is unnecessary to add any thing here respecting the situations of these three groups of isles, which have been laid down, with the greatest possible accuracy, in the chart accompanying this volume; one thing only I beg to observe, that they bear not the slightest resemblance to the Pescadores described by Wallis. He did not possess the facilities for ascertaining the longitude, which have been invented since his time. His Pescadores may be situated elsewhere; but even if one of these groups should be the Pescadores, we may justly claim the discovery of the other two. This discovery is of some value, inasmuch as these groups are no doubt the northern extremity of the Ralik chain; and their position and distance from Radak being now ascertained, there will hereafter be little difficulty in discovering the remaining groups of the chain.