On the 3d of June, we saw land, about two points before the starboard beam; this proved to be two islands: at eight o'clock the next morning, we saw another island, bearing south 42 deg. 00' west; and by intersections taken by the ship's run, this last island was ten leagues distant; it was high land: at noon we determined that island in the south-west to be in latitude 1 deg. 36' south; longitude 145 deg. 35' east; and those to the northward, I judged to be in latitude 0 deg. 55' south; longitude 146 deg. 09' east. I think it probable that these islands may have been seen before, as in a general chart of these seas which I have seen, there are three islands laid down nearly in this situation. From those islands we steered to the north-west and west-north-west, with light and variable winds, and sometimes squally and very unsettled weather, with a disagreeable head-sea, against which we made very slow progress. On the 8th, at noon, by a considerable number of very good lunar distances, our longitude was found to be 144 deg. 13' east, which agreed so very near with our account carried on from the last observations, that I think the longitude of the different lands, as marked in this Journal, will not be found very erroneous. In this part of our passage, we saw many very large trees floating about the sea. We now found the ship had set fourteen or fifteen miles a day to the northward more than the log gave; and in the parallel of 4 deg. 00' north, or nearly, we found, that for the space of eight days, from the 19th, we had been set to the eastward at the rate of thirty-nine miles in the twenty-four hours; and there was much reason to fear, that from the next observations for the longitude which we might have, we should have the mortification to find, that this easterly current continued; for at that time, (the 28th of June,) the wind seemed to be set in from west-north-west to west-south-west. On the 30th died William Phillips, seaman. On the 5th of July, by observations of the sun and moon, we were in longitude 140 deg. 32' east, which was 10 deg. 10' eastward of our account, and the wind continued fixed from the westward. On the 11th of July, necessity obliged us to reduce the allowance of water; the whole allowance now to each man for all purposes, cooking, drinking, etc. was two purser's quarts for twenty-four hours, and the weather was exceedingly sultry, which made it the more distressing.