From two supplements of the sun's meridian altitude to the north, the _latitude_ of our anchorage would be 10° 34' 12"; but the supplements observed on the 31st having given 1' 14" too far south, the correct latitude is taken to be 10° 32' 58". The _longitude_ from nine sets of distances of the sun west of the moon, was 142° 23'; but by the corrected time keeper, which I prefer, it was 142° 10½' east. To compare this longitude with that of captain Cook, it must be reduced to some point distinctly laid down by him, and I take Booby Island, which was in sight. According to that navigator, Booby Isle is in 140° 38' east (Hawkesworth, III, 214); whereas I made it to lie in 141° 57', or 1° 19' further east, a difference which certainly appears very extraordinary; but it is still more so, that the island should be laid down 63' of longitude to the west of the high, flat-topped York Isle, instead Of 43' or 44'. To show that the longitude by my time keeper was not much, if any thing too great, I have to observe, that in captain Bligh's manuscript chart of 1792, Mount Augustus is laid down from his time keepers in 142° 14'; and the mean of his lunar observations, taken eight days before and six days afterward, was 16' _more east_. My time keeper now placed Mount Augustus in 142° 18', or only 4' more east than captain Bligh's chart, consequently in 12' less than by his lunar observations; by which quantity it was also less than the nine sets of distances now taken by lieutenant Flinders. No run of tide was perceptible at the anchorage, from eight in the morning to two p.m.; but it then set westward, and continued so to do until four next morning, and was then running one knot and a half. The time of high water appeared by the soundings, to be nearly as they gave it at Wednesday Island. WEDNESDAY 3 NOVEMBER 1802 In the morning of the 3rd, the wind was moderate at E. S. E., and we made sail to get in with the main land to the south of the Prince of Wales' Islands. In hauling round the dry part of the shoal, we fell into 3 fathoms, and were obliged to steer round off; nor was it until after many attempts, and running four or five miles further to the south-westward, that the shoal would allow us to steer a southern course. At 8h 45', being then in 5 fathoms, Booby Isle bore, N. 56° W. Cape Cornwall, S. 58 E. Station on Good's Island, dist. 11 miles N. 54½ E. From hence we carried 6 to 7 fathoms until past ten, and afterwards irregular soundings between 3 and 9 fathoms, to noon; the latitude from a supplement to the north, with the same correction as applied on the 2nd, was then 10° 50' 44", and the bearings of the land were these;