On the 15th, by a good lunar observation, I found our longitude to be 152 deg. 43' east, which was twenty-five leagues farther from the coast than I expected we were. Every endeavour was exerted to get to the westward, and on the 19th in the evening, judging from the last observation, (the dead reckoning being out,) that we could not be above eight or nine leagues from the land, the wind being from the eastward, I made the signal and brought to with the convoy till day-light, when we made the land in latitude 34 deg. 50' south, six or seven leagues distant. We steered in slanting to the northward, until we were within about six or seven miles of the shore, and then steered along the coast at that distance, not choosing, as the wind was easterly, to carry the convoy nearer. At noon, we were abreast of Red-point, which is well determined by Captain Cook: I observed its latitude to be 34 deg. 29' south; this point being only ten leagues from Botany-bay, I made sail a-head of the convoy, in order if possible, to get sight of its entrance before night. There are a number of projecting points hereabout, which by being so near in shore deceived us a good deal; however, we perceived from the masthead before dark, what I had no doubt was the entrance of the bay, as we were now near its latitude; which is certainly the only true guide whereby you can find it; for the coast has nothing so remarkable in it as to serve for a direction for finding this harbour. About three leagues to the southward of Botany-bay, there is a range of whitish coloured cliffs on the coasts, which extend some distance farther south, and over these cliffs the land is moderately high and level; on this level land there is a small clump of trees, something like that on Post down hill, near Portsmouth: these, I think, are the only remarkable objects here. As soon as we had brought the entrance of the bay to bear north-north-west, we brought to, and made the signal for the convoy to pass in succession under the Sirius's stern, when they were informed, that I intended, as the wind was easterly, to keep working off under an easy sail till day-light, and that the entrance of the harbour bore north-north-west seven or eight miles; which I supposed they could not have been near enough to have seen before dark. The next morning being fair, with a south-east wind, we made sail at day-light for this opening, and, by signal, ordered the ships into the Sirius's wake. When the bay was quite open, we discovered the Supply and the three transports at an anchor; the former had arrived the 18th, and the three latter the 19th. At eight A. M. of the 20th, we anchored with the whole of the convoy in Botany-bay, in eight fathoms water.