In the morning at daylight, we could see nothing of the land or of the reefs. We bore away again and at nine o'clock saw the reefs. The sea broke furiously over every part, and we had no sooner got near to them than the wind came at east, so that we could only lie along the line of the breakers, within which we saw the water so smooth that every person already anticipated the heart-felt satisfaction he should receive as soon as we could get within them. I now found we were embayed for we could not lie clear with the sails, the wind having backed against us; and the sea set in so heavy towards the reef that our situation was become unsafe. We could effect but little with the oars, having scarce strength to pull them, and I began to apprehend that we should be obliged to attempt pushing over the reef. Even this I did not despair of effecting with success when happily we discovered a break in the reef, about one mile from us, and at the same time an island of a moderate height within it, nearly in the same direction, bearing west half north. I entered the passage with a strong stream running to the westward and found it about a quarter of a mile broad, with every appearance of deep water. On the outside the reef inclined to the north-east for a few miles, and from thence to the north-west: on the south side of the entrance it inclined to the south-south-west as far as I could see it, and I conjecture that a similar passage to this which we now entered may be found near the breakers that I first discovered which are 23 miles south of this channel. I did not recollect what latitude Providential channel* lies in, but I considered it to be within a few miles of this, which is situate in 12 degrees 51 minutes south latitude. (*Footnote. Providential Channel is laid down by Captain Cook in 12 degrees 34 minutes south, longitude 143 degrees 33 minutes east.) Being now happily within the reefs and in smooth water I endeavoured to keep near them to try for fish, but the tide set us to the north-west, I therefore bore away in that direction and, having promised to land on the first convenient spot we could find, all our past hardships seemed already to be forgotten. At noon I had a good observation by which our latitude was 12 degrees 46 minutes south, whence the foregoing situations may be considered as determined with some exactness. The island first seen bore west-south-west five leagues. This, which I have called the island Direction, will in fair weather always show the channel, from which it bears due west, and may be seen as soon as the reefs from a ship's masthead: it lies in the latitude of 12 degrees 51 minutes south. These however are marks too small for a ship to hit unless it can hereafter be ascertained that passages through the reef are numerous along the coast which I am inclined to think they are, in which case there would be little risk even if the wind was directly on the shore.