Sunday, 2nd. A fresh Trade wind and fine pleasant weather. At Noon saw a Large flock of Birds; they had brown backs and white Bellies. They fly and make a noise like Stearings, and are shaped like them, only something larger. Saw likewise some black Sheerwaters and Several Man-of-War birds. Wind East; course North 86 degrees 30 minutes West; distance 118 miles; latitude 19 degrees 0 minutes South, longitude 135 degrees 33 minutes West.

Monday, 3rd. First and Latter parts a steady fresh Breeze and cloudy; the Middle, sometimes squally with rain, at other times little wind. P.M. saw 2 Birds like Albetrosses; they were all white except the Tip of their wings and Tails. Wind East; course North 82 degrees 45 minutes West; distance 110 miles; latitude 18 degrees 46 minutes South, longitude 137 degrees 29 minutes West.

Tuesday, 4th. A Steady fresh Trade and clear weather. At 1/2 past 10 a.m. saw land bearing south, distance 3 or 4 Leagues. Haul'd up for it, and soon found it to be an Island of about 2 Leagues in Circuit and of an Oval form, with a Lagoon in the Middle, for which I named it Lagoon Island. The Border of land Circumscribing this Lagoon is in many places very low and narrow, particularly on the south side, where it is mostly a Beach or Reef of rocks; it is the same on the North side in 3 places, and these disjoins the firm land and make it appear like so many Islands covered with wood. On the West end of the Island is a large Tree which looks like a large Tower, and about the Middle of the Island are two Cocoa Nutt Trees that appears above all the other wood, which as we approached the Island looked very much like a flag. We approached the north side of this Island within a Mile, and found no Bottom with 130 fathoms of line, nor did there appear to be Anchorage about it. We saw several of the Inhabitants, the most of them men, and these Marched along the shore abreast of the Ships with long Clubs in their hands as tho' they meant to oppose our landing. They were all naked except their Privy parts, and were of a Dark Copper Colour with long black Hair, but upon our leaving the Island some of them were seen to put on a Covering, and one or two we saw in the Skirts of the Wood was Cloathed in White; these we supposed to be Women. This Island lies in the Latitude of 18 degrees 47 minutes and Longitude 139 degrees 28 minutes West from the Meridian of Greenwich;* (* This island is Vahitahi, one of the Paumotu or Low Archipelago.) variation 2 degrees 54 minutes East. Wind East, East by South; course North 88 degrees West; distance 114 miles; latitude 18 degrees 42 minutes South, longitude 139 degrees 29 minutes West.

Wednesday, 5th. A fresh steady gale and fine weather. At 1 p.m. made Sail to the Westward, and at 1/2 past 3 saw land to the North-West, which we got up with at Sun sett and proved to be a low woody Island of a Circular form, and not much above a Mile in Compass. This Island I called Thrum Cap* (* Akiaki. It is inhabited.); it lies in the Latitude of 18 degrees 35 minutes South and in the Longitude of 139 degrees 48 minutes West from Greenwich, and North 62 degrees West, 7 Leagues from Lagoon Island. We saw no inhabitants, nor the appearance of any, and yet we were within 1/2 a Mile of the Shore. I observed by the Shore that it was near low Water, and at Lagoon Island I observed that it was either high Water or else there was no Ebbing and flowing of the Sea. From these Circumstances I infer that a South by East or South Moon makes high Water. Here we caught a King Fish, being the first fish we have got in these Seas. Wind East; course North 77 degrees 30 minutes West; distance 79 miles; latitude 18 degrees 25 minutes South, longitude 140 degrees 51 minutes West.

Thursday, 6th. A fresh Trade and fine Pleasant weather. At 3 p.m. Saw land to the Westward, which proved to be an Island of about 12 or 15 Leagues in Compass; is very low and entirely drown'd in the Middle, forming there a large lake, into which there appeared to be no inlet. The border of land and Reef surrounding this lake like a wall appeared to be of a Bow-like figure, for which reason I named it Bow Island. The South side, along which we sail'd, was one continued low narrow Beach or Reef like a Causeway for 4 Leagues and upwards, and lies East by North and West by South. The East and West Ends and North side of this Island are wooded-in Groves, and the firm Land appeared disjoined and like a Number of Islands, and very probably is so. The North-West parts of the Island we only saw aCross the Lake, and not very distinct on account of its great extent, and night coming on before we had run the whole length of the Island. This description must be imperfect, and the whole Island may form a Different figure to what I have here described.* (* Hao. It is a large atoll, thirty miles in length. Cook only saw a portion of it.) The east end lies in the Latitude of 18 degrees 23 minutes South, and Longitude 141 degrees 12 minutes West from Greenwich. Variation 5 degrees 38 minutes East. This Island is Inhabited; we not only saw smook in Different Parts, but people also. At Noon saw Land to the Westward. Wind east; course North 85 degrees West; distance 94 miles; latitude 18 degrees 19 minutes South, longitude 142 degrees 29 minutes West.

Friday, 7th. Fresh Gales and Cloudy. At 1/2 past 2 p.m. got up with the East end of the Land seen yesterday at Noon, and which proved to be an assemblage of Islands join'd together by Reef, and extending themselves North-West by North and South-East by South in 8 or 9 Leagues and of various breadths; but there appeared to be a total Seperation in the middle by a Channell of half a Mile broad, and on this account they are called the two Groups.* (* Marokau and Ravahare. Two atolls close together.) The South Eastermost of them lies in the Latitude of 18 degrees 12 minutes and Longitude of 142 degrees 42 minutes West from Greenwich, and West 1/2 North distant 25 Leagues from the West end of Bow Island. We ranged along the South-West side of this Island, and hauled into a Bay which lies to the North-West of the Southermost point of them, and where there appeared to be Anchorage and the Sea was smooth and not much Surf on the Shore; but we found no ground with 100 fathoms 3/4 of a Mile from the Shore, and nearer we did not go. Here several of the Inhabitants assembled together with their Canoes, with a design, as we thought, to come off to us, as they hauld one of them over the reef seemingly for that purpose; but after waiting near 1/2 an hour, and they not attempting to come, we bore away and made Sail, and presentley the Canoe put off after us; but, as we did not stop, they soon went back again. They were in all respects like those we had seen on Lagoon Island, and Armed with Clubs and long Pikes like them. At 1/2 past 6 a.m. Saw a small Island to the Northward, hauled our wind for it, and soon got close in with it. It is about 3 or 4 Miles in Circuit, and very low, with a Pond in the Middle. There is some wood upon it, but no inhabitants but Birds, and for this reason is called Bird Island.* (* Reitoru.) It lies in the latitude 17 degrees 48 minutes and longitude 143 degrees 35 minutes West, and West 1/2 North 10 Leagues from the West end of the two Groups. The birds we saw were Men-of-War Birds and several other sorts. Wind East; course North 66 degrees West; distance 66 miles; latitude 17 degrees 48 minutes South, longitude 143 degrees 31 minutes West.

Saturday, 8th. Fresh Trade and pleasant weather, but about noon had a few flying showers of rain. Variation 6 degrees 32 minutes East. Wind East by South and East; course North 87 degrees West; distance 100 miles; latitude 17 degrees 43 minutes South, longitude 145 degrees 16 minutes West.

Sunday, 9th. A steady fresh gale and pleasant weather. At 2 p.m. saw Land to the Northward, hauld up for it, and found it to be a double range of low woody islands joined together by reefs, by which means they make one Island in form of an Ellipsis or Oval, in the Middle of which is a Salt water lake. The small Islands and reefs circumscribes or bounds this lake like a Chain; it is therefore called Chain Island.* (* Anaa.) It is in length, North-West and South-East, about 5 Leagues, and in breadth about 5 Miles. The middle of it lies in the Latitude of 17 degrees 23 minutes South, and Longitude 145 degrees 54 minutes West, and West by North 45 Leagues from Bird Island. Variation per Several Azimuths 4 degrees 54 minutes East. Wind East by North to North by East; course West, Northerly; distance 81 miles; latitude 17 degrees 42 minutes South, longitude 146 degrees 40 minutes West.

Monday, 10th. P.M. moderate breezes and cloudy; in the Night, dark, cloudy, unsettled weather, with very much Thunder, Lightning, and rain. A.M. little wind and fair. P.M. variation per Several Azimuths 5 degrees 41 minutes East. At 8 a.m. saw Osnaburg Island* (* Maitea, the easternmost of the Society Islands, which are all high, and a great contrast to the low coral atolls of the Paumotus.) (so called by Captain Wallis, the first discoverer) bearing North-West by West, distance 4 or 5 Leagues. It is a high round Island, and appears to be not above a League in Circuit, and when it bears as above it looks like a high Crown'd Hatt, but when it bears North the Top is more like the roof of a House. It lies in the Latitude of 17 degrees 48 minutes South and Longitude 148 degrees 10 minutes West, and West by South, 44 Leagues, from Chain Island. Wind North-North-West, variable, North-West by North; course South 13 degrees West; distance 67 miles; latitude 18 degrees 00 minutes South, longitude 147 degrees 47 minutes West; at noon, Osnaburg Island North by West 1/2 West, 5 leagues.

[Arrive at Tahiti.]