The longitude of the three several places is deduced from the mean of 145 sets of observations made on shore; some at one place, and some at another; and carried on to each of the stations by the time-keeper. As the situation of these places was very accurately settled during my former voyages, the above observations were now made chiefly with a view of determining how far a number of lunar observations might be depended upon, and how near they would agree with those made upon the same spot in 1769, which fixed Matavai Point to be 201° 27ʹ 30ʺ. The difference, it appears, is only of 5ʹ 2ʺ; and, perhaps, no other method could have produced a more perfect agreement. Without pretending to say which of the two computations is the nearest the truth, the longitude of 210° 22ʹ 28ʺ, or, which is the same thing, 208° 25ʹ 22ʺ, will be the longitude we shall reckon from with the time-keeper, allowing it to be losing, on mean time, 1.ʺ69 each day, as found by the mean of all the observations made at these islands for that purpose. On our arrival at Otaheite, the error of the time-keeper in longitude was, by { Greenwich rate, 1° 18ʹ 58ʺ { Tongataboo rate, 0° 16ʹ 40ʺ Some observations were also made on the tide; particularly at Otaheite and Ulietea; with a view of ascertaining its greatest rise at the first place. When we were there, in my second voyage, Mr. Wales thought he had discovered that it rose higher than I had observed it to do, when I first visited Otaheite in 1769. But the observations we now made, proved that it did not; that is, that it never rose higher than twelve or fourteen inches at most. And it was observed to be high-water nearly at noon, as well at the quadratures, as at the full and change of the moon. To verify this, the following observations were made at Ulietea: Day of Mean time Perpendicular the Water at stand, of rise. Month. from to High Water. Inches.