upon, and how near they would agree with those made upon the same spot in 1769, which fixed Matavai Point to be in 210 deg. 27’ 30”.  The difference, it appears, is only of 5’ 2”; 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 deg. 22’ 28”, or, which is the same thing, 208 deg. 25’ 22”, will be the longitude we shall reckon from with the time-keeper, allowing it to be losing, on mean time, 1,"69 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 deg. 18’ 58”
      {Tongataboo rate, 0 deg. 16’ 40”

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       Water at a stand       Mean Time    Perpendicular
the                                    of          rise
Month.          from      to        High Water.    Inches.

November 6.   11h 15m to 12h 20m     11h 48m       5,5
7.   11  40      1  00      12  20        5,2
8.   11  35     12  50      12  12        5,0
9.   11  40      1  16      12  28        5,5
10.   11  25      1  10      12  18        6,5
11.   12  00      1  40      12  20        5,0
12.   11  00      1  05      12  02        5,7
13.    9  30     11  40      10  35        8,0
14.   11  10     12  50      12  00        8,0
15.    9  20     11  30      10  25        9,2
16.   10  00     12  00      11  00        9,0
17.   10  45     12  15      11  30        8,5
18.   10  25     12  10      11  18        9,0
19.   11  00      1  00      12  00        8,0
20.   11  30      2  00      12  45        7,0
21.   11  00      1  00      12  00        8,0
22.   11  30      1  07      12  18        8,0
23.   12  00      1  30      12  45        6,5
24.   11  30      1  40      12  35        5,5
25.   11  40      1  50      12  45        4,7
26.   11  00      1  30      12  15        5,2

Having now finished all that occurs to me, with regard to these islands, which make so conspicuous a figure in the list of our discoveries, the reader will permit me to suspend the prosecution of my journal, while he peruses the following section, for which I am indebted to Mr Anderson.

SECTION IX.