t Tongataboo,
by the mean of several observations 21 deg. 8' 19"S.

The longitude, by the mean of one hundred
and thirty-one sets of lunar observations,
amounting to above a
thousand observed distances, between
the moon, son, and stars 184 deg. 55' 88"E.

The difference of longitude, made by
the time-keeper, between the above
observatory and that at Anamooka 0 16 0

Hence, the longitude of Annamooka is 185 11 18 E.
By the time {Greenwich rate 186 12 27
keeper it is {New Zealand rate 184 37 0
Its latitude 20 15 0

N.B. The observatory at Tongataboo was near the middle of the N. side of
the island, and that at Annamooka on its W. side.

The time-keeper was too slow for mean time at Greenwich, on the first of
July at noon, by 12h 34m 23',2; and her daily rate, at that time, was
losing on mean time 1',783 per day. This rate will now be used for
finding the longitude by the time-keeper, and 184 deg. 55' 18", or 12h 19m
41',2, will be taken as the true longitude of Tongataboo, E. from.
Greenwich.

By the mean of several observations, the S. end of the needle was found
to dip,

At Leefooga, one of the Hepaee islands 36 deg. 55'
Tongataboo 39 1 1/2
The variation of the compass was found to be

At Annamooka, on board 0 deg. 30' 3 1/2"E,
Anchor off Kotoo, between Annamooka
and Hepaee 0 12 29 1/2
Anchor off Leefooga 10 11 40
Tongataboo, on board 9 44 5 1/2
Ditto, on shore 10 12 58

I can assign no reason why the variation is so much less at and near
Annamooka, than at either of the two places. I can only say, that there
is no fault in the observations; and that the variation ought to be more
at Annamooka than the above, as it has been found to be so to the
northward, southward, eastward, and westward of it. But disagreements in
the variation, greater than this, even in the same needle, have been
often observed. And I should not have taken notice of this instance, but
from a belief that the cause, w