The time-keeper was too slow for mean time at Greenwich, on the first of July at noon, by 12^h 34^m 33^s,2; and her daily rate, at that time, was loosing, on mean time, 1^m,783 _per_ day. This rate will now be used for finding the longitude by the time-keeper; and 184° 55ʹ 18ʺ, or 12^h 19^m 41^s,2, will be taken as the true longitude of Tongataboo, east from Greenwich. By the mean of several observations, the south end of the needle was found to dip {Lefooga, one of the Hapaee At { islands, 36° 55ʹ {Tongataboo, 39 1-1/2 The variation of the compass was found to be, {Annamooka, on board, 8° 30ʹ 3-1/2ʺ east. {Anchor off Kotoo, between } At { Annamooka and Hapaee, } 8 12 29-1/2 {Anchor off Lefooga, 10 11 40 {Tongataboo, on board, 9 44 5-1/2 {Ditto, on shore, 10 12 58 The variation of the compass was found to be, I can assign no reason why the variation is so much less at and near Annamooka, than at either of the other 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, whatever it is, exists in the place, and not in the needles; for Mr. Bayly found the same, or rather more difference.