The distance between Fayal and Flores was confirmed by Mr. Rebiers, lieutenant of the French frigate, who told me, that, after being by estimation two leagues due south of Flores, they made forty-four leagues, on a S. E. by E., course by compass, to St. Catherine’s Point, on Fayal. I found the latitude of the } 38° 31ʹ 55ʺ N. ship at anchor in the bay } By a mean of seventeen sets } of lunar observations, taken} before we arrived, } and reduced to the bay by } 28 24 30 W. the watch, the longitude } was made } By a mean of six sets after } leaving it, and reduced } 28 53 22 back by the watch } Longitude by observation 28 38 56 ---------------- Ditto, by the watch: 28 55 45 Error of the watch on our } -- 16 26-1/2 arrival at Portsmouth } ---------------- True longitude by the watch 28 39 18-1/2 ---------------- I found the variation of the compass, by several azimuths, taken by different compasses on board the ship, to agree very well with the like observations made by Mr. Wales on shore; and yet the variation thus found, is greater by 5°, than we found it to be at sea; for the azimuths taken on board, the evening before we came into the bay, gave no more than 16° 18ʹ west variation, and the evening after we came out, 17° 33ʹ west. I shall now give some account of the variation, as observed in our run from the Island of Fernando De Noronho, to Fayal. The least variation we found was 37ʹ W., which was the day after we left Fernando De Noronho, and in the latitude of 33ʹ S., longitude 32° 16ʹ W. The next day, being nearly in the same longitude, and in the latitude of 1° 25ʹ N. it was 1° 23ʹ west; and we did not find it increase till we got into the latitude of 5° N., longitude 31° west. After this our compasses gave different variations, viz. from 3° 57ʹ to 5° 11ʹ W. till we arrived in the latitude of 26° 44ʹ north, longitude 41° west, when we found 6° west. It then increased gradually, so that in the latitude of 35° N. longitude 40° W., it was 10° 24ʹ W.; in the latitude of 38° 12ʹ N., longitude 32-1/2° W., it was 14° 47ʹ; and in sight of Fayal 16° 18ʹ W., as mentioned above. Having left the bay at four in the morning of the 19th, I steered for the west end of St. George’s Island. As soon as we had passed it, I steered E. 1/2 S. for the Island of Tercera; and after having run thirteen leagues, we were not more than one league from the west end. I now edged away for the north side, with a view of ranging the coast to the eastern point, in order to ascertain the length of the island; but the weather coming on very thick and hazy, and night approaching, I gave up the design, and proceeded with all expedition for England.