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 ship at anchor 38° 31' 55" N. in the bay By a mean of seventeen sets of lunar 28 24 30 W. observations, and reduced to the bay by the watch, the longitude was made By a mean of six sets after leaving it, 28 53 22 and reduced back by the watch ----------------- Longitude by observation 28 38 56 ----------------- Ditto, by the watch 28 55 45 Error of the watch on our arrival at 16 26-1/2 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° 18' W. variation, and the evening after we came out 17° 33' W. I shall now give some account of the variation, as observed in our run from the island of Fernando De Noronha to Fayal. The least variation we found was 37' W. which was the day after we left Fernando De Noronha, and in the latitude of 33' S., longitude 32° 16' W. The next day, being nearly in the same longitude, and in the latitude of 1° 25' N., it was 1° 23' W.; and we did not find it increase till we got into the latitude of 5° N., longitude 31° W. After this our compasses gave different variation, viz. from 3° 57' to 5° 11' W. till we arrived in the latitude of 26° 44' N., longitude 41° W., when we found 6° W. It then increased gradually, so that in the latitude of 35° N., longitude 40° W., it was 10° 24' W.; in the latitude of 38° 12' N., longitude 32° 1/2 W. it was 14° 47'; and in sight of Fayal 16° 18' 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.