On the 29th, the wind still continuing contrary, we made but slow progress to the southward. At midnight, we had thick foggy weather, accompanied with a breeze from the north north-west, with which we directed our course to the south south-east, through the straits, and had no land in sight till seven in the evening of the 30th; when the fog clearing away, we saw Cape Prince of Wales bearing south by east, distant about six leagues; and the island St. Diomede south-west by west. We now altered our course to the west, and at eight made the east cape, which, at midnight, bore west by north, distant four leagues. In the night we steered to the south south-west, with a fresh west north-westerly breeze; and, at four in the morning of the 31st, the east cape bore north north-east, and the north-east part of the bay of St. Laurence (where we anchored the last year) west by south, its distance being four leagues. As we could not have worked up to windward without a greater waste of time, than the object appeared to deserve, we ran across the bay, regretting much, as we passed along, the loss of this opportunity of paying a second visit to the Tschutski. At noon our latitude, by observation, was 65° 6ʹ, and longitude 189°. The south point of the bay of St. Laurence bore north by west one quarter west, and was distant seven or eight leagues. In the afternoon the variation was found to be 22° 50ʹ east. Having now passed Beering’s Straits, and taken our final leave of the north-east coast of Asia, it may not be improper, on this occasion, to state the grounds on which we have ventured to adopt two general conclusions respecting its extent, in opposition to the opinions of Mr. Muller. The first, that the promontory named East Cape is actually the easternmost point of that quarter of the globe; or, in other words, that no part of the continent extends in longitude beyond 190° 22ʹ E.: the second, that the latitude of the north-easternmost extremity falls to the southward of 70° N. With respect to the former, if such land exist, it must necessarily be to the north of latitude 69°, where the discoveries made in the present voyage terminate; and, therefore, the probable direction of the coast, beyond this point, is the question I shall endeavour, in the first place, to investigate.