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 N.N.W., with which we directed our course to the S.S.E. through the strait, 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 S. by E., distant about six leagues; and the island St Diomede, S.W. by W. We now altered our course to the W., and at eight made the east cape, which at midnight bore W. by N., distant four leagues. In the night we steered to the S.S.W., with a fresh west-north-westerly breeze; and at four in the morning of the 31st, the east cape bore N.N.E.; and the N.E. part of the bay of St Laurence (where we anchored the last year) W. by S., 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 deg. 6', and longitude 189 deg.. The south point of the bay of St Laurence bore N. by W. 1/4 W., and was distant seven or eight leagues. In the afternoon, the variation was found to be 22 deg. 50' E. Having now passed Beering's Strait, and taken our final leave of the N.E. 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 deg. 22' E.; the second, that the latitude of the north-easternmost extremity falls to the southward of 70 deg. N. With respect to the former, if such land exist, it must necessarily be to the N. of latitude 69 deg., 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.