It has an inhospitable appearance, being apparently similar in formation with York Isles, and subsides rapidly to the South-West forming the south side of Endeavour Strait, where it scarcely reaches an elevation of fifty feet: contrasting forcibly with the high rocky land of the opposite side of the Strait, formed by the largest of the Prince of Wales Islands; upon which former navigators not having bestowed a name, we conferred that of the immortal navigator. Not but that the Strait known by the name of his ship, is quite sufficient to recall the mind of posterity to his perils and dangers in these seas; but that we his humble followers in the great cause of discovery might add our mite to the wreath of glory which must ever encircle the name of Captain Cook. On the North-East extremity of this island is a remarkable peak, in the shape of a horn, called by him Horn Hill. Captain King having only passed between the eastern of the Possession Isles, little was known of the western shores. A few angles and bearings were accordingly taken, as we passed between them to assist in remedying this deficiency. ENDEAVOUR STRAIT. There was no impediment to our passage through the Strait, until we got abreast of Wallis Isles, Cape Cornwall bearing East by North 1/2 North; when the water shoaled to four fathoms and a half. Finding by hauling up on either tack, that we were on a ridge extending from the Cape, we ran to the westward, until we could cross it, which we did in three and a half fathoms, North Wallis Island bearing South-West five miles. BOOBY ISLAND.