Thursday, 15th. Clear weather, Winds at South-West and South-West by South, a Gentle breeze, except in the night, when we had variable light Airs and Calm. In the evening, being about 2 Leagues from the land, we sounded, but had no ground with 103 fathoms. Variation per Azimuth 14 degrees East, per Amplitude 15 degrees 2 minutes East. With what wind we had we made the best of our way along shore to the North-East, keeping at the distance of 2 or 3 Leagues off from the Land. At Noon we were in the Latitude of 44 degrees 47 minutes, having run only 12 Leagues upon a North-East 1/4 North Course since Yesterday at Noon; Longitude made from Cape West 1 degree 3 minutes East. Friday, 16th. Winds at South-West; a fresh breeze and Clear. Steer'd along shore North-East 1/4 East until 6 p.m., when we Shortned Sail, and brought too for the Night. Variation per Azimuth 13 degrees 48 minutes East. At 4 A.M. made sail, and Stood in for the land. At daylight saw the appearance of an inlet into the land; but upon a nearer approach found that it was only a deep Valley, bounded on each side by high lands, upon which we bore away North-East 1/4 East along shore, keeping about 4 or 5 miles off. At Noon the Northermost point of land in sight bore North 60 degrees East, distant 10 Miles; Latitude per Observation 44 degrees 5 minutes; Longitude made from Cape West 2 degrees 8 minutes East. Saturday, 17th. Continued our Course along shore, having in the P.M. the advantage of a fresh Gale at South-West. At 2, past by the point afore-mentioned, which is of a Moderate height, with deep Red Clifts, down which falls 4 Small streams of Water, on which account it is named Cascades Point. Latitude 44 degrees 0 minutes South; Longitude 2 degrees 20 minutes East from Cape West. From this point the land at first Trends North 76 degrees East, but afterwards more to the Northward East-North-East, 8 Leagues. From this point and near the Shore lies a small low Island, which bore from us South by East, distant 1 1/2 Leagues. At 7 o'Clock we Shortned sail, and brought too under the Topsails, with her head off Shore, having 33 fathoms, and fine sandy bottom. At 10, had 50 fathoms, and at 12, wore in 65 fathoms, having drove about 5 Miles North-North-West since we brought too. Two hours after this had no ground with 140 fathoms; which shews that the soundings extend but a little way from the land. From 2 to 8 a.m. had it Calm and hazey, with drizzling rain, at which time a breeze sprung up at South-West, with which we steer'd along shore North-East by East 1/4 East, keeping about 3 Leagues from the land. At Noon had no Observation, being Hazey with rain. Our run since Yesterday at Noon is North-East by East, 55 Miles; Longitude from Cape West 3 degrees 12 minutes East. [Off West Coast of Middle Island, New Zealand.]