Wednesday, 27th. Winds at East. P.M., a fresh Gale, with which we stood to the Southward until 12 at Night, then Tack'd and Stood to the Northward. At 4 a.m. the wind began to freshen, and increased in such a manner that at 9 we were obliged to bring the Ship too under her Mainsail, it blowing at this time excessive hard with heavy Squalls attended with rain, and at the same time thick hazey weather. Course made good since Yesterday at Noon South-South-West 1/2 West, distance 11 Miles. Latitude in 35 degrees 19 minutes South, Longitude in 188 degrees 29 minutes West. The Island of the 3 Kings, North 27 degrees East, distant 77 Miles. [Off North End of New Zealand.] Thursday, 28th. The Gale continued without the least intermission until 2 a.m., when the wind fell a little and began to veer to the Southward and to the South-West where it fixed at 4, and we made Sail and steer'd East in for the Land under the Foresail and Mainsail, but was soon obliged to take in the latter as it began to blow very hard and increased in such a manner that by 8 o'Clock it was a meer Hurricane attended with rain and the Sea run prodidgious high. At this time we wore the Ship, hauld up the Topsail, and brought her too with her head to the North-West under a Reefed Mainsail, but this was scarcely done before the Main Tack gave way and we were glad to take in the Mainsail and lay too under the Mizen staysail and Ballanced Mizen, after which we reefd the Foresail and furl'd both it and the Mainsail. At Noon the Gale was a little abated, but had still heavy squalls attended with rain. Our Course made good to-day is North, a little Easterly, 29 miles; Latitude in per Account 34 degrees 50 minutes South; Longitude in 188 degrees 27 minutes West; the 3 Kings North 41 East; distant 52 Miles. Friday, 29th. Winds at South-West and South-West by West. A very hard Gale with Squalls but mostly fair weather. At 7 p.m. wore and lay on the other Tack. At 6 a.m. loosed the Reef out of the Foresail and Set it and the Reefd Mainsail. At 11 unbent both Foresail and Mainsail to repair, and bent others and made Sail under them. At Noon Latitude observed 34 degrees 45 minutes South. Course and distance saild since yesterday East by North 29 miles. Saturday, 30th. Winds at South-West. P.M., hard Gales with some Squalls attended with rain. A.M., more moderate and fair. At 8 p.m. wore and stood to the North-West until 5 a.m., then wore and stood to the South-East and being pretty moderate we set the Topsails close Reef'd, but the South-West Sea runs so high that the Ship goes Bodily to leeward. At 6 saw the land bearing North-East distant about 6 Leagues which we judge to be the same as Tasman calls Cape Maria Van Dieman; at Noon it bore North-North-East 1/2 East and we could see the land extend to the East and Southward as far as South-East by East. Our Latitude by observation 34 degrees 50 minutes South.