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sight bore North 26 degrees East; and some broken land that appear'd to form a bay bore North 40 degrees West, distant 4 Leagues. This Bay I named Broken bay,* (* The Hawkesbury River, the largest on the east coast of Australia, runs into Broken Bay.) Latitude 33 degrees 36 minutes South. We steer'd along shore North-North-East all night at the distance of about 3 Leagues from the land, having from 32 to 36 fathoms, hard sandy bottom. A little after sun rise I took several Azimuths with 4 Needles belonging to the Azimuth Compass, the mean result of which gave the Variation of 7 degrees 56 minutes East. At Noon we were by observation in the Latitude of 33 degrees 22 minutes South, and about 3 Leagues from the land, the Northermost part of which in sight bore North 19 degrees East. Some pretty high land which projected out in 3 bluff Points, and occasioned my calling it Cape 3 Points (Latitude 33 degrees 33 minutes South), bore South-West, distant 5 Leagues; Longitude made from Botany Bay 0 degrees 19 minutes East. Tuesday, 8th. Variable Light Airs and Clear weather. In the P.M. saw some smooks upon the Shore, and in the Evening found the Variation to be 8 degrees 25 minutes East; at this time we were about 2 or 3 Miles from the land, and had 28 fathoms Water. Our situation at Noon was nearly the same as Yesterday, having advanced not one Step to the Northward. Wednesday, 9th. Winds northerly; most part a fresh breeze, with which we stood off Shore until 12 at Night. At the distance of 5 Leagues from the land had 70 fathoms, at the distance of 6 Leagues 80 fathoms, which is the Extent of the Soundings, for at the Distance of 10 Leagues off we had no ground with 150 fathoms. Stood in Shore until 8 o'Clock A.M., and hardly fetched Cape Three Points; having a little wind at North-West by North, we tack'd, and stood off until Noon, at which Time we Tack'd with the wind at North-North-East, being then in the Latitude of 33 degrees 37 minutes South, Cape Three Points bearing North West by West, distance 4 Leagues. Thursday, 10th. In the P.M., had the wind at North-East by North, with which we stood in Shore until near 4 o'Clock, when we Tack'd in 23 fathoms Water, being about a Mile from the land, and as much to the Southward of Cape 3 Points. In the night the wind veer'd to North-West and West, and in the morning to South-West. Having the advantage of a light Moon, we made the best of our way along shore to the Northward.
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