The first steep head, to the eastward of the South Cape, opened round it at E. 7 deg.  N., (allowing 4 deg. east variation,) and a second from the first, at E. 16 deg.  N., their distances asunder being each about five miles.  It is the middlemost of these three heads which is called South Cape by captain Cook, as appears from the relative situations of his Peaked Hill and of Swilly rock; but he had not the opportunity of seeing the heads opening one from the other, as we had in the Norfolk.  I make the latitude of the Cape (adding the 2’ 40”) to be 43 deg. 37’, nearly as captain Furneaux did; and as captain Cook would have done, had his latitude at noon been taken 43 deg. 421/2’, according to the Astronomical Observations, instead Of 42 deg. 47’, as in the voyage.

Pedro Blame, or Swilly rock, became visible at half past seven, when the squalls had mostly blown over; and the following bearings where then taken: 

South Cape, distant five miles, W. by N. East extreme of the next steep head, dist. 21/2 miles, N. 14 deg.  E. Pedro Blanca, S. 33 E. Distant land through the haze, N. 60 E.

At nine o’clock we hauled up for D’Entrecasteauxs Channel, of which I had the sketch of Mr. Hayes, and stood off and on, in the entrance, during the night; the wind blowing hard at west, with dark rainy weather.

Dec. 14, at four in the morning, our situation was far to leeward; and having no prospect of fetching into the channel, we bore away for Boreel’s Isles, which were seen bearing N. 65 deg.  E. two leagues.  Three of these produce some vegetation, and that of the largest had been partially burnt not long before.  The two easternmost, called the Friars by captain Furneaux, are bare pyramidal rocks, and, except where they had been made white by the gannets, are of a black, weather-beaten colour:  a patch of breakers lies one mile to the north-east from them.

Fluted Cape opened round Tasman’s Head at N. 18 deg.  E. We passed these steep projections at a mile distance; and not being able to fetch into Adventure Bay, did the same by Cape Frederick Henry.* At noon, this cape bore S. 13 deg.  W. eight miles, and Fluted Cape was behind it in the same bearing.  I proposed to enter the Derwent River; but on making a stretch toward Betsey’s Island,** it appeared that the Henshaw’s Bay of Hayes, instead of being a shallow bight, was a deep opening; and as the north-west wind blew out of the Derwent, we stretched on, seven miles above the island, and came to an anchor in 10 fathoms, sandy ground.  This opening is the North Bay of D’Entrecasteaux; but I was totally ignorant, at that time, of its having ever been entered.

[* This name, given by Captain Furneaux, is altered in D’Entrecasteaux’s voyage to that of _>Cape Trobriand_.  The captain was undoubtedly mistaken in his idea concerning Frederik Hendrick’s Bay; but this does not appear to be a sufficient reason for changing the established name of the cape, unless Tasman had applied it to some other land, which is not the case.]