Mount De Witt bore North. 
Point St. Vincent, N. 7 deg.  E.
Steep head on the east side of the opening, W. 27 E.
Pyramidal rock, off the cliffy head, N. 33 E.
South-west Cape, the extreme.  S. 82 E.

We were then steering for the South-west Cape, and at nine I set Mount De Witt over it at N. 22 deg.  W., our distance from the cape being then about three miles.

Seven islands and rocks were counted to the eastward, lying at different distances from the coast; and the wind having veered to west, permitted us to pass within them.  At noon, the shore to the north being too near for the sun’s altitude to be observed, its supplement was taken to the south, and gave the latitude 43 deg. 271/2’.  A steep head which lies N. 79 deg.  E. four or five miles from the south-west Cape, then bore S. 74 deg.  W., three miles;* whence the latitude of the Cape should be 43 deg. 29’, which is 10 less than given by captain Furneaux, and 8’ by captain Cook.  This difference naturally excited some suspicion of an error in the observation, and I measured the supplement in the same manner on the following noon, when it gave 2’ 40” less than the latitude determined by D’Entrecasteaux in Storm Bay.  The South-west Cape is therefore placed 2’ 40” further south than my observation gave it; that is, in latitude 43 deg. 32’.** The longitude of the Cape, from the observations taken off Rocky Point and brought forward by the survey, would be 145 deg. 47’; but its situation in 146 deg. 7’, by captain Cook, appears to be preferable:  D’Entrecasteaux places it in 146 deg. 0’.

[* This head opened round the Cape at E. 14 deg.  N.. magnetic, the sloop’s head being E. by N.; and shut at W. 20 deg.  S., when the head was north.  In the first case I allow 31/2 deg. east variation, and in the last, 8 deg.; which makes them agree as nearly as can be expected from bearings taken under sail.]

[** Captain Furneaux says (in Cook’s second Voyage, Vol.  I. page 109), that on March 9, 1773, at noon, the South-west Cape bore north, four leagues; and by referring to the Astronomical Observations, p. 193, I find that his latitude was 43 deg. 45 2/3’, which would place the Cape in 43 deg. 33 2/3’; nevertheless the captain says it is in 43 deg. 39’, and it is so laid down in his chart.  The observation by which captain Cook appears to have fixed the South-west Cape, is that of Jan. 24, 1777, at noon; when he says, “our latitude was 43 deg. 47’ south” (Third Voyage, Vol.  I. p. 93.) But the Astronomical Observations of that voyage show (p. 101), that the observed latitude on board the Resolution was 43 deg. 421/2’; which would make the Cape in 43 deg. 321/2’ south.  I consulted captain King’s journal at the Admiralty, but found no observed latitude marked by him on that day.]