The latitude of Inspection Hill, from several single and two double observations, was 17 deg. 8’ 15” S.

Longitude from forty-two sets of lunar distances taken by lieutenant Flinders, the particulars of which are given in Table III. of the Appendix No.  I. to this volume, 139 deg. 44’ 52” E.

The rates of the time keepers were deduced from morning’s altitudes, taken with a sextant and artificial horizon at the shore under Inspection Hill, from Nov. 16 to 29; and the mean rates during this period, with the errors from mean Greenwich time at noon there on the 30th, were as under: 

Earnshaw’s No. 543, slow 2h 16’ 29.51” and losing 14.74” per day.  Earnshaw’s No. 520, slow 3h 52’ 19.70” and losing 20.01” per day.

The longitude given by the time keepers, with the rates from Upper Head in Broad Sound, on our arrival Nov. 16, was by

No. 543, 140 deg. 6’ 35.2” east. 
No. 520, 139 deg. 47’ 42.2” east.

No. 520 therefore differed very little to the east of the lunar observations, and the first day’s rate was almost exactly the same as that with which we had quitted Upper Head; whilst No. 543 differed greatly, both in longitude and rate.  A similar discordance had been noticed at the Cumberland Island, marked l2, twenty days after leaving Upper Head; No. 520 then differed only 1’ 1.2” from the survey, but No. 543 erred 7’ 2.2” to the east.  I have therefore been induced to prefer the longitude given by No. 520, to the mean of both time keepers; and accordingly, the positions of places before mentioned or laid down in the charts, between Upper Head and Sweers’ Island, including Torres’ Strait, are from this time keeper alone; with such small correction equally proportioned; as its error from the lunars, 2’ 50.2” to the east in fifty-two days, made necessary.

No. 543 had undergone some revolution on the passage, but seemed at this time to be going steadily; whereas No. 520, which had kept its rate so well, now varied from 18.79” to 25.39”, and ceased to be entitled to an equal degree of confidence.

Mean dip of the south end of the needle, observed upon the west point of Sweers’ Island, 44 deg. 27’.

Variation of the theodolite in the same place, 4 deg. 7’ E.

Variation of the surveying compass in the Road, 2 deg. 28’ with the ship’s head E. N. E, and 4 deg. 30’ with the head northward; the mean corrected to the meridian, will be 4 deg. 31’ E.

In bearings taken on the east side of Bentinck’s Island, the variation appeared to be a full degree greater than on the west side of Sweers’ Island.