268 
A VOYAGE TO 
[South Coast. 
1803 . 
May. 
Saturday 2 1 ■ 
be off the east end of the middle beach, between it and the rock, 
in 4 or 5 fathoms ; but I cannot answer for the ground there being 
good, though to all appearance it should be the best in the bay. 
The latitude observed from an artificial horizon on the middle 
beach was 34 0 5' 23" south ; and the longitude of the place of obser- 
vation, a little east of that before fixed by the time keepers from 
King George’s Sound, ( Vol. I. p. 89 ), will be 123 0 9' 37",6‘ east. Mr. 
Flinders took three sets of altitudes between the 18th p. m. and 21st 
a. m., from which the rates of the time keepers, and their errors from 
Greenwich time at noon there of the 21st, were found to be as under ; 
Earnshaw’s No. 543, slow g h io' 59", 53 and losing 19",% per day 
No. 320, fast 1 31 54 ,28 - 34 ,07 
At the first observation, the longitudes deduced from the Coepang 
rates were, by 
No. 543,— 123 0 33' 37 ", 5 east. 
No. 520,-123 25 22 ,5 ; 
the mean of which is 19' 52", 4 more than what I consider to be the 
true longitude ; but on using rates equally accelerated from those at 
Coepang to what were found above, the error becomes reduced to 
12' 11 ",6 east ; which is the sum of the apparent irregularity of the 
time keepers from April 8 to May 18, or in 40,2 days. The cor- 
rections applied to the longitude during the last passage, are therefore 
what arise from the equal acceleration of the rates, and from the 
proportional part of the 12' 11 ", 6 of irregularity ; and when thus 
correcfed, the time keepers did not appear to differ at Cape Leeuwin 
and Mount Gardner more than 1' from the longitude of the former 
year. 
On clearing Goose-Island Bay we steered eastward, with 
cloudy weather and a fresh breeze which veered to S. S. W. A 
small round island, with two rocks on its north side, was discovered 
in the south-eastern part of the archipelago, and also a reef ; nei- 
ther of which I had before seen, nor are they noticed by admiral 
D’Entrecasteaux. At 3 h 40' the following bearings were taken : 
