ourteen were taken by Mr. Crosley and seven
by me in 1795, and nine by lieutenant Flinders at this time, is 33 deg. 51'
45.6" S.

_Longitude_ from forty-four sets of distances of the sun and moon, of
which the individual results are given in Table VI of the Appendix to
this volume, 151 deg. 11' 49" E.*

[* In 1795 and 1796 I took sixty sets of distances upon Cattle Point, an
equal number on each side, which gave the longitude 151 deg. 17' 12"; but
these observations not having been calculated with great nicety, nor
corrected for the errors of the lunar and solar tables, the result is not
considered to be of equal authority with that given above. The present
admiral D'ESPINOSA, when an officer in the voyage of Malaspina, observed
an eclipse of the sun at Port Jackson, and occultations of the first and
second satellites of Jupiter, from which he deduces the longitude of the
town of Sydney to be 151 deg. 12' 45" east of Greenwich; not differing more
than a minute of longitude from the above forty-four sets of corrected
lunar observations.]

This position of Cattle Point, being reduced to the entrance of Port
Jackson, will be for the Flag staff on the south head, latitude 33 deg. 511/2'
south, longitude 151 deg. 161/2 east.

Ramsden's universal theodolite was set up at the observatory, and
intended to be used as a transit instrument; but from the unfavourable
state of the weather and my numerous occupations, it was not adjusted to
the meridian; and the rates of the time keepers were therefore deduced
from equal altitudes, taken with a sextant and artificial horizon in the
usual way. Their errors from mean Greenwich time, at noon there July 18,
and the mean rates of going in the last fifteen days, which were selected
as the best, were as under:

Earnshaw's No. 543, slow Oh 16' 39.72" and losing 8.63" per day.
Earnshaw's No. 520, slow 1 18 53.00 and losing 19.52 per day.

The longitude of Cattle Point, given by the time keepers with the
Kangaroo-Island rates on May 10th, the first day of observation after our
arrival, was by

No. 543 151 deg. 31' 21" east
No. 520 151 26 49 east.

The mean is 17' 16" more than deduced from the lunar observations; and
when rates are used equally accelerating from those at Kangaroo Island,
to what were found on first arriving at Port Jackson, the longitude by
the time keepers would still be 14' 57.4" to the east; so that they
appear to have gone less regularly during this passa