appeared to be an Island, which I take to be the Isle of Diego Ramirez.
It lays in the Latitude of 56 degrees 38 minutes South and Longitude 68
degrees 47 minutes West from Greenwich.* (* Diego Ramirez is in 56
degrees 31 minutes South, 68 degrees 43 minutes West.) Found the
Variation this Evening to be 22 degrees East. A.M. had 3 sets of
Observations of the sun and moon, which gave the Longitude 69 degrees 7
minutes 15 seconds West. The Longitude of the Ship at Noon by the
Observation is 69 degrees 24 minutes, from which take 1 degree 48
minutes, the longitude made from Cape Horn, the remainder is 67 degrees
36 minutes, the Longitude of the Cape, which is 52 minutes less than the
result of Yesterday's Observations.* (* This was the best observation.)
This difference may arise partly from the Observations and partly from
the Ship's runs; the mean of the 2 gives 68 degrees 2 minutes and 68
degrees 24 minutes, the Longitude of the Cape from the Observations taken
at Strait Maire 136 degrees 26 minutes/2 = 68 degrees 13 minutes West
from Greenwich. The Longitude of Cape Horn being deduced from no less
than 24 Observations taken at no very great distance from the Cape, and
on both sides of it, and when the Sun was both to the East and West of
the Moon; for in this case the Errors arising from the Observations are
most likely to Correct one another. Wind, North and West by North to
North-West by West; course, South 39 degrees West; distance, 80 miles;
latitude 58 degrees 4 minutes South, longitude 70 degrees 1 minute West.

Sunday, 29th. First and Latter parts, fresh Gales and Squally, with
flying Showers of rain and Hail; the Middle, strong Gales with heavy
Squalls and showers of rain. At 8 p.m. took 2nd Reef Topsails, at 6 a.m.
Close reefd the Foretopsails and took in the Mizen Topsl, and at 10 set
it again and let the reef out of the Fore top-sails. Wind, West
Northerly; course South-West; distance, 79 miles; latitude 59 degrees 0
minutes South, longitude 72 degrees 48 minutes West.