Time per Watch P.M.Distance of Moon and Star.Index error.
July 21, 1820.9h 40´ 54˝51° 45´ 47˝- 3´ 30˝

Variation of watch 47˝ per 12 hours losing. Error of watch to be estimated. Longitude by account 6h 58´ W. Lat. determined by subsequent observations.

Longitude of Camp, 6h 55´ 05˝ or 103° 46´ 15˝ W. of Greenwich.

Equal altitudes of Sun to find error of watch, at noon.
Time from Noon, A.M.Time from Noon, P.M.Error of Watch.
July 22, 1820.2h 58´ 21˝2h 34´ 09˝ 18´ 06˝ slow.
Mean time.
2 56 59 2 32 47
2 55 36 2 31 23
July 22, 1820.Meridian double altitude of Antares51° 40´
Index error—3´ 30˝. Latitude deduced38 12 22 N.

{xl} Camp on the Canadian River of August 6th.
Aug. 6, 1820.Meridian of altitude sun's lower limb71° 52´
Extent of natural horizon, or sheet of water 82 yards.
Height of observer's eye above horizon38 inches.
Index error of sextant- 3´
Latitude deduced35° 16´ 19˝ N.
Camp on the Canadian River of August 22d.
Aug. 22, 1820.Meridian double altitude of moon's lower limb 72° 18´ 15˝
Index error—4´ 00˝. Latitude deduced35 26 29 N.
Camp on the Canadian River of August 31st.
Equal altitudes of Sun to find error of watch, at noon.
Time from Noon, A.M.Time from Noon, P.M.Error of Watch.
Aug. 31, 18203h 27´ 43˝2h 23´ 40˝ 31´ 52½˝ slow.
Mean time.
3 26 212 22 18
3 24 55 2 20 57
Altitudes of Sun and times correspondent, to find the Latitude.
Times per Watch, A.M.Double altitudes of sun's upper limb.Index error.
Aug. 31, 1820.10h 29´ 20˝121° 18´ 00˝- 4´
Error and variation of watch to be allowed.
Lat. by account
34° 57´ N.
10 30 24 121 32 00
10 32 05 121 52 30
10 33 12 122 06 30
10 34 13 122 17 30
Mean 10h 31´ 51˝121° 49´ 18˝
Latitude of Camp deduced from the above34° 57´ 35˝
Time per Watch, A.M.Distance of Sun and Moon.Index error.
Aug. 31, 1820.7h 32´ 06˝77° 50´ 15˝- 4´