{xli} Allowance to be made for error and variation of watch. Longitude by account, 6h 26´ W.

Longitude deduced, 6h 26´ 12˝, or 96° 33´ 00˝ W. of Greenwich.

Camp on the Canadian river, fifteen miles above its mouth.
Sept. 9, 1820.Meridian double altitude of sun's lower limb120° 13´ 00˝
Index error - 4'. Lat. deduced34 50 15 N.
Observations made on the Arkansa river, at Fort Smith, Belle Point,situated at the confluence of the Arkansa and Poteau rivers.
Sept. 14, 1820.Meridian double altitude of sun's lower limb116° 22´ 00˝
Index error - 4´. Latitude deduced34 51 07 N.
Sept. 15, 1820.Meridian double altitude of sun's lower limb115 36 00
Index error - 4´. Latitude deduced34 51 00 N.
Sept. 16, 1820.Meridian double altitude of sun's lower limb114 50 30
Index error - 4´. Latitude deduced34 50 35 N.
Mean latitude of Belle Point34 50 54 N.
Equal altitudes of Sun to find error of watch, at noon.
Time from Noon, A.M.Time from Noon, P.M.Error of Watch.
Sept. 15, 1820.3h 41´ 21˝3h 36´ 32˝2´ 47˝ fast.
Mean time.
3 38 35 3 33 46
Time per Watch, P.M.Distance of Sun and Moon.Index error.
Sept. 15, 1820.3h 55´ 46˝93° 59´ 30˝- 4´

Allowance for error of watch as usual. Longitude by account, 6h 18´ west of Greenwich.

Longitude of Belle Point deduced from the foregoing data, 6h 17´ 24˝, or 94° 21´ 00˝ west of Greenwich.