| Time per Watch, | Distance of Sun | Index error. | A.M. | and Moon. | +---------------------+-------------------+-------------- Aug. 31, 1820.| 7ʰ 32´ 06˝ | 77° 50´ 15˝ | - 4´ +---------------------+-------------------+-------------- {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 }| 120° 13´ 00˝ | lower limb }| | +---------------- | Index error - 4'. Lat. deduced | 34 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 } | 116° 22´ 00˝ | lower limb } | | +----------------- | Index error - 4´. Latitude deduced | 34 51 07 N. +-------------------------------------+----------------- Sept. 15, 1820. | Meridian double altitude of sun's } | | lower limb } | 115 36 00 | +----------------- | Index error - 4´. Latitude deduced | 34 51 00 N. +-------------------------------------+----------------- Sept. 16, 1820. | Meridian double altitude of sun's } | | lower limb } | 114 50 30 | +----------------- | Index error - 4´. Latitude deduced | 34 50 35 N. +-------------------------------------+----------------- | Mean latitude of Belle Point | 34 50 54 N. +-------------------------------------+----------------- _Equal altitudes of Sun to find error of watch, at noon._ | Time from Noon, | Time from Noon, | Error of Watch. | A.M. | P.M. | +-----------------+-------------------+---------------- Sept. 15, 1820. | 3ʰ 41´ 21˝ | 3ʰ 36´ 32˝ }| 2´ 47˝ fast. | 3 38 35 | 3 33 46 }| Mean time. +-----------------+-------------------+---------------- _A mean of seven lunar distances and times correspondent--nearest limbs of Sun and Moon._