Aug. 6, 1820. | Meridian of altitude sun's lower limb | 71° 52´ | Extent of natural horizon, or sheet }| | of water }| 82 yards. | Height of observer's eye above }| | horizon }| 38 inches. | Index error of sextant | - 3´ | +-------------- | Latitude deduced |35° 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 } | | deduced } | 35 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, | Time from Noon, | Error of Watch. | A.M. | P.M. | --------------+-----------------+------------------+----------------- Aug. 31, 1820 | 3ʰ 27´ 43˝ | 2ʰ 23´ 40˝ }| 31´ 52½˝ slow. | 3 26 21 | 2 22 18 }| Mean time. | 3 24 55 | 2 20 57 }| +-----------------+------------------+----------------- _Altitudes of Sun and times correspondent, to find the Latitude._ | Times per Watch, | Double altitudes of | Index error. | A.M. | sun's upper limb. | +------------------+---------------------+---------------- Aug. 31, 1820.| 10ʰ 29´ 20˝ | 121° 18´ 00˝ | - 4´ | 10 30 24 | 121 32 00 | Error and | 10 32 05 | 121 52 30 | variation of | 10 33 12 | 122 06 30 | watch to be | 10 34 13 | 122 17 30 | allowed. | | | Lat. by account | | | 34° 57´ N. +------------------+---------------------+---------------- Mean 10ʰ 31´ 51˝ | 121° 49´ 18˝ | -------------------+---------------------+---------------- Latitude of Camp deduced from the above | 34° 57´ 35˝ -------------------------------------------------------+---------------- _A mean of seven Lunar distances, and times correspondent--nearest limbs of Sun and Moon._