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Paper I.

1. Jan. 8, 1868: long. 39° 42′ W.: observed meridian altitude 60° 3′ 15′′: index error -1'18": eye 19 feet: S. of observer: required the latitude.

2. Jan. 18, 1868: at 7h 15m 35 P.M. mean time at ship: long. 168° 40′ E.: the observed altitude of Polaris off the meridian being 45° 10′ 40′′: eye 21 feet, required the latitude.

3. Jan. 31, 1868: the following double altitude of the sun was observed:

app. time at ship.
8h 15m 56s A.M.

11 8 36 A,M.

obs. alt. O's 1.1.

36° 37′ 38′′ bearing N. 45° E.
64 29 27

eye 20 feet: course and distance in the interval S. 55° E.32 miles : lat. by account 40° 10′ S.: long. 115° 15′ E.: required the true latitude when the second observation was made.

4. Verify No. 3 by Sumner's method.

5. March 2, 1868: lat. 16° 54' N.: long. 25° 22' W.: equal altitudes of were taken, when the corresponding times by chronometer were 10h 10m 43 A.M. and 3h 56m 14s P.M. to determine the error of the chronometer for apparent and mean time at the place of observation, and also on mean time at Greenwich.

6. Feb. 17, 1868: A .м. at ship : lat. 40° 20′ S.: time by chronometer 16d 15h 20m 5s, which was supposed to be 3m 17s slow on mean time at Greenwich: the following lunar was taken.

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eye 21 feet required the longitude and error of the chronometer on mean time at Greenwich, by lunar observation.

7. Jan. 24, 1868: the observed altitude of the O by the artificial horizon being 86° 0' 4"; index error -1'18": required the true altitude of O's centre.

8. A ship by dead reckoning has made N. 30° W. 105 miles, but by observation she is found to have made N. 20° W. 101 miles, required the set and drift of the current.

Paper II.

1. Feb. 17, 1868: A.M. at ship: long. 64° 9′ W.: observed meridian altitude 49° 30′ 10′′ S.: index error-1′ 18′′: eye 18 feet : required the latitude.

2, March 20, 1868: at 7h 17m P.M. mean time at ship: long. 19° 56′ W.: the observed altitude of Polaris off the meridian being 54° 50′ 40′′: index error +1' 10": eye 23 feet: required the latitude.

3. April 2, 1868: the following double altitude of the sun was observed: :

app. time at ship.
8h 16m 48s A.M.

11 1 54 A.M.

obs. alt. O's 1.1.

31° 40′ 29′′ bearing East.
61 11 56

14

eye 22 feet course and distance in the interval S. E. 8 miles, lat. by account 30° 1' N.: long. 117° 17′ E.: required the true latitude when the second observation was made.

4. Verify No. 3 by Sumner's method.

(See page 105.)

5, April 15, 1868: lat. 16° 50′ N.: long. 99° 55′ W.: equal altitudes of being observed, when the corresponding times by chronometer were 15d 3h 50m 40s and 15d 9h 20m 40s, determine the error of the chronometer for apparent and mean time at the place of observation, and also on mean time at Greenwich.

6. March 3, 1868: P.M. at ship: lat. 31°7′ S.: time by chronometer 3d 5h 26m 32s which was supposed to be 4m 36s fast on M. T. at Greenwich, the following lunar was taken :

obs. alt. O's 1.1.
39° 29'

obs. alt. 's 1.1.
obs. dist.
11° 30'
109° 56'
index error + 1

& n.ls. 42" 10

:

eye 20 feet required the longitude and error of the chronometer on mean time at Greenwich by lunar observation.

7. April 27, 1868: the observed altitude of the O in an artificial horizon being 61° 15′ 40′′: index error -2′ 10′′: required the true altitude of the sun's centre.

8. A ship by dead reckoning has made S. 44° E. 97 miles, but by observation she is found to have made S. 11° W. 101 miles : determine the set and drift of the current.

Paper III,

1. June 1st, 1868: long. 31° 30′ E.: observed meridian altitude 52° 16': zenith S. of (; index error + 2′ 15′′: eye 24 feet required the latitude.

2. May 15, 1868: at 11 0m 50° P.M. mean time at ship: long. 30° 40′ W.: the observed altitude of Polaris off the meridian being 49° 58′ 40′′: index error -50′′: eye 22 feet: required the latitude.

3. May 28, 1868: the following observations were made for latitude by double altitude,

app. time at ship.
28d 0h 58m 33s

28 3 29 42

obs. alt. O's 1.1.

66° 57' 5" bearing N.W. by N. 35 53 32

eye 18 feet: the course and distance in the interval S.W. by S. 14 miles: lat. by ac. 3° 33′ N. : long. 75° 25′ W.: required the true latitude when the second observation was taken.

4. Verify No. 3 by Sumner's method.

5. May 16, 1868: lat. 20° 28′ S.: long. 28° 51′ W.: equal altitudes of the O being observed, when the corresponding times by chronometer were 15d 23h 5m 30° and 16d 4h 52m 10: required the error of the chronometer on apparent and mean time at the place of observation, and also on mean time at Greenwich.

6. June 18th, 1868: A.M. at ship: lat. 36° 9′ S.: time by chronometer 17a 10h 57m 125, which was supposed to be 2m 48s slow on mean time at Greenwich, the following lunar was observed, the moon being E. of the meridian :

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eye 21 feet required the longitude and error of chronometer on mean time at Greenwich, by lunar observation.

7. May 24, 1868: the observed meridian altitude of the sun's lower limb in an artificial horizon being 97° 43′ 50′′: index error +1′ 20′′: required the true altitude of the sun's centre.

8. A ship by dead reckoning makes N. by E. 106 miles, by observation she is found to have made N.N.W. 100 miles, determine the set and drift of the current.

Paper IV.

1. July 15, 1868: long. 30° 45′ W.; observed meridian altitude 58° 0′ 20′′: observer S. of : eye 22 feet: required the latitude.

2. July 10, 1868 at 11h 54m 40s P.M. mean time at ship: long. 171° 50′ E.: the observed altitude of Polaris off the meridian being 61° 0' 30": index error -1′ 39′′: eye 27 feet required the latitude. 3. July 3, 1868: the following double altitude of the sun was taken :

app. time at ship.
7h 44m 27s A.M.

0 45 1 P.M.

obs alt. O's 1.1.

27° 32' 4" bearing E.by N. & N. 73 5 40

eye 18 feet course and distance in the interval E. by N. N. 12 miles lat. by account 10° 12′ N. : long. 122° 41′ E,: required the latitude when the second observation was made.

:

4. Verify No. 3 by Sumner's method.

5. August 5, 1868: lat. 37° 3′ N.: long 15° 16′ E.; equal altitudes of being observed, when the corresponding times by chronometer were 4d 19h 40m 20s and 5d 1h 30m 40s: determine the error of the chronometer for apparent and mean time at the place of observation, and also on mean time at Greenwich.

6. August 28, 1868 at about 10h 7m 30s P.M. mean time at ship: lat. 4° 16' S. long. by ac. 161° 45′ E., the following observations were taken, star E. of meridian :—

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eye 18 feet required the mean time at Greenwich, and the longitude

by lunar.

7. July 20, 1868: the observed altitude of horizon being 98° 40′ 30′′: index error -1′ 45′′: altitude of the sun's centre.

in the artificial required the true

8. A ship by dead reckoning has made S. 7° W. 100 miles, but by observation she is found to have made S. 50° E. 94 miles: required the set and drift of the current.

Paper V.

1. Sept 10, 1868: long 170° E.: observed meridian altitude. 50° 0′ 20′′: moon N. of observer: index error + 1′ 21′′: eye 20 feet: required the latitude.

2. Sept. 10, 1868 at 2h 30m 15° A.M. mean time at ship: long. 30° 17′ W. the observed altitude of Polaris off the meridian, being 54° 0′ 30": eye 18 feet: required the latitude.

:

3. Oct. 29. 1868: the following observations were made for latitude by double altitude:

app. time at ship. 29d 1h 13m 8s P.M.

29 3 38 20 P.M.

obs. alt.. O's 11. 58° 37′ 42′′ bearing N.W. by N, 35 19 24

eye 12 feet: course and distance in the interval S.E. by S. 13 miles : lat. by ac. 40° 40′ 30′′ S.: long. 73° 56′ W.: required the true latitude when the second observation was taken.

4. Verify No. 3 by Sumner's method.

5. Oct. 4, 1868: lat. 34° 19′ S.: long. 115° 6' E.: equal altitudes of the being observed, when the corresponding times by chronometer were 3d 19h 0m 50s and 3d 23h 50m 50s: required the error of the chronometer for apparent and mean time at the place of observation, and also on mean time at Greenwich.

6. Oct. 22, 1868: P.M. at ship: lat. 32° 12′ N.: time by chronometer 22d 6h 28m 20s, which was supposed to be 7m 40s slow on Greenwich mean time, the following lunar was observed:

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eye 20 feet required the longitude by lunar observation, and error of chronometer on mean time at Greenwich.

7. Oct. 10, 1868: the observed altitude of the O in the artificial horizon being 65° 10′ 40′′: index error + 2′ 4′′: required the true altitude of the sun's centre.

8. A ship by dead reckoning makes E. 158 miles, but by observation, N. 48° E. 130 miles : required the set and drift of the current.

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