5. What bright star will pass the meridian of the Land's End the first after 6h 42m A.M. mean time on August 17, 1835, and how far N. or S. of the zenith?

6. August 18, 1835, in long. 110° 32′ E., the observed meridian altitude of the sun's lower limb was 50° 25′ 10′′, zenith N. of the sun, the index correction was 2' 50", and the height of the eye above the sea was 15 feet; required the latitude.

7. August 18, 1835, at 8h 0m A.M., mean time nearly, in long. 92° 10' W., the observed meridian altitude of the moon's lower limb was 26° 42' 10", zenith S. of the moon, the index correction was 3′ 40′′, and the height of the eye above the sea was 14 feet; required the latitude.

8. December 7, 1835, the observed meridian altitude of the fixed star a Arietis was 40° 25' 10", zenith N. of the star. the index correction was 2' 10", and the height of the eye above the sea was 18 feet; required the latitude. 12. December 7, 1835, the observed meridian altitude

of a Ursa Majoris, under the N. Pole was 11° 10′ 10′′, the index correction was + 3′ 20′′, and the height of the eye above the sea was 19 feet; required the latitude.

10. December 7, 1835, at 1h 20m A.M., in long. 78° 30' E., the observed altitude of a Ursa Minoris (Polaris), was 50° 40′ 15′′, the index correction was 5' 10" and the height of the eye above the sea was 12 feet; required the latitude.

11. July 30, 1835, observed the following double altitude

The run of the ship was none, dip none, the index correction was + 0′30′′; required the true latitude, the latitude by account being 51° N., and the longitude 1o W.

12. May 14, 1835, at 9h 30m A.M., in lat. 50° 48′ N., and long. by account 2° W., a chronometer showed 9h 26m 18s, and the observed altitude of the sun's lower limb was 46° 48' 7", the index correction was 3' 10" + and the height of the eye above the sea was 10 feet; required the true longitude.

May 1, 1835, at Greenwich mean noon, the chronometer was slow on Greenwich mean time 4m 2s and its daily rate was 35.5 losing.

13. September 3, 1835, at 7h 32m P.M., mean time nearly, in lat. 30° 10′ N., and long. by account 36° 10′ W., the following lunar observation was taken.

The height of the eye above the sea was 15 feet; required

the true longitude.

14. August 23, 1835, at 7h 0m P.M., mean time nearly, in lat. 50° 48′ N., and long. by account 140° 25′ E., the sun set by compass W. 5° 10′ S.; required the variation.

15. August 23, 1835, at 5h 50m A.M., mean time nearly, in lat. 51° 10' N., and long. 135° 40′ W., the sun bearing by compass was S. 22° 10′ E., and the observed altitude of its lower limb was 7° 40′ 50′′, the index correction was 2′ 50′′, and the height of eye above the sea was 15 feet; required the variation.

16. Required the mean time of high water at A, on Aug. 2, 1835, A.M. and P.M.

2. Lat. in 48° 28′ N. 3. E. b. N.

4. Corrected courses

S.S.E. 18/3; N. & W.

269'3.

Long. in 17° 25′ 48′′ W.

N.E. b. E. E. 25' departure course, 35'8; S.S.W. W. 38''3; S.E. 1 S. 47'3; N. b. W. W. 20'. Lat. in 51° 29′ 54" S. Long. in 4° 0'′ 18′′ E.

5. a Tauri 33° 54' S. of zenith.

6. Sun's declination on August 17, at Greenwich mean noon, 13° 35' 52" N., on August 18, 13° 16' 40"-3 N., semidiameter 15' 49". Latitude, 52° 48′ 51′′ N.

7. Moon's declination on August 18, at 2h Greenwich mean time, 24° 12′ 3" N., at 3h, 24° 17' 6" N., moon's horizon semidiameter on August 18, at Greenwich mean noon, 14' 51" 6, at midn. 14' 54"-5, corresponding horizontal parallax 54′ 31′′-8 and 54′ 42′′-7. Latitude 38° 10′ 36′′ S.

8. Declination of a Arietis 22° 41' 5′′ N. Latitude 72° 23' 24" N.

9. Declination of a Ursa Majoris 62° 37′ 57′′ N. Latitude 38° 26' 29" N.

10. Right ascension mean sun on Dec. 6, at Greenwich mean noon, 16h 58m 12s.52. Latitude 50° 16' N.

11. Sun's declination on July 31, at Greenwich mean noon, 18° 39′ 18" N., on August 1, 18° 24' 47" N., semidiameter 15' 47". Latitude 50° 53' 30" N.

12. Sun's declination on May 13, at Greenwich mean noon, 18° 16′ 32′′ N.; on May 14, 18° 31′ 19′′ N; corresponding equation of time 3m 45s.9 S., and 3m 55s-9 S.; semidiameter, 15′ 50′′; hour angle, 21h 36m 45s W. Longitude 0° 26' 0" E.

13. Right ascension mean sun September 3, at Greenwich mean noon, 10h 47m 36s-37; right ascension a Pegasi 22h 56m 35.2; declination 14° 19′ 23′′ N.; moon's horizontal semidiameter on September 3, at Greenwich mean noon, 15′ 51′′7, at midnight, 15′ 48" 3; corresponding horizontal parallax 58′ 12′′-5, and 57′ 59′′9; true distance 55° 32′ 23′′; distance from Nautical Almanac at VI. 56° 49′ 7′′, at IX. 55° 19′ 51′′; hour angle 18h 11m 57s W. Longitude 33° 48' 0" W.

14. Sun's declination on August 22, at Greenwich mean noon, 11° 57′ 49′′ N., on August 23, 11° 37′ 37′′ N.; true bearing W. 18° 38′ 45′′ N. Variation 23° 48′ 45′′ E.

15. Sun's declination on August 23, at Greenwich mean noon, 11° 37' 37" N.; on August 24, 11° 17' 14" N.; semidiameter 15' 51"; true bearing N. 81° 6' 30" E. Variation 6° 43' 30" W.

16. Moon's Greenwich meridian passage August 2, 6h 38m; August 1, 5h 46m; semidiameter 16' 10"; equation of time 6m S. from mean time. High water 9h 12m A.M., and 9h 38m P.M.

NOTE. The right ascension of mean sun is found in the Nautical Almanac in page II. of each month under the heading of "Sidereal Time."

Questions.-No. V.

1. Required the course and distance from A to B.

2. Required the course and distance from C to D.

3. A point of land bore from me S.S.W. W., and a current set in the intermediate space S.S.E. 4 miles an hour; how must I steer a boat to fetch the point of land, supposing I can pull in still water 8 miles an hour?

4. October 23, 1837, at noon, a point of land in latitude 34° 28' S., and longitude 18° 28' E, bore by compass N.W. distant 10 miles (variation of compass 24 W.), afterwards sailed as by the following log account; required the latitude and longitude in, on October 24, at noon.