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4. 1872, November 21st, in longitude 70° 20' E., observed meridian altitude sun's L.L. was 80° 20', bearing North, index correction 2' 50", height of eye 20 feet:

required the latitude.

5. In latitude 35° 39′, the departure made good 66 miles.

6. Required the course and distance from A to B, by Mercator's Sailing.

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7. 1872, November 12th; find A.M. and P.M. tides at Dunbar, Dundee, and Burntisland.

7a. 1872, November 20th: find the time of high water at A, change tide 2h 40m, longitude 110' E.

7b. 1869, September 28th: find the times of high water at Victoria River, longitude 130 E.

8. 1872, January 16th, at 7h 22m P.M. apparent time at ship, latitude 43° 4′ S., longitude 10° 6′ W., sun's magnetic amplitude W. 5° 56′ S.

9. 1872, June 5th, A.M. at ship, latitude 2° 5′ S., observed altitude sun's L.L. 28° 4′, index correction + 4′ 25′′, eye 15 feet, time by chronometer 4d 12h 34m 228, which was 6 44 fast for mean noon at Greenwich, March 6th, and losing 40 daily.

THE SAME, AS PROPOSED AT LIVERPOOL:—

1872, June 5th, at about 8h 5m A.M. at ship, latitude 2° 5' S., longitude acct. 113° E., observed altitude sun's L.L. 28° 4', index corr. + 4′ 25′′, height of eye 15 feet, when a chronometer showed 12h 34m 225, which was fast 6m 54s for Greenwich mean noon, March 6th, and losing 4 daily.

ADDITIONAL FOR FIRST MATE.

10. 1872, November 10th, at 8h 45m 388 A.M., mean time ship, latitude 50° 30' N., longitude 86° 43′ E., observed altitude sun's L.L. 6° 7′ 10′′, height of eye 15 feet: sun's magnetic azimuth S. 60° 30' E,

11. 1872, January 8th, A.M. at ship, latitude acct. 35° 10' S., longitude 55° 12′ W., observed altitude of sun's L L. 76° 44′ N., index correction + 1′ 18%, height of eye 14 feet, time by watch 39m 34s (or 8d oh 39m 34"), which was 50m 38 fast on apparent time at ship, the difference of longitude made to East 21'.

ADDITIONAL FOR MASTER ORDINARY.

12. 1872, February 1st, longitude 50° W., observed meridian altitude of star a Canis Majoris (Sirius) 37° 50′ 20" S., height of eye 19 feet, index correction + 1'4′′: required the latitude.

13. Correct the following compass courses for deviation, as given in page 138:— S.E. E., and S. W. W.

EXAMINATION PAPER.-No. XVI.

FOR SECOND MATE.

1. Multiply 3740 by 750, by common logarithms.

2.

Divide 4752000 by 49, by common logarithms.

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4. 1873, January 1st, in longitude 167° 54′ E., the observed meridian altitude of sun's L.L. 83° 40′, zenith North of sun, index correction + 47", height of eye 23 feet: required the latitude.

5. In latitude 60° 5′ S., longitude 179° 17′ W., a ship sails due West 96 miles: find the longitude in.

6. Required the course and distance from A to B, by Mercator's Sailing.

Latitude of A 8° 57' N.

Latitude of B 36 50 S.

Longitude of A 79° 31′ W.
Longitude of B 174 49 E.

ADDITIONAL FOR ONLY MATE.

7. 1872, March 1st: find the times of high water at Cardigan Bar and Eyemouth. 7a. 1872, March 30th: required the times of high water at A, longitude 98° E., change tide oh 35m P.M. apparent time (by Method II).

7b. 1869, March 28th: find the times of high water at Gibraltar (Method III). 8. 1872, November 4th, at 4h 52m 428 A.M. apparent time at ship, latitude 46° 40′ S., longitude 8° 57′ W., sun's magnetic amplitude S.E. E.: required the variation.

9. 1872, Sept. 1st, A.M. at ship, latitude 15° 31′ S., observed altitude sun's L.L. was 15' 18' 20", index correction — 20", height of eye 26 feet, time by chronometer, August 31d 20h 12m 405, slow im 30s on April 15th and gaining 8o5 daily: required the longitude.

THE SAME, AS PROPOSED AT LIVERPOOL.

1872, September 1st, at about 7h 15m A.M. at ship, latitude 15° 31' S., longitude acct. 10° W., obs. alt. sun's L.L. 15° 18′ 20′′, index corr. 20", height of eye 26 feet, when

a chronometer showed 8h 12m 40s, which was 1m 30s slow for mean noon at Greenwich, April 15th, and gaining 8.5 daily.

ADDITIONAL FOR FIRST MATE.

10. 1872, June 1st, at 8h 19m A.M. mean time at ship, latitude 21° 10' N., longitude 61° 30′ E., observed altitude sun's L.L. 39° 10', index correction 15", height of eye 18 feet, sun's magnetic azimuth E. & N.: required the true azimuth and variation. 11. 1872, April 13th, A.M. at ship, latitude account o°, longitude 147° 10' E., observed altitude of sun's L.L. 80° 30', North of observer, index corr. + 1' 10", height of eye 16 feet, time by watch oh om 123, which had been found to be 11m is fast on apparent time at ship, difference of longitude made to East was 8 miles, after the error on apparent time was determined.

ADDITIONAL FOR MASTER ORDINARY.

12. 1872, May 10th, the observed meridian altitude of a2 Centuri was 10° 4′ 15′′ (zenith North), index corr. 2' 10", height of eye 20 feet: required the latitude,

EXAMINATION PAPER.-No. XVII,

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4. 1872, September 23rd, longitude 57° 45′ E., observed meridian altitude sun's L.L. 84° 10' 50', bearing North, index correction 1' 36", height of eye 16 feet: required the latitude.

5. In latitude 52° S., longitude o° 40′ W., a ship sails 136 miles due East: required the longitude in.

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

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7. 1872, December 12th: find A.M. and P.M. tides at Aberdeen Bar, Penzance, and King's Road, Bristol Channel.

7a. 1872, December 6th: find time of high water at A, longitude 120° W., change tide 5h 40m P.M., apparent time.

7b. 1869, December 11th: find times of high water at Yarmouth Roads and Southampton (Method III).

8. 1872, November 5th, at 5h 10m P.M. apparent time at ship, in latitude 20° 45′ N., longitude 116° 45' E., the sun's magnetic amplitude was S.W. W.: required the variation.

9. 1872, August 5th, A.M. at ship, latitude at noon 30° 30' N., observed altitude sun's L.L. 35° 6', height of eye 16 feet, time by chronometer 8h 39m 228 P.M., fast 30m os on Greenwich mean noon, July 20th, and gaining 25.3 daily, course till noon West (true) 48 miles: required the longitude in at noon.

THE SAME, AS PROPOSED AT LIVERPOOL:—

1872, August 5th, at about 8h 10m A.M. at ship, lat. at noon 30° 30′ N., long. by acct. 179° 15′ W., observed altitude sun's L.L. 35° 6′, height of eye 16 feet, when a chronometer showed 8h 39m 225, which was 30m fust on Greenwich mean noon, July 20th, and gaining 253 daily, course till noon West (true), 48 miles: required the longitude at noon.

ADDITIONAL FOR FIRST MATE.

10. 1872, August 13th, mean time at ship, 9h 5m 20s A.M., latitude 30° 46′ S., longitude 78° 50′ W., sun's bearing by compass N. 35° E., observed altitude sun's L.L. 27° 12', index correction +1' 45", height of eye 21 feet: required the true azimuth and variation.

11. 1872, June 12th, P.M. at ship, latitude account 15° 50′ S., longitude 72° 12′ E., observed altitude of sun's L.L. 50° 10' 10", zenith South of observer, index correction

5' 40", height of eye 26 feet, time by watch 28m 40s (or 12d oh 28m 40%), which had been found to be slow 4m 44 on apparent time at ship, the difference of longitude made to West was 16 miles, after the error on apparent time was determined.

ADDITIONAL FOR MASTER ORDINARY.

12. 1872, December 7th, the observed meridian altitude of the star a Arietis was 60° 29′ 50′′, zenith North of star, index correction 2' 10", height of eye 18 feet: required the latitude.

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1. Multiply 0000033 by '00000022, by common logarithms.

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4. 1872, June 25th, in longitude 59° 15' E., observed meridian altitude sun's U.L. bearing North was 60° 23' 15", index correction +221", height of eye 30 feet: required the latitude.

5. A ship sailed due West 120 miles from Cape Roca, in latitude 38° 46′ N., and longitude 9° 30' W.: required the longitude of the ship.

6. Required the course and distance from Cape East, New Zealand, to San Francisco.

Latitude Cape East 37° 40'S.
Latitude San Francisco 37 48 5N.

Longitude Cape East
178° 36′ E.
Longitude San Francisco 122 24 W.
Variation 14° 20' E., and deviation 5° 40′ E.

7. 1872, August 1st: find times of high water, A.M, and P.M., at Dundee, Peterhead, and Spurn Point.

7a. 1872, December 11th: find the A.M. and P.M. times of high water at A, longitude 70° E., change tide 2h 24m.

76. 1869, April 1st: find A.M. and P.M. times of high water at Madras Roads.

8. 1872, May 11th, at 5h P.M. apparent time at ship, latitude 38° 51′ S., longitude 139° 21′ E., sun at setting bore by compass W.N.W., variation by chart was 5o 8′ E.: required the error of compass and the deviation.

9. 1872, September 23rd, A.M. at ship, on the Equator, observed altitude sun's U.L. 17° 20′ 40′′, index correction 1' 18", height of eye 20 feet, time by chronometer, September 22d 19h 2m, which was fast 4m 2s for Greenwich mean noon, July 27th, and losing 21 daily: required the longitude.

THE SAME, AS PROPOSED AT LIVERPOOL.

1872, September 23rd, A.M, at ship at about 7h, latitude o°, longitude account o°, observed altitude sun's U.L. 17° 20' 40", index correction 1' 18", height of eye 20

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