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PAPER 5.

1. Multiply 57.96 by 6.987 by common logarithms.

2. Divide 95600 by 76.05 by common logarithms.

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4. In Latitude 44° 40' the Departure made good was 169 miles. Required the Diff. Long. by Parallel Sailing.

5. 1874. June 4th, in long. 21° W.; meridian altitude Sun's lower limb 67° 18' bearing N.; height of eye 24 feet; index error + 48". Required the latitude.

6. Required the Course and Distance from A. to B. by calculation on Mercator's principle,

Lat. A. 0° 15' N.
Lat. B. 7 56 S.

Long. 6° 33' E.
Long. 14 25 W.

PAPER 5.

7. 1872. February 5th.-Find the times of High Water A.M. and P.M. at Cromarty.

8.

1874. May 30th, at 7h 16m P.M., app. ship time; in lat. 40° N.; long. 34° W.; Sun's amp. by compass W. 39° N. Required the error of the compass; and supposing the variation to be 26° W., Required the deviation of the compass.

9. 1874. May 18th, P.M. at ship; in lat. 56° 20′ N.; altitude Sun's lower limb 34° 50′ 30′′; height of eye 16 feet; time by chronometer 18a 2h 20m 33, which was slow for mean noon at Greenwich 4m 20° on April 10th, and on March 1st was 3m 0s slow for mean noon at Greenwich; index error -1'15". Required the longitude.

10. 1874. May 10th, at 2h 28m P.M., mean time at ship; in lat. 35° 30' S.; long. 35° 30' W.; Sun's bearing by compass N. 50° 38′ W.; altitude Sun's lower limb 25° 36' 25"; height of eye 17 feet; index error +1′ 31′′. Required the error of the compass; and supposing the variation to be 5° 38′ W., Required the deviation.

11.

1874. May 5th, P.M. at ship; lat. by acc. 44° 30′ N.; long. 122° W.; altitude Sun's lower limb South of observer 61° 30'; height of eye 17 feet; time by watch 0h 15m 30%, which was slow for apparent time at ship 1m 31s; diff. long. made East was 21' after the error had been determined; index error 1' 29". Required the latitude by the reduction to the meridian.

12.

1874. May 5th.-Meridian altitude of the star Regulus 64° 26′ 30′′ bearing S.; height of eye 16 feet; index error +2' 24". Required the latitude.

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4. In Latitude 60° the Departure made was 95 miles. Required the Diff. Long. by Parallel Sailing.

5. 1874. July 25th, in long. 175° E.; meridian altitude Sun's lower limb 66° 10' 30" bearing S.; height of eye 23 feet; index error 30". Required the latitude.

6. Required the Course and Distance from A. to B. by Mercator's Sailing.

Lat. A. 25° 39' S.
Lat. B. 6 47 S.

Long. 45° 7' E.

Long. 105 13 E.

PAPER 6.

7. 1872. February 10th.-Find the times of High Water A.M. and P.M, at Filey Bay.

8. 1874. June 8th, at 7h 45m A.M., apparent time at ship; in lat. 47° S.; long. 50° E.; Sun's amp. by compass E. 45° N.; Required the error of the compass; and supposing the variation to be 30° E., Required the deviation.

9.

1874. June 8th, A.M. at ship; in lat. 16° 20′ S.; altitude Sun's lower. limb 29° 3' 40"; height of eye 17 feet; time by chronometer 7a 13h 30m 33", which was fast for mean noon at Greenwich 10m 12s on April 4th, and on February 3rd was fast for mean noon at Greenwich 9m 12s; index error + 37". Required the longitude.

10. 1874, June 6th, at 8h 6m A.M., mean time at ship; in lat. 40° 39' N.; long. 130° 30' E.; Sun's bearing by compass N. 87° 11' E.; altitude Sun's upper limb 38° 45′ 40′′; height of eye 18 feet; index error 42". Required the error of the compass; and supposing the variation to be 5° W., Required the deviation.

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11. 1874. June 2nd, A.M. at ship; lat. by acc. 39° 30' S.; long. 150° E.; altitude Sun's lower limb North of observer 27° 36' 20"; height of eye 19 feet; time by watch 11h 23m 315, which was slow for apparent time at ship 1m 138; diff. long. made West was 11' after the error on apparent time at ship had been determined; index error - 2' 16". Required the latitude by reduction to the meridian.

12. 1874. June 6th.-Meridian altitude of the star Rigel 66° 19' 30" bearing S.; height of eye 17 feet; index error 40". Required the latitude.

PAPER 7.

1. Multiply 64.745 by 8.06845 by common logarithms.

2. Divide 40321 by 600.6 by common logarithms.

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4. In Latitude 20° the Departure made was 90 miles. Required the Diff. Long. by Parallel Sailing.

5. 1874. August 5th, in long. 95° E.; meridian altitude Sun's lower limb 49° 40' 20" bearing N.; height of eye 26 feet; index error + 36". Required the latitude.

6. Required the Course and Distance from A. to B. by Mercator's Sailing.

Lat. A. 48° 30' S.
Lat. B. 13 38 S.

Long. 178° 50' E.
Long. 76 28' W.

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