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4.

In Latitude 19° 30' the Departure made good was 61 miles. Required the Diff. Long. by Parallel Sailing.

5. 1874. November 22nd, in long. 171° 30' W.; mer. alt. Sun's lower limb 42° 43' 30" bearing S.; height of eye 14 feet; index error 30". Required the latitude.

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

Lat. A. 17° 12' N.
Lat. B. 32 15 N.

Long. 25° 6' W.

Long. 64 52 W.

PAPER 10.

7. 1872. February 3rd.-Find the times of High Water A.M. and P.M. at Broughty Ferry.

8. 1874. October 13th, at 6h 14m A.M., apparent time at ship; in lat. 23° 28'; long. 120° W.; Sun's amp. by compass E. 11° 15′ N. Required the error of the compass.

9. 1874. October 4th, A.M. at ship; in lat. 38° 25′ N.; altitude Sun's lower limb 30° 21′ 10′′; eye 21 feet; time by chronometer 3a 19h 34m 14s, which was fast for mean noon at Greenwich 1m 5 on September 2nd, and on July 2nd was 1m 5s slow for mean noon at Greenwich; index error + 41′′. Required the longitude.

10. 1874. October 4th, at 9h 13m A.M., mean time at ship; in lat. 30° 39' S.; long. 40° 39' E.; Sun's bearing by compass N. 67° 30' E.; alt. Sun's lower limb 44° 39′ 40′′; eye 22 feet; index error + 39". Required the error of the compass; and supposing the variation to be 24° W., Required the deviation of the compass for that position of the ship's head.

11. 1874. October 23rd, A.M. at ship; lat. by acc. 49° 37′; long. 16° E.; altitude Sun's lower limb North of observer 51° 29′ 25′′; eye 26 feet; time by watch 12h 5m 34s, which was fast for apparent time at ship 14m 58s; diff. long. made West was 9' after the error was found. Required the latitude by reduction to the meridian.

12. 1874. October 12th.-Meridian altitude of the star Sirius 55° 29' bearing S.; eye 21 feet; index error - 1′ 30′′. Required the latitude.

PAPER 11.

1. Multiply 40.645 by 406.5 by common logarithms.

2. Divide 432.678 by 60.7 by common logarithms.

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4. In Latitude 29° 49' the Departure was 135 miles. Required the Diff. Long. by Parallel Sailing.

5. 1874. December 2nd, in Long. 34° E.; meridian altitude Sun's lower limb 74° 26' 30" bearing N.; eye 17 feet; index error 2' 25". Required the latitude.

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

Lat. B. 32° 15' N.
Lat. C. 14 43 N.

Long. 64° 52′ W.

Long. 17 34 W.

PAPER 11.

7. 1872. February 4th.-Find the times of High Water A.M. and P.M. at Dundee.

8. 1874. November 27th, at 6h 39m P.M., apparent time at ship; in lat. 25°; long. 36° E.; Sun's amp. by compass W. 5° 38' N. Required the error of the compass; and supposing the variation to be 22° 30′ W., Required the deviation.

9. 1874. November 27th, A.M. at ship; in lat. 15° 39′ S.; altitude Sun's lower limb 68° 25' 20'; eye 22 feet; time by chronometer 27 3h 47m 8s, which was fast for mean noon at Greenwich 16 378 on October 28th, and on September 18th was fast for mean noon at Greenwich 16m 57; index error 2' 30". Required the longitude.

10. 1874. November 16th, at 2h 28m P.M., mean time at ship; in lat. 33° 35' N.; long. 155° 30' E.; Sun's bearing by compass S.W. by S.; altitude Sun's upper limb 25° 14′ 40′′; eye 23 feet; index error - 1′ 13′′. Required the error of the compass; and supposing the variation to be 5° 33' E., Required the deviation of the compass.

11. 1874. November 27th, P.M. at ship; lat. by acc. 20° 12' N.; long. 71° E.; altitude Sun's lower limb South of observer 48° 15′ 30′′; eye 25 feet; time by watch 10h 56m 30°; which was slow for apparent time at ship 1h 16m 24"; diff. long. made East was 12'; index error 13". Required the latitude.

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12. 1874. November 14th.-Meridian altitude of the star Vega 51° 22' 30" bearing N.; eye 22 feet; index error +2'36". Required the latitude.

PAPER 12.

1. Multiply 897.6 by 98.67 by common logarithms.

2. Divide 543201 by 6.7 by common logarithms.

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4. In Latitude 59° 19' the Departure made good was 127 miles. Required the Diff. Long. by Parallel Sailing.

5. 1874. November 17th, in Long. 19° W.; meridian altitude Sun's lower limb 57° 50′ 20′′ bearing N.; height of eye 13 feet; index error +30". Required the latitude.

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

Lat. A. 35° 54' N.
Lat. B. 31 12 N.

Long. 14° 32' E.

Long. 29 52 E.

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