PAPER II.-Continued.

1884. February 12th. Find the Time of High Water at Maryport, A.M. and P.M.

1885. June 23rd, at 4" 20" A.M., apparent time at ship in lat. 45° N., long. 135° 50' W.; the sun's observed amplitude was E. by N. Required the true Amplitude and Error of the Compass; and supposing the variation to be 17° W., required the Deviation.

1885. August 31st, P.M., at ship in lat. o; the observed altitude of the sun's lower limb was 45° 3′ 20′′; height of eye 15 feet; time by a chronometer August 31d9h 16m 28s, which was 10m 20s fast for mean noon at Greenwich on April 15th, and on June 16th was 7" 455 fast for mean noon at Greenwich. Required the Longitude.

ADDITIONAL FOR ONLY AND FIRST Mates.

1885. November 9th, mean time at ship 9h 15m A.M., in lat. 51° 20′ N., long. 42° 12' W.; the sun's bearing by compass S.E. by E.; observed altitude of the sun's lower limb 14° 12′ 30"; height of eye 18 feet. Required the True Azimuth and Error of the Compass; and supposing the variation to be 20° 20' E., required the Deviation.

1885. January 3rd, P.M., at ship, lat. by account 29° 25′ N., long. 156° E.; the observed altitude of the sun's lower limb, 37° 5' 20" South of the observer; height of eye 20 feet. Time by watch 2d 15h 17m 30s, which was found to be 9h 10m 25 slow of apparent time at ship; the difference of longitude made to the Eastward was 26 miles after the error on apparent time at ship was determined. Required the Latitude by the Reduction of the Meridian.

ADDITIONAL FOR MASTer.

1885. October 18th, the observed meridian altitude of the star "Spica" bearing North was 79° 33′ 13"; height of the eye 21 feet. Required the Latitude.

ΙΙΟ

NAPIER'S DIAGRAM. PAPER II.-Continued.

ADDITIONAL FOR MASTER.

In the following Table give the correct magnetic bearing of the distant object, and thence the deviation.

CORRECT MAGNETIC BEARING :

With the deviation as above, give the courses you would steer by the standard compass to make the following courses, correct magnetic.

Correct magnetic courses N E by E., S W by S.,
ESE.

Compass courses

Suppose you have steered the following courses by the standard compass, find the correct magnetic courses made from the above deviation table.

Compass courses WS., N W by N., N E by N.
Magnetic courses

You have taken the following bearings of two distant objects by your standard compass as above; with the ship's head at N.W., find the bearings, correct magnetic. Compass bearing North, E SE. Bearings, magnetic

SUMNER'S METHOD.

FOR MASTER, FIRST MATE AND ONLY MATE.

If at sea on July 2nd, 1885, A.M., and uncertain of my position when the Chronometer shewed 1a 20h 2m3s G.M.T.,

PAPER II.-Continued.

the observed Altitude of the Sun's L.L. 31° 9' 21", and again A.M., on the same day, when the Chronometer shewed 1a 22h 18m 29s G.M.T., the observed Altitude of the Sun's L.L., 52° 50′ 14′′, the ship having made 15 miles on a true N.N.W. course in the interval, height of eye 18 feet. Required the line of position when the first Altitude was taken, also the bearing of the Sun by projection, and the position of the ship when the second Altitude was observed. The ship being supposed to be between the parallels of 48° o' N. and 48° 20' N.

Magnetic Chart.

1. Using deviation card No.

find the course to

steer by compass from L to G, also the distance.

2. With the ship's head on the above-named compass course, a [point] [lighthouse] H bore by compass N 35° W. and A bore N 80° E. by the same compass. Find the ship's position.

3. With the ship's head as above, a [point] [lighthouse] F bore by compass N 86° E., and after continuing on the same course 21 miles, it bore S 69° E. Find the ship's position, and her distance from F, at the time of taking the second bearing.

ADDITIONAL FOR MASTers.

4. Find the course to steer by compass from L to G (See Question 1.) to counteract the effect of a current, which set W NW N., correct magnetic, at the rate of 4 miles per hour, the ship making by log 6 miles per hour; also the distance the ship will then make good in 5 hours towards G.

5.-On September 23rd, 1884, at 5 P.M., being off Fishguard, by reckoning, took a cast of the the lead. Required the correction to be applied to the depth obtained by the lead line before comparing it with the depth marked on the Chart.

PAPER III.

(Second Mate as far as Longitude by Chronometer.) Multiply 2410050 by 5 by common logarithms. Divide 174.6015 by 58.2005 by common logarithms.

1885. June 24th, in long. 151° 10' E.; the observed meridian altitude of the sun's lower limb was 69° 2′ 50′′, bearing North; index error + 1' 2"; height of eye 18 feet. Required the Latitude.

In lat. 37° 59' S. the departure made good was 37.5 miles. Required the difference of Longitude by Parallel Sailing.

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

Lat. of A 19° 10' N.
Lat. of B 51 30 N.

Long. of A. 121° 10′ E.
Long. of B 161 o E.

PAPER III.-Continued.

1884. January 7th. Find the Time of High Water at Tenby, A.M. and P.M.

1885. July 10th, at 4h 59m P.M., apparent time at ship in lat. 33° 10' S.; long. 16° 53′ E.; the sun's observed amplitude was S.W. W. Required the True Amplitude and Error of the Compass; and supposing the variation to be 30° 20' E., required the Deviation.

1885. February 20th, A.M., at ship in lat. 60° N.; the observed altitude of the sun's lower limb was 11° 21' 10"; height of eye 20 feet. Time by a chronometer February 19d 10h 13m 56s, which was 1m 15s fast for niean noon at Greenwich on October 31st, 1884, and losing 3.5° daily. Required the Longitude.

ADDITIONAL FOR ONLY AND FIRST MATES.

1885. June 14th, P.M., Mean Time at Greenwich, 14d 12h 0m 10s, in lat. 31° 10′ N.; long. 134° 38′ 30′′ W.; the sun's bearing by compass West; observed altitude of the sun's lower limb 49° 0' 10"; height of eye 18 feet. Required the True Azimuth and Error of the Compass; and supposing the variation to be 26° E., required the

Deviation.

1885. June 15th, A.M., at ship, lat. by account 38° 45' S.; long. 39° 40′ W.; the observed altitude of the sun's lower limb 27° 20′ 30′′ North of the observer; height of eye 19 feet. Time by chronometer 15d 2h 1m 2, which was 7565 slow on Mean Time at Greenwich. Required the Latitude by the Reduction to the Meridian.

ADDITIONAL FOR MASTter.

1885. June 21st, the observed meridian altitude of the star "Arcturus," bearing North, was 50° 26′ 46′′; height of the eye 22 feet. Required the Latitude.

Find the Index Error and the Sun's Semidiameter from the following readings of the Sextant: 30' 20" on, and 30' 50" off.

I