4. August 3rd, in long. 68° 45' E., the observed mer. alt. of the Sun's L.L. bearing S. was 58° 14' 40"; ind. err. 3' 25", height of eye, 27 ft. Required

the latitude.

5. In lat. 51° 30' S., long. 37° E., the departure made good eastward was 306 5 miles. Required the long. in by parallel sailing.

6. Required the compass course and distance by Mercator's sailing

7. January 19th, find the M.T.G. times of high water at Rotterdam.

8. August 5th, at ship, in lat. 38° 24' S., long. 130° 45′ E., when the time shown by chron. correct for G.M.T. was 10" 13"; the Sun's bearing by compass at rising was N. 64° 30′ E. Required the true amplitude, and error of the compass; and supposing the variation to be 6° 15′ W., required the deviation of the compass for the position of the ship's head.

9. August 7th, about 9 15" A.M. at ship, in lat. at noon 39° 31' 40" N.; long. by account 31° W.; the obs. alt. of Sun's L.L. was 53° 53' 10"; ind. err. +3', height of eye, 29 ft.; time by chron. 12 0 9′ which was slow 10' for G.M. noon, on January 9th, and on April 29th was correct; run since obs. W. 25 miles. Required the long. at sight, also brought up to noon. The sun's compass bearing was S. 30° E., var. 28° 15′ W., find the true azimuth, comp. error, and deviation.

10. September 2nd, about 3 30 P.M. at ship, in lat. 51° 25′ S., long. 174° 25′ E.; when the time shown by chron. was 3 54" 42", the Sun's bearing by compass N. 81° 30′ W., the error of the chron. on G.M.T. was 15 12 slow. Required the true azimuth and error of the compass by the Tables; and supposing the variation to be 30° 15′ E., required the deviation for the position of the ship's head.

11. August 25th, about 3 5 A.M. at ship, lat. by account 26° 16′ S., long. 35° 15′ W.; the alt. of Achernar bearing south was 57° 27′ 50′′; ind. err. + 2' 11"; height of eye, 26 ft.; time by chron. 5" 17" 32", which had been found to be 21" 7' fast of G.M.T. Required the lat. by reduction to the meridian.

12. September 23rd, A.M. at ship. If at sea and uncertain of my position when the chron. showed 23 9 51 13′ G.M.T.; the alt. of the Sun's L.L. 32° 50' 30"; again P.M. on the same day, when the chron. showed 23 13 51 9' G.M.T.; the alt. of the Sun's L.L. 32° 54′ 10′′; ind. err. -1′20′′; height of eye, 17 ft.; the ship becalmed heading east in the interval between the observations. Required the line of position when the first alt. was taken, the Sun's true azimuth when the second alt. was taken, and the position of the ship when the second alt. was observed by "Sumner's method" by projection on the chart, assuming the lats. 51° 15′ and 51° 45′ S. 13. August 14th, in long. 159° 15′ W., find the mean time of transit of a Arietis across the meridian.

14. On August 14th at 4a 15TM A.M. M.T.S., find what stars not less bright than the second magnitude are within two hours east of the meridian in lat. 32° 14' N., long. 159° 15′ W., above the horizon and pole. Give their meridian distances, and state bearing N. or S.; also find the approx. mer. alt. for setting the sextant of a Persei; ind. cor. 4' 29"; eye, 40 ft.

15. August 31st, about 6 P.M. at ship, in lat. 24° 19′ S., long. by account 180° E., when a chron. showed 6 4 3, which was slow on June 16th, 1 53'5; and was fast 1" 29"5 on Aug. 5th, for G.M.T.; the obs. alt. of Vega was 21° 29′10′′; ind. cor. - 2′ 15′′; eye, 28 ft. Find the long.

16. August 24th, when the M.T.S. was 2 15" A.M. in lat. equator, long. Greenwich, Rigel bore by compass S. 85° 30′ E. Find the true azimuth, and deviation, the variation being 20° 15′ W.

17. September 12th, when the M.T.S. was 4 40 15 A.M., in long. 136° 24′ E., the obs. alt. of Polaris out of the meridian was 39° 15′ 40′′ ind. cor.

3' 48" ; eye, 27 ft. Find the lat.

";

18. August 7th, in long. 90° 45′ E., the obs. mer. alt. of the Moon's L.L. was 49° 56′ 20′′ bearing south, ind. cor. + 2′ 45"; eye, 36 ft. Find the lat. State where tables giving the approx. time of most of the principal stars passing the meridian are to be found, the numbers of the tables, and whether given in mean or apparent time.

Can the approx. mer. pass. of a planet and its approx. alt. be found in the same way as in the case of a star?

State where the times of the mer. pass. of the principal planets may be found. Is the time given mean or apparent ?

19. August 12th, the obs. mer. alt. of the star a Arietis was 38° 47′ 40′′ bearing north; ind. err. - 5′ 25"; height of eye, 32 ft. Required the lat. 20.

Find correct magnetic bearing; construct a Napier curve.

With magnetic courses: E. W.S.W.
Required compass courses.

S.E. by S. N.N.W.

With compass courses: N.W. N.E. by N. N. S.S.W. E.S.E.
Required magnetic courses.

With ship's head at W.S.W. by compass, the compass bearings of distant objects were W. by S. and N. Find magnetic bearings.

21. On October 11th, at 7h 40m A.M. M.T.S., being off Fowey by reckoning, took a cast of 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.

22. August 1st, P.M. at ship in lat. 34° 28' S., when a chron. showed 7h 20m 35, estimated error, 6" 15' fast of G.M.T., approx. long. 66° E.; the following observations were taken for finding long, and error of chron., Observed alt. of a Pegasi 27° 16' 20", ind. cor. + 4' 13", eye, 44 ft.; observed distance between the star and Moon's remote limb, was 80° 14′ 40′′, ind. cor. -2′ 27′′.

23. September 23rd, lat. N., long. 82° 30' E. observations of the Sun's L.L. find the lat. by double

With the following alts. at second obs.

Ind. cor. -2′ 8′′.
Eye, 28 ft.

Sun's bearing at first obs. S. 46° E.; course and distance during interval, N. 60° E.; rate 58 knots per hour.

24. August 30th, about 9 A.M. M.T.S., a point in lat. 40° 28′ N., long. 25° 24'5 W., bore N. 27° E. from a ship, distant 9 miles; the obs. alt. of Sun's L.L. in an artificial horizon was 79° 10′ 20′′; ind. cor. -3′ 18′′. Time

by chron. 10 30, estimated slow 15" 15' of M.T.G. Find error on M.T.G. 25. Find the first course and distance on a G.C. from Wolf Rock, lat. 49° 57' N., long. 5° 48′ W., to Charleston lat. 32° 45′ N., long. 79° 52′ W.; also position of Vertex, lat. of points 5°, 10°, 15°, 20° from Wolf; and lat. at which the 61st W. mer. cuts the G.C. arc.

26. In a triangle PQR, Q = 90°, PR = 364, P = 28° 45'. 27. In triangle PQR, PQ = 417, PR = 243, P = 58° 26'. 28. In spherical triangle ABC, A = 36° 38', B = 101° Find AB.

Find PQ. Find R. 42', C = 90°.

29. In spherical triangle, A = 90°, B = 104° 25′, AC = 107° 39′. Find BC. 30. Coefficient B = -15° 36', C = +9° 24′. Find direction of ship's head whilst building.

Direction of ship's head whilst building S. 49° W., coefficient B = +20° 15'. Find C.

31. September 20th, 11h 48m P.M. M.T.S.; in lat. 49° S., long. 168° 15′ W. Name some stars which would be suitable for finding the correction of the compass.

find coefficients A, B, C, D, and E, and construct a table of deviations for all points from N to S, through W.

33. With a ship steering N.E. by N. on the port tack, heeling 12°; the heeling error was -15°. Required the error when steering E.S.E. on the port tack, and heeling 10°.

34. Construct a Mercator's chart, scale 1"51° long., extending from lat. 58° to 61° N., and 6° to 10° E. long. Graduate a degree of lat. and long. and place on it a magnetic compass showing points, variation 20° W.

Find the course and distance made good; lat. and long. of the ship. 4. September 23rd, in long. 28° 45′ W., the obs. mer. alt. of the Sun's L.L. bearing north, was 64° 53' 10"; ind. err. -4' 26"; height of eye, 37 ft. Required the latitude.

5. From lat. 40° 30' N., long. 39° 43′ W., the departure made good was 89 miles to the west. Required long. in by parallel sailing.

6. Required the compass course and distance by Mercator's sailing

From A, lat. 52° 50′ S.

41 12 N.

To B,,,
Variation, 18 25 E.

Long. 81° 10' W. 127 55 W. Deviation, 22 15 E.

7. January 30th. Find the M.T.G. of high water at Dungeness.

8. September 29th, about 6 5 P.M. at ship, in lat. 42° 10' N., long. 146° 58′ E., when a chron. correct for M.T.G. showed 8 2 33', the Sun's bearing by compass was N. 84° 30' W. Required the true amplitude, and error of the compass; and supposing the variation to be 0, required the deviation of the compass for the position of the ship's head.

9. August 4th, about 7" 15" A.M. at ship, in lat. at noon 15° 22' N., long. by account 37° 30′ E.; the obs. alt. of sun's L.L. was 22° 31' 10"; ind. err. -1' 30"; height of eye, 25 ft.; time shown by chron. 4" 42" 11', which was 9 442 slow for G.M. noon on April 20th, and on June 3rd was 10" 15° slow; run since sights, S. 67° E. 46 miles. Required the long. at sight, also brought up to noon; and if the compass bearing be N. 87° 30′ E., find true azimuth and deviation, the variation being 5° W.

10. September 1st, about 4" P. M. at ship, in lat. 44° 23′ S., long. 145° 17' E.; when a chron. correct for G.M.T. showed 6 24 35', the Sun's bearing by compass W. N. Required the true azimuth and error of the compass by the tables; and supposing the variation to be 10° 15′ E., required the deviation for the position of the ship's head.

11. August 7th, A. M. at ship, lat. by account 33° 15' N., long. 10° 57′ W.; the alt. of the Sun's U.L. 72° 53′; ind. err. +3'; height of eye, 16 ft.; time by watch 10h 57 58′, which had been found to be 44TM 10° slow of A.T.S.; the diff. long. made westward 17 miles after the error was determined. Required the lat. by reduction to the meridian, and if the run since observation was S. 11° W., 4 miles, find the lat. at noon.

12. September 29th about 1 20" P.M. at ship. If in long. by account 125° 30′ W., when the chron. showed 9h 26m 12 G.M.T.; the alt. of the Sun's L.L. 36° 33′ 40′′; again P.M. on the same day, when the chron. showed 12 2m 10' G.M.T.; the alt. of the Sun's L.L. 18° 39′ 20′′; ind. err. -2′ 5′′; height of eye, 34 ft.; the ship having made 43 miles on a true E. N. course in the interval between the observations. Required the line of position when the first alt. was taken, the Sun's true azimuth and the position of the ship when the second alt. was observed by "Sumner's method" by projection on the chart, assuming the lats. 48° and 48° 30′ N.

13. On Sept. 28th. At what apparent ship time will Capella cross the meridian of a place in long. 73° 48′ E.? Also by inspection?

14. What stars of brightness not less than 1.5 will be within 2 hours of the meridian of a place above the horizon and pole in lat. 30° 55′ S., long. 73° 48′ E., on September 28th at 5a 27TM A.M. M.T.Š.? Give meridian distances, and if ind. cor. be 3′ 47′′ to add, eye 35 ft., find approx. mer. alt. of Rigel for placing on sextant.

15. September 7th, about 7 P.M. at ship, in lat. 35° 20' N., long. by account 165° W., when a chron. showed ‍7 54′′ 50′, which was fast 1 58 5'4 on June 29th, and was fast 2 3 13'4 on August 3rd for G.M. noon, the obs. alt. of Altair was 53° 1′ 40′′; ind. cor. +1' 11"; eye, 29 ft. Find the longitude.

Are you acquainted with any maps, diagrams, or any other means for facilitating the recognition of the fixed stars and planets? If so, give a short description of the one you prefer, and how you use it.

16. August 27th at 1 15" A.M. A.T.S. in lat. 47° 24′ N., long. 68° 19′ W., the compass bearing of Altair was S. 81° W. Find the true azimuth from the "tables," compass error, and deviation, supposing the variation to be 14° 30' W.

17. September 7th, when the G.M.T. was noon in long. 125° 40′ E., the