EXAMINATION PAPER-No. I, Pages 326-327.

1. Log. 5861612

2. Log. 2.698971 nat. no. 110.

3.

nat. no. 727130. Log. 5'745622 = nat. no. 556700.
nat. no. 500. By Raper: log. 2.698970 =
=

500; log. 2'041393 =

True Courses.-S. 14° W., 15' dep. course; S. 28° W., 45'; N. 76° W., 49'; N. 48° W., 38'; N. 85° W., 31′; S. 22° W., 36′'; S. 54° W., 41'; S. 42° W., 8' current course. Diff. lat. 77'7 S., dep. 183'4 W.; course S. 67° W.; dist. 199'. Lat. in 35° 45′ N.; mid. lat. 36° 24'; diff. long. 228'; long. in 12° 48′ W.

4. Green. date, Jan. 1d 6h 50m 44; red. decl. 22° 58' 11" S.; true alt 60° 12′ 47′′; latitude 6° 49′ 2′′ N.

By Raper: True alt. 60° 12′ 39′′. Latitude 6° 49′ 10′′ N.

5. Log. of diff. long. 2.048016= diff. long. 111'7.

6. Diff. lat. 219' S.; mer. diff. lat. 292'; diff. long. 380'W.; log. tang. of course 10*114401; course S. 52° 27′ 38′′ W.; log. of distance 2.555608; distance 359'4.

8. Green. date, January 1d 5h 23m 24; red. decl. 22° 58' 30" S.; log. sine true amp. 9788227. True amp. E. 37° 53′ 7′′ S. Error of compass 21° 0′ 37′′ E. Deviation 2° 51′ 23′′ W. 9. Interval 319, rate 63 gains. Interval 284 7h, acc. rate 2m 5882, Green. date, Jan. 29d 6h 53m 49°, red. decl. 17° 47′ 45′′ S., true alt. 13° 47′ 28′′, hour-angle 3° 23′ 1′′, red. eq. time add 13m 275, mean time at ship 29d 3h 36m 298. Longitude 49° 20′ W.

Longitude 49° 19′ 30′′ W.

Raper: True alt. 13° 47′ 12": hour-angle 3h 23m 3o. 10. Green. date, Jan. 15d 6h 11m 12a3, red. decl. 21° 2′ 27′′ S., true alt. 55° 18′ 24′′, sum of logs. 19722644, true azimuth N. 93° 12′ 42′′ E. Error of compass 16° 12′ 42′′ E. Deviation 8° 22′ 42′′ E.

By Raper: True alt. 55° 18′ 22′′, sine sq. of azimuth 9°722645, true azimuth N. 93° 12′ 42′′ E. Error of compass 16° 12′ 42′′ E. Deviation 8° 22′ 42′′ E.

II.

Time from noon 16m 47, Green. date, January 16d 14h 18m 55, red. decl. 20° 46′ 59′′ S., true alt. 33° 7′ 1′′, nat. no. 2026, nat. cos. mer. zen. dist. 548 376, mer. zen. dist. 56° 44′ 40′′ N. Latitude 35° 57′ 41′′ N,

METHOD II.-Raper: True alt. 33° 6' 58", reduction + 8' 19". Latitude 35° 57′ 43′′ N.
Towson Aug. I, 3' 5", aug. decl. 20° 50′ 4′′, index 30.
Latitude 35° 57' 45' N. Aug. II,

5' 10". Latitude 35° 57′ 45′′ N.

12. 1st Red. decl. 20° 54′ 49′′ S.; eq. T. + 10m 2o3; true alt. (Norie) 13° 0′ 53′′; alt. 13° 0′ 53′′; lat. 48° 50'; polar dist. 110° 54′ 49′′; hour-angle 2h 26m 13, long. 8° 3′ W. (A). Alt. 13° 0'53"; lat. 49° 30'; polar dist. 110° 54′ 49′′; hour-angle 2h 20m 128. Longitude 6° 32′ W. (A'). The line of bearing at the first observation trends N.E. E. (easterly) and S.W. W. (westerly). The position of the ship at the second observation is lat. 49° 42' N., long. 7° 57′ W.

13. Star's decl. 16° 16′ 14′′ N., true alt. 52° 30′ 36′′. Latitude 53° 45′ 38′′ N. Raper: True alt. 52° 30′ 32′′. Latitude 53° 45′ 42′′ N.

The Curve.-Correct magnetic bearing S. 79° W.

S. 79° E.; S. 81° W.
S. 7° E.; S. 67° W.

Deviations.-15° W.; 0°; 10° E.; 14° E.; 15° E.; 7° E.; 10° W.; 21° W.
Compass courses.-N. 47° W.; N. 273° E.;
Magnetic courses.-N. 41° W.; N. 73° E.;
Bearings, magnetic.-N. 84° E.; N. 14° W.

EXAMINATION PAPER-No. II, Pages 329-331.

1. 7.60232140024074. Log. 6·297979 = nat. no. 1986000.

2. 2168747 147 485. Log. 5'000004 nat. no. 100001.

3.

True Courses.-N. 51° E., 18' dep. course; S. 73° E., 52'; S. 58° E., 43'; N. 57° E., 36'; N. 38° E., 27′; S. 21° E., 24'; S. 40° E., 29'; S. 39° E., 12', current course. Diff. lat. 39'7 S.; dep. 181'8 E.; course S. 78° E., 186'. Lat. in 46° 51′ N.; mid. lat. 47° 11′; diff. long. (mid. lat.) 267, or 4° 27′ E. Longitude in 48° 51′ W.

4. Green. date, Jan. 31d 18h 47m 4, or long. in time 5h 12m 56s; red. decl. 17° 5′ 56′′ S.; true alt. 78° 17′ 52". Latitude 5° 23′ 48′′ S.

By Raper: True alt. 78° 17′ 51′′. Latitude 5° 23′ 47′′ S.

5. Log. of diff. long. 2.232899 = diff. long. 171''0.

6. Diff. lat. 2404' S.; mer. diff. lat. 3104'; diff. long. 3692′ W.; tang. course 10:075340; course S. 49° 56' 42" W.; log. of distance 3'572370, distance 3736'.

8. Green. date, February 19d 18h 10m 129; rod. decl 10° 55′ 36′′ S.; sine 9.287272; true amp. W. 11° 10' 21" S. Error of compass 19° 45′ 54′′ E. Deviation 9° 25′ 54′′ E.

9. Interval 214; rate 108 losing; Interval 30d 9h; acc. rate 5m 28*; Green. date, Feb. 9d 9h 30m 41'; red. decl. 14° 28′ 38′′ S.; true alt. 9° 14′ 3′′; red eq. time add 14TM 27′′; log. 9'323467; hour-angle 3h 38m 328. Longitude 166° 18′ 30° E.

Raper: True alt. 9° 13′ 52′′; sine sq. 9°323548; hour-angle 3h 38m 34′. Long. 166° 18′ E. 10. Green. date, Feb. 16d 5h 29m 51a; red. decl. 12° 10′ 43′′ S.; true alt. 7° 15′ 55′′ ; sum of logs. 19'401578; true azimuth S. 60° 16' 40" E. Error 23° 56' 40" W. Deviation 1o 3' 20' E.

II.

Raper: True alt. 7° 15′ 43′′; sine sq. 9'401643 = S. 60° 16′ 58′′ E. Deviation 1° 3' 2" E. Time from noon 28m 488; Green. date, Feb. 14a 19h 54m; red. decl. 12° 39′ 34′′ S.; true alt. 46° 31′ 34′′ N.; nat. no. 4305; nat. cos. 729994; zen. dist. 43° 7' 7" S. Latitude 55° 46' 41" S.

METHOD II.-Raper: True alt. 46° 31′ 28′′; reduction + 21′ 34′′. Latitude 55° 46′ 32° S. Towson Aug. I, 5′ 46′′; index 76; aug. decl. 12° 45′ 20′′; Aug. II, 27′ 28′′. Latitude 55° 46' 18' S.

12. 1st red. decl. 16° 37′ 43′′ S.; red. eq. T. + 14m 15; true alt. 19° 59′ 43′′; lat. 47° 10′ gives hour-angle 2h 8m 26; long. 179° 8' E. (A). Lat. 47° 40′ gives hour-angle 2h 3m 44; long. 180° 18′ E. or 179° 41′ W. (A'). 2nd red. decl. 16° 33′ 40′′ S.; eq. T. + 14 38; true alt. 11° 12′ 34′′; lat. 47° 10' gives hour-angle 3h 27m 0s; long. 180° 17' E. or 179° 42′ W. (B). Lat. 47° 40' gives hour-angle 3h 24m 318; long. 179° 40′ E. The line of bearing at first observation lies N.E. by E. (casterly), and S.W. by W. (westerly). The position of ship at the time of second observation is lat. 47° 18}' N.; long. 179° 53′ W.

13. Star's decl. 5° 31′ 20′′ N.; true alt. 77° 14' 26". Latitude 18° 16′ 54′′ N.

Raper: True alt. 77° 13′ 38′′.
The Curve.-Correct magnetic
Deviations. -5° W.; 19° E.;
Compass courses.-N. 43° E.;

Latitude 18° 17′ 42′′ N.
bearing S. 39° E.

23° E.; 13° E.; 4° E.; 8° W.; 22° W.; 24° W.
N. 68° W.; N.W. by W.; N. 83° E.

Magnetic courses.-S. 82° W.; N. 52° E.; S. 35° W.; S.S.E.

Bearings, magnetic.-S. 80° W.; S. 13° E.

EXAMINATION PAPER-No. III, Pages 331-333.

1. 3726356=5325'44; 6'370772=2348400.

2. 1875495 = 75°075; 2°301030 200.

3.

True Courses.-S. 70° E., 17′ dep. course; S. 37° W., 21′; S. 24° W., 20'; N. 62° W., 24′; N. 64° W., 26′; S. 77° E., 19'; S. 28° E., 18'; N. 54° E., 21' current course. Diff. lat. 26' 1 S.; dep. 5'3 W.; course S. 11° W.; dist. 27'. Lat. in 61° 34′ N.; diff. long. 11′ W.

Long. in 149° 49′ E.

4.

Green. date, March 20d 11h 33m 12a, or long. in time 11h 33m 12o; red. decl. 0° 6′ 32′′ S.; true alt. 89° 53' 28". Latitude o.

Raper: True alt. 89° 53′ 22. Latitude 。° 0′ 6′′ S.

5. Log. of diff. long. 2.679550 diff. long. 478'1.

6. Diff. lat. 688' N.; mer. diff. lat. 786'; diff. long. 3625' W.; tang. 10663885; course N. 77° 45′ 58′′ W.; log. of distance 3'511449; distance 3247'.

8. Green. date, March 6d 14h 47m 28;

amp. W. 8° 44' 30" S.; Correction 8° 8' E.;

O 55 ;

O 15 P.M.

red. decl. 5° 20′ 41′′ S.; sine amp. 9.181777; true deviation 15° 52′ W.

9. Interval 414; rate 558 gaining; interval 89d 23h; acc. rate 8m 4187; Green. date March 30d 22h 53m 1285; red. decl. 4° 12′ 33′′ N.; true alt. 29° 19′ 56′′; hour-angle 3° 57′ 4′′; red. eq. time and 4m 13; mean time ship March 30d 20h 7m 9. Longitude 41° 30′ 52"*5 W. Raper: True alt. 29° 19′ 45′′; hour-angle 3h 57m 5o. Longitude 41° 31′ 75 W.

10.

Green. date, March 9d 9h 43m 5o; red. decl. 4° 15′ 37′′ S.; true alt. 18° 6′ 51′′; sum of logs. 19.604572, true azimuth N. 78° 44′ 4′′ E. Correction 7° 21′ 34′′ E.; deviation 3° 28′ 26′′ W. Time from noon 10m 143; Green. date March 24d 18h 13m 34°; red. decl. 1° 47′ 40′′ N. ; true alt. 71° 20′ 43′′; nat. no. 937; nat. cɔs. mer. zen. dist. 948400 18° 29′ 10′′ N. Latitude 20° 16′ 44" N.

11.

12.

METHOD II.-Raper: True alt. 71° 20' 37" + 10' 17". Latitude 20° 16′ 46′′ N. Towson Aug. I, + o' 7"; index no. 13. Aug. II, + 10′ 14′′. Latitude 20° 16′ 50′′ N. 1st red. decl. 2° 50′ 28′′·5 N.; 1st eq. T. + 5m 180; true alt. 36° 49′ 14′′; lat. 51° 30' gives hour-angle 1h 42m 34"; long. 180° 55′ W. or 179° 5′ E. (A); lat. 51° 0′ gives hourangle 1h 47m 24; long. 182° 7′ W. or 177° 52′ E. (A'). 2nd red. del. 2° 56′ 31′′ N.; 2nd red. eq. T. +5m 13; true alt. 15° 23′ 34′′; lat. 51° 30' gives hour-angle 4h 35m 1; long. 179° 14′ W.; lat. 51° o' gives hour-angle 4h 35m 53*; long. 179° 1′ W. The line of bearing trends N.E. by E. and S. W. by W.; the position of ship at the time of second observation, lat. 51° 39' N., long. 179° 18′ W.

13. Arcturus' decl. 19° 47′ 33′′ N.; true alt. 36° 7′ 27′′. Latitude 34° 5′ 0′′ S. Raper: True alt. 36° 7′ 22′′. Latitude 34° 5′ 5′′ S.

The Curve.-Correct magnetic bearing S. 70° E.

Deviations.-3° W.; 20° E.; 25° E.; 23° E.; 2° E.; 24° W.; 25° W.; 18° W.

Compass courses.-N. 35° E.; S. 82° W.; N. 851° W.; S. 49° E.

Magnetic courses.-S.E. by S.; N. 843° E.; N. 86° W.; N.W. by N.

Bearings, magnetic.-N. 87° W.; N. 78° E.

EXAMINATION PAPER-No. IV, Pages 333--334.

1. Log. 5'119863131784 Log. 4'861964 72772.

2. Log. 3'510784324178 nearly. Log. 2033424 = 108.

3. True Courses.-S., 19' dep. course; S. 59° W., 58′; N. 11° W., 15'; S. 28° E., 9'; S. 82° W., 50'; N. 72° E., 12'; S. 58° W., 22'; S. 62° W., 42', current course. Diff. lat. 76'8 S.; dep. 142'3 W.; course S. 62° W.; dist. 162'. Lat. in 51° 29′ S.; diff. long. 225′ W. Longitude in 183° 25′ W., or 176° 35′ E.

4. Green. date, April 1d 5h 50m 48; red. decl. 4° 42′ 29′′ N.; true alt. 48° 55′ 26". Lat. 45° 47′ 3′′ N.

Raper: True alt. 48° 55′ 19′′.

Latitude 45° 47' 11" N.

5. Log. of diff. long. 2·364667 = Diff. long. 231.6.

6. Diff. lat. 325′ N.; mer. diff. lat. 552′; diff. long. 325′ W.; tang. course 9'769944; course N. 30° 29′ 17′ W.; log. dist. 2·576509; dist. 377'2. +2b45m; no A.M., to I ; no A.M., -1 56; oh 4m A.M.,

7. Standard, Brest

Hull

Thurso

and oh 18m P.M.

and o 20 P.M.
and o 46 P.M.
and no P.M.

and o 14 P.M.

+0 44; II 43 A.M., and no P.M.

8. Green. date, April 27d 23h 18m 50'; red. decl. 14° 11′ 48′′ N.; log. sine 9'494965; true amplitude W. 18° 12′ 54′′ N. Error 15° 32′ 6′′ W.; deviation 3° 37′ 54′′ E.

9. Interval 12 days; rate 113 losing; interval 70d 22h; acc. rate 13m 212; Green. date, April 14 21h 59m 3o; rel. decl. 9° 48′ 0′′ N.; red. eq. time subt, om os; true alt. 26° 37′ 25′′; Longitude 75° 1′ 30′′ E.

hour-angle 2h 59m 9.

10.

Raper: True alt. 26° 37′ 20′′; sine sq. 9'161814; hour-angle 2h 59m 9o. Long. 75° 1′ 30* E. Green. date, April 17d 2h 43m 25"; red. decl. 10° 34′ 40′′ N.; true alt. 42° 20′ 39′′; sum of logs. 19449652; true azimuth S. 64° 6′ 18′′ W. Error 25° 53′ 42′′ W.; deviation 6° 3' 42" W.

Raper: True alt. 42° 20′ 34′′; sine sq. 9'449680; true azimuth S. 64° 6′ 15′′ W. Error of compass 25° 53' 42" W.; deviation 6° 3′ 42′′ W.

II. Time from noon 28m 388; Green. date, April 18d 11h 38m 34°; red. decl. 11° 3′ 23′′ N.; true alt. 54° 20′ 16′′; nat. no. 5291; nat. cos. mer. zen. dist. 817759 = 35° 8' 20" N. Lat. 46° 11′ 43′′ N.

METHOD II.-Raper: True alt. 54° 20′ 12′′; +31′ 33′′. Latitude 46° 11′ 38′′ N.

Towson Aug. I, + 5' 10"; index no. 76. Aug. II, +36′ 28′′. Latitude 46° 11′ 49′′ N. 12. 1st red. decl. 6° 32′ 26′′ N.; eq. T. + 2m 248; true ait. 45° 18' 15"; lat. 50° 20′ gives hour-angle oh 42m 45; long. 7° 34′ W. (A); lat. 50° 50' gives hour-angle oh 28m 45; long. 11° 34′ W. (A'). 2nd red. decl. 6° 35′ 22' N.; eq. T. + 2m 2186; true alt. 25° 2′ 12′′; lat. 50° 20′ gives hour-angle 3h 52m 30%; long. 7° 8' W.; lat. 50° 50′ gives hour-angle 3h 51m 158; long. 7° 26' W. The line of bearing at first observation trends E. by S. and W. by N.; the position of ship at the time of second observation is lat. 50° 59′ N., long. 7° 32′ W. 13. Spica's decl. 10° 32′ 59′′ S. Latitude 58° 36′ 21′′ N. Raper: True alt. 20° 50′ 30′′. Latitude 58' 36′ 31′′ N. bearing S. 2° E.

The Curve.-Correct magnetic

Deviations.-4° W.; 7° W.; 12° W.; 18° W.; 3° E.; 22° E.; 15° E.; 1° E.

Compass courses.-
s.-N. 88° E.; N. 59° W.; S. 14° W.; S. 19° E.

Magnetic courses.-N. 56° W.; N. 87° W.; East; N.E.

Bearings, magnetic.-N. 67° W.; S. 84° W.

EXAMINATION PAPER-No. V, Page 335--336.

1. 4838071 = nat. no. 68876-5.

3. True Courses.—S. 65° E., 23′ dep. course; S. 6° E., 56′; S. 14° W., 17′; N. 80° W., 13'; E., 37′; S. 44° W., 31′; N. 26° E., 17'; N. 85° E., 48' current course. Diff. lat. 82'4 S., dep. 80'6 E.; course S. 44° E., dist. 115'. Lat. in 65° 24′ S., mid. lat. 64° 43′, diff. long. 189' E. Long. in 178° 30' W.

4. Green. date, May 8d 7h 1m 8; red. decl. 17° 12′ 48′′ N.; true alt. 76° 14′ 11′′. Lat. 3° 26' 59" N.

Raper: True alt. 76° 14′ 3′′. Latitude 3° 26′ 50′′ N.

5. Log. of diff. long. a'992876 = Diff. long. 983.7.

6. Diff. lat. 732′ S.; mer. diff. lat. 881'; diff. long. 1098′ W.; log. tang. 10:095626; course S. 51° 15′ 27′′ W.; log. of distance 3·068060; distance 1169.6. 7. Standard, Greenock constant

oh 56m; 6h 58m A.M., and 7h 28m P.M.

log. sine 9.694581; true

8. Green. date, May 20d 16h 6m 24'; red. decl. 20° 9′ 18′′ N.; amp. E. 29° 40′ 5′′ N. Error of compass 12° 31′ 10′′ E.; deviation 19° 18′ 50′′ W.

4 9'; Green. date,

9. Interval 36d; rate 49 gaining; interval 50d 21; acc. rate May 214 20h 59m 16"; red. decl. 20° 23′ 48′′ N.; red. eq. T. subt. 3m 355-6; true alt. 32° 19′ 31′′; sum of logs. 9'452117; hour-angle 4h 17m 13"; mean time at ship May 214 19h 39m 11. Longitude 20° 1′ 15′′ W.

Raper: True alt. 32° 19′ 21′′; hour-angle 4h 17m 14. Longitude 20° 1′ 30′′ W.

IO.

Green. date, May 25d 9h 53m 51'; red. decl. 21° 3′ 26′′ N.; true alt. 40° 54′26′′; sum of logs. 19 603544; true azimuth S. 81° 57′ 40′′ W. or N. 98° 2′ 20′′ W. Error 20° 27′ 40′′ E.; deviation 9° 57′ 40′′ E.

II.

red. decl. 17° 45′ 6′′ N.; true Latitude 28° 10' 28" S. Latitude 28° 10′ 26′′ S.

Raper: True alt. 40° 54′ 22′′; sine sq. 9'633554; true azimuth S. 81° 57′ 44′′ W. or N. 98° 2′ 16′′ W. Error 20° 27′ 40′′ E.; deviation 8° 57′ 40′′ E. Time from noon 25m 258; Green. date 10d 7h 54m 25°; alt. 43° 39′ 55′′; nat no. 5144; mer. zen. dist. 45° 55′ 34′′ S. METHOD II.-Raper: True alt. 43° 39′ 49′′; + 24′ 39′′. Towson: Aug. I, + 6′ 16'; index 63. Aug. II, +18′ 17′′. 12. 1st red. decl. 21° 46′ 17′′ N.; 18t red. eq. T. - 2m 465.3; 50° o'gives hour-angle 5h 13m 24; long. 9° 21′ W. (A).

Latitude 18° 10′ 26" S. 1st true alt. 23° 52′ 16′′; lat. Lat. 50° 30' gives hour-angle

5h 13m 43; long. 9° 26′ W. (A′). 2nd red. decl. 21° 48′ 46′′ N.; 2nd red. eq. T. subt. 2o 44a ; 2nd true alt. 56° 56′ 35′′. Lat. 50° o' gives hour-angle 1 27m 50; long. 10° 29′ W. (B). Lat. 50° 30' gives hour-angle 1h 23m 54; long. 10° 29′ W. (B'). The line of bearing at the first observation trends N. W. and S. E. The position of the ship at the second observation is lat. 50° 5' N., long. 10° 40′ W.

The Curve.-Correct magnetic bearing N. 87° E.

Deviations.-3° W.; 15° W.; 23° W.; 22° W.; 2° E.; 24° E.; 23° E.; 13° E.
Compass courses.-N. 45° E.; S. 7140 W.; S. 49° E.; S. 394° W.

Magnetic courses.-N. 20° W.; N. 46° E.; S. 76° E.; S. 61° W.
Bearings, magnetic.-S. 8° E.; S. 85° W.

EXAMINATION PAPER-No. VI, Pages 336-338.

1. 0622110 nat. no. 4:189. (The product).

2. 4'021468 nat. no. 10506 77. (The quotient).

3. True Courses.-S. 73° E., 23 dep. course; 8. 75° E., 17'; 8. 33° E., 22'; S. 1° W., 24'; S. 61° E., 25'; N. 69° W., 18′; S. 43° W., 17′; N. 11° E., 16' current course. Diff. lat. 55'9 S., dep. 46'6 E.; course S. 40° E., dist. 73'. Lat. in 55° 16' N.; diff. long. (Mercator) 82'9 E.; long. in 134° 17′ W. Diff. long. (by mid. lat.) 83' E.; long. in 179° 57′ W.

KKK