2. Feb. 18 19 45 57 3. Mar. 27 23 25 48 4. April 5 19 13 47

11 13

9 S.

3 6

4 N.

23° 52′ 30′′E. 138 18 45 E.

75

3 43 52

65 48 o E.

16 17 11+2 28

4 45 44

O 44 15 E.

5. April 30 18 54 3 6. June 14 17 56 42 7. July 5 O 33 8 8. Aug. 13 2 20 42 9. Aug. 31 19 12 18 10. Oct. 25 8 35 42 11. Nov. 27 7 13 53 12. Dec. 24 16 31 52 13. Jan. I 14 0 38 14. Feb. 10 21 33 26 15. Oct. 25 O 26 10 16. Feb. 5 23 59 40 17. April 20 15 48 56 18. Aug. 21 8 22 2 19. Mar. 20 I 57 46 20. June 14 II 6 16 21. Mar. 21 3 27 42

15

6 N.

28 18 45

23 19 17 N.

140 45

39 13

o E.

o E.

22 46

38 N.

48 47 5 +

52 16 15 W.

27 23 29+

78 57 30 W.

8 16

4 N.

2 37 44

40 31 I

21 15 16 S.
23 24 27 S.
22 55 56 S.

13 56 40 S.
12 33 43 S.
15 30 42 S.
11 50 37 N.
11 55 35 N.
O O 7 S.
23 18 32 N.

O 8

15 33

12 O

0 19

III 19 30 E.

230 о 95 23 45 W.

I 19

3 49 7

179 30 24 W.

3 40 26

179 35 21 E.

29

239

+7 32

4 3 49

88 29 15 W.

30 49 32 +0 2

I 53 42

165 I o E.

33

9 28

+ 7 13

250 6

92 38 45 W.

38° 34′ 32′′ 19°730879 N. 94° 22′ 20′′ E.
27 7 43 19 296540 S. 52 49 56 W.
19703908 S. 90 39 18 W.
19.652405 S. 84 9 52 W.
19 418763 S. 61 36 42 E.
19 808286 S.106 37 54 W.
19.600897 S. 78 22 16 E.
19758753 S. 98 29 12 E.
19.556656 N. 73 47 22 W.
19696885 N. 89 43 30 W.
19712212 N. 91 46 28 E.
19 259270 N. 50 27 22 E.
19732554 N. 94 36 42 W.
19:438802 N. 63 12 46 E.
19:243082 S. 49 27 40 W.
19650544 N. 83 56 36 W.
19:363968 S. 57 28 42 E.
19:425109 S. 62 6 48 W.
19.841771 S.112 54 22 E.
18 933854 N. 34 4 48 E.
19 345856 S. 56 11 8 E.

1. 23d23h 46m 78 2. 28 9 43 4 3. 27 O 34 12 4. 2 19 0 8 5. 26 21 932 6. 20 6 55 44 7. 31 I 6 46 8. 23 257 38 9. 31 18 33 8 16 39 N. 30 14 50 10. 25 7 30 28 20 53 10 S. 34 2 21 11. 16 22 58 23 22 49 S. 51 13 O 12. 2 16 18 50 22 58 55 N. 14 19 37 13. 6 249 30 22 26 53 S. 26 46 47 14. 25 I 43 33 13 18 35 N. 18 52 56 15. 29 6 53 47 17 45 39 S. 13 47 28 16. 2 22 23 16 58 28 S. 40 7 21 17. 26 0 2958 2 20 10 N. 32 50 59 18. 25 15 40 O 8 43 17 S. 60 48 32 19. 20 19 3 20 23 27 13 N. 15 46 28 20. 10 20 16 O 4 31 22 N. 42 38 43 21. 31 21 25 30 23 o 48 S. 45 22 20

I

VARIATION.

4° 22' 20" E. 10 13 56 E. 4 58 12 W. 8 19 52 E. 25 36 42 W. 23 2 6 W. 9 o 16 W. 25 10 48 E. 3 28 37 W. 9 26 30 E. 8 53 32 W. 11 32 38 W. 29 56 42 W. 14 37 14 W. 23 32 20 W. 26 46 36 W. 22 58 42 W. 10 21 48 E. 62 54 22 W. 10 45 12 W. 22 26 8 W.

EXAMINATION PAPER-No. I, Pages 190-191.

1. Log. 5'501368 Nat. No. 317226 nearly. (The product.)

2.

Log. 2.385606 Nat. No. 2430 nearly. (The quotient.)

Long. in 10° 52′ W.

3. TRUE COURSES.-S. 24 W., 15' dep. course; S. 33 W., 21; N. 5 W., 21;
N. 3 W., 18; N. 53 W., 15; S. 2} W., 13; S. 6 W., 17; S. 33 W., 8. Diff. lat. 22'0;
dep. 89' 2 W.; course S. 76° W.; dist. 92′. Lat. in 36° 41′ N.
4. Green. date, Jan. 1d 7h 18m 44; red. decl. 22° 57′ 25′′ S.;
Latitude 6° 49' 48" N.

By Raper: True alt. 60° 12′ 38′′. Latitude 6' 49′ 57′′ N.

5. Log. of diff. long. 2·394015 = Diff. long. 247'8.

true alt. 60° 12′ 47′′.

6. Diff. lat. 176' S.; mer. diff. lat. 319'; diff. long. 517' W.; log. tang. of course
10'209699; course S. 58° 19′ 28′′ W.; log. of distance 2·525263; distance 335'2.

7.

1h 37m A.M.; 2h 8m P.M.

7a. 4h 40m A.M.; 5h 12m P.M.

76. 7h 36m A.M.; 8h 2m P.M.

8. Green. date 1d 5h 23m 24s;

(Method II.)
(Method III.)

red. decl. 22° 57′ 51" S.; log. sine true amp. 9'788033.
True amp. E. 37° 51′ 55′′ S. Variation 23° 48′ 10′′ E.

9. Green. date 29d 6h 53m 49; red. decl. 17° 45′ 39′′ S.; true alt. 13° 47′ 28′′;
hour-angle 3h 23m 135; red. eq. time add 13m 32s; mean time ship 29d 3h 36m 453.
Longitude 49° 16′ 0′′ W.

Raper: True alt. 13° 47′ 13′′; hour-angle 3h 23m 15o. Longitude 49° 15′ 30′′ W.
IO. Green. date 15a 6h 11m 12s; red. decl. 21° 1′ 2′′ S.; true alt. 55° 18′ 24′′; sum
of logs. 19722335; true azimuth N. 93° 10′ 6′′ E. Variation 6° 10' 6" E.

By Raper: True alt. 55° 18′ 22′′; sin. sq. of azimuth 9.722337; true azimuth
N. 93° 10′ 7′′ E. Variation 6° 10' 7" E.

II.

Time from noon 16m 47s; Green. date 16d 14h 18m 55s; red. decl. 20° 45′ 28′′ S.;
true alt. 33° 7' 1"; nat. cos. mer. zen. dist. 548376; mer. zen. dist. 56° 44′ 40′′ N.
Latitude 35° 59′ 12′′ N.

Raper: True alt. 33° 6′ 59′′; 1st red. +8′ 18′′; 2nd red.
Towson: Aug. I, 3' 3"; index 30; aug. II, 5′ 10′′.
Star's decl. 16° 14' 1" N.; true alt. 52° 30' 36".
Raper: True alt. 52° 30′ 32′′. Latitude 53° 43′ 29′′ N.
13. N. 27° 32′ W.; N. 0° 22' W.; N. 38° 59′ E.

12.

- 1". Latitude 35° 59′ 16′′ N.
Latitude 35° 59′ 18′′ N.
Latitude 53° 43′ 25′′ N.

EXAMINATION PAPER-No. II, Pages 191—193.

I. 3'5738293748 25. (The product.)

2.

3.

1*16852314'7409. (The quotient.)

TRUE COURSES.-N. 3 E., 18′ dep. course; S. 7 E., 29; S. 6 E., 26; N. 3} E., 22;
N. 2 E., 18; S. 2 E., 15; S. 4 E., 21; S. 3 E., 12' current course. Diff. lat. 1'9;
dep. 115'5; course S. 89° E.; dist. 115. Lat. in 47° 29′ N.; diff. long. 171′ E.
Long. in 49° 42′ W.

4. Green. date, Jan. 31d 18h 47m 4o; red. decl. 17° 3′ 43′′ S.; true alt. 78° 17′ 52′′.
Latitude 5o 21' 35" S.

By Raper: True alt. 78° 17′ 50′′. Latitude 5° 21′ 33′′ S.
5. Log. of diff. long. 2.518908 = Diff. long. 330''3.

6. Diff. lat. 2404' S.; mer. diff. lat. 3104'; diff. long. 3692'; tang. course 10:075340;
course S. 49° 56′ 42′′ W.; log. of distance 3'572370; distance 3735′·6.

7. 3h 41m A.M.; 3h 56m P.M.

7a. 5h 47m A.M.; 6h 9m P.M.

(Method II.)

76. Semidiameter 15' 9"; corr. + 20m; 5h 40m A.M.; 6h 5m P.M.

(Method III.)

8. Green. date 19d 18h 10m 125; red. decl. 10° 52′ 54′′ S.; true amp. W. 11° 7′ 35′′S.
Variation 11° 22′ 25′′ E.

9. Green. date 9d 9h 30m 41s; red. decl. 14° 26' 5" S.; true alt. 9° 14′ 2′′; red. eq.
time add 14m 315; hour-angle 3h 38m 50s. Longitude 166° 15′ E.

Raper: True alt. 9° 13′ 51′′; hour-angle 3h 38m 518. Longitude 166° 14′ 45′′ E.

10. Green. date 16d 5h 29m 51s; red. decl. 12° 8′ 3′′ S.; true alt. 7° 15′ 55′′; sum
of logs. 19:402623; true azimuth S. 60° 21′ 28′′ E. Variation 24° 1′ 28′′ W.

Raper: True alt. 7° 15′ 43′′; sine sq. 9'402729; true azimuth S. 60° 21′ 58′′ E.
Variation 24° 1' 58′ W.

11. Time from noon 28m 48s; Green. date 14d 19h 54m; red. decl. 12° 36′ 57′′ S.;
true alt. 46° 31' 34" N.; nat. cos. mer. zen. dist. 729995; zen, dist. 43° 6' 50" S.
Latitude 55° 43′ 47′′ S.

Raper: True alt. 46° 31′ 28′′; 1st red. + 21′ 30′′; 2nd red.
Towson: Aug. I, 5′ 47′′; index 76; aug. II, 27′ 45′′.

12.

-

·4"; Lat. 55° 44′ 3′′ S.
Latitude 55° 43′ 35′′ S.

Star's decl. 5° 33′ 52" N.; true alt. 77° 14′ 26′′. Latitude 18° 19′ 26′′ N.
Raper: True alt. 77° 14′ 16′′. Latitude 18° 19′ 36′′ N.

13. S. 11° 57′ E.; S. 60° 42′ W.

EXAMINATION PAPER-No. III, Pages 193-194.

1. 4'486380 30646'4. (The product.)

2.

1.87549575'07. (The quotient.)

3. TRUE COURSES.-S. 6
N. 4 W., 24; N.4 W., 26;
dep. 16 E.; course S. 6° E.;
150° 3' E.

E., 17' dep. course; S. 3 W., 2017; S. 2 W., 20;
S. 72 E., 19; S. 3 E., 18; N. 4 E., 21. Diff. lat. 13·1 S.;
dist. 14. Lat. in 61° 47′ N.; diff. long. 3' E. Long, in

4. Green. date 20d 11h 33m 125; red. decl. o° 9′ 28′′ N.; true alt. 89° 54′ 37′′.
Latitude 0° 4' 5" N.

Raper: True alt. 89° 54' 32". Latitude o° 4' 0" N.

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

6. Diff. lat. 688' N.; mer. diff. lat. 786'; diff. long. 3625' W.; course N. 77° 45′ 58′′ W.;
distance 3247'.

7. 1h 13m A.M.; 1h 28m P.M.

7a. 2h 54m A.M.; 3h 29m P.M.

7b. oh 49m A.M.; 1h 11m P.M.

8.

(Method II.)

(Method III.)

Green. date 5d 20h 16m 16s; red. decl. 5' 35' 37" S.; true amp. W. 9° 9′ 3′′ S.
Variation o° 42′ 48′′ W.

9. Interval 130d 23h; Green. date 30d 22h 53m 12o·5; red. decl. 4° 15′ 27′′ N.; true
alt. 29° 19′ 55′′; hour-angle 3h 57m 9s; red. eq. time add. 4m 128'1; mean time ship
30d 20h 7m 3. Longitude 41° 32′ 15′′ W.

Raper: True alt. 29° 19′ 45′′; hour-angle 3h 57m 10s. Longitude 41° 32′ 15′′ W.
Green. date 9d 9h 43m 5s; red. decl. 4° 12' 34" S.; true alt. 18° 6′ 51′′; sum
of logs. 19603892; true azimuth N. 78° 39′ 38′′ E. Variation 7° 17′ 8′′ E.

IO.