17 33 45 W.
173 58 15 E.
55 5 30 E.
143 21 30 E.

N. 79 27 50 E.
175 12 47 E. N. 54 20 30 W.
54 6 42 E. N. 82 42 12 E.

41 28 25 W. 29 13 25 W.

7 3

30 38 48

3 8 35

43 8 6

31 5 47

9

1 0 20 40

81 28 39+09

28 48 47
81 38 24 0 0 18 7 8 4 46 43
102 34 18 +3 22 29 51 34 3 40 53
90 2 31

1 43 41
2 23 51
4 4 44

71 1 0 W.
147 38 15 E.
93 42 30 E.
56 3 15 E.
95 31 30 W.

7 17 48 W.
3 39 0 E.
10 37 11 W.
148 3 40 E. N. 36 48 0 W. 8 12 0 E. 2 33 0 E.
93 20 0 E. N. 40 55 36 W. 1 33 6 W. 12 46 54 E.
S. 98 32 16 W. 7 2 16 E. 11 17 16 E.
95 6 18 W. S. 98 48 0 W. 11 33 0 E.
168 30 45 W. 169 1 30 W. N. 67 34 30 E.

3 50 30 W. 20 0 30 W. 8 22 12 E.

53 3 9 2 23 48 173 28 0 W. 173 40 18 W. S. 77 36 30 W.

7 17 45 E.

1 22 15 W.

CHAPTER XVIII.

SUMNER'S METHOD.

1. First observation: T.A. 36° 26′ 20′′; P.D. 72° 29′ 5′′; eq. time, + 6" 0'; H.A.'s, 3 37TM 17 and 3" 36" 25'; longs., (a), 64° 14′ 30′′ E.; (b), 64° 27′ 30′′ E. Second observation: T.A. 43° 47' 38"; P.D. 72° 33′ 18"; eq. time, +5 58°; H.A.'s, 2h 49TM 12' and 2h 47m 37′; longs., (c), 64° 36′ 15′′ E.; (d), 64° 12′ 30′′ E.

(N. 15° E.

First line: {S. 15 W.); second azimuth, S. 63° W.; lat. 49° 27′ N.

long. 63° 52′ E.

2. First observation: T.A. 38° 26′ 23′′; P.D. 73° 54′ 28"; eq. time, +5 26; H.A.'s, 3 15 40′ and 3h 13m 56"; longs., (a), 4° 43′ 15′′ W.; (b) 4° 17′ 15′′ W.

Second observation: T.A. 40° 19' 48"; P.D. 73° 58′ 52"; eq. time, +5 24'; H. A.'s, 3h 2m 35' and 3 0 34'; longs., (c), 2° 0′ 15′′ W.; (d), 2° 30′ 30′′ W.

(N. 23° E.

W.

First line : {230 W); azimuth, S. 67° E.; second line: (N. 25° W

lat. 50° 0' N.; long. 2° 30′ 30′′ W.

3. First observation: T.A. 24° 9' 42"; P.D. 78° 35' 56"; eq. time, +2" 30'; H. A.'s, 4 23 33′ and 4 22 57′; longs., (a), 0° 18' 15" E.; (b), 0° 27′ 15′′ E.

Second observation: T.A. 48° 46' 26"; P.D. 78° 38′ 51′′; ; eq. time, +228; H.A.'s, 1' 11" 42′ and 1h 5m 19′; longs., (c), 2° 43′ 45′′ Ŵ.; (d), 1° 8' 0" W.

(N. 11° E.

First line: S. 11° W.; azimuth, S. 79° E.; lat. 50° 28′ N.; long.

0° 41' 30" W.

4. First observation: T.A. 48° 31′ 31"; P.D. 81° 18' 3"; eq. time, +0 18'; H.A.'s, 0h 52m 40′ and 0 39m 41′; longs., (a), 175° 15′ 45′′ W.; (b), 178° 30' 30" W.

Second observation: T.A. 19° 9' 3"; P.D. 81° 21' 45"; eq. time, + 0TM 15′; H.A.'s, 4 43 0' and 4" 42" 21'; longs., (c), 179° 32′ 15′′ W. ; (d), 179° 42′ 0′′ W. First line: N. 72° W.) S. 72° E.}; second azimuth, S. 81° W.; lat. 49° 17′ N.;

long. 179° 40′ W.

5. First observation: T.A. 27° 6′ 30′′; P.D. 90° 10′ 21′′; eq. time, - 7 23'; H.A.'s, 3 14 28 and 3 11 57'; longs., (a), 59° 56′ 30′′ W.; (b), 59° 18′ 45" W.

Second observation: T.A. 32° 27' 30"; P.D. 90° 4′ 38′′; eq. time, 7 28'; H.A.'s, 2 36 18' and 2 32 46′; longs., (c), 60° 17′ 15′′ W. ; (d), 61° 10′ 15′′ W. First line: N.33° W. S. 33° E.; azimuth, N. 57° E. ; lat. 46° 18' S.; long. 60° 27′ W. 6. First observation: T.A. 18° 27' 6"; P.D. 98° 27′ 58′′; eq. time, + 0" 6' ; H.A.'s, 3 13 54' and 3" 11" 24'; longs., (a), 109°34′ 15′′ W.; (b), 108° 56′ 45′′ W. Second observation: T.A. 26° 4' 10"; P.D. 98° 23' 10"; eq. time, +0 2'; H.A.'s, 2 6 27' and 2h 2m 0′; longs., (a), 109° 33′ 30′′ W.; (d), 110° 40′ 15′′ W. First line: 410; azimuth, N. 49° E.; lat. 49° 21′ S.; long. 109° 45′ W. 7. First observation: T.A. 21° 4' 7"; P.D. 71° 38' 7"; eq. time, + 6TM 12′ ; H.A.'s, 5" 15" 16′ and 5" 15" 29′; longs., (a), 167° 54′ 45′′ E.; (b), 167° 51′ 30′′ E. Second observation: T.A. 57° 12' 25"; P.D. 71° 40′ 18"; eq. time, + 6" 12" ; H.A.'s, 0 45 14' and 0 35 36'; longs., (c), 168° 15′ 15′′ E. ; (d), 170° 39′ 45′′ E. First line: (N. 6° W.) S. 6° E.; second azimuth, S. 73° E.; lat. 49° 44′ N. long.

166° 13' E.

(N. 41° W.

S. 41° E.

;

8. First observation: T.A. 11° 1′ 58′′; P.D. 91° 52′ 56′′; eq. time, 9 12'; H.A.'s, 4" 46" 19" and 4" 45" 0; longs., (a), 179° 27′ 30′′ E.; (6), 179° 47′ 15′′ E. Second observation: T.A. 26° 59' 56"; P.D. 92° 0′ 41′′; eq. time, - 9" 18" ; H.A.'s, 3' 1" 6' and 2 57m 16'; longs., (a), 177° 7′ 30′′ E.; (d), 176° 10′ 0′′ E. First line: (N. 15° E. S. 15° W.; azimuth, S. 75° W.; lat. 46° 40′ N.; long. 177 31' E.

CHAPTER XIX.

CHART.

1. (a) S. 17° E., 30° E., 18° W.; 35 miles.

(b) Lat. 52° 35' N.; long. 4° 17' W.; set N. 70° E.; dist. 51⁄2 miles. (c) Lat. 52° 20' N.; long. 4° 17′ W.; dist. 72 miles.

(d) S. 5° E.; dist. 20 miles; she steams 40 miles.

(e) Lat. 52° 24′ N.. long. 4° 31′ W.

2. (a) Comp. Co. S. 49° E.; dev. 15° E.; var. 18° W.; dist. 15 miles.
N. 85° E.; dev. 7° W.; var. 18° W.; dist. 23 miles.
N. 58° E.; dev. 21° W.; var. 18° W.; dist. 31 miles.
N.; long. 6° 24' W.; set S. 80° W.; dist. 3 miles.
N.; long. 5° 51′ W.; dist. 103 miles.

(b) Lat. 52° 6
(c) Lat. 52° 23

(d) Comp. Co. S. 42° E.; N. 87° E.; N. 49° E.; dist. 52 miles.
(e) Lat. 51° 56' N.; long. 6° 44′ W.

3. (a) Comp. Co. N. 23° E.; dev. 30° W.; var. 18° W.; dist. 173 miles. N. 63° E.; dev. 18° W.; dist. 37 miles.

99

(b) Lat. 51° 45′ N.; long. 5° 26 W.; set N. 14° W.; dist. 3 miles.
(c) Lat. 52° 17' N.; long. 5° 6' W.; dist 8 miles.

(d) Comp. Co. N. 71° E.; dist. made good 22 miles.
Total dist. steamed 32 miles.

CHAPTER XX.

NAPIER'S CURVE.

1. Correct magnetic bearing: N. 66° E.

Deviations: 17° W. 28° W. 24° W. 9° W. 16° E. 32° E. 26° E.

Compass courses: N. 71° E. S. 69° E.

S. 20° W. N. 42° W.

Correct magnetic bearings: N. 12° E. S. 44° E. S. 37° W. N. 35° W.

Deviation: 0.

Correct bearings: S. 80° W. N. 40° E.

3. Correct magnetic bearing: S. 14° W.
Deviations: 10° E. 15° E.

5° E.
Compass courses: N. 16° W.
Correct magnetic courses: N.
Deviation: 4° E.

Correct bearings: S. 57° W.
4. Correct magnetic bearing: N.
Deviations: 23 E. 18 E.
1° E. 65° E.

Compass courses: S. 57° W.

14° E. 8° W. 20° W. 18° W. 3° E. N. 51° E.

S. 75° W. S. 75° E.

56° W. N. 56° E. S. 27° E. N. 33° W.

N. 58° W.
8° W.

14° W. 10° W. 12° W. 1210 W.

N. 180 W. S. 73° E. S, 88° E.

Correct magnetic courses: S. 80° W. N. 40° E. S. 45° E. S. 1° E. Deviation: 16° E.

Bearings: N. 52° W. S. 39° W.

5. Correct magnetic bearing: N. 833° E.
Deviations: 21° 45′ E. 17° 45′ E.
15° 15′ W. 1° 15′ W.

Compass courses: N. 29° E.

0° 45′ E. 19° 15' W. 21° 15' W. 16° 45' E.

S. 86° E. S. 25° W. N. 26° W.

S. 31° E. 131° E. 291° W.

S. 731° E.

341° W. 20° 5′ W.

123° E.

S. 60

Correct magnetic courses: N. 583°E. S. 61°E. N. 87° W. N. 21° W. Deviation: 22° E. Bearings: 6. Correct magnetic bearing: S. Deviations: 183° E. 8° W. 294° E. 31° 20′ E. Compass courses: N. 2° E. Correct magnetic courses: N. 32° E. Deviation: 35° W.

E. S. 26° W. N. 81° W.
N. 50° E. S. 46° E. Ñ. 11° W.

CHAPTER XXI.

GREAT CIRCLE SAILING.

1. First course, S. 84° 44' 50" W.; last course, N. 63° 10′ 40′′ W.; lat. of vertex, 34° 43′ S., long. 9° 15′ E.; distance, 3269 miles.

2. Initial course, N. 56° 54′ W.; final course, S. 54° 18′ W.; distance, 4469 miles; lat. and long. of vertex, 48° 34' N., 169° 14′ W.

4. Courses, N. 48° 47' E., and S. 45° 23' E.; dist. 9904 miles; vertex, lat. 45° 52' N., long. 179° 14' W.