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valves and slides, &c. as may be necessary, and should require the applicant to make use of them in giving his answers to the various questions put to him; and if an opportunity offer, he applicant shou be permitted, under the guidance of the Engineer, to start and stop an engine of some vessel which may have her steam up.

N.B.-LARDNER on the Steam Engine,” and Murray " on the Marine Engine,” two books published in Weale's Rudimentary Treatises, give considerable information, in a very concise manner, on the foregoing Questions; but it must be borne in mind, that a practical knowledge of the Steam Engine will alone enable the Candidate to enter into all the details to the satisfaction of the Examiners ; this practical knowledge can only be acquired by spending a short time in an Engineer's Workshop, or on board one of the numerous Steamers of our Coast.

Answers to Miscellaneous Questions in Arithmetic, pp. 15, 16.

1. 2. 3. 4.

5.

10,010,010 33972 845544960 inches 90660004 909,040; 239590 311592960 ounces 60704090 104,090,009 185627 12934753920 barleycorns 82090007 90,204,050 1029875

15. 16. 17. 18. 19. 20. 21. 22. 23. 24.

6. 7. 8. 9. 10. 11. 12. 13. 14.

25. 26. 27.

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Answers to the Exercises in Logarithms, 8c. pp. 18, 19.

25485917760000 seconds
807098000
100,060,409
760715
48777442560 inches
6409010178
900,002,001
1005721
8793360000"
2000007
£ 2912 148. 31d.
75=
£3635 2s.

4.601038
1.255417

5.602060 3.662758

407 •78 + 1639.8+

10016:37 100340.4+

8.504198
8.246654

1. 3.829561 3.857332 4.640581

1.165244 3.810904 0.588160 2. 5.8672 + 6.6308 + 237.08 +

74.854 + 82.035 + 1259 •7+ 3. sine 9.867731

9.217122 9.978387

9.972463 cosine 9.907282

8.361681 9.972585

9.937470 tangent 9.613707

8.297036 9.879657

8.258262 1. cotangent 10.094133

9.783450 9.684753

10.793269 secant 10.028424

10.151822 10.059001

10.714159 cosecant 10.149446

10.025635 10.100598

10.061659

8.246773 9.505271 10.109995 10.348195

9.518992 11 .263849 10.503501 10.104167 10.203770 10:559516

5.

80 43' 6" 77 14 19 23 43 17 61 3 33 22 35 46 50 57 26

78° 8'50" 15 31 22 81 53 25

7 34 15 35 39 40 60 13 52

6.

300

7.

4500

8. 9.

6309 2148

10.

11.

12.

13.

14.

7000 324632 23105 + 479.87+ 3.8293 + •036902 + 22 70-6363 + 12

15. 16. 17. 18, 19. 20. 21. 22. 23.

1

1° 39' 39"
41 12 21
35 3 31
76 40 15
88 22 22
1 57 4

4° 1' 28"
84 40 38
48 58 24
88 20 53
86 22 56
5 43 39

24. 25. 26. 27. 28. 29. 30. 31. 32.

10
240.29 +
1850
086956 to
1.70648
884403.6 to
•129996
2116

8836
103823 250047
69253 864.25 +
33.163 39.611 +
¥113.2.11jd.
£ 225. 18s.
45.84d.
£7.108.144.5

00005625
0000006382 +

•026569
001295 to
.80436 +
91113

33.

34.

1

Answers to the Days Works. pp. 20—23.

1. Diff. lat. 54 .3'S. : dep, 31 .4'E. : Course S. 30°E. dist. 63'

Lat. in 35° 45'S. : diff, long. 39'E. : Long. in 20° 41'E. 2. Diff. lat. 19'S. : dep 57-5’W. : Course S.713°W. dist. 61 65'

Lat. in 40° 10'N. : diff. long. 1° 15'W. : Long in 125° 47'W. 3. Diff. lat. 128 •5's. ; dep. 11 •8'E. : Course S.5°E. dist. 129'

Lat. in 270 48'S. : diff. long. 13' E. : Long. in 45° 15'E. 4. Diff. lat. 22 •6’S. : dep. 3:3’E, : Course S.8°E. dist. 23'

Lat. in 37° 58'S. : diff. long. 4' : Long. in 150° 9'E. 5. Diff. lat. 60 •8'S. : dep. 66.8'W. : Course S. 48° W. dist. 91'

Lat. in 3° 23'N. : diff. long. 67' W.: Long. in 8° 53'W. 6. Diff. lat. 25.9'N. : dep. 16 •4'W. : Course N.33°W. dist. 31'

Lat. in 34"S. : diff. long. 20'W. : Long. in 172° 18' E. 7. Diff. lat. 31:2'S. : dep. 10-7' E. : Course S. 19°E. dist. 33'

Lat. in 26° 10'S. : diff. long. 12' : Long. in 45° 19'E. 8.

Diff. lat. 16'S. : dep. 159 •2'W:: Course S.8470W. dist. 160'
Lat. in 34° 46'S. : diff. long. 191' : Long. in 169° 38'E.

Answers to the Exercises for the Ordinary Examination.

PAPER 1.-p. 27.

[blocks in formation]

3.514282 = 3268
1:556302=36
Diff. long. 155.07' +
Dec. 0° 1' O'N. Lat. 27° 40' 35"N.
Course N.560 9'50"W. Dist. 6618 miles.
A.T.G. 60. lh. 36m. Dec. 22°30'S. True ampl. E. 23° 23'55"S.

Variation 5° 3' 55"E.
8h 10m. a,m.

8h 36m. p.m.
M.T.G. 6d. Sh. 8m. Dec. 22°28'S. True azim.N.75°49'34"W.

Variation 21° 20'26"E.
M.T.G. 5d. 18h.57m. 30s. Dec. 22° 32'S. Eq. time 6m. 3s.

9.

A.T.S. 6d. 3h. 37m. 53s. Long. 131° 36' 30"E.
A.T.G. 5d. 15h. 25m. Dec. 22° 33'S. Mer.zen.dist.39°12'16"S.

Lat. 61° 45' 16"S.
N. 55°E. S. 71°30' E: S. 17° 30'W N. 10° 5'W.

N.78° 10'E.
Dec, 16° 31' 12'S, Lat. 35° 42' 48".

10.

11.

12.

1. 2. 3. 4.

5.

6.

7. 8.

PAPBR II.-p 28. 3•709524 = 5123 0•301030 = 2 Diff. long. 132:06' Dec. 6'N. Lat. 39° 39' 14"S. Course S. 73° 24' 4"W. Dist. 2559 miles. A.T.G. 30d 19h 38m. Dec. 4° 4' 24"N. True amplitude,

W. 4° 5' 56"N. Variation, 7° 45' 56"E. 5b 33m. a. m.

5h 53m. p. m.
M.T.G. 26d 0h 30m. Dec. 2° 12' 4"N. True azimuth,

S.57° 12' 24"E. Variation, 16° 42' 24"W.
M.T.G. 278 23h 26m. Dec. 2° 58'N. Eq. time 5m 13.58.

A.T.S. 28d 3h 44m 24:58. Long. 65° 54' 30"E.
A.T.G. 5d lb. Dec. 6° 2' 17"S. Mer. zen. dist. 39° 42'3"N.

Lat. 33° 39' 46'N.
S.81° 10'E. S.61° 55'E. N. 24°10'W. S. 59°40'W.
Dec. 26° 6' 22"S. Lat. 47° 25' 37"S.

9.

10.

11. 12.

1. 2. 3. 4. 5. 6.

7. 8.

PAPER III.-p. 29. 4 .080482=12036 2.041393 3110 Diff. long. 98.01' Dec. 6° 21' 26"N. Lat. 35° 38' 36"S. Course N. 66' 15' 2"W. Dist. 3153 miles A.T.G. 290 2h 36m. Dec. 14° 29'N. True amplitude

E. 16° 2' 36"N. Variation 8° 12' 24"E.
9h 55m a. m. 10h 13m p.m.
M.T.G. 24d 23h 19m 30s. Dec. 13° 10'N. True azimuth

N.41° 51' 30"W. Variation 34°41' 30"W.
M.T.G. 15d 6h 6m, Dec. 9° 50' 31"N. Eq. timo ls.

9,

A.T. S. 14d 20h 38m 12s. Long. 141° 57' 15"W.
A.T.G. 20d 23h 17m. Dec. 11® 50'N. Mer. zen. dist.

28° 2' 52"N. Lat. 39° 52' 52"N.
S. 38°W. N.49° 50'W. N.74° 20'W. S.3°E.
Dec. 22° 46' 33"N.

Lat. 20° 58' 39"S.

10.

11. 12.

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