6. Draw a section of a marine boiler, and insert in, or point out on, the drawing, the following parts:

Combustion chamber,

Fire bridge,

A stay tube,

An ordinary stay,

Damper door (half open), and

The smoke-consuming apparatus.

7. Describe the action of the slide valve in admitting and cutting off the steam, explaining what is meant by the terms lead and cushioning.

8. Describe either a jet condenser or a surface condenser, showing how the vacuum is maintained, and mention the temperature and pressure when in good working order.

9. Describe the arrangements by which the piston works steam tight in the cylinder and the piston rod in the cylinder end.

10. Describe the principal action of the screw propeller on the water, to which the onward motion of the ship is due.

At how many revolutions per minute must a screw propeller of 20 feet pitch be driven that the speed of the ship may be 12 knots an hour, supposing the slip to be 8 per cent?

VII.-FRENCH.

(Time allowed, 2 hours.)

(Dictionaries are permitted, except for the grammatical questions.)

Learning, on its revival, was held in high estimation by the English princes and nobles. The four successive sovereigns, Henry, Edward, Mary, and Elizabeth, may be admitted into the class of authors. Queen Catherine Parr translated a book; Lady Jane Grey, considering her age, her sex, and her station, may be regarded as a prodigy of literature. Queen Elizabeth wrote and translated several books, and was familiarly acquainted with the Greek as well as Latin tongue. It is pretended that she made an extemporary reply in Greek to the University of Cambridge, who had addressed her in that language. It is certain that she answered in Latin without premeditation, and in a very spirited manner, to the Polish ambassador, who had been wanting in respect to her. When she had finished, she turned about to her courtiers and said, "S'death, my Lords," (for she was much addicted to swearing,) "I have been obliged to scour up my old Latin, that hath long lain rusting."-HUME.

II. Translate into English:

Science et travail.

"Le monde appartient à l'énergie," disait Alexis de Tocqueville, "il n'y a jamais. d'époque dans la vie où l'on puisse se reposer; l'effort au dehors de soi, et plus encore au dedans de soi, est aussi nécessaire et même bien plus nécessaire à mesure qu'on vieillit que dans la jeunesse. Je compare l'homme en ce monde à un voyageur qui marche sans cesse vers une région de plus en plus froide, et qui est obligé de remuer davantage à mesure qu'il va plus loin. La grande maladie de l'âme, c'est le froid. Et pour combattre ce mal redoutable, il faut, non seulement entretenir le mouvement vif de son esprit par le travail, mais encore par le contact de ses semblables et des affaires de ce monde." L'exemple personnel de l'auteur de ces paroles vient à leur appui et le confirme. Au milieu de ses grands travaux il perdit la vue, puis la santé, mais jamais il ne perdit l'amour de la vérité. Lorsqu'il fut réduit à un tel état de faiblesse qu'il fallait qu'une garde-malade le portât dans ses bras de chambre en chambre, comme un frêle enfant, son courage ne l'abandonna pas. -FLAMMARION.

III. GRAMMAR:

1. Give the present subj., 2d pers. sing. and plural, of the verbs appartient, puisse, vieillit, obligé, va, combattre, faut. Give also the present and past participle of each of those verbs.

2. Form negative sentences with the following: "Le monde appartient à l'énergie"; "C'est le froid"; and state the rule for the formation of negative sentences.

3. "Un voyageur." Give the feminine form of that word; also of tuteur, auteur, voleur, buveur, mineur, vengeur.

4. "Qui est obligé": with which part of the sentence does the participle obligé agree? State the rules.

VIII. PRACTICAL NAVIGATION.

(Time allowed, 1 hour.)

1. Required the compass course and distance from A to B:

Lat. A...... 41° 56' Ν.

Β...... 29° 52′

* Var. 14 pts. W.

Long. A...... 43° 27'
B...... 18° 56′

w.

2. May 29, 1878, at noon, a point of land in lat. 51° 26′ S. and long. 47° 28′ E. bore by compass NW. by W., distant 17 miles (ship's head being SE.), afterwards sailed as by the following log account; find the latitude and longitude in on May 30th at

3. What stars of the first and second magnitudes will pass the meridian of a place in long. 117° E., between the hours of 11h p. m. October 8 and 1h 20m a. m. October 9? 4. September 27, 1878, in long. 101° E. the observed meridian altitude of the sun's L.L. was 47° 26′ 50′′ (zenith S. of the sun), the index correction was + 2' 40", and the height of the eye above the sea was 15 feet; required the latitude.

5. April 20, 1878, in long. 56° 30' W., the observed meridian altitude of the moon's L.L. below Pole was 18° 26′ 30′′, the index correction was -2′40′′, and the height of the eye above the sea was 18 feet; required the latitude.

6. April 7, 1878, in lat. 24° S., long. 39° 26' W., when a chronometer showed 3h 44m 18, the observed altitude of the sun's L.L. (near the meridian) was 58° 54′ 20′′, the height of eye above the sea 23 feet, the index correction was + 0′ 50′′, and the error of chronometer fast on G.M.T. 1h 17m 49s; required the latitude.

7. September 18, 1878, in lat. by account 35° S., the following double altitude of Altair was observed:

The run of the ship in the interval was N. + W. 15 miles, the index correction + 2' 10, and the height of the eye 22 feet; required the true latitude at the last observation. 8. January 2, 1878, at 10h 5m p. m. (mean time nearly), in lat. 48° 2' N. and long. 133o W., when a chronometer showed 4h 14m 13s, the observed altitude of the planet Mars, W. of mer., was 22° 51′ 30′′, the index correction was - 0′ 20′′, and the height of the eye above the sea was 28 feet; required the longitude.

On November 26, 1877, at noon, the chron. was slow on G.M.T. 2h 45m 15a, and its daily rate was 3.4 seconds gaining.

9. July 7, 1878, at 3h 30m p. m., in lat. 43° 46′ N. and long. 141 W., the following lunar was taken:

The height of the eye above the sea was 21 feet; required the longitude.

10. October 30, 1878, about 5h 25m p. m., in latitude 31° 20′ N., longitude 107° W.; the sun set by compass W. 16° 20′ S., the ship's head being west; required the variation of the compass.

11. December 2, 1878, about 8h 25m a. m. mean time, in lat. 22° 21′ S., long. 43° 12′ W., the sun bore by compass S. 57° 20′ E., when a chronometer showed 9h 16m 128. The error of the chronometer slow on G.M.T. was 1h 59m 263, and the ship's head WSW.; required the variation of the compass.

Deriation of the compass (caused by the local attraction of the ship) for given positions of the ship's head.

Direction of ship's head. Deviation of compass. Direction of ship's head. Deviation of compass.

IX.-THEORY OF NAVIGATION AND NAUTICAL ASTRONOMY.

(Time allowed, 3 hours.)

1. Define, giving diagrams, the terms: Axis of the Earth, Departure, True Zenith, Ecliptic, Latitude and Longitude of a Heavenly Body.

Show that if the declination of a star be equal to its longitude, its latitude must be equal to its Right Ascension.

2. Investigate a formula connecting Diff. Long., Mer. Diff. Lat. and Course. 3. Explain the terms: First Point of Aries, Sidereal Time.

The time of transit of the first point of Aries, given in the Nautical Almanac for July 4, is 17h 7m 44.18; find the right ascension of the mean sun at Greenwich mean noon on July 5.

4. What should be the length of the knot on the log-line to correspond to a 33-second glass?

If the distance entered in the log was 135 miles, the actual distance sailed being 118 miles, find the length of knot used.

5. Show how to find the latitude by altitude of a heavenly body near the meridian below pole, having given the approximate latitude.

Give approximately the limits of latitude in which this observation is possible in the case of the moon.

6. (a.) Define the term Polar Angle, used in a double altitude observation.

In a double altitude of a planet, the elapsed time, as measured by a chronometer keeping mean time, was 3h 56m 30o, and the decrease of the planet's right ascension in the interval was 31.5 seconds. Required the polar angle.

(b.) Prove the rule for finding the index error of a sextant by measuring the sun's diameter on and off the arc.

7. At a certain place the sun's altitude at 6 o'clock was 11° 50′, and his azimuth N. 85° 30′ W. Required the declination and latitude of the place.

8. A ship sailed from A to B, a place to the westward, on the are of a great circle, the distance being 6,150 miles. Find the latitude and longitude of B, having given the latitude of A, 57° 58' S., longitude of A, 17 39′ E., and latitude of the vertex 61° 54'.

9. Calculate the augmentation of the moon's semi-diameter, when the apparent altitude of the center is 30° 46', the horizontal parallax being 56' 10", and the horizontal semi-diameter 16' 5".

10. What is the sun's declination when the day is 3 hours longer in latitude 55° than in latitude 15?

X.-WINDS AND CURRENTS.

(Time allowed, 2 hours.)

1. Explain in detail how the northern hemisphere is divided into distinct basins by the several ranges of mountains upon its surface.

2. Give an account of the winds which prevail (1) on the coast of Brazil, (2) on the west coast of Australia.

3. Give an account of the monsoons of the China seas.

The interior of China is but little known, but it is considered probable that the monsoons prevail over a great part of the Chinese continent. What reasons may be adduced in support of this theory?

4. What are the characteristics of the West Indian hurricane?

It has been observed that the path of these storms coincides for some distance with the course of the Gulf Stream. How has this been explained?

5. Describe the Cape St. Roque current. What remarks have been made by Maury and by Horsburgh, respectively, relative to this current?

6. What currents have been noticed in the Grecian Archipelago? What bearing has

the existence of such currents upon the theory of ocean currents based upon the effects of excessive evaporation?

7. Give an account of the system of currents of the South Pacific Ocean.

8. Explain the agency of currents in causing (1) the fogs of Newfoundland, (2) the heavy sea found off the Cape of Good Hope.

XI.-NAUTICAL SURVEYING.

(Time allowed, 3 hours.)

1. Construct a Mercator's chart on a scale of 1.15 ins. = to a degree of longitude, ex

tending from lat. 54° to 58° N., and long. 32° to 37° Ε.

A ship sailed from lat. 56° 25′ N., long. 32° 10' E., as follows:

2. Chron slow on mean time, Montevideo (long. 56° 10' W.), 1h 14m 14a, daily rate losing 19.8-fourteen days afterwards at sea.

Summit of Tristan d'Acunha in lat. 37° 17' S., long. 12° 36′ W., bore N. 38° E. (true), distant 5 miles, when chron was slow on mean time ship 4h 09m 08.

How much had the rate changed?

3. A, B, C are in line on an E. by N. bearing. Bin the center is equidistant from A and C 1.5 miles. Variation 10° easterly.

At ship.

A 48° 30′ В 50° 15′ С.

Protract on scale of 1.5 ins. = a mile, and fix ship's position.

4. At Y, X was elevated 7° 12'; at X, Z was elevated 2° 12′.

Horizontal distance between Yand X=1,350 feet.
Horizontal distance between X and Z = 980 feet.

Required the height in feet of Z above F.

5. By means of ruler and compasses construct a compass having a diameter of 6 inches, marked to half points, and the variation being one point westerly, show the direction of the magnetic meridian.

EXAMINATION PAPERS: BEAUFORT TESTIMONIAL.

1.-MATHEMATICS.

(Time allowed, 3 hours.)

L. If y be the harmonic mean between 2 and z, and z and z respectively the arithmetical and geometrical means between a and b, prove that

2. Find an expression for the number of combinations of n things taken r at a time. There are 10 white and 6 red balls in a bag; in how many different ways may 6 balls be drawn out, so that there may be at least 2 red balls each time?

3. The sides about the vertical angle of a triangle are 25 and 16, and the line bisecting the vertical angle is 12. Find the base.

4. Investigate an expression for the radius of a circle inscribed in a triangle.

If a, b, y be the angles which the sides of a triangle subtend at the center of the Inscribed circle, show that

4 sin a sin ẞ sin y = sin A + sin B + sin C.

8. Ex. 51-17