OVID.

MR. GRAY.

Translate the following passages:

1. Beginning, De tanta rerum turba factisque parentis..... Ending, Hæredem patriæ, perfide, fraudis agis.

2. Beginning, Sint procul a nobis juvenes ut femina compti: Ending, Et veneri numeros eripuisse suos?

3. Beginning, Quod tibi maluerim, sine me debere procellis...... Ending, Si, dum me careas, est tibi vile mori.

Epist. ii. 75--78.

Ibid., iii. 75-88,

Ibid., vii. 43-48.

4. Beginning, Se quoque Nympha tuis ornavit Iardanis armis, .... Ending, Invitis oculis aspicienda venit:

Ibid., ix. 103-124.

5. Beginning, Mane erat: et Danaus generos ex cæde jacentes..... Ending, Et queritur facti sanguinis esse parum.

Ibid., xiv. 79-82.

6. Beginning, Molle meum, levibusque cor est violabile telis ; Ingenium nobis molle Thalia facit.

.....

Ibid., xv. 79-84.

7. Beginning, Parve, (nec invideo,) sine me, Liber, ibis in Urbem : Ending, Contingam certe quo licet illa pede.

...

Eleg. i. 1-16.

1. What functions and prerogatives did Augustus assume by virtue of the tribunitian power which was bestowed upon him?

2. Suetonius tells us of a curious innovation which he introduced for the purpose of controlling the elections?

3. Who was Dion, and when did he live? He explains the cause of the uncertainty which pervades all Roman history from the date of the establishment of the empire?

4. Describe the organization of Gaul by Augustus.

5. The modern names of the chief cities of France may be divided into two classes as regards their derivation? Give examples.

6. Describe the itinerary system of the Romans, and point out its importance as an instrument of government.

7. Give an account of the provinces of Asia, Bythynia, and Syria.

Parum locuples continente ripâ.

Vulcanus ardens urit officinas.

Fervidiore mero arcana promorat loco.

Mea renidet in domo lacunar.

Findunt Scamandri flumina, lubricus et Simois.

MR. MAHAFFY.

Translate the following passage into Latin Prose :

When we consider the character of Tiberius, according to the scanty lights left us by various historians, there is such a mixture of virtues and vices, that it is not easy to say which of them predominates. In his government of the provinces he was both merciful and just; in the control of the legions he showed how his long experience had sunk deep into his mind, and how firmness tempered with justice was superior to weak indulgence and extravagance. As to his private life, rumour has dealt very hardly with him, and blackened his reputation with the foulest stains; but we must remember that these things are not proved against him, in the same way that his virtues are plainly testified; and we should hesitate to set down as a villain a wise and large-minded ruler. If his temper had been happier, his memory might have been long cherished as a benefactor to the human race, and one of the best specimens of an absolute ruler.

Translate the following passage into Greek Prose :—

Consider, men of Athens, the posture of affairs. It is no citizen war, no fair duel of free man against free, but a war of hirelings, and slaves, and mercenaries against the liberties of a great and free people. It is a conflict of education against ignorance, of tyranny against freedom, of license against sobriety. When I go down to Piræus, and see the dockyards deserted, and great open spaces of water, where there was formerly a throng of ships, and a shout of sailors; when I see the fish market and the cheese market scantily occupied by a few retailers, and the agora requiring no raddled rope to gather in the busy idlers and talkers,-when I see all these things, and consider how one villain has accomplished them, I know not whether most to sorrow or to burn with wrath, and that not at him only, but at you, who let all your advantages slip idly through your listless fingers. Make no clamour, nor try to hoot me down, it is not I that have done these things, but you yourselves.

Translate the following passage into Greek Verse :

Well; I have paus'd, and ponder'd; but each thought
Tells me the fluctuating tide perforce

Will drive me on a war with these, or those;
And, like a ship with all its anchors out,
I must abide the storm; nor will this end

Without calamity, and loss, and woe.
When the rich house in desolation sinks,
Its wealth all wasted, bounteous Jove may raise
Its splendour to outshine its former state:
Or when the haughty tongue unseemly bolts
The bitter taunt that stings the anguish'd heart,
The balm of honied words may heal the wound,

Translate the following passage into Latin Verse:—

Resound, ye hills, resound my mournful lay!
Beneath yon' poplar oft we pass'd the day:
Oft on the rind I carved her amorous vows,
While she with garlands hung the bending boughs:
The garlands fade, the vows are worn away;
So dies her love, and so my hopes decay.

Resound, ye hills, resound my mournful strain!
Now bright Arcturus glads the teeming grain,
Now golden fruits on loaded branches shine,
And grateful clusters swell with floods of wine;
Now blushing berries paint the yellow grove;
Just Gods! shall all things yield returns but love?

EXAMINATION FOR LICENSE IN ENGINEERING.

MECHANICS AND HYDROSTATICS.

MR. GALBRAITH.

1. Prove that the distance of the centre of pressure of an immersed plane surface, from its line of intersection with the surface of the fluid, is Moment of inertia

Statical moment

2. A rectangular plane whose vertical height is 10 feet is sunk until its upper side is 20 feet below the surface of a fluid; find the centre of pressure.

3. Define the metacentre, and show how its position is determined.

4. A rectangular prism, 12 feet long, by 4 broad, by 3 deep, and whose specific gravity is 2, floats in water; find the position of the metacentre if it oscillate round an axis parallel to its length.

5. Find the moment of inertia of

A cylinder round its axis;

A sphere round its tangent.

6. Find the line of resistance arising from the pressure of a fluid against a retaining wall.

7. If the weight of the wall is to that of the fluid, bulk for bulk, as 5: 2, show that the limit of the height of the wall is about 2 times its breadth.

8. If the wall retain earth whose natural slope is 45°, and if its weight, bulk for bulk, be to that of the earth as 5: 3, show that the limit of the height is about 5 times the breadth.

9. State the principle of the Mansard roof, and deduce the fundamental equations.

10. For a given span and height, give a geometrical construction for determining the pitch, and length of the rafters; and by it determine them for a span of 50 and height 15 feet.

MR. LESLIE.

1. Calculate the temperature to which steam must be raised in order that its pressure shall be 30 lbs.

2. Find the relative volume of steam at 10 lbs. pressure.

3. Determine the total heat of steam at 80 lbs. pressure.

4. A cubic foot of water is converted into steam at 212°; if this steam were condensed in 40 gallons of water at 62°, what would be the rise of temperature?

n

5. Deduce the two fundamental equations upon which the theory of double-action engines depends.

6. The cylinder of a condensing engine is 18 inches in diameter, the evaporation 0.7 cubic feet per minute, and the velocity of the piston 200 feet; find the horse-power.

7. Deduce the relation which connects the evaporation, velocity, and horse-power of a low-pressure condensing engine.

8. Calculate the pressure of steam in the cylinders of a locomotive due to the weight of the train.

9. The cylinders of a locomotive are 12 inches in diameter, the stroke of the piston 16 inches, driving-wheel 5 feet, the pressure 65 lbs. per square inch, evaporation cubic foot per minute; find the weight of a train which can be drawn at a rate of 20 miles an hour on a level rail.

10. If the weight of a train is 200 tons, and the speed 20 miles per hour, find the evaporation.

DR. DOWNING,

1. Draw out a comparative statement of the laws of friction in the motion of fluids and solids, respectively; stating also all the remarks given in the Text-book in illustration, proof, and application of them.

2. What is the simple and ready formula for the relation between the velocity of the water (flowing in an open channel) at the surface, at the bottom, and the mean velocity ?—and apply it to the case of a mean velocity of 3 feet per second.

3. A cast iron main, 36 inches in diameter, delivers 630,000 gallons per hour; what is the mean velocity of the water in the pipe, and at what rate of fall must it be laid to give this discharge ?

4. What is the change of practice in respect to the mode of drawing off the regular supply of water from a main impounding reservoir, and the reasons for the more recent method? Also, describe the different methods by which flood water is dealt with in this description of reservoir by different engineers; giving sketches to explain your answer.

5. Describe the general features of the Glasgow Waterworks, as far as given in the work placed in the Library, and compare that work with Vartry Waterworks.

6. A canal has to be constructed at a part of its length in which the upper water-line is 2 feet above the surface of the ground; this consiste of 1 foot of good soil; under this 6 feet of loose gravel, lying upon retentive clay; the towing path is 1 foot 6 inches above the top water-line, and 12 feet broad; all slopes are 1 to 1; the bottom width being 14 feet, Draw a cross section at this place, with neatly ruled lines, showing the works that will be required; introducing all that has been laid before you, by specifications and diagrams, in the course of lectures.

7. A reservoir embankment has to be formed across a valley; draw a transverse section of the embankment at a point where the depth of water will be 30 feet to the original ground surface; about 1 foot of good soil covers the surface; below this an average depth of 5 feet of loose