1. Draw an outline map showing the boundaries of the empire of Charlemagne.

2. Trace the connexion between the wars of Charlemagne and the invasions of England by the Northmen. 3. Draw up genealogical tables showing the descent of

(a) Louis d'Outremer from Charlemagne;
) Charles of Anjou from Hugh le Grand;

Louis, Duke of Orleans (ob. 1407), from Saint Louis. 4. What territorial additions were made to the French monarchy under Philip le Bel? and by what means ?

5. Give an account of the compact known in French history as le marché diabolique.

6. Write a short essay on the condition of France after the battle of Poitiers. 7. Give some account of the following persons :

Valentina Visconti,
Arnaud, abbé de Citeaux,

Blanche de Castile. 8. Discuss the historic credibility of the story of Harold's visit to Normandy, and his oath to forward William's accession to the English throne. 9.

What is Hallam's opinion with respect to the policy of the pacification of Berwick in 1639?

10. What statute is commonly supposed to have given the first legal authority to the criminal jurisdiction of the Star-chamber! Is this correct?

11. What are the articles in the Act of Settlement which were intended to take effect only from the commencement of the new limitation to the House of Hanover? 12. Give a short account of

The conspiracy of Grandval,
The battle of Almanza,
The trial and death of Major André.




Translate the following passages into English Prose :1. Beginning, Το δ' όνομα της ακολασίας και επί τας παιδικάς, κ. τ.λ. Ending, και τώ λόγω μηθεν έναντιούσθαι.

Nichomachean Ethics, lib. III. c. xii. 5-7. 2. Beginning, ο δε μεγαλοπρεπής επιστημονι έoικεν" κ. τ.λ. Ending, Και έστιν έργου άρετη μεγαλοπρέπεια εν μεγέθει.

Ibid., lib. iv. c. ii. 5-10. 3. Beginning, 'Αλλ' εν μέν ταϊς κοινωνίαις ταϊς άλλακτικαίς, κ. τ.λ. Ending, δεί ούν ταύτα ίσασθήναι.

Ibid., lib. v. c. V. 6-9, 4. Beginning, "Έστι δε και η πολιτική και η φρόνησις, κ. τ.λ. Ending, των δε το τί έστιν ουκ άδηλον.

Ibid., lib. VI. C. viii. 1-6. 5. Beginning, 'Αλλ' έπει διχώς λέγομεν το επίστασθαι, κ. τ. λ. Ending, άλλως δε θαυμαστόν.

Ibid., lib. VII. c. iii. 5, 6.

1. Write an account of Aristotle's career, giving the principal dates.

2. Sir Alexander Grant divides the history of moral philosophy in Greece, previous to Aristotle, into three eras; make some remarks on the characteristics of each.

3. Examine the difference between δύναμις, έξις, and ενέργεια; and discuss the meaning of the latter as applied to the definition of happiness.

4. Mention the special cases in which (a) the subject is not marked by the article, or (B) the article appears with the predicate.



Translate the following passages into English :1. Beginning, Experiamur igitur, inquit, etsi habet hæc Stoicorum... Ending, Quid enim hoc possumus agere divinius

De Finibus, lib. iü. C. 4. 2. Beginning, Nam ut utilitatem nullam esse docuimus, .. Ending, condimenti fortasse nonnihil, utilitatis certe nihil habebit.

De Officiis, lib. iii. c. 33: 3. Beginning, Græci autem uaviav unde appellent, .. Ending, Nos ad propositum revertamur.

Tusc. Disp., lib. iii. c. 5. 4. Beginning, Omitto enim vim ipsam omnium, . Ending, aliorum amputatio, aliorum immissio.

De Senectute, c. 75.

1. Give a sketch of Cicero's philosophical opinions.

2. How did Augustus try to raise the estimation of the Roman citizenship?

3. What fact shows that the municipal system was more fully developed in Gaul than in the other provinces ?

4. What points of resemblance existed between Cicero and the younger Africanus ?

5. What is Merivale's estimate of the character of Augustus ? 6. What elements of unity existed in the Roman Empire ?

7. What traces of the conventional language of symbols still appear in the Roman law?

8. Through what channel did the Aramaic Religion influence Italy? 9. Give an account of the Roman systems of notation.

ro. What is Mommsen's view of the political position of the Claudian family in Roman history?

11. What is proved by the grammatical formation of the words, Agrigentum, Tarentum, &c. ?

12. With what English words are the following connected : mirus, volo, sudo, and veho ?

13. Analyze the words, ejus, nos, tibi, and mihi. 14. How are somnus and sleep connected together? Mention some parallel cases.


Translate the following passage into Greek Verse :-
Beginning, In that fair clime, the lonely herdsman, stretched......
Ending, When winds are blowing

WORDSWORTH, The Excursion, book iv.

Translate the following passage into Greek Prose :Beginning, To those animals, over which we are masters for however

short a time, Ending, the only time he has lived to any purpose worth recording.

HELPs, Essays written in the Intervals of Business, p: 40. Translate the following passage into Latin Prose :Beginning, The world, therefore, on the whole, .... Ending, supporting the old freedom of the Forum.

LIDDELL, History of Rome, book yii. c. 66.

Translate the following passage into Latin Verse :Beginning, Now, all amid the rigours of the year, ...... Ending, Before my wondering eyes.

THOMSON, Seasons--Winter, 24-39.


Mathematical physics.


1. If bodies be projected from the same point with velocities proportional to the sines of their elevations, find the locus of points arrived at in a given time.

2. Find how the thickness of a string must vary in order that it may hang in the form of a semicircle.

3. Prove from the equations of motion that a particle attracted by a central force, varying as any function of the distance, may describe a cir. cle; and find the requisite velocity of projection.

4. How is the value for the time of vibration of a circular pendulum to be corrected, when the length of the arc is taken into account? Suppose the arc 60°

5. What would be the motion of a projectile, if the force of gravity va. ried inversely as the cube of the height of the body above a horizontal plane



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6. Assuming that the orbit of a body, acted on by a central force, has for its equation


du + u

R :k,

dws show (a) that the orbit is a focal conic when the force varies inversely as the square of the distance, and (6) that its axis major and excentricity are determined by the equations

12 p2 sin 2012





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7. Find the total range and the total time of flight of an imperfectly elastic ball, which, projected with a given velocity and in a given direction, ricochets n times along a horizontal plane.

8. Two weights, P and W, suspended on a wheel and axle, do not make equilibrium; find the accelerating force on each weight, and the tension on each rope, the moment of inertia of the machine being Mk?.

9. A uniform segment of a circle rests with one point of its circumference on a horizontal plane, and with another against a vertical plane ; the coefficients of friction being My p', find the pressures on the two planes, and the position bordering on motion.

10. In a semicircle let the density vary inversely as the distance from centre; find the centre of gravity.


11. Calculate the pressure which, uniformly applied for one minute, will generate a velocity of 30 miles an hour, in a train of 40 tons weight, moving on a horizontal railway; assuming the friction 8 lb. per ton, and neglecting the resistance of the air.

12. A rectangular beam rests on a rough horizontal plane, and a rope is attached to it at a given height; find the magnitude and direction of the strain which should be applied to the rope in order that the beam may commence to tumble and slide simultaneously.

13. A particle is attracted by one centre of force, and repelled by another; if the law of force be directly as the distance, and the absolute intensities equal, find the path described.

14. A rectangular board is supported in a vertical plane by a string which passes over a smooth nail, and is attached to two points symmetrically situated in one edge; find the positions of equilibrium, and determine whether they are stable or unstable.

15. Two bodies are projected together from the same point with equal velocities, but in different directions; prove that the line which connects their positions at each instant moves parallel to a given line.


1. Prove the law for the composition of two couples not in the same plane. Show that a system of forces can be reduced to a couple and a force perpendicular to their plane.

2. Find the centre of gravity of the arc, and of the area, of a semicircle. 3. Find the strain on the string in a circular pendulum.

4. If the length of the seconds pendulum were 39 inches, what would be the corresponding value of g?

5. Find the range of a projectile on an oblique plane, and also the time of flight.

6. Determine the motion of a body placed anywhere on the line joining two centres of force attracting directly as the distance.

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