2. Beginning, Iam iam efficaci do manus scientiae,.... Ending, novendiales dissipare pulveres !

Id., Ep. xvii.

3. Beginning, Excipiunt plausu pavidos, guadentque tuentes.... Ending, Troiaque nunc, pueri Troianum dicitur agmen.

VIRGIL, Aen., lib. v. 575-602.

4. Beginning, Fortunate senex, ergo tua rura manebunt ! .... Ending, nec gemere aëria cessabit turtur ab ulmo.

Id., Ecl. i. 47-59.

GREEK PROSE.

Beginning, Compertum ego habeo, milites....

Ending, praeterea libertatem atque patriam, in dextris portare.

MR. GRAY,

SALLUST, Catilina, lviii,

Translate into Latin prose :

The evening came on while they were still at a loss, not only about other matters, but even about the place where he might be kept, with proper security, during the following night. They were quite confounded when they reflected on the greatness of his former fortune and merit; and they neither dared to undertake the guarding of him at their houses, nor thought it safe to trust the custody of him to any individual. At last, some persons reminded them of a public treasury, under ground, inclosed with hewn stone; into this place he was put down, in chains, and a huge stone was placed over it, with the help of a machine. After having thus determined to trust to the place rather than to any man, for his safe keeping, they waited with impatience for the following day, when the whole populace to a man, mindful of his former services to the state, declared their opinion, that they ought to spare him, and to sedk through his means some remedies for their present misfortunes. But the authors of the revolt, in whose hands was the management of affairs, held a secret consultation, in which it was unanimously resolved to put him to death; but whether they should do it speedily, or defer it, was for some time a matter of doubt. The party that wished his immediate execution at length prevailed, and a person was sent to him with poison. We are told on receiving the cup, he only asked if Lycortas, the other commander of the Achæans, and the horsemen had escaped; and being told that they were safe, he said, "It is well," and then intrepidly drinking the contents of the cup, expired shortly after. The actors of this piece of cruelty, however, did not long rejoice at his death; for the Messenians were vanquished in the war, and compelled, by the positive demands of the Achæans, to deliver up the guilty into their hands. The bones of Philopomen were restored, and his funeral was attended by the whole Achæan council, who heaped on him, not only every human, but even several divine honours. Historians, both Greek and Latin, entertain so high an idea of this man, that several of them have recorded,

as a circumstance remarkably distinguishing this year, that three illustrious commanders died in it, Philopomen, Hannibal, and Publius Scipio, placing him on an equal footing with the most consummate generals of the two most powerful nations.

MR. ABBOTT.

HISTORY, GEOGRAPHY, AND GRAMMAR.

A.

1. Give the name, date, and purport of the principal laws by which the condition of the Roman Plebs was improved.

2. State when, and by whom, the following battles were fought, and their results:-Arbela, Beneventum, Eurymedon, Metaurus, Mutina.

3. Write a short account of the lives of Nicias and of Scipio Africanus Emilianus.

4. What were the following, and where situated, Benacus, Dodona, Fucinus, Ilva, Copais?

5. Write a summary account of the physical geography of Northern Greece and Macedonia, illustrating it by a map.

B.

1. State the general rules for the use of moods in dependent sentences in Greek.

2. Express, in Greek and in Latin:-He knew he was right. Alexander prevailed by being the first to march. He promised to come. ordered them to go out, in the belief that the tyrants were dead.

3. Put the following into the oratio obliqua :

They

Hocine patiendum fuit, si ad nutum dictatoris non respondit ? fingite mentitum esse; cui unquam mendacii poena vincula fuerunt ?

4. Distinguish the signification of the following words from that of their English derivatives:―auctoritas, obtineo, securus, requiro, privilegium.

5. There is a remarkable difference between English and Latin as to the tenses following verbs expressing "ought," "could," etc. State it, and, if you can, account for it. Express in Latin: You ought to have been more careful. I can write to-morrow. It would be hard to gainsay this.

6. Give the perfect and supine (if it exists) of spondeo, scindo, exoleo, aboleo, lacesso, compesco, explico.

ENGLISH COMPOSI1ION.

Select one of the following subjects:

1. Arctic expeditions.

2. A comparative estimate of some ancient literary work, with a modern one of a similar kind.

3. The probable results if Alexander the Great had turned his arms to the West.

IRISH SIZARSHIP EXAMINATION.

PROFESSOR O'MAHONY.

Translate the following passages from Greek into Irish :1. Matt. xv. 32-39. II. Luke, xii. 54-59.

Translate the following passages from English into Irish:

1. Describe the different kinds of barometers, and deduce the formulæ to be used in applying them.

2. State the methods of finding the specific gravity of solids, liquids,

and gases.

3. Deduce a formula from which to calculate the weight of a gas, and show how to modify it when the gas is collected over water.

4. Show how to find the relative volume of steam corresponding to any pressure.

5. Calculate the quantity of injection water required for the condensation of steam.

6. Determine the mechanical equivalent of heat.

7. Investigate, generally, the mechanical effect due to the evaporation of water.

8. Determine by Navier's formula the work done by the expansion of steam.

9. Deduce the two fundamental equations which solve questions relating to double-acting engines.

10. Show how to find the maximum useful effect in a double-acting engine.

DR. DOWNING.

1. Calculate whether the cutting balances the excavation in the following section; and for this purpose compute the excavation in the two portions of the cutting A and B; the base being 34 feet, and the slopes 2 to one. End heights at A equal to o and 20 feet, at B 20 feet and 30 feet. In the embankment the width at formation is 30 feet, and the slopes I to one. End heights at A, being o and 24 feet; at B, 24 feet at each end, and at C, 24 feet and o. The length of A and B being 164 feet and 243 feet respectively, and in the embankment the lengths are A1297 feet, B1 = 216 feet, and C1 = 324 feet. Each part must be brought out separately in cubic yards, and lastly the difference, if any, brought out. The ground is level transversely in all the section.

2. Compute the length, in yards, of the culvert under the embankment B1, the direction of the stream making an angle of 40° with the centre line of the embankment, the ground being level transversely, Also, compute the length if the transverse slope of the ground were one in fifteen.

3. If the portion of the embankment B1 were resting on ground sloping transversely at one in fifteen, compute the volume of the portion B1 in this case.

4. What will be the number of square yards of soiling of slopes in the whole of the embankment with the above dimensions, the ground on which it rests being level transversely.

5. In the specification (“Manual of Railway Engineering") for Bridges, Culverts, &c., state the general directions as to the height of the several courses of the masonry; and give as many as you can of the names of the different descriptions of work in a stone bridge on a line of Railway, and the specification in full, with explanatory sketch of those under the heads of Ring Pens; Arch sheeting; Coping.

6. From the same work give the dimensions of the passenger carriages for parliamentary trains, and all the information with regard to them which is necessary to be given to the Railway Department of the Board of Trade before opening a Line.

7. Give a list of the chief points on the Plans Sections and in the Book of Reference which you would select for the Memorial, in opposition on Standing Orders.

8. Two pillars of cast-iron, each being 60.5 inches long, and having diameters 0.51 and 1 inch respectively, were broken with the following weights, 0.2174 ton for that 0.51 inch in diameter, and 3.0491 tons for that one inch in diameter. Compute from these experimental results the index of the power of the diameter to which the ultimate strength is proportional.

9. And in like manner, as to the index of the length, determine this from the following experiments. The diameter in each of the two pillars compared was 1 inch, the lengths 120 inches and 75 inches, and the breaking weights, of the former 5 tons, and of the latter 11.055 tons.

10. Let the shearing resistance of wrought-iron be supposed exactly equal to its direct tensile resistance, hence a geometrical construction has been derived by which, when given the distance from centre to centre of the rivets, the proper diameter of the latter may be obtained. Give this construction, with the proof of it.

11. In the Royal Albert Bridge, by Brunel, we have the clear span equal to 433 feet, and the effective area of the top of the beam 433 square inches, of the bottom 392 square inches, and the effective depth 56 feet, with a weight of 1100 tons for railway and girder. Compute the strain per square inch, and the additional strain for a train passing over equal to a uniform load of 108 tons distributed. Point out the merits of this structure, and compare it with the Britannia tube.

12. Describe the method of constructing the plating of the top and bottom flanges of wrought-iron girders now in general use, so as to proportion them to a uniform load. And state and prove the approximate rule for the weight of wrought-iron girders when given the total load.

13. A wrought-iron girder having a depth of 8 feet, and clear span of 96 feet, is loaded so as to produce a strain, in the upper flange of 3.85 tons per square inch, and in the lower of 4.25 tons per square inch. Compute the deflection at the centre, on the supposition that the beam is