2. At qui legitimum cupiet fecisse poema,

cum tabulis animum censoris sumet honesti ;
audebit, quaecumque parum splendoris habebunt
et sine pondere erunt et honore indigna ferentur,
verba movere loco, quamvis invita recedant
et versentur adhuc intra penetralia Vestae;
obscurata diu populo bonus eruet atque
proferet in lucem speciosa vocabula rerum,
quae priscis memorata Catonibus atque Cethegis
nunc situs informis premit et deserta vetustas;
adsciscet nova, quae genitor produxerit usus.
vehemens et liquidus puroque simillimus amni
fundet opes Latiumque beabit divite lingua ;
luxuriantia compescet, nimis aspera sano
levabit cultu, virtute carentia tollet,
ludentis speciem dabit et torquebitur ut qui
nunc Satyrum, nunc agrestem Cyclopa movetur.

3. Binis in castris quum multitudo semiermis sine ducibus esset, nuntium, qui in maioribus erant, mittunt, dum prælio, deinde ex lætitia epulis fatigatos quies nocturna hostes premeret, ut ad se transirent: uno agmine Canusium abituros esse. Eam sententiam alii totam aspernari; cur enim illos, qui se arcessant, ipsos non venire, quum æque coniungi possent? quia videlicet plena hostium omnia in medio essent, et aliorum quam sua corpora tanto periculo mallent obiicere. Aliis non tam sententia displicere quam animus deesse. P. Sempronius Tuditanus tribunus inilitum "Capi ergo mavultis " inquit "ab avarissimo et crudelissimo hoste, æstimarique capita vestra et exquiri pretia ab interrogantibus, Romanus civis sis an Latinus socius, ut ex tua contumelia et miseria alteri honos qæratur? Non tu, si quidem L. Emilii consulis, qui se bene mori quam turpiter vivere maluit, et tot fortissimorum virorum, qui circa eum cumulati iacent, cives estis.

4. Nunc quoniam, Quirites, consceleratissimi periculosissimique belli nefarios duces captos iam et comprehensos tenetis, existimare debetis, omnes Catilinae copias, omnes spes atque opes his depulsis urbis periculis concidisse. Quem quidem ego cum ex urbe pellebam, hoc providebam animo, Quirites, remoto Catilina non mihi esse P. Lentuli somnum nec L. Cassii adipes nec Cethegi furiosam temeritatem pertimescendam. Ille erat unus timendus ex istis omnibus, sed tam diu dum urbis moenibus continebatur. Omnia norat, omnium aditus tenebat; appellare, tentare, sollicitare poterat, audebat; erat ei consilium ad facinus aptum, consilio autem neque lingua neque manus deerat. Iam ad certas res conficiendas certos homines delectos ac discriptos habebat. Neque vero, cum aliquid mandarat, confectum putabat: nihil erat quod non ipse obiret occurreret.

5. Nunc ego, patres conscripti, mea video quid intersit. Si eritis secuti sententiam C. Caesaris, quoniam hanc is in re publica viam, quae popularis habetur, secutus est, fortasse minus erunt, hoc auctore et cognitore huiusce sententiae, mihi populares impetus pertimescendi: sin illam alteram, nescio an amplius mihi negotii contrahatur. Sed tamen meorum periculorum rationes utilitas rei publicae vincat. Habemus enim a Caesare, sicut ipsius dignitas et maiorum eius amplitudo postulabat, sententiam tamquam obsidem perpetuae in rem publicam voluntatis. Intellectum est, quid interesset inter levitatem contionatorum et animum vere popularem, saluti populi consulen

tem.

2. What arguments have been brought forward against the authenticity of the fourth speech attributed to Cicero against Catiline? Or,

Describe the position and powers of the Roman Senate during the period of the Punic wars.

announced to the Athenians that, though they were themselves unanimous, there was one man who dissented from them, Phoicon stepped forward, and said, "Do not trouble yourselves to seek for this refractory citizen; I am he, and I like nothing that you do." On another occasion, when one of his speeches was received with general applause, he turned round to his friends and inquired if he had said anything bad. Yet his known probity gave him weight with the assembly; he was the only statesman of whom Demosthenes stood in awe.

FRENCH I.

22nd December-9 to 12.

1. Conjugate the Present, Perfect and Future of-S'asseoir, Participles of seoir, gésir, échoir, coudre. naître, battre, bátir, haïr, résoudre, rire, suffire; and give the

2. Give the meaning and Plural of bétail, aïeul, travail, coupegorge, pied-plat, tête-à-tête, abat-jour, ciel.

3. State concisely, with examples, the rules as to the agree ment of the Past Participle in the case of Pronominal verbs.

4. Criticise and correct the following sentences according to the rules of modern French grammar

(a) Les personnes d'esprit ont en eux les semences de tous les sentiments.-La Bruyère.

(b)

Je, qui chantai jadis Typhon

D'un style qu'on trouva bouffon.-- Scarron. (c) A quel propos le soleil chasse la nuit ?-Malherbe. (d) Le courtisan n'eut plus de sentiments à soi.-Boileau. (e) Qui fait l'oiseau ? c'est le plumage.-La Fontaine. (f) Vaincus cent fois, et cent fois suppliants,

En leur fureur de nouveau s'oubliants.-Racine. (g) Quel profane en ces lieux s'ose avancer vers moi.Racine.

(h) Il a la permission de ne pas venir, qui est une grande dépense épargnée.-Sévigné.

5. When is the Past anterior (second pluperfect) used instead of the Pluperfect (first pluperfect)? Translate

(a) As soon as I had finished my work, I used to go out a walk.

(b) As soon as I had written my letters this morning, I went out for a walk.

6. Translate into French

(a) If you receive fresh oysters, send us some.

(b) He was the only man I knew.

(c) The stories you have heard us relate are well worth reading.

(d) I shall see you this day three weeks.

(e) The late Queen of Spain.

(f) How few holidays there have been this term !

7. What are the different meanings of the adjectives honnête, méchant, plaisant, according to their position before or after the noun ? Illustrate from the Misanthrope, and mention other examples of a similar change of meaning.

LATIN III.

22nd December-2 to 5.

Translate into Latin

1. The second class is composed of those who, though they are oppressed with debts, still look forward to obtaining absolute power, and think that, by throwing the state into confusion, they could gain those offices which they despair of in peaceful times.

2. I do not understand why, if they cannot live with honour, they desire to perish with disgrace, or why they imagine that it will cause them less pain to perish with a multitude than if they should perish alone.

3. I am not a man of such an iron heart as not to be affected by the anguish of my dear brother.

4. Demosthenes was opposed by a strong party, with which Phocion commonly acted. Phocion is one of the most singular and original characters in Grecian history. Naturally simple, upright and benevolent, his manners were nevertheless often rendered repulsive by a tinge of misanthropy and cynicism. He viewed the multitude and their affairs with a scorn which he was at no pains to disguise; receiving their anger with indifference and their praises with contempt. When a response from Delphi

Translate

FRENCH II.

22nd December-2 to 5.

1. Ac. Parbleu! je ne vois pas, lorsque je m'examine,
Où prendre aucun sujet d'avoir l'âme chagrine.
J'ai du bien, je suis jeune, et sors d'une maison
Qui se peut dire noble avec quelque raison;
Et je crois, par le rang que me donne ma race,
Qu'il est fort peu d'emplois dont je ne sois en passe.
Pour le cœur, dont surtout nous devons faire cas,
On sait, sans vanité, que je n'en manque pas;
Et l'on m'a vu pousser dans le monde une affaire
D'une assez vigoureuse et gaillarde manière.
Pour de l'esprit, j'en ai sans doute ; et du bon goût,
A juger sans étude et raisonner de tout;
A faire aux nouveautés, dont je suis idolâtre,
Figure de savant, sur les bancs du théâtre;
Y décider en chef, et faire du fracas

A tous les beaux endroits qui méritent des has!
Je suis assez adroit ; j'ai bon air, bonne mine,
Les dents belles, surtout, et la taille fort fine.
Quant à se mettre bien, Je crois sans me flatter,
Qu'on serait mal venu de me le disputer.

Je me vois dans l'estime autant qu'on y puisse être.
Fort aimé du beau sexe, et bien auprès du maître.
Je crois qu'avec cela, mon cher marquis, je croi
Qu'on peut, par tout pays, être content de soi.

2. Il faudroit que je fusse bien changée pour ne pra entendre vos turlupinades, et tous les bons endroits de vos Vous savez bien, Monsieur le Comte, qu'autrefois Lous avions le don de nos entendre avant que d'avoir parle. L'un de nous répondoit fort bien à ce que l'astre avoit envie de dire; et nous n'eussions point voula nous donner le plaisir de prononcer assez facilement des paroles, Lotre intelligence auroit quasi fait tous les frais de la conversation. Quand on s'est bien entendu, on ne peut jamais devenir pesante. C'est une jolie chose à mon gré que d'entendre vite: cela fait voir une vivacité qui plait, et dont l'amour-propre sait un gre nompareil. M. de la Rocheforganuld dit vrai dans ses Mazimet: “Nous aimons mieux ceux qui nous entendent bien, que ceux qui se font eccater. Nous devons nous aimer à la pareille, pour nous étre toujours si bien entendus. Nous ne savons ici aucunes Le Roi marche on ne sait où. Les desseins de sa Majesté sont cachés, comme il le souhaite. Un officier d'armée mandoit l'autre jour à un de ses amis qui est ici: "Je vous prie de me mander si nous allons assieger Maestricht, ou si nous allons passer l'Yssel." Je vona assure que cette campagne me fait peur. Ceux qui ne sont à la guerre, par leur malheur plutôt que par leur volonté, ne me paroissent point malheureux. Adieu, Comte: je suis fort aise que vous aimiez mes lettres; c'est signe que vous ne me haissez pas.

3. Irmenie. Ah madame, entendes-vous ces cris? Savez-vous bien...

Mérope. Quel trouble alarme tes esprits?

Isménie. Polyphonte l'emporte, et nos peuples volages
A son ambition prodiguent leurs suffrages.

Il est roi, c'en est fait.

Egiathe. J'avais cru que les dieux

Auraient placé Mérope au rang de ses aïeux.

Dieux! que plus on est grand, plus vos coups sont à craindre !

Errant, adandonné, je suis le moins à plaindre.
Tout homme a ses malheurs.

(On emmène Egisthe.)

Euryclès, à Mérope. Je vous l'avais prédit :
Vous aves trop bravé son offre et son crédit.

Mérope. Je vois toute l'horreur de l'abime où nous

sommes.

Elle

4. La vieille principale locataire, créature réchignée, toute pétrie vis-à-vis du prochain de l'attention des envieux, examinait beaucoup Jean Valjean, sans qu'il s'en doutât. Elle était un peu sourde, ce qui la rendait bavarde. Il lui restait de son passé deux dents l'une en haut, l'autre en bas qu'elle cognait toujours l'une contre l'autre. avait fait des questions Cosette qui, ne sachant rien, n'avait pu rien dire, sinon qu'elle venait de Montfermeil. Un matin, cette guetteuse aperçut Jean Valjean qui entrait, d'un air qui sembla à la commère particulier, dans un des compartiments inhabités de la masure. Elle le suivit du pas d'une vieille chatte, et put l'observer, sans en être vue, par la fente de la porte qui était toute contre. Jean Valjean, pour plus de précaution sans doute, tournait le dos à cette porte. La vieille le vit fouiller dans sa poche et y prendre un étui, des ciseaux et du fil, puis il se mit à découdre la doublure d'un pan de sa redingote et il tira de l'ouverture un morceau de papier jaunâtre qui déplia. La vieille reconnut avec épouvante que c'était un billet de mille francs. C'était le second ou le troisième qu'elle voyait depuis qu'elle était au monde. Elle s'enfuit très effrayée.

2. Translate into French

I found myself at the foot of a high mountain, and locking down into a vast plain, through which wound a majestic river. On the margin of this river stood an eastern-looking city, such as we read of in the Arabian Tales, but of a character even more singular than any there described. From my position, which was far above the level of the town, I could perceive its every nook and corner, as if delineated on a шap. The streets seemed innumerable, ani crossed each other irregularly in all directions, Eut were rather long winding alleys than streets, and absolutely swarmed with inhabitants. The houses were wildly picturesque. On every hand was a wilderness of balconies, of verandahs, of minarets, of shrines and fantastically carved oriels. Bazaars abounded; and there were displayed rich wares in infinite variety and profusion, silks, mus.ins, the most dazzling cutlery, the most magnificent jewels and gems.-E. A. Poe.

GERMAN I.

22nd December-9 to 12.

1. Put down the 2nd person singular of the Present and Imperfect, and the Past Participle of-Gelten, unterhandeln, niederlegen, besitzen, erwagen, gefallen, heischen, widerstehen.

2. Illustrate by short sentences the construction (cases or prepositions) of the following adjectives and verbs-Werth, unwürdig, sicher, folgen, befehlen, bedürfen, sich schämen, gefallen.

3. "Ein leichter Ding noch möcht es sein." When is the attributive adjective left uninflected in German?

4. "Missbrauch ich's, so misbrauch ich kein Vertrauen." Explain the order of the words in the above sentence, and mention the various cases in which the subject and verb are inverted.

5. "Wenn er mir sechzehn tausend Mann vertraut." What classes of nouns are left uninflected in the plural? Give examples.

6. "Nur um zwei Augenblicke bittet er,
Er hab' ein dringendes Geschäft."

Why is this verb in the Subjunctive? State rules for changing the direct into the oblique oration.

7. Translate, and explain the elliptical construction in the following

"Viel gefordert !

Prag! Sei 's um Eger! Aber Prag! Geht nicht."

8. Translate into English

(1) Das fällt mir nicht ein.

(2) Er hat mich zum Besten haben wollen.
(3) Es bleibt dabei.

(4) Lassen Sie ihn nicht aus den Augen.
(5) Erklärt euch kurz und gut.

(6) Er wollte es wieder gut machen.
(7) Machen Sie dass Sie fortkommen.
(8) Es ist nun nicht anders.

(9) Er hält es mit dem Wallenstein.
(10) Daran liegt mir nichts.

9. Translate into German

(1) We have been sure of it since yesterday.

(2) What do I care for the Swede?

(3) He has been obliged to go over to the enemy. (4) He knocked my hat off my head.

(5) Fighting was going on the whole day.

FRENCH III.

23rd December-9 to 12.

1. Translate into French

And now, as the shadows of the night were deepening the perpetual twilight of the church, the work of destruction commenced. Instead of vespers rose the fierce music of a psalm yelled by a thousand angry voices. It seemed the preconcerted signal for a general attack. A band of marauders flew upon the image of the Virgin, dragged it forth from its receptacle, plunged daggers into its inanimate body, tore off its jewelled and embroidered garments, broke the whole figure into a thousand pieces, and scattered the fragments along the floor. A wild shout succeeded, and then the work, which seemed delegated to a comparatively small number of the assembled crowd, went on with incredible celerity. Some were armed with axes, some with bludgeons, some with sledge-hammers; others brought ladders, pulleys, ropes, and levers. Every statue was hurled from its niche, every picture torn from the wall, every painted window shivered to atoms, every ancient monument shattered, every sculptured decoration, however inaccessible in appearance, hurled to the ground.J. L. Motley.

GERMAN II.

22nd December-2 to 5.

I.

Du hast's erreicht, Octavio !—Fast bin ich
Jeh so verlassen wieder, als ich einst
Vom Regensburger Fürstentage ging.

Da hatt' ich nichts mehr als mich selbst—doch was
Ein Mann kann werth sein, habt ihr schon erfahren.
Den Schmuck der Zweige habt ihr abgehauen,
Da steh' ich, ein entlaubter Stamm! Doch innen
Im Marke lebt die schaffende Gewalt,
Die sprossend eine Welt aus sich geboren.
Schon einmal galt ich euch statt eines Heers,
Ich Einzelner. Dabingeschmolzen vor
Der schwed'schen Stärke waren eure Heere,
Am Lech sank Tilly, euer lezter Hort,
Ins Bayerland, wie ein geschwollner Strom,
Ergoß sich dieser Gustav, und zu Wien

In seiner Hofburg zitterte der Kaiser.
Soldaten waren theuer, denn die Menge
Geht nach dem Glück-Da wandte man die Augen
Auf mich, den Helfer in der Noth; es beugte sich
Der Stolz des Kaisers vor dem Schwergekränkten,
Ich sollte aufstehn mit dem Schöpfungswort
Und in die hohlen Läger Menschen sammeln.

II.

Wie gelangen wir zu der deutlichen Vorstellung eines Dinges im Raume? Erst betrachten wir die Theile desselben einzeln, hierauf die Verbindung dieser Theile, und endlich das Ganze. Unsere Sinne verrichten diese verschiedenen Operationen mit einer so erstaunlichen Schnelligkeit, daß ste uns nur eine einzige zu sein bedünken, und diese Schnelligkeit ist unumgänglich nothwendig, wann wir einen Begriff von dem Ganzen, welcher nichts mehr als das Resultat von den Begriffen der Theile und ihrer Verbindung ist, bekommen sollen. Gesezt nun also auch, der Dichter führe uns in der schönsten Ordnung von einem Theile des Gegenstandes zu dem andern; geseßt, er wisse uns die Verbindung dieser Theile auch noch so klar zu machen: wie viel Zeit gebraucht er dazu? Was das Auge mit einmal überstehet, zählt er uns merklich langsam nach und nach zu, und oft geschicht es, daß wir bei dem leyten Zuge den ersten schon wiederum vergessen haben. Jedennoch sollen wir uns aus diesen Zügen ein Ganzes bilden: dem Auge bleiben die betrachteten Theile beständig gegenwärtig; es kann sie abermals überlaufen: für das Obr hingegen sind die vernommenen Theile, verloren, wann sie nicht in den Gedächtnisse zurückbleiben. Und bleiben sie schon da zurück: welche Mühe, welche Anstrengung kostet es, ihre Eindrücke alle in eben der Ordnung so lebhaft zu erneuern, sie nur mit einer mäßigen Geschwindigkeit auf einmal zu überdenken, um zu einem etwanigen Begriffe des Ganzen zu gelangen!

III.

Hermann eilte zum Stalle sogleich, wo die muthigen Hengste
Ruhig standen und rasch den reinen Hafer verzehrten,
Und das trockene Heu, auf der besten Wiese gehauen.
Eilig legt' er ihnen darauf das blanke Gebiß an,

Zog die Riemen sogleich durch die schönverfilberten Schnallen,
Und befestigte dann die langen, breiteren Zügel,

Führte die Pferde heraus in den Hof, wo der willige Knecht schon

Vorgeschoben die Kutsche, sie leicht an der Deichsel bewegend.
Abgemessen knüpften sie drauf an die Wage mit saubern
Stricken die rasche Kraft der leichthinziehenden Pferde.
Hermann faßte die Peitsche; dann saß er und rollt' in den
Thorweg.

Als die Freunde nun gleich die geräumigen Pläße genommen,
Nollte der Wagen eilig und ließ das Pflaster zurücke,
Ließ zurück die Mauern der Stadt und die reinlichen Thürme,
So fuhr Hermann dahin, der wohlbekannten Chaussee zu,
Rasch, und säumete nicht und fuhr bergan wie bergunter.
Als er aber nunmehr den Thurm des Dorfes erblickte,
Und nicht fern mehr lagen die gartenumgebenen Häuser,
Dacht' er bei sich selbst, nun anzuhalten die Pferde!.

I

IV.

So war das Mark von Deutschland hier gedrängt,
Und mitten in dem Lager jeden Volks
Erhub sich stolz das herzogliche Zelt.
Da war ein Grüßen und ein Händeschlag,
Ein Austausch, ein lebendiger Verkehr!
Und jeder Stamm verschieden an Gesicht,

An Wuchs und Haltung, Mundart, Sitte, Tracht,
An Pferden, Rüstung, Waffenfertigkeit,
Und alle doch ein großes Brüdervolk,
Zu gleichem Zwecke festlich hier vereint!
Was jeder im Besondern erst berieth,
Im hüllenden Gezelt und im Gebüsch
Der Inselbuchten, mählich war's gereift
Zum allgemeinen, offenen Beschluß.
Aus vielen wurden wenige gewählt,
Und aus den wenigen erfor man zween,
Allbeide Franken, fürstlichen Geschlechts,
Erzeugt von Brüdern, Namensbrüder selbst,
stunrade, längst mit gleichem Ruhm genannt.

GERMAN III.

23rd December-9 to 12.

1. Translate into German

I thought that it was a Sunday morning in May; that it was Easter Sunday, and as yet very early in the morning. I was standing, as it seemed to me, at the door of my own cottage. Right before me lay the very scene which could really be cominanded from that situation, but exalted, as was usual, and solemnized by the power of dreams. There were the same mountains and the same lovely valley at their feet; but the mountains were raised to more than Alpine height, and there was interspace far larger between them of savannahs and forest lawns; the hedges were rich with white roses; and no living creature was to be seen, excepting that in the green churchyard there were cattle tranquilly reposing upon the verdant graves, and particularly round about the grave of a child whom I had once tenderly loved, just as I had really beheld them a little before sunrise, in the same summer when that child died.-De Quincey.

2. Translate into German--

My friend Sir Roger had been an indefatigable man in business of this kind, and has hung several parts of his house with the trophies of his former labours. The walls of his great hall are covered with the horns of several kinds of deer that he has killed in the chase, which he thinks the most valuable furniture of his house, as they afford him frequent topics of discourse, and show that he has not been idle. At the lower end of the hall is a large otter's skin, stuffed with hay, which his mother ordered to be hung up in that manner, and the knight looks upon with great satisfaction, because, it seems, he was but nine years old when his dog killed him. A little room adjoining to the hall is a kind of arsenal, filled with guns of several sizes and inventions, with which the knight has made great havoc in the woods, and destroyed many thousands of pheasants, partridges, and woodcocks. His stable doors are patched with noses that belonged to foxes of the knight's own hunting down. Sir Roger showed me one of them, that for distinction's sake has a brass nail stuck through it, which cost him about fifteen hours' riding, carried him through half a dozen counties, killed him a brace of horses, and lost about half his dogs. This the knight looks upon as one of the greatest exploits of his life.

ENGLISH AND CONSTITUTIONAL

HISTORY.

22nd December-2 to 5.

1. What are the most important constitutional results of the Norman Conquest?

2. Explain and illustrate the constitutional importance of the antagonism between Church and State during the Middle Ages.

3. In what respects may Edward I. be said to have completed the work of Henry II?

4. Compare the constitutional policy of the Lancastrians with that of the Yorkists.

5. Compare the position of the Parliament under the Tudors with its position under the early Stuarts. Account for the change.

6. To what extent did the Restoration of 1660 destroy the work of the Long Parliament?

7. Explain the constitutional importance of the accession of the Hanoverians.

8. Explain the constitutional views of Edmund Burke.

EUROPEAN HISTORY.

23rd December-9 to 12.

(Not more than EIGHT questions to be answered.)

1. "In all the nations which arose in Europe at the close of the Middle Ages, the growth of unity was accompanied by the rise of a strong monarchical power."

Examine this statement.

2. "The Renascence was the assertion of the rights of the individual against the medieval chains which had hitherto bound him down."

Explain this statement.

3. "Calvinism was the creed of rebels." Explain and illustrate this statement.

4. "The Traditional French policy of Protestant abroad and Catholic at home."

Explain this.

5. "The great result of the Thirty Years' War and of the religious differences from which it had arisen was the complete annihilation of German unity."

Explain this statement.

6. Account for the greatness of France under Louis XIV., and for her subsequent decline?

7. The Jansenists have been called "The Puritans of Catholicism." Why?

8. In what respects does Peter "the Great" deserve this title?

9. Sum up the results of the Seven Years' War.

10. Summarise the causes of the French Revolution.

2. Explain the principles on which the velocity of sound in air may be calculated; being especially careful to explain the reason why it is necessary to apply a correction for the heating and cooling which takes place in a gas across which a train of waves is being propagated.

3. Give an account of the principles which underlie the construction of pendulums and balance wheels " compensated" for changes of temperature.

4. What arguments can you adduce in favour of the view that radiant heat is only "invisible" light.

5. Give an account of the phenomena of refraction through a prism considered in reference to (1) the material of which the

(a) In Italy, or,

(b) In Germany.

the parallelism or otherwise of the incident pencil of rays.

6. Describe exactly some form of apparatus for producing and examining polarised light.

EUCLID, BOOKS I. VI.

21st December-2 to 5.

1. Explain the direct and indirect methods of proving propositions, and give the enunciation of an example of each.

What is meant by saying that one proposition is the converse of another? Enunciate two propositions which are the converses of one another.

2. Prove, that if two triangles have two sides of the one equal to two sides of the other each to each and have likewise their bases equal, the angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them of the other.

In what other cases are two triangles which have three elements equal each to each equal in all respects? Write down an enunciation suitable for the case omitted by Euclid.

3. The three angles of any triangle are together equal to two right angles.

If, through the angular points of any triangle, straight lines be drawn making equal angles with the sides taken in order, the triangle formed by these lines shall be equiangular to the original triangle.

4. Upon a given base describe an isosceles triangle equal in area to a given triangle.

5. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle.

6. Enunciate and prove either of the propositions of the second book by which it can be shewn that the rectangle contained by the sum and difference of two lines is equal to the difference of the squares described upon them, and shew how the above result follows from the proposition.

7. Describe a square that shall be equal to a given rectilineal figure.

8. The straight line drawn at right angles to the diameter of a circle from its extremity falls without the circle, and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut the circle.

9. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it, the rectangle contained by the segments of the secant shall be equal to the square on the tangent. [Prove this in the case where the secant does not pass through the centre.]

10. With a given point as centre, describe a circle cutting off similar segments from two given concentric circles.

11. If a quadrilateral figure be described about a circle, the sums of the opposite pairs of sides are equal, and each sum is equal to half the perimeter of the figure.

12. Describe an isosceles triangle having each of the angles at the base double of the third angle.

Shew how to construct an isosceles triangle having four times either of the base angles equal to three times the angle at the

vertex.

13. If the sides of two triangles about each of their angles be proportionals, the triangles shall be equiangular; and the equal angles shall be those which are opposite to the homologous sides.

14. If three straight lines be proportionals, the rectangle contained by the extremes is equal to the square on the mean, and conversely.

ACOUSTICS LIGHT AND HEAT.

(SECOND PAPER.)

22nd December-9 to 12.

1. Give an account of the phenomena of phosphorescence. 2. Explain how the wave length of light may be measured by means of a diffraction grating.

3. Explain the construction of a steam engine indicator, and shew how the area enclosed on the diagram drawn by an indicator gives a measure of the heat energy transformed into mechanical work in the engine.

4. Describe the apparatus used by Cailletet and Pictet for liquefying gases. Why is it necessary to employ a low temperature?

5. Give an account of some method of studying the vibra tions of plates.

6. Give the theory of Kundt's method of measuring the velocity of sound in such substances as glass.

ELECTRICITY AND MAGNETISM. (FIRST PAPER.)

20th December-9 to 12.

1. Distinguish between "electric force" and "electromotive force." How much work is done during the following operation? -A charge of Q (electrostatic) units of negative electricity is insulated on a sphere; another sphere carrying q units of positive electricity is moved away from the first sphere from a point 5 metres away (centre to centre) to a point 10 metres away. The spheres each have a radius of 5 cm.

2. Why is it supposed that in a Leyden jar the phenomena of charge are chiefly dependent on the dielectric, and do not depend on the conducting part of the arrangement?

3. Give an account of Ampère's experiments on the mutual action of wires carrying electric currents, and shew that the force tending to move two wires inclined at any angle and carrying currents on the whole in similar directions, can be deduced from Ampère's experiment. Have you detected any ambiguity in the account given in S. P. Thompson's book?

4. What is the unit known under the name of the "Watt"? Find the work done by a current of 10 volts and 10- ampères in one minute.

5. Give some account of the phenomena of thermo-electricity. 6. How would you demonstrate that the duration of the spark discharge from a Leyden jar is exceedingly short?

ELECTRICITY AND MAGNETISM. (SECOND PAPER.)

20th December-2 to 5.

1. What is Lenz's law of induced currents? Apply this law and the principle of the conservation of energy to find the general directions of the force existing between coils of wire carrying

currents.

2. Give some account of the phenomena attending the passage of a ray of plane polarised light through a field of magnetic force, and parallel to the direction of that force.

3. How would you compare the resistance of two bits of wire? How would you proceed if the wires were replaced by galvanic batteries?

4. Give an account of Farraday's researches on the induction of electric currents.

5. Find the heat developed per second in a glow lamp taking 6 ampères at 100 volts: given that J-4.2 × 107.

6. Give some acconnt of the phenomena of the voltaic battery, taking any suitable case to illustrate your answer.

5. (a) What are the motor areas of the cerebral cortex ?
(b) Where are they situated?

(c) How has their existence been proved?

6. Describe the precise changes which take place in the eye when we from looking at a far object then look at a nearer object.

ANIMAL PHYSIOLOGY. (FIRST PAPER.)

22nd December-9 to 12.

1. Describe the microscopical appearances of normal human blood, and state wherein they differ from those of, say, frog's blood.

2. Describe the arrangement of the valves in the several parts of the blood and lymph vascular systems, and state the circumstances in which they come into action.

3. (a) What changes does the blood undergo in its passage through the pulmonary capillaries?

(b) How is each change effected?

(c) How is the air in the air vesicles changed and renewed?

4. A "Normal Diet "

(a) What is meant by the term?

(b) How have these various quantities been ascertained? (c) What part is played by each kind of food stuff in the bodily economy?

5. Write an account of the teeth of man, as to their (a) structure, (b) mode of development, (c) time of appearance, (d) functions.

6. What changes do the different food stuffs undergo in the small intestine? and show how absorption is effected from the sinall intestine.

ANIMAL PHYSIOLOGY. (SECOND PAPER.)

22nd December-2 to 5.

1. Describe the mechanism of the act of swallowing.

2. (a) Describe the general structure of the skin;

(b) What are the functions of its different parts? (You are expected to include a complete account of the sweat secretion and its functions.)

3. (a) Describe the structure of a white nerve fibre.

(b) What is known as to the nature of a nerve impulse?

4. State the exact steps in the proof of the functions of the spinal nerve roots.

1

GEOLOGY.

(FIRST PAPER.)

21st December-2 to 5.

1. What are the most important animals whose remains contribute to form rocks?

2. Explain the meaning of the term "volcanic neck," illustrating your answer with sketches.

3. What evidence would determine the age of eruptive rocks in relation to the surrounding strata?

4. Describe the mode of occurrence of iron as an element or compound in the rocks of the earth's crust.

5. What is the meaning of the following terms or expressions:-Nullipore sand; pisolite; septarian nodule; spherulites; amygdaloid; breccia; lignite; loess; flint?

6. What proofs might rocks afford of their having been formed respectively under the following conditions :-(a) In shallow water; (b) as a land surface; (c) in comparatively deep

ocean water?

7. Describe the various types of folding observable in rocks, and explain how this folding is produced, illustrating your answer with sketches.

8. Write a concise account of faults, and of mineral veins, illustrating your answer with sketches.

GEOLOGY. (SECOND PAPER.)

23rd December-2 to 5.

1. How do fossils indicate (a) former changes in geography, } and (b) former changes in climate?

2. Explain briefly the nebular hypothesis.

3. What is the evidence for the probable existence of animal and plant life on the world before the Cambrian period?

4. What chronological classification may be adopted for the Post-Tertiary formations of Europe, and to what extent may it be applied to the Post-Tertiary rocks of Australia?

5. What is the geological range of the following fossils : Hippurites; deinotherium; scaphites; atlanto-saurus; pterichthys; orthoceras; psilophyton; ceratites; graptolites; productus?

6. Mention the chief characteristics of the floras of the paloozic, mesozoic, and cainozoic eras respectively.

7. What is the paleontological evidence for the possible development of the birds from the reptiles?

8. Describe briefly any system of rocks developed in Australia

or elsewhere, and the fossils associated with it.