1. Compare Iffland and Kotzebue. What effect had contemporaneous philosophy on their tendencies? What epochs of human life were peculiarly attractive to this school?

2. Sketch the plot of Heinrich von Ofterdingen? Write a note on the author's religious poetry.

3. Explain the terms Franzosenfresserthum, Deutschthümelei.

4. Name the poems, and give some of the context, from which the following are taken :

(a). Drei Tag und drei Nacht,

Ohn' Unterlass,

Und nicht zum Spass,

Hat die Schlacht gekracht.

(b). In Gras und Blumen lieg ich gern
Wenn eine Flöte töut von fern

Und wenn noch obenhin

Die hellen Frühlingswolken ziehn.

(c). Ein Fremdling warst du unserem deutschen Norden
In Sitt' und Sprache anderer Stämme Sohn,

Und wer ist heimischer als Du ihm worden?

5. What poems may claim the title of the German Marsellaise? How does Barthel criticise the earliest of them?

6. What is meant by Philisterthum, and where does it become prominent in German Literature?

7. When did Schelling appear as a poet? In what connexion is he thus cited by Barthel?

8. Give some account of Theodor Mundt. What well-known works has his wife written?

9. Write a note on the pantheistic tendencies of modern German novels.

10. Give the authors and context of the following:

(a). Was eine lange weite Strecke

Im Leben von einander stand

Das kommt nun unter einer Decke

Dem guten Leser in die Hand.

(b). Die Glocke sie donnert ein mächtiges Eins

Und unten zerschellt das Gerippe.

(c). Also das wäre Verbrechen, dass einst Properz mich begeistert Dass Martial sich zu mir auch, der verwegne, gesellt?

II. Write a note on Goethe's elegiac and hexameter poems.

12. Give the substance of his Harzreise im Winter, or his Prometheus, or his Johanna Sebus.

13. Give the context of the following:

(a). Auf bade, Schüler, unverdrossen

Die ird'sche Brust im Morgenroth!

(b). Das Wunder ist des Glaubens liebstes Kind.

(c). Gewöhnlich glaubt der Mensch, wenn er nur Worte hört,

Es müsse sich dabei doch auch was denken lassen.

(d). Nichts abgeschmackeres find' ich auf der Welt

Als einen Teufel, der verzweifelt.

(e). Ein altes Mährchen endigt so

Wer heisst sie's deuten ?

14. Sketch the principal features in the Walpurgisnacht scene in Goethe's Faust.

15. Give as accurate an account as you can of the prose scene in that play.

16. Where do the following occur?

(a). Du lächelst, Freund, gefühlvoll wie sich ziemt,
Ein grässlich Scheiden machte Dich berühmt.

(b). Vor Agamemnon lebten manche Braven

So wie nachher, von Sinn und hoher Kraft;
Sie wirkten viel, sind unberühmt entschlafen
Da kein Poet ihr Leben weiter schafft.

(c). Der Grassaff, ist er weg?

(d). Ein Hagestoltz ist schwerlich zu bekehren.

17. Quote Goethe's translation of an Irish Lament. Describe his Paria and his drei Palinodien.

18. Explain:

Der Teufels pack, er fragt nach Keiner Regel

Wir sind so klug, und dennoch spukt's in Tegel.

LLOYD EXHIBITION EXAMINATION.

MR. M. ROBERTS.

1. If a, ß, y are the roots of ±3 + ax2 + bx + c = 0, find the equation whose roots are a3, B3, y3.

in terms of e, and interpret the result geometrically.

and determine for a real value of u the number of real values of v.

MR. WILLIAMSON.

1. A uniform beam, of weight W, rests on the ground and against a rough wall. If the coefficient of friction be the same for the ground and the wall, prove that the greatest weight which can be placed on the top of the beam without its slipping is

where is the angle of friction, and i the inclination of the beam to the vertical. Point out the meaning of the result when i is less than .

2. A uniform circular table is supported in a horizontal position by three props, situated along its edge; determine the position and the magnitude of the least weight which placed on the table would upset it.

3. Find the polar equation of the catenary of uniform strength; the force emanating from a fixed point, and varying as the inverse square of the distance.

4. A block of stone, of given weight and dimensions, stands on a railway truck, which is suddenly stopped. If all sliding on the truck be prevented, determine the least velocity of the train so that the block may be just overthrown.

5. A body is supposed to move from an indefinitely great distance, subject solely to the attraction of the Earth; calculate approximately the velocity with which it would strike the Earth's surface, neglecting the resistance of the atmosphere.

6. A body is describing a circle round a centre of force which varies as the inverse square of the distance. Find by how much the intensity of the central force should be suddenly altered in order that the subsequent path of the body should be an ellipse of given eccentricity.

7. An elastic string hangs freely from a fixed point: find the least weight which, attached suddenly to its free extremity, and allowed to fall, will be sufficient to break it; its breaking weight being W.

8. The axis of a pendulum is a cylinder, which is supported by two perfectly rough planes, situated in the same horizontal plane: determine the angular velocity of the pendulum at any position during its motion.

9. Prove that the moments and the products of inertia of a uniform M tetrahedron, of mass M, are the same as for four masses, each placed

at the vertices of the tetrahedron, combined with a mass its centre of gravity.

5

20

M, placed at

10. Prove that the three principal axes at any point of a rigid body are the normals to the three surfaces, confocal to the ellipsoid of gyraion, which pass through the point.

ASTRONOMY AND OPTICS.

DR. R. S. BALL.

1. The Sidereal time at mean noon for each day is given in the Nautical Almanac. Explain how this quantity is ascertained.

2. If d be the Moon's declination, p its horizontal parallax, and r the horizontal refraction; determine the hour angle at rising.

3. Given the right ascension and declination of a star, determine the longitude of the Sun when the star is at an apse of its parallactic ellipse. 4. If a be the latitude of a star, e the obliquity of the ecliptic, and x" the constant of aberration; then aberration would in the course of

one year cause the apparent declination of the star to vary through a

range

2′′ √ sin2 € + cos2 € sin2 λ.

5. Determine the effect which aberration would have upon a number of stars which lie on the circumference of a small circle of the celestial sphere having a small arc for radius.

6. A parallel beam falls symmetrically on a spherical mirror of aperture x, and radius r; determine the diameter of "the least circle of aberration."

7. A small pencil of rays being incident nearly perpendicularly upon a thin prism, it is required to find the focus of the refracted pencil.

8. Explain what is meant by the space-penetrating power of a telescope; and assuming that half the light in a Newtonian telescope is lost, determine the relation between the aperture and the space penetrating power.

VICE-CHANCELLOR'S LATIN MEDALS.

LUCRETIUS.

DR. INGRAM.

Translate the following passages :—

1. Beginning, Nec ratio solis simplex et recta patescit, Ending, aestibus inter se diversis sidera ferri?

2. Beginning, Principio, fluere e lapide hoc permulta necesse est .... Ending, aër, a tergo quasi provehat atque propellat.

I. 1. What are the only circumstances recorded of the life of Lucretius, and what are our authorities for them?

2. Discuss the question as to the editing of the work, quoting as it is in the MSS. the sentence of Cicero which bears on the question.

3. Is there any internal note of the date of the composition of the poem ?

4. The poem (a) is in the main complete, but (b) did not receive the author's final revision?

5. Nos agere hoc autem, et naturam quaerere rerum

semper et inventam patriis exponere chartis.

To what does the context of these lines relate; and for what purpose does Mr. Sellar use them?