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(4) The partial differential equation of the first order.

(5) Legendre's equation.

(6) The solution of Laplace's equation in polar coordinates.

(7) The expansion of integral algebraic functions of x, y, z in terms of spherical surface harmonics over a sphere.

MATHEMATICS.-PAPER IV.

The Board of Examiners.

Write essays on not more than three of the following subjects:

(1) The Laws of Motion.

(2) The geometrical treatment of Statical Stability in one plane.

(3) Catenaries.

(4) The Kinematics of a Rigid Body.

(5) The Stability of a Rigid Body rotating about

an axis.

(6) Foucault's Pendulum.

MATHEMATICS.-PAPER V.

The Board of Examiners.

Write essays on not more than three of the following subjects:

(1) The small Oscillations of a Dynamical System about a position of equilibrium.

(2) The analysis of Strain.

(3) The connexion between Stress and Strain in an Elastic Solid.

(4) Loaded Beams supported at two or more points.

(5) The Torsion of Cylinders.

(6) The Strain of an infinite Elastic Solid under given volume forces.

MATHEMATICS.-PAPER VI.

The Board of Examiners.

Write essays on not more than three of the following subjects:

(1) Green's theorem in the general theory of

Potential.

(2) The application of Spherical Harmonics to the determination of the attractions of spherical heterogeneous shells.

(3) The Velocity Potential in Hydrodynamics. (4) General properties of Vortex Motion.

(5) Methods for the motion of Cylinders in an infinite liquid.

(6) Waves in water of finite depth.

SCHOOL OF MODERN LANGUAGES AND LITERATURE.

ENGLISH.

FIRST PAPER.

Professor Morris.

1. Point out the differences of language in Piers the Plowman as compared with Chaucer's poems. How do the two poets stand in point of dates?

2. Comment on the following words, all of which are taken from Piers:- Abugge, ampulles, cheruelles, culorum, drewery, ewages, handidandi, noumpere, ragman, souteres.

3. Importance of the shrine of St. Thomas of Canterbury.

4. "There is in Chaucer the gladness of the dawn." Criticise.

5. Explain the following names from Chaucer :-In Pruce, in Galice at seint Iame, daun Catoun, newe Genilon, Cæcilia, Chicheuache, Maumettrye, Termagaunt.

6. Which is your favourite Canterbury Tale? State your reasons fully.

7. Astrology and Alchemy in Chaucer.

8. Comment on the following words, all of which are taken from Chaucer:-Gruf, limitour, none, for the nones, nowches, parvys, teyne, thewes, wafereres, weylaway.

9. "Marlowe's mighty line." Comment on this, and give an account of Marlowe's verse.

10. What was Goethe's remark about Dr. Faustus? Criticise the play in the light of that remark.

11. The state of literature between Chaucer and Spenser.

12. The literary output of the last decade of the sixteenth century.

ENGLISH.

SECOND PAPER.

Professor Morris.

1. Explain the following passages from Hamlet:— Unhousel'd, disappointed, unanel'd.

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2. (a) What allusions to suicide occur in Hamlet? (b) Can Claudius be rightly called usurper?

3. When are Lear and Cymbeline supposed to have lived? Quote passages that refer to their dates, and any passages that throw light on the date of the writing of either play.

4. Explain the following passages from King Lear:— Confined to exhibition.

That had it head bit off by it young.

O how this mother swells up toward my
Child Roland to the dark tow'r came.
i' th' clout.

the rack of this tough world.

heart!

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