(h). "(Antony speaking of Lepidus).

(i).

On objects, arts, and imitations."

One that feeds

Which, out of use, and staled by other men,
Begin his fashion."

"His life was gentle; and the elements

So mixed in him, that Nature might stand up,
And say to all the world This was a man !"
(j). "Go, bid the priests do present sacrifice,
And bring me their opinions of success."

6. (a). Write a short account of the notes of time in "The Tempest" and in "Julius Cæsar."

(b). Record any observations you have made on Shakspeare's practice in the employment of prose and of verse, as illustrated by "Julius Cæsar" and "The Tempest."

MR. BARLOW.

1. Give an accurate description, illustrated by quotations, of Shelley's "Lines written in the Euganean Hills."

2. From what poems are the following lines taken :

(a.)

(ს.)

(c.)

(d.)

(e.)

(f.)

Which alters when it alteration finds,
Or bends with the remover to remove."

"All ye whose hopes rely
On God, with me amidst these deserts mourn,
Repent, repent, and from old errors turn!

Who listen'd to his voice, obey'd his cry ?"

"Ye curious chanters of the wood

That warble forth dame Nature's lays,
Thinking your passions understood

By your weak accents; what's your praise
When Philomel her voice doth raise ?"

"When I the dawn used to admire,

And praised the coming day,

I little thought the rising fire
Would take my rest away."

"From hence, ye Beauties! undeceived
Know one false step is ne'er retrieved,
And be with caution bold:

Not all all that tempts your wandering eyes
And heedless hearts, is lawful prize,

Nor all that glisters, gold!"

"Still thou art blest, compared wi' me!
The present only toucheth thee:

But, och! I backward cast my e'e

On prospects drear!

And forward, tho' I canna see,

I

guess and fear."

(9.)

(h.)

(i.)

(j.)

"Thou dost preserve the Stars from wrong;

And the most ancient Heavens, through thee, are fresh and strong."

"Waking or asleep

Thou of death must deem

Things more true and deep
Than we mortals dream,

Or how could thy notes flow in such a crystal stream ?" "Art thou pale for weariness

Of climbing heaven, and gazing on the earth,

Wandering companionless

Among the stars that have a different birth."

"Then, Beaumont, Friend! who would have been the friend

If he had lived, of him whom I deplore,

This work of thine I blame not, but commend;

This sea in anger, and that dismal shore."

3. Write explanatory notes on the Italicised words in the following passages

(a.)

(b.)

แ

(c.)

"Where perhaps some Beauty lies,

The cynosure of neighbouring eyes."

Nor is Osiris seen

In Memphian grove, or green,

Trampling the unshower'd grass with lowings loud."

"Or whether thou, to our moist vows denied,

Sleep'st by the fable of Bellerus old,

Where the great Vision of the guarded mount

Looks towards Namancos and Bayona's hold."

"Duncan sigh'd baith out and in,

Grat his een baith bleert and blin,
Spak o' lowpin ower a linn !"

(d.)

(e.)

"For a' the live-lang winter night
I lie twined o' my marrow."

(f.)

"This flute, made of a hemlock stalk,
At evening in his homeward walk
The Quantock woodman hears."

4. Write out as many as you can of the stanzas which respectively commence with the following lines:

5. Give as accurately as you can, Chaucer's descriptions of the Frankeleyn, the Sompnour, and the Pardoner.

6.

"To sinful house of Pride, Duessa

guides the faithful knight,

Where brother's death to wreak, Sansjoy

doth challenge him to fight."

Give an account of the above canto of the Faery Queene.

COMPOSITION.

MR. BARLOW.

Write an Essay on any one of the following subjects :

(a). The Red Cross Knight.
(b). The Absalom and Achitophel.

(c). The poems of Cowper.

JUNIOR FRESHMEN.

Mathematics.

A.

MR. WILLIAMSON.

1. Explain the geometrical method of compounding two or more ratios into a single ratio.

2. Find an expression for cosec 18°, and calculate its value to five decimal places.

3. Solve the equation

√6x + x + √ x + 4 + √/6x + 1 = 2.

4. The sum of four numbers in arithmetic progression is 18, and the sum of their squares is 86. Find the numbers.

5. Find expressions for the radii of the inscribed and circumscribed circles of a triangle, in terms of its sides.

6. Find the simplest form of the expression

8. Given the perimeter (28) of a triangle, the area (S), and the angle A : find the opposite side a ?

9. Given the base angles A and B of a triangle, and the sum or difference (a+b) of the sides, solve the triangle trigonometrically.

10. If a line be drawn bisecting the vertical angle of a triangle, the rectangle under the sides is equal to the square of that line, together with the rectangle under the segments of the base.

11. Find two numbers such that their sum multiplied by the sum of their squares shall be 22100, while their difference multiplied by the difference of their squares shall be 4896.

12. Prove that the sum of the squares of the sides of a quadrilateral is equal to the sum of the squares of the diagonals together with four times the square of the line joining their middle points.

14. Divide

2

MR. BURNSIDE.

(a2 + ẞy)2 (B2 + ya)2 (y2 + aß)2 + (a2 – By)2 (B2 – ya)2 (y2 — aß)3 by a3 + ß3 + y3 + aßy.

and

15. Prove the following formula, completely,

2 sin B sin Ccos Asin 2B + sin 2C - sin 2A.

16. Eliminate the variable between the equations

17. If y = a + ẞ,

I - cos 2u

18. Determine the radii of the inscribed and circumscribed circles of a triangle whose sides are 30, 42, 63.69 feet.

19. The angles of a triangle are in the same proportion as the numbers I: 2:7, compare the greatest and least sides.

B.

MR. WILLIAMSON.

1. If QV be the ordinate and PV the abscissa of a point Q on the parabola, measured along the diameter through any part P, prove that

where S is the focus.

QV2 = 4SP. PV,

2. Given three tangents to a parabola in position, find the locus of its focus.

3. Find the real quadratic factors of the expression

24 + I.

4. If a, ẞ, y be the distances of any point P on a sphere from the angles of a quadrantal triangle; and a', B', y' the corresponding distances for another point P'; prove that

cos PP': = cos a cos a' + cos ß cos B' + cos y cos y'.

5. Given two sides of a spherical triangle, prove that its area is a maximum when the contained angle is equal to the sum of the two other angles of the triangle.

6. Find the sum of the n terms of the series

8. Prove that the sums of the mth powers of the roots of an equation is equal to - m times the coefficient of ym in the expansion, by ascending powers of y, of

log ynf

9. There are three independent events, whose several chances are

(a). That exactly one of them should happen. (b). That one at least of them should happen.

10. Given two sides of a spherical triangle, and the included angle, express thereby the cosine of the angle between the chords of these sides.

11. Find the locus of the intersection of tangents to a small circle on the sphere, which cut at a constant angle.

12. Find a general expression for the sum of n terms of the series

1.2.3 +2.3.4 + 3. 4. 5 +, &c.,

and hence deduce the sum to n terms, of

13 + 23 +33 +, &c.