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4. If a man can perform a journey of 170 miles in 4} days of 11 hours each, in how many days of 8 hours will he perform a journey of 470 miles ? 5. Extract the square root of :

. 964.226704 6. What sum of money will produce £43 interest in 31 year, at 21 per cent. simple interest ? 7. Prove that:+ _

- xs y _

y = 1 y x + y x2 y - y2 8. Divide :

as + xe® by a + c Multiply 1 y + y} by yt 9. Solve the following equations :


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1 3 y +- =9

3 10. A post is a fourth of its length in the mud, a third of its length in the water and 10 feet above the water, what is its length ?

Examiner.-Rev. W. SAMPSON.
Define accurately parallelogrum, rectangle,

1. (a.) square,

(6.) Every rectangle is a parallelogram. Is it true that every parallelogram is a rectangle? Give reasons for your answer.

c.) Two triangles that have three sides of the one equal to three sides of the other, each to each, are equal in every respect. Two triangles that stand on the same base and between the same parallels are likewise equal. Is there any difference between the equality of the triangles in these two cases ? If so, what?

(d.) In the first book of Euclid, what properties are shown to belong to triangles ?

2. Given two equal and parallel straight lines A B and D C; prove that A C and B D bisect each other. Under what circumstances will A C equal B D ?

3. The angles at the base of an isosceles traingle are equal to each other. Give Euclid's proof of this proposition. How might it be proved if you were permitted to bisect an angle ?

4. Three straight lines meet in a point. Draw another line cutting them so that the segment of it intercepted between the first and second shall be equal to that intercepted between the second and third.

5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts.

To what algebraical proposition is this equivalent ?

6. Describe a square that shall be equal to a given triangle.

7. (a.) Equal chords in a circle are equally distant from the centre.

(6.) How do you measure the distance of a straight line from a point ?

(c.) What is the locus of the middle points of equal straight lines in a circle ?

8. The opposite angles of any quadrilateral figure described in a circle are equal to two right angles.

9. A tangent is drawn parallel to a chord. Show that the intercepted arc is bisected at the point of contact.

10. Inscribe in a circle an equilateral and equiangular pentagon. Is it necessary to say equilateral and e quiangular?

First Examination in Arts.


Examiner.-Rev. J. RICHARDS, M. A. ' 1. Give the argument of the sixth book of Paradise Lost.

2. Explain the following passages :-
(a) “ Our patient fathers trifling themes laid by,

And roll’d, o'er labour'd works, the attentive eye;
Page after page the much-enduring men
Explored the deeps and shallows of the pen :
Till, every former note and comment known,

They mark'd the spacious margin with their own." (b) “She makes the vile to virtue yield applause,

And own her sceptre while they break her laws;
For vice in others is abhorr'd of all,
And villains triumph when the worthless fall.”

(c) “So fast he flies, that his reviewing eye ·

Has lost the chasers, and his ear the cry;
Exulting, till he finds their nobler sense

Their disproportion'd speed does recompense.” (d) “So promised he ; and Uriel to his charge

Return’d on that bright beam, whose point now

Bore hím slope downwards to the sun, now fallen
Beneath the Azores ; whether the prime orb,
Incredible how swift, had thither rollid

(e) Mystical dance, which yonder starry sphere

Of planets, and of fix'd, in all her wheels
Resembles nearest, mazes intricate,
Eccentric, intervolved, yet regular

Then most, when most irregular they seem.” (f) “All night the dreadless angel, unpursued,

Through heaven's wide champain held his way;

till Morn,
Waked by the circling hours, with rosy hand

Unbarred the gates of light.” 3. How do you distinguish between conjunctions and prepositions and between adjectives and adverbs ?

4. In what sense does Milton use these words- ,

Fare, eminent, error, lithe, reform, uncouth, slope, procinct, obvius, idol. 5. Ah! gentle pair, ye little think how nigh

Your change approaches, when all these delights
Will vanish, and deliver ye to woe;
More woe, the more your taste is now of joy;
Happy, but for so happy ill secured

Long to continue, and this high seat your heaven
Ill fenced for heaven to keep out such a foe
As now is enter'd; yet no purposed foe
To you, whom I could pity thus forlorn,
Though I unpitied. League with you I seek,
And mutual amity, so strait, so close,
That I with you must dwell, or you with me,

Henceforth. 6. Give the etymology and meaning of these words : -wanton, lethargy, polemics, subtile, verdurous, limi. tary, intelligential, puissance, surceased, enamoured, primeval, sheer, griding.

7. What affixes are used in English to express diminutiveness ?

8. Explain allusions :-
(9) “The Eternal, to prevent such horrid fray,

Hung forth in heaven his golden scales, yet seen
Betwixt Astrea and the Scorpion sign,
Wherein all things created first he weigh’d,
The pendulous round earth with balanced air
In counterpoise ; now ponders all events,
Battles, and realms; in these he put two weights,
The sequel each of parting and of fight."

“So down they sat,
And to their viands fell ; nor seemingly
The Angel, nor in mist, the common gloss
Of theologians; but with keen dispatch
Of real hunger, and concoctive heat
To transubstantiate."

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