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 year, at 2 per cent. simple interest? in 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? GEOMETRY. Examiner.-REV. W. SAMPSON. 1. (a.) Define accurately parallelogram, rectangle, square. (b.) 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, 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 AB and DC; 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. (b.) 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. ENGLISH LITERATURE-POETRY. 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 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 raised Bore him slope downwards to the sun, now fallen Diurnal." 56 (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." (1) "All night the dreadless angel, unpursued, Through heaven's wide champain held his way; till Morn, Waked by the circling hours, with rosy hand 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 More woe, the more your taste is now of joy; FIRST EXAMINATION IN ARTS. Long to continue, and this high seat your heaven That I with you must dwell, or you with me, 6. Give the etymology and meaning of these words: —wanton, lethargy, polemics, subtile, verdurous, limitary, 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, (h) "So down they sat, And to their viands fell; nor seemingly Of theologians; but with keen dispatch |