Ille volat, campoque atrum rapit agmen aperto : Explain the constructions in the phrases underlined. 2. Translate and explain the following:-unde me uno togato duce et imperatore premuntur aere alieno -in nocturno conventu apud M. Laecam―abiit, excessit, evasit, erupit-tabulae novae-recta perge in exilium-limes agro positus, litem ut discerneret arvis-stat conferre manum Aeneae, stat quidquid acerbi est, morte pati-pro se quisque viri summa nituntur opum vi. 3. State briefly the history of the Catalinarian conspiracy. 4. Decline in full-aciem, caedis, cuspide, hirundo, nocte, parietibus, potentibus, vulnus. ALGEBRA. The Board of Examiners. Every result must be reduced to its simplest form. The whole of the working of a question must be sent in as part of the answer. 1. Find the product of b+c-a, c + a−b, a + b-c. (x + y)1 — (x − y)1 = 8xy (x2 + y2). (i) (ii) (x + a + b + c) (x + a − b - c) = (x − a − b + c) (x − a + b — c). 1 1 2+% + ax + by = b a (iii) (x − a + c) (x − b + c) + (x − a −c) (x—b—c) =2 (ab + c2). 6. A person having seven miles to walk increases his speed one mile an hour after the first mile, and is half an hour less on the road than he would have been had he not altered his speed. How long did he take? 7. Prove that a"a" = integers. am+" where m and n are positive GEOMETRY. The Board of Examiners. The symbol must not be used; and the only abbr viation admitted for "the square described on t straight line AB" is "sq. on AB," and for "th rectangle contained by the straight lines AB,CD": "rect. AB,CD." 1. To bisect a given rectilineal angle. 2. ABC is a triangle, and the side BC is produce to D. Shew that the angles CAB and CB are together equal to the angle ACD. 3. BAC is a triangle having the angle A a righ angle. Shew that the square on BC is equal to the squares on BA and AC. 4. ABC is a straight line. Shew that the square or AC is equal to the rectangles AC, AB, and AC, BC. 5. The sum of the squares on two straight lines is equal to the square on their difference and twice the rectangle contained by them. 6. ABC is a triangle having the angle BAC obtuse. CD is drawn from C perpendicular to and meeting BA produced in D. Prove that the square on AC is less than the squares on AB, BC by twice the rectangle AB, BD. 7. E is the centre and AEFD is a diameter of the circle ABCD. Shew that FA is greater and FD less than any other straight line that can be drawn from F to the circumference. 8. Draw from a given point without a circle a straight line touching the circle. 9. The angle in a semicircle is a right angle, the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. ENGLISH. The Board of Examiners. Note.-Pay particular attention to the spelling and punctuation of what you write; the writing must be neat and legible. The Essay must be attempted. 1. Parse fully each word which is printed in italics in the following passage: Of all the causes which conspire to blind What wants in blood and spirits, swell'd with Pride, where wit fails, steps in to our defence, 2. Make a full analysis of the following passage: Of the event of this work, for which, havin laboured it with so much application, I cann but have some degree of paternal fondness, it natural to form conjectures." 3. Give the derivation of each of the followin words : 4. Write out three stanzas from Tennyson's Dream of Fair Women, commencing "The high mast flicker'd." 5. (a) Distinguish between an adjective and a par ticiple. (b) Which of the following verbs are of the stron and which of the weak conjugation: (a) "It may be we shall touch the Happy Isles." (b) "Ere I saw her, who clasp'd in her last tranc Her murder'd father's head." (c) "My youth, she said, was blasted with (d) curse; This woman was the cause." "As e'er could Dennis of the Grecian stage.' |