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 con spiracy. 4. Decline in full—aciem, caedis, cuspide, hirundo, nocte, parietibus, potentibus, vulnus. ALGEBRA. The Board of Examiners. Zvery 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. 2. Find the quotient and remainder obtained by dividing 3. Prove that (x + y) - (x - y)* = 8ry (x2 + y). a 5. Solve the equations = (x b + c) (x – a + b -c). a3 + b3 ax + by = ab (iii) (x – a + c) (x – b+c) + (x — a —c)(x—5—c) = 2 (ab + c). X + a 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 ama" integers. amtm where m and n are positive 7. E is the centre and AEFD is a diameter of the 4 GEOMETRY. The Board of Examiners. The symbol – must not be used; and the only abbre viation admitted for “the square described on the straight line AB” is “sq. on AB,” and for “the rectangle contained by the straight lines AB,CD" is "rect. AB,CD.” 1. To bisect a given rectilineal angle. 2. ABC is a triangle, and the side B C is produced to D. Shew that the angles CAB and CBA are together equal to the angle ACD. 3. BAC is a triangle having the angle A a right angle. Shew that the square on BC is equal to the squares on BA and AC. AC is equal to the rectangles AC, AB, and 5. The sum of the squares on two straight lines is equal to the square on their difference and twice 6. ABC is a triangle having the angle BAC obtuse. CD is drawn from C perpendicular to and 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. lote.-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: wind; 2. Make a full analysis of the following passage : Of the event of this work, for which, having laboured it with so much application, I cannot but have some degree of paternal fondness, it is natural to form conjectures." words: progress. maxim. critic. haughty. orthography wit. explode. visitant. 4. Write out three stanzas from Tennyson's Dream of Fair Women, commencing “ The high masts weave. 5. (a) Distinguish between an adjective and a par ticiple. and which of the weak conjugation : freeze. gild. bring stand. slide. passages : " Her murder'd father's head." curse ; This woman was the cause." |