GEOMETRY. The Board of Examiners. The symbol - must not be used; and the only abbreviation 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. In the two triangles LMN, PQR, the angle LNM is equal to the angle PRQ, and the angle LMN to the angle PQR, also the side MÑ equal to QR; prove that the side LM is equal to PQ. 2. Triangles on the same base and between the same parallels are equal to one another. 3. In a right-angled triangle the square on the side opposite the right angle is equal to the sum of the squares on the other sides. 4. Cis the middle point of a straight line AB, and D is any other point in it; prove that the rectangle contained by AD and DB together with the square on CD is equal to the square on AC. 5. If a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part of it produced are together double of the sum of the squares on half the line bisected and on the line made up of the half and the part produced. 6. Divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 7. If a diameter of a circle cut a chord at right angles, it bisects it. 8. P is a point outside a circle whose centre is 0, and the straight line PO cuts the circle in M, and when produced cuts it in Q; show that PM is the least and PQ the greatest line that can be drawn from P to the circle. 9. If from a point outside a circle two straight lines be drawn, one of which cuts the circle and the other touches it; the rectangle contained by the whole line which cuts the circle and the part of it outside the circle is equal to the square on the line which touches it. ENGLISH. The Board of Examiners. Note.-Pay particular attention to Handwriting and Spelling. 1. Write an Essay on the following subject:Which is the happier, town life or country life? (The Essay should be about a page of foolscap in length.) 2. Analyse the following passages: (a) The wise Ulysses was more indebted to his sleeping than his waking moments for his most subtle achievements. (b) If the Boston of sixty years ago had ventured to prophesy for itself literary renown, it is easy to see upon what reputation of the time it would have rested its claims. (Candidates may use any recognized scheme of analysis, but must make quite clear how many clauses there are, and where each begins and ends.) 3. Parse every word in italic in the following sentences. In parsing, state the part of speech, and show the connexion of the word with the rest of the sentence: When first thy sire to send on earth And bade to form her infant mind. There are fen who would not readily acknowledge that mainly in worthy books are preserved and hoarded the treasures of wisdom and knowledge which the world has accumulated. 4. Write out four lines after each of the following openings: (a) The fisher left 5. What were the Christian names of Hawthorne, Irving (the American author), and Marvell? Who was the "Man of Blood?" Who were the "hurghers of St. Genevieve?" On what river is St. Malo ? What are natives of St. Malo called? What is the usual name of Almayne, and of Aurigny's isle? Write down the names that fill the blanks in the following: And And loves the orchard; loves the vine; loves the straw-built shed, Warm with the breath of kine. 6. Give the meaning and origin of each of the following words: Aqueduct, clarions, colonnade, cornet, culverin, disembogues, fane, halberdier, impecuniosity, Levant, martyr, simony. 7. Explain the allusions in:-Oriflamme, Temple Bar, Thule's winter, Lucumoes, the Red King, Byrsa's thousand masts, Tenebræ, Quaresima. 8. Make the meaning clear, and comment on the grammar of the following passages: (a) Like a crowd of frightened porpoises a shoal of sharks pursue. (b) Is it love the lying's for? (c) As the big ship, with a bound, Clears the entry like a hound, Keeps the passage as its inch of way were the wide sea's profound. (d) In memory of the man but for whom had gone to wrack All that France saved from the fight whence 9. Explain the following passages:— (a) He fingered the white bean which was to keep a hated name out of the borsa with more complacency than if it had been a golden florin. (b) The inglorious, bloodless battles in which no man died of brave breast-wounds. (c) This, this is he for whom the world is waiting. (d) Rousseau-tinted spectacles. (e) Few people I suspect alluded twice to a needle in Sir John Hawkwood's presence. (f) Alabamas are not wishes. 10. Browning, George Eliot, Lowell, Macaulay. (a) Arrange these four names in order of the dates of the deaths of the writers. (b) Write a brief life of one. 11. Define the following grammatical terms-diphthong, labial, syllable, interjection, inflexion, ordinal, infinitive, auxiliary, suffix, and give an example of each. 12. What is the transitive form of each of the following verbs:-Drink, fall, lie, rise, sit? What are the past participles of the following verbs :-grave, heave, melt, prove, work? B CE ONE SHILLING. |