Stewart's theory seems to be inconsistent with Natural Realism? There is a form of Natural Realism with which it might be reconciled? 5. What account is given by Stewart of the various theories which have been held with respect to the object of our thoughts where we employ general terms? What are the two ways in which, according to Stewart, general truths may be obtained? What argument in favour of Nominalism does Stewart regard as decisive? In what sense, and how far, may the existence of General Ideas be admitted? 6. How are the phenomena of dreaming considered by Stewart, and what are the results at which he arrives? What is Prevost's objection to Stewart's theory, and how is it answered by Stewart? Stewart mentions some circumstances which seem to confirm the validity of his second answer? There is a mode of getting over the difficulty, simpler than those mentioned by Stewart? Classics. HOMER. MR. GRAY. Translate the following passages: I. Beginning, Ὣς ἄρα φωνήσαντε, πάρεξ ὁδοῦ ἐν νεκύεσσι, κ. τ. λ. 3. Beginning, Τόνδ ̓ ἀπαμειβόμενος προσέφη πολύμητις Οδυσσεύς· κ. τ. λ. Ending, Τρωσὶν ἐφ ̓ ἱπποδάμοισιν ἐγείρομεν ὀξὺν ἄρηα. 4. Beginning, Πηλείδης δ' ἀπόρουσεν, ὅσον τ' ἔπι δουρὸς ἐρωὴ, κ. τ. λ. 1. How does Grote define the really mythopoeic age? Contrast the Homeric epic with the iambic, elegiac, chorie, and lyric poetry from Archilochus downwards, 2. Xenophanes, Thales, and Pythagoras, deviated from the Homeric and Hesiodic philosophy by a step, perhaps the most remarkable in all the history of philosophy ? 3. State at some length the different modes in which the ancient mythes were treated, during the literary life of Greece, by the poets, logographers, historians, and philosophers. 4. How did the mythes and Grecian art affect each other? 5. Contrast Grecian progress with the development of the early Ger mans. 6. Mythopoeic tendencies in modern Europe were satisfied by two classes of narratives? These were in some respects analogous to, and in some respects differed from, the Grecian mythes? MR. MAHAFFY. Translate the following passages:— 1. Beginning, Hinc graviora virum certamina, comminus ensis...... Ending, Nec manes pacem passi. SILIUS ITAL., lib. xvi. .... 2. Beginning, Hæc inter tumidi late maris ibat imago.. Ending, Læta vomunt, patriumque aperitur vertice sidus. VIRGIL, Eneid, lib. viii. 3. Beginning, Ac velut, effusa si quando grandine nimbi...... Ending, Et tunicam, molli mater quam neverat auro. 4. Beginning, Non oblita animorum, annorum oblita suorum,. Ending, Latravit, conata loqui. Ibid., lib. x. OVID, Metam. 1. What are the subjects treated in Ovid's 13th book of Metamorphoses? 2. Quote some lines from his imitation of Theocritus. 3. What are Merivale's reflections on the Roman Amphitheatre ? 4. In what respects were the Roinans most successful in imitating Greek culture, and where did they fail? 5. Discuss the character and importance of Ovid's Tristia. 6. Quote and explain Ovid's lines on Baiæ. MR. PALMER. Translate the following passage into Latin Prose: It cannot indeed be expected of all to be poets and philosophers; it is necessary that the greater part of mankind should be employed in the minute business of common life; minute, indeed, not if we consider its m influence upon our happiness, but if we respect the abilities requisite to conduct it. These must necessarily be more dependent on accident for the means of spending agreeably those hours which their occupations leave unengaged, or nature obliges them to allow to relaxation. Yet even on these I would willingly impress such a sense of the value of time, as may incline them to find out for their careless hours amusements of more use and dignity than the common games, which not only weary the mind without improving it, but strengthen the passions of envy and avarice, and often lead to fraud and to profusion, to corruption and to ruin. It is unworthy of a reasonable being to spend any of the little time allotted us, without some tendency, either direct or oblique, to the end of our existence, And though every moment cannot be laid out on the formal and regular improvement of our knowledge, or in the stated prac tice of a moral or religious duty, yet none should be so spent as to exclude wisdom or virtue, or pass without possibility of qualifying us more or less for the better employment of those which are to come. Translate the following passage into Greek Prose :— It has always been the practice of mankind to judge of actions by the event. The same attempts, conducted in the same manner, but termi, nated by different success, produce different judgments: they who attain their wishes never want celebrators of their wisdom and their virtue; and they that miscarry are quickly discovered to have been defective not only in mental but in moral qualities. The world will never be long without some good reason to hate the unhappy; their real faults are immediately detected; and if those are not sufficient to sink them into infamy, an additional weight of calumny will be superadded: he that fails in his endeavours after wealth or power, will not long retain either honesty or courage. Translate the following passage into Greek or Latin Hexameter Verse :— Death closes all: but something ere the end, The long day wanes: the slow moon climbs, the deep Push off, and sitting well in order smite The sounding furrows; for my purpose holds A. TENNYSON. JUNIOR FRESHMEN. Mathematics. A. MR. WILLIAMSON. 1. The sides of a triangle are 4, 5, 6; calculate to three decimal places the length of the bisector of the least angle. 2. Show how to find two lines which shall be to each other in a ratio compounded of the ratios of any number of given magnitudes, taken two and two. 3. Prove that the expression √(a-x)(x-b) is real for all values of between a and b, and imaginary for all other real values of x. 6. Find three numbers such that if the first be multiplied by the sum of the second and third, the second by the sum of the first and third, and the third by the sum of the first and second, the products shall be 154, 180, and 208. DR. TRAILL. 7. Given the sum of the sides of a triangle, the difference of the segments of the base made by the perpendicular from the vertex, and the difference of the base angles; construct the triangle. 8. Prove that the rectangle under the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles under the opposite sides. 9. In how many ways can six children form themselves into a ring to dance round a May-pole? 10. Divide the year into two parts, such that the sum of the squares of the number of days in each shall be 69733. 11. In what proportion should a dealer mix tea, worth 3s. 4d. a pound, with tea worth 28. a pound, so as to sell the mixture at 28. 4d. a pound? 12. Find the length, to five places of decimals, of the greater segment of a line cut in extreme and mean ratio, if the length of the whole line be 48 feet. MR. BURNSIDE. 13. Through a fixed point draw a chord of a circle of given length. 14. Determine the radius of the circle circumscribing the triangle whose sides are a, b, c. 15. Prove that the rectangle under the sides of a triangle is equal to the square of the bisector of the angle contained by the sides, together with the rectangle under the segments of the base made by the bisector. 16. Solve the equation 17. Given x+y=p, and xy=q, find the value of x1 + y^, 18. Prove that (a + B + y)3 (a3 + ß3 + y3) = 3 (B + y) (y + a) (a + B). B. MR. WILLIAMSON. 1. In a plane triangle, prove the relation R cos A+ cos B+ cos C-1. 2. Find the simplest form of the expression aa (ba — c2) + b4 ( c2 — a2) + c1 (a2 – b2) (a-b) (b-e) (c-a) 3. If a quadrilateral be inscribable in a circle, find an expression for its area in terms of the sides. 4. Find the coefficient of x7 in the expansion of (a + bx + cx2 + dx3)5. 5. Show that one root of the equation √2x2 + 3x + 1 + √ 4x2 + 1 3x + 9 = √10x2 + 34% + 24 is - 1 ; and find the remaining roots. I |