12. If (ax1+b) (ax2+b) + a √(axı2 + 2bx1+e) (ax22+2bx + c) = k2, 14. Prove that a circle meets an ellipse in four points, the sum of whose eccentric angles is zero. 15. Find the value of the definite integral I. Beginning, Ενθ ̓ ἐπορεξάμενος μεγαθύμου Τυδέος υἱὸς, κ.τ.λ. HOMER, I., v. 335-342. 2. Beginning, Εκτωρ δὲ πρύμνης νεὸς ἥψατο ποντοπόροιο, κ.τ.λ. Ending, Αφλαστον μετὰ χερσὶν ἔχων, Τρωσὶν δὲ κέλευεν· Ibid., xv. 704-717. Beginning, “Η νῦν ἡμέτερον δόμον ἵκει· τῷ με μάλα χρεὼ, κ. τ. λ. Ibid., xviii. 406-420. 5. Beginning, ἔσθιε νῦν, ὦ ξεῖνε, τά τε δμώεσσι πάρεστιν, κ.τ.λ. Ending, κτήματα δαρδάπτουσιν ὑπέρβιον, οὐδ ̓ ἔπι φειδώ. Ibid., xiv. 80-92. 1. What varying estimates have been made of the nature and importance of the homeric agora? What state in later Greek history best represents it? 2. Write a note on the development of trades and skilled work in Homeric days. What light have Dr. Schliemann's researches thrown on this? 3. In what respects is Grote's Homeric theory conservative? What are his difficulties about the 9th Book of the Iliad? 4. What does Mr. Gladstone mean by the "Slicing of Hector"? Notice some inconsistencies of character in the Iliad. 5. Trace the history of religious scepticism among the Greeks down to Pericles' time. 6. Write a note on the lions of the Iliad and Odyssey, and on the historical notices of lions as existing in Hellenic countries. 7. What is the history of Epic poetry in Greece subsequent to Homer? 8. What is known of the date of the Homeric poems or their author? How have the wide discrepancies on this point been accounted for? 9. Describe the best мs. of the Iliad, and show its importance in the history of Homeric criticism, especially as regards the critical marks it contains. 10. Give some account of what is contained in the 13th, 15th, and 17th Books of the Iliad. II. Write a note on the proper names of the Phæacians, and on their games, as compared with those in the Iliad. MR. L. C. PURSER. Translate into English: 1. Beginning, Tum sic Hyrtacides: Audite o mentibus aequis, Ending, Adfore cernetis. VIRGIL, Aeneid, ix. 234-243. 2. Beginning, Et Iuno adlacrimans: Quid, si, quae voce gravaris, Ending, Ludar, et in melius tua, qui potes, orsa reflectas! .... Ibid., x. 628-632. 3. Beginning, Tum Drances, idem infensus, quem gloria Turni, Ending, Quid fortuna ferat populi; sed dicere mussant. .... Ibid., xi. 336-345. 4. Beginning, Iunonem interea Rex omnipotentis Olympi, Ending, Ventum ad supremum est. Ibid., xii. 791-803. .... 5. Beginning, Ecce freto scindens alti novus incola ponti, Ending, Ultimaque excipiat quod tortilis inguina piscis. OVID, Metam., xiii. 904-915. 6. Beginning, Accubuere dei. Mensam succincta tremensque, Ending, Accessere boni, nec iners pauperque voluntas. .... Ibid., viii. 660-678. 1. Write notes on (a) Paucis comitate Cupavo Cuius olorinae surgunt de vertice pennae, Crimen Amor vestrum formaeque insigne paternae. (b) Medios ignes et numina testor. 2. "The Aeneid is essentially a religious poem." Examine this remark, and discuss from that point of view the character of Aeneas. 3. Explain-Actorides, Dymantis, Naupliades, Neritiae domus, Poeantiades. 4. "Non apis inde tulit collectos femine flores." What have you to remark on this reading of Merkel? What is the Mss. reading? How has Mr. Keene emended the line? 5. What consolation did Aurora get for the death of Memnon? 6. The political notions of the Greeks and Romans were remarkable for their similarity? 7. What was the Breviarium Imperii? 8. Describe the approach to Rome. 9. Write a note on the architecture of―(1) dwelling-houses, (2) temples at Rome. What were the insulae ? 10. Describe the cena. It deserves to be regarded as a national institution? II. Give a short account of Tibullus and his works. MR. GRAY. For Latin Prose : But But it was in the endurance of calamity rather than the defiance of danger that the courage of Cicero was deficient. The orator, whose genius lay in the arts of peace and persuasion, exhibited on more than one occasion a martial spirit worthy of other habits and a ruder training. In the contest with Catilina he displayed all the moral confidence of a veteran general: in the struggle with Antonius he threw himself without reserve into a position where there was no alternative but to conquer or to perish. In the earlier conflict he had still his fame to acquire, his proud ascendancy to establish; and the love of praise and glory inspired him with the audacity which makes and justifies its own success. in the later, he courted danger for the sake of retaining the fame he so dearly prized. He had once saved his country, and he could not endure that it should be said he had ever deserted it. He loved his country; but it was for his own honour, which he could preserve, rather than for his country's freedom, which he despaired of, that he returned to his post when escape was still possible. He might have remained silent, but he opened the floodgates of his eloquence. When, indeed, he had once launched himself on the torrent he lost all self-command; he could neither retrace nor moderate his career; he saw the rocks before him, but he dashed himself headlong against them. For Greek Prose : To scatter praise or blame without regard to justice is to destroy the distinction of good and evil. Many have no other test of actions than general opinion; and all are so far influenced by a sense of reputation, that they are often restrained by fear of reproach, and excited by hope of honour, when other principles have lost their power; nor can any species of prostitution promote general depravity more than that which destroys the force of praise, by showing that it may be acquired without deserving it, and which, by setting free the active and ambitious from the dread of infamy, lets loose the rapacity of power, and weakens the only authority by which greatness is controlled. Praise, like gold and diamonds, owes its value only to its scarcity. It becomes cheap as it becomes vulgar, and will no longer raise expectation or animate enterprise. It is therefore not only necessary that wickedness, even when it is not safe to censure it, be denied applause, but that goodness be commended only in proportion to its degree. For Latin Verse: The silent moon had scaled the vaulted skies, Ah! not the nymph so blooming and so gay, Entombed beneath the grass-green sod was laid. No more her eyes their wonted radiance cast, Nor such her hair as deck'd the living face, Nor such her voice as charm'd the listening crowd: For Greek Iambics: Iph. Though woman, I am born as free as man. To treat with due respect the words of woman. Tho. I more respect them than a brother's sword. Nor yet defenceless 'gainst severity Hath nature left the weak; she gives him craft Logics. MR. ABBOTT. 1. Quote some of the passages in which Bacon insists on the importance of seeking for truth rather than immediate usefulness. 2. "Knowledge is Power." Although these words do not occur in Bacon, he expresses the same thought. Quote some statements of this kind. 3. What instances does he suggest of "variatio in efficiente"? State which of these experiments have been tried, and with what results. 4. "Imbalsationes et mel cadavera conservant; annon possit aliquid ex his in medicinam transferri, quod etiam vivis corporibus prosit ?" What is the fallacy in this suggestion of Translatio Experimenti ? 5. "Ratio omnium maxima ad faciendam spem"? 6. "Medici operam praestant meliorem." In what respect? and why did they not succeed better? 7. "Philosophiae genus empiricum placita magis deformia et monstrosa educit, quam sophisticum aut rationale genus." What reason does Bacon give, and what instances? 8. Instances of "rerum nomina quae non sunt"? 9. What are Bacon's instances of really physical kinds of motion? What is his objection to the distinction of motions into "latio," "alteratio," etc.? 10. "Pro peste intellectus habenda est, si vanis accedat veneratio." What examples does Bacon give, ancient and modern? DR. TARLETON. 1. Why is there good reason, according to Mill, for regarding names as names of things, and not merely of our ideas of things? What does Mill mean by a thing, and what by an idea? What Mill calls a thing some other philosophers would call an idea? |