10. On what measures the active and passive participles of primitive verbs are formed, and what is the rule for forming those from derivative verbs? 11. Translate the following passage into English : ارباب النعم وأهل المروات فلو وأما الذين ذكرتهم من كانت لهم مروة كما ذكرت لكان لا يهمنا هم العيش إذا رأوا واليتامي من أولاد اخو انهم والضعفاء فقرا هم وجير انهم واليتامي 49 من ابناء جنسهم جياعا عُراة مرضي زمني مغاليج مطروحن على دوة ويسألونهم خرقة وهم يطلبون منهم الطرقات يطلبون لا يلتفتون اليهم ولا يرحمونهم ولا يفكرون فيهم فاي مروة فيهم واى فنوة فيهم فثبت ان لا مروة ولا شفقة ولا رحمة لهم 66 12. Translate the following passage into Arabic : Certain Arab merchants exhibited some fine horses for sale, before a Persian King. The Shah was pleased with them, purchased them, and gave the merchants several hundreds of dinars above the value, saying, Bring more horses from Arabia." On this agreement they took leave and went to their own country. After some days the King, being exhilarated with wine, said to his Vezir, "Write the list of all the fools in my dominion." The Vezir said he had already done so, and had crowned the list by His Majesty's own name. The King asked why so? "On account of giving a large sum of money to strange horse merchants without any security whatever," replied the Vezir. The King said, "But if they bring the horses, what is then to be done ?" The Vezir answered, "Then your Majesty's name would be next to their's, and their name would be on the top of the list." and determine the arbitrary functions in such a way that the surface may touch the cylinder along the section x = o. y2+z2 = a2 where k is one of the roots of an algebraic equation with real coefficients, and show that if u1, uz, &c., be the values corresponding to the several roots u1+ u2+ &c. = a real quantity. a. Exhibit in a real form the values of u which correspond to 1. Real and positive roots; 2. Real and negative roots; 3. If p=f(0) be the equation of a plane curve, where p is the radius of curvature, and 0 is the angle which it makes with a fixed line, prove that p=a cos 0 + b sin 0 cos 0 [ fᎾ sin ᎾdᎾ + sin Ꮎ fᎾ cos Ꮎ ᏧᎾ, p being the perpendicular on the tangent. a. Apply this method to solve the following question:-Let x be one of the co-ordinates of a point on a plane curve, and x' the co-ordinate of the corresponding point on the involute; given that determine the curve. x-x=const. 4. If A be the area of a closed curve described on a sphere, and P the perimeter of its reciprocal, prove that A+ P = 2π a. With what limitation is this theorem to be received? 5. If a developable surface be circumscribed to an ellipsoid along a parallel, show that its rectilinear generatrix at any point is found by drawing through the normal a plane perpendicular to the equator. a maximum or minimum, the functions y and z being connected by a differential equation of the order m in y, and m' in z, show that if m'>m and n'>n and if only the extreme values of x be given, the solution may contain arbitrary constants, and determine their number. 7. If o be the radius of absolute curvature of a curve, traced on a given surface, which makes Sf(x, y, z) ds a maximum or minimum, and p' the radius of curvature of the tangent normal section, prove that where a, ẞ, y are the angles which the plane of the normal section makes with the co-ordinate planes. POLITICAL ECONOMY PRIZE EXAMINATION. PROFESSOR SLATTERY. Morning. 1. What is the plan of "The Inquiry into the Nature and Causes of the Wealth of Nations"? It has been described as perplexed and illogical; how far do you consider this censure well founded? 2. Compare the definitions of Fixed and Circulating Capital given by Adam Smith, Ricardo, and Mill, respectively. 3. State your theory of Profits and Wages, and apply it to the doctrine contained in the following passage: "The rate of profit is determined by the collective will of capitalists, just as the rate of wages is by the collective will of labourers: the former by the command which they have through their greater or less expenditure over the amount of capital; the latter by the command which they have, through their later or earlier marriages, over the amount of population” (Chalmers). 4. It has been alleged that population has a tendency to outrun the means of subsistence. To this doctrine it has been objected that many countries now support in comfort a far larger population than they could formerly support in comparative discomfort. Can you reconcile these statements? 5. State your theory of Rent, and apply it to the doctrine contained in the following passage: "There is not a shadow of evidence in support of the statement, that inferior lands have been occupied and cultivated as population increases. The increase of population has not preceded but followed this occupation and cultivation. It is not the pressure of population on the means of subsistence which has led men to cultivate inferior soils, but the fact that these soils being cultivated in another way, or taken into cultivation, an increased population became possible. How could an increased population have stimulated greater labour in agriculture, when agriculture must have supplied the means on which that increased population could have existed? To make increased population the cause of improved agriculture is to commit the absurd blunder of confounding cause and effect." Afternoon. I. "It is absolutely necessary to the natural development of the wealth of nations, and to the well-being of society, that money should increase just precisely as fast as all other marketable commodities, and no faster." "Money is subject to the general law of supply and demand; the more abundant it is, on the cheaper terms it is lent; the lower the rate of interest, the less of produce can it purchase. On the contrary, when money becomes scarce, the rate of interest rises, and the power of purchase becomes greater." Discuss those statements. 2. Mill considers that, under certain circumstances, a protective system is defensible; what are those circumstances? Do you accept his opinion? If so, show the inapplicability in the case supposed of the common arguments against protection. 3. What is known as the theory of Over-Production? By what arguments has it been upheld? If you do not think them conclusive, state in full your reasons for rejecting the theory. 4. "I feel perfectly convinced that if a sponge could be applied to the national debt, and if we could put out of our consideration the poverty and misery of the public creditors by supposing them to be supported comfortably in some other country, the rest of the society, as a nation, instead of being enriched, would be impoverished" (Malthus). Discuss this opinion; and trace the effects of the abolition of the debt, under the circumstances supposed, on (a) the landlord, (b) the capitalist, and (c) the labouring classes. 5. Compare the systems of direct and of indirect Taxation. DIVINITY EXAMINATION. SENIOR CLASS. THE PROFESSOR OF DIVINITY. 1. What is the testimony for the Hebrew original of St. Matthew's Gospel; and what are the difficulties which weaken its force? 2. What Aramaic words used by our Lord are preserved, and by which of the Evangelists ? 3. Where in the New Testament does the adverb iẞpaïorí occur? 4. What is the ancient testimony to the apostolicity and authorship of the Apocalypse? Give an abstract of the criticism of Dionysius of Alexandria. 5. What is the external and internal evidence as to the date of the book? 6. What is the Muratorian Fragment, and what are the books which it acknowledges? 7. Mention the principal apparent quotations from Scripture in the New Testament which there is a difficulty in referring to any passage in the Old Testament. 8. What are the Eusebian Canons ? 9. Mention briefly the evidence with respect to the more important New Testament texts bearing on the question of our Lord's Divinity about which there is a difference of reading. 10. Mention some of the more important Old Testament various readings. 11. On what practical points of difference between the Church of England and that of Rome is it in the power of the latter to make concessions without violation of her principles? 12. By whom were the words "Securus judicat orbis terrarum" used, and with what meaning? 13. Discuss the three principal texts alleged to prove the Supremacy of Peter. 14. What Popes have been accused of heresy, and on what grounds? 15. Give some account of the history of the forged Decretal Epistles. 16. What are the steps by which the doctrine of the Immaculate Conception became established in the Church of Rome? 17. What Scripture examples of a sanctification before birth have been cited? 18. What is the Roman Catholic theory as to the nature of original sin, and how does it differ from that stated in our ninth Article ? |