6. Show how the Hellenic story of the origin of Rome grew up. 7. Discuss the question of the date of the Greek immigration into Italy. MR. FERRAR. Translate the following passage into Latin Prose :— These men came from neither of the classes which had, till then, almost exclusively furnished ministers of state. They were all laymen; yet they were all men of learning; and they were all men of peace. They were not members of the aristocracy. They inherited no titles, no large domains, no armies of retainers, no fortified castles; yet they were not low men, such as those whom princes, jealous of the power of a nobility, have sometimes raised from forges and cobbler's stalls to the highest situations. They were all gentlemen by birth. They had all received a liberal education. It is a remarkable fact that they were all members of the same university. The two great national seats of learning had even then acquired the characters which they still retain. In intellectual activity, and in readiness to admit improvements, the superiority was then, as it has ever been since, on the side of the less ancient and splendid institution. Cambridge had the honour of educating those celebrated Protestant Bishops whom Oxford had the honour of burning; and at Cambridge were formed the minds of all those statesmen to whom chiefly is to be attributed the secure establishment of the reformed religion in the north of Europe.-LORD MACAULAY on Bacon. Translate the following passage into Latin Verse : Well may you sit within, and, fond of grief, Well may you shun all counsel, all relief. Oh! she was great in mind, tho' young in years! Changed is that lovely countenance which shed Played round her lips, and sparkled in her eyes. Those lips so pure, that moved but to persuade, Translate the following passage into Greek Prose : Already energetic characters on any large scale are becoming merely traditional. There is now scarcely any outlet for energy in this country except business. The energy expended in this may still be regarded as considerable. What little is left from that employment is expended on some hobby; which may be a useful, even a philanthropic hobby, but is always some one thing, and generally a thing of small dimensions. The greatness of England is now all collective: individually small, we only appear capable of anything great by our habit of combining; and with this our moral and religious philanthropists are perfectly contented. But it was men of another stamp than this that made England what it has been ; and men of another stamp will be needed to prevent its decline. MILL on Liberty. Translate the following passage into Greek Verse :-- "The fault was mine, the fault was mine"- And there rises ever a passionate cry A dawn of Eden bright over earth and sky, For she, sweet soul, had hardly spoken a word, Heap'd on her terms of disgrace, And while she wept, and I strove to be cool, Till I with as fierce an anger spoke, And he struck me, madman, over the face, Who was gaping and grinning by: Wrought for his house an irredeemable woe; And a million horrible bellowing echoes broke TENNYSON'S Maud. EXAMINATION FOR LICENSE IN ENGINEERING. MR. TOWNSEND. THEORETICAL MECHANICS. 1. A horizontal beam MN, supported at both ends M and N, is loaded with four weights P, Q, R, S at four points A, B, C, D; required the condition that the whole bending moment due their joint action should be constant throughout the entire interval BC. 2. A horizontal uniform beam, fixed at both ends, is loaded with a weight W, first uniformly distributed, and then concentrated at its middle point; investigate the central deflections in the two cases, and determine their ratio to each other. 3. A beam, of any magnitude or form, is suspended, in any position, from two points, by two cords attached to its extremities; given the weight W of the beam, and the inclinations a and ẞ of the cords to the horizon, determine the pressures on the points. 4. Two equal beams, connected by a hinge at a common extremity, and inclined at equal angles to the horizon, are supported by a smooth horizontal cylinder, against which they both rest; given the particulars of the system, determine their common strain on the hinge, and pressure on the cylinder. 5. A triangular frame is held in equilibrium by three concurrent forces; given the particulars of the frame, determine the position of the point of concurrence in order that the strains on the three bars should be equal. 6. Investigate the theoretical formula for the limiting height of a river wall, whose section is a rectangular trapezium, of which the sloping side is turned towards the water, and whose specific gravity and breadths at base and summit are given. 7. Determine the moment of the force of a storm of given intensity to overturn a cylindrical pillar of given dimensions, the direct force per unit of area of the wind being given. 8. An elastic ball of given weight, moving with a given velocity, strikes perpendicularly, at a given point, against a uniform rectangular har, of given weight and dimensions, suspended vertically from one extremity; determine the initial velocity of the centre of gravity of the bar. 9. Determine, in the same case, by the principle of work, what that initial velocity should be, in order that the bar should be just raised by it from its original vertical to a horizontal position, against the action of gravity. PRACTICAL MECHANICS. I. A rectangular block of dressed granite (sp. g. = 2.5), 6, 4, and 2 ft. in length, breadth, and depth, respectively, rests on a rough horizontal plane; if the least force that will suffice just not to move it be I ton, required the angle of friction. 2. Required, in the same case, the time, in seconds, in which it would fall through 150 ft. down a plane of the same roughness, inclined 30° to the horizon. 3. Calculate, in feet, the limiting height to which a rectangular wall of brickwork could be raised, so as to sustain without falling the pressure of earth (sp. g. = 1.5) resting against its entire face at its natural slope of 55°. 4. A horizontal rectangular beam, 15 ft. long, 10 in. deep, and 5 in. thick, fixed at both ends, undergoes a central deflection of 1 in. under a load of 1 ton placed at its middle point; required its modulus of elasticity in lbs. per square inch of its transverse area. 5. The upper flange of a Warren semi-girder, connected with the lower by 10 diagonal bars inclined 60° to the horizon, sustains a uniformly distributed load of 5 tons; required in tons the strains in the several bars and bays. 6. Calculate the same for a similar but entire girder of double the above length and number of bars, and similarly loaded with double the above weight. THEORY OF THE STEAM ENGINE. MR. GALBRAITH. 1. Find the expression for the relative volume of steam. 2. Calculate the external work done in evaporating one pound of water. 4. Reduce the French unit of engine power, namely, 75 kilogrammeters per second, to English foot-pounds per minute. 5. Calculate the values of e and k for an expansion of 55 per cent. = 6. From the following data, find the diameter of the cylinder of a low-pressure condensing engine :-H. P. 150; steam cut off at §; length of stroke, 5 ft. 4 in.; number of revolutions, 18; evaporation, 1.2 cubic feet per minute. 7. Find the pressure in the cylinder. 8. If the boiler pressure be 90 lbs., find the maximum H. P. CHEMISTRY AND MINERALOGY. DR. APJOHN. 1. Give the rule of Berthollet for anticipating the results of electric affinities. 2. Deduce the atomic volumes of carbonic acid and of nitric oxide, the specific gravity of the former being 1.5202, and that of the latter 1.0365. 3. How is the chloride of iron made, and how is it converted into sesquichloride? and what is the reaction of ferrideyanide of potassium on the former, and of ferrocyanide of potassium on the latter salt? 4. How is chlorine gas developed ? and what are the products obtained in the two following cases: 1° when the gas is passed into an excess of water of ammonia; 2° when it is conducted into a solution of protosulphate of iron? 5. Explain how you would analyze an alloy of gold and platinum, and mention the chief uses of the chlorides of these metals in chemical analysis. 6. An alloy consists of lead, silver, and zine; how would you determine in a given weight of it the amount of each of its constituents? 7. The amount of iron in a chalybeate water, and of sulphur in a sulphureous water, may be determined by certain volumetric processes; state what these processes are, and explain them. 8. An iron pyrites, mixed with blende, gave upon analysis the following results: Sulphur, Loss, 48.34 34.25 16.36 1.05 100.00 Explain how these results were obtained, and give the formula by which they are best represented. 9. Enumerate the principal carbonates occurring in the mineral kingdom, and at the same time give the formula of composition and crystalline system of each. 10. Mention the leading anhydrous earthy sulphates which occur as minerals, and describe the processes by which heavy spar may be converted into chloride of barium. 11. What is the composition of red hematite, brown hematite, magnetic iron ore, and clay iron stone? State also the means by which the latter mineral is converted successively into pig iron, bar iron, and steel. 12. A mineral on analysis was found to consist of How was the analysis made, and what is the formula and name of the mineral? DR. DOWNING. 1. An experimental beam of wrought iron, constructed in the form of a rectangular tube, 17 feet 6 inches in the clear span, and 184 inches deep, fails with a load of 3.04 tons applied at the centre, its own weight being |