8. Sketch a longitudinal vertical section of a sewage settling tank. If the continuous system be adopted, what rate of flow would you recommend? What tank accommodation would you provide in reference to the daily flow? 9. Make figured sketches of a manhole and ventilator combined in a deep sewer. At what intervals should ventilators be placed? 10. Make figured longitudinal and cross-sections of the St. Gothard tunnel, and describe how the work was executed. SECOND PAPER. SECTION A. PROFESSOR FITZGERALD. 1. State approximately the maximum pressures found to be produced by waves against breakwater structures, mentioning any notable instances you know of the moving of heavy masses of masonry thereby. 2. Describe, with sketches, means adopted for keeping a clear entrance channel in such harbours as (a) Calais, (b) Liverpool, (c) the Seine estuary. 3. Sketch and describe the general arrangements of a graving dock, and the means used for closing its entrance. 4. Sketch and describe the works usually necessary in constructing a quay wall in masonry on a piled foundation, with a depth alongside of about 26 feet at low water. 5. Sketch and describe the construction and way of operating a needle regulating weir in a river. SECTION B. PROFESSOR TOWNSEND. 6. Describe, by means of a sketch, Joy's valve gear, and state its advantages. 7. Describe Watt's parallel motion, and make a sketch of its application to the piston-rod of a beam-engine. 8. Describe, by sketches, the Lancashire boiler fitted with Galloway's tubes. 9. Given the outside lap, the lead, and the position of the crank, when the steam is cut off, find, by Zeuner's valve diagram, the throw of the eccentric and the angle of advance, and the position of the crank when the steam is admitted. 10. Make a sketch of the ejector and vacuum brake applied to a carriage of a passenger train, and describe its action. THIRD PAPER. SECTION A. PROFESSOR FITZGERALD. 1. Sketch and describe the construction of a sluice-valve for a large water-main pipe. 2. State the data, and measures for getting them, requisite for selecting a site, and assigning capacity, of a waterworks storage reservoir. 3. Sketch and describe the Norton water-tower of the Vyrnwy waterworks. 4. Sketch the section of filter employed in the Liverpool waterworks. 5. What proportion may be generally assumed in this country between rainfall of dryest year, mean rainfall of three dry years, and general mean rainfall? SECTION B. PROFESSOR Townsend. 6. The inner and outer diameters of a hollow shaft are 10 inches and 12 inches, and the maximum working shearing stress is 6 tons per square inch: calculate the twisting moment in inch tons. 7. Calculate the thickness of a cast-iron pillar 8 inches in external diameter and 14 feet high, sufficient to bear a load of 62 tons, the factor of safety being 6, and both ends flat and bedded with extreme care. 8. What is the composition of cast iron, and how is it affected by the carbon? What is the best kind for engi neering work? How is malleable cast iron produced? 9. Describe the properties of the following kinds of timber. Mention the places from which they are imported, and the uses to which they are applied :-greenheart, jarrah, yellow pine, hickory, lignum vitæ, teak. 10. What are the criteria of good brick? State the composition of fire-brick, and mention the localities which produce the best kinds. DRAWING. PROFESSOR FITZGERALD; PROFESSOR Townsend. [Lithograph Sketches, Figs. 9, 10, and 11, accompany this Paper.] You are furnished with sketches (a) for a civil engineering, (b) a mechanical engineering, (c) an architectural drawing. The sketches are not made to scale; but the principal dimensions and enough details are given you to enable you to make a complete coloured drawing, in which you are to supply such details and dimensions as you judge necessary. Choose any one of the three sketches, and prepare a complete coloured drawing in accordance with the instructions furnished by the sketch. SURVEYING, LEVELLING, AND MENSURATION. PROFESSOR FITZ GERALD; PROFESSOR TOWNSEND. 1. Take out the quantities of the structure represented in the lithograph, fig. 7, supplied you herewith. 2. Practical examination with the level. AFTERNOON PAPER. PROFESSOR FITZGERALD; PROFESSOR TOWNSend. [Lithograph Plan, Fig. 8, accompanies this Paper.] 1. Take out the acreage of each field of the accompanying survey, fig. 8, in acres, roods, and perches, statute measure. 2. Practical examination with the theodolite. GEOLOGY. SECTION A. PROFESSOR ANDERSON. 1. Give a list of iron ores in order of their economic importance. Refer to their colours, composition, and other features which will enable one to recognise them. Mention instances where iron in small quantity gives a character or a value to other minerals. 2. Discuss the relative values of-basalts, diorites, limestones, granites, and greywackes, as roadstones. 3. What are the characters and composition of-selenite, magnetite, rhodonite, galena, wollastonite, petalite, tetrahedrite, stibnite, cassiterite, strontianite? 4. Give an account of the physical performances of a glacier. SECTION B. PROFESSOR CUNNINGHAM. 5. Give an account of the principal compounds of zinc and tin. 6. Describe the distribution of the coal fields of Great Britain and Ireland. 7. State the nature of the following rocks :-pitchstone, trachyte, gabbro, picrite. 8. Give an account of the nature, distribution, and fossil contents of the Rhætic beds of the British Islands. HONOUR EXAMINATIONS. FIRST PROFESSIONAL EXAMINATION. MATHEMATICS. [Tables allowed.] SECTION A. ALGEBRA, SOLID GEOMETRY, SPHERICAL TRIGONOMETRY. PROFESSOR DIXON. 1. The expansion of (1 + x)" by the binomial theorem is ∞o + C1x + C2x2+... Prove that 2. Inscribe a cube in a given sphere. 3. Construct a sphere cutting four given spheres orthogonally. 4. Prove, without assuming any of the formulæ of spherical trigonometry, that in any spherical triangle cos A+ cos B cos C = sin B sin C cos a. 5. Solve the triangle in which a = 43° 31', b = 57° 43′, C = 19° 46'. 6. In a spherical triangle A+ C = B, prove that cos a + cos c = 1 + cos b, and find the corresponding theorem in plane trigonometry. SECTION B. PLANE GEOMETRY AND TRIGONOMETRY. PROFESSOR GIBNEY. 7. Prove that the quadrilateral of greatest area that can be inscribed in a given circle is a square. 8. From a triangle ABC a second triangle A,B,C, is derived by joining the vertices A, B, C to the centre of the incircle and drawing tangents to the incircle at the points |