3. Find the attraction of a uniform straight line on an external point.

4. A particle moves under an attraction in its line of motion varying directly as the distance of the particle from a fixed point in that line; determine the motion.

5. A particle is constrained to move on a given smooth plane curve under given forces in the plane of the curve; determine the motion.

6. State and prove the principal properties of the hodograph of an orbit described in a given

manner.

7. Apply D'Alembert's principle to obtain the equations of motion of a system of rigid bodies.

8. State and prove the principle of Vis Viva.

9. Obtain formulæ for the determination of the centre of pressure of any plane area.

10. Establish Euler's hydrodynamical equations.

CHEMISTRY AND MINERALOGY.

Professor McCoy.

1. Give some examples to illustrate the modern view of the nature of Anhydrides and of their relation to Acids.

2. Describe the methods of finding the specific gravity of (a) porous insoluble solids, (b) solids soluble in water, (c) solids less dense than water, (d) liquids, (e) gases, with the precautions to be observed; giving examples of the calculations to be used.

3. Explain clearly the law according to which variations of Atomicity take place in certain elements. 4. Explain the use of the law of Dulong and Petit in determining the Atomic Weight of elements in doubtful cases.

5. State the chief reasons assigned for the views which have been maintained as to the nature and relations of Ammonium, Ammonia, and Amidogen.

6. Give the definition of a mineral species, and state fully the nature of the laws producing exceptions to the definition in certain cases.

7. Define the systems of crystallisation in which minerals are found, according to the methods of Miller, and of Weiss or Naumann.

8. Give some examples of Pseudomorphic Minerals to illustrate their general nature and origin in particular cases.

9. What minerals form Moh's scale of hardness, and what methods and precautions are adopted in determining the hardness of a mineral?

10. Give some examples of Dimorphous minerals, enumerating their physical characters in each system.

STRUCTURAL AND PHYSIOLOGICAL BOTANY.

Professor McCoy.

1. Describe fully the structure, function, and peculiarities of the Cambium Layer of Plants.

2. Describe the Generation in any Cellular Order of Plants, and contrast it with that of the higher Vascular Orders.

3. Describe the peculiarities of wood and fructification of the Coniferous Plants.

4. Describe the mode of origin of the roots in each of the great classes of Plants.

5. Describe the parts and functions of the different whorls of a flower of the highest type of development.

COMPARATIVE ANATOMY AND ZOOLOGY.

Professor Mc Coy.

1. Explain clearly what is meant by organisation, and contrast the characters of organic and inorganic objects.

2. What are the chief characters by which Animals are distinguished from Plants, and in what cases do the ordinary distinctions fail?

3. What groups of the Animal Kingdom are comprehended in the Acrita, and what nervous condition is understood by that term?

4. In what characters do the Gregarina, Amorphozoa, Rhizopoda, and Infusoria agree and differ?

5. Compare and contrast the characters of so-called Tapeworms and Flukes.

6. Define the Orders of the Zoophyta.

7. Contrast the characters of the Mollusca and the Vertebrata.

8. What are the essential peculiarities of the Class Pisces? Enumerate the Orders into which it is divided according to Müller of Berlin.

9. Describe the foetal membranes made use of in the grouping of the Classes of the Vertebrata so as to break up the old grouping into Warm-blooded and Cold-blooded Animals.

10. Describe the successive stages of development of the ovum of a Vertebrate Animal before and after impregnation.

GEOLOGY AND PALEONTOLOGY.

Professor McCoy.

1. What are the chief distinguishing peculiarities of Igneous and Aqueous Rocks, and how are

D

subaerial stratified rocks distinguished from ordinary aquatic ones?

2. Explain the characters of the chief varieties of flexures and fractures found naturally in Rock

masses, and the nature of the causes producing each.

3. Explain the causes and general character of Volcanic and Earthquake disturbances, and the formation of Craters according to the most important theories.

4. Give the mineral composition and general lithological character and mode of occurrence of (a) Granite, (b) Syenite, (c) Gneiss, (d) Diorite, (e) Trachyte, (f) Basalt, and (g) Serpentine.

5. Describe the method of making a geological section from a Geological Map, detailing all the notation and technical assumptions generally used, and the corrections for obliquity to line of strike.

6. By what fossils would you discriminate sandstones of Tertiary, Cretaceous, Wealden, and Oolitic ages, respectively?

7. What are the geological ranges of Terebratula, Dinosauria, Dinotherium, Zeuglodon, Nautilus, and Belemnites, respectively?

8. Explain the reasons for suggesting the adoption of an Oligocene Tertiary period; give its limits, and the bearing of the details of the Hempstead sections in the Isle of Wight on the question.