5. A particle moves about a centre of attraction varying inversely as the square of the distance; determine the motion.

6. A particle moves under given forces on a given smooth surface; determine the motion and the pressure on the surface.

7. State D'Alembert's principle, and apply it to obtain the equations of motion of a system of rigid bodies.

8. Enunciate and prove the principle of Vis Viva.

9. Find the condition which must be satisfied by any system of forces capable of maintaining a fluid in equilibrium.

10. Form the differential equations of motion of a fluid.

CHEMISTRY AND MINERALOGY.

The Board of Examiners.

1. Contrast the attractions exerted on particles of matter by physical and by chemical powers, and explain clearly the law of combination in definite proportions.

2. Explain clearly the modern chemical view of the nature of an "Atom" and of a "Molecule," and give some examples of Monatomic Molecules.

3. What is the Molecular Volume of a gaseous element?

4. Explain what is meant by simple and compound Radicles, giving examples of each.

5. Give some examples of Allotropism, with details of characters.

6. How do you prove that Nitrogen is sometimes a Pentad, sometimes a Triad, and sometimes only a Monad?

7. Define a "Mineral Species," and explain the action of those laws which are recognised as interfering with the definition.

8. Define all the systems of Crystals used by mineralogists, and give the notation according to Whewell and Miller, and according to Weiss or Naumann, of all the faces of the fundamental forms of the monometric system.

9. Explain the formation of different kinds of Pseudomorphs, and give some minerals illustrative of your statements.

10. What are the numbers indicative of the precise degree of hardness of the following minerals on Moh's and on Breithaupt's scales respectively, viz.-Calc Spar, Apatite, Mica, Topaz, Talc, Fluor Spar, Corundum?

BOTANY.

The Board of Examiners.

1. Describe the internal tissues entering into the composition of the stem in Thallogens, and the chief variations of Cormogens.

2. Describe the structural details of an Anatropous and of an Orthotropous Ovule.

3. Describe the structural details of a Strawberry, with its Achena.

4. Describe all the parts of the Embryo in the higher orders of plants.

5. Define the sub-class Thalamiflora, describing all the structures named or referred to in the definition.

COMPARATIVE ANATOMY AND ZOOLOGY. The Board of Examiners.

1. Describe the general structures of the Protozoa separating them from the higher Radiata. What do you suppose to be the condition of the nervous system in the Acrita?

2. Describe the parts of the mouth in the higher Orders of Insecta and Crustacea.

3. Explain clearly what is meant by "organization, and contrast the characters of organic and of inorganic bodies.

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

5. Compare and contrast the characters of Tapeworms and of Flukes.

6. Describe the "Water-vascular system" of the Echinodermata.

7. What are the main distinguishing anatomical characteristics of the Vertebrata separating them from the other subkingdoms of Animals?

8. Enumerate the chief bones of the Vertebrate skeleton, omitting the subdivisions of the skull.

9. Enumerate all the Autogenous Elements and Exogenous Processes found in Vertebræ.

10. What are the bones of the capsules of the organs of the senses in the Vertebrata, and where is each group situated ? Describe some types of

each.

GEOLOGY AND PALEONTOLOGY.

The Board of Examiners.

1. Describe the modes of formation of Mineral Veins in rocks, and state the way of classifying them by relative age.

2. How are the Igneous Rocks known from other kinds, how are they commonly classified, and

what is the characteristic mineral constitution of the commoner kinds?

3. What has Mallet shown to be a commonly occurring depth for the focus of Earthquake disturbances, and how has this been ascertained?

4. How do you proceed to make a geological section from a good geological map? Describe the proper direction, usual assumptions, symbols used, methods of bringing moderately distant observations to the line of section, relative scales of parts, and the corrections for obliquity of certain of the dips to the line of section, and mode of plotting.

5. Give the characteristics of the chief divisions of the Eocene Tertiary formations.

6. Describe the Pleistocene Boulder Clay, the Eocene London Clay, and the Clays of the Lower Green-Sand and Weald, with the generic characters of the characteristic fossils of each.

7. What genera of fossils would enable you to determine strata containing them to belong to the Pliocene, Miocene, Eocene, and Cretaceous formations respectively?

8. What would be the probable age of strata containing (a) Dichobune, (b) Baculites, (c) Megaceros, (d) Ventriculites, (e) Zeuglodon, and (f) Belemnites respectively?