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7. Contrast the characters of Akbar and Aurangzib. 8. Test the comparative value of the evidence for the historical existence of Romulus, Sakya Muni, and Julius Cæsar.
9. Trace the steps of the struggle between the plebs and the populus of Rome.
10. Enumerate the Grecian states at the commencement of the Peloponnesian War. What was the relative importance of each, and what side did each take in the struggle ?
HYDROSTATICS AND OPTICS.
Examiner.-J. SUTCLIFFE, M. A. 1. The pressure upon any particle of fluid of uniform density is proportional to its depth below the surface of the fluid.
In two uniform fluids the pressures are the same at the depths of three and four inches respectively; compare the pressures at the depths of seven and eight inches respectively.
If a body floats on a fluid it displaces as much of the fluid as is equal to the weight of the body, and it presses downwards and is pressed upwards with a force equal to the weight of the fluid displaced.
3. If a cubic foot of water weigh 1,000 ounces, and a cube whose edge is 18 inches weigh 2,250 ounces, how far will a cylinder whose length is three inches, and formed of the same material as the cube, sink in water?
4. Describe the common hydrometer, and show how to compare the specific gravities of two fluids by means of it.
5. Explain the action of the common syphon.
If the ends of the syphon were immersed in two fluids of the same kind, and the air were removed, describe what would take place.
6. State the law of reflexion, and explain the formation of an image by a plane mirror.
7. Find the difference between the distance of an object when seen by the naked eye, and its apparent distance when seen perpendicularly through a glass window.
8. A very small pencil of sun-light is allowed to fall on a prism, and after transmission is received on a screen, describe the phenomena, stating the order of the colours.
9. State the principles which would guide you in the selection of spectacle glasses intended to remedy long sight and short sight.
10. Describe the astronomical telescope, and find its magnifying power.
CONIC SECTIONS, DYNAMICS, AND
Examiner.-Rev. K. S. MACDONALD, M. A. 1. Define a parabola, hyperbola, and ellipse as sections of a cone.
In the case of the ellipse prove that your definition is mathematically true.
2. In the hyperbola.—The rectangle under the abscissa of the axis major is to the square of the semiordinate, as the square of the axis major to the square of the axis minor.
3. In the ellipse.—The rectangle under the lines intercepted between the centre and the intersections of the Axis with the ordinate and tangent respectively, is equal to the square of the semi-axis major; and the tangents of the ellipse and circle at P. and Q. respectively cut the major axis produced in the same point.
4. If a straight line M N cut the hyperbola in K and L, the segments of it M K, L N, between the hyperbola and the asymptotes will be equal. Given the asymptotes and a point in the hyperbola to describe the curve.
5. Distinguish between "moving force," "accelerating force” and “velocity” of a body.
6. To find the relations of the space, time, and force when a body moves from rest under the action of a uniform accelerating force.
A body is thrown up with a certain velocity, and reaches the ground again in 15", find the velocity with which it will strike the ground, the highest height attained, and the time and height at which the velocity will be 192 feet.
7. State the third law of motion, and describe Atwood's machine, showing how by means of it the law is experimentally proved true.
8. Explain the construction and use of the transit instrument. State all that is necessary to a perfect adjustment.
9. Write down Kepler's laws respecting the motions of the planets. Remark on their absolute correctness and illustrate by an account of the discovery of the planet Neptune.
10. State the circumstances concurring at an eclipse of the sun and the mode of finding out the place on the earth where first seen. Distinguish between total, annular, and partial as applied to an eclipse of the sun. Illustrate by figures.
· 1. What conception of Mental Phenomena is alone consistent with the leading conception of Mind as a simple indivisible essence ?
2. How does it happen that Mental States are susceptible of analysis, though the Mind itself is not? What contrast in this respect exists between physical bodies and mental phenomena?
3. What is meant by the Faculties of the Mind, if they are neither distinct from the Mind, nor parts of it as the members are parts of the body ?
4. Explain the general character and extent of the knowledge of external objects which we derive from Sensation, and give the opinion of Dr. Reid on this subject in so far as it differs from that held by Dr. Payne.
5. Point out the general Law of Suggestion. Compare the different analyses given by Hume and Brown
of the Principles by which thoughts suggest one another.
6. Account for the effect of Attention in rendering us insensible to other objects than those upon which our Attention is fixed.
7. Account for the results of Habit by the operation of the Principle of Suggestion.
8. Explain and illustrate Dr. Brown's theory of the Reasoning Process.
9. Estimate the moral character of Anger.
MORAL PHILOSOPHY AND LOGIC.
Examiner.-Rev. J. OGILVIE, M. A.
1. What are the two leading Facts which constitute the basis of Moral Philosophy considered as a Science ?
2. What conditions are requisite in order to render any being a Moral Agent?
3. Classify under suitable heads the Active-Principles [impulsive and restraining Faculties] of man's nature :-From a brief examination of the tendency of each of these classes of Principles, show under what relation of each to the other the true happiness of man may be most effectually secured.- What conclusion would you thence deduce respecting one at least of the purposes
for which man was created ? 4. What is the question that has given rise to a diversity of Moral Systems ?-On what principle might these Systems be arranged under two general heads ?