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1. Explain how pressures may be represented, both in magnitude and direction, by lines. Draw two lines to represent in this way

two pressures acting on a point in directions at right angles to each other, one pressure being equal to a weight of 4 lbs., the other to a weight of 6 lbs.

Draw a line to represent, both in magnitude and direction, the resultant of these two pressures.

Draw also a line to represent the pressure which, if applied with these two pressures to a point at rest and

free to move, would keep it at rest. 2. Define a lever ; and state the condition of equilibrium of pressures acting on a lever.

A tapering log of timber, 50 feet long, is balanced on a roller 12 feet from the larger end. A weight of 150 lbs.

taller, is now placed on the smaller end, one of 380 lbs. on the larger

. Which end will preponderate ? Calculate the long iriw weight to be taken off the preponderating end, and also that to be added at the other end, in order to restore the 245 balance.

3. Explain the mechanical advantage of the inclined plane.

A weight of 30 lbs. is just sustained on a smooth inclined plane, the height of which is 14 feet and the length 45 100 feet, by a pressure acting parallel to the plane. Find the amount of the letter.

In ascending a steep hill by a winding road cut round h. ataretlen it, show that it is mechanically advantageous to keep as

& Ph near as possible to the outside of the road.

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4. Define the term Centre of Gravity. State the conditions under which a body set down and left to itself will turn over or not.

The execution of the “perche” feat (one acrobat carrying vertically a pole on the top of which another performs) is facilitated by using a long pole. Explain the reason of this.

5. Explain what is meant by the Composition of Motion.

A man swims at the rate of 12 feet in 5 seconds, continually directing his course right across a stream flowing at the rate of 16 feet in 5 seconds. How far is he from the point of departure 10 seconds after he starts ?

6. A stone is dropped into a shaft 144 feet deep. How many seconds will elapse before it strikes the bottom ? (The motion is supposed to be uniformly accelerated, and the velocity at the end of the 1st second to be 32 feet per seco

econd.) 7. What is meant by the momentum of a moving weight? Calculate the velocity of a bullet weighing 1 ounce, and having the same momentum as a cannon ball weighing 16 lbs. and moving at the rate of 4 feet per second.

What would be the difference in the effect produced by these two bodies thus moving horizontally, if each struck perpendicularly a thin board set upright, but not firmly fixed ? To what property of matter is this difference attributed ?

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I. Translate into English :1. Seche Söhne hinterließ Marimilian, aber nur der älteste von diesen, der Erzherzog Rudolf

, erbte seine Staaten und bestieg den kaiserlichen Thron; die übrigen Brüder wurden mit schwachen Apanagen abgefunden.

2. Wenige Nebenländer gehörten einer Seitenlinie, welche Rarl von Steiermark, ihr Dheim, fortführte; doch wurden auch diese fchon unter Ferdinand II., seinem Sobne, mit der übrigen Erbschaft vereinigt.

3. Rudolf II. war nicht ohne Tugenden, die ihm die Liebe der Menschen hätten erwerben müssen, wenn ihm das Loos eines Privatmannes gefallen wäre.

4. Sein Charakter war mild, er liebte den Frieden, und den Wissenschaften—besonders der Astronomie, Naturlehre, Chemie und dem Studium der Antiquitäten—ergab er sich mit einem leidenschaftlichen Hange.

Schiller: ,,Geschichte des dreißigjährigen Krieges."

II. Grammatical Questions on the above passages.

[N.B.—The questions may be answered in German.] 1. Decline, in the singular and plural number, the nouns Sohn, Staat (par. 1), Mensch, Loos (par. 3), and Wissenschaft (par. 4), with their corresponding definite article.

2. State the infinitive and past participle of the verbs hinterließ and bestieg, and the infinitive and imperfect of abgefunden (occurring in par. 1), and conjugate them in the present indicative.

3. State all the rules with reference to the formation of the comparative and superlative of adjectives; and give examples.

4. Decline the pronouns er (par. 4), ste, es, in the singular and plural number.

5. Why is the auxiliary verb wäre (par. 3) placed at the end of the sentence ?

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ENGLAND.

PRELIMINARY GENERAL EXAMINATION.- Midsummer, 1867.

TUESDAY, June 18th.-Morning, 103 to 12.

ENGLISH GRAMMAR AND COMPOSITION.

1. Analyse (without parsing) the following passage :

“ Soon is the Court convened : amid the throng

The monarch stands; and anxious for the event

His heart beats high.” 2. Give three ways of forming the comparative and superlative of adjectives. Explain the word rather.

3. Define Case. Explain, in such phrases as "the bird's song," the real origin of the s in “bird's.” Addison says this s represents his : show that this is wrong.

4. The infinitive mood is like and unlike a verbal noun: show that this is so.

5. Define a Conjunction. How does it differ from a Preposition and Adverb ?

6. Give ten simple Pronominal Adverbs.
7. Define Apposition, Pleonasm, Ellipse; giving examples.
8. How does a Participle differ from an Adjective ?

9. “Veracity, as well as justice, are to be our rule.” Is this right or wrong; and why?

10. Write a short essay on one of these subjects: “Coal;" “A description of any large town in England;" “ The Electric Telegraph.”

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