in the protection of the law, defeated every hope of punishment, or even personal disgrace. This practice of direct bribery continued beyond doubt long afterwards, and is generally supposed to have ceased about the termination of the American War. There is hardly any doctrine with respect to our government, more in fashion, than that a considerable influence of the Crown, meaning of course a corrupt influence, in both Houses of Parliament, and especially in the Commons, has been rendered indispensable by the vast increase of their own power over the public administration. But the maxim that private vices are public benefits, is as sophistical as it is disgusting, and it is self-evident, both, that the expectation of a clandestine recompense, or what in effect is the same thing, a lucrative office, cannot be the motive of an upright man in his vote, and that if an entire parliament should be composed of such venal spirits there would be an end of all control upon the Crown. There is no real cause to apprehend that a virtuous and enlightened Government would find difficulty in resting upon the reputation justly due to it, especially when we throw into the scale that species of influence which must ever subsist, the sentiment of respect and loyalty to a Sovereign, of aversion to untried change, which has in fact more extensive operation than any sordid motives. HOUSEHOLD BRIGADE. June 1871. 9. Divide 172.8 by 144. 10. Reduce 9s. 10d. to the decimal of 15 guineas. 11. Reduce 2 miles 3 furlongs 10 poles 2 feet to feet. 12. A creditor receives 2601. 13s. 3d. from the estate of a bankrupt annum. cent. per 14. At what rate per cent. simple interest will 2007. amount to 3731. 10s. in 7 years? 15. Find the square root of (1) 572104096, (2) 351. 16. Find the side of a square field containing 2 acres 121 square yards. 17. If a postage stamp be an inch long and 4ths of an inch broad, how many stamps will be required for papering a room 18 ft. 9 in. long, 16 ft. 10 in. broad, and 10 ft. 6 in. high? 18. Reduce to its lowest terms the product of— HOUSEHOLD June 1871. EUCLID (BOOK I.). Tuesday, 6th June. 4 P.M. to 5 P.M. 1. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 2. Draw a straight line through a given point parallel to a given straight line. AB, AC, are two straight lines cutting each other in A, and D is a given point; draw from D a straight line cutting off equal parts from AB and AC. 3. If one side of a triangle is produced the exterior angle is equal to the two interior and opposite angles. If one angle of a triangle be equal to the sum of the other two, then the greatest side is double of the distance of its middle point from the opposite angle. 4. If the square described upon one side of a triangle be equal to the squares described on the other two sides of the triangle the angle contained by these two sides is a right angle. MATHEMATICS. Wednesday, 7th June. 10 A.M. to 2 P.M. 1. In a circle the angle in a semicircle is a right angle; but the angle in a segment greater than a semicircle is less than a right angle. 2. Inscribe a circle in a given triangle. 3. ABCD is a quadrilateral inscribed in a circle; AD and BC are produced to meet in E; and through E a straight line is drawn parallel to AB. Show that this straight line touches the circle described round the triangle DCE. 4. Give Euclid's definitions of proportion, duplicate ratio, and similar figures. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 5. Multiply 22+ xy + y2 by x2 + y3, and divide the product by a1+a2x2+x4. 6. Solve the equations 7. Extract the square roots of 4—✔/15 and of x6-12x5—60x1· 160x3 +240x2—192x+64. 10. At a review it was observed that the total number of men if increased by 497 would have formed sixteen brigades, each equal in strength to the first brigade, and that if the first brigade had been stronger by 1,000 men, the total number would have exceeded nine such brigades by 233. Find the total number of men, and also the number of men in the first brigade. 11. Show how to find the sum of a series in arithmetic progression when the first and last terms and the number of terms are known. The arithmetical mean of two numbers is 1, and the harmonical mean is - 7; find the numbers. 13. Find 5 terms and the general term of the binomial expansion of HOUSEHOLD must be chosen for the radicals when A=260°. 17. A man observes two objects in the same plane with his eye to be 30° apart, and on walking 50 yards in a straight line towards one of them the angle increases to 75°: find his distance from the other. Show whether the data are sufficient to find the distance between the objects. 18. Define a logarithm, and having given log 2=30103 log 3 47712 find log 36, log 06, and log 075. 19. Investigate expressions for the area of a triangle (1) when two sides. and the included angle are given, (2) when one side and the adjacent angles are given. If a=2, B=75°, and C=30°, find the area. ENGLISH GRAMMAR. Wednesday, 7th June. 3 P.M. to 5 P.M. 1. Give three sentences in which the subjunctive mood is employed, and state the rules which regulate its use. 2. To what parts of speech do words belong that have the following endings: -ful, ize, en, ible, ness, ty, ous, ar, ory, tion, fy, ling, less, isk? Give instances. HOUSEHOLD June 1871. 3. Parse fully the words printed in italics in the following passage: While these do labour for their own preferment, I never saw but Humphrey Duke of Gloucester Oft have I seen the haughty cardinal, More like a soldier than a man o' the church, Have made thee feared and honoured of the people. Join we together for the public good. 4. Are the following expressions right, or how should they be corrected? a. The House of Commons have met, b. The King, with the Lords and Commons, form the legis lature. c. Did he not own his fault, and begged to be forgiven? d. Our mutual friend. 5. Distinguish the meanings of humorous and witty, rapacious and avaricious, modern and novel. Account for the meanings of joviality, humour, sardonic. 6. How has the English language been enriched from foreign sources? What class of words did it principally borrow from each foreign language respectively? 7. Analyse into Subject and Predicate, &c. the following sentences : a. What seemed his head The likeness of a kingly crown had on. b. Ill fares the land, to hastening woes a prey, Where wealth accumulates and men decay. N.B.-In all your exercises attention should be paid to orthography, handwriting, punctuation, grammar, and correctness of expression. FRENCH. Thursday, 8th June. 10 A.M. to 1 P.M. (For the paper and Dictation.) Translate into English: Souvent, dans les grandes chaleurs du jour, nous cherchions un abri sous les mousses des cèdres. Presque tous les arbres de la Floride, en particulier le cèdre et le chêne-vert, sont couverts d'une mousse blanche qui descend de leurs rameaux jusqu'à terre. Quand la nuit, au clair de la lune, vous apercevez, sur la nudité d'une savane, une yeuse isolée revêtue de cette draperie, vous croiriez voir un fantôme trainant après lui ses longs voiles. La scène n'est pas moins pittoresque au grand jour; car une foule de papillons, de mouches brillantes, de colibris, de perruches vertes, de geais d'azur, vient s'accrocher à ces mousses, qui produisent alors l'effet d'une tapisserie en laine blanche, où l'ouvrier HOUSEHOLD européen aurait brodé des insectes et des oiseaux éclatants. CHATEAUBRIAND. BRIGADE. June 1871. Le peuple japonais a un caractère si atroce, que ses législateurs et ses magistrats n'ont pu avoir aucune confiance en lui: ils ne lui ont mis devant les yeux que des juges, des menaces et des châtiments; ils l'ont soumis, pour chaque démarche, à l'inquisition de la police. Ces lois qui, sur cinq chefs de famille, en établissent un comme magistrat sur les quatre autres; ces lois qui, pour un crime, punissent toute une famille ou tout un quartier ; ces lois qui ne trouvent point d'innocents là où il peut y avoir un coupable, sont faites pour que tous les hommes se méfient les uns des autres, pour que chacun recherche la conduite de chacun, et qu'il en soit l'inspecteur, le témoin et le juge. Le commerce, tantôt détruit par les conquérants, tantôt gêné par les monarques, parcourt la terre, se repose où on le laisse respirer: il règne aujourd'hui où l'on ne voyait que des déserts, des mers et des rochers; là où il régnait il n'y a que des déserts. L'histoire du commerce est celle de la communication des peuples. L'effet du commerce sont les richesses, le luxe, l'industrie, la perfection des arts, la politesse, le goût; son affaiblissement et l'orgueil des nations font naître la paresse, la pauvreté, l'abandon de tout, et causent la destruction des peuples. MONTESQUIEU. Translate into French : Man could not have lived amid the storms, and earthquakes, and eruptions of a world in the act of formation. Thunder and tempests would have roused him from his couch; torrents of lava would have chased him from his home; and pestilential vapours suffocated him in the open air. The house of the child of civilization was not ready for his reception. The stones that were to build and roof it had not quitted their native beds. The coal that was to light and heat it was either green in the forest, or blackening in the storehouse of the deep. The iron that was to defend him from external violence lay buried in the ground, and gold and silver had not come within his grasp. Grammatical Questions. 1. Give the feminines of-flatteur, admirateur, auteur, traître, malin, sauvage, favori. 2. Give the singular of-émaux, cieux, libéraux, bals, bijoux, neveux, éventails. 3. Give the principle parts of-distraire, mouvoir, mourir, asseoir, aller. 4. Correct the following sentences stating the rules. Les chaleurs |