2. (c) v. 1. The place of Christ's birth; the time of his birth; the coming of the wise men to Jerusalem. 2. The inquiry made by the wise men; the means by which they knew that this king was born; the purpose of their coming. 3. The manner in which Herod and all Jerusalem were affected by the inquiry. 4. Herod's assembling of the priests and scribes ; the question he asked them. 5. The place which they assigned; their authority for doing 80. 6. The words predicting the birth-place of Christ. 7. The manner in which Herod called the wise men; his eager inquiry. 8. Herod's charge to the wise men: the reason he assigned for requesting their speedy return to him. 9. The departure of the wise men from Jerusalem; the reappearance of the star; the direction it afforded. 10. The joy of the wise men at the star's reappearance. 11. The wise men's arrival at the lodging of Mary; their adoration of the child Jesus; the gifts they presented to him. 12. The Divine prevention of the wise mens' return to Herod; their return home by another way. 3. Who was Herod the Great? (King of the Jews, son of Antipater, an Idumæan.) Under whose authority did he hold the government of Judæa? (Roman emperor.) How long had he ruled? (37 years.) What other persons of the name of Herod are mentioned in Scripture? (The son and the grandson of Herod the Great; the former, Herod Antipas, who wickedly married Herodias; the latter, Herod Agrippa, who killed James, the brother of John.) What prediction of Jacob was fulfilled by the subjection of the Jews to Roman power? (Gen. xlix. 10.) What name was commonly given to such wise men as are here mentioned? (Magi.) In what countries of the east were these ministers of religion chiefly encouraged and reverenced? (Persia and Chaldæa.) To what branch of physical science did they devote particular attention? (Astronomy.) By what kind of revelation therefore did God encourage them to visit Jesus? What induced the Magi to choose Jerusalem as a place of inquiry? (Capital of Judæa.) What was remarkable in the circumstance of Chaldæans being appointed to announce in Jerusalem the nativity of Christ? (They were Gentiles.) What prophecy of Balaam was probably associated by the wise men with the star's appearance? (Numb. xxiv. 17.) Why was Herod disturbed by the public inquiry of the Magi? (He feared that the new king might dethrone him.) Why was it to the priests and scribes that Herod put the inquiry about the birth-place of Jesus? (Because they were expected to be best acquainted with the prophecies.) What did Micah signify by the littleness of Bethlehem ? What other circumstance connected with the nativity did Herod anxiously desire to know? Of whom did he inquire concerning this? Of what was he made aware by learning the precise time? (The age of the child Jesus.) What was his real design, when he professed a desire to come and worship Jesus? What rendered it unnecessary for the Magi to search diligently as Herod directed? Why should they have rejoiced so greatly at the star's reappearance? · (Evidence of Heaven's favour.) In what sense did they mean to show respect by their gifts? (To honour Jesus as a king) By what means were they prevented from returning to Herod ? Why was this warning given? What is to us the most important historical feature in God's direction of the wise men to Jesus? (The calling of the Gentiles.) What does St. Paul say of the Scripture foreseeing that God would extend his salvation to the Gentiles or heathen? (Gal. iii. 8.) Quote predictions from Isaiah's prophecies foretelling Christ as a light to the Gentiles? (xlix. 6; lx. 3.) What similar language did the aged Simeon utter? Quote Malachi's prediction of the universal diffusion of the true religion? (i. 11.) How does St. Paul speak of the revelation of God's mercy to the Gentiles as a mystery to the Jews? (Eph. iii. 3, 5, 6.) By what special religious observance do we Gentiles magnify God for his mercy in calling us to the faith of the gospel? (Feast of the Epiphany,) &c., &c. EXAMINATION PAPERS. WINCHESTER DIOCESAN TRAINING SCHOOL. DECEMBER, 1848. POPULAR ASTRONOMY AND NATURAL PHILOSOPHY.* 1. THE planet Venus is at present an evening star; where does she appear in the heavens, and what is her greatest distance from the sun?-explain the cause of her being alternately a morning and evening star, and what is meant by her being sometimes progressive and sometimes retrograde among the fixed stars. 2. What are the most remarkable constellations visible about eight or nine o'clock on a clear evening in November and December, beginning at the western horizon, and noting some particular star in each-mention some that are circumpolar. 3. What is meant by the transit of a planet over the sun's disc? How is it that the transit of Mercury on the 9th of November last could not be seen to its termination by an observer in Paris, but could by one in Ireland ? 4. How does the sailor ascertain the latitude of his ship by observing the sun's meridian altitude: and having the time when the sun is on the meridian, how does he find the longitude? 5. Explain why the difference in time, between successive risings of what is called the harvest moon, is less than at any other time of the year. 6. A stick 5 ft. in. high is placed vertically at the equator, what is the figure traced out by its shadow during the twelve hours the sun is above the horizon? What is the length of that shadow and of a line joining the top of the stick, and the extremity of the shadow, when the sun's altitude is 45° and 60°; work them out to four places of decimals. 7. Explain how the barometer may be used to ascertain the height of mountains, and why this method is more to be relied on in tropical climates than in high latitudes. 8. What are the substances composing the bulk of the atmosphere? and of a 100 parts, about what number is the proportion of each? 9. What is meant by the proximate and ultimate elements of a body, and what are the two elements of which water is composed, and the proportions in weight and volume of each? explain also how it has been analyzed, and how its elements have been put together again to form water? 10. The spec. grav. of ice is to that of water as 8 to 9, and a field of ice of uniform thickness has 6 ft. above water, how much is there below it? 11. A cubic foot of metal weights 1000 lbs. when weighed in air, the weight of a cubic inch of air being 1-300th part of a cubic inch of water at a temperature about 63°, what would be the weight of the body in vacuo: also if weighed in water, and if in air of half the density, and work out the arithmetical results. 12. Do you see any connexion between the weight of a given mass of matter and the altitude of the barometer? and how might a dealer in any bulky commodity profit by observing that connexion? ARITHMETIC.t 1. The battering ram employed by Titus against the walls of Jerusalem weighed 100,000 lbs.: how many tons did it contain? * These valuable questions were proposed by the Rev. R. Dawes, Vicar of King's Somborne. † Proposed by J. D. Walford, Esq., M.A., Mathematical Master of Winchester College. 2. How much is spent in seventeen years by a person who spends 8257. 18s. 9d. yearly? and how much would he have saved in that time out of an income of 1500l.? 3. Divide 1157. 10s. among 5 men and 6 women, giving each man thrice the share of a woman. 4. If 12 men build 24 roods of wall in 30 days by working 8 hours a day, how many hours a day must 18 men work to build 72 roods in 40 days? 5. How would you explain to a class of boys that is equal to ? 6. A father divided his property between his three sons thus: to the eldest he gave of the whole; to the youngest, ; and to the second, 30007. What was the value of the property left? 7. There is a fraction which, when multiplied by the cube of 11⁄2, and divided by the square root of 13, produces : find it. 8. In latitude 51° the length of a degree of longitude is about 37.76 geographical miles: how many of these miles is Winchester distant from Dresden, which are both nearly in that latitude,-the longitude of the former being 1° 21′ west, and that of the latter 13° 42′ east? 9. Divide 25 by '008; and 008 by 25;-explaining the rule for placing the decimal point in the quotient? 10. If the cost-price of a book be 3s. 9d., how must it be marked so that the bookseller may allow a discount of 10 per cent. on the nominal price, and yet reserve a profit of 20 per cent.? 11. The standard silver coin of this realm is made up of 37 parts of pure silver and 3 of copper, and a lb. Troy of this metal yields 66 shillings: what weight of pure silver is there in 20s.? 12. Ten persons set out for the same place each one hour after the other; they all reach it together 6 hours after the 7th started: compare the rates of the 3rd and 4th; and if the whole distance was 25 miles, find the interval between the first and last, half-an-hour after the latter started. GEOGRAPHY OF EUROPE.* 1. Draw a figure representing the parallels of latitude and the Meridians orthographically projected on the plane of the Equator. 2. Give an outline of the coast line of Europe, from the North East point to the Dardanelles, marking down the different countries on the coast, the river mouths, and the following places: Archangel, Copenhagen, St. Petersburgh, Hamburgh, Brest, Cadiz, Naples, Genoa, Trieste, Toulon, Athens. 3. What are the languages spoken by the principal nations of Europe? which of them prevail over the largest extent of country? and to which has the English the greatest affinity? 4. What is the meaning, in a commercial sense, of the exports and imports of a country,-of raw products and manufactured products? and of these, what are the particular things exported from England to other parts of Europe? 5. Mention the particular products, natural and manufactured, of France and Spain, Sweden and Russia. 6. What are the advantages to Europe of an extensive and indented coast line? 7. To what causes is it owing that particular manufactures are located in certain districts: as cotton in Lancashire,-woollen at Leeds,-and cutlery at Sheffield? *These questions were proposed by the Rev. R. Dawes, Vicar of King's Somborne. 8. What are the advantages to a country in being able to manufacture its raw products, whether of a mineral or vegetable kind, over one which is obliged to export them in a raw state for the purpose of being worked up? 9. Put down as near as you can the population of the six largest towns in England, and their industrial occupations. 10. Explain the terms,-steppes and table-land: and mention the most elevated table-lands in Europe. 11. Why does the temperature of the air decrease, as the height above the earth's surface increases? State some facts in proof of your reasoning. 12. What is the height of the snow-line in our latitude, at the Equator, and at the Tropics? 13. Give the height in feet of the highest points of the Pyrennees-the Alps-and of the highest mountains in Great Britain. 14. What is the effect which elevation above the level of the sea has upon climate? Illustrate your explanation by instances of the vegetation of mountainous districts in low latitudes, and of low levels in high latitudes. GEOMETRY AND MECHANICS.* 1. If two triangles have two sides of the one equal to two sides of the other, and have likewise their bases equal, the angle contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 2. The opposite sides and angles of parallelograms are equal to one another, and the diameter bisects them. 3. Define a Rhombus: and prove that the diameters of a rhombus bisect each other at right angles. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Mention the corollary to this theorem. 5. 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; and the angle in a segment less than a semicircle is greater than a right angle. 6. If a circle be inscribed in a right-angled triangle, prove that its diameter is equal to the difference between the hypothenuse and the two sides containing the right angle. 7. Inscribe a square in a given circle, and show that it is half the square described about the same circle. 8. Similar triangles are to one another in the duplicate ratio of their homologous sides. 9. The "Horse-Monument" on Farley Mount is a pyramid of brick-work 20 feet high, built upon a mound 30 feet high; supposing the materials to weigh 8 tons, how many units of work were expended in raising them from the foot of the mound to their present position? 10. Three horses, exerting a traction of 160lb. each, can draw 6 tons of coals from the pit's mouth along a tram-way having a rise of 33 in 100 what is the measure of the friction on the rail? 11. Why is the high-pressure principle best adapted to locomotive steamengines? and to what useful purpose is the steam discharged from their cylinders commonly applied? 12. An arrow shot perpendicularly upward from a bow returned again in * Proposed by J. D. Walford, Esq., M.A., Mathematical Master of Winchester College. ten seconds required the velocity of projection, and the height, to which it rose. MENSURATION AND TRIGONOMETRY.* 1. If 3630 turfs a yard long can be cut from a quarter of an acre, what is their average width? and what will be the expense of laying down a lawn, 30ft. by 18ft., with them, at 7s. 6d. per hundred ? 2. The length of a hollow iron roller is 36 inches, the outside diameter 20 inches, and the thickness of the metal half-an-inch: what are its solidity and convex surface, and how many revolutions would it make in rolling the above-mentioned lawn. 3. Two persons purchased a conical loaf of sugar 18 inches high, with a base 6 inches in diameter: how can they divide it equally by a section parallel to the base? 4. The diameter of a globular balloon is 30 feet: how much silk was required to make it, and how much gas to fill it? 5. Give the definition of a secant, and trace the changes of its sign and magnitude through the four quadrants. (8) sin. (A + B) sin. (A−B) = (sin. A + sin. B) (sin. A—sin. B). 7. Find the sine and tangent of 15°. 8. From the top of a hill two milestones were observed in the same direction, on level ground; the depression of the nearest was 14° 3′, and that of the other 3° 56′, below the horizontal line: required the height of the hill. 9. Show that the logarithm of the quotient of two numbers is the difference of their logarithms; and find a when 8* : x= 100. 10. Explain the construction of Tables of Proportional Parts. ANSWERS TO THE MATHEMATICAL QUESTIONS. Two slow trains, A and B, were at the distance of 20 and 30 miles re- Answered by Mr. Jeffery, Dunchurch. * Proposed by J. D. Walford, Esq., M.A., of Winchester College. |