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THE HONGKONG GOVERNMENT GAZETTE, 22ND JANUARY, 1887.
3. Parallelograms upon the same base and between the same parallels are equal to one another.
What is the great practical use of this Theorem?
4. If the square described upon one of the sides of a triangle be equal to the squares described upon
the other two sides of it, the angle contained by these sides is a right angle.
5. (a.) Divide a triangle into three equal parts by lines drawn from a point in one of the sides.
5. (6.) All the interior angles of any rectilineal figure together with four right angles, are equal to
twice as many right angles as the figure has sides.
6. (a.) If a straight line be divided into two equal parts and also into two unequal parts; the rec- tangle contained by the unequal parts together with the square on the line between the points of section, is equal to the square on half the line.
6. (b.) The opposite sides and angles of a parallelogram are equal to one another, and the diameter
bisects it
7. (a.) If a straight line be bisected and produced to any point the square on the whole line thus pro- duced, and the square on the part of it produced, are together, double ot the square on half of the line bisected, and of the square on the part made up of the half and the part produced.
CLASS I-GEOGRAPHY.
Thursday 2-4.30.
1. Write the names of the 6 Northern English counties and 6 Northern Welsh counties.
2. Where are the following places situated, and what interest is attached to them.
Balmoral, Canterbury, Cashel, Eton, Glencoe, Greenwich, Holyrood, Maynooth, Stone-
henge, Windsor.
3. Name in each case, four great sights that should be seen by any visitor to London, Edinburgh,
Dublin.
4. Describe carefully the courses of the Gt. Ouse, Forth and Shannon.
5. Where are passengers bound, who go to Gt. Grimsby, Harwich, Holyhead, Folkstone, Queenstown.
6. Which are the chief towns in the British Isles engaged in wool, cotton or linen manufacture,
classify them.
7. Describe carefully the Northern Mountain System of England.
8. What circumstances are necessary to produce
1. An Eclipse of the Sun.
2. Neap Tides.
9. Explain avalanche, bore, declination, zodiac.
CLASS I-MENSURATION.
Friday 9-12.
1. ABCD is a rectangle, AB 39 ft. BD=24 ft. The side DC is produced to E a distance of 6
ft. If BE is joined, cutting AC in F, find the length of FE.
2. The area of a triangular plot is 7266 sq. ft. the sides are in the ratio 5: 6: 7, find their length.
3. Find the diameter of a regular hexagon whose area is 64.95 sq. ft.
4. Find to the nearest inch the diameter of a sphere whose volume is 5 times that of another sphere,
whose diameter is 5 ft.
5. Find to the nearest cubic inch, the volume of a pyramid whose base is a square and all whose
edges are 7 ft.
6. A bullet is formed of a cylinder inch in diameter and inch long, tipped with a cone inch high; how many such bullets can be made out of a lead pipe & inch thick, and 7 inches long, the diameter of the bore being 24 inches.