DEPARTMENT OF SCIENCE AND ART OF THE COMMITTEE OF COUNCIL ON EDUCATION, LONDON, S.W. (Telegraphic Address: "SCIENCE AND ART, LONDON.") PRINTED FOR HER MAJESTY'S STATIONERY OFFICE, PRINTERS IN ORDINARY TO HER MAJESTY. And to be purchased, either directly or through any Bookseller, from EYRE AND SPOTTISWOODE, EAST HARDING STREET, FLEET STREET, E.C., or ADAM AND CHARLES BLACK, 6, NORTH BRIDGE, EDINBURGH; or HODGES, FIGGIS, & Co., 104, GRAFTON STREET, DUBLIN. Price Sixpence. FOR SCIENCE SCHOOLS AND CLASSES. MAY AND JUNE, 1889. SUBJECT I. PRACTICAL PLANE AND SOLID GEOMETRY. EXAMINERS, MAJOR G. S. CLARKE, C.M.G., R.E., and T. H. EAGLES, Esq., M.A. GENERAL INSTRUCTIONS. If the rules are not attended to, the paper will be cancelled. You may take the Elementary, or the Advanced, or the Honours paper, but you must confine yourself to one of them. All figures must be drawn on the single sheet of paper supplied, for no second sheet will be allowed. The constructions may be left in pencil, provided they are distinct and neat, and that the construction lines are shown. They must be strictly geometrical and not the result of calculation or trial. In the absence of those lines which are essential to a correct solution no marks will be awarded, however correct the result may appear. Lines parallel or perpendicular to others may be drawn mechanically without showing any construction. Lines may be bisected by trial. A single accent (') signifies feet; a double accent (") inches. Put the number of the question before your answer. You are to confine your answers strictly to the questions proposed. Questions marked (*) have accompanying diagrams. Your name is not given to the Examiners, and you are forbidden to write to them about your answers. The examination in this subject lasts for four hours. First Stage or Elementary Examination. INSTRUCTIONS. Read the General Instructions above. Only eight questions are to be attempted. Candidates for examination in Geometrical Drawing only may confine themselves to Section I. Candidates for examination in the Elementary Stage of Practical, Plane, and Solid Geometry, must not attempt more than two questions in Plane Geometry. SECTION I. Plane Geometry. *1. Convert the given scale into a diagonal scale reading inches. State the representative fraction of this scale. (8.) 2. Construct a scale of chords on a radius of 4.25" to read to 5o. By means of this scale, plot an angle of 75°. (8.) *3. Prick off the figure as given in Q. 7, and construct a similar figure, whose sides are to those of the given figure as 7: 3. (8.) *4. a b c is a given triangle. Construct an isosceles triangle of equal area standing on d e as base. (10.) *5. Describe a circle of 1.25" diameter touching each pair of adjacent lines oa, ob, oc, od, produced if necessary. Describe two circles touching the three circles. (10.) *6. The given_figure is made up of circular arcs all of " radius. Draw it full size. (10.) *7. Construct a six-sided polygon abcdef, such that ef= 8. Construct a rhombus, side 24", diagonal 44". In this rhombus inscribe an ellipse. Solid Geometry. (12.) 9. A pentagonal right prism, side of base 1.5", height 1", rests on a horizontal plane. On it is placed a right cone, whose base circle touches the sides of the top of the prism. The height of the cone is 2". Draw the plan and an elevation on a plane making 40° with one side of the base of the prism. (14.) |