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(For Papers set at the Day Examinations, see pp. 238-319.)

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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. H.P. and V.P. represent the horizontal and vertical planes of projection respectively.

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.

The value attached to each question is shown in brackets after the question.

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.

u 8274. 2500.-8/99. Wt. 8043.

305886

A 2

Elementary Stage.

INSTRUCTIONS.

Read the General Instructions on page 1.

Only eight questions are to be answered.

Plane Geometry.

1. Draw a scale of 25" to 1 mile, reading up to 500 yards. No unit smaller than 10 yards need be shown. Draw a line representing 370 yards.

(10.)

2. Draw a circle of 2" radius, and inscribe in it five equal circles, each touching two of the others, and also the circumference of the containing circle.

(10.) 3. Draw a line AC, 33" long. Through a point (0) in it, 14" from A, draw a line perpendicular to AC. On this line let two points B and D, lie on opposite sides of the line AC. Draw the quadrilateral ABCD of which AC and BD are the diagonals, the angles ABC and ADC being 65° and 115°, respectively. (12.)

Solid Geometry.

4. Draw the projections of a line AB from the following conditions:

A is distant 2" from the vertical plane of projection and

21" above the horizontal plane.

B is 3" from the VP and "above the HP.

The line AB is inclined at 20° to the vertical plane.

(10.)

*5. OV is the vertical trace of a plane, and pp' are the projections of a point lying in it. Draw the horizontal trace.

(10.)

*6. st is the plan of a line ST, inclined at 30° to the horizontal plane; t is its horizontal trace. Find the projections of the point at which the line ST intersects the plan VOH.

(12.)

7. Through a point which is 2" from each plane of projection draw a line inclined at 55° to the horizontal plane, and at 25° to the vertical plane.

(12.)

1

B

F

G

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