a curve of 20 chains radius. Find the through chainages of the first and second tangent points of the new curve, and their distances and bearings from the point I.

2. Write an Essay on mining surveying, dealing particularly with underground traversing and transferring azimuths from the surface to the underground workings.

3. From the data given in the diagram, compute the length and bearing of the line DB.

MENSURATION AND DRAWING.

The Board of Examiners.

1. Deduce the formulæ for the surface and volume of a sphere, and of its segment.

2. The volume of a pyramid whose base is an equilateral triangle, is 1,000 cubic yards, and the slope of the sides is 45°. Find the vertical height of the pyramid and the length of one side of the base.

3. Compute the volume of an embankment made across a valley, as per longitudinal section herewith, the top width being 20 feet, and side slopes 1 horizontal to 1 vertical. The ground has a transverse slope of 1 in 10 throughout, except at the ends where it is level.

66ft

10 ft.

66 ft

12 ft x

66ft

4. Describe fully the method to be adopted in plotting a plan of chain survey, and inking in and colouring the same.

ADVANCED SURVEYING.

FIRST PAPER.

The Board of Examiners.

1. The following levels are taken over the line of a proposed pipe track :—

240

760 End of pipe track.

Design a pipe line to discharge 5,000,000 gallons per day at the end of the pipe track against a working head of 100 feet.

Show

location of all necessary air and scour valves.

2. On the contour plan herewith locate a main line of road running from the point A to the point F, and a road for light traffic from F to K.

ADVANCED SURVEYING.

SECOND PAPER.

The Board of Examiners.

1. Describe fully a transit theodolite such as you would use for minor geodetic operations, and give full details as to the method to be adopted in measuring angles with it.

2. Write a short Essay on the selection of harbours.

3. Give what information you can about the selection of a reservoir site for a large city.

4. Discuss fully the different methods of determining latitude, and show how the reduction to the meridian is effected when the sun is observed a few minutes after apparent noon.

5. Show the difference between "actual grade" and "virtual grade" on a railway line.

DRAWING, DESCRIPTIVE GEOMETRY, AND QUANTITY SURVEYING.

The Board of Examiners.

1. The following levels were taken on a proposed line of main road :

40

45

50

110

Joins existing road.

Schist rock, dips 45° across road.

River; summer level 68; flood level 80; rapid current; drains 400 square miles; hilly country.

105 Small creek; drains square mile. 110

120 Joins existing road.

Plot the section to suitable scale, and show suitable grades for main road traffic; figure in surface and formation levels, depths of cutting and height of banks; and indicate necessary provision for flood-water.

2. Prepare a schedule of quantities for forming and metalling the above road, and for rough culvert over creek at 40 chains; and give all necessary cross sections. The formation width is to be 30 feet, of which 18 feet is to be pitched and metalled, the pitchers being 7 inches deep and the metalling 6 inches thick.

3. Discuss the construction and adjustment of the pantograph.

APPLIED MECHANICS.

FIRST PAPER.

The Board of Examiners.

Not more than FIVE questions to be attempted.

1. Make a neat sketch of the weighing end of the University testing machine, and describe carefully how you would verify its accuracy.

2. Write an Essay on modern methods of Extensometry.

3. A pontoon, 40 feet long, 20 wide, and 5 deep, weighs 20 tons. Find the position of its waterline with 5 tons weight on one corner.