Canterbury Provincial Gazette – 1874 – No. 20

Page 126

✨ Teacher Examination paper



126

  1. A segment of a circle being given, to describe the circle of which it is a segment.

  2. From a given circle to cut off a segment containing an angle which shall be equal to a given rectilinear angle.

NOTE.—The remaining questions are for first class men only, who may omit questions 1 and 2, and any one of questions 3, 4, 5, 6, 7.

  1. To describe a square about a given circle.

  2. To find a mean proportional between two given straight lines.

  3. Rectilinear figures which are similar to the same rectilinear figure, are also similar to one another.

MECHANICAL AND NATURAL PHILOSOPHY.

FIRST AND SECOND CLASSES.

  1. Three forces of 6lbs., 8lbs., and 10lbs., act on a body, their directions being all in the same straight line. What force will balance them, and what will be its direction?

  2. If the same three forces (6, 8, 10) keep a body at rest, what is the angle between the directions of the forces of 6lbs. and 8lbs.?

  3. Prove that the moments of two forces about any point in the direction of their resultant are equal.

  4. Find the centre of gravity—(1) of a triangle; (2) of half a regular octagon.

  5. In a lever of the first-class the arms are as 7 : 9. The pressure on the fulcrum is 36lbs. Find the weights.

  6. If the radius of a wheel be 4 feet, the radius of the axle 16 inches, and the weight 20lbs. what must be the power to produce equilibrium?

  7. If the capacity of the receiver in Smeaton's Air Pump be ten times that of the barrel what will be the exhaustion produced by six strokes of the piston?

NATURAL PHILOSOPHY (POPULAR).

FIRST AND SECOND CLASSES.

Describe the instruments named below, and show the principles involved in their construction and in their use:—
(1) Barometer.
(2) Syphon.
(3) Air Pump.
(4) Screw.
(5) Bramah Press.
(6) Refracting Telescope.
(7) Spectroscope.
(8) Galvanic Battery.
(9) Thermometer.
(10) Safety Lamp.
(11) Nicol Prism.

NOTE.—Any five of the above subjects will suffice, if well and fully treated.



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🎓 Examination for Certificates, January 1874: Geometry and Natural Philosophy (continued from previous page)

🎓 Education, Culture & Science
Education, Examination, Teachers, Certificates, Geometry, Natural Philosophy, Physics