Nov. 29.

THE NEW ZEALAND GAZETTE.

3035

The opposite angles of any quadrilateral inscribed in
a circle are supplementary; and the converse.
If a straight line touch a circle, and from the point
of contact a chord be drawn, the angles which this chord
makes with the tangent are equal to the angles in the
alternate segments.
If two chords of a circle intersect either inside or outside
the circle, the rectangle contained by the parts of the
one is equal to the rectangle contained by the parts of the
other.

Group III.

(18.) Elementary Mechanics.—Candidates will be expected to
show an experimental as well as a theoretical knowledge
of the fundamental laws of mechanics, but will not be
expected to show any further knowledge of pure mathematics
than what is demanded in subject (17) Elementary Mathematics.
Solids: The British and metric systems of measurement.
General and specific properties of bodies; relative
and absolute motion; rest; distinction between mass
and weight; density and relative density; uniform and
variable velocity; measure of velocity; force and momentum;
acceleration; acceleration due to gravity;
representation of forces; composition of two forces
acting at a point along parallel or intersecting lines;
equilibrium of two or more forces acting at a point;
moments of forces; composition of parallel forces;
couples; centre of parallel forces; conditions of equilibrium in case of levers, wheel and axle, pulleys, inclined
plane, wedge, and screw. Gravitation; centre of gravity,
its position in simple cases determined by experiment;
stable, unstable, and neutral equilibrium; the balance;
requisites of a good balance.
Fluids: Distinction between fluids and liquids;
experiments illustrating transmission of pressure through
a liquid; vertical upward and downward pressure;
equilibrium of a liquid in a single vessel and in communicating vessels; the water-level; artesian wells; pressure
on immersed bodies; principle of Archimedes; determination of the volume of an insoluble solid; equilibrium of floating bodies; the metacentre; stability of
flotation; determination of the density of insoluble
solids and of liquids by the balance and by the specificgravity bottle. Physical properties of gases; weight of
a body in air and in a vacuum; Torricelli's experiment;
the barometer; verification of Boyle's law; the siphon;
the air pump; the suction pump; the force pump.

(19.) Heat and Light.—Candidates will be expected to show an
experimental as well as a theoretical knowledge of the
fundamental laws of heat and light, but will not be
expected to show any further knowledge of pure mathematics than what is demanded in subject (17)
Elementary Mathematics.
Heat: Sources and nature of heat. The terms
"hot" and "cold"; distinction between temperature
and heat; effects of heat. Thermometers, and the use
of them; methods of ascertaining the fixed points.
Linear expansion of solids; effects and applications of
unequal expansion; real and apparent expansion of
liquids, especially of water; expansion of gases. Transmission of heat; conduction in solids and liquids; convection in liquids and gases; hot-water heating systems;
ocean currents; ventilation. The unit of heat; capacity
for heat; specific heat; simple methods of finding the
specific heat of solids and liquids; consequences of the
high specific heat of water; methods of finding the
melting and boiling points of substances; meaning of
"latent heat" of water and of steam.
Light: Propagation and velocity of light; pencils
and rays; pinhole images; illuminating-power; inten-