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190 Univer8ity College, Galway.
a positive Integral exponent, nature and use of
Logarithms, Graphical methods, Representation
of the simpler algebraic Functions by Cun-ves,
Problems.
Geometry-
The subject-matter of Euclid's Elements,
Bks. i.-vi. Deductions. Questions may be set
which involve the elements of Geometrical
Drawing. Camlidates should provide themselves
with a hard-pointed pencil, compasses.
ruler graduated in centimetres and inches and
tenths. Two small set-squares (45° and 60°)
will be allowed, but are not indispensable.
Plane Trigonometry-
So far as to include the solution of Triangles.
Problems. The use of the Logarithmic and
Trigonometrical Tables.
APPLIED MATHEMATICS (150):
Speed. Velocities-average, true, relatin'
Composition and resolution of velocities (graphically
and by calculation). Change of velocity
(direction and magnitude). Average rate of
change of velocity and of momentum. .deceleration
(composition and resolution). Uniform
acceleration. Newton's Laws of Motion. Composition
and resolution of forces (graphically
and by calculation). Gravity. Equilibrium
of forces. Parallel forces. Rectangular resolution
of forces. Inclined plane. Centre of
gravity.
Problems on projectiles without reference to
the form of the actual path. Motion of bodies
connected by a string. Motion on inclined
planes. Angular velocity and acceleration.
Moments. Elementary notions of couples.
James Hardiman Library, NUI Galway