196
of statistics of any kind whatsoever, of general or special
interest; what such curves teach; rates of increase, interpola- -tion, or the finding of probable intermediate values; probable
errors of observation; the calculation of a table of logarithms; finding an average value; areas and volumes; the method of fixing the position of a point in a plane; the x and y, and also the r
and
y = ax
co-ordinate of a point; plotting of functions such as
n
bx
y = ae where a,b,n may have all sorts of values; the straight line; meaning of its slope, slope of a curve at any
point on it.
Class V.
PRACTICAL GEOMETRY.
Plane Geometry. The construction and measurement of angles; the construction and use of tables of sines, cosines, and tangents of angles; areas of plane surfaces determined graphically; the location of points by rectangular co-ordinates; construction relating to lines and circles; geometrical loci applied to motion of machine parts; scalar and vector quantities; graphic represent- -ation of velocities and forces; the triangle, parallelogram and
polygon of velocities and forces.
Solid Geometry. Projection of points, lines and planes, horizont- -al projection, figured planes, and scale of slope; the inclined and oblique plane, with rabattement of contained figures; plan and elevation of plane figures and simple solids; sections of solids by vertical and horizontal planes.
Class VI.
APPLIED MECHANICS.
Force, work, energy, and power; use of squared paper; elementary principles of graphical statics; laws of work and friction; efficiency of machines; law of machine; communication of power by shafting and wheels; belt, rope, and chain driving; dynamo- -meters; reversing motions, quick returns, cans, etc.; elementary
principles