THE HONGKONG GOVERNMENT GAZETTE, JULY 27, 1906. 1327
SECOND YEAR'S COURSE.
CLASS IV.
1. Arithmetic.-Revision of Decimals; Approximations; Metric System.
2. Algebra. The meaning of a common logarithm; the use of logarithms in calculations involving multiplication, division, involution and evolution; calculation of numeral values from formula, however complex.
The principle underlying the construction and method of using a common slide rule; the use of a slide rule in making calculations; conversion of common logarithms into Napierian logarithms; the calculation of square-roots by the ordinary arithmetical method; using algebraic formula in working.
3. Mensuration. The rule for the length of the circumference of a circle; the rules for the areas of a triangle, parallelogram, circle; areas of the surfaces of a right circular cylinder, right circular cone, sphere, circular anchor ring; the determination of the area of an irregular plane figure (1) by using Simpson's or other well-known rules for the case where a number of equidistant ordinates or widths are given; (2) by the use of squared paper whether the given ordinates or widths are equidistant or not, the "mid-ordinate rule" being used; determination of volumes of a prism or cylinder, cone, sphere, circular anchor ring; determination of the volume of an irregular solid by each of the two methods for an irregular area, the process being first to obtain an irregular plane figure in which the varying ordinates or widths represent the varying cross sections of the solid; some practical methods of find- ing areas and volumes; determination of weights from volumes when densities are given; stating a mensuration rule as an algebraic formula.
4. Use of Squared Paper.-The use of squared paper; plotting of statistics of any kind whatsoever, of general or special interest; what such curves teach; rates of increase; interpolation, 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 a and, and also the r and ℗ co- ordinates of a point; plotting of functions such as ya?", y=ae'* where «, b, a may have all sorts of values; the straight line; meaning of its slope, slope of a curve at any point on it.
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CLASS V.
Practical Geometry.
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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 representation of velocities and forces: the triangle, parallelograin and polygon of velocities and forces.
Solid Geometry.-Projection of points, lines and planes, horizontal 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 a machine; communication of power by shafting and wheels; belt, rope, and chain driving; dynamome- ters; reversing motions, quick returns, cams, etc.; elementary principles of force and motion as applied to rotating bodies; steadiness of machines; force of a blow; extension and compression of materials; strength of boilers; riveted joints; twisting of a shaft and bending of a beam; stiffness and strength of loaded beams; loaded arch; properties of materials used in construction; stiffness and strength of springs; elementary principles of hydraulics.
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