SECOND YEAR'S COURSE.
Class IV.
195
1. Arithmetic. Revision of Decimals, Approximations, Metric
Syster.
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
formulae, 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 logarithas; the calculation of square roots by the ordinary arithmetical method; using algebraic formulae 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 equi- -distant ordinates or widths are given, (2) by the use of a squared paper whether the given ordinates or widths are equidis- -tant or not, the "nidordinate 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 finding 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
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