Ⅰ．FACTORS AND MULTIPLES 1
Ⅱ．VULGAR FRACTIONS 5
Ⅲ．DECIMAL FRACTIONS－THE METRIC SYSTEM－CONTRACTED METHODS－AVERAGES 15
Decimal Fractions 15
The Metric System 26
Contracted Methods 29
Averages 32
Ⅳ．PROPORTION－ 33
Direct Proportion 33
Inverse Proportion 36
Compound Proportion 39
Proportional Division 41
Ⅴ．USE OF SQUARED PAPER－ 42
Plotting and Interpolation 42
Graphs of Proportional Quantities 48
Ⅵ．PERCENTAGES－INTEREST 53
Ⅶ．POWERS AND ROOTS 59
Ⅷ．ALGEBRA－FUNDAMENTAL RULES－ 64
Use of Symbols 64
Algebraical Addition 66
Algebraical Subtraction 68
Algebraical Multiplication 69
Algebraical Division 72
Brackets 74
Simplification of Fractional Expressions 75
Ⅸ．SIMPLE EQUATIONS－SYMBOLICAL EXPRESSION－PROBLEMS－ 77
Simple Equations 77
Symbolical Expression 80
Problems leading to Simple Equations 82
Ⅹ．LOGARITHMS－THE SLIDE RULE－ 85
Logarithms 85
Calculations made by Means of Logarithms 92
The Slide Rule 95
Ⅺ．SIMULTANEOUS EQUATIONS 100
Ⅻ．GRAPHS OF FUNCTIONS AND EQUATIONS 106
ⅩⅢ．FACTORS－QUADRATIC EQUATIONS 128
ⅩⅣ．GEOMETRY OF RECTILINEAR FIGURES 138
Measurement of Length 138
Angles 139
Triangles 142
Parallel Lines 148
Quadrilaterals 151
Polygons 151
ⅩⅤ．GEOMETRY OF CIRCLES－ 155
Chords 155
Angles in a Circle 157
Tangents 161
ⅩⅥ．LOCI 167
ⅩⅦ．MENSURATION：PLANE FIGURES－ 172
Rectilinear Figures 172
The Circle 184
The Ellipse 187
ⅩⅧ．MENSURATION：SOLIDS－SIMILAR FIGURES－IRREGULAR FIGURES－ 189
Solids 189
Similar Figures 204
Irregular Figures 210
ⅩⅨ．TRIGONOMETRY－ 215
Trigonometrical Ratios 215
Easy Trigonometrical Problems 225
Solution of Triangles which are not Right-angled 230
ⅩⅩ．SOME APPLICATIONS 236
ADDITIONAL EXAMPLES 252
LOGARITHMS 270
ANTILOGARITHMS 272
TRIGONOMETRICAL RATIOS 274
ANSWERS 283
ANSWERS TO ADDITIONAL EXAMPLES 298
INDEX 302