Machinery's Handbook, 31st Edition
TABLE OF CONTENTS MATHEMATICS
TRIGONOMETRY: SOLUTION OF TRIANGLES 94 Terminology 94 Degree and Radian Angle Measure 94 Trigonometric Ratios of Essential Angles 95 Functions of Angles 95 Right Triangle Ratios 96 Law of Sines 96 Law of Cosines 96 Trigonometric Identities 98 Solution of Right Triangles 99 Solution and Examples of Right Triangles 100 Solution and Examples of Oblique Triangles 102 Rapid Solution of Triangles 103 Conversion Tables of Angular Measure 105 Trigonometric Functions 106 Trigonometry Tables 111 Using a Calculator to Find
CALCULUS
130 Derivatives 130 Formulas 131 Rules 131 Integrals (Antiderivatives) 132 Integral Rules 132 Newton’s Method for Solving Equations Formulas for Differential and Integral Calculus 135 Series Representation of a Function STATISTICAL ANALYSIS OF MANUFACTURING DATA 136 Statistics Theory in Brief 136 Probability 137 Normal Distribution Analysis 139 Applying Statistics 139 Minimum Number of Test or Data Points 139 Comparing Products with Respect to Average Performance ENGINEERING ECONOMICS 143 Interest 143 Variables 144 Simple Interest 144 Compound Interest 144 Determining Principal, Rate, or Time 145 Nominal versus Effective Interest Rates 146 Cash Flow and Equivalence 146 Present Value and Discount 146 Annuities 147 Sinking Funds 147 Cash Flow Diagrams 149 Depreciation 149 Straight Line 149 Sum of the Years Digits 149 Double Declining Balance 149 Statutory Depreciation 150 Evaluating Alternative Investments 150 Net Present Value 151 Capitalized Cost 152 Equivalent Uniform Annual Cost 153 Rate of Return 153 Benefit-Cost Ratio 153 Payback Period 133
Trigonometric Function Values Versed Sine and Cosine Sevolute Functions
111 111 111
Involute Functions 116 Spherical Trigonometry 116 Right-Angle Spherical Trigonometry 118 Oblique Spherical Trigonometry 120 CompoundAngles 122 Interpolation MATRICES 124 Matrix Operations 124 Addition and Subtraction 124 Multiplication 125 Transpose 125 Determinant of a Square Matrix 125 Minors and Cofactors 126 Adjoint of a Matrix 126 Singularity and Rank 126 Inverse 127
Solving a System of Equations
2
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