## Table of contents for Popular woodworking practical shop math / Tom Begnal.

Bibliographic record and links to related information available from the Library of Congress catalog.

Note: Contents data are machine generated based on pre-publication provided by the publisher. Contents may have variations from the printed book or be incomplete or contain other coding.

```INTRODUCTION . . . . . . . . . . . . . . . vi
PART ONE
Basic Woodshop
Arithmetic
CHAPTER 1
Understanding Fractions
What Is a Fraction? . . . . . . . . . . . . . . . . 2
Reading Fractions . . . . . . . . . . . . . . . . . 3
Fractions and Division . . . . . . . . . . . . . . 3
Types of Fractions . . . . . . . . . . . . . . . . 3
Reducing Fractions to Lowest Terms . . . . 4
Raising Fractions to Higher Terms . . . . . 5
Equivalent Fractions . . . . . . . . . . . . . . . 6
Making a Whole Number a Fraction . . . . 6
Common Denominators . . . . . . . . . . . . . 6
Like Fractions and Unlike Fractions . . . . 8
Mixed Numbers . . . . . . . . . . . . . . . . . 10
CHAPTER 2
Working With Fractions
Adding Fractions . . . . . . . . . . . . . . . . 12
Subtracting Fractions . . . . . . . . . . . . . . 17
Multiplying Fractions . . . . . . . . . . . . . 20
Dividing Fractions . . . . . . . . . . . . . . . 24
CHAPTER 3
Understanding Decimals
Place Value and Decimals . . . . . . . . . . 30
The Place Value Chart . . . . . . . . . . . . . .31
Zero as a Placeholder . . . . . . . . . . . . . 33
Adding Zero to the End of a
Decimal . . . . . . . . . . . . . . . . . . . . . . . 33
Comparing Decimals . . . . . . . . . . . . . . 34
Changing a Decimal to a Fraction . . . . . 34
Changing a Fraction to a Decimal . . . . . 35
CHAPTER 4
Working With Decimals
Adding Decimals . . . . . . . . . . . . . . . . 36
Subtracting Decimals . . . . . . . . . . . . . . 40
Multiplying Decimals . . . . . . . . . . . . . 43
Dividing Decimals . . . . . . . . . . . . . . . 47
Changing a Fraction to a Decimal . . . . . 52
CHAPTER 5
Powers and Roots
Understanding Powers . . . . . . . . . . . . . 54
Understanding Roots . . . . . . . . . . . . . . 58
Finding the Roots of a Number . . . . . . . 59
PART TWO
Basic Woodshop Geometry
CHAPTER 6
Common Geometric Shapes
Plane Figures . . . . . . . . . . . . . . . . . . . 62
Solid Figures . . . . . . . . . . . . . . . . . . . 75
CHAPTER 7
Plane Figure Formulas
Triangle . . . . . . . . . . . . . . . . . . . . . . . 82
Square . . . . . . . . . . . . . . . . . . . . . . . . 83
Rectangle . . . . . . . . . . . . . . . . . . . . . . 83
Rhomboid . . . . . . . . . . . . . . . . . . . . . 83
Rhombus . . . . . . . . . . . . . . . . . . . . . . 84
Trapezoid . . . . . . . . . . . . . . . . . . . . . . 84
Trapezium . . . . . . . . . . . . . . . . . . . . . 85
Regular Pentagon . . . . . . . . . . . . . . . . 85
Regular Hexagon . . . . . . . . . . . . . . . . 86
Regular Octgaon . . . . . . . . . . . . . . . . . 86
Regular Decagon . . . . . . . . . . . . . . . . 86
Regular Dodecagon . . . . . . . . . . . . . . . 87
Ellipse . . . . . . . . . . . . . . . . . . . . . . . . 87
Circle . . . . . . . . . . . . . . . . . . . . . . . . 87
CHAPTER 8
Solid Figure Formulas
Cube . . . . . . . . . . . . . . . . . . . . . . . . . 89
Right Rectangular Prism . . . . . . . . . . . 90
Right Cylinder . . . . . . . . . . . . . . . . . . 90
Right Cone . . . . . . . . . . . . . . . . . . . . . 91
Right Square Pyramid . . . . . . . . . . . . . 91
Right Rectangular Pyramid . . . . . . . . . . 92
Right Pyramid (General Formula) . . . . . 92
Sphere . . . . . . . . . . . . . . . . . . . . . . . . 93
CHAPTER 9
Basic Geometric
Constructions
The Basic Constructions
Step by Step . . . . . . . . . . . . . . . . . 95
Construction Decorative Patterns
Step by Step . . . . . . . . . . . . . . . . 110
Angles From Triangles . . . . . . . . . . . 114
CHAPTER 10
Basic Geometric Theorems
. . . . . . . . . . . . . . . . . . . . . . . . . . 116
PART THREE
Using Math in the Woodshop
CHAPTER 11
Enlarging Grid Patterns
The Grid Square Method . . . . . . . . . . 124
The Photocopy Method . . . . . . . . . . . 128
CHAPTER 12
Simplifying Compound
Angles. . . . . . . . . . . . . . . . . . . . . . . . . . 131
CHAPTER 13
Solving Right Triangles
Using the Pythagorean Theorem . . . . . 137
Using Tables . . . . . . . . . . . . . . . . . . 139
Contents v
CHAPTER 14
Applying Handy Woodshop Formulas
Determining Wood Moisture Content . . . . . . . . . . . . . . . . . . . . 144
Determining Side Lengths for Polygons 146
Miter Angles for Polygons . . . . . . . . . 147
Arc Formulas . . . . . . . . . . . . . . . . . . 150
Particleboard Shelf-Span Formulas . . . 151
Determining Band Saw Blade
Length . . . . . . . . . . . . . . . . . . . . 154
Pulley Formulas . . . . . . . . . . . . . . . . 156
Temperature Conversion Formulas . . . 158
How to Calculate Board Feet . . . . . . . 158
Board Footage Chart . . . . . . . . . . . . . 160
Calculating the Weight of a Board Foot 161
Table of Specific Gravity . . . . . . . . . . 163
CHAPTER 15
Converting a Photograph Into a Dimensioned Drawing
Ratio . . . . . . . . . . . . . . . . . . . . . . . . 165
Proportion . . . . . . . . . . . . . . . . . . . . 165
The Cross Product Rule . . . . . . . . . . . . 166
Using Proportion to Dimension a
Photograph . . . . . . . . . . . . . . . . . 167
CHAPTER 16
Reading the Micrometer and Vernier Caliper
The Micrometer . . . . . . . . . . . . . . . . 171
The Vernier Caliper . . . . . . . . . . . . . 174
Appendix
Glossary . . . . . . . . . . . . . . . . . . . . . 178
Conversion Charts . . . . . . . . . . . . . . . 181
Table of Powers and Roots . . . . . . . . 194
INDEX . . . . . . . . . . . . . . . . . . . . . . 198
```

Library of Congress Subject Headings for this publication:

Woodwork -- Mathematics.
Shop mathematics.