Chapter 1. Introduction 1Square and True 2The Modern Steel Square 3Chapter 2. History of the Steel Square 4Making Tools in Colonial America 5Making Steel Tools 8Making Metal Squares 10Eagle Square Company 11Sears, Eagle, and Stanley 14Chapter 3. A Close Look at the Steel Square 15Right Triangle 16 Area of the Right Triangle 16 Length of Diagonal 16 Circumference 16 Angles on the Calculator 16Describing the Square 17Chapter 4. Types of Squares 20Try Square 20Try-Miter Square 23Combination Square 23Framing Sqaure 23Speed Square 24 Chapter 5. Testing for Square 25Check Against a Standard 26Use a Straight Edge 27Checking Two Squares 27Use the Mirror Image 28Check a 45 (degree) Speed Square 28Chapter 6. Truing a Square 30Steel Squares 30Machinist''s Square 31Try Square 32Speed Square 32Chapter 7. Problem-Solving Techniques 34The Right Triangle 35 Ratio and Proportion 35Fences for the Steel Square 36Using the Adjustable Arm 37 Pulley Sizes and Speed 37Using the Proportioning Line 38 Comparing Circles and Squares 38Using the Diagonal 39 Combining Two Circles 39Square Attachments 40A Makeshift Level 41Construct a Protractor 42Chapter 8.

Using the Scales on a Square 43Essex Board Feet Measure 43 Finding Board Feet 44 Board Feet in Thick Plank 45 Board Feet in Long Plank 45Brace Measure 46 Brace Length 47 Long Brace Length 48Hundredths Scale 48 Decimal to Fraction 49Diagonal Scale 49 Hundredths of an Inch 49Octagonal Table or Eight -Square Scale 50 Square to Octagon 50Chapter 9. Stairs 52Stairways Design Considerations 53General Stair Rules (Residential) 53Stair Ratio 55Stairway Types 56Designing a staircase 57The Steel Square in Stair Design 58Staircase Layout 59Find the Number of Risers 60Find the Unit Rise 61Find the Number of Treads 61Find the Tread Depth 62Find the Total Run 62Final Staircase Dimensions 62Marking the Stringer 63Stair and Baluster Problems 63 Building a Ladder Stair 63 Baluster Spacing 66 Spacing Staircase Balusters 67 Spacing Balusters with a Story Pole 68Chapter 10. Roofs 70Roof Types 70The Theory of Roof Framing 72Rafter Measurement 72Definition of Terms 76Chapter 11. Laying Out the Rafters 82Rafter Length 82The Building Dimensions 821. Find Rafter Length with Math 832. Finding Rafter Length Using the Rafter Tables 853. Finding Rafter Length Using the Step-Off Method 874. Finding Rafter Length by Proportioning 885.

Finding Rafter Length by Direct Layout 88Summary of Methods to Find Rafter Length 89Laying Out Common Rafters 90Hip and Valley Rafters 92 Length of Hip Rafter 93Jack Rafters 96 Jack Rafter Length 96Chapter 12. The Speed Square 98History 98Description 99Using the Speed Square to Cut Common Rafters 100Hip and Valley Rafters 105Degree Scale 105Chapter 13. Circles and Square Problems 106Find the Center of a Circle 106Lay Out a Semicircle of Given Diameter 108Draw a Circle through Three Points 109Draw a Circle around a Polygon 111Make an Octagon from a Square 112Make an Eight-Sided Column from a Square Post 113Convert a Square to an Octagon 115Testing a Semicircle 116Find the Circumference of a Circle from it''s Diameter 117Find a Square with Area Equal to a Circle 118Find a Circle Equal in Area to a Square 120Doubling the Area of a Square 121Halving the Area of a Square 122Find a Circle Equal in Area to two Other Circles 123Find a Circle Equal in Area to Two or More Other Circles 125Find the Length of the Diagonal of a Square 126Bisect an Angle 128Chapter 14. Laying Out Angles 130Reference Lines on the TableSaw 131Lay Out Angles of 30 (degrees) and 60 (degrees) 132Lay Out a 45 (degree) Angle 134Lay Out Any Angle 134Lay Out Any Angle from 1-45 (degrees) 136Lay Out Half-Angles 138Lay Out Degree Fractions 139Lay Out Any Angle from 45 (degrees) to 90 (degrees) 140Find Angles for Segmentation Turning 141Cutting Crown Molding 143Sawhorse with Splayed Legs 145Chapter 15. Porportioning Problems 147Equal Division 147Proportioning 148Proportioning Line 149Finding a Tree Height 150Square Yards from Sqaure Feet 152Find Length of a Brace 153Cut a Leaning Post 154Chapter 16.Arch,Arc, and Ellipse Problems 156Find the Radius of an Arc 156Lay Out a Large Arch 158Lay Out an Ellipse 159Construct an Elliptical Arch 160Draw an Oval 163Bending Boards by Kerfing 164Chapter 17.Cylinders and Cones: Sheet-Metal Problems 166Raised Conical Cover 166Raised Conical Cover Variation 168Round Pipe through Pitched Roof 169Lay Out a Sqaure Exhaust Pipe 171Lay Out a Flange for the Square Exhaust Pipe 172Lay Out a Rectangular Exhaust Pipe 172Lay out a Cylindrical Exhaust Pipe 174Lay Out a 60 (degree) Y 175Pipe through a Sloped Roof 177Index 178.