BOYCE MATHS TECH VOCATNL STDS _c10

, by Boyce, John; Margolis, Louis; Slade, Samuel

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9780130104328 | 0130104329
Cover: Paperback
Copyright: 6/11/1999

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In print for over 75 years--and continually updated to reflect the contemporary work world and the changing needs of technical/trades workers--this book provides an accessible, comprehensive survey of all the practical mathematical skills required on the job in industry today. Using clear, uncomplicated explanations, an abundance of illustrations, and example problems drawn from the technical and trade professions, it helps readers gain competence and confidence in a broad range of mathematical problem-solving skills--from addition of whole numbers to problems concerning threads and gearing. Features convenient-reference comprehensive tables and formulas in the back of the book. Whole Numbers. Common Fractions. Decimal Fractions. Percentage. Ratio and Proportion. Practical Algebra. Rectangles and Triangles. Regular Polygons and Circles. Solids. Metric Measure. Graphs. Measuring Instruments. Geometrical Constructions. Logarithms. Essentials of Trigonometry. Strength of Materials. Work and Power. Tapers. Speed Ratios of Pulleys and Gears. Screw Threads. Cutting Speed and Feed. Gears. A reference and tutorial on practical mathematics for anyone in the technical trades.

Chapter 1 Whole Numbers

(18)

1-1 Introduction

(1)

1-2 Addition of Whole Numbers

(4)

1-3 Calculator Addition

(1)

1-4 Subtraction of Whole Numbers

(3)

1-5 Calculator Subtraction

(1)

1-6 Multiplication of Whole Numbers

(2)

1-7 Calculator Multiplication

(1)

1-8 Division of Whole Numbers

(2)

1-9 Calculator Division

(4)

Chapter 2 Common Fractions

(32)

2-1 Introduction

(1)

2-2 Definitions

(1)

2-3 Changing Whole or Mixed Numbers to Improper Fractions

(2)

2-4 Changing Improper Fractions to Whole or Mixed Numbers

(1)

2-5 Changing a Fraction to Lowest Terms

(2)

2-6 Changing a Fraction with a Given Denominator to One with a Higher Denominator

(1)

2-7 Changing Two or More Fractions to Equivalent Fractions Having a Common Denominator

(2)

2-8 Addition of Fractions

(1)

2-9 Addition of Mixed Numbers

(2)

2-10 Subtraction of Fractions

(1)

2-11 Subtraction of Mixed Numbers

(2)

2-12 Multiplication of Fractions

(3)

2-13 Division of Fractions

(2)

2-14 Problems Involving Multiplication and Division

(1)

2-15 Complex Fractions

(11)

Chapter 3 Decimal Fractions

(36)

3-1 Introduction

(2)

3-2 Changing a Decimal Fraction to a Common Fraction

(2)

3-3 Changing a Common Fraction to a Decimal Fraction

(2)

3-4 Using a Table of Decimal Equivalents

(2)

3-5 Conversion of Dimensions

(2)

3-6 Addition of Decimals

(1)

3-7 Subtraction of Decimals

(1)

3-8 Multiplication of Decimals

(3)

3-9 Division of Decimals

(3)

3-10 Using the Calculator to Solve Decimal Problems

(18)

Chapter 4 Percentage

(14)

4-1 Definitions

(1)

4-2 Finding the Percentage, Given the Base and the Rate

(2)

4-3 Finding the Rate, Given the Base and the Percentage

(2)

4-4 Finding the Base, Given the Percentage and the Rate

(3)

4-5 Using the Calculator to Find the Percentage, Given the Base and the Rate

(1)

4-6 Using the Calculator to Find the Rate, Given the Base and the Percentage

(1)

4-7 Using the Calculator to Find the Base, Given the Percentage and the Rate

(1)

4-8 The P-R-B Triangle

(3)

Chapter 5 Ratio and Proportion

101

(14)

5-1 Ratio

101

(1)

5-2 Reduction of Ratios to Lowest Terms

101

(2)

5-3 Proportion

103

(4)

5-4 Using the Calculator to Solve Proportion Problems

107

(3)

5-5 Averages

110

(1)

5-6 Using the Calculator to Find the Average of a Set of Numbers

111

(4)

Chapter 6 Practical Algebra

115

(22)

6-1 Use of Letters

115

(1)

6-2 Negative Numbers

115

(1)

6-3 Definitions

116

(3)

6-4 Substitution

119

(1)

6-5 Addition

120

(2)

6-6 Subtraction

122

(2)

6-7 Symbols of Grouping

124

(1)

6-8 Multiplication

125

(2)

6-9 Division

127

(2)

6-10 Equations

129

(8)

Chapter 7 Rectangles and Triangles

137

(44)

7-1 Area of Surfaces and Units of Area

137

(6)

7-2 The Perimeter of a Rectangle

143

(1)

7-3 Finding the Width or Length of a Rectangle

144

(2)

7-4 Squares and Square Roots

146

(1)

7-5 Finding the Square Root of a Whole Number

147

(1)

7-6 The Square Root of Mixed Numbers

148

(2)

7-7 Finding the Square Root of a Fraction

150

(1)

7-8 Using the Calculator to Solve Square Root Problems

151

(2)

7-9 Applications of Square Root

153

(6)

7-10 Triangles

159

(3)

7-11 Areas of Isosceles Triangles

162

(1)

7-12 Areas of Scalene Triangles Using Hero's Formula

163

(2)

7-13 Using the Calculator to Solve Triangle Problems

165

(6)

7-14 Angles in Triangles

171

(3)

7-15 Using the Calculator for Angle Measure in D.MS

174

(7)

Chapter 8 Regular Polygons and Circles

181

(58)

8-1 Definitions

181

(1)

8-2 Equilateral Triangles

181

(4)

8-3 Squares

185

(2)

8-4 The Regular Hexagon

187

(4)

8-5 The Regular Octagon

191

(3)

8-6 Practice Problems on the Use of the Table of Constants

194

(3)

8-7 Regular Polygons and the Calculator

197

(3)

8-8 Quadrilaterals

200

(1)

8-9 Area of a Trapezoid

200

(4)

8-10 Areas of Composite Figures

204

(2)

8-11 Scale

206

(1)

8-12 Finding the Drawing Measure

206

(1)

8-13 Finding the Actual Dimension on the Object from the Measured Dimension on the Diagram

207

(2)

8-14 Finding the Area of a Figure Drawn to a Certain Scale

209

(2)

8-15 Circles

211

(1)

8-16 Circumference

211

(2)

8-17 Using the Calculator to Find Circumference

213

(1)

8-18 Finding the Diameter of a Circle

213

(1)

8-19 Finding the Area of a Circle: Method 1

214

(1)

8-20 Finding the Area of a Circle: Method 2

215

(2)

8-21 Using the Calculator to Find the Area of a Circle

217

(1)

8-22 Finding the Diameter of a Circle When the Area Is Given: Method 1

218

(1)

8-23 Finding the Diameter of a Circle When the Area Is Given: Method 2

219

(1)

8-24 Finding the Diameter of a Circle Equal in Area to the Combined Areas of Two or More Circles

219

(2)

8-25 Short Method of Comparing Areas of Circles

221

(1)

8-26 Areas of Ring Sections

222

(1)

8-27 Short Method of Finding the Areas of Ring Sections

223

(1)

8-28 Arcs and Sectors of Circles

224

(2)

8-29 Circles and Regular Figures

226

(3)

8-30 Segments of Circles

229

(2)

8-31 The Ellipse

231

(2)

8-32 Summary of Formulas for Plane Figures

233

(6)

Chapter 9 Solids

239

(36)

9-1 Definitions

239

(1)

9-2 Prisms and Cylinders

239

(1)

9-3 Volumes of Prisms

239

(4)

9-4 Finding the Height of a Prism or a Cylinder

243

(1)

9-5 Finding the Area of the Base of a Prism or a Cylinder

244

(1)

9-6 Lateral Surface Areas of Prisms and Cylinders

245

(2)

9-7 Pyramids and Cones

247

(1)

9-8 Volumes of Pyramids and Cones

247

(2)

9-9 Lateral Surface Areas of Pyramids and Cones

249

(2)

9-10 Frustums of Pyramids and Cones

251

(2)

9-11 Finding the Height of the Frustum of a Pyramid or a Cone

253

(2)

9-12 Finding the Lateral Surface Area of the Frustum of a Cone or a Pyramid

255

(2)

9-13 Spheres

257

(2)

9-14 Using the Calculator to Find Volumes of Spheres

259

(1)

9-15 Finding the Surface Area of a Sphere

260

(1)

9-16 Volume of a Ring

260

(1)

9-17 Volumes of Composite Solid Figures

261

(3)

9-18 Weights of Materials

264

(2)

9-19 Weights of Castings from Patterns

266

(1)

9-20 Board Measure

267

(2)

9-21 Flooring

269

(2)

9-22 Summary of Formulas for Solids

271

(4)

Chapter 10 Metric Measure

275

(28)

10-1 Introduction

275

(4)

10-2 Units of Length

279

(2)

10-3 Units of Area

281

(3)

10-4 Units of Volume

284

(4)

10-5 Units of Weight

288

(1)

10-6 Converting English Length to Metric Length

289

(3)

10-7 Converting English Area to Metric Area

292

(2)

10-8 Converting English Area to Metric Area Using Constants

294

(2)

10-9 Converting English Volume to Metric Volume

296

(2)

10-10 Converting English Weight to Metric Weight

298

(1)

10-11 Converting English Temperature and Metric Temperature

299

(4)

Chapter 11 Graphs

303

(18)

11-1 Definitions

303

(1)

11-2 Types of Graphs

303

(5)

11-3 Use of Graphs in Experimental Work

308

(1)

11-4 Two or More Graphs Combined

308

(6)

11-5 Circle Graphs

314

(3)

11-6 Bar Graphs

317

(4)

Chapter 12 Measuring Instruments

321

(12)

12-1 The Micrometer

321

(2)

12-2 The Ten-Thousandths Micrometer

323

(2)

12-3 The Vernier Caliper

325

(2)

12-4 The Protractor

327

(1)

12-5 The Vernier Protractor

327

(2)

12-6 The Planimeter

329

(1)

12-7 Use of the Planimeter

330

(3)

Chapter 13 Geometrical Constructions

333

(22)

13-1 Applications of Geometry

333

(1)

13-2 Bisecting a Line Segment

333

(1)

13-3 Bisecting an Angle

334

(1)

13-4 Bisecting an Arc

335

(1)

13-5 Constructing a Perpendicular to a Line at a Given Point on the Line

335

(1)

13-6 Constructing a Perpendicular to an Endpoint of a Line Segment

335

(1)

13-7 Constructing a Perpendicular to a Line through a Point Not on the Line

336

(1)

13-8 Constructing a Line Parallel to Another Line

337

(1)

13-9 Dividing a Line Segment into a Number of Equal Parts

337

(1)

13-10 Constructing an Angle Equal to a Given Angle

338

(1)

13-11 Constructing an Equilateral Triangle of a Given Size

339

(1)

13-12 Constructing a Circle through Three Given Points

339

(1)

13-13 Finding the Center of a Circle or an Arc

340

(1)

13-14 Inscribing a Square in a Circle

341

(1)

13-15 Constructing a Square of a Given Size

341

(1)

13-16 Constructing a Square Equal in Area to the Sum or Difference of Two Given Squares

342

(1)

13-17 Constructing a Circle Equal in Area to the Sum or Difference of the Areas of Two Given Circles

343

(1)

13-18 Inscribing a Hexagon in a Circle

344

(1)

13-19 Inscribing an Equilateral Triangle in a Circle

344

(1)

13-20 Constructing a Hexagon Whose Sides Will Be a Given Length

344

(1)

13-21 Constructing a Hexagon with One of the Sides on a Given Line

345

(1)

13-22 Inscribing an Octagon in a Circle

346

(1)

13-23 Inscribing an Octagon in a Square

346

(1)

13-24 Constructing an Octagon of a Given Size

347

(1)

13-25 Constructing a Pentagon

347

(1)

13-26 Constructing a Tangent to a Circle

348

(1)

13-27 Constructing a Tangent to a Circle through a Point outside the Circle

349

(1)

13-28 Constructing a Tangent to Two Circles of Equal Size

349

(1)

13-29 Constructing an Internal Tangent to Two Equal Circles

350

(1)

13-30 Constructing an External Tangent to Two Circles of Unequal Size

351

(1)

13-31 Constructing an Internal Tangent to Two Unequal Circles

351

(1)

13-32 Constructing an Ellipse

352

(3)

Chapter 14 Logarithms

355

(18)

14-1 Definitions

355

(1)

14-2 Characteristic and Mantissa

356

(1)

14-3 Use of Tables

357

(5)

14-4 Multiplication by the Use of Logarithms

362

(1)

14-5 Division by the Use of Logarithms

363

(1)

14-6 Cologarithms

364

(1)

14-7 Combined Multiplication and Division

365

(1)

14-8 Raising a Number to Any Power

366

(1)

14-9 Extracting Any Root of a Number

367

(3)

14-10 Logarithms and the Calculator

370

(3)

Chapter 15 Essentials of Trigonometry

373

(22)

15-1 The Right Triangle

373

(2)

15-2 Trigonometric Functions

375

(1)

15-3 Use of Tables

376

(1)

15-4 Sin, Cos, and Tan on the Scientific Calculator

377

(1)

15-5 Finding an Angle Corresponding to a Given Function

378

(1)

15-6 Using the Calculator to Find an Angle, Given Its Function

379

(1)

15-7 Solution of Right Triangle

380

(5)

15-8 Isosceles Triangles

385

(10)

Chapter 16 Strength of Materials

395

(10)

16-1 Stress and Strain

395

(1)

16-2 Kinds of Stresses

395

(1)

16-3 Unit Stress

396

(1)

16-4 Elastic Limit

396

(1)

16-5 Ultimate Strength

396

(1)

16-6 Safety Factor

397

(1)

16-7 Working Unit Stresses

397

(2)

16-8 Pressure in Pipes

399

(2)

16-9 Riveted Joints

401

(4)

Chapter 17 Work and Power

405

(10)

17-1 Work and Power

405

(1)

17-2 Horsepower of a Steam Engine

406

(1)

17-3 Horsepower of Gas Engines

407

(1)

17-4 Brake Horsepower

408

(2)

17-5 Electrical Power

410

(1)

17-6 Mechanical Efficiency of Machines

411

(4)

Chapter 18 Tapers

415

(26)

18-1 Definitions

415

(1)

18-2 Computing Taper and Diameter

415

(3)

18-3 American Standard Self-Holding (Slow) Taper Series

418

(7)

18-4 Taper Angle

425

(4)

18-5 Taper Turning by Offsetting the Tail Stock

429

(4)

18-6 Taper Turning by Using the Compound Rest

433

(3)

18-7 Taper Turning by Using the Taper Attachment

436

(5)

Chapter 19 Speed Ratios of Pulleys and Gears

441

(20)

19-1 Gear Trains

441

(3)

19-2 Idlers

444

(2)

19-3 Finding the Number of Teeth for a Given Speed Ratio

446

(1)

19-4 Compound Gearing

447

(2)

19-5 Worm and Gear

449

(1)

19-6 Trains of Spur, Bevel, and Worm Gearing

450

(1)

19-7 Pulley Trains

451

(10)

Chapter 20 Screw Threads

461

(34)

20-1 Introduction

461

(1)

20-2 Pitch

461

(2)

20-3 Lead

463

(1)

20-4 Definitions Applying to Screw Threads

464

(1)

20-5 Sharp V-Thread

465

(1)

20-6 Double Depth of Sharp V-Thread

466

(1)

20-7 Minor Diameter

466

(1)

20-8 Tap Drill Sizes

467

(1)

20-9 The Unified Thread

468

(1)

20-10 Double Depth of the Unified Thread

469

(1)

20-11 Minor Diameter of Unified Threads

469

(1)

20-12 American National Thread

469

(2)

20-13 Double Depth of American National Thread

471

(1)

20-14 Minor Diameter of American National Thread

471

(1)

20-15 Size of Tap Drill for American National Threads

472

(1)

20-16 Width of Point of Tool

473

(1)

20-17 Square Thread

473

(1)

20-18 Tap Drill for Square Thread

474

(1)

20-19 The Acme 29-Degree Screw Thread

475

(1)

20-20 Tap Drill and Tap, Acme Thread

476

(1)

20-21 The Brown and Sharpe 29-Degree Worm Thread

477

(1)

20-22 Metric Standard Screw Threads

478

(1)

20-23 Whitworth Standard Threads

479

(1)

20-24 Tap Drill Size for Whitworth Thread

480

(1)

20-25 Radius of Tool Point for Whitworth Thread

481

(1)

20-26 American Standard Taper Pipe Threads

481

(1)

20-27 Length of Part Having Perfect Threads and Length of Effective Thread

482

(1)

20-28 Thickness of Metal between Bottom of Thread and Inside of Pipe in Straight Pipe Thread

483

(1)

20-29 Lathe Gearing for Cutting Screw Threads

484

(4)

20-30 Fractional Threads

488

(1)

20-31 Use of Compound Gearing

489

(3)

20-32 Cutting Metric Threads

492

(3)

Chapter 21 Cutting Speed and Feed

495

(18)

21-1 Cutting Speed and Surface, or Rim, Speed

495

(1)

21-2 Cutting Speed on the Lathe

495

(2)

21-3 Cutting Feed of a Lathe

497

(2)

21-4 Drill Press and Milling Machine

499

(1)

21-5 Drill Press Feed

500

(1)

21-6 Milling Machine Feed

501

(3)

21-7 Surface Speed or Rim Speed

504

(1)

21-8 Finding the Number of Revolutions per Minute, Given the Diameter and the Cutting Speed

504

(2)

21-9 Finding the Diameter, Given the Rim Speed and the Number of Revolutions per Minute

506

(1)

21-10 Cutting Speed on the Planer

507

(1)

21-11 Time Required for a Job on the Planer

508

(1)

21-12 Number of Strokes per Minute

509

(1)

21-13 Cutting Speed of Shapers

510

(3)

Chapter 22 Gears

513

(30)

22-1 Spur Gears

513

(4)

22-2 Diametral Pitch

517

(1)

22-3 Proportions of Gear Teeth

518

(1)

22-4 Relation Between Circular Pitch and Diametral Pitch

519

(2)

22-5 Clearance

521

(1)

22-6 Depth of Tooth

522

(1)

22-7 Outside Diameter

523

(1)

22-8 Pitch Diameter

524

(1)

22-9 Use of Formulas

525

(1)

22-10 Racks

526

(2)

22-11 Center-to-Center Distance of Gears

528

(2)

22-12 Selection of Cutters

530

(1)

22-13 Bevel Gears

530

(1)

22-14 Definitions Applying to Bevel Gears--Pitch Cones

531

(4)

22-15 Tooth Parts

535

(1)

22-16 Pitch Cone Radius

535

(1)

22-17 Addendum Angle and Turning Angle

536

(1)

22-18 Dedendum Angle and Cutting Angle

536

(1)

22-19 Outside Diameters

536

(1)

22-20 Selecting Cutters for Bevel Gears

537

(1)

22-21 Dimensions of Teeth at Small End

538

(1)

22-22 Miter Gears

539

(4)

Appendix

543

(50)

Answers to Self-Tests

593

(4)

Answers to Odd-Numbered Problems

597

(43)

Index

640

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BOYCE MATHS TECH VOCATNL STDS _c10

Summary

Table of Contents

Supplemental Materials