# Mathematics for Machine Technology

Cengage Learning, Nov 1, 2003 - Mathematics - 530 pages
Occupations like those of machinists, tool and die makers, pattern makers, drafters, and designers require a fundamental knowledge of general math as well as of more advanced topics like oblique trigonometry, compound angles, and numerical control. This updated edition of Mathematics for Machine Technology promotes an understanding of all the mathematical concepts necessary for success in the machine trades and manufacturing fields. The author effectively combines math concepts with the relevant machine applications so that readers fully understand the value of what they are learning. Industry-specific examples, realistic illustrations, and actual applications further enhance the theory-to-application connection.

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### Contents

 Common Fractions Decimal Fractions and Percentage UNIT 1 Introduction to Common Fractions and Mixed Numbers 1 Addition of Common Fractions and Mixed Numbers 6 Subtraction of Common Fractions and Mixed Numbers 11 Multiplication of Common Fractions and Mixed Numbers 15 Division of Common Fractions and Mixed Numbers 19 Combined Operations of Common Fractions and Mixed Numbers 22 Fractions and Mixed Numbers 27 Introduction to Decimal Fractions 35
 Fundamentals of Plane Geometry 251 ProtractorsSimple Semicircular and Vernier 264 Types of Angles and Angular Geometric Principles 270 Introduction to Triangles 277 Geometric Principles for Triangles and Other Common Polygons 283 Introduction to Circles 293 Ares and Angles of Circles Tangent Circles 302 Fundamental Geometric Constructions 313

 Rounding Decimal Fractions and Equivalent Decimal and Common Fractions 36 Addition and Subtraction of Decimal Fractions 41 Multiplication of Decimal Fractions 45 Division of Decimal Fractions 47 Powers 51 Roots 57 Table of Decimal Equivalents and Combined Operations of Decimal Fractions 62 Decimals 68 373 71 introduction to Percents 73 Basic Calculations of Percentages Percents and Rates 76 Percent Practical Applications 82 Achievement ReviewSection One 87 Customary English and Metric 95 Degree of Precision Greatest Possible Error Absolute Error and Relative Error 102 Tolerance Clearance and Interference 107 Customary and Metric Steel Rules 115 Customary Vernier Calipers and Height Gages 121 Customary Micrometers 129 Customary and Metric Gage Blocks 135 Fundamentals of Algebra 136 Achievement ReviewSection Two 139 Symbolism and Algebraic Expressions 145 Signed Numbers 152 Algebraic Operations of Addition Subtraction and Multiplication 165 Algebraic Operations of Division Powers and Roots 172 Introduction to Equations 184 Solution of Equations by the Subtraction Addition and Division Principles of Equality 191 Solution of Equations by the Multiplication Root and Power Principles of Equality 200 Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas 207 Ratio and Proportion 215 Direct and Inverse Proportions 225 Applications of Formulas to Cutting Speed Revolutions Per Minute and Cutting Time 229 Applications of Formulas to Spur Gears 239 Achievement ReviewSection Three 246
 Achievement ReviewSection Four 320 Areas and Volumes 329 Areas of Triangles 336 Areas of Circles Sectors and Segments 340 Volumes of Prisms and Cylinders 346 Volumes of Pyramids and Cones 354 Volumes of Spheres and Composite Solid Figures 361 Achievement ReviewSection Five 366 Introduction to Trigonometric Functions 373 Analysis of Trigonometric Functions 382 Basic Calculations of Angles and Sides of Right Triangles 387 Simple Practical Machine Applications 395 Complex Practical Machine Applications 402 The Cartesian Coordinate System 412 Law of Sines and Law of Cosines 416 Achievement ReviewSection Six 426 Compound Angles 431 Computing Angles of Rotation and Tilt Using Given Lengths 434 Computing Angles of Rotation and Tilt Using Given Angles 438 Computing Angles of Rotation and Tilt 445 Computing Angles Made by the Intersection of Two Angular Surfaces 452 Computing Compound Angles on Cutting and Forming Tools 458 Achievement ReviewSection Seven 465 Computer Numerical Control CNC 467 Control Systems Absolute Positioning Incremental Positioning 470 Binary Numeration System 478 Achievement ReviewSection Eight 483 A United States Customary and Metric Units of Measure 485 B Principles of Plane Geometry 486 Formulas for Areas A of Plane Figures 488 Formulas for Volumes of Solid Figures 489 E Trigonometry 490 Answers to OddNumbered Applications 493 Index 521 Copyright