
Geometry DeMYSTiFieD, 2nd Edition
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- Using a drafting compass and straight edge
- Solving pairs of equations
- Working with vectors in three-space
- Polar coordinates
- Cartesian n-space
Simple enough for a beginner, but challenging enough for an advanced student, Geometry Demystified, Second Edition helps you master this fundamental mathematics subject.
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Content
- Cover Page
- Geometry DeMYSTiFieD®
- Copyright Page
- Dedication
- About the Author
- Contents
- Acknowledgments
- How to Use This Book
- Part I Two Dimensions
- Chapter 1 Rules of the Game
- Points and Lines
- Angles and Distances
- More about Lines and Angles
- Quiz
- Chapter 2 Triangles
- Triangle Definitions
- Criteria for Congruence and Similarity
- Types of Triangles
- Special Facts
- Quiz
- Chapter 3 Quadrilaterals
- Types of Quadrilaterals
- Facts about Quadrilaterals
- Perimeters and Interior Areas
- Quiz
- Chapter 4 Other Plane Figures
- Five Sides and Up
- Some Rules for Polygons
- Circles and Ellipses
- Quiz
- Chapter 5 Compass and Straight Edge
- Tools and Rules
- Linear Construction Methods
- Angular Construction Methods
- Quiz
- Chapter 6 The Cartesian Plane
- Two Number Lines
- Relation versus Function
- Straight Lines
- Parabolas and Circles
- Solving Pairs of Equations
- Quiz
- Test: Part I
- Part II Three Dimensions and Up
- Chapter 7 An Expanded Set of Rules
- Points, Lines, Planes, and Space
- Angles and Distances
- More Facts
- Quiz
- Chapter 8 Surface Area and Volume
- Straight-Edged Objects
- Circular Cones
- Circular Cylinders
- Other Solids
- Quiz
- Chapter 9 Vectors and Cartesian Three-Space
- A Taste of Trigonometry
- Vectors in the Cartesian Plane
- Three Number Lines
- Vectors in Cartesian Three-Space
- Planes
- Straight Lines
- Quiz
- Chapter 10 Alternative Coordinates
- Polar Coordinates
- Some Examples
- Compression and Conversion
- The Navigator's Way
- Alternative 3D Coordinates
- Quiz
- Chapter 11 Hyperspace and Warped Space
- Cartesian n-Space
- Some Hyper Objects
- Beyond Four Dimensions
- Parallel Principle Revisited
- Warped Space
- Quiz
- Test: Part II
- Final Exam
- Answers to Quizzes, Tests, and Final Exam
- Suggested Additional Reading
- Index
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