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# Elementary Geometry for College Students

**by**Unknown

3rd

### 9780618221769

061822176X

Paperback

7/1/2002

Brooks Cole

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## Summary

The Third Edition ofElementary Geometry for College Studentscovers the important principles and real-world applications of plane geometry with additional chapters on solid geometry, analytic geometry, and trigonometry. The text's largely visual approach, strongly influenced by both NCTM and AMATYC standards, begins with the presentation of a concept followed by the examination and development of a theory, verification of the theory through deduction, and finally, application of the principles to the real world. Videotapes, professionally produced for this text and hosted by Dana Mosely, offer a valuable resource for further instruction and review. Remindermarginal notes reinforce theorems or formulas from previous chapters to help students progress through the course. Enhanced Chapter Openers introduce students to the principle notion of the chapter and provide real-world context.

## Table of Contents

Note: Each chapter concludes with a Summary and Review Exercises | |

Line and Angle Relationships | |

Statements and Reasoning | |

Informal Geometry and Measurement | |

Early Definitions and Postulates | |

Angles and Their Relationships | |

Introduction to Geometric Proof | |

Relationships: Perpendicular Lines | |

The Formal Proof of a Theorem A Look Beyond: Historical Sketch of Euclid | |

Parallel Lines | |

The Parallel Postulate and Special Angles | |

Indirect Proof | |

Proving Lines Parallel | |

The Angles of a Triangle | |

Convex Polygons A Look Beyond: Non-Euclidean Geometries | |

Triangles | |

Congruent Triangles | |

Corresponding Parts of Congruent Triangles | |

Isosceles Triangles | |

Basic Constructions Justified | |

Inequalities in a Triangle A Look Beyond: Historical Sketch of Archimedes | |

Quadrilaterals | |

Properties of a Parallelogram | |

The Parallelogram and Kite | |

The Rectangle, Square, and Rhombus | |

The Trapezoid A Look Beyond: Historical Sketch of Thales | |

Similar Triangles | |

Ratios, Rates, and Proportions | |

Similar Triangles and Polygons | |

The Pythagorean Theorem | |

Special Right Triangles | |

Segments Divided Proportionally A Look Beyond: An Unusual Application of Similar Triangles | |

Circles | |

Circles and Related Segments and Angles | |

More Angle Measures in The Circle | |

Line and Segment Relationships in the Circle | |

Constructions and Inequalities for the Circle | |

Locus of Points | |

Concurrency of Lines A Look Beyond: History of Pi | |

Areas of Polygons and Circles | |

Area and Initial Postulates | |

Perimeter and Area of Polygons | |

Regular Polygons and Area | |

Circumference and Area of a Circle | |

More Area Relationships in the Circle A Look Beyond: Another Look at the Pythagorean Theorem | |

Surfaces and Solids | |

Prisms, Area, and Volume | |

Pyramids, Area, and Volume | |

Cylinders and Cones | |

Polyhedrons and Spheres A Look Beyond: Historical Sketch of Reneacute; Descartes | |

Analytic Geometry | |

The Rectangular Coordinate System | |

Graphs of Linear Equations and Slope | |

Preparing to Do Analytic Proofs | |

Analytic Proofs | |

Equations of Lines A Look Beyond: The Banach-Tarski Paradox | |

Introduction to Trigonometry | |

The Sine Ratio and Applications | |

The Cosine Ratio and Applications | |

The Tangent Ratio and Other Ratios | |

More Trigonometric Relationships A Look Beyond: Radian Measure of Angles | |

Appendix A | |

Appendix B | |

Appendix C | |

Table of Contents provided by Publisher. All Rights Reserved. |