Elementary Geometry for College Students

by Unknown

Edition:

3rd

ISBN13:

9780618221769

ISBN10:

061822176X

Format:

Paperback

Pub. Date:

7/1/2002

Publisher(s):

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.

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.