Elementary Geometry for College Students 6th Edition by Daniel Alexander, Geralyn Koeberlein 9781285965901 1285965906

Elementary Geometry for College Students 6th Edition by Daniel Alexander, Geralyn Koeberlein – Ebook PDF Instant Download/Delivery: 9781285965901, 1285965906

Full dowload Elementary Geometry for College Students 6th Edition after payment

Product details:

• ISBN 10: 1285965906

• ISBN 13: 9781285965901

• Author: Daniel Alexander, Geralyn Koeberlein

Elementary Geometry for College Students
Building on the success of its first five editions, the Sixth Edition of the market-leading text explores the important principles and real-world applications of plane, coordinate, and solid geometry. Strongly influenced by both NCTM and AMATYC standards, the text includes intuitive, inductive, and deductive experiences in its explorations. Goals of the authors for the students include a comprehensive development of the vocabulary of geometry, an intuitive and inductive approach to development of principles, and the strengthening of deductive skills that leads to both verification of geometric theories and the solution of geometry-based real world applications. Updates in this edition include the addition of 150 new problems, new applications, new Discover! activities and examples and additional material on select topics such as parabolas and a Three-Dimensional Coordinate System.

Elementary Geometry for College Students 6th Table of contents:

Ch 1: Line and Angle Relationships
1.1: Sets, Statements, and Reasoning
1.2: Informal Geometry and Measurement
1.3: Early Definitions and Postulates
1.4: Angles and Their Relationships
1.5: Introduction to Geometric Proof
1.6: Relationships: Perpendicular Lines
1.7: The Formal Proof of a Theorem
Perspective on History: The Development of Geometry
Perspective on Applications: Patterns
Summary
Chapter 1 Review Exercises
Chapter 1 Test
Ch 2: Parallel Lines
2.1: The Parallel Postulate and Special Angles
2.2: Indirect Proof
2.3: Proving Lines Parallel
2.4: The Angles of a Triangle
2.5: Convex Polygons
2.6: Symmetry and Transformations
Perspective on History: Sketch of Euclid
Perspective on Applications: Non-Euclidean Geometries
Summary
Chapter 2 Review Exercises
Chapter 2 Test
Ch 3: Triangles
3.1: Congruent Triangles
3.2: Corresponding Parts of Congruent Triangles
3.3: Isosceles Triangles
3.4: Basic Constructions Justified
3.5: Inequalities in a Triangle
Perspective on History: Sketch of Archimedes
Perspective on Applications: Pascal’s Triangle
Summary
Chapter 3 Review Exercises
Chapter 3 Test
Ch 4: Quadrilaterals
4.1: Properties of a Parallelogram
4.2: The Parallelogram and Kite
4.3: The Rectangle, Square, and Rhombus
4.4: The Trapezoid
Perspective on History: Sketch of Thales
Perspective on Applications: Square Numbers as Sums
Summary
Chapter 4 Review Exercises
Chapter 4 Test
Ch 5: Similar Triangles
5.1: Ratios, Rates, and Proportions
5.2: Similar Polygons
5.3: Proving Triangles Similar
5.4: The Pythagorean Theorem
5.5: Special Right Triangles
5.6: Segments Divided Proportionally
Perspective on History: Ceva’s Proof
Perspective on Applications: An Unusual Application of Similar Triangles
Summary
Chapter 5 Review Exercises
Chapter 5 Test
Ch 6: Circles
6.1: Circles and Related Segments and Angles
6.2: More Angle Measures in the Circle
6.3: Line and Segment Relationships in the Circle
6.4: Some Constructions and Inequalities for the Circle
Perspective on History: Circumference of the Earth
Perspective on Applications: Sum of Interior Angles of a Polygon
Summary
Chapter 6 Review Exercises
Chapter 6 Test
Ch 7: Locus and Concurrence
7.1: Locus of Points
7.2: Concurrence of Lines
7.3: More About Regular Polygons
Perspective on History: The Value of n
Perspective on Applications: The Nine-Point Circle
Summary
Chapter 7 Review Exercises
Chapter 7 Test
Ch 8: Areas of Polygons and Circles
8.1: Area and Initial Postulates
8.2: Perimeter and Area of Polygons
8.3: Regular Polygons and Area
8.4: Circumference and Area of a Circle
8.5: More Area Relationships in the Circle
Perspective on History: Sketch of Pythagoras
Perspective on Applications: Another Look at the Pythagorean Theorem
Summary
Chapter 8 Review Exercises
Chapter 8 Test
Ch 9: Surfaces and Solids
9.1: Prisms, Area, and Volume
9.2: Pyramids, Area, and Volume
9.3: Cylinders and Cones
9.4: Polyhedrons and Spheres
Perspective on History: Sketch of Rene Descartes
Perspective on Applications: Birds in Flight
Summary
Chapter 9 Review Exercises
Chapter 9 Test
Ch 10: Analytic Geometry
10.1: The Rectangular Coordinate System
10.2: Graphs of Linear Equations and Slope
10.3: Preparing to Do Analytic Proofs
10.4: Analytic Proofs
10.5: Equations of Lines
10.6: The Three-Dimensional Coordinate System
Perspective on History: The Banach-Tarski Paradox
Perspective on Applications: The Point-of-Division Formulas
Summary
Chapter 10 Review Exercises
Chapter 10 Test
Ch 11: Introduction to Trigonometry
11.1: The Sine Ratio and Applications
11.2: The Cosine Ratio and Applications
11.3: The Tangent Ratio and Other Ratios
11.4: Applications with Acute Triangles
Perspective on History: Sketch of Plato
Perspective on Applications: Radian Measure of Angles
Summary
Chapter 11 Review Exercises
Chapter 11 Test
Appendix A: Algebra Review
Appendix B: Summary of Constructions, Postulates, Theorems, and Corollaries
Answers Selected Exercises and Proofs
Glossary
Index

People also search for Elementary Geometry for College Students 6th:

elementary geometry for college students 6th
    
elementary geometry for college students 6th edition answers pdf
    
elementary geometry for college students 6th edition
    
elementary geometry for college students answers
    
elementary geometry for college students 7th edition answers