Geometry An Investigative Approach

ISBN-10: 0201217953

ISBN-13: 9780201217957

Edition: 2nd 1992 (Revised)

List price: $103.00
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Book details

List price: $103.00
Edition: 2nd
Copyright year: 1992
Publisher: Addison Wesley
Publication date: 5/31/1992
Binding: Paperback
Pages: 480
Size: 7.75" wide x 9.50" long x 1.00" tall
Weight: 2.046
Language: English

A Panoramic View of Geometry
Introduction
Geometry in the Physical World
Geometry as a Mathematical System
Geometry as a Formal Axiomatic Structure
Aesthetic and Recreational Aspects of Geometry
Summary
Basic Ideas of Geometry
Introduction
Points, Lines, and Their Relationships
Basic Geometric Figures and Their Measures
Line and Angle Relationships
More about Triangles and Quadrilaterals
Discovering Polygon Relationships
Introduction
More About Polygons
Symmetry of Polygons
Construction of Regular Polygons
Star Polygons
Discovering Theorems About Polygons
Patterns of Polygons
Tessellations
Introduction
Tessellations of Polygons
Tessellations with Regular Polygons
Analysis of Semi-Regular Tessellations
Three-Mirror Kaleidoscope
Tessellations of Curved Patterns
Geometry in 3-Dimensions
Introduction
Regular Polyhedra
Symmetry in Space
Semi-Regular Polyhedra
Tessellations of Space
Measurement--Length, Area, and Volume
Introduction
Need for Standard Units in Measuring
Metric System of Measuring Units
Measuring Length
Measuring Area
Measuring Volume and Capacity
Measuring Mass and Weight
Motions in Geometry
Introduction
Slides or Translations
Turns or Rotations
Flips or Reflections
Combining Slides, Turns, and Flips
Motions and Congruence
Magnification and Similarity
Introduction
Magnification
Properties of Magnifications
Similarity
Topology
Introduction
Topological Equivalence
Networks
Jordan Curve Theorem
Contiguous Regions
Four Color Problem
Number Patterns in Geometry
Introduction
Patterns of Points
Patterns of Lines
Pattern and Proof
Pascal's Triangle and Related Patterns
Appendices
Using Logo in Geometry
Constructions
Metric Units
Critical Thinking
Computer Explorations in Geometry
Glossary, Postulates, and Theorems
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