Addison Wesley Publishing Company | 1982 | 80 páginas | PDF | 5 Mb
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Investigations in Geometry is a set of versatile enrichment exercises that covers a wide variety of topics in geometry - Euclidean, post-Euclidean, and non-Euclidean.
These investigations provide opportunities and incentives to hone problem-solving skills.
Contents
Introduction
Presenting the Investigations
The Extensions
Selecting the Investigations
Constructions
Constructing Segments
Constructing Radical Lengths
Trisecting a Circle
Trisecting an Angle
Constructing a Pentagon
Constructing Triangles
Problems of Antiquity
The Pythagorean Theorem
The Golden Rectangle
The Golden Triangle
The Arbelos
Post-Euclidean Theorems
Ptolemy's Theorem
Ceva's Theorem
Stewart's Theorem
Simson's Theorem
Napoleon's Theorem
Non-Euclidean Geometry
Taxicab Geometry
Transformational Geometry-Symmetry
Projective Geometry
Spherical Geometry
Solid Geometry
This Wraps It Up
Regular Polyhedra
Cavalieri's Principle
The Jolly Green Giant?
Geometric Applications
Mathematics on a Billiard Table
Bypassing an Inaccessible Region
The Inaccessible Angle
Minimizing Distances
Problem Solving-A Reverse Strategy
Geometric Puzzlers
Geometric Fallacies
The Nine-Point Circle
Equicircles
More Equicircles
Locus Methods
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