Ch. 1. Constructions. Constructing Segments. Constructing Radical Lengths. Trisecting a Circle. Trisecting an Angle. Constructing a Pentagon. Constructing Triangles Ch. 2. Problems of Antiquity. The Pythagorean Theorem. The Golden Rectangle. The Golden Triangle. The Arbelos Ch. 3. Post-Euclidean Theorems. Ptolemy's Theorem. Ceva's Theorem. Stewart's Theorem. Simson's Theorem. Napoleon's Theorem Ch. 4. Non-Euclidean Geometry. Taxicab Geometry. Transformational Geometry Symmetry. Projective Geometry. Spherical Geometry Ch. 5. Solid Geometry. This Wraps It Up. Regular Polyhedra. Cavalieri's Principle. The Jolly Green Giant? Ch. 6. Geometric Applications. Mathematics on a Billiard Table. Bypassing an Inaccessible Region. The Inaccessible Angle. Minimizing Distances. Problem Solving A Reverse Strategy Ch. 7. Geometric Puzzlers. Geometric Fallacies. The Nine-Point Circle. Equicircles. More Equicircles. Locus Methods Resource A. List of Activities and the NCTM Standards Addressed by Each
