0     Prologue
       1.  The Treasure Island Problem
       2.  The Nine-Point Circle
       3.  Morley's Theorem
       4.  The Hiker's Path
       5.  The Shortest Highway
       6.  Steiner's Minimum Distance Problem
       7.  The Pythagorean Theorem

1.     Congruence, Constructions, and the Parallel Postulate
       1-1   Angles and Their Measurement
       1-2   Congruences of Triangles
       1-3   The Parallel Postulate and Its Consequences
       1-4   More on Construction

2.     Circles
       2-1   Basic Properties of Arcs, Central and Inscribed Angles
       2-2   Circles Inscribed in Polygons
       2-3   More on Constructions

3.     Area and the Pythagorean Theorem
       3-1   Areas of Polygons
       3-2   The Pythagorean Theorem
       3-3   The Distance Formula

4.     Similarity
       4-1   Ratio, Proportion and Similar Polygons
       4-2   Further Applications of the Side Splitting Theorem and Similarity
       4-3   Areas of Similar Figures
       4-4   The Golden Ratio and the Construction of a Regular Pentagon
       4-5   Circumference and Area of a Circle
       4-6   Other Recursive Formulas for Evaluating p
       4-7   Trigonometric Functions

5.     Isometries
       5-1   Reflections, Translations, and Rotations
       5-2   Congruence and Euclidean Constructions
       5-3   More on Extremal Problems
       5-4   Similarity Transformation with Applications to Constructions

6.     Composition of Transformations and Transformation Groups
       6-1   In Search for New Isometries
       6-2   Composition of Rotations, The Treasure Island Problems and Other Treasures

7.     More Recent Discoveries
       7-1   The Nine-Point Circle and Other Results
       7-2   Complex Numbers and Geometry