| Summary: | Lines, angles, and triangles -- Methods of proof -- Congruent triangles -- Parallel lines, distances, and angle sums -- Parallelograms, trapezoids, medians, and midpoints -- Circles -- Similarity -- Trigonometry -- Areas -- Regular polygons and the circle -- Locus -- Analytic geometry -- Inequalities and indirect reasoning -- Improvement of reasoning -- Constructions -- Proofs of important theorems -- Extending plane geometry into solid geometry -- Transformations -- Non-Euclidean geometry -- Formulas for reference -- Answers to supplementary problems.
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