Challenging Problems in Geometry
Paperback Engels 2003 9780486691541Samenvatting
Stimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other topics. Challenges are arranged in order of difficulty and detailed solutions are included for all. An invaluable supplement to a basic geometry textbook.
Specificaties
Lezersrecensies
Inhoudsopgave
Preparing to Solve a Problem
SECTION I A New Twist on Familiar Topics
1. Congruence and Parallelism
2. Triangles in Proportion
3. The Pythagorean Theorem
4. Circles Revisited
5. Area Relationships
SECTION II Further Investigations
6. A Geometric Potpourri
7. Ptolemy and the Cyclic Quadrilateral
8. Menelaus and Ceva: Collinearity and Concurrency
9. The Simson Line
10. The Theorem of Stewart
Hints
"Appendix I: Selected Definitions, Postulates, and Theorems"
Appendix II: Selected Formulas
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