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Challenging Problems in Geometry

Paperback Engels 2003 9780486691541
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Samenvatting

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

ISBN13:9780486691541
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:272
Uitgever:Dover Publications Inc.

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Inhoudsopgave

Introduction
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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          Challenging Problems in Geometry