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Challenging Problems in Geometry (Softcover)

Challenging Problems in Geometry (Softcover)

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Continued from the back cover: "Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and many other subjects. Within each topic, the problems are arranged in approximate order of difficulty. Detailed solutions (as well as hints) are provided for all problems, and specific answers for most.

"Invaluable as a supplement to a basic geometry textbook, this volume offers both further explorations on specific topics and practice in developing problem-solving techniques."

BRIEF CONTENTS
  • Introduction
  • Preparing to Solve a Problem
  • Section I: A New Twist to Familiar Topics
    1. Congruence and Parallelism
    2. Triangles in Proportion
    3. The Pythagorean Theorem
    4. Area Relationships
  • Section II: Further Investigations
    1. A Geometric Potpourri
    2. Ptolemy and the Cyclic Quadrilateral
    3. Menelaus and Ceva: Collinearity and Concurrency
    4. The Simson Line
    5. the Theorem of Stewart
  • Hints
  • Appendix I: Selected Definitions, Postulates, and Theorems
  • Appendix II: Selected Formulas
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AUTHOR: Posamentier;Alfred S. and Charles T. Salkind
PUBLISHER: Dover Publications
ISBN-13: 9780486691541
ISBN-10: 0486691543
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