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Challenging Problems in Geometry~tqw~ darksiderg

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Challenging Problems in Geometry
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Type.................: Ebook
Part Size............: 6,701,962 bytes




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Posted by............: ~tqw~

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Release Notes
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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.
Arranged in order of difficulty. Detailed solutions.

Table Of Contents

Introduction iv
Preparing to Solve a Problem vii
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
Appendix I: Selected Definitions, Postulates, and Theorems 239
Appendix II: Selected Formulas 244

Product Details

* ISBN: 0486691543
* ISBN-13: 9780486691541
* Format: Paperback, 245pp
* Publisher: Dover Publications
* Pub. Date: May 1996
* Edition Number: 2

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