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Index
Introduction
Preparing to Solve a Problem
SECTION I
A New Twist on Familiar Topics
1.
Congruence and Parallelism
1
49
2.
Triangles in Proportion
6
65
3.
The Pythagorean Theorem
11
77
4.
Circles Revisited
14
89
5.
Area Relationships
23
116
SECTION II
Further Investigations
6.
A Geometric Potpourri
29
135
7.
Ptolemy and the Cyclic Quadrilateral
33
164
8.
Menelaus and Ceva: Collinearity and Concurrency
36
175
9.
The Simson Line
43
202
10.
The Theorem of Stewart
45
214
Hints
Appendix I:
Selected Definitions, Postulates, and Theorems
Appendix II:
Selected Formulas
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