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Geometry

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This text presents geometry in an exemplary, accessible and attractive form. The book emphasizes both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. The book also teaches the student fundamental concepts and the difference between important reults and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course. There are many examples and exercises.

Author(s): Serge Lang, Gene Murrow
Edition: 2. A., 6. korr. Nachdr. 2000.
Publisher: Springer, Berlin
Year: 1990

Language: English
Pages: 408

Cover......Page 1
Copyright......Page 5
Contents......Page 6
Introduction......Page 10
CHAPTER 1 Distance and Angles......Page 14
CHAPTER 2 Coordinates......Page 78
CHAPTER 3 Area and the Pythagoras
Theorem......Page 94
CHAPTER 4 The Distance Formula......Page 123
CHAPTER 5 Some Applications of Right Triangles......Page 136
CHAPTER 6 Polygons......Page 175
CHAPTER 7 Congruent Triangles......Page 190
CHAPTER 8 Dilations and Similarities......Page 223
CHAPTER 9 Volumes......Page 274
CHAPTER 10 Vectors and Dot Product......Page 308
CHAPTER 11 Transformations......Page 334
CHAPTER 12 Isometries......Page 369
Index......Page 404