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Problems in Geometry

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Author(s): P. S. Modenov
Publisher: Mir Publishers
Year: 1981

Language: English
City: Moscow

Front Page
Title Page
CONTENTS
PREFACE
Chapter 1 VECTOR ALGEBRA
Sec. 1. Vectors in the plane (solved problems)
Sec. 2. Vectors in space (solved problems)
Sec. 3. Vectors in the plane and in space (problems with hints and answers)
CHAPTER 2 ANALYTIC GEOMETRY
Sec. 1. Application of analytic geometry (solved problems)
Sec. 2. Application of analytic geometry (problems with hints and answers)
1. Plane geometry
2. Solid geometry
CHAPTER 3 THE USE OF COMPLEX NUMBERS IN PLANE GEOMETRY
Sec. 1. Solved problems
Sec. 2. Problems with hints and answers
Chapter 4 INVERSION
Sec. 1. Inversion defined. Properties of inversion
Sec. 2. Problems involving inversion
Sec. 3. Mapping of regions under inversion
Sec. 4. Mechanical inversors: the Peaucellier cell and the Hart cell
Sec. 5. The geometry of Mascheroni
Sec. 6. Inversion of space
CHAPTER 5 BASIC DEFINITIONS, THEOREMS AND FORMULAS
Sec. 1. Determinants of order three
Sec. 2. Vector algebra
Sec. 3. Analytic geometry
Sec. 4. Complex numbers
LIST OF SYMBOLS
Appendix
LIST OF BASIC FORMULAS FOR REFERENCES
BIBLIOGRAPHY
NAME INDEX
SUBJECT INDEX