Problems In Geometry
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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
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