ГЕОМЕТРИЯ — П. ЭБботт (DB+)

Stan: dobry+ (jak na zdjęciach)

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Opis pozycji:

Teach Yourself Series

A knowledge of the fundamental principles of geometry is essential for the study of other branches of mathematics such as trigonometry and mechanics, subjects which are of vital importance to engineers as well as to those who are proceeding to more advanced work in mathematics. This book provides a lucid introduction to the basic principles of practical and abstract geometry. It is designed for those with no previous knowledge of mathematics beyond simple arithmetic, and thus will be of value both to beginners and to students who seek a simple refresher course.

Contents:

PREFACE

ABBREVIATIONS

INTRODUCTION: WHAT IS GEOMETRY?

PART I - PRACTICAL AND THEORETICAL GEOMETRY

CHAPTER 1 - SOLIDS, LINESAND POINTS

CHAPTER 2- ANGLES

CHAPTER 3 - MEASUREMENT OF ANGLES

CHAPTER 4 - SIMPLE GEOMETRY OF PLANES

CHAPTER 5 - DIRECTION

CHAPTER 6 - TRIANGLES

CHAPTER 7 - PARALLEL STRAIGHT LINES

CHAPTER 8 - ANGLES OF A TRIANGLE

CHAPTER 9 - ISOSCELES TRIANGLES

CHAPTER 10 - SOME FUNDAMENTAL CONSTRUCTIONS

CHAPTER 11 - QUADRILATERALS

CHAPTER 12 - AREAS OF RECTILINEAL FIGURES

CHAPTER 13 - RIGHT-ANGLED TRIANGLES. THEOREM OF PYTHAGORAS

CHAPTER 14 - POLYGONS

CHAPTER 15 - LOCI

CHAPTER 16 - THE CIRCLE. ARCS, CIRCUMFERENCE, AREA

CHAPTER 17 - CHORDSAND SEGMENTS

CHAPTER 18 - ANGLES IN SEGMENTS

CHAPTER 19 - TANGENTS TO A CIRCLE

CHAPTER 20 - SIMILAR FIGURES. RATIO IN GEOMETRY

CHAPTER 21 - RELATIONS BETWEEN THE SIDES OF A TRIANGLE

CHAPTER 22 - SYMMETRY IN GEOMETRY

CHAPTER 23 - PARALLEL PLANES

CHAPTER 24 - PRISMS

CHAPTER 25 - PYRAMIDS

CHAPTER 26 - SOLIDS OF REVOLUTION

PART II - FORMAL GEOMETRY

INTRODUCTION

SECTION I - ANGLES AT A POINT

SECTION 2 - CONGRUENT TRIANGLES. EXTERIOR ANGLES

SECTION 3 - PARALLELS

SECTION 4 - ANGLES OF A TRIANGLE AND POLYGON

SECTION 5 - TRIANGLES (CONGRUENT AND ISOSCELES)

SECTION 6 - INEQUALITIES

SECTION 7 - PARALLELOGRAMS

SECTION 8 - AREAS

SECTION 9 - RIGHT-ANGLED TRIANGLES

SECTION 10 - EXTENSIONS OF THEOREM OF PYTHAGORAS

SECTION 11 - CHORDS OF CIRCLES

SECTION 12 - ANGLE PROPERTIES OF A CIRCLE

SECTION 13 - TANGENTS TO A CIRCLE

SECTION 14 - CONCURRENCIES CONNECTED WITH A TRIANGLE

SECTION 15 - RATIO IN GEOMETRY

SECTION 16 - CONSTRUCTIONS

APPENDIX A - GEOMETRICAL REPRESENTATION OF ALGEBRAICAL IDENTITIES

APPENDIX B - SECTIONS OF A CONE AND CYLINDER

ANSWERS