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Geometry

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GEOMETRY

Preface

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The word geometry originates from the Greek words (geo meaning world, metri meaning measure) and means, literally, to measure the earth. It is an ancient branch of mathematics, but its modern meaning depends largely on context. Geometry largely encompasses forms of non-numeric mathematics, such as those involving measurement, area and perimeter calculation, and work involving angles and position. It was one of the two fields of pre-modern mathematics, the other being the study of numbers. In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. This Wikibook is dedicated to high school geometry and geometry in general.

Contents

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Template:Geometry

Preface

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Chapter 075% developed

Unit 1: Elements of Geometry

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Chapter 1: An Introduction to Geometry25% developed
Chapter 2: Ruler and Compass Constructions25% developed
Chapter 3: Cartesian Geometry25% developed
Chapter 4: Rigid Motions25% developed

Unit 2: Geometric Proofs

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Chapter 5: Lines on a Plane25% developed
Chapter 6: Congruence Theorems25% developed
Chapter 7: Triangle Theorems25% developed
Chapter 8: Quadrilateral Theorems25% developed
Chapter 9: Polygons25% developed
Chapter 10: Similarity Theorems25% developed
Chapter 11: Inequalities in Geometry25% developed
Chapter 12: Circle Theorems25% developed

Unit 3: Spatial Geometry

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Chapter 13: Three-Dimensional Geometry25% developed
Chapter 14: Non-Euclidean Geometry25% developed

Unit 4: Geometric Measurement

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Chapter 15: Trigonometry25% developed
Chapter 16: Area and Perimeter25% developed
Chapter 17: Surface Area, Volume, Mass, and Density25% developed

Unit 5: Coordinate Geometry

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Chapter 18: Conic Sections25% developed

Unit 6: Advanced Geometry

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Chapter 19: Projective Geometry25% developed
Chapter 20: Topology25% developed
Chapter 21: Affine Geometry25% developed
Chapter 22: Crystallography25% developed

High School Geometry

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The outline of topics reflects the California curriculum content standards.

General Geometry

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