Geometry
GEOMETRY
Preface
[edit | edit source]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
[edit | edit source]Preface
[edit | edit source]Unit 1: Elements of Geometry
[edit | edit source]Chapter 1: An Introduction to Geometry
Chapter 2: Ruler and Compass Constructions
Chapter 3: Cartesian Geometry
Chapter 4: Rigid Motions
Unit 2: Geometric Proofs
[edit | edit source]Chapter 5: Lines on a Plane
Chapter 6: Congruence Theorems
Chapter 7: Triangle Theorems
Chapter 8: Quadrilateral Theorems
Chapter 9: Polygons
Chapter 10: Similarity Theorems
Chapter 11: Inequalities in Geometry
Chapter 12: Circle Theorems
Unit 3: Spatial Geometry
[edit | edit source]Chapter 13: Three-Dimensional Geometry
Chapter 14: Non-Euclidean Geometry
Unit 4: Geometric Measurement
[edit | edit source]Chapter 15: Trigonometry
Chapter 16: Area and Perimeter
Chapter 17: Surface Area, Volume, Mass, and Density
Unit 5: Coordinate Geometry
[edit | edit source]Unit 6: Advanced Geometry
[edit | edit source]Chapter 19: Projective Geometry
Chapter 20: Topology
Chapter 21: Affine Geometry
Chapter 22: Crystallography
High School Geometry
[edit | edit source]The outline of topics reflects the California curriculum content standards.
Navigation
- Geometry Main Page
- Motivation
- Introduction
- Geometry/Chapter 1 - HS Definitions and Reasoning (Introduction)
- Geometry/Chapter 1/Lesson 1 Introduction
- Geometry/Chapter 1/Lesson 2 Reasoning
- Geometry/Chapter 1/Lesson 3 Undefined Terms
- Geometry/Chapter 1/Lesson 4 Axioms/Postulates
- Geometry/Chapter 1/Lesson 5 Theorems
- Geometry/Chapter 1/Vocabulary Vocabulary
- Geometry/Chapter 2 Proofs
- Geometry/Chapter 3 Logical Arguments
- Geometry/Chapter 4 Congruence and Similarity
- Geometry/Chapter 5 Triangle: Congruence and Similiarity
- Geometry/Chapter 6 Triangle: Inequality Theorem
- Geometry/Chapter 7 Parallel Lines, Quadrilaterals, and Circles
- Geometry/Chapter 8 Perimeters, Areas, Volumes
- Geometry/Chapter 9 Prisms, Pyramids, Spheres
- Geometry/Chapter 10 Polygons
- Geometry/Chapter 11
- Geometry/Chapter 12 Angles: Interior and Exterior
- Geometry/Chapter 13 Angles: Complementary, Supplementary, Vertical
- Geometry/Chapter 14 Pythagorean Theorem: Proof
- Geometry/Chapter 15 Pythagorean Theorem: Distance and Triangles
- Geometry/Chapter 16 Constructions
- Geometry/Chapter 17 Coordinate Geometry
- Geometry/Chapter 18 Trigonometry
- Geometry/Chapter 19 Trigonometry: Solving Triangles
- Geometry/Chapter 20 Special Right Triangles
- Geometry/Chapter 21 Chords, Secants, Tangents, Inscribed Angles, Circumscribed Angles
- Geometry/Chapter 22 Rigid Motion
- Geometry/Appendix A Formulae
- Geometry/Appendix B Answers to problems
- Appendix C. Geometry/Postulates & Definitions
- Appendix D. Geometry/The SMSG Postulates for Euclidean Geometry