Geometry - eMyTextBooks

Geometry

Highschool geometry

The outline of topics reflects the California curriculum content standards (http://www.cde.ca.gov/be/st/).

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Geometry Main Page

• Motivation
• Introduction
• Geometry: Chapter 1 Definitions and Reasoning (Introduction)
• 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 R, R², R³
• 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: Apendix A Formulas
• Geometry: Apendix A Answers to problems

General geometry

• Part I- Euclidean Geometry:
  • Chapter 1. Points, Lines, Line Segments, and Rays
  • Chapter 2. Angles
  • Chapter 3. Properties
  • Chapter 4. Inductive and Deductive Reasoning
  • Chapter 5. Proof
  • Chapter 6. Five Postulates of Euclidean Geometry
  • Chapter 7. Vertical Angles
  • Chapter 8. Parallel and Perpendicular Lines and Planes
  • Chapter 9. Congruency vs. Similarity
  • Chapter 10. Congruent Triangles
  • Chapter 11. Similar Triangles
  • Chapter 12. Quadrilaterals
  • Chapter 13. Parallelograms
  • Chapter 14. Trapezoids
  • Chapter 15. Circles- Radii, Chords, and Diameters
  • Chapter 16. Circles- Arcs
  • Chapter 17. Circles- Tangents and Secants
  • Chapter 18. Circles- Sectors

• Part II- Coordinate Geometry:
  • Geometry:Synthetic versus analytic geometry

• Two and Three-Dimensional Geometry and Other Geometric Figures
  • Perimeter and Arclength
  • Area
  • Volume
  • Polygons
  • Triangles
  • Right Triangles and Pythagorean Theorem
  • Ellipses
  • 2-Dimensional Functions
  • 3-Dimensional Functions
  • Area Shapes Extended into 3rd Dimension
  • Area Shapes Extended into 3rd Dimension Linearly to a Line or Point
  • Polyhedras
  • Ellipsoids and Spheres
  • Coordinate Systems (currently incorrectly linked to Astronomy)

• Traditional Geometry:
  • Geometry:Topology
  • Geometry:Erlanger program
  • Geometry:Hyperbolic and elliptic geometry
  • Geometry:Affine geometry
  • Geometry:Projective geometry
  • Geometry:Inversive geometry

• Modern geometry
  • Geometry:Algebraic geometry
  • Geometry:Differential geometry
  • Geometry:Algebraic topology
  • Geometry:Noncommutative geometry

• Geometry: A an alternative way and alternative geometric means of calculating the area of a circle