Geometry Quick Study Guide - FREE Geometry Background and Triangles chapters in the trial version

Boost Your grades with this illustrated quick-study guide. You will use it from high school all the way to graduate school and beyond. FREE first 3 chapters in the trial version.

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Submitted:	6/30/2009
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Download Time:	54 sec @ DSL (300Kb/s)
Requirements:	2MB and Free MobiPocket Reader

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Boost Your grades with this illustrated quick-study guide. You will use it from college to graduate school and beyond. FREE Geometry Background and Triangles chapters in the trial version.

Features

• Clear and concise explanations
• Difficult concepts are explained in simple terms
• Illustrated with graphs and diagrams

Table of Contents

Geometry Background

• Euclidean Geometry
• Euclidean Space
• Line
• Line Segment
• Incidence of planes and lines
  • Incidence Structure
• Euclidean Distance
  • One-dimensional distance
  • Two-dimensional distance
  • Three-dimensional distance
• Postulate
• The Plane Areas of Mathematics
• Translation
• Translational Symmetry
• Similarity

Triangles

• Triangle
• Types of triangles
• Points, lines and circles associated with a triangle
• Computing the area of a triangle
• Using vectors
• Using trigonometry
• Using coordinates
• Using Heron's formula
• Ceva's Theorem
• Heron's Formula
• Equilateral Triangle
• Right Angle
• Pythagorean Theorem
• Pythagorean Triple
• Heronian Triangle
• Triangle Inequality
• Pedoe's Inequality
• Similar triangles

Parallel Lines

• Congruence
• Parallel Postulate

Polygons

• Convex polygon
• Internal Angle
• Diagonal
• Perimeter
• Quadrilateral
• Isosceles Trapezoid
• Parallelogram
• Kite
• Rhombus, Rhomboid
• Rectangle
• Square
• Cyclic Quadrilateral, Brahmagupta's formula
• Tangential Quadrilateral
• Star Polygon

Circles

• Analytic results
• Properties
• Calculating the parameters
• Area of a Disk
• Circular Sector
• Circular Segment
• Circumference
• Nine-point Circle

Transformational Geometry

• Scaling
• Rotation,
• Euler's Formula,
• Rotation Matrix,
• Quaternions and Spatial Rotation
• Reflection
• Coordinate Rotations and Reflections
• Linear Map

Solid Geometry

• Dihedral angle and Solid angle
• The Cube
• Cuboid
• Hypercube Graph
• Parallelepiped
• Prisms
• The Tetrahedron and Pyramid
• Octahedron, Dodecahedron, Icosahedron
• Cones and Cylinders
• The Sphere and Spheroid,
• Quadrics:
  • Ellipsoid
  • Paraboloid
  • Hyperboloid

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