Geometry Quick Study Guide - FREE Geometry Background and Triangles chapters in the trial version | MobileReference | Education | Study Guides | eBooks


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

by MobileReference


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

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

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

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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