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GEOMETRY QUICK STUDY GUIDE

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.


PLATFORM
 
TRIAL VERSION
 
FULL VERSION $19.99
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Audience:

Intended for everyone interested in Math and Science, particularly high school and undergraduate students.

Features:

  • Clear and concise explanations
  • Difficult concepts are explained in simple terms
  • Illustrated with graphs and diagrams
  • Search for the words or phrases
  • Access the guide anytime, anywhere - at home, on the train, in the subway.
  • Use your down time to prepare for an exam.
  • Always have the guide available for a quick reference.
  • Automatic synchronization between the handheld and the desktop PC. You could read half of the book on the handheld, then finish reading on the desktop. Annotations and drawings are also synchronized.

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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