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Geometry

  1. The distance between two points (x1, y1, z1) and (x2, y2, z2) is given by the Pythagorean Theorem:
    r = √ ((x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2)
  2. circumference (circle) = 2 π r
    area (circle) = π r2
    surface area (sphere) = 4 π r2
    volume (sphere) = 4/3 π r3
    surface area (cylinder) = 2 π r2 + 2 π r h
    volume (cylinder) = π r2 h
  3. For the right triangle:
    sin θ = o / h
    cos θ = a / h
    tan θ = o / a
  4. sin (a + b) = sin a cos b + cos a sin b
    cos (a + b) = cos a cos b - sin a sin b
    cos2 θ + sin2 θ = 1
    1 / cos2 θ = 1 + tan2 θ
  5. When two parallel lines are crossed by a transverse line, the alternate interior angles are equal:


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©2010, Kenneth R. Koehler. All Rights Reserved. This document may be freely reproduced provided that this copyright notice is included.

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