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Parametrized Parallelogram

Parametrized Parallelogram
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2014-07-31 01:32
Coordinate GeometryParametric EquationGeometric Construction
This example demonstrates a mechanical linkage model where rod lengths can be altered, showcasing the properties of a parallelogram through parameterization. Key math concepts include parametric equations, coordinate geometry, and geometric construction. It uses GeoGebra commands like Circle, Intersect, Segment, Line, Midpoint, and Mirror. Suitable for high school and above learning parametric geometry and mechanical principles.

GeoGebra Commands & Parameters

  1. Circle(X, b) → e
  2. Circle(B, a) → f
  3. Intersect(e, f, 2) → D
  4. Segment(B, D) → g
  5. Line(B, D) → h
  6. Circle(D, c) → k
  7. Intersect(k, h, 2) → E
  8. Midpoint(X, E) → F
  9. Mirror(D, F) → D'
  10. Line(E, D') → i
  11. Circle(D', d) → p
  12. Intersect(p, i, 2) → Y
  13. Segment(D, X) → j
  14. Segment(D, E) → l
  15. Segment(E, D') → m
  16. Segment(D', Y) → n
  17. Segment(X, D') → q