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The Parabola

The Parabola
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2015-11-30 19:11
VectorCoordinate GeometryParametric EquationGeometric Construction
This example demonstrates the geometric definition and properties of a parabola, involving core math concepts like vectors, points, coordinate geometry, and parametric equations. Construction highlights include using GeoGebra commands such as Intersect, Vector, Point, and OrthogonalLine. Suitable for high school mathematics instruction and coordinate geometry learning.

GeoGebra Commands & Parameters

  1. Intersect(d, xAxis, 1) → B
  2. Vector(A, B) → u
  3. Point(u) → C
  4. Intersect(d, xAxis, 2) → D
  5. Vector(C, D) → v
  6. Intersect(d, e, 1) → F
  7. Vector(E, F) → w
  8. OrthogonalLine(F, yAxis) → f
  9. Intersect(f, yAxis) → H
  10. Vector(G, H) → z
  11. Intersect(d, yAxis, 1) → J
  12. Vector(I, J) → g
  13. Point(e) → L
  14. Vector(K, L) → h
  15. Point(z) → M
  16. Point(z) → N