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Parabola [Focus & Directrix]

Parabola [Focus & Directrix]
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2017-05-10 13:47
Coordinate GeometryGeometric Construction
This example demonstrates the geometric properties of a parabola defined by its focus and directrix. Key mathematical concepts include the definition of a parabola in coordinate geometry. The construction uses GeoGebra commands such as Line, Circle, OrthogonalLine, and Intersect.

GeoGebra Commands & Parameters

  1. Line(A, B) → directrix
  2. Circle(F, r) → c
  3. OrthogonalLine(A, directrix) → f
  4. Circle(A, r) → h
  5. Intersect(h, f, 1) → C
  6. OrthogonalLine(C, f) → g
  7. Intersect(c, g, 1) → P_1
  8. Intersect(c, g, 2) → P_2