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Parabola - Geometric Definition II

Parabola - Geometric Definition II
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2015-03-05 11:28
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the geometric definition of a parabola. Key mathematical concepts include the symmetry of the parabola. Using GeoGebra commands such as Line, Point, Segment, LineBisector, OrthogonalLine, Intersect, etc., the construction of the parabola is shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → D
  3. Segment(D, F) → b
  4. LineBisector(b) → c
  5. OrthogonalLine(D, a) → d
  6. Intersect(c, d) → L
  7. Angle(L, D, B) → α
  8. Intersect(c, b) → C
  9. Angle(D, C, L) → β
  10. Segment(F, C) → e
  11. Segment(C, D) → f
  12. Locus(L, D) → loc1