Drawing Parabola in Three Ways by Sanja Vranic

Drawing Parabola in Three Ways by Sanja Vranic
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2016-06-30 06:51
This example demonstrates the construction of a parabola using three different methods. Key mathematical concepts involved include parabola, conic sections, sine function, limits, circumcircle, and line segments. The construction utilizes GeoGebra commands and objects such as Point, Line, Segment, LineBisector, OrthogonalLine, Intersect, Angle, and Parabola. Suitable for high school and above students to understand the geometric definition and algebraic representation of parabolas.

GeoGebra Commands & Parameters

  1. Point(yAxis) → Fokus
  2. Line(B, C) → Direktrisa
  3. Point(Direktrisa) → A
  4. Segment(A, Fokus) → g
  5. LineBisector(A, Fokus) → Tangenta
  6. OrthogonalLine(A, Direktrisa) → f
  7. Intersect(Tangenta, f) → T
  8. Segment(T, Fokus) → i
  9. Segment(T, A) → j
  10. Point(Direktrisa) → D
  11. Angle(D, A, T) → α
  12. Parabola(Fokus, Direktrisa) → c