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Drawing a Parabola by Alexa Henderson

Drawing a Parabola by Alexa Henderson
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2016-02-05 06:56
FunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to construct a parabola using geometric methods. It involves core mathematical concepts such as the definition of a parabola, coordinate geometry, and geometric construction. Key GeoGebra commands and objects used include Segment, Point, Circle, OrthogonalLine, Intersect, Polygon, Perimeter, and Area. Suitable for high school students and teachers to understand the construction and properties of parabolas.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Point(a) → C
  3. Segment(A, C) → b
  4. Segment(C, B) → c
  5. Circle(D, b) → d
  6. Circle(D, c) → e
  7. Point(Circle[D, c]) → E
  8. Segment(D, E) → f
  9. Point(Circle[D, b]) → F
  10. Segment(D, F) → g
  11. OrthogonalLine(F, g) → h
  12. OrthogonalLine(E, h) → i
  13. Intersect(h, i) → G
  14. Polygon(E, G, F, D) → poly1, e_1, g_1, f_1, d_1
  15. Perimeter(poly1) → j
  16. Area(poly1) → k