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Van Schooten's Parabola Drawer

Van Schooten's Parabola Drawer
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2016-04-22 21:06
FunctionCoordinate GeometryGeometric ConstructionSlider AnimationLocus
This example demonstrates the definition of a parabola: the path traced by point F as point C moves along line A. It involves core concepts like the parabola's definition, focus, directrix, and coordinate geometry. Construction uses GeoGebra commands: Point, Segment, LineBisector, Line, Intersect, OrthogonalLine. Suitable for high school coordinate geometry teaching or exploration by math enthusiasts.

GeoGebra Commands & Parameters

  1. Point(A) → C
  2. Segment(C, B) → a
  3. LineBisector(a) → b
  4. Point(b) → D
  5. Segment(C, D) → c
  6. Segment(D, B) → d
  7. Line(B, c) → e
  8. Line(C, d) → f
  9. Intersect(f, e) → E
  10. Segment(E, C) → g
  11. Segment(E, B) → h
  12. OrthogonalLine(C, A) → i
  13. Intersect(b, i) → F