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Parabola by Folding by Doug Kuhlmann

Parabola by Folding by Doug Kuhlmann
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2015-06-21 01:32
FunctionCoordinate GeometryGeometric Construction
In collections Conics Doug Kuhlmann
This example demonstrates how to generate a parabola by folding paper. Key mathematical concepts include the definition and properties of a parabola. Construction highlights include the use of GeoGebra commands such as Line, Point, Segment, Midpoint, LineBisector, OrthogonalLine, and Intersect. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(B, C) → d
  2. Point(d) → T
  3. Segment(F, T) → b
  4. Midpoint(b) → E
  5. LineBisector(b) → envelope
  6. OrthogonalLine(T, d) → a
  7. Intersect(envelope, a) → A
  8. Segment(A, F) → c

AI Drawing Prompt Reference

Draw a parabola by folding paper. Start by drawing a line BC, then take a point T on the line and draw a segment b connecting T and F. The midpoint of segment b is E. Draw the perpendicular bisector of segment b as the envelope, then draw a line a perpendicular to line BC and passing through point T. Finally, find the intersection point A of the envelope and line a, and draw a segment c connecting point A and F to form part of the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.