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Parabola Construction by Sarah Crofford

Parabola Construction by Sarah Crofford
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2015-08-03 21:53
Geometric ConstructionLocus
This example demonstrates how to construct a parabola through geometric construction. Key mathematical concepts include the definition and properties of a parabola. By constructing the altitude, angle bisector, and intersection of an isosceles triangle, the locus of the parabola is formed. GeoGebra commands used include Line, Point, OrthogonalLine, LineBisector, Intersect, and Locus. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(B, C) → a
  2. Point(a) → D
  3. OrthogonalLine(D, a) → b
  4. LineBisector(A, D) → c
  5. Intersect(b, c) → E
  6. Locus(E, D) → loc1

AI Drawing Prompt Reference

Draw a straight line as the directrix, pick a moving point on it, and erect the perpendicular through that point. Choose a fixed point as the focus, join it to the moving point, and construct the perpendicular bisector of that segment. The intersection of the two perpendicular lines traces a parabola as the point slides smoothly along the directrix in a geometric construction.
The prompt above was compiled from the original drawing commands and is for reference only.