Parabola Generator 2: Geometric Locus Construction

Parabola Generator 2: Geometric Locus Construction
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2016-04-30 03:59
This example demonstrates the geometric definition of a parabola as the locus of points equidistant from a focus and a directrix. Key mathematical concepts involve conic sections, focal properties, and perpendicular bisectors. The construction utilizes GeoGebra commands including Line, Point, OrthogonalLine, Segment, LineBisector, Intersect, and Locus to dynamically generate the curve. It is designed for high school geometry students or educators to visualize conic section generation and understand the relationship between algebraic definitions and geometric constructions.

GeoGebra Commands & Parameters

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