Locus Definition of a Parabola by Brian Sterr

Locus Definition of a Parabola by Brian Sterr
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2016-02-11 20:45
This example dynamically demonstrates the locus definition of a parabola: the set of all points equidistant from a fixed focus and directrix. It involves core concepts like parabola definition, coordinate geometry, distance formula, angles, and geometric transformations. Construction highlights include using GeoGebra commands such as Segment, Point, OrthogonalLine, LineBisector, Intersect, and Angle. Suitable for high school students to learn parabolic properties, practical for analytical geometry and geometric construction education.

GeoGebra Commands & Parameters

  1. Segment((-10, (-p)), (10, (-p))) → i
  2. Point(i) → B
  3. OrthogonalLine(B, a) → b
  4. LineBisector(A, B) → c
  5. Intersect(b, c) → P
  6. Segment(P, B) → d
  7. Segment(P, A) → e
  8. Angle(P, B, C) → α