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Locus of Intersection of Normals

Locus of Intersection of Normals
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2015-09-17 09:01
Coordinate GeometryGeometric ConstructionLocus
In collections Properties of the Parabola
This example demonstrates the locus of the point of intersection of the normals at the ends of a focal chord, involving key math concepts like coordinate geometry, normal lines, focal chords, and locus. It is constructed using GeoGebra commands such as Point, Tangent, Line, Intersect, Segment, and OrthogonalLine, making it suitable for high school mathematics education and geometric constructions.

GeoGebra Commands & Parameters

  1. Point(c) → P
  2. Tangent(P, c) → b,
  3. Line(P, F) → d
  4. Line(P, F) → e
  5. Intersect(c, e, 2) → Q
  6. Segment(P, Q) → f
  7. Tangent(Q, c) → g,
  8. OrthogonalLine(P, b) → i
  9. OrthogonalLine(Q, g) → j
  10. Intersect(i, j) → T