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Difference of Focal Lengths Demonstration

Difference of Focal Lengths Demonstration
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2015-08-03 15:45
FunctionCoordinate GeometryGeometric ConstructionLocus
In collections Geometric Properties of Conics
This example illustrates the constant difference of focal lengths in a hyperbola. It covers core concepts like hyperbola definition, foci, directrices, and eccentricity. Constructed using GeoGebra commands such as Point, Mirror, Hyperbola, Segment, Intersect, Line. Suitable for high school coordinate geometry teaching or self-learning to understand hyperbola geometric properties.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(p) → S
  3. Mirror(S, yAxis) → S'
  4. Hyperbola(S', S, A) → c
  5. Point(c) → P
  6. Segment(P, S') → g
  7. Segment(P, S) → h
  8. Intersect(i, k) → C
  9. Intersect(j, k) → D
  10. Intersect(j, l) → E
  11. Intersect(i, l) → F
  12. Segment(D, C) → m
  13. Segment(C, F) → n
  14. Segment(F, E) → q
  15. Segment(E, D) → r
  16. Line(D, F) → s
  17. Line(C, E) → t