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Constructing a Hyperbola by Irina Boyadzhiev

Constructing a Hyperbola by Irina Boyadzhiev
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2015-11-18 07:39
Coordinate GeometryGeometric ConstructionLocus
In collections Conic Sections
This example demonstrates how to construct a hyperbola using two fixed points (foci) and the constant difference of distances. Key math concepts include hyperbola definition, distance formula, absolute value, and coordinate geometry. GeoGebra commands used are Point, Line, Segment, Circle, Intersect, and Locus. Suitable for high school students learning about hyperbolas and their geometric construction.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Point(xAxis) → F_1
  3. Line(J, K) → g
  4. Point(g) → L
  5. Point(g) → M
  6. Point(g) → N
  7. Segment(N, M) → j
  8. Segment(N, L) → k
  9. Circle(F_1, k) → q
  10. Circle(F_2, j) → r
  11. Intersect(q, r, 2) → Q
  12. Locus(Q, N) → loc1
  13. Intersect(q, r) → P, D, ,
  14. Locus(P, N) → loc2
  15. Segment(P, F_1) → a
  16. Segment(P, F_2) → b
  17. Segment(Q, F_1) → d
  18. Segment(Q, F_2) → e