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Concentric Circle Construction of a Hyperbola

Concentric Circle Construction of a Hyperbola
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2016-11-04 16:36
Circle
This example demonstrates how to construct a hyperbola using concentric circles. Key mathematical concepts include circles and hyperbolas. Using GeoGebra commands such as Circle, Line, OrthogonalLine, and Intersect, a hyperbola can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(O, P) → c
  2. Circle(O, Q) → d
  3. Line(O, Q) → f
  4. OrthogonalLine(O, f) → g
  5. Intersect(c, g, 1) → D
  6. OrthogonalLine(D, g) → h
  7. Point(d) → Y
  8. Line(O, Y) → i
  9. Intersect(h, i) → X
  10. OrthogonalLine(Y, i) → j
  11. Intersect(g, j) → Z
  12. Line(X, g) → k
  13. Line(Z, f) → l
  14. Intersect(k, l) → A
  15. Intersect(c, f, 2) → I
  16. Intersect(d, g, 1) → J
  17. Circle(O, Segment[I, J]) → e
  18. Intersect(e, g, 1) → F_2
  19. Intersect(e, g, 2) → F_1
  20. Hyperbola(F_2, F_1, J) → p