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Horizontal Hyperbola by hgraber26

Horizontal Hyperbola by hgraber26
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2018-02-23 23:49
FunctionCoordinate Geometry
This example demonstrates the geometric construction of a horizontal hyperbola. Key mathematical concepts include foci, asymptotes, and vertices of the hyperbola. Using GeoGebra commands such as Focus, Point, Segment, and Asymptote, the properties of the hyperbola can be dynamically illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Focus(c_2) → F_2, F_1
  2. Point(c_2) → M_1
  3. Segment(F_1, M_1) → d_1
  4. Segment(F_2, M_1) → d_2
  5. Asymptote(c_2) → i, j
  6. Intersect(j, i) → F
  7. Center(Hyperbola[F_2, F_1, b]) → Center
  8. Vertex(Hyperbola[F_2, F_1, a]) → V_2, V_1, ,
  9. OrthogonalLine(B, xAxis) → e
  10. OrthogonalLine(A, xAxis) → f
  11. Line(V_1, xAxis) → g
  12. Line(V_2, xAxis) → l
  13. Intersect(e, g) → C
  14. Intersect(f, g) → D
  15. Intersect(f, l) → E
  16. Intersect(e, l) → G
  17. Segment(Center, V_1) → a_1
  18. Circle(Center, F_1) → p
  19. Point(p) → H
  20. Segment(Center, H) → m
  21. Segment(Center, H) → n
  22. Point(c_2) → M_2
  23. Segment(F_1, M_2) → d_4
  24. Segment(M_2, F_2) → d_3
  25. Line(V_2, yAxis) → q
  26. Line(V_1, yAxis) → r
  27. Line(I, xAxis) → s
  28. Line(K, xAxis) → t
  29. Intersect(q, s) → L
  30. Intersect(r, s) → M
  31. Intersect(r, t) → N
  32. Intersect(q, t) → O
  33. Polygon(L, M, N, O) → poly2, l_1, b_2, n_1, o
  34. Point(l_1) → J
  35. Intersect(r, s) → P
  36. Segment(V_1, P) → b_1
  37. Segment(Center, P) → c