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Vertical Hyperbola by hgraber26 (2)

Vertical Hyperbola by hgraber26 (2)
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2018-02-24 01:45
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction of a vertical hyperbola. It involves the core mathematical concept of hyperbolas. Using GeoGebra commands such as Focus, Point, Segment, etc., the foci, vertices, and asymptotes of the hyperbola can be constructed. 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. Point(c_2) → M_2
  6. Segment(F_2, M_2) → d_4
  7. Segment(M_2, F_1) → d_3
  8. Asymptote(c_2) → i, j
  9. Intersect(j, i) → F
  10. Center(Hyperbola[F_2, F_1, b]) → Center
  11. Vertex(Hyperbola[F_2, F_1, a]) → V_2, V_1, ,
  12. OrthogonalLine(B, xAxis) → e
  13. OrthogonalLine(A, xAxis) → f
  14. Line(V_1, xAxis) → g
  15. Line(V_2, xAxis) → l
  16. Intersect(e, g) → C
  17. Intersect(f, g) → D
  18. Intersect(f, l) → E
  19. Intersect(e, l) → G
  20. Polygon(C, D, E, G) → poly1, c_1, d_6, e_1, g_1
  21. Segment(Center, V_1) → a_1
  22. Segment(V_1, C) → b_1
  23. Circle(Center, F_1) → p
  24. Point(p) → H
  25. Segment(Center, H) → m
  26. Intersect(c_1, b_1) → I
  27. Intersect(g_1, c_1) → J
  28. Segment(Center, J) → c
  29. Segment(Center, H) → n