MathPlotAI Logo MathPlotAI

Sphere Interactives

Sphere Interactives
Loading the math board and drawing, please wait…
2018-04-23 09:26
VectorTrigonometrySolid Geometry
This example demonstrates the geometric properties of a sphere. It involves concepts such as spheres, vectors, and the cosine theorem. Using GeoGebra commands like Line, Point, Ellipse, Intersect, etc., it constructs sections and tangents of the sphere. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → D
  3. Point(a) → F
  4. Ellipse(D, F, G) → c
  5. Intersect(c, a, 1) → H
  6. Intersect(c, a, 2) → I
  7. Segment(H, I) → b
  8. Midpoint(b) → J
  9. Circle(J, I) → d
  10. Circle(J, F) → e
  11. Segment(J, F) → f
  12. Line(A_1, B_1) → a_1
  13. Point(a_1) → D_1
  14. Point(a_1) → F_1
  15. Ellipse(D_1, F_1, G_1) → c_1
  16. Intersect(c_1, a_1, 1) → H_1
  17. Intersect(c_1, a_1, 2) → I_1
  18. Segment(H_1, I_1) → b_1
  19. Midpoint(b_1) → J_1
  20. Circle(J_1, I_1) → d_1
  21. Circle(J_1, F_1) → e_1
  22. Segment(J_1, F_1) → f_1
  23. Line(A_2, B_2) → a_2
  24. Point(a_2) → D_2
  25. Point(a_2) → F_2
  26. Ellipse(D_2, F_2, G_2) → c_2
  27. Intersect(c_2, a_2, 1) → H_2
  28. Intersect(c_2, a_2, 2) → I_2
  29. Segment(H_2, I_2) → b_2
  30. Midpoint(b_2) → J_2
  31. Circle(J_2, I_2) → d_2
  32. Circle(J_2, F_2) → e_2
  33. Segment(J_2, F_2) → f_2