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Spherical Diangle Demonstration

Spherical Diangle Demonstration
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2017-11-23 17:43
AngleSolid GeometryGeometric Construction
In collections Spherical figures
This example demonstrates the geometric construction and properties of spherical diangles. It involves core mathematical concepts such as spherical geometry, spherical angles, and spherical triangles. Construction highlights include using commands like Sphere, PointIn, Plane, IntersectPath, Mirror, CircleArc, Segment, OrthogonalPlane, Intersect, and Angle. Suitable for high school students and math enthusiasts studying spherical and spatial geometry constructions.

GeoGebra Commands & Parameters

  1. Sphere(O, P) → a
  2. PointIn(a) → A
  3. PointIn(a) → B
  4. Plane(O, A, B) → b
  5. IntersectPath(b, a) → c
  6. Point(c) → C
  7. Mirror(C, O) → C'
  8. CircleArc(O, C', C) → d
  9. CircleArc(O, C', C) → e
  10. Segment(C', C) → f
  11. OrthogonalPlane(O, f) → g
  12. IntersectPath(g, a) → h
  13. Intersect(h, c) → D, E, ,
  14. CircleArc(O, E, C) → k
  15. Point(k) → F
  16. CircleArc(O, C', F) → p
  17. PointIn(a) → G
  18. Plane(C, C', G) → i
  19. IntersectPath(i, a) → q
  20. Intersect(h, q) → H, I, ,
  21. CircleArc(O, C, H) → r
  22. CircleArc(O, H, C') → s
  23. OrthogonalPlane(C', f) → j
  24. IntersectPath(b, j) → l
  25. IntersectPath(j, i) → m
  26. Angle(m, l) → α
  27. OrthogonalPlane(C, f) → n
  28. IntersectPath(n, b) → t
  29. IntersectPath(b, n) → f_1
  30. IntersectPath(i, n) → g_1
  31. Point(f_1) → J
  32. Point(g_1) → K
  33. Angle(J, C, K) → β