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Globe in Cylinder

Globe in Cylinder
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2017-03-09 21:06
CircleSolid GeometryGeometric Construction
This example demonstrates a globe model inside a cylinder. It involves concepts such as cylinders, spheres, and geometric means. Using GeoGebra commands like Point, Segment, Circle, Rotate, etc., the geometric relationship between the cylinder and the sphere can be constructed. Suitable for high school mathematics education and learning solid geometry.

GeoGebra Commands & Parameters

  1. Point(Circle[C, 8]) → D
  2. Segment(C, D) → i
  3. Midpoint(i) → E
  4. Circle(E, D) → c
  5. Point(c) → F
  6. Rotate(F, 82.96619592°, E) → F'
  7. Angle(F, E, F') → β
  8. Segment(F, F') → j
  9. Rotate(F, 58°, F') → F'_1
  10. Angle(F, F', F'_1) → γ
  11. Rotate(F', (-(58°)), F) → F''
  12. Angle(F'', F, F') → δ
  13. Ray(F, F'') → k
  14. Ray(F', F'_1) → l
  15. Intersect(k, l) → G
  16. Polygon(G, F', F) → poly1, f_1, g_1, f'
  17. Sphere(E, 4) → a
  18. Intersect(j, yAxis) → A
  19. Cone(A, G, 2.6496) → b, d, e
  20. Angle(F', G, F) → α
  21. Segment(F, A) → f
  22. Segment(A, G) → g
  23. Point(c) → B
  24. Segment(E, B) → h