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Sphere and Incircle Geometric Construction

Sphere and Incircle Geometric Construction
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2017-10-06 03:37
CircleSolid GeometryGeometric Construction
This example demonstrates the geometric construction of a sphere and its incircle, highlighting the relationship between them. Core math concepts include sphere, incircle, tangent, rotation, logarithmic functions, and polygons. The construction uses GeoGebra commands like Intersect, Sphere, Circle, and Tangent. Suitable for high school solid geometry teaching to understand the geometric properties and construction methods of spheres and incircles.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Sphere(A, 3) → a
  3. Intersect(yAxis, a, 1) → B
  4. Intersect(xAxis, a, 1) → C
  5. Intersect(yAxis, a, 2) → D
  6. Circle(B, C, D) → c
  7. Intersect(xAxis, c, 1) → E
  8. Intersect(zAxis, a, 2) → F
  9. Circle(E, F, C) → d
  10. Intersect(yAxis, c, 1) → G
  11. Intersect(yAxis, c, 2) → H
  12. Circle(D, F, B) → e
  13. Tangent(G, e) → f,
  14. Tangent(G, c) → g,
  15. Tangent(C, d) → h,
  16. Tangent(F, e) → i,
  17. Tangent(F, d) → j,