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Intersection of Three Spheres

Intersection of Three Spheres
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2013-11-06 22:29
CircleFunctionSolid Geometry
In collections intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve
This example demonstrates the intersection of three spheres, involving concepts such as spheres, sine, exponent, median, etc. Using GeoGebra commands like Sphere, IntersectCircle, it visually illustrates the intersection geometry. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Sphere(M_1, P_1) → k_1
  2. Sphere(M_2, P_2) → k_2
  3. IntersectCircle(k_1, k_2) → c_1
  4. Sphere(M_3, P_3) → k_3
  5. IntersectCircle(k_1, k_3) → c_2
  6. IntersectCircle(k_3, k_2) → c_3

AI Drawing Prompt Reference

Draw the intersection of three spheres. First, create three spheres with centers M1, M2, M3 and radii P1, P2, P3 respectively. Then find the intersection circle c1 of spheres k1 and k2, the intersection circle c2 of spheres k1 and k3, and the intersection circle c3 of spheres k3 and k2.
The prompt above was compiled from the original drawing commands and is for reference only.