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Sphere as a Locus: Quick Exploration and Prompt

Sphere as a Locus: Quick Exploration and Prompt
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2019-05-04 02:57
CircleSolid GeometryLocus
In collections GeoGebra 3D & AR: Geometry Resources & Challenges
This example demonstrates the concept of a sphere as a locus. Key mathematical concepts include the properties of spheres and loci in geometry. Using GeoGebra commands such as Dilate (dilate), Segment (segment), IntersectPath (intersect path), and Line (line), the generation process of the sphere can be dynamically explored. Suitable for high school geometry students and educators.

GeoGebra Commands & Parameters

  1. Dilate(B, If[0 < Animate ≤ 1, 1 - Animate, 0], A) → B'
  2. Segment(B, B') → f
  3. IntersectPath(z = 0, a) → c
  4. Line((0, 0, 0), (1, 0, 0)) → h
  5. Line((0, 0, 0), (0, 1, 0)) → i
  6. Line((0, 0, 0), (0, 0, 1)) → j