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Circle on a Sphere by Justin Snuggleton

Circle on a Sphere by Justin Snuggleton
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2015-04-01 08:41
CircleSolid GeometryGeometric Construction
This example demonstrates a circle on a sphere. Key mathematical concepts include spherical geometry and circle properties. Using GeoGebra commands such as Sphere, IntersectPath, Circumference, Point, etc., a circle on a sphere can be constructed. Suitable for high school mathematics education and students learning spherical geometry.

GeoGebra Commands & Parameters

  1. Sphere((0, 0, 0), 1) → a
  2. IntersectPath(b, a) → c
  3. Circumference(c) → d
  4. Point(c) → A
  5. Midpoint(A, P) → B
  6. Line(B, (0, 0, 0)) → h
  7. Plane(P, A, (0, 0, 0)) → e
  8. IntersectPath(e, a) → f
  9. Intersect(h, f) → C, D
  10. CircumcircleArc(A, D, P) → p
  11. Length(p) → i
  12. Segment(P, A) → g