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Spherical Circle

Spherical Circle
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2017-11-23 13:15
Coordinate GeometrySolid GeometryGeometric Construction
In collections Spherical figures
This example demonstrates the formation and properties of a circle on a sphere. It involves core mathematical concepts such as spherical geometry, analytical geometry, quadratic functions, and locus. Construction highlights include using commands like Sphere, PointIn, Line, OrthogonalPlane, IntersectPath, and CircleArc. Suitable for high school and above students studying solid geometry and analytical geometry to understand the construction and characteristics of spherical circles.

GeoGebra Commands & Parameters

  1. Sphere(O, P) → a
  2. PointIn(a) → A
  3. PointIn(a) → B
  4. Line(O, A) → f
  5. OrthogonalPlane(B, f) → b
  6. IntersectPath(b, a) → c
  7. CircleArc(O, A, B) → d