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Great Circles

Great Circles
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2018-12-21 00:12
CircleSolid GeometryGeometric Construction
In collections Spherical figures
This example demonstrates the concept of great circles. A great circle is a circle on the surface of a sphere that passes through the sphere's center. The core mathematical concepts involved include spherical geometry and circles. Using commands such as Sphere, PointIn, Plane, IntersectPath, and Intersect, one can construct great circles. Suitable for high school and above students to learn spherical geometry.

GeoGebra Commands & Parameters

  1. Sphere(O, P) → a
  2. PointIn(a) → A
  3. PointIn(a) → B
  4. Plane(O, A, B) → b
  5. IntersectPath(b, a) → c
  6. PointIn(a) → C
  7. PointIn(a) → D
  8. Plane(O, C, D) → d
  9. IntersectPath(d, a) → e
  10. Intersect(e, c) → E, F, ,