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Sphere - Triangular Projection

Sphere - Triangular Projection
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2015-10-22 23:27
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the triangular projection on a sphere. Key mathematical concepts include spherical geometry and triangular projection. Using GeoGebra commands such as Plane, Sphere, PointIn, Line, Intersect, Polygon, CircleArc, the construction of a triangle on a sphere and its projection is illustrated. Suitable for high school and above students or teachers for teaching or research on spherical geometry and triangular projection.

GeoGebra Commands & Parameters

  1. Plane(xAxis, zAxis) → a
  2. Sphere(A, 1) → b
  3. PointIn(b) → B
  4. PointIn(b) → C
  5. PointIn(b) → D
  6. Plane(B, C, D) → c
  7. PointIn(b) → E
  8. Line(E, B) → d
  9. Line(E, C) → e
  10. Line(E, D) → f
  11. Intersect(d, xOyPlane) → F
  12. Intersect(f, xOyPlane) → G
  13. Intersect(e, xOyPlane) → H
  14. Polygon(F, G, H) → poly1, h, f_1, g
  15. CircleArc(A, B, C) → k
  16. CircleArc(A, B, D) → p
  17. CircleArc(A, D, C) → q